{"id":1,"expression_no_base_symbol":"↩(≛($2389$↱$3101$))≨((↨$5383$)↬(⩷⨜⫀$5285$))","expression":"↩(≛(⋰*⋻1882↱⋰*⋻236A))≨((↨⋰*⋻4054)↬(⩷⨜⫀⋰*⋻3A75))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":107774,"operation_count":7,"complexity_ratio":15396.285714285714,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2389,"base":11},"right_expr":{"type":"numeric_atoms","value":3101,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5383,"base":11}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":5285,"base":11}}}}},"used_operators":["jLgFTUHLKL","0KMCeP1Jsh","W7eaUhjymW","SR5kFfdi6N","B5M0gjZbta","jiX4gk2v2Q","CDi0ktkjQ4"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rGHVDoGpnC","rGHVDoGpnC","oZj3VtZNQx","ruOEQAzv1W","nhYeJWJD5X"],"result":"⋰*⋻-1868A9","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2389","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=3101, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-8781","layer":3},{"info":"compute unary expreesion, input=-8781, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-17799","layer":2},{"info":"number node, value=5383","layer":4},{"info":"compute unary expreesion, input=5383, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=5285","layer":4},{"info":"compute unary expreesion, input=5285, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-5012","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5012, 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=-17799, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=36254","layer":1},{"info":"compute unary expreesion, input=36254, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-287252","layer":0}],"base":11,"result_base":11,"text":"↩(≛(⋰*⋻1882↱⋰*⋻236A))≨((↨⋰*⋻4054)↬(⩷⨜⫀⋰*⋻3A75))=⋰*⋻-1868A9","reverse_text":"⋰*⋻-1868A9=↩(≛(⋰*⋻1882↱⋰*⋻236A))≨((↨⋰*⋻4054)↬(⩷⨜⫀⋰*⋻3A75))","cot":[{"info":"⋰*⋻1882↱⋰*⋻236A=⋰*⋻-6663","layer":3},{"info":"≛⋰*⋻-6663=⋰*⋻-12411","layer":2},{"info":"↨⋰*⋻4054=NaN","layer":3},{"info":"⩷⨜⫀⋰*⋻3A75=⋰*⋻-3847","layer":3},{"info":"NaN↬⋰*⋻-3847=NaN","layer":2},{"info":"⋰*⋻-12411≨NaN=⋰*⋻25269","layer":1},{"info":"↩⋰*⋻25269=⋰*⋻-1868A9","layer":0}]}
{"id":2,"expression_no_base_symbol":"⨦⪝(⪡⇡≛($1114$⩼⇪↪$5335$⫸⇳($1869$*$5058$)))","expression":"⨦⪝(⪡⇡≛(⋰*⋻923⩼⇪↪⋰*⋻4010⫸⇳(⋰*⋻144A*⋰*⋻3889)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1950,"operation_count":5,"complexity_ratio":390.0,"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":1114,"base":11},"right_expr":{"type":"numeric_atoms","value":5335,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1869,"base":11},"right_expr":{"type":"numeric_atoms","value":5058,"base":11}}}}},"used_operators":["SUjycxNXIR","qL4PrbW1Dq","gx7XJ7hdpj","ocnLzx9CaJ","9HNa5Wba9A"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe"],"result":"⋰*⋻-1463","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1114","layer":4},{"info":"number node, value=5335","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=5335, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-35900","layer":3},{"info":"number node, value=1869","layer":4},{"info":"number node, value=5058","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=5058, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9453402","layer":3},{"info":"compute binary expreesion, left_input=-35900, right_input=9453402, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":11,"result_base":11,"text":"⨦⪝(⪡⇡≛(⋰*⋻923⩼⇪↪⋰*⋻4010⫸⇳(⋰*⋻144A*⋰*⋻3889)))=⋰*⋻-1463","reverse_text":"⋰*⋻-1463=⨦⪝(⪡⇡≛(⋰*⋻923⩼⇪↪⋰*⋻4010⫸⇳(⋰*⋻144A*⋰*⋻3889)))","cot":[{"info":"⋰*⋻923⩼⇪↪⋰*⋻4010=⋰*⋻-24A77","layer":3},{"info":"⋰*⋻144A*⋰*⋻3889=⋰*⋻5377532","layer":3},{"info":"⋰*⋻-24A77⫸⇳⋰*⋻5377532=⋰*⋻0","layer":2},{"info":"⪡⇡≛⋰*⋻0=⋰*⋻0","layer":1},{"info":"⨦⪝⋰*⋻0=⋰*⋻-1463","layer":0}]}
{"id":3,"expression_no_base_symbol":"(($1412$⩁⩘$1009$⪛⫼(⫓⪴$1043$))⫁⪎$1047$↤⩊$3963$∴($4136$⪮%⊝$3870$))∋(∡$1923$⪥$1296$)⪝(↩⪖($4513$↸$2183$))","expression":"((⋰*⋻1074⩁⩘⋰*⋻838⪛⫼(⫓⪴⋰*⋻869))⫁⪎⋰*⋻872↤⩊⋰*⋻2A83∴(⋰*⋻3120⪮%⊝⋰*⋻29A9))∋(∡⋰*⋻1499⪥⋰*⋻A79)⪝(↩⪖(⋰*⋻3433↸⋰*⋻1705))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4204,"operation_count":13,"complexity_ratio":323.38461538461536,"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":1412,"base":11},"right_expr":{"type":"numeric_atoms","value":1009,"base":11}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1043,"base":11}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1047,"base":11},"right_expr":{"type":"numeric_atoms","value":3963,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4136,"base":11},"right_expr":{"type":"numeric_atoms","value":3870,"base":11}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1923,"base":11},"right_expr":{"type":"numeric_atoms","value":1296,"base":11}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4513,"base":11},"right_expr":{"type":"numeric_atoms","value":2183,"base":11}}}}},"used_operators":["ukq6epAj5P","xRrnTEsQ6j","hyuBjUqXlG","gub5Cegaqo","eLxqMNBOBk","hrf7POJlIJ","13rbtpv6ld","IWmyXbctLI","wicAB68Tmb","pRsWfj4Fpp","QbnwKVWMIQ","fG6uBQFnGz","1eCjFl0mb9"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","IWmyXbctLI","9HNa5Wba9A","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1412","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=1009, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=4984","layer":3},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1087849","layer":3},{"info":"compute binary expreesion, left_input=4984, right_input=1087849, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=1047","layer":4},{"info":"number node, value=3963","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=3963, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=4136","layer":4},{"info":"number node, value=3870","layer":4},{"info":"compute binary expreesion, left_input=4136, right_input=3870, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8588","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8588, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"number node, value=1923","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=1296, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12344","layer":3},{"info":"compute unary expreesion, input=12344, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-12344","layer":2},{"info":"number node, value=4513","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=4513, right_input=2183, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4513","layer":3},{"info":"compute unary expreesion, input=4513, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-30060","layer":2},{"info":"compute binary expreesion, left_input=-12344, right_input=-30060, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-71263","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-71263, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1074⩁⩘⋰*⋻838⪛⫼(⫓⪴⋰*⋻869))⫁⪎⋰*⋻872↤⩊⋰*⋻2A83∴(⋰*⋻3120⪮%⊝⋰*⋻29A9))∋(∡⋰*⋻1499⪥⋰*⋻A79)⪝(↩⪖(⋰*⋻3433↸⋰*⋻1705))=NaN","reverse_text":"NaN=((⋰*⋻1074⩁⩘⋰*⋻838⪛⫼(⫓⪴⋰*⋻869))⫁⪎⋰*⋻872↤⩊⋰*⋻2A83∴(⋰*⋻3120⪮%⊝⋰*⋻29A9))∋(∡⋰*⋻1499⪥⋰*⋻A79)⪝(↩⪖(⋰*⋻3433↸⋰*⋻1705))","cot":[{"info":"⋰*⋻1074⩁⩘⋰*⋻838=⋰*⋻3821","layer":3},{"info":"⫓⪴⋰*⋻869=⋰*⋻683354","layer":3},{"info":"⋰*⋻3821⪛⫼⋰*⋻683354=⋰*⋻800","layer":2},{"info":"⋰*⋻872↤⩊⋰*⋻2A83=NaN","layer":3},{"info":"⋰*⋻3120⪮%⊝⋰*⋻29A9=⋰*⋻64A8","layer":3},{"info":"NaN∴⋰*⋻64A8=NaN","layer":2},{"info":"⋰*⋻800⫁⪎NaN=NaN","layer":1},{"info":"⋰*⋻1499⪥⋰*⋻A79=⋰*⋻9302","layer":3},{"info":"∡⋰*⋻9302=⋰*⋻-9302","layer":2},{"info":"⋰*⋻3433↸⋰*⋻1705=⋰*⋻3433","layer":3},{"info":"↩⪖⋰*⋻3433=⋰*⋻-20648","layer":2},{"info":"⋰*⋻-9302⪝⋰*⋻-20648=⋰*⋻-495A5","layer":1},{"info":"NaN∋⋰*⋻-495A5=NaN","layer":0}]}
{"id":4,"expression_no_base_symbol":"⩰(↯⪼($2442$⪐))⫒⫫($1267$∑⇟⊟$3159$∕⩚($2957$⪨≂$2720$))","expression":"⩰(↯⪼(⋰*⋻1920⪐))⫒⫫(⋰*⋻A52∑⇟⊟⋰*⋻2412∕⩚(⋰*⋻2249⪨≂⋰*⋻2053))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":77,"operation_count":7,"complexity_ratio":11.0,"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":2442,"base":11}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1267,"base":11},"right_expr":{"type":"numeric_atoms","value":3159,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2957,"base":11},"right_expr":{"type":"numeric_atoms","value":2720,"base":11}}}}},"used_operators":["WkeUrDK8WX","6Ko8hGgeMq","8jW3W4yZS5","eH2TOUuTDT","z9ffQ9n5Zr","U7g4x0WXJJ","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2442","layer":4},{"info":"compute unary expreesion, input=2442, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4884","layer":3},{"info":"compute unary expreesion, input=4884, 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=1267","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=3159, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2957","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=2720, 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=576","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=576, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩰(↯⪼(⋰*⋻1920⪐))⫒⫫(⋰*⋻A52∑⇟⊟⋰*⋻2412∕⩚(⋰*⋻2249⪨≂⋰*⋻2053))=NaN","reverse_text":"NaN=⩰(↯⪼(⋰*⋻1920⪐))⫒⫫(⋰*⋻A52∑⇟⊟⋰*⋻2412∕⩚(⋰*⋻2249⪨≂⋰*⋻2053))","cot":[{"info":"⋰*⋻1920⪐=⋰*⋻3740","layer":3},{"info":"↯⪼⋰*⋻3740=⋰*⋻-1A","layer":2},{"info":"⋰*⋻A52∑⇟⊟⋰*⋻2412=NaN","layer":3},{"info":"⋰*⋻2249⪨≂⋰*⋻2053=⋰*⋻484","layer":3},{"info":"NaN∕⩚⋰*⋻484=NaN","layer":2},{"info":"⋰*⋻-1A⫒⫫NaN=NaN","layer":1},{"info":"⩰NaN=NaN","layer":0}]}
{"id":5,"expression_no_base_symbol":"((⋂(⨵≀≌$1023$))≚⊃≕$1447$⫁⪎$5330$⪥$2960$⇤$7226$)⩖⊿(⨂⪏⇭($1101$∴$1346$⋣⋖($4583$⨭⪣$1248$)))","expression":"((⋂(⨵≀≌⋰*⋻850))≚⊃≕⋰*⋻10A6⫁⪎⋰*⋻4006⪥⋰*⋻2251⇤⋰*⋻547A)⩖⊿(⨂⪏⇭(⋰*⋻911∴⋰*⋻1014⋣⋖(⋰*⋻3497⨭⪣⋰*⋻A35)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":180,"operation_count":11,"complexity_ratio":16.363636363636363,"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":1023,"base":11}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1447,"base":11},"right_expr":{"type":"numeric_atoms","value":5330,"base":11}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2960,"base":11},"right_expr":{"type":"numeric_atoms","value":7226,"base":11}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1101,"base":11},"right_expr":{"type":"numeric_atoms","value":1346,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4583,"base":11},"right_expr":{"type":"numeric_atoms","value":1248,"base":11}}}}},"used_operators":["RZ5CV9rWsJ","Bmrmz2XGnR","BUOGQAYlQx","srAu1WTS94","QbnwKVWMIQ","xRrnTEsQ6j","YSKBFp38Pu","AYdpE9sXAk","J0M6qkBnIM","hrf7POJlIJ","kn8WO9XteQ"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⋰*⋻-378974","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3069","layer":3},{"info":"compute unary expreesion, input=-3069, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=43562","layer":2},{"info":"number node, value=1447","layer":4},{"info":"number node, value=5330","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=5330, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3883","layer":3},{"info":"number node, value=2960","layer":4},{"info":"number node, value=7226","layer":4},{"info":"compute binary expreesion, left_input=2960, right_input=7226, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-48082","layer":3},{"info":"compute binary expreesion, left_input=-3883, right_input=-48082, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=43562, right_input=-1798, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=170486","layer":1},{"info":"number node, value=1101","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=1346, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3850","layer":3},{"info":"number node, value=4583","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=1248, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3304","layer":3},{"info":"compute binary expreesion, left_input=3850, right_input=3304, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3850","layer":2},{"info":"compute unary expreesion, input=3850, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=10571","layer":1},{"info":"compute binary expreesion, left_input=170486, right_input=10571, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-597458","layer":0}],"base":11,"result_base":11,"text":"((⋂(⨵≀≌⋰*⋻850))≚⊃≕⋰*⋻10A6⫁⪎⋰*⋻4006⪥⋰*⋻2251⇤⋰*⋻547A)⩖⊿(⨂⪏⇭(⋰*⋻911∴⋰*⋻1014⋣⋖(⋰*⋻3497⨭⪣⋰*⋻A35)))=⋰*⋻-378974","reverse_text":"⋰*⋻-378974=((⋂(⨵≀≌⋰*⋻850))≚⊃≕⋰*⋻10A6⫁⪎⋰*⋻4006⪥⋰*⋻2251⇤⋰*⋻547A)⩖⊿(⨂⪏⇭(⋰*⋻911∴⋰*⋻1014⋣⋖(⋰*⋻3497⨭⪣⋰*⋻A35)))","cot":[{"info":"⨵≀≌⋰*⋻850=⋰*⋻-2340","layer":3},{"info":"⋂⋰*⋻-2340=⋰*⋻2A802","layer":2},{"info":"⋰*⋻10A6⫁⪎⋰*⋻4006=⋰*⋻-2A10","layer":3},{"info":"⋰*⋻2251⇤⋰*⋻547A=⋰*⋻-33141","layer":3},{"info":"⋰*⋻-2A10⪥⋰*⋻-33141=⋰*⋻-1395","layer":2},{"info":"⋰*⋻2A802≚⊃≕⋰*⋻-1395=⋰*⋻1070A8","layer":1},{"info":"⋰*⋻911∴⋰*⋻1014=⋰*⋻2990","layer":3},{"info":"⋰*⋻3497⨭⪣⋰*⋻A35=⋰*⋻2534","layer":3},{"info":"⋰*⋻2990⋣⋖⋰*⋻2534=⋰*⋻2990","layer":2},{"info":"⨂⪏⇭⋰*⋻2990=⋰*⋻7A40","layer":1},{"info":"⋰*⋻1070A8⩖⊿⋰*⋻7A40=⋰*⋻-378974","layer":0}]}
{"id":6,"expression_no_base_symbol":"⇠((⩎⋉($1204$⪟⇏$2905$))⨒($2497$⨫⇇↔$2572$)⩣⫁∢($1654$⇌⫙⪟$5941$))","expression":"⇠((⩎⋉(⋰*⋻9A5⪟⇏⋰*⋻2201))⨒(⋰*⋻1970⨫⇇↔⋰*⋻1A29)⩣⫁∢(⋰*⋻1274⇌⫙⪟⋰*⋻4511))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":190,"operation_count":7,"complexity_ratio":27.142857142857142,"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":1204,"base":11},"right_expr":{"type":"numeric_atoms","value":2905,"base":11}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2497,"base":11},"right_expr":{"type":"numeric_atoms","value":2572,"base":11}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1654,"base":11},"right_expr":{"type":"numeric_atoms","value":5941,"base":11}}}}},"used_operators":["18saOjeKKm","y75s1iXyHd","FlXk3pOYe8","GODebY97qR","JDUIKTTSIa","LXhwmt4mBO","AFVx7xoS7T"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⋰*⋻11A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=2905, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=67","layer":2},{"info":"number node, value=2497","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=2572, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1654","layer":4},{"info":"number node, value=5941","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=5941, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=113, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=2673","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=2673, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=100","layer":1},{"info":"compute unary expreesion, input=100, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=142","layer":0}],"base":11,"result_base":11,"text":"⇠((⩎⋉(⋰*⋻9A5⪟⇏⋰*⋻2201))⨒(⋰*⋻1970⨫⇇↔⋰*⋻1A29)⩣⫁∢(⋰*⋻1274⇌⫙⪟⋰*⋻4511))=⋰*⋻11A","reverse_text":"⋰*⋻11A=⇠((⩎⋉(⋰*⋻9A5⪟⇏⋰*⋻2201))⨒(⋰*⋻1970⨫⇇↔⋰*⋻1A29)⩣⫁∢(⋰*⋻1274⇌⫙⪟⋰*⋻4511))","cot":[{"info":"⋰*⋻9A5⪟⇏⋰*⋻2201=⋰*⋻-1","layer":3},{"info":"⩎⋉⋰*⋻-1=⋰*⋻61","layer":2},{"info":"⋰*⋻1970⨫⇇↔⋰*⋻1A29=⋰*⋻-43A","layer":3},{"info":"⋰*⋻1274⇌⫙⪟⋰*⋻4511=⋰*⋻A3","layer":3},{"info":"⋰*⋻-43A⩣⫁∢⋰*⋻A3=⋰*⋻2010","layer":2},{"info":"⋰*⋻61⨒⋰*⋻2010=⋰*⋻91","layer":1},{"info":"⇠⋰*⋻91=⋰*⋻11A","layer":0}]}
{"id":7,"expression_no_base_symbol":"⇋⊎⋝(($1957$≀⫉$5042$↺($2008$≀⩗∶$1622$))⪪$2375$⪃⊛⇣$2267$⊱⇼⊻(∂⩏⊆$2252$))","expression":"⇋⊎⋝((⋰*⋻151A≀⫉⋰*⋻3874↺(⋰*⋻1566≀⩗∶⋰*⋻1245))⪪⋰*⋻186A⪃⊛⇣⋰*⋻1781⊱⇼⊻(∂⩏⊆⋰*⋻1768))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":833,"operation_count":8,"complexity_ratio":104.125,"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":1957,"base":11},"right_expr":{"type":"numeric_atoms","value":5042,"base":11}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2008,"base":11},"right_expr":{"type":"numeric_atoms","value":1622,"base":11}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2375,"base":11},"right_expr":{"type":"numeric_atoms","value":2267,"base":11}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2252,"base":11}}}}},"used_operators":["CzM2PEoXns","xD69zh8xqp","7j4O788W3g","oZj3VtZNQx","8INZBEW696","FyVja0WsTP","rrgAzCduG9","8WDwsbhb0R"],"dependent_operators":["dWAJyo7jo9","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","14qkJME0vr","eLAdDNolq6"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1957","layer":4},{"info":"number node, value=5042","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=5042, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2008","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=1622, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2822, 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=2375","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=2267, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2252","layer":4},{"info":"compute unary expreesion, input=2252, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-6835","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-6835, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=7738","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7738, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⇋⊎⋝((⋰*⋻151A≀⫉⋰*⋻3874↺(⋰*⋻1566≀⩗∶⋰*⋻1245))⪪⋰*⋻186A⪃⊛⇣⋰*⋻1781⊱⇼⊻(∂⩏⊆⋰*⋻1768))=⋰*⋻0","reverse_text":"⋰*⋻0=⇋⊎⋝((⋰*⋻151A≀⫉⋰*⋻3874↺(⋰*⋻1566≀⩗∶⋰*⋻1245))⪪⋰*⋻186A⪃⊛⇣⋰*⋻1781⊱⇼⊻(∂⩏⊆⋰*⋻1768))","cot":[{"info":"⋰*⋻151A≀⫉⋰*⋻3874=⋰*⋻2136","layer":3},{"info":"⋰*⋻1566≀⩗∶⋰*⋻1245=⋰*⋻0","layer":3},{"info":"⋰*⋻2136↺⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻186A⪃⊛⇣⋰*⋻1781=⋰*⋻A22","layer":3},{"info":"∂⩏⊆⋰*⋻1768=⋰*⋻-5154","layer":3},{"info":"⋰*⋻A22⊱⇼⊻⋰*⋻-5154=⋰*⋻58A5","layer":2},{"info":"⋰*⋻0⪪⋰*⋻58A5=⋰*⋻0","layer":1},{"info":"⇋⊎⋝⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":8,"expression_no_base_symbol":"(⪫⨮⊛(($2889$≑≱⪘)⊲⩕⊾(⨞⊢$8089$)))-(⫶⊄≣(≇⪴(⋗⩬⋾$6197$)))","expression":"(⪫⨮⊛((⋰*⋻2197≑≱⪘)⊲⩕⊾(⨞⊢⋰*⋻6094)))-(⫶⊄≣(≇⪴(⋗⩬⋾⋰*⋻4724)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17547521,"operation_count":8,"complexity_ratio":2193440.125,"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":2889,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":8089,"base":11}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6197,"base":11}}}}},"used_operators":["rysDP5nf3Z","w5FWba1tyO","DmTXOeWf9t","tGSeddj7UK","xUOZtlo3hN","wxb3vTeyAj","zoVPnxeHJ3","DpFCA1CohY"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2889","layer":4},{"info":"compute unary expreesion, input=2889, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=71479","layer":3},{"info":"number node, value=8089","layer":4},{"info":"compute unary expreesion, input=8089, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8263","layer":3},{"info":"compute binary expreesion, left_input=71479, right_input=-8263, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-969874","layer":2},{"info":"compute unary expreesion, input=-969874, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"number node, value=6197","layer":4},{"info":"compute unary expreesion, input=6197, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18591","layer":3},{"info":"compute unary expreesion, input=-18591, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-74364","layer":2},{"info":"compute unary expreesion, input=-74364, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪫⨮⊛((⋰*⋻2197≑≱⪘)⊲⩕⊾(⨞⊢⋰*⋻6094)))-(⫶⊄≣(≇⪴(⋗⩬⋾⋰*⋻4724)))=NaN","reverse_text":"NaN=(⪫⨮⊛((⋰*⋻2197≑≱⪘)⊲⩕⊾(⨞⊢⋰*⋻6094)))-(⫶⊄≣(≇⪴(⋗⩬⋾⋰*⋻4724)))","cot":[{"info":"⋰*⋻2197≑≱⪘=⋰*⋻49781","layer":3},{"info":"⨞⊢⋰*⋻6094=⋰*⋻-6232","layer":3},{"info":"⋰*⋻49781⊲⩕⊾⋰*⋻-6232=⋰*⋻-602754","layer":2},{"info":"⪫⨮⊛⋰*⋻-602754=NaN","layer":1},{"info":"⋗⩬⋾⋰*⋻4724=⋰*⋻-12A71","layer":3},{"info":"≇⪴⋰*⋻-12A71=⋰*⋻-50964","layer":2},{"info":"⫶⊄≣⋰*⋻-50964=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"(((⨩∲⋌$1927$)⊭↱$1210$≧⫂∧$1299$)⊪)∲⫓(⊗$3736$)⇍⊗($3287$/$2584$)⊋≦⊧(⪸(≦∁$6306$))","expression":"(((⨩∲⋌⋰*⋻14A2)⊭↱⋰*⋻A00≧⫂∧⋰*⋻A81)⊪)∲⫓(⊗⋰*⋻2897)⇍⊗(⋰*⋻2519/⋰*⋻1A3A)⊋≦⊧(⪸(≦∁⋰*⋻4813))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":574,"operation_count":11,"complexity_ratio":52.18181818181818,"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":1927,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1210,"base":11},"right_expr":{"type":"numeric_atoms","value":1299,"base":11}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3736,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3287,"base":11},"right_expr":{"type":"numeric_atoms","value":2584,"base":11}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6306,"base":11}}}}},"used_operators":["i8ToyICDmI","zVYPLywUTj","COABgblf1C","aSik1wnThz","Ph9nP6C5qx","oRDoc9rAEX","5uvYHDjeKN","RhiyfpczSx","XhwjNDsVaA","86A5ENbKR9","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1927","layer":4},{"info":"compute unary expreesion, input=1927, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2450","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1299, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=826","layer":3},{"info":"compute binary expreesion, left_input=-2450, right_input=826, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6557","layer":2},{"info":"compute unary expreesion, input=6557, 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=3736","layer":4},{"info":"compute unary expreesion, input=3736, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-7472","layer":3},{"info":"number node, value=3287","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=3287, right_input=2584, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-7472, right_input=1, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=6306","layer":4},{"info":"compute unary expreesion, input=6306, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6306","layer":3},{"info":"compute unary expreesion, input=6306, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-106993","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-106993, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=192, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⨩∲⋌⋰*⋻14A2)⊭↱⋰*⋻A00≧⫂∧⋰*⋻A81)⊪)∲⫓(⊗⋰*⋻2897)⇍⊗(⋰*⋻2519/⋰*⋻1A3A)⊋≦⊧(⪸(≦∁⋰*⋻4813))=⋰*⋻0","reverse_text":"⋰*⋻0=(((⨩∲⋌⋰*⋻14A2)⊭↱⋰*⋻A00≧⫂∧⋰*⋻A81)⊪)∲⫓(⊗⋰*⋻2897)⇍⊗(⋰*⋻2519/⋰*⋻1A3A)⊋≦⊧(⪸(≦∁⋰*⋻4813))","cot":[{"info":"⨩∲⋌⋰*⋻14A2=⋰*⋻-1928","layer":3},{"info":"⋰*⋻A00≧⫂∧⋰*⋻A81=⋰*⋻691","layer":3},{"info":"⋰*⋻-1928⊭↱⋰*⋻691=⋰*⋻4A21","layer":2},{"info":"⋰*⋻4A21⊪=⋰*⋻0","layer":1},{"info":"⊗⋰*⋻2897=⋰*⋻-5683","layer":3},{"info":"⋰*⋻2519/⋰*⋻1A3A=⋰*⋻1","layer":3},{"info":"⋰*⋻-5683⇍⊗⋰*⋻1=⋰*⋻-202","layer":2},{"info":"≦∁⋰*⋻4813=⋰*⋻4813","layer":3},{"info":"⪸⋰*⋻4813=⋰*⋻-73427","layer":2},{"info":"⋰*⋻-202⊋≦⊧⋰*⋻-73427=⋰*⋻165","layer":1},{"info":"⋰*⋻0∲⫓⋰*⋻165=⋰*⋻0","layer":0}]}
{"id":10,"expression_no_base_symbol":"(($3437$+$6929$)∝($5954$⩠)⩹(≇⪴$1454$)⨂≜$3427$⨂≜$4814$)⊕∕(⇖(∥⊫$7196$⩷∴$2723$))","expression":"((⋰*⋻2645+⋰*⋻522A)∝(⋰*⋻4523⩠)⩹(≇⪴⋰*⋻1102)⨂≜⋰*⋻2636⨂≜⋰*⋻3687)⊕∕(⇖(∥⊫⋰*⋻5452⩷∴⋰*⋻2056))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6575,"operation_count":11,"complexity_ratio":597.7272727272727,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3437,"base":11},"right_expr":{"type":"numeric_atoms","value":6929,"base":11}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5954,"base":11}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1454,"base":11}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3427,"base":11},"right_expr":{"type":"numeric_atoms","value":4814,"base":11}}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7196,"base":11},"right_expr":{"type":"numeric_atoms","value":2723,"base":11}}}}},"used_operators":["9cloC0Ngie","2Wsdkap16l","cTDWOvIxvz","W4YGzv6Whe","sJAwomhLZr","k1SHOSEABc","zoVPnxeHJ3","tfWHHpNKUN","P8v4zCKN1o","9FxExcQeMw"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","7j4O788W3g","W4YGzv6Whe","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3437","layer":4},{"info":"number node, value=6929","layer":4},{"info":"compute binary expreesion, left_input=3437, right_input=6929, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10366","layer":3},{"info":"number node, value=5954","layer":4},{"info":"compute unary expreesion, input=5954, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10366, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=10371","layer":2},{"info":"number node, value=1454","layer":4},{"info":"compute unary expreesion, input=1454, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-3022","layer":3},{"info":"number node, value=3427","layer":4},{"info":"number node, value=4814","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=4814, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3022, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10371, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=7196","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=7196, right_input=2723, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8914","layer":3},{"info":"compute unary expreesion, input=8914, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9782","layer":2},{"info":"compute unary expreesion, input=9782, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2645+⋰*⋻522A)∝(⋰*⋻4523⩠)⩹(≇⪴⋰*⋻1102)⨂≜⋰*⋻2636⨂≜⋰*⋻3687)⊕∕(⇖(∥⊫⋰*⋻5452⩷∴⋰*⋻2056))=NaN","reverse_text":"NaN=((⋰*⋻2645+⋰*⋻522A)∝(⋰*⋻4523⩠)⩹(≇⪴⋰*⋻1102)⨂≜⋰*⋻2636⨂≜⋰*⋻3687)⊕∕(⇖(∥⊫⋰*⋻5452⩷∴⋰*⋻2056))","cot":[{"info":"⋰*⋻2645+⋰*⋻522A=⋰*⋻7874","layer":3},{"info":"⋰*⋻4523⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻7874∝⋰*⋻0=⋰*⋻7879","layer":2},{"info":"≇⪴⋰*⋻1102=⋰*⋻-22A8","layer":3},{"info":"⋰*⋻2636⨂≜⋰*⋻3687=NaN","layer":3},{"info":"⋰*⋻-22A8⨂≜NaN=NaN","layer":2},{"info":"⋰*⋻7879⩹NaN=NaN","layer":1},{"info":"⋰*⋻5452⩷∴⋰*⋻2056=⋰*⋻6774","layer":3},{"info":"∥⊫⋰*⋻6774=⋰*⋻7393","layer":2},{"info":"⇖⋰*⋻7393=⋰*⋻136","layer":1},{"info":"NaN⊕∕⋰*⋻136=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"∡$4260$⋥⋵⩄$5310$⩒⫫($1684$≭$1614$)⨽(⊲⪭$3709$)⇻⋧≁(⇙⪊$1035$)","expression":"∡⋰*⋻3223⋥⋵⩄⋰*⋻3A98⩒⫫(⋰*⋻12A1≭⋰*⋻1238)⨽(⊲⪭⋰*⋻2872)⇻⋧≁(⇙⪊⋰*⋻861)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":105,"operation_count":8,"complexity_ratio":13.125,"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":4260,"base":11},"right_expr":{"type":"numeric_atoms","value":5310,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1684,"base":11},"right_expr":{"type":"numeric_atoms","value":1614,"base":11}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3709,"base":11}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1035,"base":11}}}}},"used_operators":["pRsWfj4Fpp","8HhzD0ZcuI","KFSx94NKJn","7t3wd0Fuz7","rxpJgHHUmx","jCPkEVoL5K","k7HXdKtiEU","pB6Fcnrjim"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","AHs5Up7iyr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","i8ToyICDmI","xUOZtlo3hN","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4260","layer":4},{"info":"number node, value=5310","layer":4},{"info":"compute binary expreesion, left_input=4260, right_input=5310, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1614, 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=113, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=3709","layer":4},{"info":"compute unary expreesion, input=3709, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3883","layer":3},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3883, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-38324","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-38324, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"∡⋰*⋻3223⋥⋵⩄⋰*⋻3A98⩒⫫(⋰*⋻12A1≭⋰*⋻1238)⨽(⊲⪭⋰*⋻2872)⇻⋧≁(⇙⪊⋰*⋻861)=NaN","reverse_text":"NaN=∡⋰*⋻3223⋥⋵⩄⋰*⋻3A98⩒⫫(⋰*⋻12A1≭⋰*⋻1238)⨽(⊲⪭⋰*⋻2872)⇻⋧≁(⇙⪊⋰*⋻861)","cot":[{"info":"⋰*⋻3223⋥⋵⩄⋰*⋻3A98=⋰*⋻A3","layer":3},{"info":"⋰*⋻12A1≭⋰*⋻1238=NaN","layer":3},{"info":"⋰*⋻A3⩒⫫NaN=NaN","layer":2},{"info":"⊲⪭⋰*⋻2872=⋰*⋻-2A10","layer":3},{"info":"⇙⪊⋰*⋻861=⋰*⋻0","layer":3},{"info":"⋰*⋻-2A10⇻⋧≁⋰*⋻0=⋰*⋻-26880","layer":2},{"info":"NaN⨽⋰*⋻-26880=NaN","layer":1},{"info":"∡NaN=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"(($2277$≬⇓$1938$)≦≮≮)↳≱(($5691$⊹∫⫚$1386$)⊝⪿⪼($6549$⋝⋈⪟$1324$))⪒(⨂⪏⇭(⇋⊎⋝($1035$⫚⫇)))","expression":"((⋰*⋻1790≬⇓⋰*⋻1502)≦≮≮)↳≱((⋰*⋻4304⊹∫⫚⋰*⋻1050)⊝⪿⪼(⋰*⋻4A14⋝⋈⪟⋰*⋻AA4))⪒(⨂⪏⇭(⇋⊎⋝(⋰*⋻861⫚⫇)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":768,"operation_count":10,"complexity_ratio":76.8,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2277,"base":11},"right_expr":{"type":"numeric_atoms","value":1938,"base":11}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5691,"base":11},"right_expr":{"type":"numeric_atoms","value":1386,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6549,"base":11},"right_expr":{"type":"numeric_atoms","value":1324,"base":11}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":1035,"base":11}}}}},"used_operators":["f6k1SAg4EE","JwTKLfZU96","D4vGDi5EA2","jWTQ2TZYIH","3Oe9XWJUTD","uWAJUKEvyW","2DDjHMKMc0","AYdpE9sXAk","CzM2PEoXns","SdCjLnB6rR"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","dWAJyo7jo9","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2277","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=1938, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=66","layer":2},{"info":"number node, value=5691","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=5691, right_input=1386, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":3},{"info":"number node, value=6549","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=6549, right_input=1324, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6549","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6549, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9932","layer":2},{"info":"compute binary expreesion, left_input=66, right_input=9932, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=602","layer":3},{"info":"compute unary expreesion, input=602, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1790≬⇓⋰*⋻1502)≦≮≮)↳≱((⋰*⋻4304⊹∫⫚⋰*⋻1050)⊝⪿⪼(⋰*⋻4A14⋝⋈⪟⋰*⋻AA4))⪒(⨂⪏⇭(⇋⊎⋝(⋰*⋻861⫚⫇)))=NaN","reverse_text":"NaN=((⋰*⋻1790≬⇓⋰*⋻1502)≦≮≮)↳≱((⋰*⋻4304⊹∫⫚⋰*⋻1050)⊝⪿⪼(⋰*⋻4A14⋝⋈⪟⋰*⋻AA4))⪒(⨂⪏⇭(⇋⊎⋝(⋰*⋻861⫚⫇)))","cot":[{"info":"⋰*⋻1790≬⇓⋰*⋻1502=⋰*⋻-20","layer":3},{"info":"⋰*⋻-20≦≮≮=⋰*⋻60","layer":2},{"info":"⋰*⋻4304⊹∫⫚⋰*⋻1050=⋰*⋻0","layer":3},{"info":"⋰*⋻4A14⋝⋈⪟⋰*⋻AA4=⋰*⋻4A14","layer":3},{"info":"⋰*⋻0⊝⪿⪼⋰*⋻4A14=⋰*⋻750A","layer":2},{"info":"⋰*⋻60↳≱⋰*⋻750A=⋰*⋻0","layer":1},{"info":"⋰*⋻861⫚⫇=⋰*⋻4A8","layer":3},{"info":"⇋⊎⋝⋰*⋻4A8=NaN","layer":2},{"info":"⨂⪏⇭NaN=NaN","layer":1},{"info":"⋰*⋻0⪒NaN=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"($6872$⫁$1025$∝$3730$⊢$6097$)⊉↱≁((⇜⊴$1529$)⊋≦⊧$1194$⩧⪆$1199$)∙∹∝(⫡⇟⇯$5458$)⨐⩸⫘$4592$⪢$4033$∙⊟($2052$⫻⋑⊟)⊋($5589$↰)","expression":"(⋰*⋻5188⫁⋰*⋻852∝⋰*⋻2891⊢⋰*⋻4643)⊉↱≁((⇜⊴⋰*⋻1170)⊋≦⊧⋰*⋻996⩧⪆⋰*⋻9A0)∙∹∝(⫡⇟⇯⋰*⋻4112)⨐⩸⫘⋰*⋻34A5⪢⋰*⋻3037∙⊟(⋰*⋻15A6⫻⋑⊟)⊋(⋰*⋻4221↰)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":22960,"operation_count":15,"complexity_ratio":1530.6666666666667,"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":6872,"base":11},"right_expr":{"type":"numeric_atoms","value":1025,"base":11}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3730,"base":11},"right_expr":{"type":"numeric_atoms","value":6097,"base":11}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1529,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1194,"base":11},"right_expr":{"type":"numeric_atoms","value":1199,"base":11}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":5458,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4592,"base":11},"right_expr":{"type":"numeric_atoms","value":4033,"base":11}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":2052,"base":11}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":5589,"base":11}}}}},"used_operators":["HmxsFra2vL","w2P8NbNXyL","cTDWOvIxvz","0ajvFaJAv0","5twsqlHp2o","oRDoc9rAEX","XwDhCwWbUn","Ikt5ks8PT7","SxTAKzQCrw","fu6greOZ01","qWUSsah53b","dWAJyo7jo9","W4tP9CfskL","o575Zjdmzy","bl5wxAcryP"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","eewbuw0ToL","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","3ViojmjbAp","DZ8iAZOCBD","P8v4zCKN1o","k8jYdgA6NY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6872","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=6872, right_input=1025, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3730","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=6097, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7704","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-7704, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=165","layer":2},{"info":"number node, value=1529","layer":4},{"info":"compute unary expreesion, input=1529, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-347130","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=1199, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1199","layer":3},{"info":"compute binary expreesion, left_input=-347130, right_input=-1199, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=165, right_input=192, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=446","layer":1},{"info":"number node, value=5458","layer":4},{"info":"compute unary expreesion, input=5458, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=11784","layer":3},{"info":"number node, value=4592","layer":4},{"info":"number node, value=4033","layer":4},{"info":"compute binary expreesion, left_input=4592, right_input=4033, 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=11784, 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=2052","layer":4},{"info":"compute unary expreesion, input=2052, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-3594","layer":3},{"info":"number node, value=5589","layer":4},{"info":"compute unary expreesion, input=5589, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=5488","layer":3},{"info":"compute binary expreesion, left_input=-3594, right_input=5488, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-391200180","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-391200180, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=446, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5188⫁⋰*⋻852∝⋰*⋻2891⊢⋰*⋻4643)⊉↱≁((⇜⊴⋰*⋻1170)⊋≦⊧⋰*⋻996⩧⪆⋰*⋻9A0)∙∹∝(⫡⇟⇯⋰*⋻4112)⨐⩸⫘⋰*⋻34A5⪢⋰*⋻3037∙⊟(⋰*⋻15A6⫻⋑⊟)⊋(⋰*⋻4221↰)=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻5188⫁⋰*⋻852∝⋰*⋻2891⊢⋰*⋻4643)⊉↱≁((⇜⊴⋰*⋻1170)⊋≦⊧⋰*⋻996⩧⪆⋰*⋻9A0)∙∹∝(⫡⇟⇯⋰*⋻4112)⨐⩸⫘⋰*⋻34A5⪢⋰*⋻3037∙⊟(⋰*⋻15A6⫻⋑⊟)⊋(⋰*⋻4221↰)","cot":[{"info":"⋰*⋻5188⫁⋰*⋻852=⋰*⋻136","layer":3},{"info":"⋰*⋻2891⊢⋰*⋻4643=⋰*⋻-5874","layer":3},{"info":"⋰*⋻136∝⋰*⋻-5874=⋰*⋻140","layer":2},{"info":"⇜⊴⋰*⋻1170=⋰*⋻-217893","layer":3},{"info":"⋰*⋻996⩧⪆⋰*⋻9A0=⋰*⋻-9A0","layer":3},{"info":"⋰*⋻-217893⊋≦⊧⋰*⋻-9A0=⋰*⋻165","layer":2},{"info":"⋰*⋻140⊉↱≁⋰*⋻165=⋰*⋻376","layer":1},{"info":"⫡⇟⇯⋰*⋻4112=⋰*⋻8943","layer":3},{"info":"⋰*⋻34A5⪢⋰*⋻3037=NaN","layer":3},{"info":"⋰*⋻8943⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻15A6⫻⋑⊟=⋰*⋻-2778","layer":3},{"info":"⋰*⋻4221↰=⋰*⋻413A","layer":3},{"info":"⋰*⋻-2778⊋⋰*⋻413A=⋰*⋻-190905538","layer":2},{"info":"NaN∙⊟⋰*⋻-190905538=NaN","layer":1},{"info":"⋰*⋻376∙∹∝NaN=⋰*⋻0","layer":0}]}
{"id":14,"expression_no_base_symbol":"(($1154$⩘)⪶≀⋏($2134$⋖∅⋲)⪕(↨(⊈$1765$)))≴⪞⇿(($2676$⪛$1469$)⊴($1697$⋆⋳))⫞⩸⩒($1194$⪡$1859$⨔≚≋$3622$⨚$5833$)","expression":"((⋰*⋻95A⩘)⪶≀⋏(⋰*⋻1670⋖∅⋲)⪕(↨(⊈⋰*⋻1365)))≴⪞⇿((⋰*⋻2013⪛⋰*⋻1116)⊴(⋰*⋻1303⋆⋳))⫞⩸⩒(⋰*⋻996⪡⋰*⋻1440⨔≚≋⋰*⋻27A3⨚⋰*⋻4423)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4600,"operation_count":14,"complexity_ratio":328.57142857142856,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1154,"base":11}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":2134,"base":11}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1765,"base":11}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2676,"base":11},"right_expr":{"type":"numeric_atoms","value":1469,"base":11}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1697,"base":11}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1194,"base":11},"right_expr":{"type":"numeric_atoms","value":1859,"base":11}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3622,"base":11},"right_expr":{"type":"numeric_atoms","value":5833,"base":11}}}}},"used_operators":["lvlrscuwVU","umQnsF7QlU","zR4jO40bMj","wvHyciQT5X","L95AwlJzhO","jiX4gk2v2Q","RHru8klgy8","XGcMNugi78","Nsiff2A1zJ","uFcxV4UQCh","6MpZysEj17","Z57zeUYC9z","oraRL2iQuh","nREPSIbpBE"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9ICcGScMcE","dfKe02y8D2","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rGHVDoGpnC","oZj3VtZNQx","12rbrZMWeM","xUOZtlo3hN","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","BjRHVeLaeN","12rbrZMWeM"],"result":"⋰*⋻549770","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=2134","layer":4},{"info":"compute unary expreesion, input=2134, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-384231, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-3073848","layer":2},{"info":"number node, value=1765","layer":4},{"info":"compute unary expreesion, input=1765, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1939","layer":3},{"info":"compute unary expreesion, input=-1939, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3073848, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"number node, value=2676","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=1469, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1207","layer":3},{"info":"number node, value=1697","layer":4},{"info":"compute unary expreesion, input=1697, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-3426","layer":3},{"info":"compute binary expreesion, left_input=1207, right_input=-3426, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1194","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=1859, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3622","layer":4},{"info":"number node, value=5833","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=5833, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-15154","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-15154, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=876722","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻95A⩘)⪶≀⋏(⋰*⋻1670⋖∅⋲)⪕(↨(⊈⋰*⋻1365)))≴⪞⇿((⋰*⋻2013⪛⋰*⋻1116)⊴(⋰*⋻1303⋆⋳))⫞⩸⩒(⋰*⋻996⪡⋰*⋻1440⨔≚≋⋰*⋻27A3⨚⋰*⋻4423)=⋰*⋻549770","reverse_text":"⋰*⋻549770=((⋰*⋻95A⩘)⪶≀⋏(⋰*⋻1670⋖∅⋲)⪕(↨(⊈⋰*⋻1365)))≴⪞⇿((⋰*⋻2013⪛⋰*⋻1116)⊴(⋰*⋻1303⋆⋳))⫞⩸⩒(⋰*⋻996⪡⋰*⋻1440⨔≚≋⋰*⋻27A3⨚⋰*⋻4423)","cot":[{"info":"⋰*⋻95A⩘=⋰*⋻61","layer":3},{"info":"⋰*⋻1670⋖∅⋲=⋰*⋻-242751","layer":3},{"info":"⋰*⋻61⪶≀⋏⋰*⋻-242751=⋰*⋻-180A478","layer":2},{"info":"⊈⋰*⋻1365=⋰*⋻-1503","layer":3},{"info":"↨⋰*⋻-1503=NaN","layer":2},{"info":"⋰*⋻-180A478⪕NaN=⋰*⋻780","layer":1},{"info":"⋰*⋻2013⪛⋰*⋻1116=⋰*⋻9A8","layer":3},{"info":"⋰*⋻1303⋆⋳=⋰*⋻-2635","layer":3},{"info":"⋰*⋻9A8⊴⋰*⋻-2635=NaN","layer":2},{"info":"⋰*⋻996⪡⋰*⋻1440=⋰*⋻98","layer":3},{"info":"⋰*⋻27A3⨚⋰*⋻4423=⋰*⋻-10427","layer":3},{"info":"⋰*⋻98⨔≚≋⋰*⋻-10427=⋰*⋻7465","layer":2},{"info":"NaN⫞⩸⩒⋰*⋻7465=NaN","layer":1},{"info":"⋰*⋻780≴⪞⇿NaN=⋰*⋻549770","layer":0}]}
{"id":15,"expression_no_base_symbol":"(⩎⋉($5684$⪨⊡$6746$)⪬($1080$⨔⇊$2337$))⊜","expression":"(⩎⋉(⋰*⋻42A8⪨⊡⋰*⋻5083)⪬(⋰*⋻8A2⨔⇊⋰*⋻1835))⊜","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":667,"operation_count":5,"complexity_ratio":133.4,"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":5684,"base":11},"right_expr":{"type":"numeric_atoms","value":6746,"base":11}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1080,"base":11},"right_expr":{"type":"numeric_atoms","value":2337,"base":11}}}}},"used_operators":["Eev2Q7dYIw","FlXk3pOYe8","Ez1Nq5fNfI","kuIXHzHcAH","JclMnS0uGI"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⋰*⋻-3722","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5684","layer":4},{"info":"number node, value=6746","layer":4},{"info":"compute binary expreesion, left_input=5684, right_input=6746, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=2337, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2337","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2337, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":1},{"info":"compute unary expreesion, input=1650, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-4864","layer":0}],"base":11,"result_base":11,"text":"(⩎⋉(⋰*⋻42A8⪨⊡⋰*⋻5083)⪬(⋰*⋻8A2⨔⇊⋰*⋻1835))⊜=⋰*⋻-3722","reverse_text":"⋰*⋻-3722=(⩎⋉(⋰*⋻42A8⪨⊡⋰*⋻5083)⪬(⋰*⋻8A2⨔⇊⋰*⋻1835))⊜","cot":[{"info":"⋰*⋻42A8⪨⊡⋰*⋻5083=⋰*⋻0","layer":3},{"info":"⋰*⋻8A2⨔⇊⋰*⋻1835=⋰*⋻1835","layer":3},{"info":"⋰*⋻0⪬⋰*⋻1835=⋰*⋻A22","layer":2},{"info":"⩎⋉⋰*⋻A22=⋰*⋻1270","layer":1},{"info":"⋰*⋻1270⊜=⋰*⋻-3722","layer":0}]}
{"id":16,"expression_no_base_symbol":"≤/(⫎≠⋺((⋠∜$1042$)⨟⋌⩍(⊿$1608$)))","expression":"≤/(⫎≠⋺((⋠∜⋰*⋻868)⨟⋌⩍(⊿⋰*⋻1232)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":60,"operation_count":5,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1042,"base":11}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1608,"base":11}}}}},"used_operators":["eLAdDNolq6","LYeZOJ0nQG","rGHVDoGpnC","ZJpFhNJr3x","DO4fhlbJSI"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","Tcnh7f0tEr","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=6452","layer":3},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-7170","layer":3},{"info":"compute binary expreesion, left_input=6452, right_input=-7170, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≤/(⫎≠⋺((⋠∜⋰*⋻868)⨟⋌⩍(⊿⋰*⋻1232)))=NaN","reverse_text":"NaN=≤/(⫎≠⋺((⋠∜⋰*⋻868)⨟⋌⩍(⊿⋰*⋻1232)))","cot":[{"info":"⋠∜⋰*⋻868=⋰*⋻4936","layer":3},{"info":"⊿⋰*⋻1232=⋰*⋻-5429","layer":3},{"info":"⋰*⋻4936⨟⋌⩍⋰*⋻-5429=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"∑⇻≧($1712$⪔⊥$1425$↼⊘⨖($1445$⫲⨊))∓⋝(($3555$≄⊠$1826$)⊬⨰$1055$≴⪞⇿$2555$)","expression":"∑⇻≧(⋰*⋻1317⪔⊥⋰*⋻1086↼⊘⨖(⋰*⋻10A4⫲⨊))∓⋝((⋰*⋻2742≄⊠⋰*⋻1410)⊬⨰⋰*⋻87A≴⪞⇿⋰*⋻1A13)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":972,"operation_count":8,"complexity_ratio":121.5,"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":1712,"base":11},"right_expr":{"type":"numeric_atoms","value":1425,"base":11}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1445,"base":11}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3555,"base":11},"right_expr":{"type":"numeric_atoms","value":1826,"base":11}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1055,"base":11},"right_expr":{"type":"numeric_atoms","value":2555,"base":11}}}}},"used_operators":["l1M9WJ3V7u","PoHhknlbAi","bPywburJMS","HJ9erzHUuu","CArV6hThFE","s3Fd5m9Dh2","vXNesLlMH1","lvlrscuwVU"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"⋰*⋻-705","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1425, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3799","layer":3},{"info":"number node, value=1445","layer":4},{"info":"compute unary expreesion, input=1445, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=8008","layer":3},{"info":"compute binary expreesion, left_input=3799, right_input=8008, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=15794","layer":2},{"info":"number node, value=3555","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=1826, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=33884","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=2555, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1223282","layer":3},{"info":"compute binary expreesion, left_input=33884, right_input=1223282, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4925956","layer":2},{"info":"compute binary expreesion, left_input=15794, right_input=4925956, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":11,"result_base":11,"text":"∑⇻≧(⋰*⋻1317⪔⊥⋰*⋻1086↼⊘⨖(⋰*⋻10A4⫲⨊))∓⋝((⋰*⋻2742≄⊠⋰*⋻1410)⊬⨰⋰*⋻87A≴⪞⇿⋰*⋻1A13)=⋰*⋻-705","reverse_text":"⋰*⋻-705=∑⇻≧(⋰*⋻1317⪔⊥⋰*⋻1086↼⊘⨖(⋰*⋻10A4⫲⨊))∓⋝((⋰*⋻2742≄⊠⋰*⋻1410)⊬⨰⋰*⋻87A≴⪞⇿⋰*⋻1A13)","cot":[{"info":"⋰*⋻1317⪔⊥⋰*⋻1086=⋰*⋻2944","layer":3},{"info":"⋰*⋻10A4⫲⨊=⋰*⋻6020","layer":3},{"info":"⋰*⋻2944↼⊘⨖⋰*⋻6020=⋰*⋻10959","layer":2},{"info":"⋰*⋻2742≄⊠⋰*⋻1410=⋰*⋻23504","layer":3},{"info":"⋰*⋻87A≴⪞⇿⋰*⋻1A13=⋰*⋻766085","layer":3},{"info":"⋰*⋻23504⊬⨰⋰*⋻766085=⋰*⋻2864A42","layer":2},{"info":"⋰*⋻10959∓⋝⋰*⋻2864A42=⋰*⋻61","layer":1},{"info":"∑⇻≧⋰*⋻61=⋰*⋻-705","layer":0}]}
{"id":18,"expression_no_base_symbol":"($1285$⇄$1008$⪨≂(⊀$1960$))∴($4697$≭$2126$≣⋋)⋥⋵⩄($5176$⊉≛↸$7948$*($1086$⋫))⨥⫆(⨵≀≌$2269$↬$7358$)","expression":"(⋰*⋻A69⇄⋰*⋻837⪨≂(⊀⋰*⋻1522))∴(⋰*⋻3590≭⋰*⋻1663≣⋋)⋥⋵⩄(⋰*⋻3986⊉≛↸⋰*⋻5A76*(⋰*⋻8A8⋫))⨥⫆(⨵≀≌⋰*⋻1783↬⋰*⋻558A)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2261,"operation_count":13,"complexity_ratio":173.92307692307693,"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":1285,"base":11},"right_expr":{"type":"numeric_atoms","value":1008,"base":11}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1960,"base":11}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4697,"base":11},"right_expr":{"type":"numeric_atoms","value":2126,"base":11}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5176,"base":11},"right_expr":{"type":"numeric_atoms","value":7948,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1086,"base":11}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2269,"base":11},"right_expr":{"type":"numeric_atoms","value":7358,"base":11}}}}},"used_operators":["7t3wd0Fuz7","hrf7POJlIJ","sdazOOVcIp","3EYGwJThht","oPMjh9089D","Tcnh7f0tEr","rxpJgHHUmx","yXekIHxTD4","9HNa5Wba9A","DZ8iAZOCBD","JL8yIekQnl","srAu1WTS94","B5M0gjZbta"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1285","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=1008, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=7578","layer":3},{"info":"compute binary expreesion, left_input=0, 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=-15054","layer":2},{"info":"number node, value=4697","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=4697, right_input=2126, 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 = 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=-15054, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-28460","layer":1},{"info":"number node, value=5176","layer":4},{"info":"number node, value=7948","layer":4},{"info":"compute binary expreesion, left_input=5176, right_input=7948, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10352","layer":3},{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1086","layer":3},{"info":"compute binary expreesion, left_input=10352, right_input=1086, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11242272","layer":2},{"info":"number node, value=2269","layer":4},{"info":"number node, value=7358","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=7358, 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 = 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=11242272, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-28460, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A69⇄⋰*⋻837⪨≂(⊀⋰*⋻1522))∴(⋰*⋻3590≭⋰*⋻1663≣⋋)⋥⋵⩄(⋰*⋻3986⊉≛↸⋰*⋻5A76*(⋰*⋻8A8⋫))⨥⫆(⨵≀≌⋰*⋻1783↬⋰*⋻558A)=NaN","reverse_text":"NaN=(⋰*⋻A69⇄⋰*⋻837⪨≂(⊀⋰*⋻1522))∴(⋰*⋻3590≭⋰*⋻1663≣⋋)⋥⋵⩄(⋰*⋻3986⊉≛↸⋰*⋻5A76*(⋰*⋻8A8⋫))⨥⫆(⨵≀≌⋰*⋻1783↬⋰*⋻558A)","cot":[{"info":"⋰*⋻A69⇄⋰*⋻837=⋰*⋻0","layer":3},{"info":"⊀⋰*⋻1522=⋰*⋻576A","layer":3},{"info":"⋰*⋻0⪨≂⋰*⋻576A=⋰*⋻-10346","layer":2},{"info":"⋰*⋻3590≭⋰*⋻1663=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⋰*⋻-10346∴NaN=⋰*⋻-1A423","layer":1},{"info":"⋰*⋻3986⊉≛↸⋰*⋻5A76=⋰*⋻7861","layer":3},{"info":"⋰*⋻8A8⋫=⋰*⋻8A8","layer":3},{"info":"⋰*⋻7861*⋰*⋻8A8=⋰*⋻6389538","layer":2},{"info":"⋰*⋻1783↬⋰*⋻558A=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⋰*⋻6389538⨥⫆NaN=NaN","layer":1},{"info":"⋰*⋻-1A423⋥⋵⩄NaN=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"≸(($3433$↱$3418$)⪛($1802$⫑%∭)⫥∨⫟(($4196$⫲⨊)%$2415$⩁⩘$2466$))","expression":"≸((⋰*⋻2641↱⋰*⋻2628)⪛(⋰*⋻1399⫑%∭)⫥∨⫟((⋰*⋻3175⫲⨊)%⋰*⋻18A6⩁⩘⋰*⋻1942))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1284,"operation_count":8,"complexity_ratio":160.5,"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":3433,"base":11},"right_expr":{"type":"numeric_atoms","value":3418,"base":11}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1802,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":4196,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2415,"base":11},"right_expr":{"type":"numeric_atoms","value":2466,"base":11}}}}},"used_operators":["eOf03JbCpp","KYD54nUTWz","uFcxV4UQCh","SR5kFfdi6N","xUx7qlDO4z","k8jYdgA6NY","CArV6hThFE","gub5Cegaqo"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","rysDP5nf3Z","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3433","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=3433, right_input=3418, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-9732","layer":3},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9732, 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=4196","layer":4},{"info":"compute unary expreesion, input=4196, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=21763","layer":3},{"info":"number node, value=2415","layer":4},{"info":"number node, value=2466","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=2466, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10812","layer":3},{"info":"compute binary expreesion, left_input=21763, right_input=10812, op_id = k8jYdgA6NY binary_op_definition= 'None', output=139","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=139, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≸((⋰*⋻2641↱⋰*⋻2628)⪛(⋰*⋻1399⫑%∭)⫥∨⫟((⋰*⋻3175⫲⨊)%⋰*⋻18A6⩁⩘⋰*⋻1942))=NaN","reverse_text":"NaN=≸((⋰*⋻2641↱⋰*⋻2628)⪛(⋰*⋻1399⫑%∭)⫥∨⫟((⋰*⋻3175⫲⨊)%⋰*⋻18A6⩁⩘⋰*⋻1942))","cot":[{"info":"⋰*⋻2641↱⋰*⋻2628=⋰*⋻-7348","layer":3},{"info":"⋰*⋻1399⫑%∭=NaN","layer":3},{"info":"⋰*⋻-7348⪛NaN=NaN","layer":2},{"info":"⋰*⋻3175⫲⨊=⋰*⋻15395","layer":3},{"info":"⋰*⋻18A6⩁⩘⋰*⋻1942=⋰*⋻813A","layer":3},{"info":"⋰*⋻15395%⋰*⋻813A=⋰*⋻117","layer":2},{"info":"NaN⫥∨⫟⋰*⋻117=NaN","layer":1},{"info":"≸NaN=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"(⊢≑≆($2738$⩚⊴⇥$4334$≬⇓($1955$∠⫱$2681$)))≄⊠(≔((≑⋹$3131$)⨽($1233$⋷$1245$)))","expression":"(⊢≑≆(⋰*⋻206A⩚⊴⇥⋰*⋻3290≬⇓(⋰*⋻1518∠⫱⋰*⋻2018)))≄⊠(≔((≑⋹⋰*⋻2397)⨽(⋰*⋻A21⋷⋰*⋻A32)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23632,"operation_count":9,"complexity_ratio":2625.777777777778,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2738,"base":11},"right_expr":{"type":"numeric_atoms","value":4334,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1955,"base":11},"right_expr":{"type":"numeric_atoms","value":2681,"base":11}}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3131,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1233,"base":11},"right_expr":{"type":"numeric_atoms","value":1245,"base":11}}}}},"used_operators":["vXNesLlMH1","27wFxooxGf","jWTQ2TZYIH","NTOWxs364D","QvoQhV0rrE","8FLs4eVsLt","8HhzD0ZcuI","6B9nyZLogK","23Mk6UjR3U"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2738","layer":4},{"info":"number node, value=4334","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=4334, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7193","layer":3},{"info":"number node, value=1955","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=2681, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-7193, right_input=1234, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=518227300","layer":2},{"info":"compute unary expreesion, input=518227300, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=2072909652","layer":1},{"info":"number node, value=3131","layer":4},{"info":"compute unary expreesion, input=3131, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=1245, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1257","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=1257, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8169957","layer":2},{"info":"compute unary expreesion, input=-8169957, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=228760090","layer":1},{"info":"compute binary expreesion, left_input=2072909652, right_input=228760090, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=inf","layer":0}],"base":11,"result_base":11,"text":"(⊢≑≆(⋰*⋻206A⩚⊴⇥⋰*⋻3290≬⇓(⋰*⋻1518∠⫱⋰*⋻2018)))≄⊠(≔((≑⋹⋰*⋻2397)⨽(⋰*⋻A21⋷⋰*⋻A32)))=Inf","reverse_text":"Inf=(⊢≑≆(⋰*⋻206A⩚⊴⇥⋰*⋻3290≬⇓(⋰*⋻1518∠⫱⋰*⋻2018)))≄⊠(≔((≑⋹⋰*⋻2397)⨽(⋰*⋻A21⋷⋰*⋻A32)))","cot":[{"info":"⋰*⋻206A⩚⊴⇥⋰*⋻3290=⋰*⋻-544A","layer":3},{"info":"⋰*⋻1518∠⫱⋰*⋻2018=⋰*⋻A22","layer":3},{"info":"⋰*⋻-544A≬⇓⋰*⋻A22=⋰*⋻246586928","layer":2},{"info":"⊢≑≆⋰*⋻246586928=⋰*⋻974115780","layer":1},{"info":"≑⋹⋰*⋻2397=⋰*⋻1270","layer":3},{"info":"⋰*⋻A21⋷⋰*⋻A32=⋰*⋻A43","layer":3},{"info":"⋰*⋻1270⨽⋰*⋻A43=⋰*⋻-4680234","layer":2},{"info":"≔⋰*⋻-4680234=⋰*⋻108146929","layer":1},{"info":"⋰*⋻974115780≄⊠⋰*⋻108146929=Inf","layer":0}]}
{"id":21,"expression_no_base_symbol":"((∤↝(⊁⨺$1013$))⊍⩺⋍$1073$⊕∕$1368$⊉↱≁($2963$≓∲$1517$))⇮⋭(⫓⪴$1213$)∳⫺($3068$∠⫱$3090$)⋳⪒(⪹$1168$⪝$3364$)","expression":"((∤↝(⊁⨺⋰*⋻841))⊍⩺⋍⋰*⋻896⊕∕⋰*⋻1034⊉↱≁(⋰*⋻2254≓∲⋰*⋻115A))⇮⋭(⫓⪴⋰*⋻A03)∳⫺(⋰*⋻233A∠⫱⋰*⋻235A)⋳⪒(⪹⋰*⋻972⪝⋰*⋻2589)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2052,"operation_count":13,"complexity_ratio":157.84615384615384,"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":1013,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1073,"base":11},"right_expr":{"type":"numeric_atoms","value":1368,"base":11}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2963,"base":11},"right_expr":{"type":"numeric_atoms","value":1517,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1213,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3068,"base":11},"right_expr":{"type":"numeric_atoms","value":3090,"base":11}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1168,"base":11},"right_expr":{"type":"numeric_atoms","value":3364,"base":11}}}}},"used_operators":["vkpjKywKVM","OXDGMFPWZM","3UMq87Qwqg","PxiHyQbrIp","w2P8NbNXyL","9cloC0Ngie","s1XTVnmDOJ","12rbrZMWeM","AzXXKTstlj","eLxqMNBOBk","QvoQhV0rrE","USyYr0JgAa","wicAB68Tmb"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9HNa5Wba9A","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","tifHPKVTfV","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=160","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1368, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1073","layer":3},{"info":"number node, value=2963","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=1517, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=30413","layer":3},{"info":"compute binary expreesion, left_input=1073, right_input=30413, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-172862","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-172862, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1471369","layer":3},{"info":"number node, value=3068","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=3068, right_input=3090, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1471369, right_input=1234, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1168","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=3364, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-57","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-57, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-750","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-750, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":11,"result_base":11,"text":"((∤↝(⊁⨺⋰*⋻841))⊍⩺⋍⋰*⋻896⊕∕⋰*⋻1034⊉↱≁(⋰*⋻2254≓∲⋰*⋻115A))⇮⋭(⫓⪴⋰*⋻A03)∳⫺(⋰*⋻233A∠⫱⋰*⋻235A)⋳⪒(⪹⋰*⋻972⪝⋰*⋻2589)=⋰*⋻61","reverse_text":"⋰*⋻61=((∤↝(⊁⨺⋰*⋻841))⊍⩺⋍⋰*⋻896⊕∕⋰*⋻1034⊉↱≁(⋰*⋻2254≓∲⋰*⋻115A))⇮⋭(⫓⪴⋰*⋻A03)∳⫺(⋰*⋻233A∠⫱⋰*⋻235A)⋳⪒(⪹⋰*⋻972⪝⋰*⋻2589)","cot":[{"info":"⊁⨺⋰*⋻841=⋰*⋻136","layer":3},{"info":"∤↝⋰*⋻136=⋰*⋻136","layer":2},{"info":"⋰*⋻896⊕∕⋰*⋻1034=⋰*⋻896","layer":3},{"info":"⋰*⋻2254≓∲⋰*⋻115A=⋰*⋻20939","layer":3},{"info":"⋰*⋻896⊉↱≁⋰*⋻20939=⋰*⋻-108968","layer":2},{"info":"⋰*⋻136⊍⩺⋍⋰*⋻-108968=NaN","layer":1},{"info":"⫓⪴⋰*⋻A03=⋰*⋻915509","layer":3},{"info":"⋰*⋻233A∠⫱⋰*⋻235A=⋰*⋻A22","layer":3},{"info":"⋰*⋻915509∳⫺⋰*⋻A22=⋰*⋻-217","layer":2},{"info":"⋰*⋻972⪝⋰*⋻2589=⋰*⋻1A6","layer":3},{"info":"⪹⋰*⋻1A6=⋰*⋻-52","layer":2},{"info":"⋰*⋻-217⋳⪒⋰*⋻-52=⋰*⋻-622","layer":1},{"info":"NaN⇮⋭⋰*⋻-622=⋰*⋻61","layer":0}]}
{"id":22,"expression_no_base_symbol":"((-$9380$)⩇∃⫛$1589$⋣⋖$4586$)≁↽≥($7527$⩚⊴⇥$2926$≬⋮($5125$⩉⊫⨁))≄⊠(($3518$⫡⨏$5040$⋷$4957$⪝$3010$)⋝⋈⪟(∂$4651$⊲⩕⊾$1133$))","expression":"((-⋰*⋻7058)⩇∃⫛⋰*⋻1215⋣⋖⋰*⋻349A)≁↽≥(⋰*⋻5723⩚⊴⇥⋰*⋻2220≬⋮(⋰*⋻393A⩉⊫⨁))≄⊠((⋰*⋻2709⫡⨏⋰*⋻3872⋷⋰*⋻37A7⪝⋰*⋻2297)⋝⋈⪟(∂⋰*⋻3549⊲⩕⊾⋰*⋻940))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1009,"operation_count":14,"complexity_ratio":72.07142857142857,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":9380,"base":11}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1589,"base":11},"right_expr":{"type":"numeric_atoms","value":4586,"base":11}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7527,"base":11},"right_expr":{"type":"numeric_atoms","value":2926,"base":11}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":5125,"base":11}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3518,"base":11},"right_expr":{"type":"numeric_atoms","value":5040,"base":11}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4957,"base":11},"right_expr":{"type":"numeric_atoms","value":3010,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4651,"base":11},"right_expr":{"type":"numeric_atoms","value":1133,"base":11}}}}},"used_operators":["vXNesLlMH1","ncHt1X6cMc","1aApVXNlOP","t8gj7n24qd","J0M6qkBnIM","kbkesczE7y","NTOWxs364D","7qqUquhhSb","2DDjHMKMc0","23Mk6UjR3U","QMFrweE19q","wicAB68Tmb","Uaa54Peajs","DmTXOeWf9t"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⋰*⋻1144","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9380","layer":4},{"info":"compute unary expreesion, input=9380, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-9380","layer":3},{"info":"number node, value=1589","layer":4},{"info":"number node, value=4586","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=4586, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1589","layer":3},{"info":"compute binary expreesion, left_input=-9380, right_input=1589, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-9380","layer":2},{"info":"number node, value=7527","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=7527, right_input=2926, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10574","layer":3},{"info":"number node, value=5125","layer":4},{"info":"compute unary expreesion, input=5125, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=5125","layer":3},{"info":"compute binary expreesion, left_input=-10574, right_input=5125, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-9380, right_input=868, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-130768","layer":1},{"info":"number node, value=3518","layer":4},{"info":"number node, value=5040","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=5040, 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=28453","layer":3},{"info":"number node, value=4957","layer":4},{"info":"number node, value=3010","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=3010, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-8187","layer":3},{"info":"compute binary expreesion, left_input=28453, right_input=-8187, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-44827","layer":2},{"info":"number node, value=4651","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=4651, right_input=1133, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-82376","layer":3},{"info":"compute unary expreesion, input=-82376, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=82112","layer":2},{"info":"compute binary expreesion, left_input=-44827, right_input=82112, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-44827","layer":1},{"info":"compute binary expreesion, left_input=-130768, right_input=-44827, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":11,"result_base":11,"text":"((-⋰*⋻7058)⩇∃⫛⋰*⋻1215⋣⋖⋰*⋻349A)≁↽≥(⋰*⋻5723⩚⊴⇥⋰*⋻2220≬⋮(⋰*⋻393A⩉⊫⨁))≄⊠((⋰*⋻2709⫡⨏⋰*⋻3872⋷⋰*⋻37A7⪝⋰*⋻2297)⋝⋈⪟(∂⋰*⋻3549⊲⩕⊾⋰*⋻940))=⋰*⋻1144","reverse_text":"⋰*⋻1144=((-⋰*⋻7058)⩇∃⫛⋰*⋻1215⋣⋖⋰*⋻349A)≁↽≥(⋰*⋻5723⩚⊴⇥⋰*⋻2220≬⋮(⋰*⋻393A⩉⊫⨁))≄⊠((⋰*⋻2709⫡⨏⋰*⋻3872⋷⋰*⋻37A7⪝⋰*⋻2297)⋝⋈⪟(∂⋰*⋻3549⊲⩕⊾⋰*⋻940))","cot":[{"info":"-⋰*⋻7058=⋰*⋻-7058","layer":3},{"info":"⋰*⋻1215⋣⋖⋰*⋻349A=⋰*⋻1215","layer":3},{"info":"⋰*⋻-7058⩇∃⫛⋰*⋻1215=⋰*⋻-7058","layer":2},{"info":"⋰*⋻5723⩚⊴⇥⋰*⋻2220=⋰*⋻-7A43","layer":3},{"info":"⋰*⋻393A⩉⊫⨁=⋰*⋻393A","layer":3},{"info":"⋰*⋻-7A43≬⋮⋰*⋻393A=⋰*⋻71A","layer":2},{"info":"⋰*⋻-7058≁↽≥⋰*⋻71A=⋰*⋻-8A280","layer":1},{"info":"⋰*⋻2709⫡⨏⋰*⋻3872=⋰*⋻1A417","layer":3},{"info":"⋰*⋻37A7⪝⋰*⋻2297=⋰*⋻-6173","layer":3},{"info":"⋰*⋻1A417⋷⋰*⋻-6173=⋰*⋻-30752","layer":2},{"info":"⋰*⋻3549⊲⩕⊾⋰*⋻940=⋰*⋻-56988","layer":3},{"info":"∂⋰*⋻-56988=⋰*⋻56768","layer":2},{"info":"⋰*⋻-30752⋝⋈⪟⋰*⋻56768=⋰*⋻-30752","layer":1},{"info":"⋰*⋻-8A280≄⊠⋰*⋻-30752=⋰*⋻1144","layer":0}]}
{"id":23,"expression_no_base_symbol":"(⫎≠⋺($3826$⪣⫩))⨚($3573$⇡⇂$1895$⪇≇⋚$1861$⨫⇇↔$2720$)⊝⪿⪼($2875$⩼⇪↪$1069$∽$3884$⊾⪯⋞$1139$)∌(⊬↢($4845$↳∿⪆$2600$))","expression":"(⫎≠⋺(⋰*⋻2969⪣⫩))⨚(⋰*⋻2759⇡⇂⋰*⋻1473⪇≇⋚⋰*⋻1442⨫⇇↔⋰*⋻2053)⊝⪿⪼(⋰*⋻2184⩼⇪↪⋰*⋻892∽⋰*⋻2A11⊾⪯⋞⋰*⋻946)∌(⊬↢(⋰*⋻3705↳∿⪆⋰*⋻1A54))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11753,"operation_count":13,"complexity_ratio":904.0769230769231,"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":3826,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3573,"base":11},"right_expr":{"type":"numeric_atoms","value":1895,"base":11}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1861,"base":11},"right_expr":{"type":"numeric_atoms","value":2720,"base":11}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2875,"base":11},"right_expr":{"type":"numeric_atoms","value":1069,"base":11}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3884,"base":11},"right_expr":{"type":"numeric_atoms","value":1139,"base":11}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4845,"base":11},"right_expr":{"type":"numeric_atoms","value":2600,"base":11}}}}},"used_operators":["3Oe9XWJUTD","nREPSIbpBE","LYeZOJ0nQG","iuk5sVOGFA","3sJ7IOPOlU","UMwdvZNt44","LXhwmt4mBO","8cLx32lpNA","y4ImoPnbV5","ocnLzx9CaJ","HK0tfVPux8","WPoGxAaPR1","Cw4SuJJGHO"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3826","layer":4},{"info":"compute unary expreesion, input=3826, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=11445","layer":3},{"info":"compute unary expreesion, input=11445, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":2},{"info":"number node, value=3573","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=3573, right_input=1895, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=2720, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=2875","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=1069, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2516","layer":3},{"info":"number node, value=3884","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=1139, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1852","layer":3},{"info":"compute binary expreesion, left_input=-2516, right_input=1852, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=7202","layer":2},{"info":"number node, value=4845","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=4845, right_input=2600, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7202, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫎≠⋺(⋰*⋻2969⪣⫩))⨚(⋰*⋻2759⇡⇂⋰*⋻1473⪇≇⋚⋰*⋻1442⨫⇇↔⋰*⋻2053)⊝⪿⪼(⋰*⋻2184⩼⇪↪⋰*⋻892∽⋰*⋻2A11⊾⪯⋞⋰*⋻946)∌(⊬↢(⋰*⋻3705↳∿⪆⋰*⋻1A54))=NaN","reverse_text":"NaN=(⫎≠⋺(⋰*⋻2969⪣⫩))⨚(⋰*⋻2759⇡⇂⋰*⋻1473⪇≇⋚⋰*⋻1442⨫⇇↔⋰*⋻2053)⊝⪿⪼(⋰*⋻2184⩼⇪↪⋰*⋻892∽⋰*⋻2A11⊾⪯⋞⋰*⋻946)∌(⊬↢(⋰*⋻3705↳∿⪆⋰*⋻1A54))","cot":[{"info":"⋰*⋻2969⪣⫩=⋰*⋻8665","layer":3},{"info":"⫎≠⋺⋰*⋻8665=⋰*⋻0","layer":2},{"info":"⋰*⋻2759⇡⇂⋰*⋻1473=NaN","layer":3},{"info":"⋰*⋻1442⨫⇇↔⋰*⋻2053=⋰*⋻-43A","layer":3},{"info":"NaN⪇≇⋚⋰*⋻-43A=NaN","layer":2},{"info":"⋰*⋻0⨚NaN=NaN","layer":1},{"info":"⋰*⋻2184⩼⇪↪⋰*⋻892=⋰*⋻-1988","layer":3},{"info":"⋰*⋻2A11⊾⪯⋞⋰*⋻946=⋰*⋻1434","layer":3},{"info":"⋰*⋻-1988∽⋰*⋻1434=⋰*⋻5458","layer":2},{"info":"⋰*⋻3705↳∿⪆⋰*⋻1A54=NaN","layer":3},{"info":"⊬↢NaN=NaN","layer":2},{"info":"⋰*⋻5458∌NaN=NaN","layer":1},{"info":"NaN⊝⪿⪼NaN=NaN","layer":0}]}
{"id":24,"expression_no_base_symbol":"(⪹$1017$⨂≜$2050$)⇂≾⫗($7154$≠≀$2385$≋⫹)⨸((($2132$⩱)⪁($3385$⨘⋶⪀))⫸⊐$4349$⪚$1361$≀⫉$2374$⫣⪄⊒$3078$)","expression":"(⪹⋰*⋻845⨂≜⋰*⋻15A4)⇂≾⫗(⋰*⋻5414≠≀⋰*⋻1879≋⫹)⨸(((⋰*⋻1669⩱)⪁(⋰*⋻25A8⨘⋶⪀))⫸⊐⋰*⋻32A4⪚⋰*⋻1028≀⫉⋰*⋻1869⫣⪄⊒⋰*⋻2349)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14617,"operation_count":13,"complexity_ratio":1124.3846153846155,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1017,"base":11},"right_expr":{"type":"numeric_atoms","value":2050,"base":11}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":7154,"base":11},"right_expr":{"type":"numeric_atoms","value":2385,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":2132,"base":11}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":3385,"base":11}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4349,"base":11},"right_expr":{"type":"numeric_atoms","value":1361,"base":11}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2374,"base":11},"right_expr":{"type":"numeric_atoms","value":3078,"base":11}}}}},"used_operators":["KmoU8R5UQR","aBQ6xLxuTc","USyYr0JgAa","k1SHOSEABc","N41Kp7NANJ","IwW236VD4Y","mqXw5SEYmG","I7sXao9hZE","uyq1hVkAcj","XVKwrhznBb","oZj3VtZNQx","HrjLwUk87U","RabNbG55vr"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","tifHPKVTfV","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=2050, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":2},{"info":"number node, value=7154","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=7154, right_input=2385, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-14002","layer":3},{"info":"compute unary expreesion, input=-14002, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=28004","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=28004, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"number node, value=2132","layer":4},{"info":"compute unary expreesion, input=2132, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-13042","layer":3},{"info":"number node, value=3385","layer":4},{"info":"compute unary expreesion, input=3385, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13042, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=4349","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=4349, right_input=1361, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=5620","layer":3},{"info":"number node, value=2374","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=3078, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14232","layer":3},{"info":"compute binary expreesion, left_input=5620, right_input=-14232, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = 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 = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪹⋰*⋻845⨂≜⋰*⋻15A4)⇂≾⫗(⋰*⋻5414≠≀⋰*⋻1879≋⫹)⨸(((⋰*⋻1669⩱)⪁(⋰*⋻25A8⨘⋶⪀))⫸⊐⋰*⋻32A4⪚⋰*⋻1028≀⫉⋰*⋻1869⫣⪄⊒⋰*⋻2349)=NaN","reverse_text":"NaN=(⪹⋰*⋻845⨂≜⋰*⋻15A4)⇂≾⫗(⋰*⋻5414≠≀⋰*⋻1879≋⫹)⨸(((⋰*⋻1669⩱)⪁(⋰*⋻25A8⨘⋶⪀))⫸⊐⋰*⋻32A4⪚⋰*⋻1028≀⫉⋰*⋻1869⫣⪄⊒⋰*⋻2349)","cot":[{"info":"⋰*⋻845⨂≜⋰*⋻15A4=NaN","layer":3},{"info":"⪹NaN=NaN","layer":2},{"info":"⋰*⋻5414≠≀⋰*⋻1879=⋰*⋻-A57A","layer":3},{"info":"⋰*⋻-A57A≋⫹=⋰*⋻1A049","layer":2},{"info":"NaN⇂≾⫗⋰*⋻1A049=NaN","layer":1},{"info":"⋰*⋻1669⩱=⋰*⋻-9887","layer":3},{"info":"⋰*⋻25A8⨘⋶⪀=NaN","layer":3},{"info":"⋰*⋻-9887⪁NaN=NaN","layer":2},{"info":"⋰*⋻32A4⪚⋰*⋻1028=⋰*⋻424A","layer":3},{"info":"⋰*⋻1869⫣⪄⊒⋰*⋻2349=⋰*⋻-A769","layer":3},{"info":"⋰*⋻424A≀⫉⋰*⋻-A769=⋰*⋻2136","layer":2},{"info":"NaN⫸⊐⋰*⋻2136=NaN","layer":1},{"info":"NaN⨸NaN=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"(⊙↵-(↨⩢⫨$9125$⪬$1012$))⊋≦⊧(($2644$≹⇙⪍$7391$)⇔⨋)≦↸(($1836$⇴∐$5953$)⊢)","expression":"(⊙↵-(↨⩢⫨⋰*⋻6946⪬⋰*⋻840))⊋≦⊧((⋰*⋻1A94≹⇙⪍⋰*⋻560A)⇔⨋)≦↸((⋰*⋻141A⇴∐⋰*⋻4522)⊢)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":759,"operation_count":9,"complexity_ratio":84.33333333333333,"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":9125,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2644,"base":11},"right_expr":{"type":"numeric_atoms","value":7391,"base":11}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1836,"base":11},"right_expr":{"type":"numeric_atoms","value":5953,"base":11}}}}},"used_operators":["oRDoc9rAEX","oWn0xqSxBt","Z5CJsN7DuW","Ez1Nq5fNfI","RygbFNSyEJ","uBihLCJcMX","AHs5Up7iyr","40aOVDgCDB","HnzytWxmAO"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","NTOWxs364D","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⋰*⋻165","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=9125","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=9125, right_input=1012, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', 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":"number node, value=2644","layer":4},{"info":"number node, value=7391","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=7391, 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 = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":2},{"info":"number node, value=1836","layer":4},{"info":"number node, value=5953","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=5953, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-(↨⩢⫨⋰*⋻6946⪬⋰*⋻840))⊋≦⊧((⋰*⋻1A94≹⇙⪍⋰*⋻560A)⇔⨋)≦↸((⋰*⋻141A⇴∐⋰*⋻4522)⊢)=⋰*⋻165","reverse_text":"⋰*⋻165=(⊙↵-(↨⩢⫨⋰*⋻6946⪬⋰*⋻840))⊋≦⊧((⋰*⋻1A94≹⇙⪍⋰*⋻560A)⇔⨋)≦↸((⋰*⋻141A⇴∐⋰*⋻4522)⊢)","cot":[{"info":"⋰*⋻6946⪬⋰*⋻840=⋰*⋻A22","layer":3},{"info":"↨⩢⫨⋰*⋻A22=⋰*⋻0","layer":2},{"info":"⊙↵-⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻1A94≹⇙⪍⋰*⋻560A=NaN","layer":3},{"info":"NaN⇔⨋=NaN","layer":2},{"info":"⋰*⋻141A⇴∐⋰*⋻4522=NaN","layer":3},{"info":"NaN⊢=NaN","layer":2},{"info":"NaN≦↸NaN=NaN","layer":1},{"info":"⋰*⋻0⊋≦⊧NaN=⋰*⋻165","layer":0}]}
{"id":26,"expression_no_base_symbol":"↽≂((⊤⊝$5136$)⊭↱(⋠∜$2757$))⋾⨃∁(⊬↢$2173$∥⊢⊲$4208$)","expression":"↽≂((⊤⊝⋰*⋻394A)⊭↱(⋠∜⋰*⋻2087))⋾⨃∁(⊬↢⋰*⋻16A6∥⊢⊲⋰*⋻3186)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":123,"operation_count":7,"complexity_ratio":17.571428571428573,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":5136,"base":11}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2757,"base":11}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2173,"base":11},"right_expr":{"type":"numeric_atoms","value":4208,"base":11}}}}},"used_operators":["u6S6b8DprG","212REbPD9h","COABgblf1C","rXAclfmB4M","ZJpFhNJr3x","WPoGxAaPR1","v1UQAVDJRr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5136","layer":4},{"info":"compute unary expreesion, input=5136, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=8974","layer":3},{"info":"number node, value=2757","layer":4},{"info":"compute unary expreesion, input=2757, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=13312","layer":3},{"info":"compute binary expreesion, left_input=8974, right_input=13312, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8681","layer":2},{"info":"number node, value=2173","layer":4},{"info":"number node, value=4208","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=4208, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8681, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"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":11,"result_base":11,"text":"↽≂((⊤⊝⋰*⋻394A)⊭↱(⋠∜⋰*⋻2087))⋾⨃∁(⊬↢⋰*⋻16A6∥⊢⊲⋰*⋻3186)=NaN","reverse_text":"NaN=↽≂((⊤⊝⋰*⋻394A)⊭↱(⋠∜⋰*⋻2087))⋾⨃∁(⊬↢⋰*⋻16A6∥⊢⊲⋰*⋻3186)","cot":[{"info":"⊤⊝⋰*⋻394A=⋰*⋻6819","layer":3},{"info":"⋠∜⋰*⋻2087=⋰*⋻A002","layer":3},{"info":"⋰*⋻6819⊭↱⋰*⋻A002=⋰*⋻6582","layer":2},{"info":"⋰*⋻16A6∥⊢⊲⋰*⋻3186=NaN","layer":3},{"info":"⊬↢NaN=NaN","layer":2},{"info":"⋰*⋻6582⋾⨃∁NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"($1727$⩣⫁∢$2344$⨚$1320$⫣⪄⊒$1248$⪨≂(⊬↢$1112$⪬$3605$))≫≃","expression":"(⋰*⋻1330⩣⫁∢⋰*⋻1841⨚⋰*⋻AA0⫣⪄⊒⋰*⋻A35⪨≂(⊬↢⋰*⋻921⪬⋰*⋻2788))≫≃","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1929,"operation_count":7,"complexity_ratio":275.57142857142856,"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":1727,"base":11},"right_expr":{"type":"numeric_atoms","value":2344,"base":11}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1320,"base":11},"right_expr":{"type":"numeric_atoms","value":1248,"base":11}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1112,"base":11},"right_expr":{"type":"numeric_atoms","value":3605,"base":11}}}}},"used_operators":["X99M06cbEe","sdazOOVcIp","nREPSIbpBE","JDUIKTTSIa","RabNbG55vr","WPoGxAaPR1","Ez1Nq5fNfI"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⋰*⋻43AA8","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=2344, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3293","layer":3},{"info":"number node, value=1320","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=1248, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5360","layer":3},{"info":"compute binary expreesion, left_input=-3293, right_input=-5360, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=15788","layer":2},{"info":"number node, value=1112","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=3605, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute binary expreesion, left_input=15788, right_input=218, 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=31242","layer":1},{"info":"compute unary expreesion, input=31242, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=63885","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1330⩣⫁∢⋰*⋻1841⨚⋰*⋻AA0⫣⪄⊒⋰*⋻A35⪨≂(⊬↢⋰*⋻921⪬⋰*⋻2788))≫≃=⋰*⋻43AA8","reverse_text":"⋰*⋻43AA8=(⋰*⋻1330⩣⫁∢⋰*⋻1841⨚⋰*⋻AA0⫣⪄⊒⋰*⋻A35⪨≂(⊬↢⋰*⋻921⪬⋰*⋻2788))≫≃","cot":[{"info":"⋰*⋻1330⩣⫁∢⋰*⋻1841=⋰*⋻-2524","layer":3},{"info":"⋰*⋻AA0⫣⪄⊒⋰*⋻A35=⋰*⋻-4033","layer":3},{"info":"⋰*⋻-2524⨚⋰*⋻-4033=⋰*⋻10953","layer":2},{"info":"⋰*⋻921⪬⋰*⋻2788=⋰*⋻A22","layer":3},{"info":"⊬↢⋰*⋻A22=⋰*⋻189","layer":2},{"info":"⋰*⋻10953⪨≂⋰*⋻189=⋰*⋻21522","layer":1},{"info":"⋰*⋻21522≫≃=⋰*⋻43AA8","layer":0}]}
{"id":28,"expression_no_base_symbol":"(⨡↴(∡($3475$∀⊥⇻)))≳⇉((≸$2420$)≨($4028$∝$2186$))↹⊜(($1222$-$4345$)⪇≇⋚($1522$↺$1365$))","expression":"(⨡↴(∡(⋰*⋻267A∀⊥⇻)))≳⇉((≸⋰*⋻1900)≨(⋰*⋻3032∝⋰*⋻1708))↹⊜((⋰*⋻A11-⋰*⋻32A0)⪇≇⋚(⋰*⋻1164↺⋰*⋻1031))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":158510959,"operation_count":11,"complexity_ratio":14410087.181818182,"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":3475,"base":11}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2420,"base":11}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4028,"base":11},"right_expr":{"type":"numeric_atoms","value":2186,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1222,"base":11},"right_expr":{"type":"numeric_atoms","value":4345,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1522,"base":11},"right_expr":{"type":"numeric_atoms","value":1365,"base":11}}}}},"used_operators":["V0kx6qeWkN","liw5iZPkLH","pRsWfj4Fpp","k4iM1060OG","9bazX3JMtO","0KMCeP1Jsh","eOf03JbCpp","cTDWOvIxvz","3sJ7IOPOlU","rysDP5nf3Z","7j4O788W3g"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","P8v4zCKN1o","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3475","layer":4},{"info":"compute unary expreesion, input=3475, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1049","layer":1},{"info":"number node, value=2420","layer":4},{"info":"compute unary expreesion, input=2420, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=4028","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=2186, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4033","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=4033, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1896","layer":2},{"info":"number node, value=1222","layer":4},{"info":"number node, value=4345","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=4345, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3123","layer":3},{"info":"number node, value=1522","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=1365, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1365","layer":3},{"info":"compute binary expreesion, left_input=-3123, right_input=1365, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1896, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3696","layer":1},{"info":"compute binary expreesion, left_input=1049, right_input=3696, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨡↴(∡(⋰*⋻267A∀⊥⇻)))≳⇉((≸⋰*⋻1900)≨(⋰*⋻3032∝⋰*⋻1708))↹⊜((⋰*⋻A11-⋰*⋻32A0)⪇≇⋚(⋰*⋻1164↺⋰*⋻1031))=NaN","reverse_text":"NaN=(⨡↴(∡(⋰*⋻267A∀⊥⇻)))≳⇉((≸⋰*⋻1900)≨(⋰*⋻3032∝⋰*⋻1708))↹⊜((⋰*⋻A11-⋰*⋻32A0)⪇≇⋚(⋰*⋻1164↺⋰*⋻1031))","cot":[{"info":"⋰*⋻267A∀⊥⇻=⋰*⋻0","layer":3},{"info":"∡⋰*⋻0=⋰*⋻0","layer":2},{"info":"⨡↴⋰*⋻0=⋰*⋻874","layer":1},{"info":"≸⋰*⋻1900=⋰*⋻53","layer":3},{"info":"⋰*⋻3032∝⋰*⋻1708=⋰*⋻3037","layer":3},{"info":"⋰*⋻53≨⋰*⋻3037=⋰*⋻1474","layer":2},{"info":"⋰*⋻A11-⋰*⋻32A0=⋰*⋻-238A","layer":3},{"info":"⋰*⋻1164↺⋰*⋻1031=⋰*⋻1031","layer":3},{"info":"⋰*⋻-238A⪇≇⋚⋰*⋻1031=⋰*⋻0","layer":2},{"info":"⋰*⋻1474↹⊜⋰*⋻0=⋰*⋻2860","layer":1},{"info":"⋰*⋻874≳⇉⋰*⋻2860=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"($5260$⫳≱↱$1030$⇼⇔∾(⊥$3351$))∘(($1471$⨵⪆$2604$)⪛⫼$1431$⨭⪣$2159$)↺(↩⪖$1570$)⩌⋺$3229$⩼⇪↪$5069$≧⫂∧(↸⊣$1051$)⨟⋌⩍$2230$⫯⪬∳$4902$","expression":"(⋰*⋻3A52⫳≱↱⋰*⋻857⇼⇔∾(⊥⋰*⋻2577))∘((⋰*⋻1118⨵⪆⋰*⋻1A58)⪛⫼⋰*⋻1091⨭⪣⋰*⋻1693)↺(↩⪖⋰*⋻11A8)⩌⋺⋰*⋻2476⩼⇪↪⋰*⋻3899≧⫂∧(↸⊣⋰*⋻876)⨟⋌⩍⋰*⋻1748⫯⪬∳⋰*⋻3757","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":500,"operation_count":15,"complexity_ratio":33.333333333333336,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":1030,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3351,"base":11}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1471,"base":11},"right_expr":{"type":"numeric_atoms","value":2604,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1431,"base":11},"right_expr":{"type":"numeric_atoms","value":2159,"base":11}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1570,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3229,"base":11},"right_expr":{"type":"numeric_atoms","value":5069,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1051,"base":11}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2230,"base":11},"right_expr":{"type":"numeric_atoms","value":4902,"base":11}}}}},"used_operators":["7j4O788W3g","Z5m6OM72h2","tifHPKVTfV","ZvLB05nZmT","Q3PJZHRvZv","hyuBjUqXlG","2DQ55sFlQl","kn8WO9XteQ","Ph9nP6C5qx","g7Hmc5v1ko","fG6uBQFnGz","ocnLzx9CaJ","rGHVDoGpnC","wztAlM01eG","d7ASUq0ydm"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","fu6greOZ01","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Tcnh7f0tEr","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5260","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=1030, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3351","layer":4},{"info":"compute unary expreesion, input=3351, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1471","layer":4},{"info":"number node, value=2604","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=2604, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1431","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=2159, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=152","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=152, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=1570","layer":4},{"info":"compute unary expreesion, input=1570, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-12402","layer":3},{"info":"number node, value=3229","layer":4},{"info":"number node, value=5069","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=5069, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-29808","layer":3},{"info":"compute binary expreesion, left_input=-12402, right_input=-29808, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=42089","layer":2},{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-764","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=4902, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6281","layer":3},{"info":"compute binary expreesion, left_input=-764, right_input=6281, 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=42089, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3A52⫳≱↱⋰*⋻857⇼⇔∾(⊥⋰*⋻2577))∘((⋰*⋻1118⨵⪆⋰*⋻1A58)⪛⫼⋰*⋻1091⨭⪣⋰*⋻1693)↺(↩⪖⋰*⋻11A8)⩌⋺⋰*⋻2476⩼⇪↪⋰*⋻3899≧⫂∧(↸⊣⋰*⋻876)⨟⋌⩍⋰*⋻1748⫯⪬∳⋰*⋻3757=NaN","reverse_text":"NaN=(⋰*⋻3A52⫳≱↱⋰*⋻857⇼⇔∾(⊥⋰*⋻2577))∘((⋰*⋻1118⨵⪆⋰*⋻1A58)⪛⫼⋰*⋻1091⨭⪣⋰*⋻1693)↺(↩⪖⋰*⋻11A8)⩌⋺⋰*⋻2476⩼⇪↪⋰*⋻3899≧⫂∧(↸⊣⋰*⋻876)⨟⋌⩍⋰*⋻1748⫯⪬∳⋰*⋻3757","cot":[{"info":"⋰*⋻3A52⫳≱↱⋰*⋻857=⋰*⋻-176","layer":3},{"info":"⊥⋰*⋻2577=NaN","layer":3},{"info":"⋰*⋻-176⇼⇔∾NaN=NaN","layer":2},{"info":"⋰*⋻1118⨵⪆⋰*⋻1A58=⋰*⋻136","layer":3},{"info":"⋰*⋻1091⨭⪣⋰*⋻1693=⋰*⋻129","layer":3},{"info":"⋰*⋻136⪛⫼⋰*⋻129=⋰*⋻800","layer":2},{"info":"NaN∘⋰*⋻800=NaN","layer":1},{"info":"↩⪖⋰*⋻11A8=⋰*⋻-9355","layer":3},{"info":"⋰*⋻2476⩼⇪↪⋰*⋻3899=⋰*⋻-20439","layer":3},{"info":"⋰*⋻-9355⩌⋺⋰*⋻-20439=⋰*⋻29693","layer":2},{"info":"↸⊣⋰*⋻876=⋰*⋻-635","layer":3},{"info":"⋰*⋻1748⫯⪬∳⋰*⋻3757=⋰*⋻47A0","layer":3},{"info":"⋰*⋻-635⨟⋌⩍⋰*⋻47A0=NaN","layer":2},{"info":"⋰*⋻29693≧⫂∧NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"($1751$⊝⪿⪼$1420$∲⫓$5989$⇴∐$3335$)⪭≯($1173$∣$1268$)⪝(≋$2250$)⩺⪪(⇾⩊⇾(($3024$⋓$7430$)∳⫺$2294$↳≱$1511$))","expression":"(⋰*⋻1352⊝⪿⪼⋰*⋻1081∲⫓⋰*⋻4555⇴∐⋰*⋻2562)⪭≯(⋰*⋻977∣⋰*⋻A53)⪝(≋⋰*⋻1766)⩺⪪(⇾⩊⇾((⋰*⋻22AA⋓⋰*⋻5645)∳⫺⋰*⋻17A6↳≱⋰*⋻1154))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":956,"operation_count":12,"complexity_ratio":79.66666666666667,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1751,"base":11},"right_expr":{"type":"numeric_atoms","value":1420,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5989,"base":11},"right_expr":{"type":"numeric_atoms","value":3335,"base":11}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1173,"base":11},"right_expr":{"type":"numeric_atoms","value":1268,"base":11}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2250,"base":11}}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3024,"base":11},"right_expr":{"type":"numeric_atoms","value":7430,"base":11}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2294,"base":11},"right_expr":{"type":"numeric_atoms","value":1511,"base":11}}}}},"used_operators":["uvdQJvN4PV","XAx5wpdLa6","i8ToyICDmI","3Oe9XWJUTD","HnzytWxmAO","wicAB68Tmb","PPChnnnBFF","61wBmkZwlr","bx9Z9DAK5y","AzXXKTstlj","T2fj7uvVaJ","JwTKLfZU96"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1751","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=1420, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=29767","layer":3},{"info":"number node, value=5989","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=5989, right_input=3335, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=29767, 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=1173","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=1268, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1173","layer":3},{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2250","layer":3},{"info":"compute binary expreesion, left_input=1173, right_input=2250, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=237, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=3024","layer":4},{"info":"number node, value=7430","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=7430, 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=2294","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1511, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-4146","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4146, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1352⊝⪿⪼⋰*⋻1081∲⫓⋰*⋻4555⇴∐⋰*⋻2562)⪭≯(⋰*⋻977∣⋰*⋻A53)⪝(≋⋰*⋻1766)⩺⪪(⇾⩊⇾((⋰*⋻22AA⋓⋰*⋻5645)∳⫺⋰*⋻17A6↳≱⋰*⋻1154))=NaN","reverse_text":"NaN=(⋰*⋻1352⊝⪿⪼⋰*⋻1081∲⫓⋰*⋻4555⇴∐⋰*⋻2562)⪭≯(⋰*⋻977∣⋰*⋻A53)⪝(≋⋰*⋻1766)⩺⪪(⇾⩊⇾((⋰*⋻22AA⋓⋰*⋻5645)∳⫺⋰*⋻17A6↳≱⋰*⋻1154))","cot":[{"info":"⋰*⋻1352⊝⪿⪼⋰*⋻1081=⋰*⋻20401","layer":3},{"info":"⋰*⋻4555⇴∐⋰*⋻2562=NaN","layer":3},{"info":"⋰*⋻20401∲⫓NaN=NaN","layer":2},{"info":"⋰*⋻977∣⋰*⋻A53=⋰*⋻977","layer":3},{"info":"≋⋰*⋻1766=⋰*⋻1766","layer":3},{"info":"⋰*⋻977⪝⋰*⋻1766=⋰*⋻1A6","layer":2},{"info":"NaN⪭≯⋰*⋻1A6=NaN","layer":1},{"info":"⋰*⋻22AA⋓⋰*⋻5645=⋰*⋻0","layer":3},{"info":"⋰*⋻17A6↳≱⋰*⋻1154=⋰*⋻0","layer":3},{"info":"⋰*⋻0∳⫺⋰*⋻0=⋰*⋻-217","layer":2},{"info":"⇾⩊⇾⋰*⋻-217=⋰*⋻-312A","layer":1},{"info":"NaN⩺⪪⋰*⋻-312A=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"⇈(⋼∭⪍$5204$⩦$1691$⩍⋽⫝̸($4902$∣$2043$))","expression":"⇈(⋼∭⪍⋰*⋻3A01⩦⋰*⋻12A8⩍⋽⫝̸(⋰*⋻3757∣⋰*⋻1598))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1045,"operation_count":5,"complexity_ratio":209.0,"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":5204,"base":11},"right_expr":{"type":"numeric_atoms","value":1691,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4902,"base":11},"right_expr":{"type":"numeric_atoms","value":2043,"base":11}}}}},"used_operators":["SLLxy00UIr","DbCuESL50I","BiWNJpBvwn","0kmYd0q39Y","PPChnnnBFF"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","Ph9nP6C5qx","xUOZtlo3hN","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋰*⋻-377","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5204","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=5204, right_input=1691, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=10408","layer":3},{"info":"number node, value=4902","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=4902, right_input=2043, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4902","layer":3},{"info":"compute binary expreesion, left_input=10408, right_input=4902, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3956","layer":2},{"info":"compute unary expreesion, input=3956, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-14084","layer":1},{"info":"compute unary expreesion, input=-14084, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":11,"result_base":11,"text":"⇈(⋼∭⪍⋰*⋻3A01⩦⋰*⋻12A8⩍⋽⫝̸(⋰*⋻3757∣⋰*⋻1598))=⋰*⋻-377","reverse_text":"⋰*⋻-377=⇈(⋼∭⪍⋰*⋻3A01⩦⋰*⋻12A8⩍⋽⫝̸(⋰*⋻3757∣⋰*⋻1598))","cot":[{"info":"⋰*⋻3A01⩦⋰*⋻12A8=⋰*⋻7902","layer":3},{"info":"⋰*⋻3757∣⋰*⋻1598=⋰*⋻3757","layer":3},{"info":"⋰*⋻7902⩍⋽⫝̸⋰*⋻3757=⋰*⋻2A77","layer":2},{"info":"⋼∭⪍⋰*⋻2A77=⋰*⋻-A644","layer":1},{"info":"⇈⋰*⋻-A644=⋰*⋻-377","layer":0}]}
{"id":32,"expression_no_base_symbol":"(⪛⨧(⊤⊝$1172$))∊∟⩊(($1656$⫏⊷)⫔⩽⩺(⊢≑≆$5384$))⨫⇇↔(≑⋹($1159$≨$5940$)⊮⊟↴($5714$⩧⪆$7457$))","expression":"(⪛⨧(⊤⊝⋰*⋻976))∊∟⩊((⋰*⋻1276⫏⊷)⫔⩽⩺(⊢≑≆⋰*⋻4055))⨫⇇↔(≑⋹(⋰*⋻964≨⋰*⋻4510)⊮⊟↴(⋰*⋻4325⩧⪆⋰*⋻566A))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5521,"operation_count":11,"complexity_ratio":501.90909090909093,"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":1172,"base":11}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1656,"base":11}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":5384,"base":11}}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1159,"base":11},"right_expr":{"type":"numeric_atoms","value":5940,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":5714,"base":11},"right_expr":{"type":"numeric_atoms","value":7457,"base":11}}}}},"used_operators":["LXhwmt4mBO","ddLRYrp01A","6NJAcO2OWT","rXAclfmB4M","i9eR4S00cU","dcShxvzhyw","27wFxooxGf","6B9nyZLogK","QDVgd2eftb","0KMCeP1Jsh","Ikt5ks8PT7"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","Tw270M8GLb","fu6greOZ01","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eewbuw0ToL","t8gj7n24qd"],"result":"⋰*⋻-43A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1172","layer":4},{"info":"compute unary expreesion, input=1172, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1046","layer":3},{"info":"compute unary expreesion, input=1046, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3493","layer":2},{"info":"number node, value=1656","layer":4},{"info":"compute unary expreesion, input=1656, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=5384","layer":4},{"info":"compute unary expreesion, input=5384, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=21988","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=21988, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3493, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=25","layer":1},{"info":"number node, value=1159","layer":4},{"info":"number node, value=5940","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=5940, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-9114","layer":3},{"info":"number node, value=5714","layer":4},{"info":"number node, value=7457","layer":4},{"info":"compute binary expreesion, left_input=5714, right_input=7457, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7457","layer":3},{"info":"compute binary expreesion, left_input=-9114, right_input=-7457, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=276265","layer":2},{"info":"compute unary expreesion, input=276265, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=25, right_input=1650, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":11,"result_base":11,"text":"(⪛⨧(⊤⊝⋰*⋻976))∊∟⩊((⋰*⋻1276⫏⊷)⫔⩽⩺(⊢≑≆⋰*⋻4055))⨫⇇↔(≑⋹(⋰*⋻964≨⋰*⋻4510)⊮⊟↴(⋰*⋻4325⩧⪆⋰*⋻566A))=⋰*⋻-43A","reverse_text":"⋰*⋻-43A=(⪛⨧(⊤⊝⋰*⋻976))∊∟⩊((⋰*⋻1276⫏⊷)⫔⩽⩺(⊢≑≆⋰*⋻4055))⨫⇇↔(≑⋹(⋰*⋻964≨⋰*⋻4510)⊮⊟↴(⋰*⋻4325⩧⪆⋰*⋻566A))","cot":[{"info":"⊤⊝⋰*⋻976=⋰*⋻871","layer":3},{"info":"⪛⨧⋰*⋻871=⋰*⋻2696","layer":2},{"info":"⋰*⋻1276⫏⊷=⋰*⋻-686","layer":3},{"info":"⊢≑≆⋰*⋻4055=⋰*⋻1557A","layer":3},{"info":"⋰*⋻-686⫔⩽⩺⋰*⋻1557A=NaN","layer":2},{"info":"⋰*⋻2696∊∟⩊NaN=⋰*⋻23","layer":1},{"info":"⋰*⋻964≨⋰*⋻4510=⋰*⋻-6936","layer":3},{"info":"⋰*⋻4325⩧⪆⋰*⋻566A=⋰*⋻-566A","layer":3},{"info":"⋰*⋻-6936⊮⊟↴⋰*⋻-566A=⋰*⋻179620","layer":2},{"info":"≑⋹⋰*⋻179620=⋰*⋻1270","layer":1},{"info":"⋰*⋻23⨫⇇↔⋰*⋻1270=⋰*⋻-43A","layer":0}]}
{"id":33,"expression_no_base_symbol":"((($2201$⊝)∽(≪$3483$))⪶≀⋏($1987$⊭↱$1084$)⫁⪎(⨙⪌$1034$))⨀⨒","expression":"(((⋰*⋻1721⊝)∽(≪⋰*⋻2687))⪶≀⋏(⋰*⋻1547⊭↱⋰*⋻8A6)⫁⪎(⨙⪌⋰*⋻860))⨀⨒","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1027,"operation_count":8,"complexity_ratio":128.375,"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":2201,"base":11}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3483,"base":11}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1987,"base":11},"right_expr":{"type":"numeric_atoms","value":1084,"base":11}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1034,"base":11}}}}},"used_operators":["j6NVkjMzuk","zR4jO40bMj","y4ImoPnbV5","O6EZ0fifGK","Qtd6bqUJcN","xRrnTEsQ6j","COABgblf1C","vEGLkm4Z2k"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","QMFrweE19q","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⋰*⋻-1899","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2201","layer":4},{"info":"compute unary expreesion, input=2201, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2201","layer":3},{"info":"number node, value=3483","layer":4},{"info":"compute unary expreesion, input=3483, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=2201, right_input=913, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-13566","layer":2},{"info":"number node, value=1987","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=1084, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1801","layer":3},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-1801, right_input=868, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2669","layer":2},{"info":"compute binary expreesion, left_input=-13566, right_input=-2669, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21352","layer":1},{"info":"compute unary expreesion, input=-21352, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1721⊝)∽(≪⋰*⋻2687))⪶≀⋏(⋰*⋻1547⊭↱⋰*⋻8A6)⫁⪎(⨙⪌⋰*⋻860))⨀⨒=⋰*⋻-1899","reverse_text":"⋰*⋻-1899=(((⋰*⋻1721⊝)∽(≪⋰*⋻2687))⪶≀⋏(⋰*⋻1547⊭↱⋰*⋻8A6)⫁⪎(⨙⪌⋰*⋻860))⨀⨒","cot":[{"info":"⋰*⋻1721⊝=⋰*⋻1721","layer":3},{"info":"≪⋰*⋻2687=⋰*⋻760","layer":3},{"info":"⋰*⋻1721∽⋰*⋻760=⋰*⋻-A213","layer":2},{"info":"⋰*⋻1547⊭↱⋰*⋻8A6=⋰*⋻-1398","layer":3},{"info":"⨙⪌⋰*⋻860=⋰*⋻71A","layer":3},{"info":"⋰*⋻-1398⫁⪎⋰*⋻71A=⋰*⋻-2007","layer":2},{"info":"⋰*⋻-A213⪶≀⋏⋰*⋻-2007=⋰*⋻-15051","layer":1},{"info":"⋰*⋻-15051⨀⨒=⋰*⋻-1899","layer":0}]}
{"id":34,"expression_no_base_symbol":"↨($3360$⫸⇳$5269$⩵∡$1040$≝⊿$5389$)⨑⩅≇($1680$⋕⪉⪜$8969$⊝⪿⪼($4204$⫲≸⪮$6495$))","expression":"↨(⋰*⋻2585⫸⇳⋰*⋻3A60⩵∡⋰*⋻866≝⊿⋰*⋻405A)⨑⩅≇(⋰*⋻1298⋕⪉⪜⋰*⋻6814⊝⪿⪼(⋰*⋻3182⫲≸⪮⋰*⋻4975))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5267,"operation_count":8,"complexity_ratio":658.375,"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":3360,"base":11},"right_expr":{"type":"numeric_atoms","value":5269,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1040,"base":11},"right_expr":{"type":"numeric_atoms","value":5389,"base":11}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1680,"base":11},"right_expr":{"type":"numeric_atoms","value":8969,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4204,"base":11},"right_expr":{"type":"numeric_atoms","value":6495,"base":11}}}}},"used_operators":["jiX4gk2v2Q","h92wMvzauj","Y7wcNGrDQJ","gx7XJ7hdpj","OKKcZfAt5B","3Oe9XWJUTD","z6LnFrNh4i","P3lXMJvFrc"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","12rbrZMWeM","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3360","layer":4},{"info":"number node, value=5269","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=5269, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=5389","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=5389, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12351","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12351, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-12472","layer":2},{"info":"number node, value=1680","layer":4},{"info":"number node, value=8969","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=8969, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=4204","layer":4},{"info":"number node, value=6495","layer":4},{"info":"compute binary expreesion, left_input=4204, right_input=6495, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4204","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=4204, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=12992","layer":2},{"info":"compute binary expreesion, left_input=-12472, right_input=12992, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"↨(⋰*⋻2585⫸⇳⋰*⋻3A60⩵∡⋰*⋻866≝⊿⋰*⋻405A)⨑⩅≇(⋰*⋻1298⋕⪉⪜⋰*⋻6814⊝⪿⪼(⋰*⋻3182⫲≸⪮⋰*⋻4975))=⋰*⋻0","reverse_text":"⋰*⋻0=↨(⋰*⋻2585⫸⇳⋰*⋻3A60⩵∡⋰*⋻866≝⊿⋰*⋻405A)⨑⩅≇(⋰*⋻1298⋕⪉⪜⋰*⋻6814⊝⪿⪼(⋰*⋻3182⫲≸⪮⋰*⋻4975))","cot":[{"info":"⋰*⋻2585⫸⇳⋰*⋻3A60=⋰*⋻0","layer":3},{"info":"⋰*⋻866≝⊿⋰*⋻405A=⋰*⋻-9309","layer":3},{"info":"⋰*⋻0⩵∡⋰*⋻-9309=⋰*⋻-9409","layer":2},{"info":"⋰*⋻1298⋕⪉⪜⋰*⋻6814=⋰*⋻176","layer":3},{"info":"⋰*⋻3182⫲≸⪮⋰*⋻4975=⋰*⋻3182","layer":3},{"info":"⋰*⋻176⊝⪿⪼⋰*⋻3182=⋰*⋻9841","layer":2},{"info":"⋰*⋻-9409⨑⩅≇⋰*⋻9841=⋰*⋻-50","layer":1},{"info":"↨⋰*⋻-50=⋰*⋻0","layer":0}]}
{"id":35,"expression_no_base_symbol":"($1864$⋾⨃∁$5251$)⨔⇊($3169$⊀⩕)⪔⊥($1263$≄⊠$1238$⩹$2562$⊬⨰$1226$)⩉⊫⨁","expression":"(⋰*⋻1445⋾⨃∁⋰*⋻3A44)⨔⇊(⋰*⋻2421⊀⩕)⪔⊥(⋰*⋻A49≄⊠⋰*⋻A26⩹⋰*⋻1A1A⊬⨰⋰*⋻A15)⩉⊫⨁","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6641,"operation_count":8,"complexity_ratio":830.125,"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":1864,"base":11},"right_expr":{"type":"numeric_atoms","value":5251,"base":11}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":3169,"base":11}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1263,"base":11},"right_expr":{"type":"numeric_atoms","value":1238,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2562,"base":11},"right_expr":{"type":"numeric_atoms","value":1226,"base":11}}}}},"used_operators":["7qqUquhhSb","HJ9erzHUuu","JclMnS0uGI","212REbPD9h","r0FS3hW4cC","2Wsdkap16l","vXNesLlMH1","s3Fd5m9Dh2"],"dependent_operators":["7j4O788W3g","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rGHVDoGpnC","nhYeJWJD5X","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻-9862","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1864","layer":4},{"info":"number node, value=5251","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=5251, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=275666904","layer":3},{"info":"number node, value=3169","layer":4},{"info":"compute unary expreesion, input=3169, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=275666904, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"number node, value=1263","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1238, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=24476","layer":3},{"info":"number node, value=2562","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=2562, right_input=1226, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6410","layer":3},{"info":"compute binary expreesion, left_input=24476, right_input=6410, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=6408","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6408, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-13015","layer":1},{"info":"compute unary expreesion, input=-13015, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-13015","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1445⋾⨃∁⋰*⋻3A44)⨔⇊(⋰*⋻2421⊀⩕)⪔⊥(⋰*⋻A49≄⊠⋰*⋻A26⩹⋰*⋻1A1A⊬⨰⋰*⋻A15)⩉⊫⨁=⋰*⋻-9862","reverse_text":"⋰*⋻-9862=(⋰*⋻1445⋾⨃∁⋰*⋻3A44)⨔⇊(⋰*⋻2421⊀⩕)⪔⊥(⋰*⋻A49≄⊠⋰*⋻A26⩹⋰*⋻1A1A⊬⨰⋰*⋻A15)⩉⊫⨁","cot":[{"info":"⋰*⋻1445⋾⨃∁⋰*⋻3A44=⋰*⋻131674697","layer":3},{"info":"⋰*⋻2421⊀⩕=⋰*⋻0","layer":3},{"info":"⋰*⋻131674697⨔⇊⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻A49≄⊠⋰*⋻A26=⋰*⋻17431","layer":3},{"info":"⋰*⋻1A1A⊬⨰⋰*⋻A15=⋰*⋻48A8","layer":3},{"info":"⋰*⋻17431⩹⋰*⋻48A8=⋰*⋻48A6","layer":2},{"info":"⋰*⋻0⪔⊥⋰*⋻48A6=⋰*⋻-9862","layer":1},{"info":"⋰*⋻-9862⩉⊫⨁=⋰*⋻-9862","layer":0}]}
{"id":36,"expression_no_base_symbol":"⋣((⇐($1736$↸$7812$))⪄$2809$⇻⋧≁$4545$⫯⪬∳($1339$⇼⇔∾$1368$))","expression":"⋣((⇐(⋰*⋻1339↸⋰*⋻5962))⪄⋰*⋻2124⇻⋧≁⋰*⋻3462⫯⪬∳(⋰*⋻1008⇼⇔∾⋰*⋻1034))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4903,"operation_count":7,"complexity_ratio":700.4285714285714,"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":1736,"base":11},"right_expr":{"type":"numeric_atoms","value":7812,"base":11}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2809,"base":11},"right_expr":{"type":"numeric_atoms","value":4545,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1339,"base":11},"right_expr":{"type":"numeric_atoms","value":1368,"base":11}}}}},"used_operators":["zQWRhDnn8F","SUmda5xLS4","nmZMaaE0Q9","1eCjFl0mb9","d7ASUq0ydm","jCPkEVoL5K","tifHPKVTfV"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1736","layer":4},{"info":"number node, value=7812","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=7812, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1736","layer":3},{"info":"compute unary expreesion, input=1736, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2718","layer":2},{"info":"number node, value=2809","layer":4},{"info":"number node, value=4545","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=4545, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=1368, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=29","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=29, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=2718, right_input=868, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-401825","layer":1},{"info":"compute unary expreesion, input=-401825, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":11,"result_base":11,"text":"⋣((⇐(⋰*⋻1339↸⋰*⋻5962))⪄⋰*⋻2124⇻⋧≁⋰*⋻3462⫯⪬∳(⋰*⋻1008⇼⇔∾⋰*⋻1034))=⋰*⋻-A3","reverse_text":"⋰*⋻-A3=⋣((⇐(⋰*⋻1339↸⋰*⋻5962))⪄⋰*⋻2124⇻⋧≁⋰*⋻3462⫯⪬∳(⋰*⋻1008⇼⇔∾⋰*⋻1034))","cot":[{"info":"⋰*⋻1339↸⋰*⋻5962=⋰*⋻1339","layer":3},{"info":"⇐⋰*⋻1339=⋰*⋻2051","layer":2},{"info":"⋰*⋻2124⇻⋧≁⋰*⋻3462=⋰*⋻-377","layer":3},{"info":"⋰*⋻1008⇼⇔∾⋰*⋻1034=⋰*⋻27","layer":3},{"info":"⋰*⋻-377⫯⪬∳⋰*⋻27=⋰*⋻71A","layer":2},{"info":"⋰*⋻2051⪄⋰*⋻71A=⋰*⋻-254996","layer":1},{"info":"⋣⋰*⋻-254996=⋰*⋻-A3","layer":0}]}
{"id":37,"expression_no_base_symbol":"(≛(⇾⩊⇾($4682$∛$6602$)))⪃⊛⇣(⇐(($7842$⩠)≚⊃≕$2201$⊬⨰$4615$))","expression":"(≛(⇾⩊⇾(⋰*⋻3577∛⋰*⋻4A62)))⪃⊛⇣(⇐((⋰*⋻598A⩠)≚⊃≕⋰*⋻1721⊬⨰⋰*⋻3516))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":800,"operation_count":8,"complexity_ratio":100.0,"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":4682,"base":11},"right_expr":{"type":"numeric_atoms","value":6602,"base":11}}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7842,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2201,"base":11},"right_expr":{"type":"numeric_atoms","value":4615,"base":11}}}}},"used_operators":["rrgAzCduG9","W7eaUhjymW","bx9Z9DAK5y","w2537kitQq","nmZMaaE0Q9","Bmrmz2XGnR","sJAwomhLZr","s3Fd5m9Dh2"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4682","layer":4},{"info":"number node, value=6602","layer":4},{"info":"compute binary expreesion, left_input=4682, right_input=6602, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-456","layer":2},{"info":"compute unary expreesion, input=-456, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-1149","layer":1},{"info":"number node, value=7842","layer":4},{"info":"compute unary expreesion, input=7842, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2201","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=4615, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=19605","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=19605, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-62311","layer":2},{"info":"compute unary expreesion, input=-62311, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":1},{"info":"compute binary expreesion, left_input=-1149, right_input=-5016, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"(≛(⇾⩊⇾(⋰*⋻3577∛⋰*⋻4A62)))⪃⊛⇣(⇐((⋰*⋻598A⩠)≚⊃≕⋰*⋻1721⊬⨰⋰*⋻3516))=⋰*⋻A22","reverse_text":"⋰*⋻A22=(≛(⇾⩊⇾(⋰*⋻3577∛⋰*⋻4A62)))⪃⊛⇣(⇐((⋰*⋻598A⩠)≚⊃≕⋰*⋻1721⊬⨰⋰*⋻3516))","cot":[{"info":"⋰*⋻3577∛⋰*⋻4A62=⋰*⋻-55A","layer":3},{"info":"⇾⩊⇾⋰*⋻-55A=⋰*⋻-385","layer":2},{"info":"≛⋰*⋻-385=⋰*⋻-955","layer":1},{"info":"⋰*⋻598A⩠=⋰*⋻0","layer":3},{"info":"⋰*⋻1721⊬⨰⋰*⋻3516=⋰*⋻13803","layer":3},{"info":"⋰*⋻0≚⊃≕⋰*⋻13803=⋰*⋻-428A7","layer":2},{"info":"⇐⋰*⋻-428A7=⋰*⋻-3850","layer":1},{"info":"⋰*⋻-955⪃⊛⇣⋰*⋻-3850=⋰*⋻A22","layer":0}]}
{"id":38,"expression_no_base_symbol":"(($6140$⊮⊟↴$1727$⪶≀⋏$1077$⨿$3652$)↬(⪛⨧($2823$⪉⨛$6762$)))∀⇚≩(($7007$∋$2488$⪁$1321$⪭$7162$)⊾⪯⋞($4729$⨸⪁$1625$)⨽∌($5447$∖$2507$))","expression":"((⋰*⋻4682⊮⊟↴⋰*⋻1330⪶≀⋏⋰*⋻89A⨿⋰*⋻2820)↬(⪛⨧(⋰*⋻2137⪉⨛⋰*⋻5098)))∀⇚≩((⋰*⋻52A0∋⋰*⋻1962⪁⋰*⋻AA1⪭⋰*⋻5421)⊾⪯⋞(⋰*⋻360A⨸⪁⋰*⋻1248)⨽∌(⋰*⋻4102∖⋰*⋻197A))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":962,"operation_count":14,"complexity_ratio":68.71428571428571,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6140,"base":11},"right_expr":{"type":"numeric_atoms","value":1727,"base":11}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1077,"base":11},"right_expr":{"type":"numeric_atoms","value":3652,"base":11}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2823,"base":11},"right_expr":{"type":"numeric_atoms","value":6762,"base":11}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":7007,"base":11},"right_expr":{"type":"numeric_atoms","value":2488,"base":11}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1321,"base":11},"right_expr":{"type":"numeric_atoms","value":7162,"base":11}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4729,"base":11},"right_expr":{"type":"numeric_atoms","value":1625,"base":11}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5447,"base":11},"right_expr":{"type":"numeric_atoms","value":2507,"base":11}}}}},"used_operators":["LRNGc0VcxI","B5M0gjZbta","zR4jO40bMj","QDVgd2eftb","abYXlopdE0","6NJAcO2OWT","EWw2JM7wp4","HK0tfVPux8","I7sXao9hZE","ukq6epAj5P","j9kHMeSvPp","9samAPKr6k","g55IO6H4Gj","tXD093vOjl"],"dependent_operators":["X99M06cbEe","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","COABgblf1C","xUOZtlo3hN","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6140","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=6140, right_input=1727, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=3652, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-319, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-2552","layer":2},{"info":"number node, value=2823","layer":4},{"info":"number node, value=6762","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=6762, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1922","layer":3},{"info":"compute unary expreesion, input=1922, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5245","layer":2},{"info":"compute binary expreesion, left_input=-2552, right_input=5245, 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=7007","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=7007, right_input=2488, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5465828","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=7162","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=7162, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=5465828, right_input=5, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=4729","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=4729, right_input=1625, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12708","layer":3},{"info":"number node, value=5447","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=5447, right_input=2507, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12708, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":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":11,"result_base":11,"text":"((⋰*⋻4682⊮⊟↴⋰*⋻1330⪶≀⋏⋰*⋻89A⨿⋰*⋻2820)↬(⪛⨧(⋰*⋻2137⪉⨛⋰*⋻5098)))∀⇚≩((⋰*⋻52A0∋⋰*⋻1962⪁⋰*⋻AA1⪭⋰*⋻5421)⊾⪯⋞(⋰*⋻360A⨸⪁⋰*⋻1248)⨽∌(⋰*⋻4102∖⋰*⋻197A))=NaN","reverse_text":"NaN=((⋰*⋻4682⊮⊟↴⋰*⋻1330⪶≀⋏⋰*⋻89A⨿⋰*⋻2820)↬(⪛⨧(⋰*⋻2137⪉⨛⋰*⋻5098)))∀⇚≩((⋰*⋻52A0∋⋰*⋻1962⪁⋰*⋻AA1⪭⋰*⋻5421)⊾⪯⋞(⋰*⋻360A⨸⪁⋰*⋻1248)⨽∌(⋰*⋻4102∖⋰*⋻197A))","cot":[{"info":"⋰*⋻4682⊮⊟↴⋰*⋻1330=⋰*⋻0","layer":3},{"info":"⋰*⋻89A⨿⋰*⋻2820=⋰*⋻-270","layer":3},{"info":"⋰*⋻0⪶≀⋏⋰*⋻-270=⋰*⋻-1A10","layer":2},{"info":"⋰*⋻2137⪉⨛⋰*⋻5098=⋰*⋻1498","layer":3},{"info":"⪛⨧⋰*⋻1498=⋰*⋻3A39","layer":2},{"info":"⋰*⋻-1A10↬⋰*⋻3A39=NaN","layer":1},{"info":"⋰*⋻52A0∋⋰*⋻1962=⋰*⋻30A3615","layer":3},{"info":"⋰*⋻AA1⪭⋰*⋻5421=⋰*⋻5","layer":3},{"info":"⋰*⋻30A3615⪁⋰*⋻5=NaN","layer":2},{"info":"⋰*⋻360A⨸⪁⋰*⋻1248=⋰*⋻9603","layer":3},{"info":"⋰*⋻4102∖⋰*⋻197A=⋰*⋻0","layer":3},{"info":"⋰*⋻9603⨽∌⋰*⋻0=NaN","layer":2},{"info":"NaN⊾⪯⋞NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"(($1092$⩨$2647$)⇡⇂($5095$⫩⊇)⊬⫿⊭)⇉⇉","expression":"((⋰*⋻903⩨⋰*⋻1A97)⇡⇂(⋰*⋻3912⫩⊇)⊬⫿⊭)⇉⇉","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":37220,"operation_count":5,"complexity_ratio":7444.0,"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":1092,"base":11},"right_expr":{"type":"numeric_atoms","value":2647,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5095,"base":11}}}}},"used_operators":["diKm42VcIt","v0DYgG9ikt","UMwdvZNt44","2DlMacCsIx","BjRHVeLaeN"],"dependent_operators":["RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻16A1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=2647, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=5095","layer":4},{"info":"compute unary expreesion, input=5095, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5053","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-5053, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-3","layer":2},{"info":"compute unary expreesion, input=-3, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=215","layer":1},{"info":"compute unary expreesion, input=215, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=2168","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻903⩨⋰*⋻1A97)⇡⇂(⋰*⋻3912⫩⊇)⊬⫿⊭)⇉⇉=⋰*⋻16A1","reverse_text":"⋰*⋻16A1=((⋰*⋻903⩨⋰*⋻1A97)⇡⇂(⋰*⋻3912⫩⊇)⊬⫿⊭)⇉⇉","cot":[{"info":"⋰*⋻903⩨⋰*⋻1A97=⋰*⋻-6","layer":3},{"info":"⋰*⋻3912⫩⊇=⋰*⋻-3884","layer":3},{"info":"⋰*⋻-6⇡⇂⋰*⋻-3884=⋰*⋻-3","layer":2},{"info":"⋰*⋻-3⊬⫿⊭=⋰*⋻186","layer":1},{"info":"⋰*⋻186⇉⇉=⋰*⋻16A1","layer":0}]}
{"id":40,"expression_no_base_symbol":"(↩(↨⩢⫨$5154$)⊲⩕⊾(≱⇩⩕$3378$))⪪(($2637$⫞⩸⩒$3545$⪛⫼$1026$∘$1665$)⨪↰⇹(⇺⋃($7563$⪢$2194$)))","expression":"(↩(↨⩢⫨⋰*⋻3966)⊲⩕⊾(≱⇩⩕⋰*⋻25A1))⪪((⋰*⋻1A88⫞⩸⩒⋰*⋻2733⪛⫼⋰*⋻853∘⋰*⋻1284)⨪↰⇹(⇺⋃(⋰*⋻5756⪢⋰*⋻1715)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6622,"operation_count":11,"complexity_ratio":602.0,"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":5154,"base":11}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":3378,"base":11}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2637,"base":11},"right_expr":{"type":"numeric_atoms","value":3545,"base":11}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1026,"base":11},"right_expr":{"type":"numeric_atoms","value":1665,"base":11}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7563,"base":11},"right_expr":{"type":"numeric_atoms","value":2194,"base":11}}}}},"used_operators":["xD69zh8xqp","jLgFTUHLKL","DmTXOeWf9t","Z5CJsN7DuW","3DZMoQKiUl","tmPS8pqC7x","hyuBjUqXlG","XGcMNugi78","Z5m6OM72h2","E5v5B3UAjG","dWAJyo7jo9"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rJVOvQCfKK","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","k8jYdgA6NY"],"result":"⋰*⋻-4732","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5154","layer":4},{"info":"compute unary expreesion, input=5154, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=3378","layer":4},{"info":"compute unary expreesion, input=3378, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=2240","layer":2},{"info":"compute unary expreesion, input=2240, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15140","layer":1},{"info":"number node, value=2637","layer":4},{"info":"number node, value=3545","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=3545, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3545","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1665, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2052","layer":3},{"info":"compute binary expreesion, left_input=3545, right_input=2052, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=7563","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=7563, right_input=2194, 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 = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, 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=968","layer":1},{"info":"compute binary expreesion, left_input=-15140, right_input=968, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":11,"result_base":11,"text":"(↩(↨⩢⫨⋰*⋻3966)⊲⩕⊾(≱⇩⩕⋰*⋻25A1))⪪((⋰*⋻1A88⫞⩸⩒⋰*⋻2733⪛⫼⋰*⋻853∘⋰*⋻1284)⨪↰⇹(⇺⋃(⋰*⋻5756⪢⋰*⋻1715)))=⋰*⋻-4732","reverse_text":"⋰*⋻-4732=(↩(↨⩢⫨⋰*⋻3966)⊲⩕⊾(≱⇩⩕⋰*⋻25A1))⪪((⋰*⋻1A88⫞⩸⩒⋰*⋻2733⪛⫼⋰*⋻853∘⋰*⋻1284)⨪↰⇹(⇺⋃(⋰*⋻5756⪢⋰*⋻1715)))","cot":[{"info":"↨⩢⫨⋰*⋻3966=⋰*⋻0","layer":3},{"info":"≱⇩⩕⋰*⋻25A1=⋰*⋻A3","layer":3},{"info":"⋰*⋻0⊲⩕⊾⋰*⋻A3=⋰*⋻1757","layer":2},{"info":"↩⋰*⋻1757=⋰*⋻-10414","layer":1},{"info":"⋰*⋻1A88⫞⩸⩒⋰*⋻2733=⋰*⋻2733","layer":3},{"info":"⋰*⋻853∘⋰*⋻1284=⋰*⋻15A6","layer":3},{"info":"⋰*⋻2733⪛⫼⋰*⋻15A6=⋰*⋻800","layer":2},{"info":"⋰*⋻5756⪢⋰*⋻1715=NaN","layer":3},{"info":"⇺⋃NaN=NaN","layer":2},{"info":"⋰*⋻800⨪↰⇹NaN=⋰*⋻800","layer":1},{"info":"⋰*⋻-10414⪪⋰*⋻800=⋰*⋻-4732","layer":0}]}
{"id":41,"expression_no_base_symbol":"⇘((($1932$∣$6622$)⫁(⩪∧⨌$3193$))⇪⋭)","expression":"⇘(((⋰*⋻14A7∣⋰*⋻4A80)⫁(⩪∧⨌⋰*⋻2443))⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":205,"operation_count":5,"complexity_ratio":41.0,"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":1932,"base":11},"right_expr":{"type":"numeric_atoms","value":6622,"base":11}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":3193,"base":11}}}}},"used_operators":["MGuIdZPyUC","Z8Yg6dlDSp","0ajvFaJAv0","PPChnnnBFF","6iOiAJX1F8"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":4},{"info":"number node, value=6622","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=6622, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1932","layer":3},{"info":"number node, value=3193","layer":4},{"info":"compute unary expreesion, input=3193, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=31930","layer":3},{"info":"compute binary expreesion, left_input=1932, right_input=31930, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇘(((⋰*⋻14A7∣⋰*⋻4A80)⫁(⩪∧⨌⋰*⋻2443))⇪⋭)=NaN","reverse_text":"NaN=⇘(((⋰*⋻14A7∣⋰*⋻4A80)⫁(⩪∧⨌⋰*⋻2443))⇪⋭)","cot":[{"info":"⋰*⋻14A7∣⋰*⋻4A80=⋰*⋻14A7","layer":3},{"info":"⩪∧⨌⋰*⋻2443=⋰*⋻21A98","layer":3},{"info":"⋰*⋻14A7⫁⋰*⋻21A98=⋰*⋻136","layer":2},{"info":"⋰*⋻136⇪⋭=NaN","layer":1},{"info":"⇘NaN=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"(((⊗$5327$)≑≱⪘)⪔⊥((≯$5836$)↪⪝))⊮⊟↴(($1789$⨲∙)⩺⪪($3514$/$5693$)∪⫐($4529$⨼⩣$3441$)⩣⫁∢(⨈⫕$2165$))","expression":"(((⊗⋰*⋻4003)≑≱⪘)⪔⊥((≯⋰*⋻4426)↪⪝))⊮⊟↴((⋰*⋻1387⨲∙)⩺⪪(⋰*⋻2705/⋰*⋻4306)∪⫐(⋰*⋻3448⨼⩣⋰*⋻2649)⩣⫁∢(⨈⫕⋰*⋻1699))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1568,"operation_count":13,"complexity_ratio":120.61538461538461,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":5327,"base":11}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":5836,"base":11}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1789,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3514,"base":11},"right_expr":{"type":"numeric_atoms","value":5693,"base":11}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4529,"base":11},"right_expr":{"type":"numeric_atoms","value":3441,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2165,"base":11}}}}},"used_operators":["QDVgd2eftb","HJ9erzHUuu","tGSeddj7UK","RhiyfpczSx","l07mrZUIn9","keWfFq85dY","7YooWSwCyH","uvdQJvN4PV","cRahaglYVE","XhwjNDsVaA","JDUIKTTSIa","JxwMv5le6e","megm06wKyl"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","9HNa5Wba9A","2DDjHMKMc0","g55IO6H4Gj","JLbD19bQDL","rJVOvQCfKK","2DDjHMKMc0","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5327","layer":4},{"info":"compute unary expreesion, input=5327, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-10654","layer":3},{"info":"compute unary expreesion, input=-10654, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=282342","layer":2},{"info":"number node, value=5836","layer":4},{"info":"compute unary expreesion, input=5836, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', 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 binary expreesion, left_input=282342, right_input=0, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-281543","layer":1},{"info":"number node, value=1789","layer":4},{"info":"compute unary expreesion, input=1789, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=22348834","layer":3},{"info":"number node, value=3514","layer":4},{"info":"number node, value=5693","layer":4},{"info":"compute binary expreesion, left_input=3514, right_input=5693, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=22348834, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-357582242","layer":2},{"info":"number node, value=4529","layer":4},{"info":"number node, value=3441","layer":4},{"info":"compute binary expreesion, left_input=4529, right_input=3441, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2165","layer":4},{"info":"compute unary expreesion, input=2165, 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 = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-357582242, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-357582242","layer":1},{"info":"compute binary expreesion, left_input=-281543, right_input=-357582242, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⊗⋰*⋻4003)≑≱⪘)⪔⊥((≯⋰*⋻4426)↪⪝))⊮⊟↴((⋰*⋻1387⨲∙)⩺⪪(⋰*⋻2705/⋰*⋻4306)∪⫐(⋰*⋻3448⨼⩣⋰*⋻2649)⩣⫁∢(⨈⫕⋰*⋻1699))=NaN","reverse_text":"NaN=(((⊗⋰*⋻4003)≑≱⪘)⪔⊥((≯⋰*⋻4426)↪⪝))⊮⊟↴((⋰*⋻1387⨲∙)⩺⪪(⋰*⋻2705/⋰*⋻4306)∪⫐(⋰*⋻3448⨼⩣⋰*⋻2649)⩣⫁∢(⨈⫕⋰*⋻1699))","cot":[{"info":"⊗⋰*⋻4003=⋰*⋻-8006","layer":3},{"info":"⋰*⋻-8006≑≱⪘=⋰*⋻183145","layer":2},{"info":"≯⋰*⋻4426=⋰*⋻0","layer":3},{"info":"⋰*⋻0↪⪝=⋰*⋻0","layer":2},{"info":"⋰*⋻183145⪔⊥⋰*⋻0=⋰*⋻-182589","layer":1},{"info":"⋰*⋻1387⨲∙=⋰*⋻11685012","layer":3},{"info":"⋰*⋻2705/⋰*⋻4306=⋰*⋻0","layer":3},{"info":"⋰*⋻11685012⩺⪪⋰*⋻0=⋰*⋻-173933916","layer":2},{"info":"⋰*⋻3448⨼⩣⋰*⋻2649=NaN","layer":3},{"info":"⨈⫕⋰*⋻1699=⋰*⋻-1A","layer":3},{"info":"NaN⩣⫁∢⋰*⋻-1A=NaN","layer":2},{"info":"⋰*⋻-173933916∪⫐NaN=⋰*⋻-173933916","layer":1},{"info":"⋰*⋻-182589⊮⊟↴⋰*⋻-173933916=NaN","layer":0}]}
{"id":43,"expression_no_base_symbol":"((($4190$∩⋅)⪄$4408$⪃⊛⇣$1720$)⫩⊇)⨫⇇↔(⊖∈(⇾⩊⇾$9792$)⊕∕($1995$⨑≵⋬$2708$))","expression":"(((⋰*⋻316A∩⋅)⪄⋰*⋻3348⪃⊛⇣⋰*⋻1324)⫩⊇)⨫⇇↔(⊖∈(⇾⩊⇾⋰*⋻73A2)⊕∕(⋰*⋻1554⨑≵⋬⋰*⋻2042))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":284596,"operation_count":9,"complexity_ratio":31621.777777777777,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":4190,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4408,"base":11},"right_expr":{"type":"numeric_atoms","value":1720,"base":11}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":9792,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1995,"base":11},"right_expr":{"type":"numeric_atoms","value":2708,"base":11}}}}},"used_operators":["LXhwmt4mBO","BjRHVeLaeN","SUmda5xLS4","2MzE1hQ0cz","rrgAzCduG9","YFxL8Sc2Zy","9cloC0Ngie","bx9Z9DAK5y","XnXgA4xnOs"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋰*⋻-43A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4190","layer":4},{"info":"compute unary expreesion, input=4190, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-4069","layer":3},{"info":"number node, value=4408","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=4408, right_input=1720, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4069, right_input=1234, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3937","layer":1},{"info":"number node, value=9792","layer":4},{"info":"compute unary expreesion, input=9792, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-94614","layer":3},{"info":"number node, value=1995","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=1995, right_input=2708, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-7602","layer":3},{"info":"compute binary expreesion, left_input=-94614, right_input=-7602, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-94614","layer":2},{"info":"compute unary expreesion, input=-94614, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=-3937, right_input=inf, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻316A∩⋅)⪄⋰*⋻3348⪃⊛⇣⋰*⋻1324)⫩⊇)⨫⇇↔(⊖∈(⇾⩊⇾⋰*⋻73A2)⊕∕(⋰*⋻1554⨑≵⋬⋰*⋻2042))=⋰*⋻-43A","reverse_text":"⋰*⋻-43A=(((⋰*⋻316A∩⋅)⪄⋰*⋻3348⪃⊛⇣⋰*⋻1324)⫩⊇)⨫⇇↔(⊖∈(⇾⩊⇾⋰*⋻73A2)⊕∕(⋰*⋻1554⨑≵⋬⋰*⋻2042))","cot":[{"info":"⋰*⋻316A∩⋅=⋰*⋻-306A","layer":3},{"info":"⋰*⋻3348⪃⊛⇣⋰*⋻1324=⋰*⋻A22","layer":3},{"info":"⋰*⋻-306A⪄⋰*⋻A22=⋰*⋻2A98","layer":2},{"info":"⋰*⋻2A98⫩⊇=⋰*⋻-2A5A","layer":1},{"info":"⇾⩊⇾⋰*⋻73A2=⋰*⋻-650A3","layer":3},{"info":"⋰*⋻1554⨑≵⋬⋰*⋻2042=⋰*⋻-5791","layer":3},{"info":"⋰*⋻-650A3⊕∕⋰*⋻-5791=⋰*⋻-650A3","layer":2},{"info":"⊖∈⋰*⋻-650A3=Inf","layer":1},{"info":"⋰*⋻-2A5A⨫⇇↔Inf=⋰*⋻-43A","layer":0}]}
{"id":44,"expression_no_base_symbol":"∷≠((⇖⫷⫕($1280$∲⫓$3635$))⇉⇱⇎)","expression":"∷≠((⇖⫷⫕(⋰*⋻A64∲⫓⋰*⋻2805))⇉⇱⇎)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":750,"operation_count":4,"complexity_ratio":187.5,"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":1280,"base":11},"right_expr":{"type":"numeric_atoms","value":3635,"base":11}}}}},"used_operators":["QiR2Oyf5Xj","MRPaB8lBjK","UHmRx3INFg","i8ToyICDmI"],"dependent_operators":["7j4O788W3g","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-1A58","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1280","layer":4},{"info":"number node, value=3635","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=3635, 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 = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-2604","layer":1},{"info":"compute unary expreesion, input=-2604, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-2604","layer":0}],"base":11,"result_base":11,"text":"∷≠((⇖⫷⫕(⋰*⋻A64∲⫓⋰*⋻2805))⇉⇱⇎)=⋰*⋻-1A58","reverse_text":"⋰*⋻-1A58=∷≠((⇖⫷⫕(⋰*⋻A64∲⫓⋰*⋻2805))⇉⇱⇎)","cot":[{"info":"⋰*⋻A64∲⫓⋰*⋻2805=⋰*⋻0","layer":3},{"info":"⇖⫷⫕⋰*⋻0=⋰*⋻2136","layer":2},{"info":"⋰*⋻2136⇉⇱⇎=⋰*⋻-1A58","layer":1},{"info":"∷≠⋰*⋻-1A58=⋰*⋻-1A58","layer":0}]}
{"id":45,"expression_no_base_symbol":"⋂(($4096$⨐$1005$)⨽∌($2561$⨼⩣$2723$)⨐⩸⫘(⊀($6658$⨘⋶⪀)))","expression":"⋂((⋰*⋻3094⨐⋰*⋻834)⨽∌(⋰*⋻1A19⨼⩣⋰*⋻2056)⨐⩸⫘(⊀(⋰*⋻5003⨘⋶⪀)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":536,"operation_count":7,"complexity_ratio":76.57142857142857,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4096,"base":11},"right_expr":{"type":"numeric_atoms","value":1005,"base":11}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2561,"base":11},"right_expr":{"type":"numeric_atoms","value":2723,"base":11}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":6658,"base":11}}}}},"used_operators":["BUOGQAYlQx","fu6greOZ01","9samAPKr6k","Noe24qw2ks","JxwMv5le6e","oPMjh9089D","XVKwrhznBb"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","3ViojmjbAp","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4096","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=4096, right_input=1005, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8192","layer":3},{"info":"number node, value=2561","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=2561, right_input=2723, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8192, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"number node, value=6658","layer":4},{"info":"compute unary expreesion, input=6658, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋂((⋰*⋻3094⨐⋰*⋻834)⨽∌(⋰*⋻1A19⨼⩣⋰*⋻2056)⨐⩸⫘(⊀(⋰*⋻5003⨘⋶⪀)))=NaN","reverse_text":"NaN=⋂((⋰*⋻3094⨐⋰*⋻834)⨽∌(⋰*⋻1A19⨼⩣⋰*⋻2056)⨐⩸⫘(⊀(⋰*⋻5003⨘⋶⪀)))","cot":[{"info":"⋰*⋻3094⨐⋰*⋻834=⋰*⋻-6178","layer":3},{"info":"⋰*⋻1A19⨼⩣⋰*⋻2056=NaN","layer":3},{"info":"⋰*⋻-6178⨽∌NaN=NaN","layer":2},{"info":"⋰*⋻5003⨘⋶⪀=NaN","layer":3},{"info":"⊀NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⋂NaN=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"∑⇻≧((⫶⊄≣$1759$)≎⊠⪸(⫯$2272$))⨚⇆(⫖→$2008$)⋣⋖$1664$⊬⨰$2211$","expression":"∑⇻≧((⫶⊄≣⋰*⋻135A)≎⊠⪸(⫯⋰*⋻1786))⨚⇆(⫖→⋰*⋻1566)⋣⋖⋰*⋻1283⊬⨰⋰*⋻1730","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4559,"operation_count":8,"complexity_ratio":569.875,"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":1759,"base":11}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":2272,"base":11}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2008,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1664,"base":11},"right_expr":{"type":"numeric_atoms","value":2211,"base":11}}}}},"used_operators":["l1M9WJ3V7u","lwHaAYXP2r","bJkvcejdHO","wxb3vTeyAj","H6BK1Evt7c","J0M6qkBnIM","U4ylXWHChL","s3Fd5m9Dh2"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻-705","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=55721809","layer":3},{"info":"number node, value=2272","layer":4},{"info":"compute unary expreesion, input=2272, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-80636","layer":3},{"info":"compute binary expreesion, left_input=55721809, right_input=-80636, 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=2008","layer":4},{"info":"compute unary expreesion, input=2008, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=1664","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=2211, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9452","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=9452, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=177","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=177, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":11,"result_base":11,"text":"∑⇻≧((⫶⊄≣⋰*⋻135A)≎⊠⪸(⫯⋰*⋻1786))⨚⇆(⫖→⋰*⋻1566)⋣⋖⋰*⋻1283⊬⨰⋰*⋻1730=⋰*⋻-705","reverse_text":"⋰*⋻-705=∑⇻≧((⫶⊄≣⋰*⋻135A)≎⊠⪸(⫯⋰*⋻1786))⨚⇆(⫖→⋰*⋻1566)⋣⋖⋰*⋻1283⊬⨰⋰*⋻1730","cot":[{"info":"⫶⊄≣⋰*⋻135A=⋰*⋻294A9690","layer":3},{"info":"⫯⋰*⋻1786=⋰*⋻-55646","layer":3},{"info":"⋰*⋻294A9690≎⊠⪸⋰*⋻-55646=⋰*⋻61","layer":2},{"info":"⫖→⋰*⋻1566=⋰*⋻151","layer":3},{"info":"⋰*⋻1283⊬⨰⋰*⋻1730=⋰*⋻7113","layer":3},{"info":"⋰*⋻151⋣⋖⋰*⋻7113=⋰*⋻151","layer":2},{"info":"⋰*⋻61⨚⇆⋰*⋻151=NaN","layer":1},{"info":"∑⇻≧NaN=⋰*⋻-705","layer":0}]}
{"id":47,"expression_no_base_symbol":"(≋(($4501$⊍⩺⋍$1736$)⇮⋭$2624$∼$4898$))⪭(($3861$⪁$3905$↰)⪐)","expression":"(≋((⋰*⋻3422⊍⩺⋍⋰*⋻1339)⇮⋭⋰*⋻1A76∼⋰*⋻3753))⪭((⋰*⋻29A0⪁⋰*⋻2A30↰)⪐)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4309455,"operation_count":8,"complexity_ratio":538681.875,"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":4501,"base":11},"right_expr":{"type":"numeric_atoms","value":1736,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2624,"base":11},"right_expr":{"type":"numeric_atoms","value":4898,"base":11}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3861,"base":11},"right_expr":{"type":"numeric_atoms","value":3905,"base":11}}}}},"used_operators":["j9kHMeSvPp","61wBmkZwlr","vkpjKywKVM","OXDGMFPWZM","DyGG3AbaNP","eH2TOUuTDT","bl5wxAcryP","I7sXao9hZE"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","7j4O788W3g","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","Z2TMIBDE3Q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⋰*⋻-1AA","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4501","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=1736, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2624","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=2624, right_input=4898, 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 = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=67","layer":1},{"info":"number node, value=3861","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=3905, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', 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=67, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-241","layer":0}],"base":11,"result_base":11,"text":"(≋((⋰*⋻3422⊍⩺⋍⋰*⋻1339)⇮⋭⋰*⋻1A76∼⋰*⋻3753))⪭((⋰*⋻29A0⪁⋰*⋻2A30↰)⪐)=⋰*⋻-1AA","reverse_text":"⋰*⋻-1AA=(≋((⋰*⋻3422⊍⩺⋍⋰*⋻1339)⇮⋭⋰*⋻1A76∼⋰*⋻3753))⪭((⋰*⋻29A0⪁⋰*⋻2A30↰)⪐)","cot":[{"info":"⋰*⋻3422⊍⩺⋍⋰*⋻1339=NaN","layer":3},{"info":"⋰*⋻1A76∼⋰*⋻3753=NaN","layer":3},{"info":"NaN⇮⋭NaN=⋰*⋻61","layer":2},{"info":"≋⋰*⋻61=⋰*⋻61","layer":1},{"info":"⋰*⋻29A0⪁⋰*⋻2A30=NaN","layer":3},{"info":"NaN↰=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⋰*⋻61⪭NaN=⋰*⋻-1AA","layer":0}]}
{"id":48,"expression_no_base_symbol":"⨈⫕(⨝⨆$6703$)≎⪠($1433$≒∊$2613$)⨓($1605$⪘⫢$5579$)∛($1245$⪍↜⋙$3836$)","expression":"⨈⫕(⨝⨆⋰*⋻5044)≎⪠(⋰*⋻1093≒∊⋰*⋻1A66)⨓(⋰*⋻122A⪘⫢⋰*⋻4212)∛(⋰*⋻A32⪍↜⋙⋰*⋻2978)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19656,"operation_count":8,"complexity_ratio":2457.0,"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":6703,"base":11}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1433,"base":11},"right_expr":{"type":"numeric_atoms","value":2613,"base":11}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1605,"base":11},"right_expr":{"type":"numeric_atoms","value":5579,"base":11}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1245,"base":11},"right_expr":{"type":"numeric_atoms","value":3836,"base":11}}}}},"used_operators":["megm06wKyl","3ViojmjbAp","aNhz54LH3e","bQ67fsrMVf","5KTvxBwnZo","w2537kitQq","oacrs7FA3X","L05ObWFQCd"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","tifHPKVTfV","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6703","layer":4},{"info":"compute unary expreesion, input=6703, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=6494","layer":3},{"info":"number node, value=1433","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=2613, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-949","layer":3},{"info":"compute binary expreesion, left_input=6494, right_input=-949, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=1605","layer":4},{"info":"number node, value=5579","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=5579, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3086","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=3836","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=3836, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-14680","layer":3},{"info":"compute binary expreesion, left_input=3086, right_input=-14680, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=67, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-70","layer":1},{"info":"compute unary expreesion, input=-70, 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":11,"result_base":11,"text":"⨈⫕(⨝⨆⋰*⋻5044)≎⪠(⋰*⋻1093≒∊⋰*⋻1A66)⨓(⋰*⋻122A⪘⫢⋰*⋻4212)∛(⋰*⋻A32⪍↜⋙⋰*⋻2978)=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=⨈⫕(⨝⨆⋰*⋻5044)≎⪠(⋰*⋻1093≒∊⋰*⋻1A66)⨓(⋰*⋻122A⪘⫢⋰*⋻4212)∛(⋰*⋻A32⪍↜⋙⋰*⋻2978)","cot":[{"info":"⨝⨆⋰*⋻5044=⋰*⋻4974","layer":3},{"info":"⋰*⋻1093≒∊⋰*⋻1A66=⋰*⋻-793","layer":3},{"info":"⋰*⋻4974≎⪠⋰*⋻-793=⋰*⋻13770","layer":2},{"info":"⋰*⋻122A⪘⫢⋰*⋻4212=⋰*⋻2356","layer":3},{"info":"⋰*⋻A32⪍↜⋙⋰*⋻2978=⋰*⋻-10036","layer":3},{"info":"⋰*⋻2356∛⋰*⋻-10036=⋰*⋻61","layer":2},{"info":"⋰*⋻13770⨓⋰*⋻61=⋰*⋻-64","layer":1},{"info":"⨈⫕⋰*⋻-64=⋰*⋻-1A","layer":0}]}
{"id":49,"expression_no_base_symbol":"(∓⪦(≦∁$4023$∊∟⩊$4007$))⨸⪁(⨭⩧⫛($1183$⊝⪿⪼$6256$)⨂≜($1054$⪉⨛$3390$))","expression":"(∓⪦(≦∁⋰*⋻3028∊∟⩊⋰*⋻3013))⨸⪁(⨭⩧⫛(⋰*⋻986⊝⪿⪼⋰*⋻4778)⨂≜(⋰*⋻879⪉⨛⋰*⋻2602))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30088,"operation_count":8,"complexity_ratio":3761.0,"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":4023,"base":11},"right_expr":{"type":"numeric_atoms","value":4007,"base":11}}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1183,"base":11},"right_expr":{"type":"numeric_atoms","value":6256,"base":11}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1054,"base":11},"right_expr":{"type":"numeric_atoms","value":3390,"base":11}}}}},"used_operators":["g55IO6H4Gj","D309nIvmXG","9ICcGScMcE","ddLRYrp01A","g21JL6JxX7","k1SHOSEABc","3Oe9XWJUTD","EWw2JM7wp4"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4023","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=4023, right_input=4007, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4007","layer":3},{"info":"compute unary expreesion, input=4007, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4007","layer":2},{"info":"compute unary expreesion, input=4007, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=3599","layer":1},{"info":"number node, value=1183","layer":4},{"info":"number node, value=6256","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=6256, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=27677","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=3390","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=3390, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-13","layer":3},{"info":"compute binary expreesion, left_input=27677, right_input=-13, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3599, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∓⪦(≦∁⋰*⋻3028∊∟⩊⋰*⋻3013))⨸⪁(⨭⩧⫛(⋰*⋻986⊝⪿⪼⋰*⋻4778)⨂≜(⋰*⋻879⪉⨛⋰*⋻2602))=NaN","reverse_text":"NaN=(∓⪦(≦∁⋰*⋻3028∊∟⩊⋰*⋻3013))⨸⪁(⨭⩧⫛(⋰*⋻986⊝⪿⪼⋰*⋻4778)⨂≜(⋰*⋻879⪉⨛⋰*⋻2602))","cot":[{"info":"⋰*⋻3028∊∟⩊⋰*⋻3013=⋰*⋻3013","layer":3},{"info":"≦∁⋰*⋻3013=⋰*⋻3013","layer":2},{"info":"∓⪦⋰*⋻3013=⋰*⋻2782","layer":1},{"info":"⋰*⋻986⊝⪿⪼⋰*⋻4778=⋰*⋻19881","layer":3},{"info":"⋰*⋻879⪉⨛⋰*⋻2602=⋰*⋻-12","layer":3},{"info":"⋰*⋻19881⨂≜⋰*⋻-12=NaN","layer":2},{"info":"⨭⩧⫛NaN=NaN","layer":1},{"info":"⋰*⋻2782⨸⪁NaN=NaN","layer":0}]}
{"id":50,"expression_no_base_symbol":"($7133$≴⪞⇿$1038$⫘$2531$⫁⪎$4404$∴≳≥)⪒((↑$2300$)⨚(↯⪼$2190$)∪⫐($3599$⫲≸⪮$2098$)⪢(⪫⨮⊛$1076$))","expression":"(⋰*⋻53A5≴⪞⇿⋰*⋻864⫘⋰*⋻19A1⫁⪎⋰*⋻3344∴≳≥)⪒((↑⋰*⋻1801)⨚(↯⪼⋰*⋻1711)∪⫐(⋰*⋻2782⫲≸⪮⋰*⋻1638)⪢(⪫⨮⊛⋰*⋻899))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18145,"operation_count":12,"complexity_ratio":1512.0833333333333,"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":7133,"base":11},"right_expr":{"type":"numeric_atoms","value":1038,"base":11}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2531,"base":11},"right_expr":{"type":"numeric_atoms","value":4404,"base":11}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2300,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2190,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3599,"base":11},"right_expr":{"type":"numeric_atoms","value":2098,"base":11}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1076,"base":11}}}}},"used_operators":["f6k1SAg4EE","a3N2hFLK0J","48vC8HMD2b","lvlrscuwVU","xRrnTEsQ6j","7YooWSwCyH","nREPSIbpBE","tR7O2zTn5j","8jW3W4yZS5","dWAJyo7jo9","P3lXMJvFrc","w5FWba1tyO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","BjRHVeLaeN","12rbrZMWeM","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7133","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=7133, right_input=1038, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=94119434","layer":3},{"info":"number node, value=2531","layer":4},{"info":"number node, value=4404","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=4404, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1873","layer":3},{"info":"compute binary expreesion, left_input=94119434, right_input=-1873, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=nan","layer":1},{"info":"number node, value=2300","layer":4},{"info":"compute unary expreesion, input=2300, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=2190","layer":4},{"info":"compute unary expreesion, input=2190, 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=192, right_input=-21, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1402","layer":2},{"info":"number node, value=3599","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=2098, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3599","layer":3},{"info":"number node, value=1076","layer":4},{"info":"compute unary expreesion, input=1076, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1076","layer":3},{"info":"compute binary expreesion, left_input=3599, right_input=1076, 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=1402, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1402","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1402, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻53A5≴⪞⇿⋰*⋻864⫘⋰*⋻19A1⫁⪎⋰*⋻3344∴≳≥)⪒((↑⋰*⋻1801)⨚(↯⪼⋰*⋻1711)∪⫐(⋰*⋻2782⫲≸⪮⋰*⋻1638)⪢(⪫⨮⊛⋰*⋻899))=NaN","reverse_text":"NaN=(⋰*⋻53A5≴⪞⇿⋰*⋻864⫘⋰*⋻19A1⫁⪎⋰*⋻3344∴≳≥)⪒((↑⋰*⋻1801)⨚(↯⪼⋰*⋻1711)∪⫐(⋰*⋻2782⫲≸⪮⋰*⋻1638)⪢(⪫⨮⊛⋰*⋻899))","cot":[{"info":"⋰*⋻53A5≴⪞⇿⋰*⋻864=⋰*⋻49145362","layer":3},{"info":"⋰*⋻19A1⫁⪎⋰*⋻3344=⋰*⋻-1453","layer":3},{"info":"⋰*⋻49145362⫘⋰*⋻-1453=NaN","layer":2},{"info":"NaN∴≳≥=NaN","layer":1},{"info":"↑⋰*⋻1801=⋰*⋻165","layer":3},{"info":"↯⪼⋰*⋻1711=⋰*⋻-1A","layer":3},{"info":"⋰*⋻165⨚⋰*⋻-1A=⋰*⋻1065","layer":2},{"info":"⋰*⋻2782⫲≸⪮⋰*⋻1638=⋰*⋻2782","layer":3},{"info":"⪫⨮⊛⋰*⋻899=⋰*⋻899","layer":3},{"info":"⋰*⋻2782⪢⋰*⋻899=NaN","layer":2},{"info":"⋰*⋻1065∪⫐NaN=⋰*⋻1065","layer":1},{"info":"NaN⪒⋰*⋻1065=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"((($2839$⨸⪁$1523$)⇗⋫)⊭↱($1073$≃⋄)≄⊠(→⩰$5182$))⫢⨠($1186$%$1042$)⪎↠($1012$⨻⩈⩔$2110$)↳∿⪆($2352$≨$2788$∩⋅)","expression":"(((⋰*⋻2151⨸⪁⋰*⋻1165)⇗⋫)⊭↱(⋰*⋻896≃⋄)≄⊠(→⩰⋰*⋻3991))⫢⨠(⋰*⋻989%⋰*⋻868)⪎↠(⋰*⋻840⨻⩈⩔⋰*⋻1649)↳∿⪆(⋰*⋻1849≨⋰*⋻2105∩⋅)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8287,"operation_count":13,"complexity_ratio":637.4615384615385,"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":2839,"base":11},"right_expr":{"type":"numeric_atoms","value":1523,"base":11}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1073,"base":11}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":5182,"base":11}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1186,"base":11},"right_expr":{"type":"numeric_atoms","value":1042,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1012,"base":11},"right_expr":{"type":"numeric_atoms","value":2110,"base":11}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2352,"base":11},"right_expr":{"type":"numeric_atoms","value":2788,"base":11}}}}},"used_operators":["xlXykHWxX1","COABgblf1C","hpqmaQFPrd","g55IO6H4Gj","vXNesLlMH1","aN9a90urxU","o8Pngz0Tml","Cw4SuJJGHO","3tVxb0NHM4","k8jYdgA6NY","nEsXyWgiOK","2MzE1hQ0cz","0KMCeP1Jsh"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","W4YGzv6Whe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","uFcxV4UQCh","jLgFTUHLKL","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Qy55tPpLXF","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2839","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=1523, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8724","layer":3},{"info":"compute unary expreesion, input=8724, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=5182","layer":4},{"info":"compute unary expreesion, input=5182, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1186","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1042, op_id = k8jYdgA6NY binary_op_definition= 'None', output=144","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2110, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=144, right_input=-174, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1012","layer":2},{"info":"number node, value=2352","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=2788, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-21044","layer":3},{"info":"compute unary expreesion, input=-21044, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=1012, right_input=67, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2151⨸⪁⋰*⋻1165)⇗⋫)⊭↱(⋰*⋻896≃⋄)≄⊠(→⩰⋰*⋻3991))⫢⨠(⋰*⋻989%⋰*⋻868)⪎↠(⋰*⋻840⨻⩈⩔⋰*⋻1649)↳∿⪆(⋰*⋻1849≨⋰*⋻2105∩⋅)=NaN","reverse_text":"NaN=(((⋰*⋻2151⨸⪁⋰*⋻1165)⇗⋫)⊭↱(⋰*⋻896≃⋄)≄⊠(→⩰⋰*⋻3991))⫢⨠(⋰*⋻989%⋰*⋻868)⪎↠(⋰*⋻840⨻⩈⩔⋰*⋻1649)↳∿⪆(⋰*⋻1849≨⋰*⋻2105∩⋅)","cot":[{"info":"⋰*⋻2151⨸⪁⋰*⋻1165=⋰*⋻6611","layer":3},{"info":"⋰*⋻6611⇗⋫=NaN","layer":2},{"info":"⋰*⋻896≃⋄=⋰*⋻635","layer":3},{"info":"→⩰⋰*⋻3991=NaN","layer":3},{"info":"⋰*⋻635≄⊠NaN=⋰*⋻1144","layer":2},{"info":"NaN⊭↱⋰*⋻1144=NaN","layer":1},{"info":"⋰*⋻989%⋰*⋻868=⋰*⋻121","layer":3},{"info":"⋰*⋻840⨻⩈⩔⋰*⋻1649=⋰*⋻-149","layer":3},{"info":"⋰*⋻121⪎↠⋰*⋻-149=⋰*⋻840","layer":2},{"info":"⋰*⋻1849≨⋰*⋻2105=⋰*⋻-148A1","layer":3},{"info":"⋰*⋻-148A1∩⋅=⋰*⋻61","layer":2},{"info":"⋰*⋻840↳∿⪆⋰*⋻61=NaN","layer":1},{"info":"NaN⫢⨠NaN=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"($4283$⊋≦⊧$3825$)∳⫺(+⊝⨔$1578$)⊋≦⊧(⫓⪴$3773$)⋾⨃∁($1044$⩒⫫$1430$)≎⊠⪸(∓⪦(⇖⫷⫕$2320$))⋣⋖((≅≯⇸$3472$)⩁)","expression":"(⋰*⋻3244⊋≦⊧⋰*⋻2968)∳⫺(+⊝⨔⋰*⋻1205)⊋≦⊧(⫓⪴⋰*⋻2920)⋾⨃∁(⋰*⋻86A⩒⫫⋰*⋻1090)≎⊠⪸(∓⪦(⇖⫷⫕⋰*⋻181A))⋣⋖((≅≯⇸⋰*⋻2677)⩁)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5706,"operation_count":13,"complexity_ratio":438.9230769230769,"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":4283,"base":11},"right_expr":{"type":"numeric_atoms","value":3825,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1578,"base":11}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3773,"base":11}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":1430,"base":11}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2320,"base":11}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3472,"base":11}}}}},"used_operators":["bJkvcejdHO","oRDoc9rAEX","AzXXKTstlj","DhbWaqg5eL","212REbPD9h","eLxqMNBOBk","KFSx94NKJn","J0M6qkBnIM","D309nIvmXG","UHmRx3INFg","5GqDbVmqXU","apS25hmuAe"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9HNa5Wba9A","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","EBcxylXtPf","QMFrweE19q"],"result":"⋰*⋻34008","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4283","layer":4},{"info":"number node, value=3825","layer":4},{"info":"compute binary expreesion, left_input=4283, right_input=3825, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7410","layer":3},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, 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=-7410, right_input=1522, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-32622","layer":2},{"info":"number node, value=3773","layer":4},{"info":"compute unary expreesion, input=3773, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=14235529","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1430, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=742","layer":3},{"info":"compute binary expreesion, left_input=14235529, right_input=742, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=5496642","layer":2},{"info":"compute binary expreesion, left_input=-32622, right_input=5496642, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":1},{"info":"number node, value=2320","layer":4},{"info":"compute unary expreesion, input=2320, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2414","layer":2},{"info":"number node, value=3472","layer":4},{"info":"compute unary expreesion, input=3472, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=21565","layer":3},{"info":"compute unary expreesion, input=21565, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-169740","layer":2},{"info":"compute binary expreesion, left_input=2414, right_input=-169740, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2414","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=2414, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=49255","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3244⊋≦⊧⋰*⋻2968)∳⫺(+⊝⨔⋰*⋻1205)⊋≦⊧(⫓⪴⋰*⋻2920)⋾⨃∁(⋰*⋻86A⩒⫫⋰*⋻1090)≎⊠⪸(∓⪦(⇖⫷⫕⋰*⋻181A))⋣⋖((≅≯⇸⋰*⋻2677)⩁)=⋰*⋻34008","reverse_text":"⋰*⋻34008=(⋰*⋻3244⊋≦⊧⋰*⋻2968)∳⫺(+⊝⨔⋰*⋻1205)⊋≦⊧(⫓⪴⋰*⋻2920)⋾⨃∁(⋰*⋻86A⩒⫫⋰*⋻1090)≎⊠⪸(∓⪦(⇖⫷⫕⋰*⋻181A))⋣⋖((≅≯⇸⋰*⋻2677)⩁)","cot":[{"info":"⋰*⋻3244⊋≦⊧⋰*⋻2968=⋰*⋻-5627","layer":3},{"info":"+⊝⨔⋰*⋻1205=⋰*⋻1164","layer":3},{"info":"⋰*⋻-5627∳⫺⋰*⋻1164=⋰*⋻-22567","layer":2},{"info":"⫓⪴⋰*⋻2920=⋰*⋻8043400","layer":3},{"info":"⋰*⋻86A⩒⫫⋰*⋻1090=⋰*⋻615","layer":3},{"info":"⋰*⋻8043400⋾⨃∁⋰*⋻615=⋰*⋻3114788","layer":2},{"info":"⋰*⋻-22567⊋≦⊧⋰*⋻3114788=⋰*⋻165","layer":1},{"info":"⇖⫷⫕⋰*⋻181A=⋰*⋻2136","layer":3},{"info":"∓⪦⋰*⋻2136=⋰*⋻18A5","layer":2},{"info":"≅≯⇸⋰*⋻2677=⋰*⋻15225","layer":3},{"info":"⋰*⋻15225⩁=⋰*⋻-10658A","layer":2},{"info":"⋰*⋻18A5⋣⋖⋰*⋻-10658A=⋰*⋻18A5","layer":1},{"info":"⋰*⋻165≎⊠⪸⋰*⋻18A5=⋰*⋻34008","layer":0}]}
{"id":53,"expression_no_base_symbol":"(($1809$≄⊠$3810$)↹⊜($3202$∕⩚$4522$)⩤)⇣⩺⋵($2784$⪢$3542$⫒⫫($3710$⫌⩹⨱))⨼⩣(($1174$⫩)⇯⋐)","expression":"((⋰*⋻13A5≄⊠⋰*⋻2954)↹⊜(⋰*⋻2451∕⩚⋰*⋻3441)⩤)⇣⩺⋵(⋰*⋻2101⪢⋰*⋻2730⫒⫫(⋰*⋻2873⫌⩹⨱))⨼⩣((⋰*⋻978⫩)⇯⋐)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8464,"operation_count":11,"complexity_ratio":769.4545454545455,"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":1809,"base":11},"right_expr":{"type":"numeric_atoms","value":3810,"base":11}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3202,"base":11},"right_expr":{"type":"numeric_atoms","value":4522,"base":11}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2784,"base":11},"right_expr":{"type":"numeric_atoms","value":3542,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3710,"base":11}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1174,"base":11}}}}},"used_operators":["F4yD0voBRQ","Z2TMIBDE3Q","9bazX3JMtO","vXNesLlMH1","z9ffQ9n5Zr","JxwMv5le6e","6Ko8hGgeMq","dWAJyo7jo9","EBcxylXtPf","LkLIoiE525","6aG7x05OhS"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","dWAJyo7jo9"],"result":"⋰*⋻-217","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1809","layer":4},{"info":"number node, value=3810","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=3810, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=65628","layer":3},{"info":"number node, value=3202","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=4522, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3205","layer":3},{"info":"compute binary expreesion, left_input=65628, right_input=-3205, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=143980","layer":2},{"info":"compute unary expreesion, input=143980, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-143980","layer":1},{"info":"number node, value=2784","layer":4},{"info":"number node, value=3542","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=3542, 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=3710","layer":4},{"info":"compute unary expreesion, input=3710, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8821","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8821, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-143980, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻13A5≄⊠⋰*⋻2954)↹⊜(⋰*⋻2451∕⩚⋰*⋻3441)⩤)⇣⩺⋵(⋰*⋻2101⪢⋰*⋻2730⫒⫫(⋰*⋻2873⫌⩹⨱))⨼⩣((⋰*⋻978⫩)⇯⋐)=⋰*⋻-217","reverse_text":"⋰*⋻-217=((⋰*⋻13A5≄⊠⋰*⋻2954)↹⊜(⋰*⋻2451∕⩚⋰*⋻3441)⩤)⇣⩺⋵(⋰*⋻2101⪢⋰*⋻2730⫒⫫(⋰*⋻2873⫌⩹⨱))⨼⩣((⋰*⋻978⫩)⇯⋐)","cot":[{"info":"⋰*⋻13A5≄⊠⋰*⋻2954=⋰*⋻45342","layer":3},{"info":"⋰*⋻2451∕⩚⋰*⋻3441=⋰*⋻-2454","layer":3},{"info":"⋰*⋻45342↹⊜⋰*⋻-2454=⋰*⋻991A1","layer":2},{"info":"⋰*⋻991A1⩤=⋰*⋻-991A1","layer":1},{"info":"⋰*⋻2101⪢⋰*⋻2730=NaN","layer":3},{"info":"⋰*⋻2873⫌⩹⨱=⋰*⋻669A","layer":3},{"info":"NaN⫒⫫⋰*⋻669A=NaN","layer":2},{"info":"⋰*⋻978⫩=NaN","layer":3},{"info":"NaN⇯⋐=NaN","layer":2},{"info":"NaN⨼⩣NaN=NaN","layer":1},{"info":"⋰*⋻-991A1⇣⩺⋵NaN=⋰*⋻-217","layer":0}]}
{"id":54,"expression_no_base_symbol":"(($5201$⪷)/$3343$∴$7652$)→⨶⪴(⊿$1520$↬$6940$)≃(⊙↵-($1566$+⇶⊼$3352$))⊴($1068$∼$2070$↬⩅∪)","expression":"((⋰*⋻39A9⪷)/⋰*⋻256A∴⋰*⋻5827)→⨶⪴(⊿⋰*⋻1162↬⋰*⋻523A)≃(⊙↵-(⋰*⋻11A4+⇶⊼⋰*⋻2578))⊴(⋰*⋻891∼⋰*⋻1612↬⩅∪)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5325,"operation_count":12,"complexity_ratio":443.75,"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":5201,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3343,"base":11},"right_expr":{"type":"numeric_atoms","value":7652,"base":11}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1520,"base":11},"right_expr":{"type":"numeric_atoms","value":6940,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1566,"base":11},"right_expr":{"type":"numeric_atoms","value":3352,"base":11}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1068,"base":11},"right_expr":{"type":"numeric_atoms","value":2070,"base":11}}}}},"used_operators":["YbVcJGFEVW","bF6eod5Gvf","XhwjNDsVaA","Qctrpi3WzA","hrf7POJlIJ","DO4fhlbJSI","B5M0gjZbta","Nsiff2A1zJ","oWn0xqSxBt","TpPTUOHfaN","VJ330n2nnx","DyGG3AbaNP"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","Nsiff2A1zJ","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5201","layer":4},{"info":"compute unary expreesion, input=5201, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=3343","layer":4},{"info":"number node, value=7652","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=7652, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8334","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8334, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1520","layer":4},{"info":"number node, value=6940","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=6940, 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 = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"number node, value=1566","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=1566, 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":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=1068","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=2070, 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 = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , 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 binary expreesion, left_input=nan, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻39A9⪷)/⋰*⋻256A∴⋰*⋻5827)→⨶⪴(⊿⋰*⋻1162↬⋰*⋻523A)≃(⊙↵-(⋰*⋻11A4+⇶⊼⋰*⋻2578))⊴(⋰*⋻891∼⋰*⋻1612↬⩅∪)=NaN","reverse_text":"NaN=((⋰*⋻39A9⪷)/⋰*⋻256A∴⋰*⋻5827)→⨶⪴(⊿⋰*⋻1162↬⋰*⋻523A)≃(⊙↵-(⋰*⋻11A4+⇶⊼⋰*⋻2578))⊴(⋰*⋻891∼⋰*⋻1612↬⩅∪)","cot":[{"info":"⋰*⋻39A9⪷=NaN","layer":3},{"info":"⋰*⋻256A∴⋰*⋻5827=⋰*⋻6297","layer":3},{"info":"NaN/⋰*⋻6297=NaN","layer":2},{"info":"⋰*⋻1162↬⋰*⋻523A=NaN","layer":3},{"info":"⊿NaN=NaN","layer":2},{"info":"NaN→⨶⪴NaN=NaN","layer":1},{"info":"⋰*⋻11A4+⇶⊼⋰*⋻2578=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⋰*⋻891∼⋰*⋻1612=NaN","layer":3},{"info":"NaN↬⩅∪=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"NaN≃NaN=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"(≋($3129$≨$4347$∷$7523$⪕$6509$))≨($3166$↢$1019$⪮%⊝($1233$⫻⋑⊟))⊉↱≁($1796$⫸⇳$4594$)⨔⇊($2444$⨑≵⋬$1664$)","expression":"(≋(⋰*⋻2395≨⋰*⋻32A2∷⋰*⋻571A⪕⋰*⋻4988))≨(⋰*⋻2419↢⋰*⋻847⪮%⊝(⋰*⋻A21⫻⋑⊟))⊉↱≁(⋰*⋻1393⫸⇳⋰*⋻34A7)⨔⇊(⋰*⋻1922⨑≵⋬⋰*⋻1283)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":249,"operation_count":12,"complexity_ratio":20.75,"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":3129,"base":11},"right_expr":{"type":"numeric_atoms","value":4347,"base":11}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":7523,"base":11},"right_expr":{"type":"numeric_atoms","value":6509,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3166,"base":11},"right_expr":{"type":"numeric_atoms","value":1019,"base":11}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1233,"base":11}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1796,"base":11},"right_expr":{"type":"numeric_atoms","value":4594,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2444,"base":11},"right_expr":{"type":"numeric_atoms","value":1664,"base":11}}}}},"used_operators":["0KMCeP1Jsh","61wBmkZwlr","D3AQDKkPcf","umQnsF7QlU","w2P8NbNXyL","IWmyXbctLI","WR6HLWljOP","o575Zjdmzy","JclMnS0uGI","gx7XJ7hdpj","XnXgA4xnOs"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","7j4O788W3g","9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋰*⋻-6305A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3129","layer":4},{"info":"number node, value=4347","layer":4},{"info":"compute binary expreesion, left_input=3129, right_input=4347, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-28814","layer":3},{"info":"number node, value=7523","layer":4},{"info":"number node, value=6509","layer":4},{"info":"compute binary expreesion, left_input=7523, right_input=6509, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9438","layer":3},{"info":"compute binary expreesion, left_input=-28814, right_input=9438, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=9438","layer":2},{"info":"compute unary expreesion, input=9438, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=9438","layer":1},{"info":"number node, value=3166","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=1019, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2682","layer":3},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-1956","layer":3},{"info":"compute binary expreesion, left_input=2682, right_input=-1956, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5680","layer":2},{"info":"number node, value=1796","layer":4},{"info":"number node, value=4594","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=4594, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2444","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=1664, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1951","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1951, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1951","layer":2},{"info":"compute binary expreesion, left_input=5680, right_input=1951, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=45042","layer":1},{"info":"compute binary expreesion, left_input=9438, right_input=45042, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-91904","layer":0}],"base":11,"result_base":11,"text":"(≋(⋰*⋻2395≨⋰*⋻32A2∷⋰*⋻571A⪕⋰*⋻4988))≨(⋰*⋻2419↢⋰*⋻847⪮%⊝(⋰*⋻A21⫻⋑⊟))⊉↱≁(⋰*⋻1393⫸⇳⋰*⋻34A7)⨔⇊(⋰*⋻1922⨑≵⋬⋰*⋻1283)=⋰*⋻-6305A","reverse_text":"⋰*⋻-6305A=(≋(⋰*⋻2395≨⋰*⋻32A2∷⋰*⋻571A⪕⋰*⋻4988))≨(⋰*⋻2419↢⋰*⋻847⪮%⊝(⋰*⋻A21⫻⋑⊟))⊉↱≁(⋰*⋻1393⫸⇳⋰*⋻34A7)⨔⇊(⋰*⋻1922⨑≵⋬⋰*⋻1283)","cot":[{"info":"⋰*⋻2395≨⋰*⋻32A2=⋰*⋻-1A715","layer":3},{"info":"⋰*⋻571A⪕⋰*⋻4988=⋰*⋻7100","layer":3},{"info":"⋰*⋻-1A715∷⋰*⋻7100=⋰*⋻7100","layer":2},{"info":"≋⋰*⋻7100=⋰*⋻7100","layer":1},{"info":"⋰*⋻2419↢⋰*⋻847=⋰*⋻2019","layer":3},{"info":"⋰*⋻A21⫻⋑⊟=⋰*⋻-1519","layer":3},{"info":"⋰*⋻2019⪮%⊝⋰*⋻-1519=⋰*⋻42A4","layer":2},{"info":"⋰*⋻1393⫸⇳⋰*⋻34A7=⋰*⋻0","layer":3},{"info":"⋰*⋻1922⨑≵⋬⋰*⋻1283=⋰*⋻1514","layer":3},{"info":"⋰*⋻0⨔⇊⋰*⋻1514=⋰*⋻1514","layer":2},{"info":"⋰*⋻42A4⊉↱≁⋰*⋻1514=⋰*⋻30928","layer":1},{"info":"⋰*⋻7100≨⋰*⋻30928=⋰*⋻-6305A","layer":0}]}
{"id":56,"expression_no_base_symbol":"(($6274$⊬⨰$1624$)⨜⨶($2208$⨎⋸⪻)⫩⊇)⋅⇍($4720$⇡⇂$5537$↢($7847$⊾⪯⋞$1184$)⩨(⋎⨆$7690$%$3095$))","expression":"((⋰*⋻4794⊬⨰⋰*⋻1247)⨜⨶(⋰*⋻1728⨎⋸⪻)⫩⊇)⋅⇍(⋰*⋻3601⇡⇂⋰*⋻4184↢(⋰*⋻5994⊾⪯⋞⋰*⋻987)⩨(⋎⨆⋰*⋻5861%⋰*⋻2364))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27603,"operation_count":11,"complexity_ratio":2509.3636363636365,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6274,"base":11},"right_expr":{"type":"numeric_atoms","value":1624,"base":11}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":2208,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4720,"base":11},"right_expr":{"type":"numeric_atoms","value":5537,"base":11}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":7847,"base":11},"right_expr":{"type":"numeric_atoms","value":1184,"base":11}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7690,"base":11},"right_expr":{"type":"numeric_atoms","value":3095,"base":11}}}}},"used_operators":["AdZkA7nFnk","BjRHVeLaeN","HiPekx5b7W","s3Fd5m9Dh2","Dk5vyLCiGd","2DlMacCsIx","WR6HLWljOP","UMwdvZNt44","HK0tfVPux8","E64sFOc4tB","k8jYdgA6NY"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","IWmyXbctLI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rysDP5nf3Z"],"result":"⋰*⋻-7420","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6274","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=6274, right_input=1624, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11714","layer":3},{"info":"number node, value=2208","layer":4},{"info":"compute unary expreesion, input=2208, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=4732","layer":3},{"info":"compute binary expreesion, left_input=11714, right_input=4732, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-9208","layer":2},{"info":"compute unary expreesion, input=-9208, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=9250","layer":1},{"info":"number node, value=4720","layer":4},{"info":"number node, value=5537","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=5537, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=7847","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=7847, right_input=1184, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1942","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1942, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"number node, value=7690","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=7690, right_input=3095, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1500","layer":3},{"info":"compute unary expreesion, input=1500, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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=9250, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-9823","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4794⊬⨰⋰*⋻1247)⨜⨶(⋰*⋻1728⨎⋸⪻)⫩⊇)⋅⇍(⋰*⋻3601⇡⇂⋰*⋻4184↢(⋰*⋻5994⊾⪯⋞⋰*⋻987)⩨(⋎⨆⋰*⋻5861%⋰*⋻2364))=⋰*⋻-7420","reverse_text":"⋰*⋻-7420=((⋰*⋻4794⊬⨰⋰*⋻1247)⨜⨶(⋰*⋻1728⨎⋸⪻)⫩⊇)⋅⇍(⋰*⋻3601⇡⇂⋰*⋻4184↢(⋰*⋻5994⊾⪯⋞⋰*⋻987)⩨(⋎⨆⋰*⋻5861%⋰*⋻2364))","cot":[{"info":"⋰*⋻4794⊬⨰⋰*⋻1247=⋰*⋻888A","layer":3},{"info":"⋰*⋻1728⨎⋸⪻=⋰*⋻3612","layer":3},{"info":"⋰*⋻888A⨜⨶⋰*⋻3612=⋰*⋻-6A11","layer":2},{"info":"⋰*⋻-6A11⫩⊇=⋰*⋻6A4A","layer":1},{"info":"⋰*⋻3601⇡⇂⋰*⋻4184=NaN","layer":3},{"info":"⋰*⋻5994⊾⪯⋞⋰*⋻987=⋰*⋻1506","layer":3},{"info":"NaN↢⋰*⋻1506=NaN","layer":2},{"info":"⋰*⋻5861%⋰*⋻2364=⋰*⋻1144","layer":3},{"info":"⋎⨆⋰*⋻1144=⋰*⋻0","layer":2},{"info":"NaN⩨⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻6A4A⋅⇍NaN=⋰*⋻-7420","layer":0}]}
{"id":57,"expression_no_base_symbol":"(($4108$⫑%∭)⩦(≔$1018$)%(⩷⨜⫀$5651$)∀⇚≩$3268$⊱⇼⊻$2685$)≌(↸⊣((⊙↵-$1216$)≬⇓$2389$⨭⪣$3877$))","expression":"((⋰*⋻30A5⫑%∭)⩦(≔⋰*⋻846)%(⩷⨜⫀⋰*⋻4278)∀⇚≩⋰*⋻2501⊱⇼⊻⋰*⋻2021)≌(↸⊣((⊙↵-⋰*⋻A06)≬⇓⋰*⋻1882⨭⪣⋰*⋻2A05))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40136,"operation_count":12,"complexity_ratio":3344.6666666666665,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":4108,"base":11}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1018,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":5651,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3268,"base":11},"right_expr":{"type":"numeric_atoms","value":2685,"base":11}}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1216,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2389,"base":11},"right_expr":{"type":"numeric_atoms","value":3877,"base":11}}}}},"used_operators":["lyWz822IDG","k8jYdgA6NY","0kmYd0q39Y","xUx7qlDO4z","8FLs4eVsLt","LRNGc0VcxI","CDi0ktkjQ4","FyVja0WsTP","wztAlM01eG","jWTQ2TZYIH","oWn0xqSxBt","kn8WO9XteQ"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","X99M06cbEe","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⋰*⋻6905","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4108","layer":4},{"info":"compute unary expreesion, input=4108, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-27210","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-27210, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=5651","layer":4},{"info":"compute unary expreesion, input=5651, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-5378","layer":3},{"info":"number node, value=3268","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=2685, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-5378, right_input=434, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2389","layer":4},{"info":"number node, value=3877","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=3877, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1110","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1110, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻30A5⫑%∭)⩦(≔⋰*⋻846)%(⩷⨜⫀⋰*⋻4278)∀⇚≩⋰*⋻2501⊱⇼⊻⋰*⋻2021)≌(↸⊣((⊙↵-⋰*⋻A06)≬⇓⋰*⋻1882⨭⪣⋰*⋻2A05))=⋰*⋻6905","reverse_text":"⋰*⋻6905=((⋰*⋻30A5⫑%∭)⩦(≔⋰*⋻846)%(⩷⨜⫀⋰*⋻4278)∀⇚≩⋰*⋻2501⊱⇼⊻⋰*⋻2021)≌(↸⊣((⊙↵-⋰*⋻A06)≬⇓⋰*⋻1882⨭⪣⋰*⋻2A05))","cot":[{"info":"⋰*⋻30A5⫑%∭=NaN","layer":3},{"info":"≔⋰*⋻846=⋰*⋻-19497","layer":3},{"info":"NaN⩦⋰*⋻-19497=NaN","layer":2},{"info":"⩷⨜⫀⋰*⋻4278=⋰*⋻-404A","layer":3},{"info":"⋰*⋻2501⊱⇼⊻⋰*⋻2021=⋰*⋻365","layer":3},{"info":"⋰*⋻-404A∀⇚≩⋰*⋻365=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⊙↵-⋰*⋻A06=⋰*⋻-1","layer":3},{"info":"⋰*⋻1882⨭⪣⋰*⋻2A05=⋰*⋻91A","layer":3},{"info":"⋰*⋻-1≬⇓⋰*⋻91A=⋰*⋻0","layer":2},{"info":"↸⊣⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN≌⋰*⋻0=⋰*⋻6905","layer":0}]}
{"id":58,"expression_no_base_symbol":"($2469$⨜⨶$2817$⊋($1125$⪒$4327$))⫁(($2465$⇋≉)⪁$2115$≳⇉$2971$)≝⊿($1056$⨿$1323$∥⊢⊲(⩪∧⨌$1307$)⩒⫫($5155$⊉↱≁$1133$≬⋮$1836$∇⊂⋱$1229$))","expression":"(⋰*⋻1945⨜⨶⋰*⋻2131⊋(⋰*⋻933⪒⋰*⋻3284))⫁((⋰*⋻1941⇋≉)⪁⋰*⋻1653≳⇉⋰*⋻2261)≝⊿(⋰*⋻880⨿⋰*⋻AA3∥⊢⊲(⩪∧⨌⋰*⋻A89)⩒⫫(⋰*⋻3967⊉↱≁⋰*⋻940≬⋮⋰*⋻141A∇⊂⋱⋰*⋻A18))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":88554564,"operation_count":15,"complexity_ratio":5903637.6,"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":2469,"base":11},"right_expr":{"type":"numeric_atoms","value":2817,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1125,"base":11},"right_expr":{"type":"numeric_atoms","value":4327,"base":11}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2465,"base":11}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2115,"base":11},"right_expr":{"type":"numeric_atoms","value":2971,"base":11}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1056,"base":11},"right_expr":{"type":"numeric_atoms","value":1323,"base":11}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1307,"base":11}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":5155,"base":11},"right_expr":{"type":"numeric_atoms","value":1133,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1836,"base":11},"right_expr":{"type":"numeric_atoms","value":1229,"base":11}}}}},"used_operators":["OKKcZfAt5B","0ajvFaJAv0","W4tP9CfskL","HiPekx5b7W","f6k1SAg4EE","I7sXao9hZE","XIabStNQrY","V0kx6qeWkN","KFSx94NKJn","v1UQAVDJRr","abYXlopdE0","6iOiAJX1F8","kbkesczE7y","w2P8NbNXyL","nhYeJWJD5X"],"dependent_operators":["12rbrZMWeM","cHh1gJQ2o6","AHs5Up7iyr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2469","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=2817, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5378","layer":3},{"info":"number node, value=1125","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=4327, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5452","layer":3},{"info":"compute binary expreesion, left_input=-5378, right_input=-5452, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-114494","layer":2},{"info":"number node, value=2465","layer":4},{"info":"compute unary expreesion, input=2465, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4832","layer":3},{"info":"number node, value=2115","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=2971, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4832, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-114494, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=1056","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1323, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=13070","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=13070, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=5155","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=5155, right_input=1133, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=44700","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=1229, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3126","layer":3},{"info":"compute binary expreesion, left_input=44700, right_input=3126, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1945⨜⨶⋰*⋻2131⊋(⋰*⋻933⪒⋰*⋻3284))⫁((⋰*⋻1941⇋≉)⪁⋰*⋻1653≳⇉⋰*⋻2261)≝⊿(⋰*⋻880⨿⋰*⋻AA3∥⊢⊲(⩪∧⨌⋰*⋻A89)⩒⫫(⋰*⋻3967⊉↱≁⋰*⋻940≬⋮⋰*⋻141A∇⊂⋱⋰*⋻A18))=NaN","reverse_text":"NaN=(⋰*⋻1945⨜⨶⋰*⋻2131⊋(⋰*⋻933⪒⋰*⋻3284))⫁((⋰*⋻1941⇋≉)⪁⋰*⋻1653≳⇉⋰*⋻2261)≝⊿(⋰*⋻880⨿⋰*⋻AA3∥⊢⊲(⩪∧⨌⋰*⋻A89)⩒⫫(⋰*⋻3967⊉↱≁⋰*⋻940≬⋮⋰*⋻141A∇⊂⋱⋰*⋻A18))","cot":[{"info":"⋰*⋻1945⨜⨶⋰*⋻2131=⋰*⋻-404A","layer":3},{"info":"⋰*⋻933⪒⋰*⋻3284=⋰*⋻-4107","layer":3},{"info":"⋰*⋻-404A⊋⋰*⋻-4107=⋰*⋻-79026","layer":2},{"info":"⋰*⋻1941⇋≉=⋰*⋻36A3","layer":3},{"info":"⋰*⋻1653≳⇉⋰*⋻2261=NaN","layer":3},{"info":"⋰*⋻36A3⪁NaN=NaN","layer":2},{"info":"⋰*⋻-79026⫁NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻880⨿⋰*⋻AA3=⋰*⋻-270","layer":3},{"info":"⩪∧⨌⋰*⋻A89=⋰*⋻9902","layer":3},{"info":"⋰*⋻-270∥⊢⊲⋰*⋻9902=NaN","layer":2},{"info":"⋰*⋻3967⊉↱≁⋰*⋻940=⋰*⋻30647","layer":3},{"info":"⋰*⋻141A∇⊂⋱⋰*⋻A18=⋰*⋻2392","layer":3},{"info":"⋰*⋻30647≬⋮⋰*⋻2392=⋰*⋻71A","layer":2},{"info":"NaN⩒⫫⋰*⋻71A=NaN","layer":1},{"info":"⋰*⋻136≝⊿NaN=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"⨞⊢((↥≼⋛$4362$⨽$3487$)∠⫱(∨∊⋏(⊤⊝$3767$)))","expression":"⨞⊢((↥≼⋛⋰*⋻3306⨽⋰*⋻2690)∠⫱(∨∊⋏(⊤⊝⋰*⋻2915)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4466,"operation_count":6,"complexity_ratio":744.3333333333334,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4362,"base":11},"right_expr":{"type":"numeric_atoms","value":3487,"base":11}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":3767,"base":11}}}}},"used_operators":["xUOZtlo3hN","QvoQhV0rrE","x5lMkHmzsq","8HhzD0ZcuI","R5aXW34M0v","rXAclfmB4M"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","sdazOOVcIp"],"result":"⋰*⋻-1070","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4362","layer":4},{"info":"number node, value=3487","layer":4},{"info":"compute binary expreesion, left_input=4362, right_input=3487, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-57090279","layer":3},{"info":"compute unary expreesion, input=-57090279, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-57090246","layer":2},{"info":"number node, value=3767","layer":4},{"info":"compute unary expreesion, input=3767, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=6236","layer":3},{"info":"compute unary expreesion, input=6236, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=136463","layer":2},{"info":"compute binary expreesion, left_input=-57090246, right_input=136463, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1408","layer":0}],"base":11,"result_base":11,"text":"⨞⊢((↥≼⋛⋰*⋻3306⨽⋰*⋻2690)∠⫱(∨∊⋏(⊤⊝⋰*⋻2915)))=⋰*⋻-1070","reverse_text":"⋰*⋻-1070=⨞⊢((↥≼⋛⋰*⋻3306⨽⋰*⋻2690)∠⫱(∨∊⋏(⊤⊝⋰*⋻2915)))","cot":[{"info":"⋰*⋻3306⨽⋰*⋻2690=⋰*⋻-2A253854","layer":3},{"info":"↥≼⋛⋰*⋻-2A253854=⋰*⋻-2A253824","layer":2},{"info":"⊤⊝⋰*⋻2915=⋰*⋻475A","layer":3},{"info":"∨∊⋏⋰*⋻475A=⋰*⋻93588","layer":2},{"info":"⋰*⋻-2A253824∠⫱⋰*⋻93588=⋰*⋻A22","layer":1},{"info":"⨞⊢⋰*⋻A22=⋰*⋻-1070","layer":0}]}
{"id":60,"expression_no_base_symbol":"(($1033$%$4144$)∝$2415$∀⇚≩$2589$)∓⋝(($1650$%$1442$)⇷$3941$≝⊿$3810$)⩎⪣⊞","expression":"((⋰*⋻85A%⋰*⋻3128)∝⋰*⋻18A6∀⇚≩⋰*⋻1A44)∓⋝((⋰*⋻1270%⋰*⋻10A1)⇷⋰*⋻2A63≝⊿⋰*⋻2954)⩎⪣⊞","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20812,"operation_count":8,"complexity_ratio":2601.5,"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":1033,"base":11},"right_expr":{"type":"numeric_atoms","value":4144,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2415,"base":11},"right_expr":{"type":"numeric_atoms","value":2589,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1650,"base":11},"right_expr":{"type":"numeric_atoms","value":1442,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3941,"base":11},"right_expr":{"type":"numeric_atoms","value":3810,"base":11}}}}},"used_operators":["waWucp1uQ4","PoHhknlbAi","cTDWOvIxvz","k8jYdgA6NY","LRNGc0VcxI","mp7IySMOzn","OKKcZfAt5B"],"dependent_operators":["mp7IySMOzn","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","12rbrZMWeM"],"result":"⋰*⋻112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"number node, value=4144","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=4144, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1033","layer":3},{"info":"number node, value=2415","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=2589, 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=1033, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=1650","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1442, op_id = k8jYdgA6NY binary_op_definition= 'None', output=208","layer":3},{"info":"number node, value=3941","layer":4},{"info":"number node, value=3810","layer":4},{"info":"compute binary expreesion, left_input=3941, right_input=3810, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12094","layer":3},{"info":"compute binary expreesion, left_input=208, right_input=-12094, 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 = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=134","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻85A%⋰*⋻3128)∝⋰*⋻18A6∀⇚≩⋰*⋻1A44)∓⋝((⋰*⋻1270%⋰*⋻10A1)⇷⋰*⋻2A63≝⊿⋰*⋻2954)⩎⪣⊞=⋰*⋻112","reverse_text":"⋰*⋻112=((⋰*⋻85A%⋰*⋻3128)∝⋰*⋻18A6∀⇚≩⋰*⋻1A44)∓⋝((⋰*⋻1270%⋰*⋻10A1)⇷⋰*⋻2A63≝⊿⋰*⋻2954)⩎⪣⊞","cot":[{"info":"⋰*⋻85A%⋰*⋻3128=⋰*⋻85A","layer":3},{"info":"⋰*⋻18A6∀⇚≩⋰*⋻1A44=NaN","layer":3},{"info":"⋰*⋻85A∝NaN=NaN","layer":2},{"info":"⋰*⋻1270%⋰*⋻10A1=⋰*⋻17A","layer":3},{"info":"⋰*⋻2A63≝⊿⋰*⋻2954=⋰*⋻-90A5","layer":3},{"info":"⋰*⋻17A⇷⋰*⋻-90A5=NaN","layer":2},{"info":"NaN∓⋝NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻61⩎⪣⊞=⋰*⋻112","layer":0}]}
{"id":61,"expression_no_base_symbol":"(⇋⊎⋝($3366$≄⊠$3113$))⪝((⇨$6988$)⨿(⩷⨜⫀$3360$))∠⫱(⊵⊁((⫡⇟⇯$1222$)⪛($1241$≭$3076$)))","expression":"(⇋⊎⋝(⋰*⋻2590≄⊠⋰*⋻2380))⪝((⇨⋰*⋻5283)⨿(⩷⨜⫀⋰*⋻2585))∠⫱(⊵⊁((⫡⇟⇯⋰*⋻A11)⪛(⋰*⋻A29≭⋰*⋻2347)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55208,"operation_count":11,"complexity_ratio":5018.909090909091,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3366,"base":11},"right_expr":{"type":"numeric_atoms","value":3113,"base":11}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":6988,"base":11}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":3360,"base":11}}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1222,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1241,"base":11},"right_expr":{"type":"numeric_atoms","value":3076,"base":11}}}}},"used_operators":["QvoQhV0rrE","wicAB68Tmb","CzM2PEoXns","vXNesLlMH1","abYXlopdE0","G9tJMlZ94a","CDi0ktkjQ4","AvED76WdY7","uFcxV4UQCh","qWUSsah53b","rxpJgHHUmx"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","k8jYdgA6NY","ruOEQAzv1W","nhYeJWJD5X","uBihLCJcMX","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","P8v4zCKN1o","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3366","layer":4},{"info":"number node, value=3113","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=3113, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=54476","layer":3},{"info":"compute unary expreesion, input=54476, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=6988","layer":4},{"info":"compute unary expreesion, input=6988, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=3360","layer":4},{"info":"compute unary expreesion, input=3360, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3087","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3087, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=121, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"number node, value=1222","layer":4},{"info":"compute unary expreesion, input=1222, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3312","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=3076","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=3076, 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=3312, 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 = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇋⊎⋝(⋰*⋻2590≄⊠⋰*⋻2380))⪝((⇨⋰*⋻5283)⨿(⩷⨜⫀⋰*⋻2585))∠⫱(⊵⊁((⫡⇟⇯⋰*⋻A11)⪛(⋰*⋻A29≭⋰*⋻2347)))=NaN","reverse_text":"NaN=(⇋⊎⋝(⋰*⋻2590≄⊠⋰*⋻2380))⪝((⇨⋰*⋻5283)⨿(⩷⨜⫀⋰*⋻2585))∠⫱(⊵⊁((⫡⇟⇯⋰*⋻A11)⪛(⋰*⋻A29≭⋰*⋻2347)))","cot":[{"info":"⋰*⋻2590≄⊠⋰*⋻2380=⋰*⋻37A24","layer":3},{"info":"⇋⊎⋝⋰*⋻37A24=NaN","layer":2},{"info":"⇨⋰*⋻5283=⋰*⋻0","layer":3},{"info":"⩷⨜⫀⋰*⋻2585=⋰*⋻-2357","layer":3},{"info":"⋰*⋻0⨿⋰*⋻-2357=⋰*⋻100","layer":2},{"info":"NaN⪝⋰*⋻100=NaN","layer":1},{"info":"⫡⇟⇯⋰*⋻A11=⋰*⋻2541","layer":3},{"info":"⋰*⋻A29≭⋰*⋻2347=NaN","layer":3},{"info":"⋰*⋻2541⪛NaN=NaN","layer":2},{"info":"⊵⊁NaN=NaN","layer":1},{"info":"NaN∠⫱NaN=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"(($3798$⋅⇍$1746$)⨻⩈⩔($8868$⨁⊸⫻))⨫⇇↔(≸$6585$⋹⋡⊁$5203$)∙∹∝($7693$≴⪞⇿$5018$⇴∐$2608$⨻⩈⩔$2321$⋫)","expression":"((⋰*⋻2943⋅⇍⋰*⋻1348)⨻⩈⩔(⋰*⋻6732⨁⊸⫻))⨫⇇↔(≸⋰*⋻4A47⋹⋡⊁⋰*⋻3A00)∙∹∝(⋰*⋻5864≴⪞⇿⋰*⋻3852⇴∐⋰*⋻1A61⨻⩈⩔⋰*⋻1820⋫)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":70303,"operation_count":11,"complexity_ratio":6391.181818181818,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3798,"base":11},"right_expr":{"type":"numeric_atoms","value":1746,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":8868,"base":11}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6585,"base":11},"right_expr":{"type":"numeric_atoms","value":5203,"base":11}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":7693,"base":11},"right_expr":{"type":"numeric_atoms","value":5018,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2608,"base":11},"right_expr":{"type":"numeric_atoms","value":2321,"base":11}}}}},"used_operators":["HmxsFra2vL","LXhwmt4mBO","nEsXyWgiOK","AdZkA7nFnk","glklzrTFfD","eOf03JbCpp","As8RqfVLgs","JL8yIekQnl","HnzytWxmAO","lvlrscuwVU"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tmPS8pqC7x","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3798","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=1746, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=8868","layer":4},{"info":"compute unary expreesion, input=8868, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=8868","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=8868, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=6585","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=6585, right_input=5203, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5953","layer":3},{"info":"compute unary expreesion, input=5953, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=58, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=7693","layer":4},{"info":"number node, value=5018","layer":4},{"info":"compute binary expreesion, left_input=7693, right_input=5018, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=110113034","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=2321, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=12463","layer":3},{"info":"compute binary expreesion, left_input=110113034, right_input=12463, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥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":"compute binary expreesion, left_input=-527, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2943⋅⇍⋰*⋻1348)⨻⩈⩔(⋰*⋻6732⨁⊸⫻))⨫⇇↔(≸⋰*⋻4A47⋹⋡⊁⋰*⋻3A00)∙∹∝(⋰*⋻5864≴⪞⇿⋰*⋻3852⇴∐⋰*⋻1A61⨻⩈⩔⋰*⋻1820⋫)=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻2943⋅⇍⋰*⋻1348)⨻⩈⩔(⋰*⋻6732⨁⊸⫻))⨫⇇↔(≸⋰*⋻4A47⋹⋡⊁⋰*⋻3A00)∙∹∝(⋰*⋻5864≴⪞⇿⋰*⋻3852⇴∐⋰*⋻1A61⨻⩈⩔⋰*⋻1820⋫)","cot":[{"info":"⋰*⋻2943⋅⇍⋰*⋻1348=⋰*⋻-20","layer":3},{"info":"⋰*⋻6732⨁⊸⫻=⋰*⋻6732","layer":3},{"info":"⋰*⋻-20⨻⩈⩔⋰*⋻6732=⋰*⋻-149","layer":2},{"info":"⋰*⋻4A47⋹⋡⊁⋰*⋻3A00=⋰*⋻4522","layer":3},{"info":"≸⋰*⋻4522=⋰*⋻53","layer":2},{"info":"⋰*⋻-149⨫⇇↔⋰*⋻53=⋰*⋻-43A","layer":1},{"info":"⋰*⋻5864≴⪞⇿⋰*⋻3852=⋰*⋻57179609","layer":3},{"info":"⋰*⋻1A61⨻⩈⩔⋰*⋻1820=⋰*⋻9400","layer":3},{"info":"⋰*⋻57179609⇴∐⋰*⋻9400=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"⋰*⋻-43A∙∹∝NaN=⋰*⋻0","layer":0}]}
{"id":63,"expression_no_base_symbol":"((⩰$1364$)≭($4032$≋⫹))⫯⪬∳($6503$⪕$1163$)⨽∌($1065$∧)∠⫱((⇖(⫶⊄≣$2307$))↙(⊀(⊗$3199$)))","expression":"((⩰⋰*⋻1030)≭(⋰*⋻3036≋⫹))⫯⪬∳(⋰*⋻4982⪕⋰*⋻968)⨽∌(⋰*⋻889∧)∠⫱((⇖(⫶⊄≣⋰*⋻1808))↙(⊀(⊗⋰*⋻2449)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":99230,"operation_count":13,"complexity_ratio":7633.076923076923,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1364,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4032,"base":11}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6503,"base":11},"right_expr":{"type":"numeric_atoms","value":1163,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1065,"base":11}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2307,"base":11}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3199,"base":11}}}}},"used_operators":["QvoQhV0rrE","d7ASUq0ydm","rxpJgHHUmx","WkeUrDK8WX","N41Kp7NANJ","9samAPKr6k","umQnsF7QlU","z63VuFQld9","yyfyN0ffXY","tfWHHpNKUN","wxb3vTeyAj","oPMjh9089D","RhiyfpczSx"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","AHs5Up7iyr","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","2DQ55sFlQl","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2364","layer":3},{"info":"number node, value=4032","layer":4},{"info":"compute unary expreesion, input=4032, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8064","layer":3},{"info":"compute binary expreesion, left_input=-2364, right_input=-8064, 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=6503","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=6503, right_input=1163, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=12744","layer":3},{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, 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=12744, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":1},{"info":"number node, value=2307","layer":4},{"info":"compute unary expreesion, input=2307, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=95838697","layer":3},{"info":"compute unary expreesion, input=95838697, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=3199","layer":4},{"info":"compute unary expreesion, input=3199, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6398","layer":3},{"info":"compute unary expreesion, input=-6398, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=96753","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=96753, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-290259","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-290259, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⩰⋰*⋻1030)≭(⋰*⋻3036≋⫹))⫯⪬∳(⋰*⋻4982⪕⋰*⋻968)⨽∌(⋰*⋻889∧)∠⫱((⇖(⫶⊄≣⋰*⋻1808))↙(⊀(⊗⋰*⋻2449)))=NaN","reverse_text":"NaN=((⩰⋰*⋻1030)≭(⋰*⋻3036≋⫹))⫯⪬∳(⋰*⋻4982⪕⋰*⋻968)⨽∌(⋰*⋻889∧)∠⫱((⇖(⫶⊄≣⋰*⋻1808))↙(⊀(⊗⋰*⋻2449)))","cot":[{"info":"⩰⋰*⋻1030=⋰*⋻-185A","layer":3},{"info":"⋰*⋻3036≋⫹=⋰*⋻-6071","layer":3},{"info":"⋰*⋻-185A≭⋰*⋻-6071=NaN","layer":2},{"info":"⋰*⋻4982⪕⋰*⋻968=⋰*⋻9636","layer":3},{"info":"⋰*⋻889∧=NaN","layer":3},{"info":"⋰*⋻9636⨽∌NaN=NaN","layer":2},{"info":"NaN⫯⪬∳NaN=NaN","layer":1},{"info":"⫶⊄≣⋰*⋻1808=⋰*⋻4A10A039","layer":3},{"info":"⇖⋰*⋻4A10A039=⋰*⋻136","layer":2},{"info":"⊗⋰*⋻2449=⋰*⋻-4897","layer":3},{"info":"⊀⋰*⋻-4897=⋰*⋻66768","layer":2},{"info":"⋰*⋻136↙⋰*⋻66768=⋰*⋻-189092","layer":1},{"info":"NaN∠⫱⋰*⋻-189092=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"(⇺⋃$2379$⋹⋡⊁$1583$)⨔⇊(⇐($9338$+⇶⊼$5284$))⩠","expression":"(⇺⋃⋰*⋻1873⋹⋡⊁⋰*⋻120A)⨔⇊(⇐(⋰*⋻701A+⇶⊼⋰*⋻3A74))⩠","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":62651,"operation_count":6,"complexity_ratio":10441.833333333334,"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":2379,"base":11},"right_expr":{"type":"numeric_atoms","value":1583,"base":11}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":9338,"base":11},"right_expr":{"type":"numeric_atoms","value":5284,"base":11}}}}},"used_operators":["sJAwomhLZr","JclMnS0uGI","E5v5B3UAjG","As8RqfVLgs","nmZMaaE0Q9","TpPTUOHfaN"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2379","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=1583, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2333","layer":3},{"info":"compute unary expreesion, input=2333, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"number node, value=9338","layer":4},{"info":"number node, value=5284","layer":4},{"info":"compute binary expreesion, left_input=9338, right_input=5284, 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 = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇺⋃⋰*⋻1873⋹⋡⊁⋰*⋻120A)⨔⇊(⇐(⋰*⋻701A+⇶⊼⋰*⋻3A74))⩠=NaN","reverse_text":"NaN=(⇺⋃⋰*⋻1873⋹⋡⊁⋰*⋻120A)⨔⇊(⇐(⋰*⋻701A+⇶⊼⋰*⋻3A74))⩠","cot":[{"info":"⋰*⋻1873⋹⋡⊁⋰*⋻120A=⋰*⋻1831","layer":3},{"info":"⇺⋃⋰*⋻1831=NaN","layer":2},{"info":"⋰*⋻701A+⇶⊼⋰*⋻3A74=NaN","layer":3},{"info":"⇐NaN=NaN","layer":2},{"info":"NaN⨔⇊NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"(((≸$3125$)⪗)⨵⪆($3430$⫌⩉⩟$6127$)⨔≚≋$1331$⪔$2176$)∷(($5770$⇄$2012$⪨≂(⨵$1374$))⨸⪁(⊿$6516$⨥⫆$5088$))","expression":"(((≸⋰*⋻2391)⪗)⨵⪆(⋰*⋻2639⫌⩉⩟⋰*⋻4670)⨔≚≋⋰*⋻1000⪔⋰*⋻16A9)∷((⋰*⋻4376⇄⋰*⋻156A⪨≂(⨵⋰*⋻103A))⨸⪁(⊿⋰*⋻4994⨥⫆⋰*⋻3906))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32882,"operation_count":13,"complexity_ratio":2529.3846153846152,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3125,"base":11}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3430,"base":11},"right_expr":{"type":"numeric_atoms","value":6127,"base":11}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1331,"base":11},"right_expr":{"type":"numeric_atoms","value":2176,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5770,"base":11},"right_expr":{"type":"numeric_atoms","value":2012,"base":11}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1374,"base":11}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":6516,"base":11},"right_expr":{"type":"numeric_atoms","value":5088,"base":11}}}}},"used_operators":["D3AQDKkPcf","2DQ55sFlQl","VEQNXA0ZBg","eOf03JbCpp","Z57zeUYC9z","XIIwhv8d0m","GjBEYRfMaF","g55IO6H4Gj","sdazOOVcIp","3EYGwJThht","Tl3Y52tvF8","DO4fhlbJSI","yXekIHxTD4"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⋰*⋻-798","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3125","layer":4},{"info":"compute unary expreesion, input=3125, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=3430","layer":4},{"info":"number node, value=6127","layer":4},{"info":"compute binary expreesion, left_input=3430, right_input=6127, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1331","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=2176, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=450, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-5560","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5560, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5770","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=5770, right_input=2012, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1374","layer":4},{"info":"compute unary expreesion, input=1374, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-12201","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12201, 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=24504","layer":2},{"info":"number node, value=6516","layer":4},{"info":"number node, value=5088","layer":4},{"info":"compute binary expreesion, left_input=6516, right_input=5088, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10052","layer":3},{"info":"compute unary expreesion, input=10052, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-40946","layer":2},{"info":"compute binary expreesion, left_input=24504, right_input=-40946, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-32884","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-32884, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-954","layer":0}],"base":11,"result_base":11,"text":"(((≸⋰*⋻2391)⪗)⨵⪆(⋰*⋻2639⫌⩉⩟⋰*⋻4670)⨔≚≋⋰*⋻1000⪔⋰*⋻16A9)∷((⋰*⋻4376⇄⋰*⋻156A⪨≂(⨵⋰*⋻103A))⨸⪁(⊿⋰*⋻4994⨥⫆⋰*⋻3906))=⋰*⋻-798","reverse_text":"⋰*⋻-798=(((≸⋰*⋻2391)⪗)⨵⪆(⋰*⋻2639⫌⩉⩟⋰*⋻4670)⨔≚≋⋰*⋻1000⪔⋰*⋻16A9)∷((⋰*⋻4376⇄⋰*⋻156A⪨≂(⨵⋰*⋻103A))⨸⪁(⊿⋰*⋻4994⨥⫆⋰*⋻3906))","cot":[{"info":"≸⋰*⋻2391=⋰*⋻53","layer":3},{"info":"⋰*⋻53⪗=NaN","layer":2},{"info":"⋰*⋻2639⫌⩉⩟⋰*⋻4670=⋰*⋻-46","layer":3},{"info":"⋰*⋻1000⪔⋰*⋻16A9=⋰*⋻37A","layer":3},{"info":"⋰*⋻-46⨔≚≋⋰*⋻37A=⋰*⋻-41A5","layer":2},{"info":"NaN⨵⪆⋰*⋻-41A5=⋰*⋻136","layer":1},{"info":"⋰*⋻4376⇄⋰*⋻156A=⋰*⋻0","layer":3},{"info":"⨵⋰*⋻103A=⋰*⋻-9192","layer":3},{"info":"⋰*⋻0⪨≂⋰*⋻-9192=⋰*⋻17457","layer":2},{"info":"⋰*⋻4994⨥⫆⋰*⋻3906=⋰*⋻7609","layer":3},{"info":"⊿⋰*⋻7609=⋰*⋻-28844","layer":2},{"info":"⋰*⋻17457⨸⪁⋰*⋻-28844=⋰*⋻-22785","layer":1},{"info":"⋰*⋻136∷⋰*⋻-22785=⋰*⋻-798","layer":0}]}
{"id":66,"expression_no_base_symbol":"(($4329$∷)⫗⊷⫓($7783$⨑≵⋬$3387$)≀⩗∶($1176$⇻⋧≁$1698$⫃⨇$2620$⨔⇊$6233$))⊮⊟↴($6340$⫁$4761$∺≝⩲$2689$⇡⇂$1381$⩼⇪↪((∤$9003$)⇷(⫛⫱⨽$2109$)))","expression":"((⋰*⋻3286∷)⫗⊷⫓(⋰*⋻5936⨑≵⋬⋰*⋻25AA)≀⩗∶(⋰*⋻97A⇻⋧≁⋰*⋻1304⫃⨇⋰*⋻1A72⨔⇊⋰*⋻4757))⊮⊟↴(⋰*⋻4844⫁⋰*⋻3639∺≝⩲⋰*⋻2025⇡⇂⋰*⋻1046⩼⇪↪((∤⋰*⋻6845)⇷(⫛⫱⨽⋰*⋻1648)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":11135,"operation_count":15,"complexity_ratio":742.3333333333334,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":4329,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":7783,"base":11},"right_expr":{"type":"numeric_atoms","value":3387,"base":11}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1176,"base":11},"right_expr":{"type":"numeric_atoms","value":1698,"base":11}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2620,"base":11},"right_expr":{"type":"numeric_atoms","value":6233,"base":11}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6340,"base":11},"right_expr":{"type":"numeric_atoms","value":4761,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2689,"base":11},"right_expr":{"type":"numeric_atoms","value":1381,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":9003,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2109,"base":11}}}}},"used_operators":["QDVgd2eftb","8INZBEW696","zashukvMKz","nFAOW8KTqp","XnXgA4xnOs","09Ly4LVMIf","jCPkEVoL5K","JclMnS0uGI","ocnLzx9CaJ","KPf6cnQVty","0ajvFaJAv0","UMwdvZNt44","mp7IySMOzn","k2HlF1dBQh","DlLNRPXxWL"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rGHVDoGpnC"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4329","layer":4},{"info":"compute unary expreesion, input=4329, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=12987","layer":3},{"info":"number node, value=7783","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=7783, right_input=3387, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=16585","layer":3},{"info":"compute binary expreesion, left_input=12987, right_input=16585, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1176","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1698, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2620","layer":4},{"info":"number node, value=6233","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=6233, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6233","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=6233, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-24964","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-24964, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-558","layer":1},{"info":"number node, value=6340","layer":4},{"info":"number node, value=4761","layer":4},{"info":"compute binary expreesion, left_input=6340, right_input=4761, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2689","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=1381, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=9003","layer":4},{"info":"compute unary expreesion, input=9003, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9, 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=160, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-463","layer":1},{"info":"compute binary expreesion, left_input=-558, right_input=-463, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3286∷)⫗⊷⫓(⋰*⋻5936⨑≵⋬⋰*⋻25AA)≀⩗∶(⋰*⋻97A⇻⋧≁⋰*⋻1304⫃⨇⋰*⋻1A72⨔⇊⋰*⋻4757))⊮⊟↴(⋰*⋻4844⫁⋰*⋻3639∺≝⩲⋰*⋻2025⇡⇂⋰*⋻1046⩼⇪↪((∤⋰*⋻6845)⇷(⫛⫱⨽⋰*⋻1648)))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻3286∷)⫗⊷⫓(⋰*⋻5936⨑≵⋬⋰*⋻25AA)≀⩗∶(⋰*⋻97A⇻⋧≁⋰*⋻1304⫃⨇⋰*⋻1A72⨔⇊⋰*⋻4757))⊮⊟↴(⋰*⋻4844⫁⋰*⋻3639∺≝⩲⋰*⋻2025⇡⇂⋰*⋻1046⩼⇪↪((∤⋰*⋻6845)⇷(⫛⫱⨽⋰*⋻1648)))","cot":[{"info":"⋰*⋻3286∷=⋰*⋻9837","layer":3},{"info":"⋰*⋻5936⨑≵⋬⋰*⋻25AA=⋰*⋻11508","layer":3},{"info":"⋰*⋻9837⫗⊷⫓⋰*⋻11508=⋰*⋻-112","layer":2},{"info":"⋰*⋻97A⇻⋧≁⋰*⋻1304=⋰*⋻-377","layer":3},{"info":"⋰*⋻1A72⨔⇊⋰*⋻4757=⋰*⋻4757","layer":3},{"info":"⋰*⋻-377⫃⨇⋰*⋻4757=⋰*⋻-17835","layer":2},{"info":"⋰*⋻-112≀⩗∶⋰*⋻-17835=⋰*⋻-468","layer":1},{"info":"⋰*⋻4844⫁⋰*⋻3639=⋰*⋻136","layer":3},{"info":"⋰*⋻2025⇡⇂⋰*⋻1046=NaN","layer":3},{"info":"⋰*⋻136∺≝⩲NaN=⋰*⋻136","layer":2},{"info":"∤⋰*⋻6845=⋰*⋻9","layer":3},{"info":"⫛⫱⨽⋰*⋻1648=⋰*⋻0","layer":3},{"info":"⋰*⋻9⇷⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻136⩼⇪↪⋰*⋻0=⋰*⋻-391","layer":1},{"info":"⋰*⋻-468⊮⊟↴⋰*⋻-391=⋰*⋻0","layer":0}]}
{"id":67,"expression_no_base_symbol":"((⨡↴($3848$⨵⪆$2709$))≑≱⪘)∠⫱(($3611$≀⩗∶$1688$)∀⇚≩($2187$⫸⊐$9654$))⨸($3897$⊝⪿⪼$7304$)⨑⩅≇($3930$⨔≚≋$3258$)","expression":"((⨡↴(⋰*⋻2989⨵⪆⋰*⋻2043))≑≱⪘)∠⫱((⋰*⋻2793≀⩗∶⋰*⋻12A5)∀⇚≩(⋰*⋻1709⫸⊐⋰*⋻7287))⨸(⋰*⋻2A23⊝⪿⪼⋰*⋻5540)⨑⩅≇(⋰*⋻2A53⨔≚≋⋰*⋻24A2)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":48756,"operation_count":11,"complexity_ratio":4432.363636363636,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3848,"base":11},"right_expr":{"type":"numeric_atoms","value":2709,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3611,"base":11},"right_expr":{"type":"numeric_atoms","value":1688,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2187,"base":11},"right_expr":{"type":"numeric_atoms","value":9654,"base":11}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3897,"base":11},"right_expr":{"type":"numeric_atoms","value":7304,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3930,"base":11},"right_expr":{"type":"numeric_atoms","value":3258,"base":11}}}}},"used_operators":["QvoQhV0rrE","tGSeddj7UK","liw5iZPkLH","2DQ55sFlQl","KmoU8R5UQR","LRNGc0VcxI","8INZBEW696","mqXw5SEYmG","h92wMvzauj","3Oe9XWJUTD","Z57zeUYC9z"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","X99M06cbEe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3848","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=3848, right_input=2709, 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 = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1209","layer":2},{"info":"compute unary expreesion, input=1209, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=27799","layer":1},{"info":"number node, value=3611","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=1688, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2187","layer":4},{"info":"number node, value=9654","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=9654, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=38491","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=38491, 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=38491","layer":2},{"info":"number node, value=3897","layer":4},{"info":"number node, value=7304","layer":4},{"info":"compute binary expreesion, left_input=3897, right_input=7304, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=68387","layer":3},{"info":"number node, value=3930","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=3258, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=68387, right_input=9872, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-205161","layer":2},{"info":"compute binary expreesion, left_input=38491, right_input=-205161, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=76982","layer":1},{"info":"compute binary expreesion, left_input=27799, right_input=76982, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"((⨡↴(⋰*⋻2989⨵⪆⋰*⋻2043))≑≱⪘)∠⫱((⋰*⋻2793≀⩗∶⋰*⋻12A5)∀⇚≩(⋰*⋻1709⫸⊐⋰*⋻7287))⨸(⋰*⋻2A23⊝⪿⪼⋰*⋻5540)⨑⩅≇(⋰*⋻2A53⨔≚≋⋰*⋻24A2)=⋰*⋻A22","reverse_text":"⋰*⋻A22=((⨡↴(⋰*⋻2989⨵⪆⋰*⋻2043))≑≱⪘)∠⫱((⋰*⋻2793≀⩗∶⋰*⋻12A5)∀⇚≩(⋰*⋻1709⫸⊐⋰*⋻7287))⨸(⋰*⋻2A23⊝⪿⪼⋰*⋻5540)⨑⩅≇(⋰*⋻2A53⨔≚≋⋰*⋻24A2)","cot":[{"info":"⋰*⋻2989⨵⪆⋰*⋻2043=⋰*⋻136","layer":3},{"info":"⨡↴⋰*⋻136=⋰*⋻9AA","layer":2},{"info":"⋰*⋻9AA≑≱⪘=⋰*⋻19982","layer":1},{"info":"⋰*⋻2793≀⩗∶⋰*⋻12A5=⋰*⋻0","layer":3},{"info":"⋰*⋻1709⫸⊐⋰*⋻7287=⋰*⋻26A12","layer":3},{"info":"⋰*⋻0∀⇚≩⋰*⋻26A12=⋰*⋻26A12","layer":2},{"info":"⋰*⋻2A23⊝⪿⪼⋰*⋻5540=⋰*⋻47420","layer":3},{"info":"⋰*⋻2A53⨔≚≋⋰*⋻24A2=⋰*⋻7465","layer":3},{"info":"⋰*⋻47420⨑⩅≇⋰*⋻7465=⋰*⋻-130160","layer":2},{"info":"⋰*⋻26A12⨸⋰*⋻-130160=⋰*⋻52924","layer":1},{"info":"⋰*⋻19982∠⫱⋰*⋻52924=⋰*⋻A22","layer":0}]}
{"id":68,"expression_no_base_symbol":"(((∑⇻≧$5223$)⩟)⨼⩣(⇜⊴$2770$⩵∡$2018$))⇤(≔(($1104$⪨≂$1713$)⊅))","expression":"(((∑⇻≧⋰*⋻3A19)⩟)⨼⩣(⇜⊴⋰*⋻2099⩵∡⋰*⋻1575))⇤(≔((⋰*⋻914⪨≂⋰*⋻1318)⊅))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":331299,"operation_count":9,"complexity_ratio":36811.0,"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":5223,"base":11}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2770,"base":11},"right_expr":{"type":"numeric_atoms","value":2018,"base":11}}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1104,"base":11},"right_expr":{"type":"numeric_atoms","value":1713,"base":11}}}}},"used_operators":["YSKBFp38Pu","JxwMv5le6e","fOIeswaMU4","l1M9WJ3V7u","XwDhCwWbUn","Y7wcNGrDQJ","8FLs4eVsLt","7p6YLioM7f","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","NTOWxs364D","glklzrTFfD","tifHPKVTfV","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5223","layer":4},{"info":"compute unary expreesion, input=5223, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute unary expreesion, input=-852, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=8895","layer":2},{"info":"number node, value=2770","layer":4},{"info":"number node, value=2018","layer":4},{"info":"compute binary expreesion, left_input=2770, right_input=2018, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3643","layer":3},{"info":"compute unary expreesion, input=-3643, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-110212","layer":2},{"info":"compute binary expreesion, left_input=8895, right_input=-110212, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1713, 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=-1116","layer":3},{"info":"compute unary expreesion, input=-1116, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":2},{"info":"compute unary expreesion, input=16947, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-473222","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473222, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((∑⇻≧⋰*⋻3A19)⩟)⨼⩣(⇜⊴⋰*⋻2099⩵∡⋰*⋻1575))⇤(≔((⋰*⋻914⪨≂⋰*⋻1318)⊅))=NaN","reverse_text":"NaN=(((∑⇻≧⋰*⋻3A19)⩟)⨼⩣(⇜⊴⋰*⋻2099⩵∡⋰*⋻1575))⇤(≔((⋰*⋻914⪨≂⋰*⋻1318)⊅))","cot":[{"info":"∑⇻≧⋰*⋻3A19=⋰*⋻-705","layer":3},{"info":"⋰*⋻-705⩟=⋰*⋻6757","layer":2},{"info":"⋰*⋻2099⩵∡⋰*⋻1575=⋰*⋻-2812","layer":3},{"info":"⇜⊴⋰*⋻-2812=⋰*⋻-75893","layer":2},{"info":"⋰*⋻6757⨼⩣⋰*⋻-75893=NaN","layer":1},{"info":"⋰*⋻914⪨≂⋰*⋻1318=⋰*⋻-925","layer":3},{"info":"⋰*⋻-925⊅=⋰*⋻11807","layer":2},{"info":"≔⋰*⋻11807=⋰*⋻-2A35A2","layer":1},{"info":"NaN⇤⋰*⋻-2A35A2=NaN","layer":0}]}
{"id":69,"expression_no_base_symbol":"⋣(($3559$⫔⩽⩺$5786$)≳⇉$1895$⨼⩣$2809$⫥∨⫟(⊵⊁($3026$⇽⩪)))","expression":"⋣((⋰*⋻2746⫔⩽⩺⋰*⋻4390)≳⇉⋰*⋻1473⨼⩣⋰*⋻2124⫥∨⫟(⊵⊁(⋰*⋻2301⇽⩪)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":711,"operation_count":7,"complexity_ratio":101.57142857142857,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3559,"base":11},"right_expr":{"type":"numeric_atoms","value":5786,"base":11}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1895,"base":11},"right_expr":{"type":"numeric_atoms","value":2809,"base":11}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":3026,"base":11}}}}},"used_operators":["zQWRhDnn8F","KYD54nUTWz","V0kx6qeWkN","i9eR4S00cU","JxwMv5le6e","AvED76WdY7","FonBHBYJbU"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","8HhzD0ZcuI","rGHVDoGpnC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Tw270M8GLb","fu6greOZ01","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP"],"result":"⋰*⋻-A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3559","layer":4},{"info":"number node, value=5786","layer":4},{"info":"compute binary expreesion, left_input=3559, right_input=5786, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1895","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=2809, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=3026","layer":4},{"info":"compute unary expreesion, input=3026, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=6574","layer":3},{"info":"compute unary expreesion, input=6574, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=38374","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=38374, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":11,"result_base":11,"text":"⋣((⋰*⋻2746⫔⩽⩺⋰*⋻4390)≳⇉⋰*⋻1473⨼⩣⋰*⋻2124⫥∨⫟(⊵⊁(⋰*⋻2301⇽⩪)))=⋰*⋻-A3","reverse_text":"⋰*⋻-A3=⋣((⋰*⋻2746⫔⩽⩺⋰*⋻4390)≳⇉⋰*⋻1473⨼⩣⋰*⋻2124⫥∨⫟(⊵⊁(⋰*⋻2301⇽⩪)))","cot":[{"info":"⋰*⋻2746⫔⩽⩺⋰*⋻4390=NaN","layer":3},{"info":"⋰*⋻1473⨼⩣⋰*⋻2124=NaN","layer":3},{"info":"NaN≳⇉NaN=NaN","layer":2},{"info":"⋰*⋻2301⇽⩪=⋰*⋻4A37","layer":3},{"info":"⊵⊁⋰*⋻4A37=⋰*⋻26916","layer":2},{"info":"NaN⫥∨⫟⋰*⋻26916=NaN","layer":1},{"info":"⋣NaN=⋰*⋻-A3","layer":0}]}
{"id":70,"expression_no_base_symbol":"⋂(((≦∁$1905$)⫸⊐($5204$%$1205$))⫲≸⪮(($3206$⇄$4279$)⊍))","expression":"⋂(((≦∁⋰*⋻1482)⫸⊐(⋰*⋻3A01%⋰*⋻9A6))⫲≸⪮((⋰*⋻2455⇄⋰*⋻3240)⊍))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1478,"operation_count":7,"complexity_ratio":211.14285714285714,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1905,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5204,"base":11},"right_expr":{"type":"numeric_atoms","value":1205,"base":11}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3206,"base":11},"right_expr":{"type":"numeric_atoms","value":4279,"base":11}}}}},"used_operators":["BUOGQAYlQx","P3lXMJvFrc","mqXw5SEYmG","9ICcGScMcE","k8jYdgA6NY","3nqY3DE9mg","3EYGwJThht"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⋰*⋻-13437","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1905","layer":4},{"info":"compute unary expreesion, input=1905, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1905","layer":3},{"info":"number node, value=5204","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=5204, right_input=1205, op_id = k8jYdgA6NY binary_op_definition= 'None', output=384","layer":3},{"info":"compute binary expreesion, left_input=1905, right_input=384, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=1411","layer":2},{"info":"number node, value=3206","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=4279, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-4089","layer":2},{"info":"compute binary expreesion, left_input=1411, right_input=-4089, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1411","layer":1},{"info":"compute unary expreesion, input=1411, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-19158","layer":0}],"base":11,"result_base":11,"text":"⋂(((≦∁⋰*⋻1482)⫸⊐(⋰*⋻3A01%⋰*⋻9A6))⫲≸⪮((⋰*⋻2455⇄⋰*⋻3240)⊍))=⋰*⋻-13437","reverse_text":"⋰*⋻-13437=⋂(((≦∁⋰*⋻1482)⫸⊐(⋰*⋻3A01%⋰*⋻9A6))⫲≸⪮((⋰*⋻2455⇄⋰*⋻3240)⊍))","cot":[{"info":"≦∁⋰*⋻1482=⋰*⋻1482","layer":3},{"info":"⋰*⋻3A01%⋰*⋻9A6=⋰*⋻31A","layer":3},{"info":"⋰*⋻1482⫸⊐⋰*⋻31A=⋰*⋻1073","layer":2},{"info":"⋰*⋻2455⇄⋰*⋻3240=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊍=⋰*⋻-3088","layer":2},{"info":"⋰*⋻1073⫲≸⪮⋰*⋻-3088=⋰*⋻1073","layer":1},{"info":"⋂⋰*⋻1073=⋰*⋻-13437","layer":0}]}
{"id":71,"expression_no_base_symbol":"($1482$⫸⇳$2513$∷$3202$→⨶⪴$3413$⫃⨇$7089$⋥⋵⩄$1012$≃($3603$⊧↖))≎⪠($1504$⇡⇂$5141$⋓$3512$≒∊$2849$⇟⨁⪰)","expression":"(⋰*⋻1128⫸⇳⋰*⋻1985∷⋰*⋻2451→⨶⪴⋰*⋻2623⫃⨇⋰*⋻5365⋥⋵⩄⋰*⋻840≃(⋰*⋻2786⊧↖))≎⪠(⋰*⋻1148⇡⇂⋰*⋻3954⋓⋰*⋻2703≒∊⋰*⋻2160⇟⨁⪰)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":50068,"operation_count":12,"complexity_ratio":4172.333333333333,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1482,"base":11},"right_expr":{"type":"numeric_atoms","value":2513,"base":11}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3202,"base":11},"right_expr":{"type":"numeric_atoms","value":3413,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":7089,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3603,"base":11}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1504,"base":11},"right_expr":{"type":"numeric_atoms","value":5141,"base":11}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3512,"base":11},"right_expr":{"type":"numeric_atoms","value":2849,"base":11}}}}},"used_operators":["aNhz54LH3e","09Ly4LVMIf","D3AQDKkPcf","gx7XJ7hdpj","bF6eod5Gvf","YbVcJGFEVW","7t3wd0Fuz7","EKiFHuOFxO","BX1lVwlMe0","T2fj7uvVaJ","UMwdvZNt44","5KTvxBwnZo"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","2DDjHMKMc0","xUOZtlo3hN","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⋰*⋻13770","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1482","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=2513, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=3202","layer":4},{"info":"number node, value=3413","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=3413, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10239","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10239, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-794","layer":2},{"info":"number node, value=7089","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=7089, right_input=1012, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=3603","layer":4},{"info":"compute unary expreesion, input=3603, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=77908400","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=77908400, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-492","layer":2},{"info":"compute binary expreesion, left_input=-794, right_input=-492, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=1936","layer":1},{"info":"number node, value=1504","layer":4},{"info":"number node, value=5141","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=5141, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=3512","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=2849, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3028","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3028, 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 = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=1936, right_input=-174, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1128⫸⇳⋰*⋻1985∷⋰*⋻2451→⨶⪴⋰*⋻2623⫃⨇⋰*⋻5365⋥⋵⩄⋰*⋻840≃(⋰*⋻2786⊧↖))≎⪠(⋰*⋻1148⇡⇂⋰*⋻3954⋓⋰*⋻2703≒∊⋰*⋻2160⇟⨁⪰)=⋰*⋻13770","reverse_text":"⋰*⋻13770=(⋰*⋻1128⫸⇳⋰*⋻1985∷⋰*⋻2451→⨶⪴⋰*⋻2623⫃⨇⋰*⋻5365⋥⋵⩄⋰*⋻840≃(⋰*⋻2786⊧↖))≎⪠(⋰*⋻1148⇡⇂⋰*⋻3954⋓⋰*⋻2703≒∊⋰*⋻2160⇟⨁⪰)","cot":[{"info":"⋰*⋻1128⫸⇳⋰*⋻1985=⋰*⋻0","layer":3},{"info":"⋰*⋻2451→⨶⪴⋰*⋻2623=⋰*⋻-7769","layer":3},{"info":"⋰*⋻0∷⋰*⋻-7769=⋰*⋻-662","layer":2},{"info":"⋰*⋻5365⋥⋵⩄⋰*⋻840=⋰*⋻A3","layer":3},{"info":"⋰*⋻2786⊧↖=⋰*⋻3AA82809","layer":3},{"info":"⋰*⋻A3≃⋰*⋻3AA82809=⋰*⋻-408","layer":2},{"info":"⋰*⋻-662⫃⨇⋰*⋻-408=⋰*⋻1500","layer":1},{"info":"⋰*⋻1148⇡⇂⋰*⋻3954=NaN","layer":3},{"info":"⋰*⋻2703≒∊⋰*⋻2160=⋰*⋻-2303","layer":3},{"info":"NaN⋓⋰*⋻-2303=⋰*⋻0","layer":2},{"info":"⋰*⋻0⇟⨁⪰=⋰*⋻-149","layer":1},{"info":"⋰*⋻1500≎⪠⋰*⋻-149=⋰*⋻13770","layer":0}]}
{"id":72,"expression_no_base_symbol":"(∨∊⋏(↨$5970$⋕⪉⪜$1653$))∋((⫶⊄≣($1238$⊝⪿⪼$1427$))∼(≤/(∷≠$3617$)))","expression":"(∨∊⋏(↨⋰*⋻4538⋕⪉⪜⋰*⋻1273))∋((⫶⊄≣(⋰*⋻A26⊝⪿⪼⋰*⋻1088))∼(≤/(∷≠⋰*⋻2799)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23424,"operation_count":9,"complexity_ratio":2602.6666666666665,"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":5970,"base":11},"right_expr":{"type":"numeric_atoms","value":1653,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1238,"base":11},"right_expr":{"type":"numeric_atoms","value":1427,"base":11}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":3617,"base":11}}}}},"used_operators":["ukq6epAj5P","R5aXW34M0v","jiX4gk2v2Q","z6LnFrNh4i","DyGG3AbaNP","wxb3vTeyAj","3Oe9XWJUTD","eLAdDNolq6","QiR2Oyf5Xj"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rGHVDoGpnC","oZj3VtZNQx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5970","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=5970, right_input=1653, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":1},{"info":"number node, value=1238","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1427, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=23084","layer":3},{"info":"compute unary expreesion, input=23084, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=inf","layer":2},{"info":"number node, value=3617","layer":4},{"info":"compute unary expreesion, input=3617, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=3617","layer":3},{"info":"compute unary expreesion, input=3617, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3133","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-3133, 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 = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∨∊⋏(↨⋰*⋻4538⋕⪉⪜⋰*⋻1273))∋((⫶⊄≣(⋰*⋻A26⊝⪿⪼⋰*⋻1088))∼(≤/(∷≠⋰*⋻2799)))=NaN","reverse_text":"NaN=(∨∊⋏(↨⋰*⋻4538⋕⪉⪜⋰*⋻1273))∋((⫶⊄≣(⋰*⋻A26⊝⪿⪼⋰*⋻1088))∼(≤/(∷≠⋰*⋻2799)))","cot":[{"info":"⋰*⋻4538⋕⪉⪜⋰*⋻1273=⋰*⋻2118","layer":3},{"info":"↨⋰*⋻2118=NaN","layer":2},{"info":"∨∊⋏NaN=NaN","layer":1},{"info":"⋰*⋻A26⊝⪿⪼⋰*⋻1088=⋰*⋻16386","layer":3},{"info":"⫶⊄≣⋰*⋻16386=Inf","layer":2},{"info":"∷≠⋰*⋻2799=⋰*⋻2799","layer":3},{"info":"≤/⋰*⋻2799=⋰*⋻-2399","layer":2},{"info":"Inf∼⋰*⋻-2399=NaN","layer":1},{"info":"NaN∋NaN=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"(($4304$≫≃)⫣⪄⊒($1998$⩨$1152$)⨭⪣((⨝⨆$2420$)∪⫐$3176$↬$2592$))⇴($1361$⫁⪎$1236$⊋(≸≮$3299$)⨁⊸⫻)","expression":"((⋰*⋻3263≫≃)⫣⪄⊒(⋰*⋻1557⩨⋰*⋻958)⨭⪣((⨝⨆⋰*⋻1900)∪⫐⋰*⋻2428↬⋰*⋻1A47))⇴(⋰*⋻1028⫁⪎⋰*⋻A24⊋(≸≮⋰*⋻252A)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10080,"operation_count":12,"complexity_ratio":840.0,"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":4304,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1998,"base":11},"right_expr":{"type":"numeric_atoms","value":1152,"base":11}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2420,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3176,"base":11},"right_expr":{"type":"numeric_atoms","value":2592,"base":11}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1361,"base":11},"right_expr":{"type":"numeric_atoms","value":1236,"base":11}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3299,"base":11}}}}},"used_operators":["4JB6nKBMSY","kn8WO9XteQ","RabNbG55vr","X99M06cbEe","2DlMacCsIx","7YooWSwCyH","bQ67fsrMVf","B5M0gjZbta","glklzrTFfD","W4tP9CfskL","xRrnTEsQ6j","AljMvE3RRm"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK","2DDjHMKMc0","tifHPKVTfV","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4304","layer":4},{"info":"compute unary expreesion, input=4304, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10009","layer":3},{"info":"number node, value=1998","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1998, right_input=1152, 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=10009, right_input=0, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=2420","layer":4},{"info":"compute unary expreesion, input=2420, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2211","layer":3},{"info":"number node, value=3176","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=3176, right_input=2592, 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=2211, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2211","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2211, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-482","layer":1},{"info":"number node, value=1361","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=1236, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=125","layer":3},{"info":"number node, value=3299","layer":4},{"info":"compute unary expreesion, input=3299, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=125, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"compute 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=-482, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3263≫≃)⫣⪄⊒(⋰*⋻1557⩨⋰*⋻958)⨭⪣((⨝⨆⋰*⋻1900)∪⫐⋰*⋻2428↬⋰*⋻1A47))⇴(⋰*⋻1028⫁⪎⋰*⋻A24⊋(≸≮⋰*⋻252A)⨁⊸⫻)=NaN","reverse_text":"NaN=((⋰*⋻3263≫≃)⫣⪄⊒(⋰*⋻1557⩨⋰*⋻958)⨭⪣((⨝⨆⋰*⋻1900)∪⫐⋰*⋻2428↬⋰*⋻1A47))⇴(⋰*⋻1028⫁⪎⋰*⋻A24⊋(≸≮⋰*⋻252A)⨁⊸⫻)","cot":[{"info":"⋰*⋻3263≫≃=⋰*⋻757A","layer":3},{"info":"⋰*⋻1557⩨⋰*⋻958=⋰*⋻0","layer":3},{"info":"⋰*⋻757A⫣⪄⊒⋰*⋻0=⋰*⋻136","layer":2},{"info":"⨝⨆⋰*⋻1900=⋰*⋻1730","layer":3},{"info":"⋰*⋻2428↬⋰*⋻1A47=NaN","layer":3},{"info":"⋰*⋻1730∪⫐NaN=⋰*⋻1730","layer":2},{"info":"⋰*⋻136⨭⪣⋰*⋻1730=⋰*⋻-3A9","layer":1},{"info":"⋰*⋻1028⫁⪎⋰*⋻A24=⋰*⋻104","layer":3},{"info":"≸≮⋰*⋻252A=NaN","layer":3},{"info":"⋰*⋻104⊋NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⋰*⋻-3A9⇴NaN=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"(⨴⫝($1348$⩇∃⫛$6938$)⫣⪄⊒($2899$∸))⫲≸⪮(($7706$≀⩗∶$1648$⪬∳)⫔⩽⩺($5028$⨼⩣$2394$)⋕⪉⪜($1396$⨻⩈⩔$3448$))","expression":"(⨴⫝(⋰*⋻1016⩇∃⫛⋰*⋻5238)⫣⪄⊒(⋰*⋻21A6∸))⫲≸⪮((⋰*⋻5876≀⩗∶⋰*⋻1269⪬∳)⫔⩽⩺(⋰*⋻3861⨼⩣⋰*⋻1887)⋕⪉⪜(⋰*⋻105A⨻⩈⩔⋰*⋻2655))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":47223,"operation_count":11,"complexity_ratio":4293.0,"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":1348,"base":11},"right_expr":{"type":"numeric_atoms","value":6938,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2899,"base":11}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":7706,"base":11},"right_expr":{"type":"numeric_atoms","value":1648,"base":11}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5028,"base":11},"right_expr":{"type":"numeric_atoms","value":2394,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1396,"base":11},"right_expr":{"type":"numeric_atoms","value":3448,"base":11}}}}},"used_operators":["P3lXMJvFrc","SVb2v531z1","RabNbG55vr","1aApVXNlOP","o20kRiQErp","i9eR4S00cU","O9U3z1385E","8INZBEW696","z6LnFrNh4i","JxwMv5le6e","nEsXyWgiOK"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","tmPS8pqC7x","Tw270M8GLb","fu6greOZ01","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1348","layer":4},{"info":"number node, value=6938","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=6938, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=6063","layer":3},{"info":"number node, value=2899","layer":4},{"info":"compute unary expreesion, input=2899, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=6063, right_input=177, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":1},{"info":"number node, value=7706","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=7706, right_input=1648, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"number node, value=5028","layer":4},{"info":"number node, value=2394","layer":4},{"info":"compute binary expreesion, left_input=5028, right_input=2394, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=3448","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=3448, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=2767","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2767, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=204, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2828198, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨴⫝(⋰*⋻1016⩇∃⫛⋰*⋻5238)⫣⪄⊒(⋰*⋻21A6∸))⫲≸⪮((⋰*⋻5876≀⩗∶⋰*⋻1269⪬∳)⫔⩽⩺(⋰*⋻3861⨼⩣⋰*⋻1887)⋕⪉⪜(⋰*⋻105A⨻⩈⩔⋰*⋻2655))=NaN","reverse_text":"NaN=(⨴⫝(⋰*⋻1016⩇∃⫛⋰*⋻5238)⫣⪄⊒(⋰*⋻21A6∸))⫲≸⪮((⋰*⋻5876≀⩗∶⋰*⋻1269⪬∳)⫔⩽⩺(⋰*⋻3861⨼⩣⋰*⋻1887)⋕⪉⪜(⋰*⋻105A⨻⩈⩔⋰*⋻2655))","cot":[{"info":"⋰*⋻1016⩇∃⫛⋰*⋻5238=⋰*⋻4612","layer":3},{"info":"⋰*⋻21A6∸=⋰*⋻151","layer":3},{"info":"⋰*⋻4612⫣⪄⊒⋰*⋻151=⋰*⋻136","layer":2},{"info":"⨴⫝⋰*⋻136=⋰*⋻166195A","layer":1},{"info":"⋰*⋻5876≀⩗∶⋰*⋻1269=⋰*⋻0","layer":3},{"info":"⋰*⋻0⪬∳=⋰*⋻-595","layer":2},{"info":"⋰*⋻3861⨼⩣⋰*⋻1887=NaN","layer":3},{"info":"⋰*⋻105A⨻⩈⩔⋰*⋻2655=⋰*⋻2096","layer":3},{"info":"NaN⋕⪉⪜⋰*⋻2096=⋰*⋻176","layer":2},{"info":"⋰*⋻-595⫔⩽⩺⋰*⋻176=NaN","layer":1},{"info":"⋰*⋻166195A⫲≸⪮NaN=NaN","layer":0}]}
{"id":75,"expression_no_base_symbol":"+⊝⨔((⪭⩑⪱$4334$)∺≝⩲($6853$⋾⨃∁$4133$)≀⩗∶(($5556$≎⊠⪸$1634$)⇋≉))","expression":"+⊝⨔((⪭⩑⪱⋰*⋻3290)∺≝⩲(⋰*⋻5170⋾⨃∁⋰*⋻3118)≀⩗∶((⋰*⋻41A1≎⊠⪸⋰*⋻1256)⇋≉))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":332564,"operation_count":7,"complexity_ratio":47509.142857142855,"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":4334,"base":11}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":6853,"base":11},"right_expr":{"type":"numeric_atoms","value":4133,"base":11}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5556,"base":11},"right_expr":{"type":"numeric_atoms","value":1634,"base":11}}}}},"used_operators":["DhbWaqg5eL","8INZBEW696","KPf6cnQVty","SIgE0bArFf","212REbPD9h","XIabStNQrY","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻1164","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4334","layer":4},{"info":"compute unary expreesion, input=4334, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=6853","layer":4},{"info":"number node, value=4133","layer":4},{"info":"compute binary expreesion, left_input=6853, right_input=4133, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=170767200","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=170767200, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=5556","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=5556, right_input=1634, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1438531","layer":3},{"info":"compute unary expreesion, input=1438531, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2876964","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2876964, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-53943","layer":1},{"info":"compute unary expreesion, input=-53943, 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":11,"result_base":11,"text":"+⊝⨔((⪭⩑⪱⋰*⋻3290)∺≝⩲(⋰*⋻5170⋾⨃∁⋰*⋻3118)≀⩗∶((⋰*⋻41A1≎⊠⪸⋰*⋻1256)⇋≉))=⋰*⋻1164","reverse_text":"⋰*⋻1164=+⊝⨔((⪭⩑⪱⋰*⋻3290)∺≝⩲(⋰*⋻5170⋾⨃∁⋰*⋻3118)≀⩗∶((⋰*⋻41A1≎⊠⪸⋰*⋻1256)⇋≉))","cot":[{"info":"⪭⩑⪱⋰*⋻3290=⋰*⋻4773560","layer":3},{"info":"⋰*⋻5170⋾⨃∁⋰*⋻3118=⋰*⋻88436A1A","layer":3},{"info":"⋰*⋻4773560∺≝⩲⋰*⋻88436A1A=⋰*⋻136","layer":2},{"info":"⋰*⋻41A1≎⊠⪸⋰*⋻1256=⋰*⋻8A2876","layer":3},{"info":"⋰*⋻8A2876⇋≉=⋰*⋻1695562","layer":2},{"info":"⋰*⋻136≀⩗∶⋰*⋻1695562=⋰*⋻-3758A","layer":1},{"info":"+⊝⨔⋰*⋻-3758A=⋰*⋻1164","layer":0}]}
{"id":76,"expression_no_base_symbol":"↩((($2449$≬⇓$2043$)≑≱⪘)/($2909$⇷$1311$)⨥⫆($6385$∊∟⩊$4585$))","expression":"↩(((⋰*⋻1927≬⇓⋰*⋻1598)≑≱⪘)/(⋰*⋻2205⇷⋰*⋻A92)⨥⫆(⋰*⋻4885∊∟⩊⋰*⋻3499))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41114,"operation_count":7,"complexity_ratio":5873.428571428572,"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":2449,"base":11},"right_expr":{"type":"numeric_atoms","value":2043,"base":11}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2909,"base":11},"right_expr":{"type":"numeric_atoms","value":1311,"base":11}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6385,"base":11},"right_expr":{"type":"numeric_atoms","value":4585,"base":11}}}}},"used_operators":["jLgFTUHLKL","XhwjNDsVaA","tGSeddj7UK","jWTQ2TZYIH","yXekIHxTD4","mp7IySMOzn","ddLRYrp01A"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⋰*⋻3968","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2449","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=2043, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=-234588","layer":2},{"info":"number node, value=2909","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=1311, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2622","layer":3},{"info":"number node, value=6385","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=6385, right_input=4585, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4585","layer":3},{"info":"compute binary expreesion, left_input=2622, right_input=4585, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9046","layer":2},{"info":"compute binary expreesion, left_input=-234588, right_input=9046, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-26","layer":1},{"info":"compute unary expreesion, input=-26, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5156","layer":0}],"base":11,"result_base":11,"text":"↩(((⋰*⋻1927≬⇓⋰*⋻1598)≑≱⪘)/(⋰*⋻2205⇷⋰*⋻A92)⨥⫆(⋰*⋻4885∊∟⩊⋰*⋻3499))=⋰*⋻3968","reverse_text":"⋰*⋻3968=↩(((⋰*⋻1927≬⇓⋰*⋻1598)≑≱⪘)/(⋰*⋻2205⇷⋰*⋻A92)⨥⫆(⋰*⋻4885∊∟⩊⋰*⋻3499))","cot":[{"info":"⋰*⋻1927≬⇓⋰*⋻1598=⋰*⋻-20","layer":3},{"info":"⋰*⋻-20≑≱⪘=⋰*⋻-150282","layer":2},{"info":"⋰*⋻2205⇷⋰*⋻A92=⋰*⋻1A74","layer":3},{"info":"⋰*⋻4885∊∟⩊⋰*⋻3499=⋰*⋻3499","layer":3},{"info":"⋰*⋻1A74⨥⫆⋰*⋻3499=⋰*⋻6884","layer":2},{"info":"⋰*⋻-150282/⋰*⋻6884=⋰*⋻-24","layer":1},{"info":"↩⋰*⋻-24=⋰*⋻3968","layer":0}]}
{"id":77,"expression_no_base_symbol":"(⪛⨧((⨩∲⋌$3580$)≧⫂∧(≅≯⇸$1659$)))⨔⇊($1761$≎⪠$1018$≚⊃≕($4727$⨒$5830$))↤⩊(⨈⪑($2730$∙⊟$1092$))","expression":"(⪛⨧((⨩∲⋌⋰*⋻2765)≧⫂∧(≅≯⇸⋰*⋻1279)))⨔⇊(⋰*⋻1361≎⪠⋰*⋻846≚⊃≕(⋰*⋻3608⨒⋰*⋻4420))↤⩊(⨈⪑(⋰*⋻2062∙⊟⋰*⋻903))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22230,"operation_count":11,"complexity_ratio":2020.909090909091,"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":3580,"base":11}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1659,"base":11}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1761,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4727,"base":11},"right_expr":{"type":"numeric_atoms","value":5830,"base":11}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2730,"base":11},"right_expr":{"type":"numeric_atoms","value":1092,"base":11}}}}},"used_operators":["JclMnS0uGI","6NJAcO2OWT","Ph9nP6C5qx","aSik1wnThz","apS25hmuAe","13rbtpv6ld","Bmrmz2XGnR","aNhz54LH3e","y75s1iXyHd","mp94q5OcYM","SxTAKzQCrw"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","EBcxylXtPf","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3580","layer":4},{"info":"compute unary expreesion, input=3580, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4103","layer":3},{"info":"number node, value=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=14313","layer":3},{"info":"compute binary expreesion, left_input=-4103, right_input=14313, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=13840","layer":2},{"info":"compute unary expreesion, input=13840, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=29081","layer":1},{"info":"number node, value=1761","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=1018, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=4727","layer":4},{"info":"number node, value=5830","layer":4},{"info":"compute binary expreesion, left_input=4727, right_input=5830, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-27990","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-27990, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=22086","layer":2},{"info":"number node, value=2730","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=2730, right_input=1092, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=45336","layer":3},{"info":"compute unary expreesion, input=45336, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=22086, right_input=868, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=29081, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪛⨧((⨩∲⋌⋰*⋻2765)≧⫂∧(≅≯⇸⋰*⋻1279)))⨔⇊(⋰*⋻1361≎⪠⋰*⋻846≚⊃≕(⋰*⋻3608⨒⋰*⋻4420))↤⩊(⨈⪑(⋰*⋻2062∙⊟⋰*⋻903))=NaN","reverse_text":"NaN=(⪛⨧((⨩∲⋌⋰*⋻2765)≧⫂∧(≅≯⇸⋰*⋻1279)))⨔⇊(⋰*⋻1361≎⪠⋰*⋻846≚⊃≕(⋰*⋻3608⨒⋰*⋻4420))↤⩊(⨈⪑(⋰*⋻2062∙⊟⋰*⋻903))","cot":[{"info":"⨩∲⋌⋰*⋻2765=⋰*⋻-30A0","layer":3},{"info":"≅≯⇸⋰*⋻1279=⋰*⋻A832","layer":3},{"info":"⋰*⋻-30A0≧⫂∧⋰*⋻A832=⋰*⋻A442","layer":2},{"info":"⪛⨧⋰*⋻A442=⋰*⋻1A938","layer":1},{"info":"⋰*⋻1361≎⪠⋰*⋻846=⋰*⋻13770","layer":3},{"info":"⋰*⋻3608⨒⋰*⋻4420=⋰*⋻-1A036","layer":3},{"info":"⋰*⋻13770≚⊃≕⋰*⋻-1A036=⋰*⋻15659","layer":2},{"info":"⋰*⋻2062∙⊟⋰*⋻903=⋰*⋻31075","layer":3},{"info":"⨈⪑⋰*⋻31075=⋰*⋻71A","layer":2},{"info":"⋰*⋻15659↤⩊⋰*⋻71A=NaN","layer":1},{"info":"⋰*⋻1A938⨔⇊NaN=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"↨(∷≠($1135$⩍⋽⫝̸$4747$)∳⫺($3759$⇍⊗$8583$))","expression":"↨(∷≠(⋰*⋻942⩍⋽⫝̸⋰*⋻3626)∳⫺(⋰*⋻2908⇍⊗⋰*⋻64A3))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1800,"operation_count":5,"complexity_ratio":360.0,"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":1135,"base":11},"right_expr":{"type":"numeric_atoms","value":4747,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3759,"base":11},"right_expr":{"type":"numeric_atoms","value":8583,"base":11}}}}},"used_operators":["jiX4gk2v2Q","QiR2Oyf5Xj","AzXXKTstlj","BiWNJpBvwn","5uvYHDjeKN"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","7j4O788W3g","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Ph9nP6C5qx","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=4747","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=4747, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3801","layer":3},{"info":"number node, value=3759","layer":4},{"info":"number node, value=8583","layer":4},{"info":"compute binary expreesion, left_input=3759, right_input=8583, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=3801, right_input=-244, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"↨(∷≠(⋰*⋻942⩍⋽⫝̸⋰*⋻3626)∳⫺(⋰*⋻2908⇍⊗⋰*⋻64A3))=⋰*⋻0","reverse_text":"⋰*⋻0=↨(∷≠(⋰*⋻942⩍⋽⫝̸⋰*⋻3626)∳⫺(⋰*⋻2908⇍⊗⋰*⋻64A3))","cot":[{"info":"⋰*⋻942⩍⋽⫝̸⋰*⋻3626=⋰*⋻2946","layer":3},{"info":"⋰*⋻2908⇍⊗⋰*⋻64A3=⋰*⋻-202","layer":3},{"info":"⋰*⋻2946∳⫺⋰*⋻-202=⋰*⋻-217","layer":2},{"info":"∷≠⋰*⋻-217=⋰*⋻-217","layer":1},{"info":"↨⋰*⋻-217=⋰*⋻0","layer":0}]}
{"id":79,"expression_no_base_symbol":"↸⊣(((⊁⨺$1092$)∙⊟$1357$⨔≚≋$2038$)⪕($7333$↞⋁$1865$∷))","expression":"↸⊣(((⊁⨺⋰*⋻903)∙⊟⋰*⋻1024⨔≚≋⋰*⋻1593)⪕(⋰*⋻5567↞⋁⋰*⋻1446∷))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":483,"operation_count":7,"complexity_ratio":69.0,"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":1092,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1357,"base":11},"right_expr":{"type":"numeric_atoms","value":2038,"base":11}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":7333,"base":11},"right_expr":{"type":"numeric_atoms","value":1865,"base":11}}}}},"used_operators":["wztAlM01eG","umQnsF7QlU","SxTAKzQCrw","PxiHyQbrIp","Z57zeUYC9z","nFAOW8KTqp","RqrPlJkxDo"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⋰*⋻-53A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=2038","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=2038, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=9872, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=20205","layer":2},{"info":"number node, value=7333","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=7333, right_input=1865, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20205, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute unary expreesion, input=935, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-648","layer":0}],"base":11,"result_base":11,"text":"↸⊣(((⊁⨺⋰*⋻903)∙⊟⋰*⋻1024⨔≚≋⋰*⋻1593)⪕(⋰*⋻5567↞⋁⋰*⋻1446∷))=⋰*⋻-53A","reverse_text":"⋰*⋻-53A=↸⊣(((⊁⨺⋰*⋻903)∙⊟⋰*⋻1024⨔≚≋⋰*⋻1593)⪕(⋰*⋻5567↞⋁⋰*⋻1446∷))","cot":[{"info":"⊁⨺⋰*⋻903=⋰*⋻136","layer":3},{"info":"⋰*⋻1024⨔≚≋⋰*⋻1593=⋰*⋻7465","layer":3},{"info":"⋰*⋻136∙⊟⋰*⋻7465=⋰*⋻141A9","layer":2},{"info":"⋰*⋻5567↞⋁⋰*⋻1446=NaN","layer":3},{"info":"NaN∷=NaN","layer":2},{"info":"⋰*⋻141A9⪕NaN=⋰*⋻780","layer":1},{"info":"↸⊣⋰*⋻780=⋰*⋻-53A","layer":0}]}
{"id":80,"expression_no_base_symbol":"(∓($6894$⪹)⋕⪉⪜(⊑$2944$))⫗⊷⫓(((→⩰$1101$)≳⇉$1871$⇴$5692$)⇗⋫)","expression":"(∓(⋰*⋻51A8⪹)⋕⪉⪜(⊑⋰*⋻2237))⫗⊷⫓(((→⩰⋰*⋻911)≳⇉⋰*⋻1451⇴⋰*⋻4305)⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":111970,"operation_count":9,"complexity_ratio":12441.111111111111,"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":6894,"base":11}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2944,"base":11}}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1101,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1871,"base":11},"right_expr":{"type":"numeric_atoms","value":5692,"base":11}}}}},"used_operators":["zashukvMKz","OwUj7dcsQK","z6LnFrNh4i","B3sABdIn96","IkUmn0D7oy","hpqmaQFPrd","V0kx6qeWkN","o8Pngz0Tml","4JB6nKBMSY"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rxpJgHHUmx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6894","layer":4},{"info":"compute unary expreesion, input=6894, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=18280","layer":3},{"info":"number node, value=2944","layer":4},{"info":"compute unary expreesion, input=2944, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=18280, right_input=192, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute unary expreesion, input=2802, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-46902","layer":1},{"info":"number node, value=1101","layer":4},{"info":"compute unary expreesion, input=1101, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=1871","layer":4},{"info":"number node, value=5692","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=5692, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=22224","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22224, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-46902, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"(∓(⋰*⋻51A8⪹)⋕⪉⪜(⊑⋰*⋻2237))⫗⊷⫓(((→⩰⋰*⋻911)≳⇉⋰*⋻1451⇴⋰*⋻4305)⇗⋫)=⋰*⋻-112","reverse_text":"⋰*⋻-112=(∓(⋰*⋻51A8⪹)⋕⪉⪜(⊑⋰*⋻2237))⫗⊷⫓(((→⩰⋰*⋻911)≳⇉⋰*⋻1451⇴⋰*⋻4305)⇗⋫)","cot":[{"info":"⋰*⋻51A8⪹=⋰*⋻12809","layer":3},{"info":"⊑⋰*⋻2237=⋰*⋻165","layer":3},{"info":"⋰*⋻12809⋕⪉⪜⋰*⋻165=⋰*⋻2118","layer":2},{"info":"∓⋰*⋻2118=⋰*⋻-32269","layer":1},{"info":"→⩰⋰*⋻911=NaN","layer":3},{"info":"⋰*⋻1451⇴⋰*⋻4305=⋰*⋻15774","layer":3},{"info":"NaN≳⇉⋰*⋻15774=NaN","layer":2},{"info":"NaN⇗⋫=NaN","layer":1},{"info":"⋰*⋻-32269⫗⊷⫓NaN=⋰*⋻-112","layer":0}]}
{"id":81,"expression_no_base_symbol":"(∡$4252$⨐$8650$⪒⊣⊆($3864$∪⫐$1533$))⫃⨇(⇐($1737$⪚$1813$⫚↹⊑$1153$⨼⩣$1947$))","expression":"(∡⋰*⋻3216⨐⋰*⋻6554⪒⊣⊆(⋰*⋻29A3∪⫐⋰*⋻1174))⫃⨇(⇐(⋰*⋻133A⪚⋰*⋻13A9⫚↹⊑⋰*⋻959⨼⩣⋰*⋻1510))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":480,"operation_count":9,"complexity_ratio":53.333333333333336,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4252,"base":11},"right_expr":{"type":"numeric_atoms","value":8650,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3864,"base":11},"right_expr":{"type":"numeric_atoms","value":1533,"base":11}}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1737,"base":11},"right_expr":{"type":"numeric_atoms","value":1813,"base":11}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1153,"base":11},"right_expr":{"type":"numeric_atoms","value":1947,"base":11}}}}},"used_operators":["09Ly4LVMIf","pRsWfj4Fpp","eRqsBgTDFp","Noe24qw2ks","7YooWSwCyH","nmZMaaE0Q9","dfKe02y8D2","HrjLwUk87U","JxwMv5le6e"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","sdazOOVcIp","W4YGzv6Whe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"⋰*⋻4077","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4252","layer":4},{"info":"number node, value=8650","layer":4},{"info":"compute binary expreesion, left_input=4252, right_input=8650, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8504","layer":3},{"info":"number node, value=3864","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=3864, right_input=1533, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3864","layer":3},{"info":"compute binary expreesion, left_input=-8504, right_input=3864, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=24838","layer":2},{"info":"compute unary expreesion, input=24838, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-24838","layer":1},{"info":"number node, value=1737","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=1813, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-508","layer":3},{"info":"number node, value=1153","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1947, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-508, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1360","layer":1},{"info":"compute binary expreesion, left_input=-24838, right_input=-1360, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=5408","layer":0}],"base":11,"result_base":11,"text":"(∡⋰*⋻3216⨐⋰*⋻6554⪒⊣⊆(⋰*⋻29A3∪⫐⋰*⋻1174))⫃⨇(⇐(⋰*⋻133A⪚⋰*⋻13A9⫚↹⊑⋰*⋻959⨼⩣⋰*⋻1510))=⋰*⋻4077","reverse_text":"⋰*⋻4077=(∡⋰*⋻3216⨐⋰*⋻6554⪒⊣⊆(⋰*⋻29A3∪⫐⋰*⋻1174))⫃⨇(⇐(⋰*⋻133A⪚⋰*⋻13A9⫚↹⊑⋰*⋻959⨼⩣⋰*⋻1510))","cot":[{"info":"⋰*⋻3216⨐⋰*⋻6554=⋰*⋻-6431","layer":3},{"info":"⋰*⋻29A3∪⫐⋰*⋻1174=⋰*⋻29A3","layer":3},{"info":"⋰*⋻-6431⪒⊣⊆⋰*⋻29A3=⋰*⋻17730","layer":2},{"info":"∡⋰*⋻17730=⋰*⋻-17730","layer":1},{"info":"⋰*⋻133A⪚⋰*⋻13A9=⋰*⋻-422","layer":3},{"info":"⋰*⋻959⨼⩣⋰*⋻1510=NaN","layer":3},{"info":"⋰*⋻-422⫚↹⊑NaN=⋰*⋻-377","layer":2},{"info":"⇐⋰*⋻-377=⋰*⋻-1027","layer":1},{"info":"⋰*⋻-17730⫃⨇⋰*⋻-1027=⋰*⋻4077","layer":0}]}
{"id":82,"expression_no_base_symbol":"(($2106$⫒⫫$2046$)∋(-$1195$)⋓(($6115$⩹$1445$)⨸⪁($1393$⪨≂$5335$)))≒∊(($3272$≀⩗∶$1066$⫡⨏$5145$≒∊$4096$)≒∊(($1113$⨉)⪎⩰))","expression":"((⋰*⋻1645⫒⫫⋰*⋻15A0)∋(-⋰*⋻997)⋓((⋰*⋻465A⩹⋰*⋻10A4)⨸⪁(⋰*⋻1057⪨≂⋰*⋻4010)))≒∊((⋰*⋻2505≀⩗∶⋰*⋻88A⫡⨏⋰*⋻3958≒∊⋰*⋻3094)≒∊((⋰*⋻922⨉)⪎⩰))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1321,"operation_count":14,"complexity_ratio":94.35714285714286,"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":2106,"base":11},"right_expr":{"type":"numeric_atoms","value":2046,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1195,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":6115,"base":11},"right_expr":{"type":"numeric_atoms","value":1445,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1393,"base":11},"right_expr":{"type":"numeric_atoms","value":5335,"base":11}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3272,"base":11},"right_expr":{"type":"numeric_atoms","value":1066,"base":11}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5145,"base":11},"right_expr":{"type":"numeric_atoms","value":4096,"base":11}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1113,"base":11}}}}},"used_operators":["5KTvxBwnZo","T2fj7uvVaJ","ukq6epAj5P","6Ko8hGgeMq","t8gj7n24qd","g55IO6H4Gj","2Wsdkap16l","sdazOOVcIp","QMFrweE19q","8INZBEW696","2ufhKmSs5H","aMUSaJuDRU"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"⋰*⋻400","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2106","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=2046, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1195","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1195, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"number node, value=6115","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=6115, right_input=1445, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1443","layer":3},{"info":"number node, value=1393","layer":4},{"info":"number node, value=5335","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=5335, 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=-7782","layer":3},{"info":"compute binary expreesion, left_input=1443, right_input=-7782, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-12678","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12678, 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=3272","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=1066, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=5145","layer":4},{"info":"number node, value=4096","layer":4},{"info":"compute binary expreesion, left_input=5145, right_input=4096, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4661","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4661, 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=-8539","layer":2},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4554","layer":3},{"info":"compute unary expreesion, input=4554, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":2},{"info":"compute binary expreesion, left_input=-8539, right_input=-34, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=9023","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9023, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1645⫒⫫⋰*⋻15A0)∋(-⋰*⋻997)⋓((⋰*⋻465A⩹⋰*⋻10A4)⨸⪁(⋰*⋻1057⪨≂⋰*⋻4010)))≒∊((⋰*⋻2505≀⩗∶⋰*⋻88A⫡⨏⋰*⋻3958≒∊⋰*⋻3094)≒∊((⋰*⋻922⨉)⪎⩰))=⋰*⋻400","reverse_text":"⋰*⋻400=((⋰*⋻1645⫒⫫⋰*⋻15A0)∋(-⋰*⋻997)⋓((⋰*⋻465A⩹⋰*⋻10A4)⨸⪁(⋰*⋻1057⪨≂⋰*⋻4010)))≒∊((⋰*⋻2505≀⩗∶⋰*⋻88A⫡⨏⋰*⋻3958≒∊⋰*⋻3094)≒∊((⋰*⋻922⨉)⪎⩰))","cot":[{"info":"⋰*⋻1645⫒⫫⋰*⋻15A0=NaN","layer":3},{"info":"-⋰*⋻997=⋰*⋻-997","layer":3},{"info":"NaN∋⋰*⋻-997=NaN","layer":2},{"info":"⋰*⋻465A⩹⋰*⋻10A4=⋰*⋻10A2","layer":3},{"info":"⋰*⋻1057⪨≂⋰*⋻4010=⋰*⋻-5935","layer":3},{"info":"⋰*⋻10A2⨸⪁⋰*⋻-5935=⋰*⋻-9586","layer":2},{"info":"NaN⋓⋰*⋻-9586=⋰*⋻0","layer":1},{"info":"⋰*⋻2505≀⩗∶⋰*⋻88A=⋰*⋻0","layer":3},{"info":"⋰*⋻3958≒∊⋰*⋻3094=⋰*⋻-3558","layer":3},{"info":"⋰*⋻0⫡⨏⋰*⋻-3558=⋰*⋻-6463","layer":2},{"info":"⋰*⋻922⨉=⋰*⋻3470","layer":3},{"info":"⋰*⋻3470⪎⩰=⋰*⋻-31","layer":2},{"info":"⋰*⋻-6463≒∊⋰*⋻-31=⋰*⋻6863","layer":1},{"info":"⋰*⋻0≒∊⋰*⋻6863=⋰*⋻400","layer":0}]}
{"id":83,"expression_no_base_symbol":"(⊽($3907$⪎↠$2966$⇄$9581$⪭$3403$))⨳⩥⨓((⊵⊁$6402$)⨪↰⇹(⇐$7408$))⩣⫁∢(($1447$∐⫣)∝$4356$≎⊠⪸$1327$)","expression":"(⊽(⋰*⋻2A32⪎↠⋰*⋻2257⇄⋰*⋻7220⪭⋰*⋻2614))⨳⩥⨓((⊵⊁⋰*⋻48A0)⨪↰⇹(⇐⋰*⋻5625))⩣⫁∢((⋰*⋻10A6∐⫣)∝⋰*⋻3300≎⊠⪸⋰*⋻AA7)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37754,"operation_count":12,"complexity_ratio":3146.1666666666665,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3907,"base":11},"right_expr":{"type":"numeric_atoms","value":2966,"base":11}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":9581,"base":11},"right_expr":{"type":"numeric_atoms","value":3403,"base":11}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":6402,"base":11}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":7408,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1447,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4356,"base":11},"right_expr":{"type":"numeric_atoms","value":1327,"base":11}}}}},"used_operators":["nCS4ZIUYfx","QxG7OkqoLX","3EYGwJThht","3tVxb0NHM4","j9kHMeSvPp","JDUIKTTSIa","tmPS8pqC7x","AvED76WdY7","nmZMaaE0Q9","cTDWOvIxvz","4CyGpkTkEk","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","COABgblf1C","xUOZtlo3hN","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rJVOvQCfKK","uBihLCJcMX","k8jYdgA6NY","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻-52943","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3907","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=2966, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=9581","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=9581, right_input=3403, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=479","layer":2},{"info":"compute unary expreesion, input=479, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=2480","layer":1},{"info":"number node, value=6402","layer":4},{"info":"compute unary expreesion, input=6402, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=37342","layer":3},{"info":"number node, value=7408","layer":4},{"info":"compute unary expreesion, input=7408, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=3910","layer":3},{"info":"compute binary expreesion, left_input=37342, right_input=3910, 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=37342","layer":2},{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=4356","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=1327, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1127731","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=1127731, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=556","layer":2},{"info":"compute binary expreesion, left_input=37342, right_input=556, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-74523","layer":1},{"info":"compute binary expreesion, left_input=2480, right_input=-74523, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-77003","layer":0}],"base":11,"result_base":11,"text":"(⊽(⋰*⋻2A32⪎↠⋰*⋻2257⇄⋰*⋻7220⪭⋰*⋻2614))⨳⩥⨓((⊵⊁⋰*⋻48A0)⨪↰⇹(⇐⋰*⋻5625))⩣⫁∢((⋰*⋻10A6∐⫣)∝⋰*⋻3300≎⊠⪸⋰*⋻AA7)=⋰*⋻-52943","reverse_text":"⋰*⋻-52943=(⊽(⋰*⋻2A32⪎↠⋰*⋻2257⇄⋰*⋻7220⪭⋰*⋻2614))⨳⩥⨓((⊵⊁⋰*⋻48A0)⨪↰⇹(⇐⋰*⋻5625))⩣⫁∢((⋰*⋻10A6∐⫣)∝⋰*⋻3300≎⊠⪸⋰*⋻AA7)","cot":[{"info":"⋰*⋻2A32⪎↠⋰*⋻2257=⋰*⋻136","layer":3},{"info":"⋰*⋻7220⪭⋰*⋻2614=⋰*⋻5","layer":3},{"info":"⋰*⋻136⇄⋰*⋻5=⋰*⋻3A6","layer":2},{"info":"⊽⋰*⋻3A6=⋰*⋻1955","layer":1},{"info":"⊵⊁⋰*⋻48A0=⋰*⋻26068","layer":3},{"info":"⇐⋰*⋻5625=⋰*⋻2A35","layer":3},{"info":"⋰*⋻26068⨪↰⇹⋰*⋻2A35=⋰*⋻26068","layer":2},{"info":"⋰*⋻10A6∐⫣=⋰*⋻461","layer":3},{"info":"⋰*⋻3300≎⊠⪸⋰*⋻AA7=⋰*⋻700310","layer":3},{"info":"⋰*⋻461∝⋰*⋻700310=⋰*⋻466","layer":2},{"info":"⋰*⋻26068⩣⫁∢⋰*⋻466=⋰*⋻-50A99","layer":1},{"info":"⋰*⋻1955⨳⩥⨓⋰*⋻-50A99=⋰*⋻-52943","layer":0}]}
{"id":84,"expression_no_base_symbol":"($3865$∺≝⩲$3693$⇗⋫)≁↽≥(($1016$⪚$1964$)↤⩊($4190$≧⫂∧$5947$))+(($7812$≌$1492$∕⩚(⊢≑≆$1551$))⫏⊷)","expression":"(⋰*⋻29A4∺≝⩲⋰*⋻2858⇗⋫)≁↽≥((⋰*⋻844⪚⋰*⋻1526)↤⩊(⋰*⋻316A≧⫂∧⋰*⋻4517))+((⋰*⋻5962≌⋰*⋻1137∕⩚(⊢≑≆⋰*⋻1190))⫏⊷)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2004,"operation_count":11,"complexity_ratio":182.1818181818182,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3865,"base":11},"right_expr":{"type":"numeric_atoms","value":3693,"base":11}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":1964,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4190,"base":11},"right_expr":{"type":"numeric_atoms","value":5947,"base":11}}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":7812,"base":11},"right_expr":{"type":"numeric_atoms","value":1492,"base":11}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1551,"base":11}}}}},"used_operators":["W4YGzv6Whe","ncHt1X6cMc","hpqmaQFPrd","KPf6cnQVty","13rbtpv6ld","HrjLwUk87U","Ph9nP6C5qx","dcShxvzhyw","z9ffQ9n5Zr","lyWz822IDG","27wFxooxGf"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","rxpJgHHUmx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3865","layer":4},{"info":"number node, value=3693","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=3693, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=1016","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1964, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2252","layer":3},{"info":"number node, value=4190","layer":4},{"info":"number node, value=5947","layer":4},{"info":"compute binary expreesion, left_input=4190, right_input=5947, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5474","layer":3},{"info":"compute binary expreesion, left_input=-2252, right_input=5474, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"number node, value=7812","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=7812, right_input=1492, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1551","layer":4},{"info":"compute unary expreesion, input=1551, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=6656","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6656, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(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":11,"result_base":11,"text":"(⋰*⋻29A4∺≝⩲⋰*⋻2858⇗⋫)≁↽≥((⋰*⋻844⪚⋰*⋻1526)↤⩊(⋰*⋻316A≧⫂∧⋰*⋻4517))+((⋰*⋻5962≌⋰*⋻1137∕⩚(⊢≑≆⋰*⋻1190))⫏⊷)=NaN","reverse_text":"NaN=(⋰*⋻29A4∺≝⩲⋰*⋻2858⇗⋫)≁↽≥((⋰*⋻844⪚⋰*⋻1526)↤⩊(⋰*⋻316A≧⫂∧⋰*⋻4517))+((⋰*⋻5962≌⋰*⋻1137∕⩚(⊢≑≆⋰*⋻1190))⫏⊷)","cot":[{"info":"⋰*⋻29A4∺≝⩲⋰*⋻2858=⋰*⋻136","layer":3},{"info":"⋰*⋻136⇗⋫=NaN","layer":2},{"info":"⋰*⋻844⪚⋰*⋻1526=⋰*⋻-1768","layer":3},{"info":"⋰*⋻316A≧⫂∧⋰*⋻4517=⋰*⋻4127","layer":3},{"info":"⋰*⋻-1768↤⩊⋰*⋻4127=NaN","layer":2},{"info":"NaN≁↽≥NaN=NaN","layer":1},{"info":"⋰*⋻5962≌⋰*⋻1137=NaN","layer":3},{"info":"⊢≑≆⋰*⋻1190=⋰*⋻5001","layer":3},{"info":"NaN∕⩚⋰*⋻5001=NaN","layer":2},{"info":"NaN⫏⊷=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"(($1159$⊬⨰$4821$)⫘($2715$∷$1495$)⋷($5020$≄⊠$2785$⪁$5051$⪔$3684$))∝($4949$⋕⪉⪜$1195$⫸⊐($4523$⊍)⊭↱(↩⪖($5545$⨴∎)))","expression":"((⋰*⋻964⊬⨰⋰*⋻3693)⫘(⋰*⋻2049∷⋰*⋻113A)⋷(⋰*⋻3854≄⊠⋰*⋻2102⪁⋰*⋻3882⪔⋰*⋻284A))∝(⋰*⋻379A⋕⪉⪜⋰*⋻997⫸⊐(⋰*⋻3442⊍)⊭↱(↩⪖(⋰*⋻4191⨴∎)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3144407,"operation_count":14,"complexity_ratio":224600.5,"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":1159,"base":11},"right_expr":{"type":"numeric_atoms","value":4821,"base":11}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2715,"base":11},"right_expr":{"type":"numeric_atoms","value":1495,"base":11}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5020,"base":11},"right_expr":{"type":"numeric_atoms","value":2785,"base":11}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5051,"base":11},"right_expr":{"type":"numeric_atoms","value":3684,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4949,"base":11},"right_expr":{"type":"numeric_atoms","value":1195,"base":11}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":4523,"base":11}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":5545,"base":11}}}}},"used_operators":["cTDWOvIxvz","23Mk6UjR3U","48vC8HMD2b","s3Fd5m9Dh2","D3AQDKkPcf","I7sXao9hZE","vXNesLlMH1","GjBEYRfMaF","COABgblf1C","mqXw5SEYmG","z6LnFrNh4i","3nqY3DE9mg","fG6uBQFnGz","CpSg5vQTgA"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1159","layer":4},{"info":"number node, value=4821","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=4821, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=19387","layer":3},{"info":"number node, value=2715","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=1495, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1495","layer":3},{"info":"compute binary expreesion, left_input=19387, right_input=1495, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=22803517","layer":2},{"info":"number node, value=5020","layer":4},{"info":"number node, value=2785","layer":4},{"info":"compute binary expreesion, left_input=5020, right_input=2785, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=49228","layer":3},{"info":"number node, value=5051","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=5051, right_input=3684, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=49228, right_input=450, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22803517, 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=4949","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=4949, right_input=1195, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=4523","layer":4},{"info":"compute unary expreesion, input=4523, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=11889","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=11889, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=47431","layer":2},{"info":"number node, value=5545","layer":4},{"info":"compute unary expreesion, input=5545, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=47431, 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 = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻964⊬⨰⋰*⋻3693)⫘(⋰*⋻2049∷⋰*⋻113A)⋷(⋰*⋻3854≄⊠⋰*⋻2102⪁⋰*⋻3882⪔⋰*⋻284A))∝(⋰*⋻379A⋕⪉⪜⋰*⋻997⫸⊐(⋰*⋻3442⊍)⊭↱(↩⪖(⋰*⋻4191⨴∎)))=NaN","reverse_text":"NaN=((⋰*⋻964⊬⨰⋰*⋻3693)⫘(⋰*⋻2049∷⋰*⋻113A)⋷(⋰*⋻3854≄⊠⋰*⋻2102⪁⋰*⋻3882⪔⋰*⋻284A))∝(⋰*⋻379A⋕⪉⪜⋰*⋻997⫸⊐(⋰*⋻3442⊍)⊭↱(↩⪖(⋰*⋻4191⨴∎)))","cot":[{"info":"⋰*⋻964⊬⨰⋰*⋻3693=⋰*⋻13625","layer":3},{"info":"⋰*⋻2049∷⋰*⋻113A=⋰*⋻113A","layer":3},{"info":"⋰*⋻13625⫘⋰*⋻113A=⋰*⋻11965690","layer":2},{"info":"⋰*⋻3854≄⊠⋰*⋻2102=⋰*⋻33A93","layer":3},{"info":"⋰*⋻3882⪔⋰*⋻284A=⋰*⋻37A","layer":3},{"info":"⋰*⋻33A93⪁⋰*⋻37A=NaN","layer":2},{"info":"⋰*⋻11965690⋷NaN=NaN","layer":1},{"info":"⋰*⋻379A⋕⪉⪜⋰*⋻997=⋰*⋻2118","layer":3},{"info":"⋰*⋻3442⊍=⋰*⋻8A29","layer":3},{"info":"⋰*⋻2118⫸⊐⋰*⋻8A29=⋰*⋻326AA","layer":2},{"info":"⋰*⋻4191⨴∎=NaN","layer":3},{"info":"↩⪖NaN=NaN","layer":2},{"info":"⋰*⋻326AA⊭↱NaN=NaN","layer":1},{"info":"NaN∝NaN=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"((⫟$3193$⪇≇⋚$1538$)⋻⩜⩜($3405$⇼⇔∾$1052$)⨐(⩷$2245$))≁((($1055$⋭≵$3475$)⨌↪)⩁⩘($8327$≥⨤⩑$3419$)∳⫺($2129$⋅⇍$5933$))","expression":"((⫟⋰*⋻2443⪇≇⋚⋰*⋻1179)⋻⩜⩜(⋰*⋻2616⇼⇔∾⋰*⋻877)⨐(⩷⋰*⋻1761))≁(((⋰*⋻87A⋭≵⋰*⋻267A)⨌↪)⩁⩘(⋰*⋻6290≥⨤⩑⋰*⋻2629)∳⫺(⋰*⋻1666⋅⇍⋰*⋻4504))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":66174,"operation_count":13,"complexity_ratio":5090.307692307692,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3193,"base":11},"right_expr":{"type":"numeric_atoms","value":1538,"base":11}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3405,"base":11},"right_expr":{"type":"numeric_atoms","value":1052,"base":11}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2245,"base":11}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1055,"base":11},"right_expr":{"type":"numeric_atoms","value":3475,"base":11}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":8327,"base":11},"right_expr":{"type":"numeric_atoms","value":3419,"base":11}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2129,"base":11},"right_expr":{"type":"numeric_atoms","value":5933,"base":11}}}}},"used_operators":["8N2wDY1A35","oDCm7WA9JY","z4E1FaHLuy","3sJ7IOPOlU","Noe24qw2ks","tifHPKVTfV","1h0rLqGiFr","gub5Cegaqo","cWQsF5MvuD","jBncVCNhdl","AzXXKTstlj","gJLn6v0xnP","AdZkA7nFnk"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","DpFCA1CohY","IWmyXbctLI","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⋰*⋻-98A8","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3193","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=1538, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=907","layer":2},{"info":"number node, value=3405","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=3405, right_input=1052, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2353","layer":3},{"info":"number node, value=2245","layer":4},{"info":"compute unary expreesion, input=2245, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-27019","layer":3},{"info":"compute binary expreesion, left_input=-2353, right_input=-27019, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=4706","layer":2},{"info":"compute binary expreesion, left_input=907, right_input=4706, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1814","layer":1},{"info":"number node, value=1055","layer":4},{"info":"number node, value=3475","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=3475, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5295","layer":3},{"info":"compute unary expreesion, input=5295, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"number node, value=8327","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=8327, right_input=3419, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2129","layer":4},{"info":"number node, value=5933","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=5933, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-22, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=-260, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-92","layer":1},{"info":"compute binary expreesion, left_input=1814, right_input=-92, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-13065","layer":0}],"base":11,"result_base":11,"text":"((⫟⋰*⋻2443⪇≇⋚⋰*⋻1179)⋻⩜⩜(⋰*⋻2616⇼⇔∾⋰*⋻877)⨐(⩷⋰*⋻1761))≁(((⋰*⋻87A⋭≵⋰*⋻267A)⨌↪)⩁⩘(⋰*⋻6290≥⨤⩑⋰*⋻2629)∳⫺(⋰*⋻1666⋅⇍⋰*⋻4504))=⋰*⋻-98A8","reverse_text":"⋰*⋻-98A8=((⫟⋰*⋻2443⪇≇⋚⋰*⋻1179)⋻⩜⩜(⋰*⋻2616⇼⇔∾⋰*⋻877)⨐(⩷⋰*⋻1761))≁(((⋰*⋻87A⋭≵⋰*⋻267A)⨌↪)⩁⩘(⋰*⋻6290≥⨤⩑⋰*⋻2629)∳⫺(⋰*⋻1666⋅⇍⋰*⋻4504))","cot":[{"info":"⋰*⋻2443⪇≇⋚⋰*⋻1179=⋰*⋻0","layer":3},{"info":"⫟⋰*⋻0=⋰*⋻755","layer":2},{"info":"⋰*⋻2616⇼⇔∾⋰*⋻877=⋰*⋻-184A","layer":3},{"info":"⩷⋰*⋻1761=⋰*⋻-19333","layer":3},{"info":"⋰*⋻-184A⨐⋰*⋻-19333=⋰*⋻3599","layer":2},{"info":"⋰*⋻755⋻⩜⩜⋰*⋻3599=⋰*⋻13AA","layer":1},{"info":"⋰*⋻87A⋭≵⋰*⋻267A=⋰*⋻3A84","layer":3},{"info":"⋰*⋻3A84⨌↪=⋰*⋻-3A7","layer":2},{"info":"⋰*⋻6290≥⨤⩑⋰*⋻2629=⋰*⋻A22","layer":3},{"info":"⋰*⋻1666⋅⇍⋰*⋻4504=⋰*⋻-20","layer":3},{"info":"⋰*⋻A22∳⫺⋰*⋻-20=⋰*⋻-217","layer":2},{"info":"⋰*⋻-3A7⩁⩘⋰*⋻-217=⋰*⋻-84","layer":1},{"info":"⋰*⋻13AA≁⋰*⋻-84=⋰*⋻-98A8","layer":0}]}
{"id":87,"expression_no_base_symbol":"($2753$↞⋁$1633$⪘⨀)⇄($1532$↞⋁$2531$⊬⫿⊭)∖($1104$-$4792$)⩚⊴⇥$2177$+⪬∐$2573$≎⊠⪸($4979$⇣⩺⋵$3025$)⩁⩘$1050$⋹⋡⊁$1572$","expression":"(⋰*⋻2083↞⋁⋰*⋻1255⪘⨀)⇄(⋰*⋻1173↞⋁⋰*⋻19A1⊬⫿⊭)∖(⋰*⋻914-⋰*⋻3667)⩚⊴⇥⋰*⋻16AA+⪬∐⋰*⋻1A2A≎⊠⪸(⋰*⋻3817⇣⩺⋵⋰*⋻2300)⩁⩘⋰*⋻875⋹⋡⊁⋰*⋻11AA","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":268556,"operation_count":13,"complexity_ratio":20658.153846153848,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2753,"base":11},"right_expr":{"type":"numeric_atoms","value":1633,"base":11}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1532,"base":11},"right_expr":{"type":"numeric_atoms","value":2531,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1104,"base":11},"right_expr":{"type":"numeric_atoms","value":4792,"base":11}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2177,"base":11},"right_expr":{"type":"numeric_atoms","value":2573,"base":11}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4979,"base":11},"right_expr":{"type":"numeric_atoms","value":3025,"base":11}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1050,"base":11},"right_expr":{"type":"numeric_atoms","value":1572,"base":11}}}}},"used_operators":["tXD093vOjl","3EYGwJThht","aA7tF3KVD3","RqrPlJkxDo","v0DYgG9ikt","bJkvcejdHO","NTOWxs364D","rysDP5nf3Z","2GS7woTJqF","gub5Cegaqo","F4yD0voBRQ","As8RqfVLgs"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","IWmyXbctLI","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2753","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=1633, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":2},{"info":"number node, value=1532","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=2531, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"number node, value=1104","layer":4},{"info":"number node, value=4792","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=4792, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3688","layer":3},{"info":"number node, value=2177","layer":4},{"info":"number node, value=2573","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=2573, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6531","layer":3},{"info":"compute binary expreesion, left_input=-3688, right_input=-6531, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=10098","layer":2},{"info":"number node, value=4979","layer":4},{"info":"number node, value=3025","layer":4},{"info":"compute binary expreesion, left_input=4979, right_input=3025, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1572, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2322","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=2322, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10236","layer":2},{"info":"compute binary expreesion, left_input=10098, right_input=10236, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2614909","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2614909, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2083↞⋁⋰*⋻1255⪘⨀)⇄(⋰*⋻1173↞⋁⋰*⋻19A1⊬⫿⊭)∖(⋰*⋻914-⋰*⋻3667)⩚⊴⇥⋰*⋻16AA+⪬∐⋰*⋻1A2A≎⊠⪸(⋰*⋻3817⇣⩺⋵⋰*⋻2300)⩁⩘⋰*⋻875⋹⋡⊁⋰*⋻11AA=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻2083↞⋁⋰*⋻1255⪘⨀)⇄(⋰*⋻1173↞⋁⋰*⋻19A1⊬⫿⊭)∖(⋰*⋻914-⋰*⋻3667)⩚⊴⇥⋰*⋻16AA+⪬∐⋰*⋻1A2A≎⊠⪸(⋰*⋻3817⇣⩺⋵⋰*⋻2300)⩁⩘⋰*⋻875⋹⋡⊁⋰*⋻11AA","cot":[{"info":"⋰*⋻2083↞⋁⋰*⋻1255=NaN","layer":3},{"info":"NaN⪘⨀=NaN","layer":2},{"info":"⋰*⋻1173↞⋁⋰*⋻19A1=NaN","layer":3},{"info":"NaN⊬⫿⊭=NaN","layer":2},{"info":"NaN⇄NaN=NaN","layer":1},{"info":"⋰*⋻914-⋰*⋻3667=⋰*⋻-2853","layer":3},{"info":"⋰*⋻16AA+⪬∐⋰*⋻1A2A=⋰*⋻-49A8","layer":3},{"info":"⋰*⋻-2853⩚⊴⇥⋰*⋻-49A8=⋰*⋻7650","layer":2},{"info":"⋰*⋻3817⇣⩺⋵⋰*⋻2300=⋰*⋻-217","layer":3},{"info":"⋰*⋻875⋹⋡⊁⋰*⋻11AA=⋰*⋻1821","layer":3},{"info":"⋰*⋻-217⩁⩘⋰*⋻1821=⋰*⋻7766","layer":2},{"info":"⋰*⋻7650≎⊠⪸⋰*⋻7766=⋰*⋻1526690","layer":1},{"info":"NaN∖⋰*⋻1526690=⋰*⋻0","layer":0}]}
{"id":88,"expression_no_base_symbol":"((∓($3624$↙$2631$))⋅⇍$1046$⪒⊣⊆$1935$⫸⇳$6658$⪮%⊝$1561$)∴≳≥","expression":"((∓(⋰*⋻27A5↙⋰*⋻1A82))⋅⇍⋰*⋻871⪒⊣⊆⋰*⋻14AA⫸⇳⋰*⋻5003⪮%⊝⋰*⋻119A)∴≳≥","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2681,"operation_count":7,"complexity_ratio":383.0,"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":3624,"base":11},"right_expr":{"type":"numeric_atoms","value":2631,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1046,"base":11},"right_expr":{"type":"numeric_atoms","value":1935,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6658,"base":11},"right_expr":{"type":"numeric_atoms","value":1561,"base":11}}}}},"used_operators":["a3N2hFLK0J","AdZkA7nFnk","OwUj7dcsQK","yyfyN0ffXY","gx7XJ7hdpj","eRqsBgTDFp","IWmyXbctLI"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋰*⋻-80","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3624","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=3624, right_input=2631, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7893","layer":3},{"info":"compute unary expreesion, input=-7893, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=113523","layer":2},{"info":"number node, value=1046","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1935, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2092","layer":3},{"info":"number node, value=6658","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=6658, right_input=1561, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13632","layer":3},{"info":"compute binary expreesion, left_input=2092, right_input=13632, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=113523, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-88","layer":0}],"base":11,"result_base":11,"text":"((∓(⋰*⋻27A5↙⋰*⋻1A82))⋅⇍⋰*⋻871⪒⊣⊆⋰*⋻14AA⫸⇳⋰*⋻5003⪮%⊝⋰*⋻119A)∴≳≥=⋰*⋻-80","reverse_text":"⋰*⋻-80=((∓(⋰*⋻27A5↙⋰*⋻1A82))⋅⇍⋰*⋻871⪒⊣⊆⋰*⋻14AA⫸⇳⋰*⋻5003⪮%⊝⋰*⋻119A)∴≳≥","cot":[{"info":"⋰*⋻27A5↙⋰*⋻1A82=⋰*⋻-5A26","layer":3},{"info":"∓⋰*⋻-5A26=⋰*⋻78323","layer":2},{"info":"⋰*⋻871⪒⊣⊆⋰*⋻14AA=⋰*⋻1632","layer":3},{"info":"⋰*⋻5003⪮%⊝⋰*⋻119A=⋰*⋻A273","layer":3},{"info":"⋰*⋻1632⫸⇳⋰*⋻A273=⋰*⋻0","layer":2},{"info":"⋰*⋻78323⋅⇍⋰*⋻0=⋰*⋻-20","layer":1},{"info":"⋰*⋻-20∴≳≥=⋰*⋻-80","layer":0}]}
{"id":89,"expression_no_base_symbol":"($1947$⩦$1134$⊬⫿⊭)⫁((⪡⇡≛$1044$)⪒(⊖$1252$))≚⊃≕(⇺⋃(⨵≀≌(⩷⨜⫀$2066$)))","expression":"(⋰*⋻1510⩦⋰*⋻941⊬⫿⊭)⫁((⪡⇡≛⋰*⋻86A)⪒(⊖⋰*⋻A39))≚⊃≕(⇺⋃(⨵≀≌(⩷⨜⫀⋰*⋻1609)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2051,"operation_count":10,"complexity_ratio":205.1,"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":1947,"base":11},"right_expr":{"type":"numeric_atoms","value":1134,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1044,"base":11}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1252,"base":11}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2066,"base":11}}}}},"used_operators":["Bmrmz2XGnR","0ajvFaJAv0","v0DYgG9ikt","0kmYd0q39Y","f6k1SAg4EE","qL4PrbW1Dq","U6pG0PXrV3","E5v5B3UAjG","srAu1WTS94","CDi0ktkjQ4"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","ruOEQAzv1W","nhYeJWJD5X"],"result":"⋰*⋻-3038","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1947","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=1134, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3894","layer":3},{"info":"compute unary expreesion, input=3894, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-11682","layer":2},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1044","layer":3},{"info":"number node, value=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1044, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1044","layer":2},{"info":"compute binary expreesion, left_input=-11682, right_input=1044, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1793","layer":3},{"info":"compute unary expreesion, input=-1793, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=3214849","layer":2},{"info":"compute unary expreesion, input=3214849, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-4034","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1510⩦⋰*⋻941⊬⫿⊭)⫁((⪡⇡≛⋰*⋻86A)⪒(⊖⋰*⋻A39))≚⊃≕(⇺⋃(⨵≀≌(⩷⨜⫀⋰*⋻1609)))=⋰*⋻-3038","reverse_text":"⋰*⋻-3038=(⋰*⋻1510⩦⋰*⋻941⊬⫿⊭)⫁((⪡⇡≛⋰*⋻86A)⪒(⊖⋰*⋻A39))≚⊃≕(⇺⋃(⨵≀≌(⩷⨜⫀⋰*⋻1609)))","cot":[{"info":"⋰*⋻1510⩦⋰*⋻941=⋰*⋻2A20","layer":3},{"info":"⋰*⋻2A20⊬⫿⊭=⋰*⋻-8860","layer":2},{"info":"⪡⇡≛⋰*⋻86A=⋰*⋻-86A","layer":3},{"info":"⊖⋰*⋻A39=⋰*⋻0","layer":3},{"info":"⋰*⋻-86A⪒⋰*⋻0=⋰*⋻86A","layer":2},{"info":"⋰*⋻-8860⫁⋰*⋻86A=⋰*⋻136","layer":1},{"info":"⩷⨜⫀⋰*⋻1609=⋰*⋻-1390","layer":3},{"info":"⨵≀≌⋰*⋻-1390=⋰*⋻18A6400","layer":2},{"info":"⇺⋃⋰*⋻18A6400=NaN","layer":1},{"info":"⋰*⋻136≚⊃≕NaN=⋰*⋻-3038","layer":0}]}
{"id":90,"expression_no_base_symbol":"(≦∁$4904$)⋓($2972$⊭∹↮)∙⊟($3228$⇴$2716$)⪃⊛⇣($3465$⨂≜$2112$)⩨(⫯(↥≼⋛$3208$))⪢(≅≯⇸$3060$⨳⩥⨓$1689$)","expression":"(≦∁⋰*⋻3759)⋓(⋰*⋻2262⊭∹↮)∙⊟(⋰*⋻2475⇴⋰*⋻204A)⪃⊛⇣(⋰*⋻2670⨂≜⋰*⋻1650)⩨(⫯(↥≼⋛⋰*⋻2457))⪢(≅≯⇸⋰*⋻2332⨳⩥⨓⋰*⋻12A6)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7666,"operation_count":13,"complexity_ratio":589.6923076923077,"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":4904,"base":11}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2972,"base":11}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3228,"base":11},"right_expr":{"type":"numeric_atoms","value":2716,"base":11}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3465,"base":11},"right_expr":{"type":"numeric_atoms","value":2112,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":3208,"base":11}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3060,"base":11},"right_expr":{"type":"numeric_atoms","value":1689,"base":11}}}}},"used_operators":["2DlMacCsIx","SxTAKzQCrw","T2fj7uvVaJ","9ICcGScMcE","xNBdhnnwKq","rrgAzCduG9","4JB6nKBMSY","k1SHOSEABc","dWAJyo7jo9","H6BK1Evt7c","x5lMkHmzsq","apS25hmuAe","nCS4ZIUYfx"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","k8jYdgA6NY","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4904","layer":4},{"info":"compute unary expreesion, input=4904, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4904","layer":3},{"info":"number node, value=2972","layer":4},{"info":"compute unary expreesion, input=2972, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5944","layer":3},{"info":"compute binary expreesion, left_input=4904, right_input=5944, 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=3228","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=2716, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=24414","layer":3},{"info":"number node, value=3465","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=3465, right_input=2112, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=24414, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":1},{"info":"number node, value=3208","layer":4},{"info":"compute unary expreesion, input=3208, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute unary expreesion, input=-113, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=16890","layer":2},{"info":"number node, value=3060","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=3060, right_input=1689, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1371","layer":3},{"info":"compute unary expreesion, input=-1371, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=2193","layer":2},{"info":"compute binary expreesion, left_input=16890, right_input=2193, 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=22285, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≦∁⋰*⋻3759)⋓(⋰*⋻2262⊭∹↮)∙⊟(⋰*⋻2475⇴⋰*⋻204A)⪃⊛⇣(⋰*⋻2670⨂≜⋰*⋻1650)⩨(⫯(↥≼⋛⋰*⋻2457))⪢(≅≯⇸⋰*⋻2332⨳⩥⨓⋰*⋻12A6)=NaN","reverse_text":"NaN=(≦∁⋰*⋻3759)⋓(⋰*⋻2262⊭∹↮)∙⊟(⋰*⋻2475⇴⋰*⋻204A)⪃⊛⇣(⋰*⋻2670⨂≜⋰*⋻1650)⩨(⫯(↥≼⋛⋰*⋻2457))⪢(≅≯⇸⋰*⋻2332⨳⩥⨓⋰*⋻12A6)","cot":[{"info":"≦∁⋰*⋻3759=⋰*⋻3759","layer":3},{"info":"⋰*⋻2262⊭∹↮=⋰*⋻4514","layer":3},{"info":"⋰*⋻3759⋓⋰*⋻4514=⋰*⋻0","layer":2},{"info":"⋰*⋻2475⇴⋰*⋻204A=⋰*⋻17385","layer":3},{"info":"⋰*⋻2670⨂≜⋰*⋻1650=NaN","layer":3},{"info":"⋰*⋻17385⪃⊛⇣NaN=⋰*⋻A22","layer":2},{"info":"⋰*⋻0∙⊟⋰*⋻A22=⋰*⋻1581A","layer":1},{"info":"↥≼⋛⋰*⋻2457=⋰*⋻-A3","layer":3},{"info":"⫯⋰*⋻-A3=⋰*⋻11765","layer":2},{"info":"⋰*⋻2332⨳⩥⨓⋰*⋻12A6=⋰*⋻-1037","layer":3},{"info":"≅≯⇸⋰*⋻-1037=⋰*⋻1714","layer":2},{"info":"⋰*⋻11765⪢⋰*⋻1714=NaN","layer":1},{"info":"⋰*⋻1581A⩨NaN=NaN","layer":0}]}
{"id":91,"expression_no_base_symbol":"($3768$⨟⋌⩍$1243$⋣⋖($1442$∌↝$2957$)≬⋮(⪸($1468$⨳⩥⨓$4994$)))∺≝⩲((($1986$⊢)*($1424$⊹≧⊝))⇣⩺⋵($2008$⇴∐$1020$)⊱⇼⊻($2385$+⇶⊼$5681$))","expression":"(⋰*⋻2916⨟⋌⩍⋰*⋻A30⋣⋖(⋰*⋻10A1∌↝⋰*⋻2249)≬⋮(⪸(⋰*⋻1115⨳⩥⨓⋰*⋻3830)))∺≝⩲(((⋰*⋻1546⊢)*(⋰*⋻1085⊹≧⊝))⇣⩺⋵(⋰*⋻1566⇴∐⋰*⋻848)⊱⇼⊻(⋰*⋻1879+⇶⊼⋰*⋻42A5))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2419,"operation_count":14,"complexity_ratio":172.78571428571428,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3768,"base":11},"right_expr":{"type":"numeric_atoms","value":1243,"base":11}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1442,"base":11},"right_expr":{"type":"numeric_atoms","value":2957,"base":11}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1468,"base":11},"right_expr":{"type":"numeric_atoms","value":4994,"base":11}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1986,"base":11}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1424,"base":11}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2008,"base":11},"right_expr":{"type":"numeric_atoms","value":1020,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2385,"base":11},"right_expr":{"type":"numeric_atoms","value":5681,"base":11}}}}},"used_operators":["KPf6cnQVty","kbkesczE7y","J0M6qkBnIM","rGHVDoGpnC","9Isq31Ruls","86A5ENbKR9","nCS4ZIUYfx","F4yD0voBRQ","9HNa5Wba9A","40aOVDgCDB","LxFB4K6j0n","FyVja0WsTP","HnzytWxmAO","TpPTUOHfaN"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Tcnh7f0tEr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","NTOWxs364D","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","AHs5Up7iyr"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3768","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=1243, 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=1442","layer":4},{"info":"number node, value=2957","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=2957, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"number node, value=1468","layer":4},{"info":"number node, value=4994","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=4994, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3526","layer":3},{"info":"compute unary expreesion, input=3526, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-59733","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-59733, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1986","layer":4},{"info":"compute unary expreesion, input=1986, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2233","layer":3},{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-5696","layer":3},{"info":"compute binary expreesion, left_input=-2233, right_input=-5696, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12719168","layer":2},{"info":"number node, value=2008","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=1020, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=2385","layer":4},{"info":"number node, value=5681","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=5681, 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 = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12719168, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-260, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2916⨟⋌⩍⋰*⋻A30⋣⋖(⋰*⋻10A1∌↝⋰*⋻2249)≬⋮(⪸(⋰*⋻1115⨳⩥⨓⋰*⋻3830)))∺≝⩲(((⋰*⋻1546⊢)*(⋰*⋻1085⊹≧⊝))⇣⩺⋵(⋰*⋻1566⇴∐⋰*⋻848)⊱⇼⊻(⋰*⋻1879+⇶⊼⋰*⋻42A5))=⋰*⋻136","reverse_text":"⋰*⋻136=(⋰*⋻2916⨟⋌⩍⋰*⋻A30⋣⋖(⋰*⋻10A1∌↝⋰*⋻2249)≬⋮(⪸(⋰*⋻1115⨳⩥⨓⋰*⋻3830)))∺≝⩲(((⋰*⋻1546⊢)*(⋰*⋻1085⊹≧⊝))⇣⩺⋵(⋰*⋻1566⇴∐⋰*⋻848)⊱⇼⊻(⋰*⋻1879+⇶⊼⋰*⋻42A5))","cot":[{"info":"⋰*⋻2916⨟⋌⩍⋰*⋻A30=NaN","layer":3},{"info":"⋰*⋻10A1∌↝⋰*⋻2249=⋰*⋻0","layer":3},{"info":"NaN⋣⋖⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1115⨳⩥⨓⋰*⋻3830=⋰*⋻2716","layer":3},{"info":"⪸⋰*⋻2716=⋰*⋻-40973","layer":2},{"info":"NaN≬⋮⋰*⋻-40973=⋰*⋻71A","layer":1},{"info":"⋰*⋻1546⊢=⋰*⋻-1750","layer":3},{"info":"⋰*⋻1085⊹≧⊝=⋰*⋻-4309","layer":3},{"info":"⋰*⋻-1750*⋰*⋻-4309=⋰*⋻71A8110","layer":2},{"info":"⋰*⋻1566⇴∐⋰*⋻848=NaN","layer":3},{"info":"⋰*⋻1879+⇶⊼⋰*⋻42A5=NaN","layer":3},{"info":"NaN⊱⇼⊻NaN=NaN","layer":2},{"info":"⋰*⋻71A8110⇣⩺⋵NaN=⋰*⋻-217","layer":1},{"info":"⋰*⋻71A∺≝⩲⋰*⋻-217=⋰*⋻136","layer":0}]}
{"id":92,"expression_no_base_symbol":"((↣≠⋷($6968$⫡⨏$7055$))⋫)⨵⪆($1583$↛⩡⫤)≠≀$3007$⪘⫢$3414$⋾⨃∁($1556$≦↸$2726$⪕$3585$≠≀$5618$)","expression":"((↣≠⋷(⋰*⋻5265⫡⨏⋰*⋻5334))⋫)⨵⪆(⋰*⋻120A↛⩡⫤)≠≀⋰*⋻2294⪘⫢⋰*⋻2624⋾⨃∁(⋰*⋻1195≦↸⋰*⋻2059⪕⋰*⋻276A≠≀⋰*⋻4248)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5930,"operation_count":11,"complexity_ratio":539.0909090909091,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6968,"base":11},"right_expr":{"type":"numeric_atoms","value":7055,"base":11}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1583,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3007,"base":11},"right_expr":{"type":"numeric_atoms","value":3414,"base":11}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1556,"base":11},"right_expr":{"type":"numeric_atoms","value":2726,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3585,"base":11},"right_expr":{"type":"numeric_atoms","value":5618,"base":11}}}}},"used_operators":["2DQ55sFlQl","JL8yIekQnl","Asc51vEJeQ","QMFrweE19q","212REbPD9h","IwW236VD4Y","FU0Cs4j7VP","oacrs7FA3X","umQnsF7QlU","RygbFNSyEJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6968","layer":4},{"info":"number node, value=7055","layer":4},{"info":"compute binary expreesion, left_input=6968, right_input=7055, 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=49733","layer":3},{"info":"compute unary expreesion, input=49733, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/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=1583","layer":4},{"info":"compute unary expreesion, input=1583, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-235122","layer":3},{"info":"number node, value=3007","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=3414, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5890","layer":3},{"info":"compute binary expreesion, left_input=-235122, right_input=5890, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=470550","layer":2},{"info":"number node, value=1556","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=2726, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7883","layer":3},{"info":"number node, value=3585","layer":4},{"info":"number node, value=5618","layer":4},{"info":"compute binary expreesion, left_input=3585, right_input=5618, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6864","layer":3},{"info":"compute binary expreesion, left_input=-7883, right_input=-6864, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute binary expreesion, left_input=470550, right_input=935, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=8730936","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8730936, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((↣≠⋷(⋰*⋻5265⫡⨏⋰*⋻5334))⋫)⨵⪆(⋰*⋻120A↛⩡⫤)≠≀⋰*⋻2294⪘⫢⋰*⋻2624⋾⨃∁(⋰*⋻1195≦↸⋰*⋻2059⪕⋰*⋻276A≠≀⋰*⋻4248)=⋰*⋻136","reverse_text":"⋰*⋻136=((↣≠⋷(⋰*⋻5265⫡⨏⋰*⋻5334))⋫)⨵⪆(⋰*⋻120A↛⩡⫤)≠≀⋰*⋻2294⪘⫢⋰*⋻2624⋾⨃∁(⋰*⋻1195≦↸⋰*⋻2059⪕⋰*⋻276A≠≀⋰*⋻4248)","cot":[{"info":"⋰*⋻5265⫡⨏⋰*⋻5334=⋰*⋻34402","layer":3},{"info":"↣≠⋷⋰*⋻34402=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"⋰*⋻120A↛⩡⫤=⋰*⋻-150718","layer":3},{"info":"⋰*⋻2294⪘⫢⋰*⋻2624=⋰*⋻4475","layer":3},{"info":"⋰*⋻-150718≠≀⋰*⋻4475=⋰*⋻2A1593","layer":2},{"info":"⋰*⋻1195≦↸⋰*⋻2059=⋰*⋻-5A17","layer":3},{"info":"⋰*⋻276A≠≀⋰*⋻4248=⋰*⋻-5180","layer":3},{"info":"⋰*⋻-5A17⪕⋰*⋻-5180=⋰*⋻780","layer":2},{"info":"⋰*⋻2A1593⋾⨃∁⋰*⋻780=⋰*⋻4A23755","layer":1},{"info":"NaN⨵⪆⋰*⋻4A23755=⋰*⋻136","layer":0}]}
{"id":93,"expression_no_base_symbol":"(($1937$⪪$2388$⨱∎)⩵∡($9068$≒∊$3926$)∘(≘$6604$))⩼⇪↪($1179$⨟⋌⩍$1375$⋅⇍$1527$⫯⪬∳$8797$)⫯⪬∳$1290$≁↽≥$1146$⨿($5686$∧)","expression":"((⋰*⋻1501⪪⋰*⋻1881⨱∎)⩵∡(⋰*⋻68A4≒∊⋰*⋻2A4A)∘(≘⋰*⋻4A64))⩼⇪↪(⋰*⋻982⨟⋌⩍⋰*⋻1040⋅⇍⋰*⋻1169⫯⪬∳⋰*⋻6678)⫯⪬∳⋰*⋻A73≁↽≥⋰*⋻952⨿(⋰*⋻42AA∧)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6458,"operation_count":14,"complexity_ratio":461.2857142857143,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1937,"base":11},"right_expr":{"type":"numeric_atoms","value":2388,"base":11}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":9068,"base":11},"right_expr":{"type":"numeric_atoms","value":3926,"base":11}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":6604,"base":11}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1179,"base":11},"right_expr":{"type":"numeric_atoms","value":1375,"base":11}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1527,"base":11},"right_expr":{"type":"numeric_atoms","value":8797,"base":11}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1290,"base":11},"right_expr":{"type":"numeric_atoms","value":1146,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5686,"base":11}}}}},"used_operators":["ocnLzx9CaJ","Y7wcNGrDQJ","MmTdOpaElr","xD69zh8xqp","Z5m6OM72h2","5KTvxBwnZo","tcjXMdvYtA","d7ASUq0ydm","AdZkA7nFnk","rGHVDoGpnC","abYXlopdE0","ncHt1X6cMc","z63VuFQld9"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","tifHPKVTfV","FU0Cs4j7VP","JclMnS0uGI","eH2TOUuTDT","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Tcnh7f0tEr","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","oWn0xqSxBt","3Oe9XWJUTD","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1937","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=2388, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-288576","layer":3},{"info":"compute unary expreesion, input=-288576, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"number node, value=9068","layer":4},{"info":"number node, value=3926","layer":4},{"info":"compute binary expreesion, left_input=9068, right_input=3926, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-8584","layer":3},{"info":"number node, value=6604","layer":4},{"info":"compute unary expreesion, input=6604, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=14562604","layer":3},{"info":"compute binary expreesion, left_input=-8584, right_input=14562604, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-17168","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-17168, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-17289","layer":1},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1375, 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=1527","layer":4},{"info":"number node, value=8797","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=8797, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-1129","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1129, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=1146, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=24322","layer":3},{"info":"number node, value=5686","layer":4},{"info":"compute unary expreesion, input=5686, 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=24322, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-17289, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1501⪪⋰*⋻1881⨱∎)⩵∡(⋰*⋻68A4≒∊⋰*⋻2A4A)∘(≘⋰*⋻4A64))⩼⇪↪(⋰*⋻982⨟⋌⩍⋰*⋻1040⋅⇍⋰*⋻1169⫯⪬∳⋰*⋻6678)⫯⪬∳⋰*⋻A73≁↽≥⋰*⋻952⨿(⋰*⋻42AA∧)=NaN","reverse_text":"NaN=((⋰*⋻1501⪪⋰*⋻1881⨱∎)⩵∡(⋰*⋻68A4≒∊⋰*⋻2A4A)∘(≘⋰*⋻4A64))⩼⇪↪(⋰*⋻982⨟⋌⩍⋰*⋻1040⋅⇍⋰*⋻1169⫯⪬∳⋰*⋻6678)⫯⪬∳⋰*⋻A73≁↽≥⋰*⋻952⨿(⋰*⋻42AA∧)","cot":[{"info":"⋰*⋻1501⪪⋰*⋻1881=⋰*⋻-1878A2","layer":3},{"info":"⋰*⋻-1878A2⨱∎=⋰*⋻0","layer":2},{"info":"⋰*⋻68A4≒∊⋰*⋻2A4A=⋰*⋻-64A4","layer":3},{"info":"≘⋰*⋻4A64=⋰*⋻8247111","layer":3},{"info":"⋰*⋻-64A4∘⋰*⋻8247111=⋰*⋻-11998","layer":2},{"info":"⋰*⋻0⩵∡⋰*⋻-11998=⋰*⋻-11A98","layer":1},{"info":"⋰*⋻982⨟⋌⩍⋰*⋻1040=NaN","layer":3},{"info":"⋰*⋻1169⫯⪬∳⋰*⋻6678=⋰*⋻-937","layer":3},{"info":"NaN⋅⇍⋰*⋻-937=NaN","layer":2},{"info":"⋰*⋻A73≁↽≥⋰*⋻952=⋰*⋻17301","layer":3},{"info":"⋰*⋻42AA∧=NaN","layer":3},{"info":"⋰*⋻17301⨿NaN=⋰*⋻-270","layer":2},{"info":"NaN⫯⪬∳⋰*⋻-270=NaN","layer":1},{"info":"⋰*⋻-11A98⩼⇪↪NaN=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"($1102$≎⊠⪸$1641$⊹∫⫚($3589$⊓⋫))⩇∃⫛(($1411$⇟⨁⪰)⋓$1148$⩼⇪↪$5831$)∲⫓(($2238$≌$2234$+⇶⊼($8892$≀⩗∶$2874$))↯⫤)","expression":"(⋰*⋻912≎⊠⪸⋰*⋻1262⊹∫⫚(⋰*⋻2773⊓⋫))⩇∃⫛((⋰*⋻1073⇟⨁⪰)⋓⋰*⋻954⩼⇪↪⋰*⋻4421)∲⫓((⋰*⋻1755≌⋰*⋻1751+⇶⊼(⋰*⋻6754≀⩗∶⋰*⋻2183))↯⫤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2780,"operation_count":12,"complexity_ratio":231.66666666666666,"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":1102,"base":11},"right_expr":{"type":"numeric_atoms","value":1641,"base":11}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":3589,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1411,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1148,"base":11},"right_expr":{"type":"numeric_atoms","value":5831,"base":11}}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2238,"base":11},"right_expr":{"type":"numeric_atoms","value":2234,"base":11}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":8892,"base":11},"right_expr":{"type":"numeric_atoms","value":2874,"base":11}}}}},"used_operators":["i8ToyICDmI","1aApVXNlOP","uWAJUKEvyW","bJkvcejdHO","IqGBaFP0uj","T2fj7uvVaJ","BX1lVwlMe0","ocnLzx9CaJ","VwlE7vj6HS","TpPTUOHfaN","lyWz822IDG","8INZBEW696"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","AHs5Up7iyr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⋰*⋻-187","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1641, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=284945","layer":3},{"info":"number node, value=3589","layer":4},{"info":"compute unary expreesion, input=3589, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3717","layer":3},{"info":"compute binary expreesion, left_input=284945, right_input=-3717, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-216","layer":2},{"info":"number node, value=1411","layer":4},{"info":"compute unary expreesion, input=1411, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1585","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=5831","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=5831, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-39304","layer":3},{"info":"compute binary expreesion, left_input=-1585, right_input=-39304, 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=-216, right_input=0, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-216","layer":1},{"info":"number node, value=2238","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=2234, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=8892","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=8892, right_input=2874, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-216, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-216","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻912≎⊠⪸⋰*⋻1262⊹∫⫚(⋰*⋻2773⊓⋫))⩇∃⫛((⋰*⋻1073⇟⨁⪰)⋓⋰*⋻954⩼⇪↪⋰*⋻4421)∲⫓((⋰*⋻1755≌⋰*⋻1751+⇶⊼(⋰*⋻6754≀⩗∶⋰*⋻2183))↯⫤)=⋰*⋻-187","reverse_text":"⋰*⋻-187=(⋰*⋻912≎⊠⪸⋰*⋻1262⊹∫⫚(⋰*⋻2773⊓⋫))⩇∃⫛((⋰*⋻1073⇟⨁⪰)⋓⋰*⋻954⩼⇪↪⋰*⋻4421)∲⫓((⋰*⋻1755≌⋰*⋻1751+⇶⊼(⋰*⋻6754≀⩗∶⋰*⋻2183))↯⫤)","cot":[{"info":"⋰*⋻912≎⊠⪸⋰*⋻1262=⋰*⋻1850A1","layer":3},{"info":"⋰*⋻2773⊓⋫=⋰*⋻-287A","layer":3},{"info":"⋰*⋻1850A1⊹∫⫚⋰*⋻-287A=⋰*⋻-187","layer":2},{"info":"⋰*⋻1073⇟⨁⪰=⋰*⋻-1211","layer":3},{"info":"⋰*⋻954⩼⇪↪⋰*⋻4421=⋰*⋻-27591","layer":3},{"info":"⋰*⋻-1211⋓⋰*⋻-27591=⋰*⋻0","layer":2},{"info":"⋰*⋻-187⩇∃⫛⋰*⋻0=⋰*⋻-187","layer":1},{"info":"⋰*⋻1755≌⋰*⋻1751=NaN","layer":3},{"info":"⋰*⋻6754≀⩗∶⋰*⋻2183=⋰*⋻0","layer":3},{"info":"NaN+⇶⊼⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0↯⫤=⋰*⋻0","layer":1},{"info":"⋰*⋻-187∲⫓⋰*⋻0=⋰*⋻-187","layer":0}]}
{"id":95,"expression_no_base_symbol":"⩦⊞(⩰($3901$⊉↱≁$1533$)⩖⊿($8459$⨵⪆$2855$))","expression":"⩦⊞(⩰(⋰*⋻2A27⊉↱≁⋰*⋻1174)⩖⊿(⋰*⋻63A0⨵⪆⋰*⋻2166))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":68,"operation_count":5,"complexity_ratio":13.6,"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":3901,"base":11},"right_expr":{"type":"numeric_atoms","value":1533,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8459,"base":11},"right_expr":{"type":"numeric_atoms","value":2855,"base":11}}}}},"used_operators":["u7fv1HBiaC","WkeUrDK8WX","RZ5CV9rWsJ","w2P8NbNXyL","2DQ55sFlQl"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-150131","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3901","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=1533, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=29760","layer":3},{"info":"number node, value=8459","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=8459, right_input=2855, 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=29760, right_input=160, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-117842","layer":2},{"info":"compute unary expreesion, input=-117842, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=234684","layer":1},{"info":"compute unary expreesion, input=234684, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-234411","layer":0}],"base":11,"result_base":11,"text":"⩦⊞(⩰(⋰*⋻2A27⊉↱≁⋰*⋻1174)⩖⊿(⋰*⋻63A0⨵⪆⋰*⋻2166))=⋰*⋻-150131","reverse_text":"⋰*⋻-150131=⩦⊞(⩰(⋰*⋻2A27⊉↱≁⋰*⋻1174)⩖⊿(⋰*⋻63A0⨵⪆⋰*⋻2166))","cot":[{"info":"⋰*⋻2A27⊉↱≁⋰*⋻1174=⋰*⋻203A5","layer":3},{"info":"⋰*⋻63A0⨵⪆⋰*⋻2166=⋰*⋻136","layer":3},{"info":"⋰*⋻203A5⩖⊿⋰*⋻136=⋰*⋻-8059A","layer":2},{"info":"⩰⋰*⋻-8059A=⋰*⋻15035A","layer":1},{"info":"⩦⊞⋰*⋻15035A=⋰*⋻-150131","layer":0}]}
{"id":96,"expression_no_base_symbol":"⨂⪏⇭(⫎≠⋺(($1886$⩘⨬⇊)∴≳≥))","expression":"⨂⪏⇭(⫎≠⋺((⋰*⋻1465⩘⨬⇊)∴≳≥))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1913,"operation_count":4,"complexity_ratio":478.25,"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":1886,"base":11}}}}},"used_operators":["AYdpE9sXAk","LYeZOJ0nQG","a3N2hFLK0J","XXmTpEpWTW"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"compute unary expreesion, input=1886, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨂⪏⇭(⫎≠⋺((⋰*⋻1465⩘⨬⇊)∴≳≥))=NaN","reverse_text":"NaN=⨂⪏⇭(⫎≠⋺((⋰*⋻1465⩘⨬⇊)∴≳≥))","cot":[{"info":"⋰*⋻1465⩘⨬⇊=NaN","layer":3},{"info":"NaN∴≳≥=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"⨂⪏⇭NaN=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"(∮((⇉-⫰$1794$)⋾⨃∁(⩦⊞$7162$)))⇄(($4351$⇮⋭$5013$)⊉↱≁($1103$+⇶⊼$1001$)⩺⪪($3216$⩇∃⫛$4933$⨳⩥⨓$3470$⨽$4058$))","expression":"(∮((⇉-⫰⋰*⋻1391)⋾⨃∁(⩦⊞⋰*⋻5421)))⇄((⋰*⋻32A6⇮⋭⋰*⋻3848)⊉↱≁(⋰*⋻913+⇶⊼⋰*⋻830)⩺⪪(⋰*⋻2464⩇∃⫛⋰*⋻3785⨳⩥⨓⋰*⋻2675⨽⋰*⋻305A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10931,"operation_count":12,"complexity_ratio":910.9166666666666,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1794,"base":11}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":7162,"base":11}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4351,"base":11},"right_expr":{"type":"numeric_atoms","value":5013,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1103,"base":11},"right_expr":{"type":"numeric_atoms","value":1001,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3216,"base":11},"right_expr":{"type":"numeric_atoms","value":4933,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3470,"base":11},"right_expr":{"type":"numeric_atoms","value":4058,"base":11}}}}},"used_operators":["3EYGwJThht","CqXKPLVYql","212REbPD9h","IGFM8TAlm9","u7fv1HBiaC","uvdQJvN4PV","w2P8NbNXyL","vkpjKywKVM","TpPTUOHfaN","nCS4ZIUYfx","1aApVXNlOP","8HhzD0ZcuI"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eH2TOUuTDT","eewbuw0ToL","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1794","layer":4},{"info":"compute unary expreesion, input=1794, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=7162","layer":4},{"info":"compute unary expreesion, input=7162, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6889","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-6889, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=474665784","layer":2},{"info":"compute unary expreesion, input=474665784, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":1},{"info":"number node, value=4351","layer":4},{"info":"number node, value=5013","layer":4},{"info":"compute binary expreesion, left_input=4351, right_input=5013, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1001, 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=-473, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"number node, value=3216","layer":4},{"info":"number node, value=4933","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=4933, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2190","layer":3},{"info":"number node, value=3470","layer":4},{"info":"number node, value=4058","layer":4},{"info":"compute binary expreesion, left_input=3470, right_input=4058, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-36133560","layer":3},{"info":"compute binary expreesion, left_input=2190, right_input=-36133560, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-36135750","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-36135750, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∮((⇉-⫰⋰*⋻1391)⋾⨃∁(⩦⊞⋰*⋻5421)))⇄((⋰*⋻32A6⇮⋭⋰*⋻3848)⊉↱≁(⋰*⋻913+⇶⊼⋰*⋻830)⩺⪪(⋰*⋻2464⩇∃⫛⋰*⋻3785⨳⩥⨓⋰*⋻2675⨽⋰*⋻305A))=NaN","reverse_text":"NaN=(∮((⇉-⫰⋰*⋻1391)⋾⨃∁(⩦⊞⋰*⋻5421)))⇄((⋰*⋻32A6⇮⋭⋰*⋻3848)⊉↱≁(⋰*⋻913+⇶⊼⋰*⋻830)⩺⪪(⋰*⋻2464⩇∃⫛⋰*⋻3785⨳⩥⨓⋰*⋻2675⨽⋰*⋻305A))","cot":[{"info":"⇉-⫰⋰*⋻1391=⋰*⋻19","layer":3},{"info":"⩦⊞⋰*⋻5421=⋰*⋻-51A3","layer":3},{"info":"⋰*⋻19⋾⨃∁⋰*⋻-51A3=⋰*⋻223A3347A","layer":2},{"info":"∮⋰*⋻223A3347A=⋰*⋻61","layer":1},{"info":"⋰*⋻32A6⇮⋭⋰*⋻3848=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻913+⇶⊼⋰*⋻830=NaN","layer":3},{"info":"⋰*⋻-3A0⊉↱≁NaN=NaN","layer":2},{"info":"⋰*⋻2464⩇∃⫛⋰*⋻3785=⋰*⋻1711","layer":3},{"info":"⋰*⋻2675⨽⋰*⋻305A=⋰*⋻-1943A751","layer":3},{"info":"⋰*⋻1711⨳⩥⨓⋰*⋻-1943A751=⋰*⋻-19441362","layer":2},{"info":"NaN⩺⪪⋰*⋻-19441362=NaN","layer":1},{"info":"⋰*⋻61⇄NaN=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"(⩒∊($1428$⊕∕$5537$⩒⫫($4465$⊨$2282$)))⨭⪣((⇙⪊($2235$⪉⨛$7437$))-$6465$⊋$4319$⨚⇆$1203$∓⋝$2203$)","expression":"(⩒∊(⋰*⋻1089⊕∕⋰*⋻4184⩒⫫(⋰*⋻339A⊨⋰*⋻1795)))⨭⪣((⇙⪊(⋰*⋻1752⪉⨛⋰*⋻5651))-⋰*⋻4948⊋⋰*⋻3277⨚⇆⋰*⋻9A4∓⋝⋰*⋻1723)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4570,"operation_count":11,"complexity_ratio":415.45454545454544,"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":1428,"base":11},"right_expr":{"type":"numeric_atoms","value":5537,"base":11}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4465,"base":11},"right_expr":{"type":"numeric_atoms","value":2282,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2235,"base":11},"right_expr":{"type":"numeric_atoms","value":7437,"base":11}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6465,"base":11},"right_expr":{"type":"numeric_atoms","value":4319,"base":11}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1203,"base":11},"right_expr":{"type":"numeric_atoms","value":2203,"base":11}}}}},"used_operators":["kn8WO9XteQ","qazvmhNBbN","KFSx94NKJn","9cloC0Ngie","vg4gO5BX6G","rysDP5nf3Z","pB6Fcnrjim","EWw2JM7wp4","lwHaAYXP2r","W4tP9CfskL","PoHhknlbAi"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1428","layer":4},{"info":"number node, value=5537","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=5537, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1428","layer":3},{"info":"number node, value=4465","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=4465, right_input=2282, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=18891","layer":3},{"info":"compute binary expreesion, left_input=1428, right_input=18891, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1126","layer":2},{"info":"compute unary expreesion, input=1126, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1495","layer":1},{"info":"number node, value=2235","layer":4},{"info":"number node, value=7437","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=7437, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-517","layer":3},{"info":"compute unary expreesion, input=-517, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=6465","layer":4},{"info":"number node, value=4319","layer":4},{"info":"compute binary expreesion, left_input=6465, right_input=4319, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=74088980","layer":3},{"info":"number node, value=1203","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=2203, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=74088980, right_input=67, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1495, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"(⩒∊(⋰*⋻1089⊕∕⋰*⋻4184⩒⫫(⋰*⋻339A⊨⋰*⋻1795)))⨭⪣((⇙⪊(⋰*⋻1752⪉⨛⋰*⋻5651))-⋰*⋻4948⊋⋰*⋻3277⨚⇆⋰*⋻9A4∓⋝⋰*⋻1723)=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=(⩒∊(⋰*⋻1089⊕∕⋰*⋻4184⩒⫫(⋰*⋻339A⊨⋰*⋻1795)))⨭⪣((⇙⪊(⋰*⋻1752⪉⨛⋰*⋻5651))-⋰*⋻4948⊋⋰*⋻3277⨚⇆⋰*⋻9A4∓⋝⋰*⋻1723)","cot":[{"info":"⋰*⋻1089⊕∕⋰*⋻4184=⋰*⋻1089","layer":3},{"info":"⋰*⋻339A⊨⋰*⋻1795=⋰*⋻13214","layer":3},{"info":"⋰*⋻1089⩒⫫⋰*⋻13214=⋰*⋻934","layer":2},{"info":"⩒∊⋰*⋻934=⋰*⋻113A","layer":1},{"info":"⋰*⋻1752⪉⨛⋰*⋻5651=⋰*⋻-430","layer":3},{"info":"⇙⪊⋰*⋻-430=⋰*⋻0","layer":2},{"info":"⋰*⋻4948⊋⋰*⋻3277=⋰*⋻38904169","layer":3},{"info":"⋰*⋻9A4∓⋝⋰*⋻1723=⋰*⋻61","layer":3},{"info":"⋰*⋻38904169⨚⇆⋰*⋻61=NaN","layer":2},{"info":"⋰*⋻0-NaN=NaN","layer":1},{"info":"⋰*⋻113A⨭⪣NaN=⋰*⋻-1A","layer":0}]}
{"id":99,"expression_no_base_symbol":"((⪡⇡≛$5326$⪃⊛⇣$8620$)⫸⇳(∑⇻≧$8216$⨻⩈⩔$6274$))⊢","expression":"((⪡⇡≛⋰*⋻4002⪃⊛⇣⋰*⋻6527)⫸⇳(∑⇻≧⋰*⋻619A⨻⩈⩔⋰*⋻4794))⊢","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":728,"operation_count":6,"complexity_ratio":121.33333333333333,"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":5326,"base":11},"right_expr":{"type":"numeric_atoms","value":8620,"base":11}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":8216,"base":11},"right_expr":{"type":"numeric_atoms","value":6274,"base":11}}}}},"used_operators":["40aOVDgCDB","gx7XJ7hdpj","qL4PrbW1Dq","rrgAzCduG9","l1M9WJ3V7u","nEsXyWgiOK"],"dependent_operators":["NTOWxs364D","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5326","layer":4},{"info":"number node, value=8620","layer":4},{"info":"compute binary expreesion, left_input=5326, right_input=8620, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1234","layer":2},{"info":"number node, value=8216","layer":4},{"info":"number node, value=6274","layer":4},{"info":"compute binary expreesion, left_input=8216, right_input=6274, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=57327","layer":3},{"info":"compute unary expreesion, input=57327, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=-1234, right_input=-852, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⪡⇡≛⋰*⋻4002⪃⊛⇣⋰*⋻6527)⫸⇳(∑⇻≧⋰*⋻619A⨻⩈⩔⋰*⋻4794))⊢=⋰*⋻0","reverse_text":"⋰*⋻0=((⪡⇡≛⋰*⋻4002⪃⊛⇣⋰*⋻6527)⫸⇳(∑⇻≧⋰*⋻619A⨻⩈⩔⋰*⋻4794))⊢","cot":[{"info":"⋰*⋻4002⪃⊛⇣⋰*⋻6527=⋰*⋻A22","layer":3},{"info":"⪡⇡≛⋰*⋻A22=⋰*⋻-A22","layer":2},{"info":"⋰*⋻619A⨻⩈⩔⋰*⋻4794=⋰*⋻3A086","layer":3},{"info":"∑⇻≧⋰*⋻3A086=⋰*⋻-705","layer":2},{"info":"⋰*⋻-A22⫸⇳⋰*⋻-705=⋰*⋻0","layer":1},{"info":"⋰*⋻0⊢=⋰*⋻0","layer":0}]}
{"id":100,"expression_no_base_symbol":"(⋂(∐⩳⋚($3347$⋓$4192$)))∲⫓((⊗$3839$)⪟⇏(⊖$1383$))⪝($2244$⩚⊴⇥$2941$)⪬($5753$⫁$1409$)","expression":"(⋂(∐⩳⋚(⋰*⋻2573⋓⋰*⋻3171)))∲⫓((⊗⋰*⋻2980)⪟⇏(⊖⋰*⋻1048))⪝(⋰*⋻1760⩚⊴⇥⋰*⋻2234)⪬(⋰*⋻4360⫁⋰*⋻1071)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1325,"operation_count":11,"complexity_ratio":120.45454545454545,"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":3347,"base":11},"right_expr":{"type":"numeric_atoms","value":4192,"base":11}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3839,"base":11}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1383,"base":11}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2244,"base":11},"right_expr":{"type":"numeric_atoms","value":2941,"base":11}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5753,"base":11},"right_expr":{"type":"numeric_atoms","value":1409,"base":11}}}}},"used_operators":["i8ToyICDmI","BUOGQAYlQx","SL6IHkK8vl","T2fj7uvVaJ","wicAB68Tmb","GODebY97qR","RhiyfpczSx","U6pG0PXrV3","Ez1Nq5fNfI","NTOWxs364D","0ajvFaJAv0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⋰*⋻245821","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3347","layer":4},{"info":"number node, value=4192","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=4192, 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 = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-27694","layer":2},{"info":"compute unary expreesion, input=-27694, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=388312","layer":1},{"info":"number node, value=3839","layer":4},{"info":"compute unary expreesion, input=3839, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-7678","layer":3},{"info":"number node, value=1383","layer":4},{"info":"compute unary expreesion, input=1383, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7678, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=2244","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=2941, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5306","layer":3},{"info":"number node, value=5753","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=5753, right_input=1409, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-5306, right_input=160, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=388312, right_input=237, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=388312","layer":0}],"base":11,"result_base":11,"text":"(⋂(∐⩳⋚(⋰*⋻2573⋓⋰*⋻3171)))∲⫓((⊗⋰*⋻2980)⪟⇏(⊖⋰*⋻1048))⪝(⋰*⋻1760⩚⊴⇥⋰*⋻2234)⪬(⋰*⋻4360⫁⋰*⋻1071)=⋰*⋻245821","reverse_text":"⋰*⋻245821=(⋂(∐⩳⋚(⋰*⋻2573⋓⋰*⋻3171)))∲⫓((⊗⋰*⋻2980)⪟⇏(⊖⋰*⋻1048))⪝(⋰*⋻1760⩚⊴⇥⋰*⋻2234)⪬(⋰*⋻4360⫁⋰*⋻1071)","cot":[{"info":"⋰*⋻2573⋓⋰*⋻3171=⋰*⋻0","layer":3},{"info":"∐⩳⋚⋰*⋻0=⋰*⋻-19897","layer":2},{"info":"⋂⋰*⋻-19897=⋰*⋻245821","layer":1},{"info":"⊗⋰*⋻2980=⋰*⋻-5850","layer":3},{"info":"⊖⋰*⋻1048=⋰*⋻0","layer":3},{"info":"⋰*⋻-5850⪟⇏⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻1760⩚⊴⇥⋰*⋻2234=⋰*⋻-3A94","layer":3},{"info":"⋰*⋻4360⫁⋰*⋻1071=⋰*⋻136","layer":3},{"info":"⋰*⋻-3A94⪬⋰*⋻136=⋰*⋻A22","layer":2},{"info":"⋰*⋻0⪝⋰*⋻A22=⋰*⋻1A6","layer":1},{"info":"⋰*⋻245821∲⫓⋰*⋻1A6=⋰*⋻245821","layer":0}]}
{"id":101,"expression_no_base_symbol":"((($5828$⫚↹⊑$6492$)⨽$6196$∇⊂⋱$1987$)⩧⪆($1998$⪥$1600$)∺≝⩲($6366$⪔⊥$6307$))↹⊜(⇈($1304$∪⫐$3310$⫡⨏(↡$2391$)))","expression":"(((⋰*⋻4419⫚↹⊑⋰*⋻4972)⨽⋰*⋻4723∇⊂⋱⋰*⋻1547)⩧⪆(⋰*⋻1557⪥⋰*⋻1225)∺≝⩲(⋰*⋻4868⪔⊥⋰*⋻4814))↹⊜(⇈(⋰*⋻A86∪⫐⋰*⋻253A⫡⨏(↡⋰*⋻1884)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1605,"operation_count":12,"complexity_ratio":133.75,"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":5828,"base":11},"right_expr":{"type":"numeric_atoms","value":6492,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":6196,"base":11},"right_expr":{"type":"numeric_atoms","value":1987,"base":11}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1998,"base":11},"right_expr":{"type":"numeric_atoms","value":1600,"base":11}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6366,"base":11},"right_expr":{"type":"numeric_atoms","value":6307,"base":11}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1304,"base":11},"right_expr":{"type":"numeric_atoms","value":3310,"base":11}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2391,"base":11}}}}},"used_operators":["9bazX3JMtO","Ikt5ks8PT7","8HhzD0ZcuI","dfKe02y8D2","nhYeJWJD5X","KPf6cnQVty","QbnwKVWMIQ","HJ9erzHUuu","SLLxy00UIr","QMFrweE19q","7YooWSwCyH","MXaNJeIAZ3"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eewbuw0ToL","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⋰*⋻2684","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5828","layer":4},{"info":"number node, value=6492","layer":4},{"info":"compute binary expreesion, left_input=5828, right_input=6492, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=6196","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=6196, right_input=1987, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11846","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=11846, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-633651","layer":2},{"info":"number node, value=1998","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=1998, right_input=1600, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12644","layer":3},{"info":"number node, value=6366","layer":4},{"info":"number node, value=6307","layer":4},{"info":"compute binary expreesion, left_input=6366, right_input=6307, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=12651","layer":3},{"info":"compute binary expreesion, left_input=12644, right_input=12651, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-633651, right_input=160, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-160","layer":1},{"info":"number node, value=1304","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=3310, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1304","layer":3},{"info":"number node, value=2391","layer":4},{"info":"compute unary expreesion, input=2391, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=21519","layer":3},{"info":"compute binary expreesion, left_input=1304, right_input=21519, 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=50341","layer":2},{"info":"compute unary expreesion, input=50341, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=-160, right_input=-447, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3480","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻4419⫚↹⊑⋰*⋻4972)⨽⋰*⋻4723∇⊂⋱⋰*⋻1547)⩧⪆(⋰*⋻1557⪥⋰*⋻1225)∺≝⩲(⋰*⋻4868⪔⊥⋰*⋻4814))↹⊜(⇈(⋰*⋻A86∪⫐⋰*⋻253A⫡⨏(↡⋰*⋻1884)))=⋰*⋻2684","reverse_text":"⋰*⋻2684=(((⋰*⋻4419⫚↹⊑⋰*⋻4972)⨽⋰*⋻4723∇⊂⋱⋰*⋻1547)⩧⪆(⋰*⋻1557⪥⋰*⋻1225)∺≝⩲(⋰*⋻4868⪔⊥⋰*⋻4814))↹⊜(⇈(⋰*⋻A86∪⫐⋰*⋻253A⫡⨏(↡⋰*⋻1884)))","cot":[{"info":"⋰*⋻4419⫚↹⊑⋰*⋻4972=⋰*⋻-377","layer":3},{"info":"⋰*⋻4723∇⊂⋱⋰*⋻1547=⋰*⋻899A","layer":3},{"info":"⋰*⋻-377⨽⋰*⋻899A=⋰*⋻-3A3087","layer":2},{"info":"⋰*⋻1557⪥⋰*⋻1225=⋰*⋻9555","layer":3},{"info":"⋰*⋻4868⪔⊥⋰*⋻4814=⋰*⋻9561","layer":3},{"info":"⋰*⋻9555∺≝⩲⋰*⋻9561=⋰*⋻136","layer":2},{"info":"⋰*⋻-3A3087⩧⪆⋰*⋻136=⋰*⋻-136","layer":1},{"info":"⋰*⋻A86∪⫐⋰*⋻253A=⋰*⋻A86","layer":3},{"info":"↡⋰*⋻1884=⋰*⋻15193","layer":3},{"info":"⋰*⋻A86⫡⨏⋰*⋻15193=⋰*⋻34905","layer":2},{"info":"⇈⋰*⋻34905=⋰*⋻-377","layer":1},{"info":"⋰*⋻-136↹⊜⋰*⋻-377=⋰*⋻2684","layer":0}]}
{"id":102,"expression_no_base_symbol":"(⫛⫱⨽$1002$≌$1960$⩼⇪↪(≤/$1808$))⊴(((⊲⪭$1128$)⊉≛↸$2214$∀⇚≩$5634$)⫥∨⫟(⇘($3394$∋$2591$)))","expression":"(⫛⫱⨽⋰*⋻831≌⋰*⋻1522⩼⇪↪(≤/⋰*⋻13A4))⊴(((⊲⪭⋰*⋻936)⊉≛↸⋰*⋻1733∀⇚≩⋰*⋻4262)⫥∨⫟(⇘(⋰*⋻2606∋⋰*⋻1A46)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11001574,"operation_count":11,"complexity_ratio":1000143.0909090909,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1002,"base":11},"right_expr":{"type":"numeric_atoms","value":1960,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1808,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1128,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2214,"base":11},"right_expr":{"type":"numeric_atoms","value":5634,"base":11}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3394,"base":11},"right_expr":{"type":"numeric_atoms","value":2591,"base":11}}}}},"used_operators":["Nsiff2A1zJ","DlLNRPXxWL","ocnLzx9CaJ","lyWz822IDG","eLAdDNolq6","KYD54nUTWz","DZ8iAZOCBD","k7HXdKtiEU","LRNGc0VcxI","MGuIdZPyUC","ukq6epAj5P"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","xUOZtlo3hN","X99M06cbEe","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1960, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1808","layer":4},{"info":"compute unary expreesion, input=1808, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1324","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1324, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , 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=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1302","layer":3},{"info":"number node, value=2214","layer":4},{"info":"number node, value=5634","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=5634, 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=-1302, 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=3394","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=3394, right_input=2591, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5491368","layer":3},{"info":"compute unary expreesion, input=5491368, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=329476462","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=329476462, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫛⫱⨽⋰*⋻831≌⋰*⋻1522⩼⇪↪(≤/⋰*⋻13A4))⊴(((⊲⪭⋰*⋻936)⊉≛↸⋰*⋻1733∀⇚≩⋰*⋻4262)⫥∨⫟(⇘(⋰*⋻2606∋⋰*⋻1A46)))=NaN","reverse_text":"NaN=(⫛⫱⨽⋰*⋻831≌⋰*⋻1522⩼⇪↪(≤/⋰*⋻13A4))⊴(((⊲⪭⋰*⋻936)⊉≛↸⋰*⋻1733∀⇚≩⋰*⋻4262)⫥∨⫟(⇘(⋰*⋻2606∋⋰*⋻1A46)))","cot":[{"info":"⋰*⋻831≌⋰*⋻1522=NaN","layer":3},{"info":"≤/⋰*⋻13A4=⋰*⋻-AA4","layer":3},{"info":"NaN⩼⇪↪⋰*⋻-AA4=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⊲⪭⋰*⋻936=⋰*⋻-A84","layer":3},{"info":"⋰*⋻1733∀⇚≩⋰*⋻4262=NaN","layer":3},{"info":"⋰*⋻-A84⊉≛↸NaN=NaN","layer":2},{"info":"⋰*⋻2606∋⋰*⋻1A46=⋰*⋻3110823","layer":3},{"info":"⇘⋰*⋻3110823=⋰*⋻159A875A7","layer":2},{"info":"NaN⫥∨⫟⋰*⋻159A875A7=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"((∡(⊵⊁$1037$))∷(($1465$⪃↞⩐)⪠⩆⊳))⋕⪉⪜(($1871$⪛$1924$∠↢$3431$⫣⪄⊒$5127$)⇄((⨵≀≌$1223$)≥⨤⩑($4004$⋭≵$1204$)))","expression":"((∡(⊵⊁⋰*⋻863))∷((⋰*⋻1112⪃↞⩐)⪠⩆⊳))⋕⪉⪜((⋰*⋻1451⪛⋰*⋻149A∠↢⋰*⋻263A⫣⪄⊒⋰*⋻3941)⇄((⨵≀≌⋰*⋻A12)≥⨤⩑(⋰*⋻3010⋭≵⋰*⋻9A5)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":915,"operation_count":13,"complexity_ratio":70.38461538461539,"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":1037,"base":11}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1465,"base":11}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1871,"base":11},"right_expr":{"type":"numeric_atoms","value":1924,"base":11}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3431,"base":11},"right_expr":{"type":"numeric_atoms","value":5127,"base":11}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1223,"base":11}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4004,"base":11},"right_expr":{"type":"numeric_atoms","value":1204,"base":11}}}}},"used_operators":["z6LnFrNh4i","D3AQDKkPcf","pRsWfj4Fpp","AvED76WdY7","JLbD19bQDL","grXIztHqDa","3EYGwJThht","KbjG8mgYpV","uFcxV4UQCh","RabNbG55vr","gJLn6v0xnP","srAu1WTS94","jBncVCNhdl"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","7j4O788W3g","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⋰*⋻2118","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=5152","layer":3},{"info":"compute unary expreesion, input=5152, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5152","layer":2},{"info":"number node, value=1465","layer":4},{"info":"compute unary expreesion, input=1465, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=9096","layer":3},{"info":"compute unary expreesion, input=9096, 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=-5152, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4358","layer":1},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1924, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1871","layer":3},{"info":"number node, value=3431","layer":4},{"info":"number node, value=5127","layer":4},{"info":"compute binary expreesion, left_input=3431, right_input=5127, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-24412","layer":3},{"info":"compute binary expreesion, left_input=1871, right_input=-24412, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=335366","layer":2},{"info":"number node, value=1223","layer":4},{"info":"compute unary expreesion, input=1223, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3669","layer":3},{"info":"number node, value=4004","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=1204, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-3669, right_input=67, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=335366, right_input=1234, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4358, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":0}],"base":11,"result_base":11,"text":"((∡(⊵⊁⋰*⋻863))∷((⋰*⋻1112⪃↞⩐)⪠⩆⊳))⋕⪉⪜((⋰*⋻1451⪛⋰*⋻149A∠↢⋰*⋻263A⫣⪄⊒⋰*⋻3941)⇄((⨵≀≌⋰*⋻A12)≥⨤⩑(⋰*⋻3010⋭≵⋰*⋻9A5)))=⋰*⋻2118","reverse_text":"⋰*⋻2118=((∡(⊵⊁⋰*⋻863))∷((⋰*⋻1112⪃↞⩐)⪠⩆⊳))⋕⪉⪜((⋰*⋻1451⪛⋰*⋻149A∠↢⋰*⋻263A⫣⪄⊒⋰*⋻3941)⇄((⨵≀≌⋰*⋻A12)≥⨤⩑(⋰*⋻3010⋭≵⋰*⋻9A5)))","cot":[{"info":"⊵⊁⋰*⋻863=⋰*⋻3964","layer":3},{"info":"∡⋰*⋻3964=⋰*⋻-3964","layer":2},{"info":"⋰*⋻1112⪃↞⩐=⋰*⋻691A","layer":3},{"info":"⋰*⋻691A⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻-3964∷⋰*⋻0=⋰*⋻3302","layer":1},{"info":"⋰*⋻1451⪛⋰*⋻149A=⋰*⋻1451","layer":3},{"info":"⋰*⋻263A⫣⪄⊒⋰*⋻3941=⋰*⋻-17383","layer":3},{"info":"⋰*⋻1451∠↢⋰*⋻-17383=⋰*⋻209A69","layer":2},{"info":"⨵≀≌⋰*⋻A12=⋰*⋻-2836","layer":3},{"info":"⋰*⋻3010⋭≵⋰*⋻9A5=⋰*⋻61","layer":3},{"info":"⋰*⋻-2836≥⨤⩑⋰*⋻61=⋰*⋻A22","layer":2},{"info":"⋰*⋻209A69⇄⋰*⋻A22=⋰*⋻0","layer":1},{"info":"⋰*⋻3302⋕⪉⪜⋰*⋻0=⋰*⋻2118","layer":0}]}
{"id":104,"expression_no_base_symbol":"($5750$⫃⨇$7114$)⩇∃⫛(⇾⩊⇾$1195$)⨰(↪⫪⫘($6192$⇔⨋))⇼⇔∾($1097$⇻⋧≁$3718$≹⇙⪍($4214$⨎$1594$))⨔⇊(($2224$⫦⪉$8091$)⨎⋸⪻)","expression":"(⋰*⋻4358⫃⨇⋰*⋻5388)⩇∃⫛(⇾⩊⇾⋰*⋻997)⨰(↪⫪⫘(⋰*⋻471A⇔⨋))⇼⇔∾(⋰*⋻908⇻⋧≁⋰*⋻2880≹⇙⪍(⋰*⋻3191⨎⋰*⋻121A))⨔⇊((⋰*⋻1742⫦⪉⋰*⋻6096)⨎⋸⪻)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2680,"operation_count":13,"complexity_ratio":206.15384615384616,"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":5750,"base":11},"right_expr":{"type":"numeric_atoms","value":7114,"base":11}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1195,"base":11}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":6192,"base":11}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1097,"base":11},"right_expr":{"type":"numeric_atoms","value":3718,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4214,"base":11},"right_expr":{"type":"numeric_atoms","value":1594,"base":11}}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2224,"base":11},"right_expr":{"type":"numeric_atoms","value":8091,"base":11}}}}},"used_operators":["tifHPKVTfV","eewbuw0ToL","1aApVXNlOP","09Ly4LVMIf","bx9Z9DAK5y","9dWsAM3GFt","uBihLCJcMX","JclMnS0uGI","AHs5Up7iyr","jCPkEVoL5K","rJVOvQCfKK","Dk5vyLCiGd","wscyQdcy20"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","dWAJyo7jo9","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","IWmyXbctLI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⋰*⋻20367","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5750","layer":4},{"info":"number node, value=7114","layer":4},{"info":"compute binary expreesion, left_input=5750, right_input=7114, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-28488","layer":3},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-17241","layer":3},{"info":"compute binary expreesion, left_input=-28488, right_input=-17241, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-28488","layer":2},{"info":"number node, value=6192","layer":4},{"info":"compute unary expreesion, input=6192, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=36082","layer":3},{"info":"compute unary expreesion, input=36082, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-28488, right_input=20, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-28498","layer":1},{"info":"number node, value=1097","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=3718, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=4214","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=1594, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1594","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=1594, 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=2224","layer":4},{"info":"number node, value=8091","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=8091, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=452","layer":3},{"info":"compute unary expreesion, input=452, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=1220","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1220, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1220","layer":1},{"info":"compute binary expreesion, left_input=-28498, right_input=1220, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=29718","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4358⫃⨇⋰*⋻5388)⩇∃⫛(⇾⩊⇾⋰*⋻997)⨰(↪⫪⫘(⋰*⋻471A⇔⨋))⇼⇔∾(⋰*⋻908⇻⋧≁⋰*⋻2880≹⇙⪍(⋰*⋻3191⨎⋰*⋻121A))⨔⇊((⋰*⋻1742⫦⪉⋰*⋻6096)⨎⋸⪻)=⋰*⋻20367","reverse_text":"⋰*⋻20367=(⋰*⋻4358⫃⨇⋰*⋻5388)⩇∃⫛(⇾⩊⇾⋰*⋻997)⨰(↪⫪⫘(⋰*⋻471A⇔⨋))⇼⇔∾(⋰*⋻908⇻⋧≁⋰*⋻2880≹⇙⪍(⋰*⋻3191⨎⋰*⋻121A))⨔⇊((⋰*⋻1742⫦⪉⋰*⋻6096)⨎⋸⪻)","cot":[{"info":"⋰*⋻4358⫃⨇⋰*⋻5388=⋰*⋻-1A449","layer":3},{"info":"⇾⩊⇾⋰*⋻997=⋰*⋻-11A54","layer":3},{"info":"⋰*⋻-1A449⩇∃⫛⋰*⋻-11A54=⋰*⋻-1A449","layer":2},{"info":"⋰*⋻471A⇔⨋=⋰*⋻25122","layer":3},{"info":"↪⫪⫘⋰*⋻25122=⋰*⋻19","layer":2},{"info":"⋰*⋻-1A449⨰⋰*⋻19=⋰*⋻-1A458","layer":1},{"info":"⋰*⋻908⇻⋧≁⋰*⋻2880=⋰*⋻-377","layer":3},{"info":"⋰*⋻3191⨎⋰*⋻121A=⋰*⋻121A","layer":3},{"info":"⋰*⋻-377≹⇙⪍⋰*⋻121A=NaN","layer":2},{"info":"⋰*⋻1742⫦⪉⋰*⋻6096=⋰*⋻381","layer":3},{"info":"⋰*⋻381⨎⋸⪻=⋰*⋻A0A","layer":2},{"info":"NaN⨔⇊⋰*⋻A0A=⋰*⋻A0A","layer":1},{"info":"⋰*⋻-1A458⇼⇔∾⋰*⋻A0A=⋰*⋻20367","layer":0}]}
{"id":105,"expression_no_base_symbol":"(⪲⇎$5675$↬$4574$⋝⋈⪟$1111$∛$5138$)∑⇟⊟((⇐$1183$∺≝⩲$2690$)⩷∴($2067$⨵⪆$1092$)≌($6941$⇴$6247$))","expression":"(⪲⇎⋰*⋻429A↬⋰*⋻3489⋝⋈⪟⋰*⋻920∛⋰*⋻3951)∑⇟⊟((⇐⋰*⋻986∺≝⩲⋰*⋻2026)⩷∴(⋰*⋻160A⨵⪆⋰*⋻903)≌(⋰*⋻5240⇴⋰*⋻476A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":54063,"operation_count":11,"complexity_ratio":4914.818181818182,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5675,"base":11},"right_expr":{"type":"numeric_atoms","value":4574,"base":11}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1111,"base":11},"right_expr":{"type":"numeric_atoms","value":5138,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1183,"base":11},"right_expr":{"type":"numeric_atoms","value":2690,"base":11}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2067,"base":11},"right_expr":{"type":"numeric_atoms","value":1092,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6941,"base":11},"right_expr":{"type":"numeric_atoms","value":6247,"base":11}}}}},"used_operators":["U7g4x0WXJJ","XPYlsWDdGa","2DDjHMKMc0","B5M0gjZbta","w2537kitQq","9FxExcQeMw","nmZMaaE0Q9","KPf6cnQVty","lyWz822IDG","2DQ55sFlQl","4JB6nKBMSY"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5675","layer":4},{"info":"number node, value=4574","layer":4},{"info":"compute binary expreesion, left_input=5675, right_input=4574, 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=1111","layer":4},{"info":"number node, value=5138","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=5138, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', 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=1183","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=2690, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-762","layer":2},{"info":"number node, value=2067","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=1092, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=6941","layer":4},{"info":"number node, value=6247","layer":4},{"info":"compute binary expreesion, left_input=6941, right_input=6247, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=53754","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=53754, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-762, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎⋰*⋻429A↬⋰*⋻3489⋝⋈⪟⋰*⋻920∛⋰*⋻3951)∑⇟⊟((⇐⋰*⋻986∺≝⩲⋰*⋻2026)⩷∴(⋰*⋻160A⨵⪆⋰*⋻903)≌(⋰*⋻5240⇴⋰*⋻476A))=NaN","reverse_text":"NaN=(⪲⇎⋰*⋻429A↬⋰*⋻3489⋝⋈⪟⋰*⋻920∛⋰*⋻3951)∑⇟⊟((⇐⋰*⋻986∺≝⩲⋰*⋻2026)⩷∴(⋰*⋻160A⨵⪆⋰*⋻903)≌(⋰*⋻5240⇴⋰*⋻476A))","cot":[{"info":"⋰*⋻429A↬⋰*⋻3489=NaN","layer":3},{"info":"⋰*⋻920∛⋰*⋻3951=⋰*⋻-55A","layer":3},{"info":"NaN⋝⋈⪟⋰*⋻-55A=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⋰*⋻986∺≝⩲⋰*⋻2026=⋰*⋻136","layer":3},{"info":"⇐⋰*⋻136=⋰*⋻-633","layer":2},{"info":"⋰*⋻160A⨵⪆⋰*⋻903=⋰*⋻136","layer":3},{"info":"⋰*⋻5240⇴⋰*⋻476A=⋰*⋻37428","layer":3},{"info":"⋰*⋻136≌⋰*⋻37428=NaN","layer":2},{"info":"⋰*⋻-633⩷∴NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(($1703$≳⇉$1895$)⇻⋧≁($3753$≚⊃≕$2722$)⪚(⪡⇡≛(⫖→$4214$)))≝⊿(($1018$≎⊠⪸$2611$)⊋($4520$⫃⨇$2198$))≦↸(($2755$⨹)⨐⩸⫘$5978$⨎$6032$)","expression":"((⋰*⋻1309≳⇉⋰*⋻1473)⇻⋧≁(⋰*⋻2902≚⊃≕⋰*⋻2055)⪚(⪡⇡≛(⫖→⋰*⋻3191)))≝⊿((⋰*⋻846≎⊠⪸⋰*⋻1A64)⊋(⋰*⋻343A⫃⨇⋰*⋻1719))≦↸((⋰*⋻2085⨹)⨐⩸⫘⋰*⋻4545⨎⋰*⋻4594)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":48615478,"operation_count":14,"complexity_ratio":3472534.1428571427,"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":1703,"base":11},"right_expr":{"type":"numeric_atoms","value":1895,"base":11}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3753,"base":11},"right_expr":{"type":"numeric_atoms","value":2722,"base":11}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":4214,"base":11}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":2611,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4520,"base":11},"right_expr":{"type":"numeric_atoms","value":2198,"base":11}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":2755,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5978,"base":11},"right_expr":{"type":"numeric_atoms","value":6032,"base":11}}}}},"used_operators":["OKKcZfAt5B","HrjLwUk87U","jCPkEVoL5K","V0kx6qeWkN","Bmrmz2XGnR","qL4PrbW1Dq","U4ylXWHChL","RygbFNSyEJ","W4tP9CfskL","bJkvcejdHO","09Ly4LVMIf","fu6greOZ01","UnCoSGIALn","rJVOvQCfKK"],"dependent_operators":["12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","3ViojmjbAp","mp7IySMOzn","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1703","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=1895, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=3753","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=2722, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"number node, value=4214","layer":4},{"info":"compute unary expreesion, input=4214, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-177, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=1018","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=2611, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=263189","layer":3},{"info":"number node, value=4520","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=4520, right_input=2198, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8824","layer":3},{"info":"compute binary expreesion, left_input=263189, right_input=-8824, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-181934","layer":2},{"info":"number node, value=2755","layer":4},{"info":"compute unary expreesion, input=2755, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=5510","layer":3},{"info":"number node, value=5978","layer":4},{"info":"number node, value=6032","layer":4},{"info":"compute binary expreesion, left_input=5978, right_input=6032, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6032","layer":3},{"info":"compute binary expreesion, left_input=5510, right_input=6032, 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=-181934, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1309≳⇉⋰*⋻1473)⇻⋧≁(⋰*⋻2902≚⊃≕⋰*⋻2055)⪚(⪡⇡≛(⫖→⋰*⋻3191)))≝⊿((⋰*⋻846≎⊠⪸⋰*⋻1A64)⊋(⋰*⋻343A⫃⨇⋰*⋻1719))≦↸((⋰*⋻2085⨹)⨐⩸⫘⋰*⋻4545⨎⋰*⋻4594)=NaN","reverse_text":"NaN=((⋰*⋻1309≳⇉⋰*⋻1473)⇻⋧≁(⋰*⋻2902≚⊃≕⋰*⋻2055)⪚(⪡⇡≛(⫖→⋰*⋻3191)))≝⊿((⋰*⋻846≎⊠⪸⋰*⋻1A64)⊋(⋰*⋻343A⫃⨇⋰*⋻1719))≦↸((⋰*⋻2085⨹)⨐⩸⫘⋰*⋻4545⨎⋰*⋻4594)","cot":[{"info":"⋰*⋻1309≳⇉⋰*⋻1473=NaN","layer":3},{"info":"⋰*⋻2902≚⊃≕⋰*⋻2055=⋰*⋻61","layer":3},{"info":"NaN⇻⋧≁⋰*⋻61=NaN","layer":2},{"info":"⫖→⋰*⋻3191=⋰*⋻151","layer":3},{"info":"⪡⇡≛⋰*⋻151=⋰*⋻-151","layer":2},{"info":"NaN⪚⋰*⋻-151=NaN","layer":1},{"info":"⋰*⋻846≎⊠⪸⋰*⋻1A64=⋰*⋻16A813","layer":3},{"info":"⋰*⋻343A⫃⨇⋰*⋻1719=⋰*⋻-66A2","layer":3},{"info":"⋰*⋻16A813⊋⋰*⋻-66A2=⋰*⋻-114765","layer":2},{"info":"⋰*⋻2085⨹=⋰*⋻415A","layer":3},{"info":"⋰*⋻4545⨎⋰*⋻4594=⋰*⋻4594","layer":3},{"info":"⋰*⋻415A⨐⩸⫘⋰*⋻4594=NaN","layer":2},{"info":"⋰*⋻-114765≦↸NaN=NaN","layer":1},{"info":"NaN≝⊿NaN=NaN","layer":0}]}
{"id":107,"expression_no_base_symbol":"(≀↧⇸($4155$⫦⪉$1367$)≴⪞⇿($1035$≫≃))⨂≜(⩪∧⨌(⨂⪏⇭$1144$⨼⩣$4165$))","expression":"(≀↧⇸(⋰*⋻3138⫦⪉⋰*⋻1033)≴⪞⇿(⋰*⋻861≫≃))⨂≜(⩪∧⨌(⨂⪏⇭⋰*⋻950⨼⩣⋰*⋻3147))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":182173,"operation_count":8,"complexity_ratio":22771.625,"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":4155,"base":11},"right_expr":{"type":"numeric_atoms","value":1367,"base":11}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1035,"base":11}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1144,"base":11},"right_expr":{"type":"numeric_atoms","value":4165,"base":11}}}}},"used_operators":["k1SHOSEABc","ljTHtUsqzn","lvlrscuwVU","wscyQdcy20","X99M06cbEe","6iOiAJX1F8","AYdpE9sXAk","JxwMv5le6e"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","XPYlsWDdGa","23Mk6UjR3U","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4155","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=1367, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3410","layer":3},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3471","layer":3},{"info":"compute binary expreesion, left_input=-3410, right_input=3471, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-45420","layer":2},{"info":"compute unary expreesion, input=-45420, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=181680","layer":1},{"info":"number node, value=1144","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=4165, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=181680, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≀↧⇸(⋰*⋻3138⫦⪉⋰*⋻1033)≴⪞⇿(⋰*⋻861≫≃))⨂≜(⩪∧⨌(⨂⪏⇭⋰*⋻950⨼⩣⋰*⋻3147))=NaN","reverse_text":"NaN=(≀↧⇸(⋰*⋻3138⫦⪉⋰*⋻1033)≴⪞⇿(⋰*⋻861≫≃))⨂≜(⩪∧⨌(⨂⪏⇭⋰*⋻950⨼⩣⋰*⋻3147))","cot":[{"info":"⋰*⋻3138⫦⪉⋰*⋻1033=⋰*⋻-2620","layer":3},{"info":"⋰*⋻861≫≃=⋰*⋻2676","layer":3},{"info":"⋰*⋻-2620≴⪞⇿⋰*⋻2676=⋰*⋻-31141","layer":2},{"info":"≀↧⇸⋰*⋻-31141=⋰*⋻114554","layer":1},{"info":"⋰*⋻950⨼⩣⋰*⋻3147=NaN","layer":3},{"info":"⨂⪏⇭NaN=NaN","layer":2},{"info":"⩪∧⨌NaN=NaN","layer":1},{"info":"⋰*⋻114554⨂≜NaN=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"(($4054$↞⋁$2679$⫔⩽⩺$1452$≨$3068$)⪘⫢($1003$⩘⨬⇊)⪮%⊝($1917$⫃⨇$1303$))⇍⊗(↔($4857$≎⊠⪸$3027$)≎⪠($1760$≎⪠$2156$))","expression":"((⋰*⋻3056↞⋁⋰*⋻2016⫔⩽⩺⋰*⋻1100≨⋰*⋻233A)⪘⫢(⋰*⋻832⩘⨬⇊)⪮%⊝(⋰*⋻1493⫃⨇⋰*⋻A85))⇍⊗(↔(⋰*⋻3716≎⊠⪸⋰*⋻2302)≎⪠(⋰*⋻1360≎⪠⋰*⋻1690))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41195,"operation_count":12,"complexity_ratio":3432.9166666666665,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4054,"base":11},"right_expr":{"type":"numeric_atoms","value":2679,"base":11}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1452,"base":11},"right_expr":{"type":"numeric_atoms","value":3068,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":1003,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1917,"base":11},"right_expr":{"type":"numeric_atoms","value":1303,"base":11}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4857,"base":11},"right_expr":{"type":"numeric_atoms","value":3027,"base":11}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1760,"base":11},"right_expr":{"type":"numeric_atoms","value":2156,"base":11}}}}},"used_operators":["5uvYHDjeKN","oacrs7FA3X","i9eR4S00cU","RqrPlJkxDo","0KMCeP1Jsh","IWmyXbctLI","XXmTpEpWTW","09Ly4LVMIf","ruOEQAzv1W","aNhz54LH3e","bJkvcejdHO"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tw270M8GLb","fu6greOZ01","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻-202","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4054","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=4054, right_input=2679, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1452","layer":4},{"info":"number node, value=3068","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=3068, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12044, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1303, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5244, 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 = 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=4857","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=4857, right_input=3027, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1257490","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=2156","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=2156, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=1257490, right_input=19558, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute unary expreesion, input=19558, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-19285","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19285, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3056↞⋁⋰*⋻2016⫔⩽⩺⋰*⋻1100≨⋰*⋻233A)⪘⫢(⋰*⋻832⩘⨬⇊)⪮%⊝(⋰*⋻1493⫃⨇⋰*⋻A85))⇍⊗(↔(⋰*⋻3716≎⊠⪸⋰*⋻2302)≎⪠(⋰*⋻1360≎⪠⋰*⋻1690))=⋰*⋻-202","reverse_text":"⋰*⋻-202=((⋰*⋻3056↞⋁⋰*⋻2016⫔⩽⩺⋰*⋻1100≨⋰*⋻233A)⪘⫢(⋰*⋻832⩘⨬⇊)⪮%⊝(⋰*⋻1493⫃⨇⋰*⋻A85))⇍⊗(↔(⋰*⋻3716≎⊠⪸⋰*⋻2302)≎⪠(⋰*⋻1360≎⪠⋰*⋻1690))","cot":[{"info":"⋰*⋻3056↞⋁⋰*⋻2016=NaN","layer":3},{"info":"⋰*⋻1100≨⋰*⋻233A=⋰*⋻-905A","layer":3},{"info":"NaN⫔⩽⩺⋰*⋻-905A=NaN","layer":2},{"info":"⋰*⋻832⩘⨬⇊=NaN","layer":3},{"info":"⋰*⋻1493⫃⨇⋰*⋻A85=⋰*⋻-3A38","layer":3},{"info":"NaN⪮%⊝⋰*⋻-3A38=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"⋰*⋻3716≎⊠⪸⋰*⋻2302=⋰*⋻789853","layer":3},{"info":"⋰*⋻1360≎⪠⋰*⋻1690=⋰*⋻13770","layer":3},{"info":"⋰*⋻789853≎⪠⋰*⋻13770=⋰*⋻13770","layer":2},{"info":"↔⋰*⋻13770=⋰*⋻-13542","layer":1},{"info":"NaN⇍⊗⋰*⋻-13542=⋰*⋻-202","layer":0}]}
{"id":109,"expression_no_base_symbol":"((⇾⩊⇾$3947$)⪹)↳≱($5002$≦↸$1660$⩌⋺(≤/$5698$))⨭⪣(($2263$⩺⪪$2027$)∇⊂⋱($1010$⪡$2398$))∳⫺($2488$⨭⪣$4500$↸($7339$∪⫐$3735$))","expression":"((⇾⩊⇾⋰*⋻2A69)⪹)↳≱(⋰*⋻3838≦↸⋰*⋻127A⩌⋺(≤/⋰*⋻4310))⨭⪣((⋰*⋻1778⩺⪪⋰*⋻1583)∇⊂⋱(⋰*⋻839⪡⋰*⋻1890))∳⫺(⋰*⋻1962⨭⪣⋰*⋻3421↸(⋰*⋻5572∪⫐⋰*⋻2896))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1612,"operation_count":14,"complexity_ratio":115.14285714285714,"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":3947,"base":11}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5002,"base":11},"right_expr":{"type":"numeric_atoms","value":1660,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5698,"base":11}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2263,"base":11},"right_expr":{"type":"numeric_atoms","value":2027,"base":11}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1010,"base":11},"right_expr":{"type":"numeric_atoms","value":2398,"base":11}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2488,"base":11},"right_expr":{"type":"numeric_atoms","value":4500,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":7339,"base":11},"right_expr":{"type":"numeric_atoms","value":3735,"base":11}}}}},"used_operators":["kn8WO9XteQ","JwTKLfZU96","B3sABdIn96","bx9Z9DAK5y","g7Hmc5v1ko","RygbFNSyEJ","eLAdDNolq6","AzXXKTstlj","nhYeJWJD5X","uvdQJvN4PV","oraRL2iQuh","1eCjFl0mb9","7YooWSwCyH"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rJVOvQCfKK","2DDjHMKMc0"],"result":"⋰*⋻-273","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3947","layer":4},{"info":"compute unary expreesion, input=3947, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-42009","layer":3},{"info":"compute unary expreesion, input=-42009, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=-78464","layer":2},{"info":"number node, value=5002","layer":4},{"info":"number node, value=1660","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=1660, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12643","layer":3},{"info":"number node, value=5698","layer":4},{"info":"compute unary expreesion, input=5698, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5214","layer":3},{"info":"compute binary expreesion, left_input=-12643, right_input=-5214, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=17736","layer":2},{"info":"compute binary expreesion, left_input=-78464, right_input=17736, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=2263","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=2027, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-4674","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=2398","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2398, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-4674, right_input=107, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-214","layer":2},{"info":"number node, value=2488","layer":4},{"info":"number node, value=4500","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=4500, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1209","layer":3},{"info":"number node, value=7339","layer":4},{"info":"number node, value=3735","layer":4},{"info":"compute binary expreesion, left_input=7339, right_input=3735, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=7339","layer":3},{"info":"compute binary expreesion, left_input=1209, right_input=7339, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1209","layer":2},{"info":"compute binary expreesion, left_input=-214, right_input=1209, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-3212","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3212, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":0}],"base":11,"result_base":11,"text":"((⇾⩊⇾⋰*⋻2A69)⪹)↳≱(⋰*⋻3838≦↸⋰*⋻127A⩌⋺(≤/⋰*⋻4310))⨭⪣((⋰*⋻1778⩺⪪⋰*⋻1583)∇⊂⋱(⋰*⋻839⪡⋰*⋻1890))∳⫺(⋰*⋻1962⨭⪣⋰*⋻3421↸(⋰*⋻5572∪⫐⋰*⋻2896))=⋰*⋻-273","reverse_text":"⋰*⋻-273=((⇾⩊⇾⋰*⋻2A69)⪹)↳≱(⋰*⋻3838≦↸⋰*⋻127A⩌⋺(≤/⋰*⋻4310))⨭⪣((⋰*⋻1778⩺⪪⋰*⋻1583)∇⊂⋱(⋰*⋻839⪡⋰*⋻1890))∳⫺(⋰*⋻1962⨭⪣⋰*⋻3421↸(⋰*⋻5572∪⫐⋰*⋻2896))","cot":[{"info":"⇾⩊⇾⋰*⋻2A69=⋰*⋻-29620","layer":3},{"info":"⋰*⋻-29620⪹=⋰*⋻-53A51","layer":2},{"info":"⋰*⋻3838≦↸⋰*⋻127A=⋰*⋻-9554","layer":3},{"info":"≤/⋰*⋻4310=⋰*⋻-3A10","layer":3},{"info":"⋰*⋻-9554⩌⋺⋰*⋻-3A10=⋰*⋻12364","layer":2},{"info":"⋰*⋻-53A51↳≱⋰*⋻12364=⋰*⋻0","layer":1},{"info":"⋰*⋻1778⩺⪪⋰*⋻1583=⋰*⋻-356A","layer":3},{"info":"⋰*⋻839⪡⋰*⋻1890=⋰*⋻98","layer":3},{"info":"⋰*⋻-356A∇⊂⋱⋰*⋻98=⋰*⋻-185","layer":2},{"info":"⋰*⋻1962⨭⪣⋰*⋻3421=⋰*⋻9AA","layer":3},{"info":"⋰*⋻5572∪⫐⋰*⋻2896=⋰*⋻5572","layer":3},{"info":"⋰*⋻9AA↸⋰*⋻5572=⋰*⋻9AA","layer":2},{"info":"⋰*⋻-185∳⫺⋰*⋻9AA=⋰*⋻-2460","layer":1},{"info":"⋰*⋻0⨭⪣⋰*⋻-2460=⋰*⋻-273","layer":0}]}
{"id":110,"expression_no_base_symbol":"(≪(($2988$∙⊟$7660$)⫥∨⫟$1044$⨪↰⇹$4975$))⨿(⫯((⇐$4924$)⩇∃⫛$6169$≄⊠$3842$))","expression":"(≪((⋰*⋻2277∙⊟⋰*⋻5834)⫥∨⫟⋰*⋻86A⨪↰⇹⋰*⋻3813))⨿(⫯((⇐⋰*⋻3777)⩇∃⫛⋰*⋻46A9≄⊠⋰*⋻2983))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4688,"operation_count":9,"complexity_ratio":520.8888888888889,"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":2988,"base":11},"right_expr":{"type":"numeric_atoms","value":7660,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":4975,"base":11}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":4924,"base":11}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6169,"base":11},"right_expr":{"type":"numeric_atoms","value":3842,"base":11}}}}},"used_operators":["abYXlopdE0","Qtd6bqUJcN","KYD54nUTWz","SxTAKzQCrw","tmPS8pqC7x","H6BK1Evt7c","1aApVXNlOP","nmZMaaE0Q9","vXNesLlMH1"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","8HhzD0ZcuI","rGHVDoGpnC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rJVOvQCfKK","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⋰*⋻-270","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2988","layer":4},{"info":"number node, value=7660","layer":4},{"info":"compute binary expreesion, left_input=2988, right_input=7660, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=48690","layer":3},{"info":"number node, value=1044","layer":4},{"info":"number node, value=4975","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=4975, 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=1044","layer":3},{"info":"compute binary expreesion, left_input=48690, right_input=1044, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"number node, value=4924","layer":4},{"info":"compute unary expreesion, input=4924, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=16770","layer":3},{"info":"number node, value=6169","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=6169, right_input=3842, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=66140","layer":3},{"info":"compute binary expreesion, left_input=16770, right_input=66140, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=49843","layer":2},{"info":"compute unary expreesion, input=49843, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-2078618","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=-2078618, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":11,"result_base":11,"text":"(≪((⋰*⋻2277∙⊟⋰*⋻5834)⫥∨⫟⋰*⋻86A⨪↰⇹⋰*⋻3813))⨿(⫯((⇐⋰*⋻3777)⩇∃⫛⋰*⋻46A9≄⊠⋰*⋻2983))=⋰*⋻-270","reverse_text":"⋰*⋻-270=(≪((⋰*⋻2277∙⊟⋰*⋻5834)⫥∨⫟⋰*⋻86A⨪↰⇹⋰*⋻3813))⨿(⫯((⇐⋰*⋻3777)⩇∃⫛⋰*⋻46A9≄⊠⋰*⋻2983))","cot":[{"info":"⋰*⋻2277∙⊟⋰*⋻5834=⋰*⋻33644","layer":3},{"info":"⋰*⋻86A⨪↰⇹⋰*⋻3813=⋰*⋻86A","layer":3},{"info":"⋰*⋻33644⫥∨⫟⋰*⋻86A=NaN","layer":2},{"info":"≪NaN=⋰*⋻760","layer":1},{"info":"⇐⋰*⋻3777=⋰*⋻11666","layer":3},{"info":"⋰*⋻46A9≄⊠⋰*⋻2983=⋰*⋻45768","layer":3},{"info":"⋰*⋻11666⩇∃⫛⋰*⋻45768=⋰*⋻344A2","layer":2},{"info":"⫯⋰*⋻344A2=⋰*⋻-119A773","layer":1},{"info":"⋰*⋻760⨿⋰*⋻-119A773=⋰*⋻-270","layer":0}]}
{"id":111,"expression_no_base_symbol":"((⩷$1317$↞⋁$1015$)⋳⪒(≛($1193$⊫∞)))↹⊜(⨂⪏⇭(⇁⨣⪵($3455$∪⫐$1625$)))","expression":"((⩷⋰*⋻A98↞⋁⋰*⋻843)⋳⪒(≛(⋰*⋻995⊫∞)))↹⊜(⨂⪏⇭(⇁⨣⪵(⋰*⋻2661∪⫐⋰*⋻1248)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23405,"operation_count":9,"complexity_ratio":2600.5555555555557,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1317,"base":11},"right_expr":{"type":"numeric_atoms","value":1015,"base":11}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":1193,"base":11}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3455,"base":11},"right_expr":{"type":"numeric_atoms","value":1625,"base":11}}}}},"used_operators":["9bazX3JMtO","12rbrZMWeM","1h0rLqGiFr","RqrPlJkxDo","W7eaUhjymW","pABnYW3G3E","AYdpE9sXAk","inkyxCbjAn","7YooWSwCyH"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","B5M0gjZbta","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1015, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-237, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3455","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=3455, right_input=1625, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3455","layer":3},{"info":"compute unary expreesion, input=3455, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⩷⋰*⋻A98↞⋁⋰*⋻843)⋳⪒(≛(⋰*⋻995⊫∞)))↹⊜(⨂⪏⇭(⇁⨣⪵(⋰*⋻2661∪⫐⋰*⋻1248)))=NaN","reverse_text":"NaN=((⩷⋰*⋻A98↞⋁⋰*⋻843)⋳⪒(≛(⋰*⋻995⊫∞)))↹⊜(⨂⪏⇭(⇁⨣⪵(⋰*⋻2661∪⫐⋰*⋻1248)))","cot":[{"info":"⋰*⋻A98↞⋁⋰*⋻843=NaN","layer":3},{"info":"⩷NaN=NaN","layer":2},{"info":"⋰*⋻995⊫∞=⋰*⋻0","layer":3},{"info":"≛⋰*⋻0=⋰*⋻-1A6","layer":2},{"info":"NaN⋳⪒⋰*⋻-1A6=NaN","layer":1},{"info":"⋰*⋻2661∪⫐⋰*⋻1248=⋰*⋻2661","layer":3},{"info":"⇁⨣⪵⋰*⋻2661=NaN","layer":2},{"info":"⨂⪏⇭NaN=NaN","layer":1},{"info":"NaN↹⊜NaN=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"(($4218$∩⋅)+⪬∐$1736$⪝$3065$⊉≛↸(⨴⫝(⊊≼∋$6416$)))≁(⇵⪽((⇜⊴$1500$)⇐≅))","expression":"((⋰*⋻3195∩⋅)+⪬∐⋰*⋻1339⪝⋰*⋻2337⊉≛↸(⨴⫝(⊊≼∋⋰*⋻4903)))≁(⇵⪽((⇜⊴⋰*⋻1144)⇐≅))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8835,"operation_count":10,"complexity_ratio":883.5,"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":4218,"base":11}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1736,"base":11},"right_expr":{"type":"numeric_atoms","value":3065,"base":11}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":6416,"base":11}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1500,"base":11}}}}},"used_operators":["8N2wDY1A35","DZ8iAZOCBD","2GS7woTJqF","2MzE1hQ0cz","wicAB68Tmb","SVb2v531z1","FWz7pXsQhA","ZGCBLdVRRX","wEfv7U73WA","XwDhCwWbUn"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","Qy55tPpLXF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","B5M0gjZbta","jCPkEVoL5K","U7g4x0WXJJ","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4218","layer":4},{"info":"compute unary expreesion, input=4218, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-4097","layer":3},{"info":"number node, value=1736","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=3065, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=-4097, right_input=237, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=12291","layer":2},{"info":"number node, value=6416","layer":4},{"info":"compute unary expreesion, input=6416, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=12291, right_input=2828198, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=24582","layer":1},{"info":"number node, value=1500","layer":4},{"info":"compute unary expreesion, input=1500, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-340286","layer":3},{"info":"compute unary expreesion, input=-340286, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=339813","layer":2},{"info":"compute unary expreesion, input=339813, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=24582, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3195∩⋅)+⪬∐⋰*⋻1339⪝⋰*⋻2337⊉≛↸(⨴⫝(⊊≼∋⋰*⋻4903)))≁(⇵⪽((⇜⊴⋰*⋻1144)⇐≅))=NaN","reverse_text":"NaN=((⋰*⋻3195∩⋅)+⪬∐⋰*⋻1339⪝⋰*⋻2337⊉≛↸(⨴⫝(⊊≼∋⋰*⋻4903)))≁(⇵⪽((⇜⊴⋰*⋻1144)⇐≅))","cot":[{"info":"⋰*⋻3195∩⋅=⋰*⋻-3095","layer":3},{"info":"⋰*⋻1339⪝⋰*⋻2337=⋰*⋻1A6","layer":3},{"info":"⋰*⋻-3095+⪬∐⋰*⋻1A6=⋰*⋻9264","layer":2},{"info":"⊊≼∋⋰*⋻4903=⋰*⋻-377","layer":3},{"info":"⨴⫝⋰*⋻-377=⋰*⋻166195A","layer":2},{"info":"⋰*⋻9264⊉≛↸⋰*⋻166195A=⋰*⋻17518","layer":1},{"info":"⇜⊴⋰*⋻1144=⋰*⋻-212731","layer":3},{"info":"⋰*⋻-212731⇐≅=⋰*⋻212341","layer":2},{"info":"⇵⪽⋰*⋻212341=NaN","layer":1},{"info":"⋰*⋻17518≁NaN=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"(⨵(⨰⫟⨤($1639$⪠⩆⊳)))≳⇉(⋗⩬⋾($1102$∈)⩁⩘$2072$⇡⇂$1460$)","expression":"(⨵(⨰⫟⨤(⋰*⋻1260⪠⩆⊳)))≳⇉(⋗⩬⋾(⋰*⋻912∈)⩁⩘⋰*⋻1614⇡⇂⋰*⋻1108)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7966,"operation_count":8,"complexity_ratio":995.75,"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":1639,"base":11}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1102,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2072,"base":11},"right_expr":{"type":"numeric_atoms","value":1460,"base":11}}}}},"used_operators":["V0kx6qeWkN","Tl3Y52tvF8","Tw270M8GLb","JLbD19bQDL","DpFCA1CohY","gub5Cegaqo","ztP7wcbY7m","UMwdvZNt44"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute unary expreesion, input=4492662, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-35942505","layer":1},{"info":"number node, value=1102","layer":4},{"info":"compute unary expreesion, input=1102, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=2635","layer":3},{"info":"number node, value=2072","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=1460, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2635, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=-35942505, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵(⨰⫟⨤(⋰*⋻1260⪠⩆⊳)))≳⇉(⋗⩬⋾(⋰*⋻912∈)⩁⩘⋰*⋻1614⇡⇂⋰*⋻1108)=NaN","reverse_text":"NaN=(⨵(⨰⫟⨤(⋰*⋻1260⪠⩆⊳)))≳⇉(⋗⩬⋾(⋰*⋻912∈)⩁⩘⋰*⋻1614⇡⇂⋰*⋻1108)","cot":[{"info":"⋰*⋻1260⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⨰⫟⨤⋰*⋻0=⋰*⋻2599449","layer":2},{"info":"⨵⋰*⋻2599449=⋰*⋻-1931A155","layer":1},{"info":"⋰*⋻912∈=⋰*⋻1A86","layer":3},{"info":"⋰*⋻1614⇡⇂⋰*⋻1108=NaN","layer":3},{"info":"⋰*⋻1A86⩁⩘NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⋰*⋻-1931A155≳⇉NaN=NaN","layer":0}]}
{"id":114,"expression_no_base_symbol":"(($3175$∥⊢⊲$2637$⩒⫫(⇠$4034$))≦↸($7273$⪢$3254$≓∲$8088$⪭≯$1674$))⋹⋡⊁((($3146$⊍⩺⋍$2959$)≧⫂∧$6067$↹⊜$1580$)⪮%⊝($2312$⋓$3331$⩎⪣⊞))","expression":"((⋰*⋻2427∥⊢⊲⋰*⋻1A88⩒⫫(⇠⋰*⋻3038))≦↸(⋰*⋻5512⪢⋰*⋻2499≓∲⋰*⋻6093⪭≯⋰*⋻1292))⋹⋡⊁(((⋰*⋻2400⊍⩺⋍⋰*⋻2250)≧⫂∧⋰*⋻4616↹⊜⋰*⋻1207)⪮%⊝(⋰*⋻1812⋓⋰*⋻2559⩎⪣⊞))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15773,"operation_count":14,"complexity_ratio":1126.642857142857,"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":3175,"base":11},"right_expr":{"type":"numeric_atoms","value":2637,"base":11}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":4034,"base":11}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7273,"base":11},"right_expr":{"type":"numeric_atoms","value":3254,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":8088,"base":11},"right_expr":{"type":"numeric_atoms","value":1674,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3146,"base":11},"right_expr":{"type":"numeric_atoms","value":2959,"base":11}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":6067,"base":11},"right_expr":{"type":"numeric_atoms","value":1580,"base":11}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2312,"base":11},"right_expr":{"type":"numeric_atoms","value":3331,"base":11}}}}},"used_operators":["As8RqfVLgs","RygbFNSyEJ","KFSx94NKJn","v1UQAVDJRr","18saOjeKKm","s1XTVnmDOJ","dWAJyo7jo9","XAx5wpdLa6","IWmyXbctLI","Ph9nP6C5qx","OXDGMFPWZM","9bazX3JMtO","waWucp1uQ4","T2fj7uvVaJ"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","k8jYdgA6NY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","mp7IySMOzn","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3175","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=3175, right_input=2637, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4034","layer":4},{"info":"compute unary expreesion, input=4034, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3792","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3792, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=7273","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=7273, right_input=3254, 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=8088","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=8088, right_input=1674, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=3146","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=3146, right_input=2959, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=6067","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=6067, right_input=1580, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5718","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5718, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5245","layer":2},{"info":"number node, value=2312","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=3331, 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 = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5245, right_input=0, 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 = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2427∥⊢⊲⋰*⋻1A88⩒⫫(⇠⋰*⋻3038))≦↸(⋰*⋻5512⪢⋰*⋻2499≓∲⋰*⋻6093⪭≯⋰*⋻1292))⋹⋡⊁(((⋰*⋻2400⊍⩺⋍⋰*⋻2250)≧⫂∧⋰*⋻4616↹⊜⋰*⋻1207)⪮%⊝(⋰*⋻1812⋓⋰*⋻2559⩎⪣⊞))=NaN","reverse_text":"NaN=((⋰*⋻2427∥⊢⊲⋰*⋻1A88⩒⫫(⇠⋰*⋻3038))≦↸(⋰*⋻5512⪢⋰*⋻2499≓∲⋰*⋻6093⪭≯⋰*⋻1292))⋹⋡⊁(((⋰*⋻2400⊍⩺⋍⋰*⋻2250)≧⫂∧⋰*⋻4616↹⊜⋰*⋻1207)⪮%⊝(⋰*⋻1812⋓⋰*⋻2559⩎⪣⊞))","cot":[{"info":"⋰*⋻2427∥⊢⊲⋰*⋻1A88=NaN","layer":3},{"info":"⇠⋰*⋻3038=⋰*⋻-2938","layer":3},{"info":"NaN⩒⫫⋰*⋻-2938=NaN","layer":2},{"info":"⋰*⋻5512⪢⋰*⋻2499=NaN","layer":3},{"info":"⋰*⋻6093⪭≯⋰*⋻1292=NaN","layer":3},{"info":"NaN≓∲NaN=NaN","layer":2},{"info":"NaN≦↸NaN=NaN","layer":1},{"info":"⋰*⋻2400⊍⩺⋍⋰*⋻2250=NaN","layer":3},{"info":"⋰*⋻4616↹⊜⋰*⋻1207=⋰*⋻4329","layer":3},{"info":"NaN≧⫂∧⋰*⋻4329=⋰*⋻3A39","layer":2},{"info":"⋰*⋻1812⋓⋰*⋻2559=⋰*⋻0","layer":3},{"info":"⋰*⋻0⩎⪣⊞=⋰*⋻0","layer":2},{"info":"⋰*⋻3A39⪮%⊝⋰*⋻0=NaN","layer":1},{"info":"NaN⋹⋡⊁NaN=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"(⨈⫕$1521$+⪬∐$4094$↡⊰⫅($1405$∙∹∝$2165$))⇷($5509$⇣⩺⋵$3928$⪇≇⋚($4047$%$2711$))⊕∕(⫡⇟⇯$1077$⨟⋌⩍$1450$)","expression":"(⨈⫕⋰*⋻1163+⪬∐⋰*⋻3092↡⊰⫅(⋰*⋻1068∙∹∝⋰*⋻1699))⇷(⋰*⋻4159⇣⩺⋵⋰*⋻2A51⪇≇⋚(⋰*⋻304A%⋰*⋻2045))⊕∕(⫡⇟⇯⋰*⋻89A⨟⋌⩍⋰*⋻10A9)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":789,"operation_count":11,"complexity_ratio":71.72727272727273,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1521,"base":11},"right_expr":{"type":"numeric_atoms","value":4094,"base":11}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1405,"base":11},"right_expr":{"type":"numeric_atoms","value":2165,"base":11}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5509,"base":11},"right_expr":{"type":"numeric_atoms","value":3928,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4047,"base":11},"right_expr":{"type":"numeric_atoms","value":2711,"base":11}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1077,"base":11},"right_expr":{"type":"numeric_atoms","value":1450,"base":11}}}}},"used_operators":["mp7IySMOzn","megm06wKyl","VCtxkLNOzz","2GS7woTJqF","HmxsFra2vL","9cloC0Ngie","3sJ7IOPOlU","F4yD0voBRQ","k8jYdgA6NY","qWUSsah53b","rGHVDoGpnC"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","g55IO6H4Gj","D4vGDi5EA2","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","DZ8iAZOCBD","P8v4zCKN1o","Tcnh7f0tEr"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1521","layer":4},{"info":"number node, value=4094","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=4094, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4563","layer":3},{"info":"number node, value=1405","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=2165, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4563, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":2},{"info":"compute 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=5509","layer":4},{"info":"number node, value=3928","layer":4},{"info":"compute binary expreesion, left_input=5509, right_input=3928, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=4047","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=4047, right_input=2711, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1336","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=1336, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1077","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=1450, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕⋰*⋻1163+⪬∐⋰*⋻3092↡⊰⫅(⋰*⋻1068∙∹∝⋰*⋻1699))⇷(⋰*⋻4159⇣⩺⋵⋰*⋻2A51⪇≇⋚(⋰*⋻304A%⋰*⋻2045))⊕∕(⫡⇟⇯⋰*⋻89A⨟⋌⩍⋰*⋻10A9)=⋰*⋻0","reverse_text":"⋰*⋻0=(⨈⫕⋰*⋻1163+⪬∐⋰*⋻3092↡⊰⫅(⋰*⋻1068∙∹∝⋰*⋻1699))⇷(⋰*⋻4159⇣⩺⋵⋰*⋻2A51⪇≇⋚(⋰*⋻304A%⋰*⋻2045))⊕∕(⫡⇟⇯⋰*⋻89A⨟⋌⩍⋰*⋻10A9)","cot":[{"info":"⋰*⋻1163+⪬∐⋰*⋻3092=⋰*⋻-3479","layer":3},{"info":"⋰*⋻1068∙∹∝⋰*⋻1699=⋰*⋻0","layer":3},{"info":"⋰*⋻-3479↡⊰⫅⋰*⋻0=⋰*⋻0","layer":2},{"info":"⨈⫕⋰*⋻0=⋰*⋻-1A","layer":1},{"info":"⋰*⋻4159⇣⩺⋵⋰*⋻2A51=⋰*⋻-217","layer":3},{"info":"⋰*⋻304A%⋰*⋻2045=⋰*⋻1005","layer":3},{"info":"⋰*⋻-217⪇≇⋚⋰*⋻1005=⋰*⋻0","layer":2},{"info":"⋰*⋻89A⨟⋌⩍⋰*⋻10A9=NaN","layer":3},{"info":"⫡⇟⇯NaN=NaN","layer":2},{"info":"⋰*⋻0⊕∕NaN=⋰*⋻0","layer":1},{"info":"⋰*⋻-1A⇷⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":116,"expression_no_base_symbol":"((⨵≀≌$1955$)⨟⋌⩍(≋$1208$)⊠≄⫣)⩉⊫⨁","expression":"((⨵≀≌⋰*⋻1518)⨟⋌⩍(≋⋰*⋻9A9)⊠≄⫣)⩉⊫⨁","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":1955,"base":11}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1208,"base":11}}}}},"used_operators":["7qqUquhhSb","DIvbN7qnHd","rGHVDoGpnC","srAu1WTS94","61wBmkZwlr"],"dependent_operators":["7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1955","layer":4},{"info":"compute unary expreesion, input=1955, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5865","layer":3},{"info":"number node, value=1208","layer":4},{"info":"compute unary expreesion, input=1208, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1208","layer":3},{"info":"compute binary expreesion, left_input=-5865, right_input=1208, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨵≀≌⋰*⋻1518)⨟⋌⩍(≋⋰*⋻9A9)⊠≄⫣)⩉⊫⨁=NaN","reverse_text":"NaN=((⨵≀≌⋰*⋻1518)⨟⋌⩍(≋⋰*⋻9A9)⊠≄⫣)⩉⊫⨁","cot":[{"info":"⨵≀≌⋰*⋻1518=⋰*⋻-4452","layer":3},{"info":"≋⋰*⋻9A9=⋰*⋻9A9","layer":3},{"info":"⋰*⋻-4452⨟⋌⩍⋰*⋻9A9=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN⩉⊫⨁=NaN","layer":0}]}
{"id":117,"expression_no_base_symbol":"(⩎⋉($3730$⫯⪬∳$1992$∣(⨈⫕$4105$)))∣($1056$⫁⪎$1178$∲⫓$5252$⫢⨠$1064$)∣($1925$∠↢$1640$)⨂≜($2449$⫑)","expression":"(⩎⋉(⋰*⋻2891⫯⪬∳⋰*⋻1551∣(⨈⫕⋰*⋻30A2)))∣(⋰*⋻880⫁⪎⋰*⋻981∲⫓⋰*⋻3A45⫢⨠⋰*⋻888)∣(⋰*⋻14A0∠↢⋰*⋻1261)⨂≜(⋰*⋻1927⫑)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30336,"operation_count":12,"complexity_ratio":2528.0,"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":3730,"base":11},"right_expr":{"type":"numeric_atoms","value":1992,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4105,"base":11}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1056,"base":11},"right_expr":{"type":"numeric_atoms","value":1178,"base":11}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5252,"base":11},"right_expr":{"type":"numeric_atoms","value":1064,"base":11}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1925,"base":11},"right_expr":{"type":"numeric_atoms","value":1640,"base":11}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":2449,"base":11}}}}},"used_operators":["PPChnnnBFF","FlXk3pOYe8","d7ASUq0ydm","megm06wKyl","i8ToyICDmI","xRrnTEsQ6j","xlXykHWxX1","k1SHOSEABc","KbjG8mgYpV","CgIo77xlM2"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"⋰*⋻-580","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3730","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=1992, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=16691","layer":3},{"info":"number node, value=4105","layer":4},{"info":"compute unary expreesion, input=4105, 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=16691, right_input=-21, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-15734","layer":2},{"info":"compute unary expreesion, input=-15734, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":1},{"info":"number node, value=1056","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1178, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-122","layer":3},{"info":"number node, value=5252","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=5252, right_input=1064, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-122, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-122","layer":2},{"info":"number node, value=1925","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1640, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-29578","layer":3},{"info":"number node, value=2449","layer":4},{"info":"compute unary expreesion, input=2449, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=-29578, right_input=3979, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-122, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-122","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=-122, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-693","layer":0}],"base":11,"result_base":11,"text":"(⩎⋉(⋰*⋻2891⫯⪬∳⋰*⋻1551∣(⨈⫕⋰*⋻30A2)))∣(⋰*⋻880⫁⪎⋰*⋻981∲⫓⋰*⋻3A45⫢⨠⋰*⋻888)∣(⋰*⋻14A0∠↢⋰*⋻1261)⨂≜(⋰*⋻1927⫑)=⋰*⋻-580","reverse_text":"⋰*⋻-580=(⩎⋉(⋰*⋻2891⫯⪬∳⋰*⋻1551∣(⨈⫕⋰*⋻30A2)))∣(⋰*⋻880⫁⪎⋰*⋻981∲⫓⋰*⋻3A45⫢⨠⋰*⋻888)∣(⋰*⋻14A0∠↢⋰*⋻1261)⨂≜(⋰*⋻1927⫑)","cot":[{"info":"⋰*⋻2891⫯⪬∳⋰*⋻1551=⋰*⋻115A4","layer":3},{"info":"⨈⫕⋰*⋻30A2=⋰*⋻-1A","layer":3},{"info":"⋰*⋻115A4∣⋰*⋻-1A=⋰*⋻-10904","layer":2},{"info":"⩎⋉⋰*⋻-10904=⋰*⋻1270","layer":1},{"info":"⋰*⋻880⫁⪎⋰*⋻981=⋰*⋻-101","layer":3},{"info":"⋰*⋻3A45⫢⨠⋰*⋻888=⋰*⋻136","layer":3},{"info":"⋰*⋻-101∲⫓⋰*⋻136=⋰*⋻-101","layer":2},{"info":"⋰*⋻14A0∠↢⋰*⋻1261=⋰*⋻-2024A","layer":3},{"info":"⋰*⋻1927⫑=⋰*⋻2A98","layer":3},{"info":"⋰*⋻-2024A⨂≜⋰*⋻2A98=NaN","layer":2},{"info":"⋰*⋻-101∣NaN=⋰*⋻-101","layer":1},{"info":"⋰*⋻1270∣⋰*⋻-101=⋰*⋻-580","layer":0}]}
{"id":118,"expression_no_base_symbol":"≯(($1438$⫳≱↱$4745$)⩼⇪↪(⇁⨣⪵$3284$)⋾⨃∁(⊁⨺$2143$)⨔⇊($6599$⩨$2057$))","expression":"≯((⋰*⋻1098⫳≱↱⋰*⋻3624)⩼⇪↪(⇁⨣⪵⋰*⋻2516)⋾⨃∁(⊁⨺⋰*⋻1679)⨔⇊(⋰*⋻4A5A⩨⋰*⋻1600))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":378,"operation_count":8,"complexity_ratio":47.25,"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":1438,"base":11},"right_expr":{"type":"numeric_atoms","value":4745,"base":11}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3284,"base":11}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2143,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6599,"base":11},"right_expr":{"type":"numeric_atoms","value":2057,"base":11}}}}},"used_operators":["keWfFq85dY","212REbPD9h","ocnLzx9CaJ","ZvLB05nZmT","inkyxCbjAn","JclMnS0uGI","PxiHyQbrIp","2DlMacCsIx"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","B5M0gjZbta","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1438","layer":4},{"info":"number node, value=4745","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=4745, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3284","layer":4},{"info":"compute unary expreesion, input=3284, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=2143","layer":4},{"info":"compute unary expreesion, input=2143, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=6599","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=6599, right_input=2057, 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=160, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":1},{"info":"compute unary expreesion, input=-94, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":11,"result_base":11,"text":"≯((⋰*⋻1098⫳≱↱⋰*⋻3624)⩼⇪↪(⇁⨣⪵⋰*⋻2516)⋾⨃∁(⊁⨺⋰*⋻1679)⨔⇊(⋰*⋻4A5A⩨⋰*⋻1600))=⋰*⋻0","reverse_text":"⋰*⋻0=≯((⋰*⋻1098⫳≱↱⋰*⋻3624)⩼⇪↪(⇁⨣⪵⋰*⋻2516)⋾⨃∁(⊁⨺⋰*⋻1679)⨔⇊(⋰*⋻4A5A⩨⋰*⋻1600))","cot":[{"info":"⋰*⋻1098⫳≱↱⋰*⋻3624=⋰*⋻-176","layer":3},{"info":"⇁⨣⪵⋰*⋻2516=NaN","layer":3},{"info":"⋰*⋻-176⩼⇪↪NaN=NaN","layer":2},{"info":"⊁⨺⋰*⋻1679=⋰*⋻136","layer":3},{"info":"⋰*⋻4A5A⩨⋰*⋻1600=⋰*⋻0","layer":3},{"info":"⋰*⋻136⨔⇊⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⋾⨃∁⋰*⋻0=⋰*⋻-86","layer":1},{"info":"≯⋰*⋻-86=⋰*⋻0","layer":0}]}
{"id":119,"expression_no_base_symbol":"(($2876$∑⇟⊟$3002$)⇍⊗$1563$∥⊢⊲$7184$)↢((⨣⨃⇪$1974$)⨸⪁($1520$⪥⨬⪅))⪪(⇾⩊⇾($1762$⇴$1814$∠⫱$4763$⩧⪆$4621$))","expression":"((⋰*⋻2185∑⇟⊟⋰*⋻228A)⇍⊗⋰*⋻11A1∥⊢⊲⋰*⋻5441)↢((⨣⨃⇪⋰*⋻1535)⨸⪁(⋰*⋻1162⪥⨬⪅))⪪(⇾⩊⇾(⋰*⋻1362⇴⋰*⋻13AA∠⫱⋰*⋻3640⩧⪆⋰*⋻3521))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":274,"operation_count":12,"complexity_ratio":22.833333333333332,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2876,"base":11},"right_expr":{"type":"numeric_atoms","value":3002,"base":11}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1563,"base":11},"right_expr":{"type":"numeric_atoms","value":7184,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1974,"base":11}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":1520,"base":11}}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1762,"base":11},"right_expr":{"type":"numeric_atoms","value":1814,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4763,"base":11},"right_expr":{"type":"numeric_atoms","value":4621,"base":11}}}}},"used_operators":["xD69zh8xqp","WR6HLWljOP","5uvYHDjeKN","U7g4x0WXJJ","v1UQAVDJRr","g55IO6H4Gj","AcOhelriW5","zNRQejTB5A","bx9Z9DAK5y","QvoQhV0rrE","4JB6nKBMSY","Ikt5ks8PT7"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","sdazOOVcIp","NTOWxs364D","COABgblf1C","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2876","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=3002, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1563","layer":4},{"info":"number node, value=7184","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=7184, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=-473, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1864","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1864, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"number node, value=1762","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=1814, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=13814","layer":3},{"info":"number node, value=4763","layer":4},{"info":"number node, value=4621","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=4621, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4621","layer":3},{"info":"compute binary expreesion, left_input=13814, right_input=-4621, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=18435","layer":2},{"info":"compute unary expreesion, input=18435, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-172401","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-172401, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2185∑⇟⊟⋰*⋻228A)⇍⊗⋰*⋻11A1∥⊢⊲⋰*⋻5441)↢((⨣⨃⇪⋰*⋻1535)⨸⪁(⋰*⋻1162⪥⨬⪅))⪪(⇾⩊⇾(⋰*⋻1362⇴⋰*⋻13AA∠⫱⋰*⋻3640⩧⪆⋰*⋻3521))=NaN","reverse_text":"NaN=((⋰*⋻2185∑⇟⊟⋰*⋻228A)⇍⊗⋰*⋻11A1∥⊢⊲⋰*⋻5441)↢((⨣⨃⇪⋰*⋻1535)⨸⪁(⋰*⋻1162⪥⨬⪅))⪪(⇾⩊⇾(⋰*⋻1362⇴⋰*⋻13AA∠⫱⋰*⋻3640⩧⪆⋰*⋻3521))","cot":[{"info":"⋰*⋻2185∑⇟⊟⋰*⋻228A=NaN","layer":3},{"info":"⋰*⋻11A1∥⊢⊲⋰*⋻5441=NaN","layer":3},{"info":"NaN⇍⊗NaN=NaN","layer":2},{"info":"⨣⨃⇪⋰*⋻1535=⋰*⋻1068","layer":3},{"info":"⋰*⋻1162⪥⨬⪅=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻1068⨸⪁⋰*⋻-3A0=⋰*⋻1445","layer":2},{"info":"NaN↢⋰*⋻1445=NaN","layer":1},{"info":"⋰*⋻1362⇴⋰*⋻13AA=⋰*⋻A419","layer":3},{"info":"⋰*⋻3640⩧⪆⋰*⋻3521=⋰*⋻-3521","layer":3},{"info":"⋰*⋻A419∠⫱⋰*⋻-3521=⋰*⋻1293A","layer":2},{"info":"⇾⩊⇾⋰*⋻1293A=⋰*⋻-108589","layer":1},{"info":"NaN⪪⋰*⋻-108589=NaN","layer":0}]}
{"id":120,"expression_no_base_symbol":"⊙↵-(↥≼⋛($4863$↬$2070$∕⩚$2072$⇡⇂$2560$))","expression":"⊙↵-(↥≼⋛(⋰*⋻3721↬⋰*⋻1612∕⩚⋰*⋻1614⇡⇂⋰*⋻1A18))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":16098,"operation_count":5,"complexity_ratio":3219.6,"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":4863,"base":11},"right_expr":{"type":"numeric_atoms","value":2070,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2072,"base":11},"right_expr":{"type":"numeric_atoms","value":2560,"base":11}}}}},"used_operators":["oWn0xqSxBt","x5lMkHmzsq","z9ffQ9n5Zr","B5M0gjZbta","UMwdvZNt44"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rGHVDoGpnC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⋰*⋻169","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4863","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=4863, right_input=2070, 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=2072","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=2560, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-454","layer":1},{"info":"compute unary expreesion, input=-454, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":11,"result_base":11,"text":"⊙↵-(↥≼⋛(⋰*⋻3721↬⋰*⋻1612∕⩚⋰*⋻1614⇡⇂⋰*⋻1A18))=⋰*⋻169","reverse_text":"⋰*⋻169=⊙↵-(↥≼⋛(⋰*⋻3721↬⋰*⋻1612∕⩚⋰*⋻1614⇡⇂⋰*⋻1A18))","cot":[{"info":"⋰*⋻3721↬⋰*⋻1612=NaN","layer":3},{"info":"⋰*⋻1614⇡⇂⋰*⋻1A18=NaN","layer":3},{"info":"NaN∕⩚NaN=⋰*⋻-403","layer":2},{"info":"↥≼⋛⋰*⋻-403=⋰*⋻-383","layer":1},{"info":"⊙↵-⋰*⋻-383=⋰*⋻169","layer":0}]}
{"id":121,"expression_no_base_symbol":"(((⫖→$3478$)⪁$2548$⪎↠$3719$)⊪)⪚(($1821$≠≀$1457$)⩼⇪↪($4221$⊿∆)∇⊂⋱($5630$⪢$6554$)⪃⊛⇣($2971$⊹∫⫚$6941$))","expression":"(((⫖→⋰*⋻2682)⪁⋰*⋻1A07⪎↠⋰*⋻2881)⊪)⪚((⋰*⋻1406≠≀⋰*⋻1105)⩼⇪↪(⋰*⋻3198⊿∆)∇⊂⋱(⋰*⋻4259⪢⋰*⋻4A19)⪃⊛⇣(⋰*⋻2261⊹∫⫚⋰*⋻5240))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":415021,"operation_count":12,"complexity_ratio":34585.083333333336,"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":3478,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2548,"base":11},"right_expr":{"type":"numeric_atoms","value":3719,"base":11}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1821,"base":11},"right_expr":{"type":"numeric_atoms","value":1457,"base":11}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":4221,"base":11}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5630,"base":11},"right_expr":{"type":"numeric_atoms","value":6554,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2971,"base":11},"right_expr":{"type":"numeric_atoms","value":6941,"base":11}}}}},"used_operators":["HrjLwUk87U","zVYPLywUTj","I7sXao9hZE","U4ylXWHChL","3tVxb0NHM4","nhYeJWJD5X","ocnLzx9CaJ","IwW236VD4Y","fv3ZujxkQL","rrgAzCduG9","dWAJyo7jo9","uWAJUKEvyW"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","NTOWxs364D","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","k8jYdgA6NY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3478","layer":4},{"info":"compute unary expreesion, input=3478, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=2548","layer":4},{"info":"number node, value=3719","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=3719, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=160, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', 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=1821","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1457, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3336","layer":3},{"info":"number node, value=4221","layer":4},{"info":"compute unary expreesion, input=4221, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-8563","layer":3},{"info":"compute binary expreesion, left_input=-3336, right_input=-8563, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=52486","layer":2},{"info":"number node, value=5630","layer":4},{"info":"number node, value=6554","layer":4},{"info":"compute binary expreesion, left_input=5630, right_input=6554, 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=2971","layer":4},{"info":"number node, value=6941","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=6941, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-352","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-352, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=52486, right_input=1234, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=104426","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=104426, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⫖→⋰*⋻2682)⪁⋰*⋻1A07⪎↠⋰*⋻2881)⊪)⪚((⋰*⋻1406≠≀⋰*⋻1105)⩼⇪↪(⋰*⋻3198⊿∆)∇⊂⋱(⋰*⋻4259⪢⋰*⋻4A19)⪃⊛⇣(⋰*⋻2261⊹∫⫚⋰*⋻5240))=NaN","reverse_text":"NaN=(((⫖→⋰*⋻2682)⪁⋰*⋻1A07⪎↠⋰*⋻2881)⊪)⪚((⋰*⋻1406≠≀⋰*⋻1105)⩼⇪↪(⋰*⋻3198⊿∆)∇⊂⋱(⋰*⋻4259⪢⋰*⋻4A19)⪃⊛⇣(⋰*⋻2261⊹∫⫚⋰*⋻5240))","cot":[{"info":"⫖→⋰*⋻2682=⋰*⋻151","layer":3},{"info":"⋰*⋻1A07⪎↠⋰*⋻2881=⋰*⋻136","layer":3},{"info":"⋰*⋻151⪁⋰*⋻136=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⋰*⋻1406≠≀⋰*⋻1105=⋰*⋻-2563","layer":3},{"info":"⋰*⋻3198⊿∆=⋰*⋻-6485","layer":3},{"info":"⋰*⋻-2563⩼⇪↪⋰*⋻-6485=⋰*⋻36485","layer":2},{"info":"⋰*⋻4259⪢⋰*⋻4A19=NaN","layer":3},{"info":"⋰*⋻2261⊹∫⫚⋰*⋻5240=⋰*⋻-2A0","layer":3},{"info":"NaN⪃⊛⇣⋰*⋻-2A0=⋰*⋻A22","layer":2},{"info":"⋰*⋻36485∇⊂⋱⋰*⋻A22=⋰*⋻71503","layer":1},{"info":"NaN⪚⋰*⋻71503=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"(($2711$≭$3163$⪉⨛($1249$⊊))∇⊂⋱(⊁⨺($3049$≃$1278$)))⨌↪","expression":"((⋰*⋻2045≭⋰*⋻2416⪉⨛(⋰*⋻A36⊊))∇⊂⋱(⊁⨺(⋰*⋻2322≃⋰*⋻A62)))⨌↪","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":325,"operation_count":7,"complexity_ratio":46.42857142857143,"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":2711,"base":11},"right_expr":{"type":"numeric_atoms","value":3163,"base":11}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1249,"base":11}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3049,"base":11},"right_expr":{"type":"numeric_atoms","value":1278,"base":11}}}}},"used_operators":["cWQsF5MvuD","nhYeJWJD5X","EWw2JM7wp4","rxpJgHHUmx","W9R8I5fN5A","PxiHyQbrIp","YbVcJGFEVW"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AHs5Up7iyr","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⋰*⋻-3A7","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2711","layer":4},{"info":"number node, value=3163","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=3163, 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=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=90927, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"number node, value=3049","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=1278, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-12236","layer":3},{"info":"compute unary expreesion, input=-12236, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-84869","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-84869, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2045≭⋰*⋻2416⪉⨛(⋰*⋻A36⊊))∇⊂⋱(⊁⨺(⋰*⋻2322≃⋰*⋻A62)))⨌↪=⋰*⋻-3A7","reverse_text":"⋰*⋻-3A7=((⋰*⋻2045≭⋰*⋻2416⪉⨛(⋰*⋻A36⊊))∇⊂⋱(⊁⨺(⋰*⋻2322≃⋰*⋻A62)))⨌↪","cot":[{"info":"⋰*⋻2045≭⋰*⋻2416=NaN","layer":3},{"info":"⋰*⋻A36⊊=⋰*⋻62351","layer":3},{"info":"NaN⪉⨛⋰*⋻62351=NaN","layer":2},{"info":"⋰*⋻2322≃⋰*⋻A62=⋰*⋻-9214","layer":3},{"info":"⊁⨺⋰*⋻-9214=⋰*⋻-58844","layer":2},{"info":"NaN∇⊂⋱⋰*⋻-58844=NaN","layer":1},{"info":"NaN⨌↪=⋰*⋻-3A7","layer":0}]}
{"id":123,"expression_no_base_symbol":"($3454$⪃⊛⇣$5110$⊲⩕⊾($3312$⫡⨏$4950$)≚⋢)∥⊢⊲(((∤$1079$)⇌⫙⪟(⨦⪝$1874$))⇗⋫)","expression":"(⋰*⋻2660⪃⊛⇣⋰*⋻3926⊲⩕⊾(⋰*⋻2541⫡⨏⋰*⋻37A0)≚⋢)∥⊢⊲(((∤⋰*⋻8A1)⇌⫙⪟(⨦⪝⋰*⋻1454))⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":765,"operation_count":9,"complexity_ratio":85.0,"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":3454,"base":11},"right_expr":{"type":"numeric_atoms","value":5110,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3312,"base":11},"right_expr":{"type":"numeric_atoms","value":4950,"base":11}}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1079,"base":11}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1874,"base":11}}}}},"used_operators":["v1UQAVDJRr","MahUMFw56D","DmTXOeWf9t","rrgAzCduG9","QMFrweE19q","hpqmaQFPrd","AFVx7xoS7T","k2HlF1dBQh","SUjycxNXIR"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","3ViojmjbAp","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3454","layer":4},{"info":"number node, value=5110","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=5110, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=3312","layer":4},{"info":"number node, value=4950","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=4950, 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=27243","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=27243, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-288804","layer":2},{"info":"compute unary expreesion, input=-288804, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1874","layer":4},{"info":"compute unary expreesion, input=1874, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-1884, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=9438","layer":2},{"info":"compute unary expreesion, input=9438, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2660⪃⊛⇣⋰*⋻3926⊲⩕⊾(⋰*⋻2541⫡⨏⋰*⋻37A0)≚⋢)∥⊢⊲(((∤⋰*⋻8A1)⇌⫙⪟(⨦⪝⋰*⋻1454))⇗⋫)=NaN","reverse_text":"NaN=(⋰*⋻2660⪃⊛⇣⋰*⋻3926⊲⩕⊾(⋰*⋻2541⫡⨏⋰*⋻37A0)≚⋢)∥⊢⊲(((∤⋰*⋻8A1)⇌⫙⪟(⨦⪝⋰*⋻1454))⇗⋫)","cot":[{"info":"⋰*⋻2660⪃⊛⇣⋰*⋻3926=⋰*⋻A22","layer":3},{"info":"⋰*⋻2541⫡⨏⋰*⋻37A0=⋰*⋻19517","layer":3},{"info":"⋰*⋻A22⊲⩕⊾⋰*⋻19517=⋰*⋻-187A8A","layer":2},{"info":"⋰*⋻-187A8A≚⋢=⋰*⋻-81","layer":1},{"info":"∤⋰*⋻8A1=⋰*⋻9","layer":3},{"info":"⨦⪝⋰*⋻1454=⋰*⋻-1463","layer":3},{"info":"⋰*⋻9⇌⫙⪟⋰*⋻-1463=⋰*⋻7100","layer":2},{"info":"⋰*⋻7100⇗⋫=NaN","layer":1},{"info":"⋰*⋻-81∥⊢⊲NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"(≇⪴(($1510$⋣⋖$2590$)⪪(⩪∧⨌$1528$)))⩘((⨦⪝(⫛⫱⨽$1791$))↬⩅∪)","expression":"(≇⪴((⋰*⋻1153⋣⋖⋰*⋻1A45)⪪(⩪∧⨌⋰*⋻116A)))⩘((⨦⪝(⫛⫱⨽⋰*⋻1389))↬⩅∪)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2695416,"operation_count":8,"complexity_ratio":336927.0,"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":1510,"base":11},"right_expr":{"type":"numeric_atoms","value":2590,"base":11}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1528,"base":11}}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1791,"base":11}}}}},"used_operators":["cHh1gJQ2o6","zoVPnxeHJ3","xD69zh8xqp","J0M6qkBnIM","6iOiAJX1F8","VJ330n2nnx","SUjycxNXIR","DlLNRPXxWL"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rGHVDoGpnC"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=2590, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1510","layer":3},{"info":"number node, value=1528","layer":4},{"info":"compute unary expreesion, input=1528, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=15280","layer":3},{"info":"compute binary expreesion, left_input=1510, right_input=15280, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-224099","layer":2},{"info":"compute unary expreesion, input=-224099, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-896396","layer":1},{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute unary expreesion, input=-1884, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=5652","layer":1},{"info":"compute binary expreesion, left_input=-896396, right_input=5652, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":11,"result_base":11,"text":"(≇⪴((⋰*⋻1153⋣⋖⋰*⋻1A45)⪪(⩪∧⨌⋰*⋻116A)))⩘((⨦⪝(⫛⫱⨽⋰*⋻1389))↬⩅∪)=⋰*⋻136","reverse_text":"⋰*⋻136=(≇⪴((⋰*⋻1153⋣⋖⋰*⋻1A45)⪪(⩪∧⨌⋰*⋻116A)))⩘((⨦⪝(⫛⫱⨽⋰*⋻1389))↬⩅∪)","cot":[{"info":"⋰*⋻1153⋣⋖⋰*⋻1A45=⋰*⋻1153","layer":3},{"info":"⩪∧⨌⋰*⋻116A=⋰*⋻10531","layer":3},{"info":"⋰*⋻1153⪪⋰*⋻10531=⋰*⋻-143407","layer":2},{"info":"≇⪴⋰*⋻-143407=⋰*⋻-562526","layer":1},{"info":"⫛⫱⨽⋰*⋻1389=⋰*⋻0","layer":3},{"info":"⨦⪝⋰*⋻0=⋰*⋻-1463","layer":2},{"info":"⋰*⋻-1463↬⩅∪=⋰*⋻4279","layer":1},{"info":"⋰*⋻-562526⩘⋰*⋻4279=⋰*⋻136","layer":0}]}
{"id":125,"expression_no_base_symbol":"(($1848$⫑%∭)⪭($2594$⫦⪉$3112$)≬⋮($1398$⪒$1980$)∌↝($3677$⨒$6980$))⇤(($1585$⨟⋌⩍$1560$∙∹∝$6124$⋝⋈⪟$6733$)⪕($3434$⨿$1342$⪒$1841$⋳⪒$2664$))","expression":"((⋰*⋻1430⫑%∭)⪭(⋰*⋻1A49⫦⪉⋰*⋻237A)≬⋮(⋰*⋻1061⪒⋰*⋻1540)∌↝(⋰*⋻2843⨒⋰*⋻5276))⇤((⋰*⋻1211⨟⋌⩍⋰*⋻1199∙∹∝⋰*⋻4668⋝⋈⪟⋰*⋻5071)⪕(⋰*⋻2642⨿⋰*⋻1010⪒⋰*⋻1424⋳⪒⋰*⋻2002))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1317,"operation_count":15,"complexity_ratio":87.8,"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":1848,"base":11}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2594,"base":11},"right_expr":{"type":"numeric_atoms","value":3112,"base":11}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1398,"base":11},"right_expr":{"type":"numeric_atoms","value":1980,"base":11}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3677,"base":11},"right_expr":{"type":"numeric_atoms","value":6980,"base":11}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1585,"base":11},"right_expr":{"type":"numeric_atoms","value":1560,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6124,"base":11},"right_expr":{"type":"numeric_atoms","value":6733,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3434,"base":11},"right_expr":{"type":"numeric_atoms","value":1342,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1841,"base":11},"right_expr":{"type":"numeric_atoms","value":2664,"base":11}}}}},"used_operators":["YSKBFp38Pu","kbkesczE7y","j9kHMeSvPp","xUx7qlDO4z","wscyQdcy20","9Isq31Ruls","f6k1SAg4EE","y75s1iXyHd","umQnsF7QlU","HmxsFra2vL","rGHVDoGpnC","2DDjHMKMc0","abYXlopdE0","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1848","layer":4},{"info":"compute unary expreesion, input=1848, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=2594","layer":4},{"info":"number node, value=3112","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=3112, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-288","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-288, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=1398","layer":4},{"info":"number node, value=1980","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1980, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3378","layer":3},{"info":"number node, value=3677","layer":4},{"info":"number node, value=6980","layer":4},{"info":"compute binary expreesion, left_input=3677, right_input=6980, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-21690","layer":3},{"info":"compute binary expreesion, left_input=-3378, right_input=-21690, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-3378","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=-3378, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1585","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=1560, 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=6124","layer":4},{"info":"number node, value=6733","layer":4},{"info":"compute binary expreesion, left_input=6124, right_input=6733, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6124","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6124, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"number node, value=3434","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=3434, right_input=1342, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1841","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=2664, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=731","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=731, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-412","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-412, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1430⫑%∭)⪭(⋰*⋻1A49⫦⪉⋰*⋻237A)≬⋮(⋰*⋻1061⪒⋰*⋻1540)∌↝(⋰*⋻2843⨒⋰*⋻5276))⇤((⋰*⋻1211⨟⋌⩍⋰*⋻1199∙∹∝⋰*⋻4668⋝⋈⪟⋰*⋻5071)⪕(⋰*⋻2642⨿⋰*⋻1010⪒⋰*⋻1424⋳⪒⋰*⋻2002))=NaN","reverse_text":"NaN=((⋰*⋻1430⫑%∭)⪭(⋰*⋻1A49⫦⪉⋰*⋻237A)≬⋮(⋰*⋻1061⪒⋰*⋻1540)∌↝(⋰*⋻2843⨒⋰*⋻5276))⇤((⋰*⋻1211⨟⋌⩍⋰*⋻1199∙∹∝⋰*⋻4668⋝⋈⪟⋰*⋻5071)⪕(⋰*⋻2642⨿⋰*⋻1010⪒⋰*⋻1424⋳⪒⋰*⋻2002))","cot":[{"info":"⋰*⋻1430⫑%∭=NaN","layer":3},{"info":"⋰*⋻1A49⫦⪉⋰*⋻237A=⋰*⋻-242","layer":3},{"info":"NaN⪭⋰*⋻-242=⋰*⋻5","layer":2},{"info":"⋰*⋻1061⪒⋰*⋻1540=⋰*⋻-25A1","layer":3},{"info":"⋰*⋻2843⨒⋰*⋻5276=⋰*⋻-15329","layer":3},{"info":"⋰*⋻-25A1∌↝⋰*⋻-15329=⋰*⋻-25A1","layer":2},{"info":"⋰*⋻5≬⋮⋰*⋻-25A1=⋰*⋻71A","layer":1},{"info":"⋰*⋻1211⨟⋌⩍⋰*⋻1199=NaN","layer":3},{"info":"⋰*⋻4668⋝⋈⪟⋰*⋻5071=⋰*⋻4668","layer":3},{"info":"NaN∙∹∝⋰*⋻4668=NaN","layer":2},{"info":"⋰*⋻2642⨿⋰*⋻1010=⋰*⋻-270","layer":3},{"info":"⋰*⋻1424⋳⪒⋰*⋻2002=⋰*⋻605","layer":3},{"info":"⋰*⋻-270⪒⋰*⋻605=⋰*⋻-345","layer":2},{"info":"NaN⪕⋰*⋻-345=NaN","layer":1},{"info":"⋰*⋻71A⇤NaN=NaN","layer":0}]}
{"id":126,"expression_no_base_symbol":"⪡⇡≛((⇜⊴$4207$⇮⋭$1195$)⨔≚≋($1007$≬⇓$2388$)∣($1274$⩵∡$1788$))","expression":"⪡⇡≛((⇜⊴⋰*⋻3185⇮⋭⋰*⋻997)⨔≚≋(⋰*⋻836≬⇓⋰*⋻1881)∣(⋰*⋻A59⩵∡⋰*⋻1386))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":257,"operation_count":7,"complexity_ratio":36.714285714285715,"tree":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4207,"base":11},"right_expr":{"type":"numeric_atoms","value":1195,"base":11}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1007,"base":11},"right_expr":{"type":"numeric_atoms","value":2388,"base":11}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1274,"base":11},"right_expr":{"type":"numeric_atoms","value":1788,"base":11}}}}},"used_operators":["qL4PrbW1Dq","Z57zeUYC9z","XwDhCwWbUn","vkpjKywKVM","PPChnnnBFF","jWTQ2TZYIH","Y7wcNGrDQJ"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⋰*⋻-7465","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4207","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=4207, right_input=1195, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=167614","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2388, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1274","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=1788, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-881","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-881, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=979","layer":2},{"info":"compute binary expreesion, left_input=167614, right_input=979, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute unary expreesion, input=9872, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-9872","layer":0}],"base":11,"result_base":11,"text":"⪡⇡≛((⇜⊴⋰*⋻3185⇮⋭⋰*⋻997)⨔≚≋(⋰*⋻836≬⇓⋰*⋻1881)∣(⋰*⋻A59⩵∡⋰*⋻1386))=⋰*⋻-7465","reverse_text":"⋰*⋻-7465=⪡⇡≛((⇜⊴⋰*⋻3185⇮⋭⋰*⋻997)⨔≚≋(⋰*⋻836≬⇓⋰*⋻1881)∣(⋰*⋻A59⩵∡⋰*⋻1386))","cot":[{"info":"⋰*⋻3185⇮⋭⋰*⋻997=⋰*⋻-3A0","layer":3},{"info":"⇜⊴⋰*⋻-3A0=⋰*⋻104A27","layer":2},{"info":"⋰*⋻836≬⇓⋰*⋻1881=⋰*⋻-20","layer":3},{"info":"⋰*⋻A59⩵∡⋰*⋻1386=⋰*⋻-731","layer":3},{"info":"⋰*⋻-20∣⋰*⋻-731=⋰*⋻810","layer":2},{"info":"⋰*⋻104A27⨔≚≋⋰*⋻810=⋰*⋻7465","layer":1},{"info":"⪡⇡≛⋰*⋻7465=⋰*⋻-7465","layer":0}]}
{"id":127,"expression_no_base_symbol":"(⇙⪊(($3848$⨚⇆$1390$)⊝⪿⪼$6698$⨻⩈⩔$4407$))⩹($2165$⊢$1581$)⨑⩅≇($1905$⋥⋵⩄$1695$)⫣⪄⊒($1069$⨜⨶$6370$⨼⩣$4777$⊉↱≁$3483$)","expression":"(⇙⪊((⋰*⋻2989⨚⇆⋰*⋻1054)⊝⪿⪼⋰*⋻503A⨻⩈⩔⋰*⋻3347))⩹(⋰*⋻1699⊢⋰*⋻1208)⨑⩅≇(⋰*⋻1482⋥⋵⩄⋰*⋻1301)⫣⪄⊒(⋰*⋻892⨜⨶⋰*⋻4871⨼⩣⋰*⋻3653⊉↱≁⋰*⋻2687)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27765,"operation_count":12,"complexity_ratio":2313.75,"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":3848,"base":11},"right_expr":{"type":"numeric_atoms","value":1390,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6698,"base":11},"right_expr":{"type":"numeric_atoms","value":4407,"base":11}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2165,"base":11},"right_expr":{"type":"numeric_atoms","value":1581,"base":11}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1905,"base":11},"right_expr":{"type":"numeric_atoms","value":1695,"base":11}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1069,"base":11},"right_expr":{"type":"numeric_atoms","value":6370,"base":11}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4777,"base":11},"right_expr":{"type":"numeric_atoms","value":3483,"base":11}}}}},"used_operators":["2Wsdkap16l","pB6Fcnrjim","3Oe9XWJUTD","lwHaAYXP2r","nEsXyWgiOK","RabNbG55vr","h92wMvzauj","5twsqlHp2o","7t3wd0Fuz7","JxwMv5le6e","HiPekx5b7W","w2P8NbNXyL"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⋰*⋻134","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3848","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=3848, right_input=1390, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=6698","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=6698, right_input=4407, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=45183","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=45183, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=2165","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=1581, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4574","layer":3},{"info":"number node, value=1905","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=1695, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-4574, right_input=113, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"number node, value=1069","layer":4},{"info":"number node, value=6370","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=6370, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-12484","layer":3},{"info":"number node, value=4777","layer":4},{"info":"number node, value=3483","layer":4},{"info":"compute binary expreesion, left_input=4777, right_input=3483, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=26820","layer":3},{"info":"compute binary expreesion, left_input=-12484, right_input=26820, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=158","layer":0}],"base":11,"result_base":11,"text":"(⇙⪊((⋰*⋻2989⨚⇆⋰*⋻1054)⊝⪿⪼⋰*⋻503A⨻⩈⩔⋰*⋻3347))⩹(⋰*⋻1699⊢⋰*⋻1208)⨑⩅≇(⋰*⋻1482⋥⋵⩄⋰*⋻1301)⫣⪄⊒(⋰*⋻892⨜⨶⋰*⋻4871⨼⩣⋰*⋻3653⊉↱≁⋰*⋻2687)=⋰*⋻134","reverse_text":"⋰*⋻134=(⇙⪊((⋰*⋻2989⨚⇆⋰*⋻1054)⊝⪿⪼⋰*⋻503A⨻⩈⩔⋰*⋻3347))⩹(⋰*⋻1699⊢⋰*⋻1208)⨑⩅≇(⋰*⋻1482⋥⋵⩄⋰*⋻1301)⫣⪄⊒(⋰*⋻892⨜⨶⋰*⋻4871⨼⩣⋰*⋻3653⊉↱≁⋰*⋻2687)","cot":[{"info":"⋰*⋻2989⨚⇆⋰*⋻1054=NaN","layer":3},{"info":"⋰*⋻503A⨻⩈⩔⋰*⋻3347=⋰*⋻30A46","layer":3},{"info":"NaN⊝⪿⪼⋰*⋻30A46=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"⋰*⋻1699⊢⋰*⋻1208=⋰*⋻-3489","layer":3},{"info":"⋰*⋻1482⋥⋵⩄⋰*⋻1301=⋰*⋻A3","layer":3},{"info":"⋰*⋻-3489⨑⩅≇⋰*⋻A3=⋰*⋻-50","layer":2},{"info":"⋰*⋻892⨜⨶⋰*⋻4871=⋰*⋻-941A","layer":3},{"info":"⋰*⋻3653⊉↱≁⋰*⋻2687=⋰*⋻19172","layer":3},{"info":"⋰*⋻-941A⨼⩣⋰*⋻19172=NaN","layer":2},{"info":"⋰*⋻-50⫣⪄⊒NaN=⋰*⋻136","layer":1},{"info":"NaN⩹⋰*⋻136=⋰*⋻134","layer":0}]}
{"id":128,"expression_no_base_symbol":"(($4779$⨸$1256$∽$1968$∺≝⩲$2568$)⊿∆)⨽∌((⪛⨧(∮$1006$))∇⊂⋱($2667$⊋≦⊧$5467$)⨥⫆($1268$⪨⊡$1843$))","expression":"((⋰*⋻3655⨸⋰*⋻A42∽⋰*⋻152A∺≝⩲⋰*⋻1A25)⊿∆)⨽∌((⪛⨧(∮⋰*⋻835))∇⊂⋱(⋰*⋻2005⊋≦⊧⋰*⋻4120)⨥⫆(⋰*⋻A53⪨⊡⋰*⋻1426))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5337,"operation_count":11,"complexity_ratio":485.1818181818182,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4779,"base":11},"right_expr":{"type":"numeric_atoms","value":1256,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1968,"base":11},"right_expr":{"type":"numeric_atoms","value":2568,"base":11}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1006,"base":11}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2667,"base":11},"right_expr":{"type":"numeric_atoms","value":5467,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1268,"base":11},"right_expr":{"type":"numeric_atoms","value":1843,"base":11}}}}},"used_operators":["9samAPKr6k","fv3ZujxkQL","y4ImoPnbV5","KmoU8R5UQR","KPf6cnQVty","nhYeJWJD5X","6NJAcO2OWT","CqXKPLVYql","yXekIHxTD4","oRDoc9rAEX","kuIXHzHcAH"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","NTOWxs364D","NTOWxs364D","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4779","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=1256, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9558","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=2568","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=2568, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=9558, right_input=160, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-48092","layer":2},{"info":"compute unary expreesion, input=-48092, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=96063","layer":1},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1535","layer":2},{"info":"number node, value=2667","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=5467, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7894","layer":3},{"info":"number node, value=1268","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1843, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7894, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=1535, right_input=-1, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2524","layer":1},{"info":"compute binary expreesion, left_input=96063, right_input=2524, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3655⨸⋰*⋻A42∽⋰*⋻152A∺≝⩲⋰*⋻1A25)⊿∆)⨽∌((⪛⨧(∮⋰*⋻835))∇⊂⋱(⋰*⋻2005⊋≦⊧⋰*⋻4120)⨥⫆(⋰*⋻A53⪨⊡⋰*⋻1426))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻3655⨸⋰*⋻A42∽⋰*⋻152A∺≝⩲⋰*⋻1A25)⊿∆)⨽∌((⪛⨧(∮⋰*⋻835))∇⊂⋱(⋰*⋻2005⊋≦⊧⋰*⋻4120)⨥⫆(⋰*⋻A53⪨⊡⋰*⋻1426))","cot":[{"info":"⋰*⋻3655⨸⋰*⋻A42=⋰*⋻71AA","layer":3},{"info":"⋰*⋻152A∺≝⩲⋰*⋻1A25=⋰*⋻136","layer":3},{"info":"⋰*⋻71AA∽⋰*⋻136=⋰*⋻-33150","layer":2},{"info":"⋰*⋻-33150⊿∆=⋰*⋻661A0","layer":1},{"info":"∮⋰*⋻835=⋰*⋻61","layer":3},{"info":"⪛⨧⋰*⋻61=⋰*⋻1176","layer":2},{"info":"⋰*⋻2005⊋≦⊧⋰*⋻4120=⋰*⋻-5A27","layer":3},{"info":"⋰*⋻A53⪨⊡⋰*⋻1426=⋰*⋻0","layer":3},{"info":"⋰*⋻-5A27⨥⫆⋰*⋻0=⋰*⋻-1","layer":2},{"info":"⋰*⋻1176∇⊂⋱⋰*⋻-1=⋰*⋻1995","layer":1},{"info":"⋰*⋻661A0⨽∌⋰*⋻1995=⋰*⋻0","layer":0}]}
{"id":129,"expression_no_base_symbol":"(($1719$⨭⪣$2487$)→⨶⪴$4818$⩣⫁∢$6810$)∳⫺(⇜($3216$↺$1549$))⨔≚≋(⋼∭⪍$1002$⇻⋧≁$1251$⊬⨰($2031$⨔≚≋$1277$))","expression":"((⋰*⋻1323⨭⪣⋰*⋻1961)→⨶⪴⋰*⋻3690⩣⫁∢⋰*⋻5131)∳⫺(⇜(⋰*⋻2464↺⋰*⋻1189))⨔≚≋(⋼∭⪍⋰*⋻831⇻⋧≁⋰*⋻A38⊬⨰(⋰*⋻1587⨔≚≋⋰*⋻A61))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1569,"operation_count":11,"complexity_ratio":142.63636363636363,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1719,"base":11},"right_expr":{"type":"numeric_atoms","value":2487,"base":11}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4818,"base":11},"right_expr":{"type":"numeric_atoms","value":6810,"base":11}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3216,"base":11},"right_expr":{"type":"numeric_atoms","value":1549,"base":11}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1002,"base":11},"right_expr":{"type":"numeric_atoms","value":1251,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2031,"base":11},"right_expr":{"type":"numeric_atoms","value":1277,"base":11}}}}},"used_operators":["Z57zeUYC9z","AzXXKTstlj","bF6eod5Gvf","kn8WO9XteQ","JDUIKTTSIa","lFBm8KRb8F","7j4O788W3g","DbCuESL50I","s3Fd5m9Dh2","jCPkEVoL5K"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","8w2t5hMYqp","9FxExcQeMw","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⋰*⋻765523","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=2487, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=440","layer":3},{"info":"number node, value=4818","layer":4},{"info":"number node, value=6810","layer":4},{"info":"compute binary expreesion, left_input=4818, right_input=6810, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-9475","layer":3},{"info":"compute binary expreesion, left_input=440, right_input=-9475, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=19798","layer":2},{"info":"number node, value=3216","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=1549, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1549","layer":3},{"info":"compute unary expreesion, input=1549, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-12800","layer":2},{"info":"compute binary expreesion, left_input=19798, right_input=-12800, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1251, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2031","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=1277, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=9872, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=38594","layer":2},{"info":"compute unary expreesion, input=38594, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-152636","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-152636, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=1222488","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1323⨭⪣⋰*⋻1961)→⨶⪴⋰*⋻3690⩣⫁∢⋰*⋻5131)∳⫺(⇜(⋰*⋻2464↺⋰*⋻1189))⨔≚≋(⋼∭⪍⋰*⋻831⇻⋧≁⋰*⋻A38⊬⨰(⋰*⋻1587⨔≚≋⋰*⋻A61))=⋰*⋻765523","reverse_text":"⋰*⋻765523=((⋰*⋻1323⨭⪣⋰*⋻1961)→⨶⪴⋰*⋻3690⩣⫁∢⋰*⋻5131)∳⫺(⇜(⋰*⋻2464↺⋰*⋻1189))⨔≚≋(⋼∭⪍⋰*⋻831⇻⋧≁⋰*⋻A38⊬⨰(⋰*⋻1587⨔≚≋⋰*⋻A61))","cot":[{"info":"⋰*⋻1323⨭⪣⋰*⋻1961=⋰*⋻370","layer":3},{"info":"⋰*⋻3690⩣⫁∢⋰*⋻5131=⋰*⋻-7134","layer":3},{"info":"⋰*⋻370→⨶⪴⋰*⋻-7134=⋰*⋻13969","layer":2},{"info":"⋰*⋻2464↺⋰*⋻1189=⋰*⋻1189","layer":3},{"info":"⇜⋰*⋻1189=⋰*⋻-9687","layer":2},{"info":"⋰*⋻13969∳⫺⋰*⋻-9687=⋰*⋻-217","layer":1},{"info":"⋰*⋻831⇻⋧≁⋰*⋻A38=⋰*⋻-377","layer":3},{"info":"⋰*⋻1587⨔≚≋⋰*⋻A61=⋰*⋻7465","layer":3},{"info":"⋰*⋻-377⊬⨰⋰*⋻7465=⋰*⋻26AA6","layer":2},{"info":"⋼∭⪍⋰*⋻26AA6=⋰*⋻-A4750","layer":1},{"info":"⋰*⋻-217⨔≚≋⋰*⋻-A4750=⋰*⋻765523","layer":0}]}
{"id":130,"expression_no_base_symbol":"↸⊣((⩰$1241$)⪪($3300$⫩⊇)⪑⩈)","expression":"↸⊣((⩰⋰*⋻A29)⪪(⋰*⋻2530⫩⊇)⪑⩈)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":31568,"operation_count":5,"complexity_ratio":6313.6,"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":1241,"base":11}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3300,"base":11}}}}},"used_operators":["wztAlM01eG","C6VvDP6HwP","xD69zh8xqp","WkeUrDK8WX","BjRHVeLaeN"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-92A002","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2241","layer":3},{"info":"number node, value=3300","layer":4},{"info":"compute unary expreesion, input=3300, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3258","layer":3},{"info":"compute binary expreesion, left_input=-2241, right_input=-3258, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1492298","layer":2},{"info":"compute unary expreesion, input=-1492298, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=1492340","layer":1},{"info":"compute unary expreesion, input=1492340, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1492053","layer":0}],"base":11,"result_base":11,"text":"↸⊣((⩰⋰*⋻A29)⪪(⋰*⋻2530⫩⊇)⪑⩈)=⋰*⋻-92A002","reverse_text":"⋰*⋻-92A002=↸⊣((⩰⋰*⋻A29)⪪(⋰*⋻2530⫩⊇)⪑⩈)","cot":[{"info":"⩰⋰*⋻A29=⋰*⋻-1758","layer":3},{"info":"⋰*⋻2530⫩⊇=⋰*⋻-24A2","layer":3},{"info":"⋰*⋻-1758⪪⋰*⋻-24A2=⋰*⋻-92A205","layer":2},{"info":"⋰*⋻-92A205⪑⩈=⋰*⋻92A243","layer":1},{"info":"↸⊣⋰*⋻92A243=⋰*⋻-92A002","layer":0}]}
{"id":131,"expression_no_base_symbol":"((($1766$-$1189$)⊭↱$6641$⨸$6050$)⇆⨓≜)⫥∨⫟((($2456$⊦⊿)+(⇙⪊$6068$))⨘⋶⪀)","expression":"(((⋰*⋻1366-⋰*⋻991)⊭↱⋰*⋻4A98⨸⋰*⋻4600)⇆⨓≜)⫥∨⫟(((⋰*⋻1933⊦⊿)+(⇙⪊⋰*⋻4617))⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7165,"operation_count":9,"complexity_ratio":796.1111111111111,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1766,"base":11},"right_expr":{"type":"numeric_atoms","value":1189,"base":11}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":6641,"base":11},"right_expr":{"type":"numeric_atoms","value":6050,"base":11}}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2456,"base":11}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":6068,"base":11}}}}},"used_operators":["KYD54nUTWz","KvvgdUaMHJ","COABgblf1C","rysDP5nf3Z","KmoU8R5UQR","XVKwrhznBb","W4YGzv6Whe","14qkJME0vr","pB6Fcnrjim"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1766","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=1189, op_id = rysDP5nf3Z binary_op_definition= 'None', output=577","layer":3},{"info":"number node, value=6641","layer":4},{"info":"number node, value=6050","layer":4},{"info":"compute binary expreesion, left_input=6641, right_input=6050, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=13282","layer":3},{"info":"compute binary expreesion, left_input=577, right_input=13282, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=25415","layer":2},{"info":"compute unary expreesion, input=25415, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"number node, value=2456","layer":4},{"info":"compute unary expreesion, input=2456, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7447","layer":3},{"info":"number node, value=6068","layer":4},{"info":"compute unary expreesion, input=6068, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7447, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-7447","layer":2},{"info":"compute unary expreesion, input=-7447, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1366-⋰*⋻991)⊭↱⋰*⋻4A98⨸⋰*⋻4600)⇆⨓≜)⫥∨⫟(((⋰*⋻1933⊦⊿)+(⇙⪊⋰*⋻4617))⨘⋶⪀)=NaN","reverse_text":"NaN=(((⋰*⋻1366-⋰*⋻991)⊭↱⋰*⋻4A98⨸⋰*⋻4600)⇆⨓≜)⫥∨⫟(((⋰*⋻1933⊦⊿)+(⇙⪊⋰*⋻4617))⨘⋶⪀)","cot":[{"info":"⋰*⋻1366-⋰*⋻991=⋰*⋻485","layer":3},{"info":"⋰*⋻4A98⨸⋰*⋻4600=⋰*⋻9A85","layer":3},{"info":"⋰*⋻485⊭↱⋰*⋻9A85=⋰*⋻18105","layer":2},{"info":"⋰*⋻18105⇆⨓≜=NaN","layer":1},{"info":"⋰*⋻1933⊦⊿=⋰*⋻-5660","layer":3},{"info":"⇙⪊⋰*⋻4617=⋰*⋻0","layer":3},{"info":"⋰*⋻-5660+⋰*⋻0=⋰*⋻-5660","layer":2},{"info":"⋰*⋻-5660⨘⋶⪀=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":132,"expression_no_base_symbol":"↔((⊥($3870$↓⨍⋜))⊫∞)","expression":"↔((⊥(⋰*⋻29A9↓⨍⋜))⊫∞)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":23419,"operation_count":4,"complexity_ratio":5854.75,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":3870,"base":11}}}}},"used_operators":["ruOEQAzv1W","pABnYW3G3E","Q3PJZHRvZv","3DVzLFNsE9"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","fu6greOZ01","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3870","layer":4},{"info":"compute unary expreesion, input=3870, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute unary expreesion, input=6590, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=nan","layer":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":11,"result_base":11,"text":"↔((⊥(⋰*⋻29A9↓⨍⋜))⊫∞)=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔((⊥(⋰*⋻29A9↓⨍⋜))⊫∞)","cot":[{"info":"⋰*⋻29A9↓⨍⋜=⋰*⋻4A51","layer":3},{"info":"⊥⋰*⋻4A51=NaN","layer":2},{"info":"NaN⊫∞=NaN","layer":1},{"info":"↔NaN=⋰*⋻-112","layer":0}]}
{"id":133,"expression_no_base_symbol":"((⨈⫕$2062$⊲⩕⊾$2437$)⋥≓≎($2652$⊊)⫒⫫$1275$⋕⪉⪜$2395$)⪚(($1396$∐⫣)⊉↱≁($5522$↸$6729$)≣⋋)","expression":"((⨈⫕⋰*⋻1605⊲⩕⊾⋰*⋻1916)⋥≓≎(⋰*⋻1AA1⊊)⫒⫫⋰*⋻A5A⋕⪉⪜⋰*⋻1888)⪚((⋰*⋻105A∐⫣)⊉↱≁(⋰*⋻4170↸⋰*⋻5068)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6771,"operation_count":11,"complexity_ratio":615.5454545454545,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2062,"base":11},"right_expr":{"type":"numeric_atoms","value":2437,"base":11}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":2652,"base":11}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1275,"base":11},"right_expr":{"type":"numeric_atoms","value":2395,"base":11}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1396,"base":11}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5522,"base":11},"right_expr":{"type":"numeric_atoms","value":6729,"base":11}}}}},"used_operators":["HrjLwUk87U","Qy55tPpLXF","megm06wKyl","DmTXOeWf9t","6Ko8hGgeMq","W9R8I5fN5A","z6LnFrNh4i","Tcnh7f0tEr","w2P8NbNXyL","4CyGpkTkEk","1eCjFl0mb9"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2062","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=2062, right_input=2437, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-53992","layer":3},{"info":"compute unary expreesion, input=-53992, 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=2652","layer":4},{"info":"compute unary expreesion, input=2652, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"number node, value=1275","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=2395, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=204, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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=1396","layer":4},{"info":"compute unary expreesion, input=1396, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=5522","layer":4},{"info":"number node, value=6729","layer":4},{"info":"compute binary expreesion, left_input=5522, right_input=6729, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5522","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=5522, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-28736","layer":2},{"info":"compute unary expreesion, input=-28736, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨈⫕⋰*⋻1605⊲⩕⊾⋰*⋻1916)⋥≓≎(⋰*⋻1AA1⊊)⫒⫫⋰*⋻A5A⋕⪉⪜⋰*⋻1888)⪚((⋰*⋻105A∐⫣)⊉↱≁(⋰*⋻4170↸⋰*⋻5068)≣⋋)=NaN","reverse_text":"NaN=((⨈⫕⋰*⋻1605⊲⩕⊾⋰*⋻1916)⋥≓≎(⋰*⋻1AA1⊊)⫒⫫⋰*⋻A5A⋕⪉⪜⋰*⋻1888)⪚((⋰*⋻105A∐⫣)⊉↱≁(⋰*⋻4170↸⋰*⋻5068)≣⋋)","cot":[{"info":"⋰*⋻1605⊲⩕⊾⋰*⋻1916=⋰*⋻-37624","layer":3},{"info":"⨈⫕⋰*⋻-37624=⋰*⋻-1A","layer":2},{"info":"⋰*⋻1AA1⊊=⋰*⋻62351","layer":3},{"info":"⋰*⋻A5A⋕⪉⪜⋰*⋻1888=⋰*⋻176","layer":3},{"info":"⋰*⋻62351⫒⫫⋰*⋻176=NaN","layer":2},{"info":"⋰*⋻-1A⋥≓≎NaN=NaN","layer":1},{"info":"⋰*⋻105A∐⫣=⋰*⋻461","layer":3},{"info":"⋰*⋻4170↸⋰*⋻5068=⋰*⋻4170","layer":3},{"info":"⋰*⋻461⊉↱≁⋰*⋻4170=⋰*⋻-1A654","layer":2},{"info":"⋰*⋻-1A654≣⋋=⋰*⋻0","layer":1},{"info":"NaN⪚⋰*⋻0=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"($1783$↳≱$2544$≒∊($4619$⫚↹⊑$1319$)⪁(∨∊⋏($1603$⨪↰⇹$2160$)))⨪↰⇹((($5373$∙∹∝$2127$)⩠)⩘)","expression":"(⋰*⋻1381↳≱⋰*⋻1A03≒∊(⋰*⋻351A⫚↹⊑⋰*⋻A9A)⪁(∨∊⋏(⋰*⋻1228⨪↰⇹⋰*⋻1694)))⨪↰⇹(((⋰*⋻4045∙∹∝⋰*⋻1664)⩠)⩘)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27646,"operation_count":10,"complexity_ratio":2764.6,"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":1783,"base":11},"right_expr":{"type":"numeric_atoms","value":2544,"base":11}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4619,"base":11},"right_expr":{"type":"numeric_atoms","value":1319,"base":11}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1603,"base":11},"right_expr":{"type":"numeric_atoms","value":2160,"base":11}}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5373,"base":11},"right_expr":{"type":"numeric_atoms","value":2127,"base":11}}}}},"used_operators":["tmPS8pqC7x","I7sXao9hZE","5KTvxBwnZo","JwTKLfZU96","dfKe02y8D2","R5aXW34M0v","wvHyciQT5X","sJAwomhLZr","HmxsFra2vL"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","9ICcGScMcE","dfKe02y8D2","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1783","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=2544, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=4619","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=4619, right_input=1319, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":2},{"info":"number node, value=1603","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=2160, 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=1603","layer":3},{"info":"compute unary expreesion, input=1603, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=25271","layer":2},{"info":"compute binary expreesion, left_input=484, right_input=25271, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=5373","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=5373, right_input=2127, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1381↳≱⋰*⋻1A03≒∊(⋰*⋻351A⫚↹⊑⋰*⋻A9A)⪁(∨∊⋏(⋰*⋻1228⨪↰⇹⋰*⋻1694)))⨪↰⇹(((⋰*⋻4045∙∹∝⋰*⋻1664)⩠)⩘)=NaN","reverse_text":"NaN=(⋰*⋻1381↳≱⋰*⋻1A03≒∊(⋰*⋻351A⫚↹⊑⋰*⋻A9A)⪁(∨∊⋏(⋰*⋻1228⨪↰⇹⋰*⋻1694)))⨪↰⇹(((⋰*⋻4045∙∹∝⋰*⋻1664)⩠)⩘)","cot":[{"info":"⋰*⋻1381↳≱⋰*⋻1A03=⋰*⋻0","layer":3},{"info":"⋰*⋻351A⫚↹⊑⋰*⋻A9A=⋰*⋻-377","layer":3},{"info":"⋰*⋻0≒∊⋰*⋻-377=⋰*⋻400","layer":2},{"info":"⋰*⋻1228⨪↰⇹⋰*⋻1694=⋰*⋻1228","layer":3},{"info":"∨∊⋏⋰*⋻1228=⋰*⋻17A94","layer":2},{"info":"⋰*⋻400⪁⋰*⋻17A94=NaN","layer":1},{"info":"⋰*⋻4045∙∹∝⋰*⋻1664=⋰*⋻0","layer":3},{"info":"⋰*⋻0⩠=NaN","layer":2},{"info":"NaN⩘=⋰*⋻61","layer":1},{"info":"NaN⨪↰⇹⋰*⋻61=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"($1381$⪚$1967$∕⩚$2287$⇴$3724$⫚↹⊑(↣≠⋷($2225$⪄$1018$)))⊝⪿⪼($1982$∥⊢⊲$3621$⩒⫫(⩎⋉$1532$))⋥⋵⩄(⪲⇎($2529$⩘⨬⇊))","expression":"(⋰*⋻1046⪚⋰*⋻1529∕⩚⋰*⋻179A⇴⋰*⋻2886⫚↹⊑(↣≠⋷(⋰*⋻1743⪄⋰*⋻846)))⊝⪿⪼(⋰*⋻1542∥⊢⊲⋰*⋻27A2⩒⫫(⩎⋉⋰*⋻1173))⋥⋵⩄(⪲⇎(⋰*⋻199A⩘⨬⇊))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5041,"operation_count":13,"complexity_ratio":387.7692307692308,"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":1381,"base":11},"right_expr":{"type":"numeric_atoms","value":1967,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2287,"base":11},"right_expr":{"type":"numeric_atoms","value":3724,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2225,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1982,"base":11},"right_expr":{"type":"numeric_atoms","value":3621,"base":11}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1532,"base":11}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":2529,"base":11}}}}},"used_operators":["3Oe9XWJUTD","dfKe02y8D2","z9ffQ9n5Zr","HrjLwUk87U","4JB6nKBMSY","Asc51vEJeQ","SUmda5xLS4","7t3wd0Fuz7","KFSx94NKJn","v1UQAVDJRr","FlXk3pOYe8","XPYlsWDdGa","XXmTpEpWTW"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","sdazOOVcIp","NTOWxs364D","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"⋰*⋻2474","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1381","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=1967, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1528","layer":3},{"info":"number node, value=2287","layer":4},{"info":"number node, value=3724","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=3724, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20784","layer":3},{"info":"compute binary expreesion, left_input=-1528, right_input=20784, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=1525","layer":2},{"info":"number node, value=2225","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=1018, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-329461","layer":3},{"info":"compute unary expreesion, input=-329461, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1525, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1982","layer":4},{"info":"number node, value=3621","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=3621, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1532","layer":4},{"info":"compute unary expreesion, input=1532, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=2529","layer":4},{"info":"compute unary expreesion, input=2529, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', 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 binary expreesion, left_input=nan, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=3227","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1046⪚⋰*⋻1529∕⩚⋰*⋻179A⇴⋰*⋻2886⫚↹⊑(↣≠⋷(⋰*⋻1743⪄⋰*⋻846)))⊝⪿⪼(⋰*⋻1542∥⊢⊲⋰*⋻27A2⩒⫫(⩎⋉⋰*⋻1173))⋥⋵⩄(⪲⇎(⋰*⋻199A⩘⨬⇊))=⋰*⋻2474","reverse_text":"⋰*⋻2474=(⋰*⋻1046⪚⋰*⋻1529∕⩚⋰*⋻179A⇴⋰*⋻2886⫚↹⊑(↣≠⋷(⋰*⋻1743⪄⋰*⋻846)))⊝⪿⪼(⋰*⋻1542∥⊢⊲⋰*⋻27A2⩒⫫(⩎⋉⋰*⋻1173))⋥⋵⩄(⪲⇎(⋰*⋻199A⩘⨬⇊))","cot":[{"info":"⋰*⋻1046⪚⋰*⋻1529=⋰*⋻-116A","layer":3},{"info":"⋰*⋻179A⇴⋰*⋻2886=⋰*⋻14685","layer":3},{"info":"⋰*⋻-116A∕⩚⋰*⋻14685=⋰*⋻1167","layer":2},{"info":"⋰*⋻1743⪄⋰*⋻846=⋰*⋻-205590","layer":3},{"info":"↣≠⋷⋰*⋻-205590=NaN","layer":2},{"info":"⋰*⋻1167⫚↹⊑NaN=⋰*⋻-377","layer":1},{"info":"⋰*⋻1542∥⊢⊲⋰*⋻27A2=NaN","layer":3},{"info":"⩎⋉⋰*⋻1173=⋰*⋻1270","layer":3},{"info":"NaN⩒⫫⋰*⋻1270=NaN","layer":2},{"info":"⋰*⋻199A⩘⨬⇊=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"NaN⋥⋵⩄NaN=NaN","layer":1},{"info":"⋰*⋻-377⊝⪿⪼NaN=⋰*⋻2474","layer":0}]}
{"id":136,"expression_no_base_symbol":"(⇋⊎⋝($1297$⩖⊿$2113$))⊬⨰(($3252$⫩⊇)⩇∃⫛$1066$∌$1740$)⩺⪪(∥⊫$1834$⪬$1236$)⪍↜⋙(($6162$⩏)⨒(∟⋨$1010$))","expression":"(⇋⊎⋝(⋰*⋻A7A⩖⊿⋰*⋻1651))⊬⨰((⋰*⋻2497⫩⊇)⩇∃⫛⋰*⋻88A∌⋰*⋻1342)⩺⪪(∥⊫⋰*⋻1418⪬⋰*⋻A24)⪍↜⋙((⋰*⋻46A2⩏)⨒(∟⋨⋰*⋻839))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13969,"operation_count":13,"complexity_ratio":1074.5384615384614,"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":1297,"base":11},"right_expr":{"type":"numeric_atoms","value":2113,"base":11}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3252,"base":11}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1066,"base":11},"right_expr":{"type":"numeric_atoms","value":1740,"base":11}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1834,"base":11},"right_expr":{"type":"numeric_atoms","value":1236,"base":11}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":6162,"base":11}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1010,"base":11}}}}},"used_operators":["uvdQJvN4PV","s3Fd5m9Dh2","CzM2PEoXns","RZ5CV9rWsJ","1aApVXNlOP","BjRHVeLaeN","8cLx32lpNA","L05ObWFQCd","P8v4zCKN1o","Ez1Nq5fNfI","y75s1iXyHd","iA2gmKZ3Wj","ctOc4cKSDt"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","dWAJyo7jo9","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","z6LnFrNh4i","Tcnh7f0tEr","eLAdDNolq6","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=2113, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=11634","layer":3},{"info":"compute unary expreesion, input=11634, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=3252","layer":4},{"info":"compute unary expreesion, input=3252, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3210","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1740, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1740","layer":3},{"info":"compute binary expreesion, left_input=-3210, right_input=-1740, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-3210","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3210, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"number node, value=1834","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=1236, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2102","layer":2},{"info":"number node, value=6162","layer":4},{"info":"compute unary expreesion, input=6162, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-526, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=2102, right_input=1, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4202","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4202, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇋⊎⋝(⋰*⋻A7A⩖⊿⋰*⋻1651))⊬⨰((⋰*⋻2497⫩⊇)⩇∃⫛⋰*⋻88A∌⋰*⋻1342)⩺⪪(∥⊫⋰*⋻1418⪬⋰*⋻A24)⪍↜⋙((⋰*⋻46A2⩏)⨒(∟⋨⋰*⋻839))=NaN","reverse_text":"NaN=(⇋⊎⋝(⋰*⋻A7A⩖⊿⋰*⋻1651))⊬⨰((⋰*⋻2497⫩⊇)⩇∃⫛⋰*⋻88A∌⋰*⋻1342)⩺⪪(∥⊫⋰*⋻1418⪬⋰*⋻A24)⪍↜⋙((⋰*⋻46A2⩏)⨒(∟⋨⋰*⋻839))","cot":[{"info":"⋰*⋻A7A⩖⊿⋰*⋻1651=⋰*⋻8817","layer":3},{"info":"⇋⊎⋝⋰*⋻8817=NaN","layer":2},{"info":"⋰*⋻2497⫩⊇=⋰*⋻-2459","layer":3},{"info":"⋰*⋻88A∌⋰*⋻1342=⋰*⋻-1342","layer":3},{"info":"⋰*⋻-2459⩇∃⫛⋰*⋻-1342=⋰*⋻-2459","layer":2},{"info":"NaN⊬⨰⋰*⋻-2459=NaN","layer":1},{"info":"⋰*⋻1418⪬⋰*⋻A24=⋰*⋻A22","layer":3},{"info":"∥⊫⋰*⋻A22=⋰*⋻1641","layer":2},{"info":"⋰*⋻46A2⩏=⋰*⋻0","layer":3},{"info":"∟⋨⋰*⋻839=⋰*⋻-439","layer":3},{"info":"⋰*⋻0⨒⋰*⋻-439=⋰*⋻1","layer":2},{"info":"⋰*⋻1641⪍↜⋙⋰*⋻1=⋰*⋻3180","layer":1},{"info":"NaN⩺⪪⋰*⋻3180=NaN","layer":0}]}
{"id":137,"expression_no_base_symbol":"↥≼⋛(≇⪴($1813$∥⊢⊲$1112$)⫣⪄⊒($8115$⫯⪬∳$3267$))","expression":"↥≼⋛(≇⪴(⋰*⋻13A9∥⊢⊲⋰*⋻921)⫣⪄⊒(⋰*⋻6108⫯⪬∳⋰*⋻2500))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":64,"operation_count":5,"complexity_ratio":12.8,"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":1813,"base":11},"right_expr":{"type":"numeric_atoms","value":1112,"base":11}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":8115,"base":11},"right_expr":{"type":"numeric_atoms","value":3267,"base":11}}}}},"used_operators":["x5lMkHmzsq","zoVPnxeHJ3","RabNbG55vr","v1UQAVDJRr","d7ASUq0ydm"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","EBcxylXtPf","rGHVDoGpnC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⋰*⋻-A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1813","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=1112, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=8115","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=8115, right_input=3267, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=37341","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=37341, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":11,"result_base":11,"text":"↥≼⋛(≇⪴(⋰*⋻13A9∥⊢⊲⋰*⋻921)⫣⪄⊒(⋰*⋻6108⫯⪬∳⋰*⋻2500))=⋰*⋻-A3","reverse_text":"⋰*⋻-A3=↥≼⋛(≇⪴(⋰*⋻13A9∥⊢⊲⋰*⋻921)⫣⪄⊒(⋰*⋻6108⫯⪬∳⋰*⋻2500))","cot":[{"info":"⋰*⋻13A9∥⊢⊲⋰*⋻921=NaN","layer":3},{"info":"⋰*⋻6108⫯⪬∳⋰*⋻2500=⋰*⋻26067","layer":3},{"info":"NaN⫣⪄⊒⋰*⋻26067=NaN","layer":2},{"info":"≇⪴NaN=NaN","layer":1},{"info":"↥≼⋛NaN=⋰*⋻-A3","layer":0}]}
{"id":138,"expression_no_base_symbol":"(($1351$⪭$1244$⊭∹↮)⊢(($3338$≭$1913$)↠))⇂≾⫗(($4472$⊅)↳≱($6982$⊱⇼⊻$1073$)+⪬∐(($2241$⩺⪪$1888$)→⨶⪴$1534$⋕⪉⪜$1141$))","expression":"((⋰*⋻1019⪭⋰*⋻A31⊭∹↮)⊢((⋰*⋻2565≭⋰*⋻148A)↠))⇂≾⫗((⋰*⋻33A6⊅)↳≱(⋰*⋻5278⊱⇼⊻⋰*⋻896)+⪬∐((⋰*⋻1758⩺⪪⋰*⋻1467)→⨶⪴⋰*⋻1175⋕⪉⪜⋰*⋻948))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":487,"operation_count":13,"complexity_ratio":37.46153846153846,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1351,"base":11},"right_expr":{"type":"numeric_atoms","value":1244,"base":11}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3338,"base":11},"right_expr":{"type":"numeric_atoms","value":1913,"base":11}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":4472,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":6982,"base":11},"right_expr":{"type":"numeric_atoms","value":1073,"base":11}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2241,"base":11},"right_expr":{"type":"numeric_atoms","value":1888,"base":11}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1534,"base":11},"right_expr":{"type":"numeric_atoms","value":1141,"base":11}}}}},"used_operators":["aBQ6xLxuTc","5twsqlHp2o","xNBdhnnwKq","j9kHMeSvPp","LBdsKIvxzf","rxpJgHHUmx","2GS7woTJqF","JwTKLfZU96","7p6YLioM7f","FyVja0WsTP","bF6eod5Gvf","uvdQJvN4PV","z6LnFrNh4i"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","COABgblf1C","xUOZtlo3hN","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","AHs5Up7iyr","g55IO6H4Gj","D4vGDi5EA2","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","8w2t5hMYqp","9FxExcQeMw","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⋰*⋻-592","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1244, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5","layer":2},{"info":"number node, value=3338","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=3338, right_input=1913, 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 = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=-447, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-254","layer":1},{"info":"number node, value=4472","layer":4},{"info":"compute unary expreesion, input=4472, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=6982","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=6982, right_input=1073, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=434, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=2241","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=1888, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-6546","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=1141, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-6546, right_input=2802, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8406","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8406, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-254, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-706","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1019⪭⋰*⋻A31⊭∹↮)⊢((⋰*⋻2565≭⋰*⋻148A)↠))⇂≾⫗((⋰*⋻33A6⊅)↳≱(⋰*⋻5278⊱⇼⊻⋰*⋻896)+⪬∐((⋰*⋻1758⩺⪪⋰*⋻1467)→⨶⪴⋰*⋻1175⋕⪉⪜⋰*⋻948))=⋰*⋻-592","reverse_text":"⋰*⋻-592=((⋰*⋻1019⪭⋰*⋻A31⊭∹↮)⊢((⋰*⋻2565≭⋰*⋻148A)↠))⇂≾⫗((⋰*⋻33A6⊅)↳≱(⋰*⋻5278⊱⇼⊻⋰*⋻896)+⪬∐((⋰*⋻1758⩺⪪⋰*⋻1467)→⨶⪴⋰*⋻1175⋕⪉⪜⋰*⋻948))","cot":[{"info":"⋰*⋻1019⪭⋰*⋻A31=⋰*⋻5","layer":3},{"info":"⋰*⋻5⊭∹↮=⋰*⋻5","layer":2},{"info":"⋰*⋻2565≭⋰*⋻148A=NaN","layer":3},{"info":"NaN↠=⋰*⋻-377","layer":2},{"info":"⋰*⋻5⊢⋰*⋻-377=⋰*⋻-211","layer":1},{"info":"⋰*⋻33A6⊅=⋰*⋻-149","layer":3},{"info":"⋰*⋻5278⊱⇼⊻⋰*⋻896=⋰*⋻365","layer":3},{"info":"⋰*⋻-149↳≱⋰*⋻365=⋰*⋻0","layer":2},{"info":"⋰*⋻1758⩺⪪⋰*⋻1467=⋰*⋻-4A11","layer":3},{"info":"⋰*⋻1175⋕⪉⪜⋰*⋻948=⋰*⋻2118","layer":3},{"info":"⋰*⋻-4A11→⨶⪴⋰*⋻2118=⋰*⋻-6352","layer":2},{"info":"⋰*⋻0+⪬∐⋰*⋻-6352=⋰*⋻0","layer":1},{"info":"⋰*⋻-211⇂≾⫗⋰*⋻0=⋰*⋻-592","layer":0}]}
{"id":139,"expression_no_base_symbol":"(≉(($5267$⨴∎)⋹))→⨶⪴((($2729$⫔⩽⩺$4035$)⫰⋱($6865$⪥⨬⪅))≀⫉(→⩰$1872$)↤⩊(≋$5486$))","expression":"(≉((⋰*⋻3A59⨴∎)⋹))→⨶⪴(((⋰*⋻2061⫔⩽⩺⋰*⋻3039)⫰⋱(⋰*⋻5181⪥⨬⪅))≀⫉(→⩰⋰*⋻1452)↤⩊(≋⋰*⋻4138))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8040,"operation_count":11,"complexity_ratio":730.9090909090909,"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":5267,"base":11}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2729,"base":11},"right_expr":{"type":"numeric_atoms","value":4035,"base":11}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":6865,"base":11}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1872,"base":11}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":5486,"base":11}}}}},"used_operators":["bF6eod5Gvf","e1ybzncUwg","opAxDRczMr","CpSg5vQTgA","oZj3VtZNQx","6o9Blt3TJ6","i9eR4S00cU","zNRQejTB5A","13rbtpv6ld","o8Pngz0Tml","61wBmkZwlr"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Tw270M8GLb","fu6greOZ01","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5267","layer":4},{"info":"compute unary expreesion, input=5267, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰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=2729","layer":4},{"info":"number node, value=4035","layer":4},{"info":"compute binary expreesion, left_input=2729, right_input=4035, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=6865","layer":4},{"info":"compute unary expreesion, input=6865, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=5486","layer":4},{"info":"compute unary expreesion, input=5486, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=5486","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5486, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≉((⋰*⋻3A59⨴∎)⋹))→⨶⪴(((⋰*⋻2061⫔⩽⩺⋰*⋻3039)⫰⋱(⋰*⋻5181⪥⨬⪅))≀⫉(→⩰⋰*⋻1452)↤⩊(≋⋰*⋻4138))=NaN","reverse_text":"NaN=(≉((⋰*⋻3A59⨴∎)⋹))→⨶⪴(((⋰*⋻2061⫔⩽⩺⋰*⋻3039)⫰⋱(⋰*⋻5181⪥⨬⪅))≀⫉(→⩰⋰*⋻1452)↤⩊(≋⋰*⋻4138))","cot":[{"info":"⋰*⋻3A59⨴∎=NaN","layer":3},{"info":"NaN⋹=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⋰*⋻2061⫔⩽⩺⋰*⋻3039=NaN","layer":3},{"info":"⋰*⋻5181⪥⨬⪅=⋰*⋻-3A0","layer":3},{"info":"NaN⫰⋱⋰*⋻-3A0=NaN","layer":2},{"info":"→⩰⋰*⋻1452=NaN","layer":3},{"info":"≋⋰*⋻4138=⋰*⋻4138","layer":3},{"info":"NaN↤⩊⋰*⋻4138=NaN","layer":2},{"info":"NaN≀⫉NaN=NaN","layer":1},{"info":"NaN→⨶⪴NaN=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"(≅≯⇸(≻⋜($3633$⨪↰⇹$2005$)))∺≝⩲(((⇉-⫰$8291$)⊉≛↸(↩⪖$1385$))⇄(⪡⇡≛$1010$)⪬($2115$⊋≦⊧$3454$))","expression":"(≅≯⇸(≻⋜(⋰*⋻2803⨪↰⇹⋰*⋻1563)))∺≝⩲(((⇉-⫰⋰*⋻6258)⊉≛↸(↩⪖⋰*⋻104A))⇄(⪡⇡≛⋰*⋻839)⪬(⋰*⋻1653⊋≦⊧⋰*⋻2660))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24357,"operation_count":11,"complexity_ratio":2214.2727272727275,"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":3633,"base":11},"right_expr":{"type":"numeric_atoms","value":2005,"base":11}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":8291,"base":11}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1385,"base":11}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1010,"base":11}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2115,"base":11},"right_expr":{"type":"numeric_atoms","value":3454,"base":11}}}}},"used_operators":["KPf6cnQVty","apS25hmuAe","3tj9sqzovi","tmPS8pqC7x","3EYGwJThht","DZ8iAZOCBD","IGFM8TAlm9","fG6uBQFnGz","Ez1Nq5fNfI","qL4PrbW1Dq","oRDoc9rAEX"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","QMFrweE19q","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3633","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=2005, 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=3633","layer":3},{"info":"compute unary expreesion, input=3633, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":1},{"info":"number node, value=8291","layer":4},{"info":"compute unary expreesion, input=8291, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=1385","layer":4},{"info":"compute unary expreesion, input=1385, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-11292","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-11292, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=40","layer":2},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1010","layer":3},{"info":"number node, value=2115","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=3454, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-5329","layer":3},{"info":"compute binary expreesion, left_input=-1010, right_input=-5329, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=40, right_input=1234, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-750","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-750, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":11,"result_base":11,"text":"(≅≯⇸(≻⋜(⋰*⋻2803⨪↰⇹⋰*⋻1563)))∺≝⩲(((⇉-⫰⋰*⋻6258)⊉≛↸(↩⪖⋰*⋻104A))⇄(⪡⇡≛⋰*⋻839)⪬(⋰*⋻1653⊋≦⊧⋰*⋻2660))=⋰*⋻136","reverse_text":"⋰*⋻136=(≅≯⇸(≻⋜(⋰*⋻2803⨪↰⇹⋰*⋻1563)))∺≝⩲(((⇉-⫰⋰*⋻6258)⊉≛↸(↩⪖⋰*⋻104A))⇄(⪡⇡≛⋰*⋻839)⪬(⋰*⋻1653⊋≦⊧⋰*⋻2660))","cot":[{"info":"⋰*⋻2803⨪↰⇹⋰*⋻1563=⋰*⋻2803","layer":3},{"info":"≻⋜⋰*⋻2803=NaN","layer":2},{"info":"≅≯⇸NaN=NaN","layer":1},{"info":"⇉-⫰⋰*⋻6258=⋰*⋻19","layer":3},{"info":"↩⪖⋰*⋻104A=⋰*⋻-8536","layer":3},{"info":"⋰*⋻19⊉≛↸⋰*⋻-8536=⋰*⋻37","layer":2},{"info":"⪡⇡≛⋰*⋻839=⋰*⋻-839","layer":3},{"info":"⋰*⋻1653⊋≦⊧⋰*⋻2660=⋰*⋻-4005","layer":3},{"info":"⋰*⋻-839⪬⋰*⋻-4005=⋰*⋻A22","layer":2},{"info":"⋰*⋻37⇄⋰*⋻A22=⋰*⋻-622","layer":1},{"info":"NaN∺≝⩲⋰*⋻-622=⋰*⋻136","layer":0}]}
{"id":141,"expression_no_base_symbol":"(($2358$⊉↱≁$4950$)↤⩊($3360$≒∊$2580$)⫔⩽⩺(⪲⇎$1800$⪪$1809$))⪚(($1144$↼⊘⨖$4354$⨵⪆(≯$2755$))⪄(($5647$⨳⩥⨓$3176$)⨎⋸⪻))","expression":"((⋰*⋻1854⊉↱≁⋰*⋻37A0)↤⩊(⋰*⋻2585≒∊⋰*⋻1A36)⫔⩽⩺(⪲⇎⋰*⋻1397⪪⋰*⋻13A5))⪚((⋰*⋻950↼⊘⨖⋰*⋻32A9⨵⪆(≯⋰*⋻2085))⪄((⋰*⋻4274⨳⩥⨓⋰*⋻2428)⨎⋸⪻))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5912,"operation_count":13,"complexity_ratio":454.7692307692308,"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":2358,"base":11},"right_expr":{"type":"numeric_atoms","value":4950,"base":11}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3360,"base":11},"right_expr":{"type":"numeric_atoms","value":2580,"base":11}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1800,"base":11},"right_expr":{"type":"numeric_atoms","value":1809,"base":11}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1144,"base":11},"right_expr":{"type":"numeric_atoms","value":4354,"base":11}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2755,"base":11}}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5647,"base":11},"right_expr":{"type":"numeric_atoms","value":3176,"base":11}}}}},"used_operators":["HrjLwUk87U","i9eR4S00cU","13rbtpv6ld","w2P8NbNXyL","5KTvxBwnZo","XPYlsWDdGa","xD69zh8xqp","SUmda5xLS4","2DQ55sFlQl","bPywburJMS","keWfFq85dY","Dk5vyLCiGd","nCS4ZIUYfx"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Tw270M8GLb","fu6greOZ01","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","JLbD19bQDL","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2358","layer":4},{"info":"number node, value=4950","layer":4},{"info":"compute binary expreesion, left_input=2358, right_input=4950, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-7234","layer":3},{"info":"number node, value=3360","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=2580, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2876","layer":3},{"info":"compute binary expreesion, left_input=-7234, right_input=-2876, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1800","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=1809, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-267889","layer":3},{"info":"compute unary expreesion, input=-267889, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-535778","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-535778, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1144","layer":4},{"info":"number node, value=4354","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=4354, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8486","layer":3},{"info":"number node, value=2755","layer":4},{"info":"compute unary expreesion, input=2755, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8486, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5647","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=5647, right_input=3176, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2471","layer":3},{"info":"compute unary expreesion, input=-2471, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-4626","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-4626, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1265","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1265, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1854⊉↱≁⋰*⋻37A0)↤⩊(⋰*⋻2585≒∊⋰*⋻1A36)⫔⩽⩺(⪲⇎⋰*⋻1397⪪⋰*⋻13A5))⪚((⋰*⋻950↼⊘⨖⋰*⋻32A9⨵⪆(≯⋰*⋻2085))⪄((⋰*⋻4274⨳⩥⨓⋰*⋻2428)⨎⋸⪻))=NaN","reverse_text":"NaN=((⋰*⋻1854⊉↱≁⋰*⋻37A0)↤⩊(⋰*⋻2585≒∊⋰*⋻1A36)⫔⩽⩺(⪲⇎⋰*⋻1397⪪⋰*⋻13A5))⪚((⋰*⋻950↼⊘⨖⋰*⋻32A9⨵⪆(≯⋰*⋻2085))⪄((⋰*⋻4274⨳⩥⨓⋰*⋻2428)⨎⋸⪻))","cot":[{"info":"⋰*⋻1854⊉↱≁⋰*⋻37A0=⋰*⋻-5487","layer":3},{"info":"⋰*⋻2585≒∊⋰*⋻1A36=⋰*⋻-2185","layer":3},{"info":"⋰*⋻-5487↤⩊⋰*⋻-2185=NaN","layer":2},{"info":"⋰*⋻1397⪪⋰*⋻13A5=⋰*⋻-1732A6","layer":3},{"info":"⪲⇎⋰*⋻-1732A6=⋰*⋻-3365A1","layer":2},{"info":"NaN⫔⩽⩺⋰*⋻-3365A1=NaN","layer":1},{"info":"⋰*⋻950↼⊘⨖⋰*⋻32A9=⋰*⋻6415","layer":3},{"info":"≯⋰*⋻2085=⋰*⋻0","layer":3},{"info":"⋰*⋻6415⨵⪆⋰*⋻0=⋰*⋻136","layer":2},{"info":"⋰*⋻4274⨳⩥⨓⋰*⋻2428=⋰*⋻-1947","layer":3},{"info":"⋰*⋻-1947⨎⋸⪻=⋰*⋻-3526","layer":2},{"info":"⋰*⋻136⪄⋰*⋻-3526=⋰*⋻-A50","layer":1},{"info":"NaN⪚⋰*⋻-A50=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"(⇾⩊⇾$3343$≌$3333$)⨐($2780$⫁$1078$∕⩚$4527$⇌⫙⪟$2910$)∙∹∝($1369$≓∲$6031$⊾⪯⋞$9236$≦↸$1154$)↡⊰⫅(⩩($2481$⋣⋖$4301$))","expression":"(⇾⩊⇾⋰*⋻256A≌⋰*⋻2560)⨐(⋰*⋻20A8⫁⋰*⋻8A0∕⩚⋰*⋻3446⇌⫙⪟⋰*⋻2206)∙∹∝(⋰*⋻1035≓∲⋰*⋻4593⊾⪯⋞⋰*⋻6A37≦↸⋰*⋻95A)↡⊰⫅(⩩(⋰*⋻1956⋣⋖⋰*⋻3260))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7173,"operation_count":13,"complexity_ratio":551.7692307692307,"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":3343,"base":11},"right_expr":{"type":"numeric_atoms","value":3333,"base":11}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2780,"base":11},"right_expr":{"type":"numeric_atoms","value":1078,"base":11}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4527,"base":11},"right_expr":{"type":"numeric_atoms","value":2910,"base":11}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1369,"base":11},"right_expr":{"type":"numeric_atoms","value":6031,"base":11}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":9236,"base":11},"right_expr":{"type":"numeric_atoms","value":1154,"base":11}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2481,"base":11},"right_expr":{"type":"numeric_atoms","value":4301,"base":11}}}}},"used_operators":["HmxsFra2vL","Noe24qw2ks","bx9Z9DAK5y","lyWz822IDG","z9ffQ9n5Zr","0ajvFaJAv0","AFVx7xoS7T","VCtxkLNOzz","HK0tfVPux8","s1XTVnmDOJ","RygbFNSyEJ","kMhfGuqI2H","J0M6qkBnIM"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","cHh1gJQ2o6","AHs5Up7iyr","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3343","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=3333, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":2},{"info":"number node, value=2780","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1078, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=2910, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=113, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-487, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":1},{"info":"number node, value=1369","layer":4},{"info":"number node, value=6031","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=6031, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=14473","layer":3},{"info":"number node, value=9236","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=9236, right_input=1154, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-20099","layer":3},{"info":"compute binary expreesion, left_input=14473, right_input=-20099, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=2481","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=4301, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2481","layer":3},{"info":"compute unary expreesion, input=2481, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇾⩊⇾⋰*⋻256A≌⋰*⋻2560)⨐(⋰*⋻20A8⫁⋰*⋻8A0∕⩚⋰*⋻3446⇌⫙⪟⋰*⋻2206)∙∹∝(⋰*⋻1035≓∲⋰*⋻4593⊾⪯⋞⋰*⋻6A37≦↸⋰*⋻95A)↡⊰⫅(⩩(⋰*⋻1956⋣⋖⋰*⋻3260))=NaN","reverse_text":"NaN=(⇾⩊⇾⋰*⋻256A≌⋰*⋻2560)⨐(⋰*⋻20A8⫁⋰*⋻8A0∕⩚⋰*⋻3446⇌⫙⪟⋰*⋻2206)∙∹∝(⋰*⋻1035≓∲⋰*⋻4593⊾⪯⋞⋰*⋻6A37≦↸⋰*⋻95A)↡⊰⫅(⩩(⋰*⋻1956⋣⋖⋰*⋻3260))","cot":[{"info":"⋰*⋻256A≌⋰*⋻2560=NaN","layer":3},{"info":"⇾⩊⇾NaN=NaN","layer":2},{"info":"⋰*⋻20A8⫁⋰*⋻8A0=⋰*⋻136","layer":3},{"info":"⋰*⋻3446⇌⫙⪟⋰*⋻2206=⋰*⋻A3","layer":3},{"info":"⋰*⋻136∕⩚⋰*⋻A3=⋰*⋻-403","layer":2},{"info":"NaN⨐⋰*⋻-403=NaN","layer":1},{"info":"⋰*⋻1035≓∲⋰*⋻4593=⋰*⋻A968","layer":3},{"info":"⋰*⋻6A37≦↸⋰*⋻95A=⋰*⋻-14112","layer":3},{"info":"⋰*⋻A968⊾⪯⋞⋰*⋻-14112=⋰*⋻-686","layer":2},{"info":"⋰*⋻1956⋣⋖⋰*⋻3260=⋰*⋻1956","layer":3},{"info":"⩩⋰*⋻1956=NaN","layer":2},{"info":"⋰*⋻-686↡⊰⫅NaN=NaN","layer":1},{"info":"NaN∙∹∝NaN=NaN","layer":0}]}
{"id":143,"expression_no_base_symbol":"((⊖∈(⨆≐≲$8539$))≹⇙⪍($1729$⇄$1167$⪉⨛($8633$⨸⪁$1611$)))⨔⇊(($1113$⫡⨏$1910$)⪥($1758$⨑≵⋬$7328$)∵≐)","expression":"((⊖∈(⨆≐≲⋰*⋻6463))≹⇙⪍(⋰*⋻1332⇄⋰*⋻971⪉⨛(⋰*⋻6539⨸⪁⋰*⋻1235)))⨔⇊((⋰*⋻922⫡⨏⋰*⋻1487)⪥(⋰*⋻1359⨑≵⋬⋰*⋻5562)∵≐)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":280,"operation_count":11,"complexity_ratio":25.454545454545453,"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":8539,"base":11}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1729,"base":11},"right_expr":{"type":"numeric_atoms","value":1167,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8633,"base":11},"right_expr":{"type":"numeric_atoms","value":1611,"base":11}}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1113,"base":11},"right_expr":{"type":"numeric_atoms","value":1910,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1758,"base":11},"right_expr":{"type":"numeric_atoms","value":7328,"base":11}}}}},"used_operators":["JclMnS0uGI","AHs5Up7iyr","YFxL8Sc2Zy","Bi9z9uYZqW","EWw2JM7wp4","3EYGwJThht","g55IO6H4Gj","59igzFyhWz","QbnwKVWMIQ","QMFrweE19q","XnXgA4xnOs"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","dWAJyo7jo9","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8539","layer":4},{"info":"compute unary expreesion, input=8539, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=93117336","layer":3},{"info":"compute unary expreesion, input=93117336, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=1862341126","layer":2},{"info":"number node, value=1729","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=1167, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=8633","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=8633, right_input=1611, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20488","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20488, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-61249","layer":2},{"info":"compute binary expreesion, left_input=1862341126, right_input=-61249, 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=1113","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1910, 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=10168","layer":3},{"info":"number node, value=1758","layer":4},{"info":"number node, value=7328","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=7328, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-41127","layer":3},{"info":"compute binary expreesion, left_input=10168, right_input=-41127, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=-334","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-334, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⊖∈(⨆≐≲⋰*⋻6463))≹⇙⪍(⋰*⋻1332⇄⋰*⋻971⪉⨛(⋰*⋻6539⨸⪁⋰*⋻1235)))⨔⇊((⋰*⋻922⫡⨏⋰*⋻1487)⪥(⋰*⋻1359⨑≵⋬⋰*⋻5562)∵≐)=⋰*⋻61","reverse_text":"⋰*⋻61=((⊖∈(⨆≐≲⋰*⋻6463))≹⇙⪍(⋰*⋻1332⇄⋰*⋻971⪉⨛(⋰*⋻6539⨸⪁⋰*⋻1235)))⨔⇊((⋰*⋻922⫡⨏⋰*⋻1487)⪥(⋰*⋻1359⨑≵⋬⋰*⋻5562)∵≐)","cot":[{"info":"⨆≐≲⋰*⋻6463=⋰*⋻48620484","layer":3},{"info":"⊖∈⋰*⋻48620484=⋰*⋻8762744A8","layer":2},{"info":"⋰*⋻1332⇄⋰*⋻971=⋰*⋻0","layer":3},{"info":"⋰*⋻6539⨸⪁⋰*⋻1235=⋰*⋻14436","layer":3},{"info":"⋰*⋻0⪉⨛⋰*⋻14436=⋰*⋻-42021","layer":2},{"info":"⋰*⋻8762744A8≹⇙⪍⋰*⋻-42021=NaN","layer":1},{"info":"⋰*⋻922⫡⨏⋰*⋻1487=⋰*⋻7704","layer":3},{"info":"⋰*⋻1359⨑≵⋬⋰*⋻5562=⋰*⋻-28999","layer":3},{"info":"⋰*⋻7704⪥⋰*⋻-28999=⋰*⋻-A6","layer":2},{"info":"⋰*⋻-A6∵≐=⋰*⋻-284","layer":1},{"info":"NaN⨔⇊⋰*⋻-284=⋰*⋻61","layer":0}]}
{"id":144,"expression_no_base_symbol":"(⫓⪴(↩⪖($6624$≀⩗∶$3095$)))⨵⪆($1375$∌↝$4384$)⇤$4351$⨽∌$1534$≄⊠($4249$⪟⇏$2713$≬⇓($3041$⨉))","expression":"(⫓⪴(↩⪖(⋰*⋻4A82≀⩗∶⋰*⋻2364)))⨵⪆(⋰*⋻1040∌↝⋰*⋻3326)⇤⋰*⋻32A6⨽∌⋰*⋻1175≄⊠(⋰*⋻3213⪟⇏⋰*⋻2047≬⇓(⋰*⋻2315⨉))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6280,"operation_count":11,"complexity_ratio":570.9090909090909,"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":6624,"base":11},"right_expr":{"type":"numeric_atoms","value":3095,"base":11}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1375,"base":11},"right_expr":{"type":"numeric_atoms","value":4384,"base":11}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4351,"base":11},"right_expr":{"type":"numeric_atoms","value":1534,"base":11}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4249,"base":11},"right_expr":{"type":"numeric_atoms","value":2713,"base":11}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":3041,"base":11}}}}},"used_operators":["2DQ55sFlQl","eLxqMNBOBk","fG6uBQFnGz","8INZBEW696","vXNesLlMH1","YSKBFp38Pu","9Isq31Ruls","9samAPKr6k","jWTQ2TZYIH","GODebY97qR","aMUSaJuDRU"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6624","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=6624, right_input=3095, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2982","layer":2},{"info":"compute unary expreesion, input=-2982, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8892324","layer":1},{"info":"number node, value=1375","layer":4},{"info":"number node, value=4384","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=4384, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=4351","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=4351, right_input=1534, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=2848","layer":2},{"info":"number node, value=4249","layer":4},{"info":"number node, value=2713","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=2713, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=3041","layer":4},{"info":"compute unary expreesion, input=3041, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=8410","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=8410, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2848, right_input=0, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=8892324, right_input=1500, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴(↩⪖(⋰*⋻4A82≀⩗∶⋰*⋻2364)))⨵⪆(⋰*⋻1040∌↝⋰*⋻3326)⇤⋰*⋻32A6⨽∌⋰*⋻1175≄⊠(⋰*⋻3213⪟⇏⋰*⋻2047≬⇓(⋰*⋻2315⨉))=⋰*⋻136","reverse_text":"⋰*⋻136=(⫓⪴(↩⪖(⋰*⋻4A82≀⩗∶⋰*⋻2364)))⨵⪆(⋰*⋻1040∌↝⋰*⋻3326)⇤⋰*⋻32A6⨽∌⋰*⋻1175≄⊠(⋰*⋻3213⪟⇏⋰*⋻2047≬⇓(⋰*⋻2315⨉))","cot":[{"info":"⋰*⋻4A82≀⩗∶⋰*⋻2364=⋰*⋻0","layer":3},{"info":"↩⪖⋰*⋻0=⋰*⋻-2271","layer":2},{"info":"⫓⪴⋰*⋻-2271=⋰*⋻5023A31","layer":1},{"info":"⋰*⋻1040∌↝⋰*⋻3326=⋰*⋻0","layer":3},{"info":"⋰*⋻32A6⨽∌⋰*⋻1175=⋰*⋻0","layer":3},{"info":"⋰*⋻0⇤⋰*⋻0=⋰*⋻215A","layer":2},{"info":"⋰*⋻3213⪟⇏⋰*⋻2047=⋰*⋻-1","layer":3},{"info":"⋰*⋻2315⨉=⋰*⋻6356","layer":3},{"info":"⋰*⋻-1≬⇓⋰*⋻6356=⋰*⋻0","layer":2},{"info":"⋰*⋻215A≄⊠⋰*⋻0=⋰*⋻1144","layer":1},{"info":"⋰*⋻5023A31⨵⪆⋰*⋻1144=⋰*⋻136","layer":0}]}
{"id":145,"expression_no_base_symbol":"($1072$≀⫉$2134$)↢($4595$+$5325$)+⪬∐($6495$⋾⨃∁$2380$)⋕⪉⪜($3556$⨑≵⋬$6060$)⇄(⇙⪊($3754$⋷$5763$)⨸($1197$⪎↠$1146$))","expression":"(⋰*⋻895≀⫉⋰*⋻1670)↢(⋰*⋻34A8+⋰*⋻4001)+⪬∐(⋰*⋻4975⋾⨃∁⋰*⋻1874)⋕⪉⪜(⋰*⋻2743⨑≵⋬⋰*⋻460A)⇄(⇙⪊(⋰*⋻2903⋷⋰*⋻436A)⨸(⋰*⋻999⪎↠⋰*⋻952))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10541,"operation_count":12,"complexity_ratio":878.4166666666666,"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":1072,"base":11},"right_expr":{"type":"numeric_atoms","value":2134,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4595,"base":11},"right_expr":{"type":"numeric_atoms","value":5325,"base":11}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":6495,"base":11},"right_expr":{"type":"numeric_atoms","value":2380,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3556,"base":11},"right_expr":{"type":"numeric_atoms","value":6060,"base":11}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3754,"base":11},"right_expr":{"type":"numeric_atoms","value":5763,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1197,"base":11},"right_expr":{"type":"numeric_atoms","value":1146,"base":11}}}}},"used_operators":["3EYGwJThht","2GS7woTJqF","WR6HLWljOP","oZj3VtZNQx","W4YGzv6Whe","z6LnFrNh4i","212REbPD9h","XnXgA4xnOs","pB6Fcnrjim","KmoU8R5UQR","23Mk6UjR3U","3tVxb0NHM4"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⋰*⋻400","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=2134, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4595","layer":4},{"info":"number node, value=5325","layer":4},{"info":"compute binary expreesion, left_input=4595, right_input=5325, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9920","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=9920, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2338","layer":2},{"info":"number node, value=6495","layer":4},{"info":"number node, value=2380","layer":4},{"info":"compute binary expreesion, left_input=6495, right_input=2380, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=56615346","layer":3},{"info":"number node, value=3556","layer":4},{"info":"number node, value=6060","layer":4},{"info":"compute binary expreesion, left_input=3556, right_input=6060, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-23261","layer":3},{"info":"compute binary expreesion, left_input=56615346, right_input=-23261, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=2338, right_input=2802, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7014","layer":1},{"info":"number node, value=3754","layer":4},{"info":"number node, value=5763","layer":4},{"info":"compute binary expreesion, left_input=3754, right_input=5763, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7772","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1146, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=7772, right_input=160, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=15544","layer":2},{"info":"compute unary expreesion, input=15544, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-7014, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=484","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻895≀⫉⋰*⋻1670)↢(⋰*⋻34A8+⋰*⋻4001)+⪬∐(⋰*⋻4975⋾⨃∁⋰*⋻1874)⋕⪉⪜(⋰*⋻2743⨑≵⋬⋰*⋻460A)⇄(⇙⪊(⋰*⋻2903⋷⋰*⋻436A)⨸(⋰*⋻999⪎↠⋰*⋻952))=⋰*⋻400","reverse_text":"⋰*⋻400=(⋰*⋻895≀⫉⋰*⋻1670)↢(⋰*⋻34A8+⋰*⋻4001)+⪬∐(⋰*⋻4975⋾⨃∁⋰*⋻1874)⋕⪉⪜(⋰*⋻2743⨑≵⋬⋰*⋻460A)⇄(⇙⪊(⋰*⋻2903⋷⋰*⋻436A)⨸(⋰*⋻999⪎↠⋰*⋻952))","cot":[{"info":"⋰*⋻895≀⫉⋰*⋻1670=⋰*⋻2136","layer":3},{"info":"⋰*⋻34A8+⋰*⋻4001=⋰*⋻74A9","layer":3},{"info":"⋰*⋻2136↢⋰*⋻74A9=⋰*⋻1836","layer":2},{"info":"⋰*⋻4975⋾⨃∁⋰*⋻1874=⋰*⋻29A59A47","layer":3},{"info":"⋰*⋻2743⨑≵⋬⋰*⋻460A=⋰*⋻-16527","layer":3},{"info":"⋰*⋻29A59A47⋕⪉⪜⋰*⋻-16527=⋰*⋻2118","layer":2},{"info":"⋰*⋻1836+⪬∐⋰*⋻2118=⋰*⋻-52A7","layer":1},{"info":"⋰*⋻2903⋷⋰*⋻436A=⋰*⋻5926","layer":3},{"info":"⋰*⋻999⪎↠⋰*⋻952=⋰*⋻136","layer":3},{"info":"⋰*⋻5926⨸⋰*⋻136=⋰*⋻10751","layer":2},{"info":"⇙⪊⋰*⋻10751=⋰*⋻0","layer":1},{"info":"⋰*⋻-52A7⇄⋰*⋻0=⋰*⋻400","layer":0}]}
{"id":146,"expression_no_base_symbol":"(⇜(⊽$2494$))⪬($3222$⪘⫢$2145$≎⊠⪸($9769$⫿))↹⊜(($2488$↹⊜$2555$⊭∹↮)∌(≔$4145$⪝$1762$))","expression":"(⇜(⊽⋰*⋻1968))⪬(⋰*⋻246A⪘⫢⋰*⋻1680≎⊠⪸(⋰*⋻7381⫿))↹⊜((⋰*⋻1962↹⊜⋰*⋻1A13⊭∹↮)∌(≔⋰*⋻3129⪝⋰*⋻1362))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1696,"operation_count":12,"complexity_ratio":141.33333333333334,"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":2494,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3222,"base":11},"right_expr":{"type":"numeric_atoms","value":2145,"base":11}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":9769,"base":11}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2488,"base":11},"right_expr":{"type":"numeric_atoms","value":2555,"base":11}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4145,"base":11},"right_expr":{"type":"numeric_atoms","value":1762,"base":11}}}}},"used_operators":["9bazX3JMtO","Ez1Nq5fNfI","lFBm8KRb8F","QxG7OkqoLX","bJkvcejdHO","oacrs7FA3X","9tKT6PmtkH","8cLx32lpNA","xNBdhnnwKq","8FLs4eVsLt","wicAB68Tmb"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋰*⋻16915","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2494","layer":4},{"info":"compute unary expreesion, input=2494, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=6510","layer":3},{"info":"compute unary expreesion, input=6510, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-52488","layer":2},{"info":"number node, value=3222","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=2145, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6320","layer":3},{"info":"number node, value=9769","layer":4},{"info":"compute unary expreesion, input=9769, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=9769","layer":3},{"info":"compute binary expreesion, left_input=6320, right_input=9769, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1636407","layer":2},{"info":"compute binary expreesion, left_input=-52488, right_input=1636407, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=2488","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=2555, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-5340","layer":3},{"info":"compute unary expreesion, input=-5340, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-5340","layer":2},{"info":"number node, value=4145","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=4145, right_input=1762, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-9931","layer":3},{"info":"compute unary expreesion, input=-9931, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=279362","layer":2},{"info":"compute binary expreesion, left_input=-5340, right_input=279362, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5340","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-5340, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=23732","layer":0}],"base":11,"result_base":11,"text":"(⇜(⊽⋰*⋻1968))⪬(⋰*⋻246A⪘⫢⋰*⋻1680≎⊠⪸(⋰*⋻7381⫿))↹⊜((⋰*⋻1962↹⊜⋰*⋻1A13⊭∹↮)∌(≔⋰*⋻3129⪝⋰*⋻1362))=⋰*⋻16915","reverse_text":"⋰*⋻16915=(⇜(⊽⋰*⋻1968))⪬(⋰*⋻246A⪘⫢⋰*⋻1680≎⊠⪸(⋰*⋻7381⫿))↹⊜((⋰*⋻1962↹⊜⋰*⋻1A13⊭∹↮)∌(≔⋰*⋻3129⪝⋰*⋻1362))","cot":[{"info":"⊽⋰*⋻1968=⋰*⋻4989","layer":3},{"info":"⇜⋰*⋻4989=⋰*⋻-36487","layer":2},{"info":"⋰*⋻246A⪘⫢⋰*⋻1680=⋰*⋻4826","layer":3},{"info":"⋰*⋻7381⫿=⋰*⋻7381","layer":3},{"info":"⋰*⋻4826≎⊠⪸⋰*⋻7381=⋰*⋻A18503","layer":2},{"info":"⋰*⋻-36487⪬⋰*⋻A18503=⋰*⋻A22","layer":1},{"info":"⋰*⋻1962↹⊜⋰*⋻1A13=⋰*⋻-4015","layer":3},{"info":"⋰*⋻-4015⊭∹↮=⋰*⋻-4015","layer":2},{"info":"⋰*⋻3129⪝⋰*⋻1362=⋰*⋻-7509","layer":3},{"info":"≔⋰*⋻-7509=⋰*⋻180986","layer":2},{"info":"⋰*⋻-4015∌⋰*⋻180986=⋰*⋻-4015","layer":1},{"info":"⋰*⋻A22↹⊜⋰*⋻-4015=⋰*⋻16915","layer":0}]}
{"id":147,"expression_no_base_symbol":"(($4292$⪍↜⋙$3681$)↤⩊(⨵≀≌$3025$)⋷$2022$⫞⩸⩒$5150$≦↸($1352$⫒⫫$3856$))⪭≯(((⨈⫕$4066$)⫃⨇(⪛⨧$2883$))∙⊟(($1939$⨸⪁$3134$)⊹≧⊝))","expression":"((⋰*⋻3252⪍↜⋙⋰*⋻2847)↤⩊(⨵≀≌⋰*⋻2300)⋷⋰*⋻1579⫞⩸⩒⋰*⋻3962≦↸(⋰*⋻101A⫒⫫⋰*⋻2996))⪭≯(((⨈⫕⋰*⋻3067)⫃⨇(⪛⨧⋰*⋻2191))∙⊟((⋰*⋻1503⨸⪁⋰*⋻239A)⊹≧⊝))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":29612,"operation_count":14,"complexity_ratio":2115.1428571428573,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4292,"base":11},"right_expr":{"type":"numeric_atoms","value":3681,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3025,"base":11}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2022,"base":11},"right_expr":{"type":"numeric_atoms","value":5150,"base":11}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1352,"base":11},"right_expr":{"type":"numeric_atoms","value":3856,"base":11}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4066,"base":11}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2883,"base":11}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1939,"base":11},"right_expr":{"type":"numeric_atoms","value":3134,"base":11}}}}},"used_operators":["XAx5wpdLa6","23Mk6UjR3U","13rbtpv6ld","L05ObWFQCd","srAu1WTS94","RygbFNSyEJ","XGcMNugi78","6Ko8hGgeMq","SxTAKzQCrw","09Ly4LVMIf","megm06wKyl","6NJAcO2OWT","LxFB4K6j0n","g55IO6H4Gj"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4292","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=4292, right_input=3681, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1222","layer":3},{"info":"number node, value=3025","layer":4},{"info":"compute unary expreesion, input=3025, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9075","layer":3},{"info":"compute binary expreesion, left_input=1222, right_input=-9075, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=2022","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=5150, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5150","layer":3},{"info":"number node, value=1352","layer":4},{"info":"number node, value=3856","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=3856, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5150, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=4066","layer":4},{"info":"compute unary expreesion, input=4066, 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=2883","layer":4},{"info":"compute unary expreesion, input=2883, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7167","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=7167, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-28700","layer":2},{"info":"number node, value=1939","layer":4},{"info":"number node, value=3134","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=3134, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10146","layer":3},{"info":"compute unary expreesion, input=10146, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-40584","layer":2},{"info":"compute binary expreesion, left_input=-28700, right_input=-40584, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=388844","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=388844, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3252⪍↜⋙⋰*⋻2847)↤⩊(⨵≀≌⋰*⋻2300)⋷⋰*⋻1579⫞⩸⩒⋰*⋻3962≦↸(⋰*⋻101A⫒⫫⋰*⋻2996))⪭≯(((⨈⫕⋰*⋻3067)⫃⨇(⪛⨧⋰*⋻2191))∙⊟((⋰*⋻1503⨸⪁⋰*⋻239A)⊹≧⊝))=NaN","reverse_text":"NaN=((⋰*⋻3252⪍↜⋙⋰*⋻2847)↤⩊(⨵≀≌⋰*⋻2300)⋷⋰*⋻1579⫞⩸⩒⋰*⋻3962≦↸(⋰*⋻101A⫒⫫⋰*⋻2996))⪭≯(((⨈⫕⋰*⋻3067)⫃⨇(⪛⨧⋰*⋻2191))∙⊟((⋰*⋻1503⨸⪁⋰*⋻239A)⊹≧⊝))","cot":[{"info":"⋰*⋻3252⪍↜⋙⋰*⋻2847=⋰*⋻A11","layer":3},{"info":"⨵≀≌⋰*⋻2300=⋰*⋻-6900","layer":3},{"info":"⋰*⋻A11↤⩊⋰*⋻-6900=NaN","layer":2},{"info":"⋰*⋻1579⫞⩸⩒⋰*⋻3962=⋰*⋻3962","layer":3},{"info":"⋰*⋻101A⫒⫫⋰*⋻2996=NaN","layer":3},{"info":"⋰*⋻3962≦↸NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⨈⫕⋰*⋻3067=⋰*⋻-1A","layer":3},{"info":"⪛⨧⋰*⋻2191=⋰*⋻5426","layer":3},{"info":"⋰*⋻-1A⫃⨇⋰*⋻5426=⋰*⋻-1A621","layer":2},{"info":"⋰*⋻1503⨸⪁⋰*⋻239A=⋰*⋻7694","layer":3},{"info":"⋰*⋻7694⊹≧⊝=⋰*⋻-28545","layer":2},{"info":"⋰*⋻-1A621∙⊟⋰*⋻-28545=⋰*⋻246165","layer":1},{"info":"NaN⪭≯⋰*⋻246165=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"((⨦⪝$1268$⇻⋧≁$3006$)⨪↰⇹(⩦⩻⨪(≇⪴$2747$)))↳≱((($4603$⩍⋽⫝̸$2339$)⫻⋑⊟)≄⊠($5777$⩌⋺$2301$)⇻⋧≁($1143$⫒⫫$1324$))","expression":"((⨦⪝⋰*⋻A53⇻⋧≁⋰*⋻2293)⨪↰⇹(⩦⩻⨪(≇⪴⋰*⋻2078)))↳≱(((⋰*⋻3505⩍⋽⫝̸⋰*⋻1837)⫻⋑⊟)≄⊠(⋰*⋻4382⩌⋺⋰*⋻1802)⇻⋧≁(⋰*⋻94A⫒⫫⋰*⋻AA4))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3448,"operation_count":12,"complexity_ratio":287.3333333333333,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1268,"base":11},"right_expr":{"type":"numeric_atoms","value":3006,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2747,"base":11}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4603,"base":11},"right_expr":{"type":"numeric_atoms","value":2339,"base":11}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5777,"base":11},"right_expr":{"type":"numeric_atoms","value":2301,"base":11}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1143,"base":11},"right_expr":{"type":"numeric_atoms","value":1324,"base":11}}}}},"used_operators":["JwTKLfZU96","tmPS8pqC7x","SUjycxNXIR","jCPkEVoL5K","2td37pGCOC","zoVPnxeHJ3","vXNesLlMH1","o575Zjdmzy","BiWNJpBvwn","g7Hmc5v1ko","6Ko8hGgeMq"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rJVOvQCfKK","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"number node, value=3006","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=3006, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=2747","layer":4},{"info":"compute unary expreesion, input=2747, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6901","layer":3},{"info":"compute unary expreesion, input=-6901, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-6901","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=-6901, 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=-1884","layer":1},{"info":"number node, value=4603","layer":4},{"info":"number node, value=2339","layer":4},{"info":"compute binary expreesion, left_input=4603, right_input=2339, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1393","layer":3},{"info":"compute unary expreesion, input=1393, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2276","layer":2},{"info":"number node, value=5777","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=5777, right_input=2301, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8199","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1324, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8199, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2276, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=1500, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⨦⪝⋰*⋻A53⇻⋧≁⋰*⋻2293)⨪↰⇹(⩦⩻⨪(≇⪴⋰*⋻2078)))↳≱(((⋰*⋻3505⩍⋽⫝̸⋰*⋻1837)⫻⋑⊟)≄⊠(⋰*⋻4382⩌⋺⋰*⋻1802)⇻⋧≁(⋰*⋻94A⫒⫫⋰*⋻AA4))=⋰*⋻0","reverse_text":"⋰*⋻0=((⨦⪝⋰*⋻A53⇻⋧≁⋰*⋻2293)⨪↰⇹(⩦⩻⨪(≇⪴⋰*⋻2078)))↳≱(((⋰*⋻3505⩍⋽⫝̸⋰*⋻1837)⫻⋑⊟)≄⊠(⋰*⋻4382⩌⋺⋰*⋻1802)⇻⋧≁(⋰*⋻94A⫒⫫⋰*⋻AA4))","cot":[{"info":"⋰*⋻A53⇻⋧≁⋰*⋻2293=⋰*⋻-377","layer":3},{"info":"⨦⪝⋰*⋻-377=⋰*⋻-1463","layer":2},{"info":"≇⪴⋰*⋻2078=⋰*⋻-5204","layer":3},{"info":"⩦⩻⨪⋰*⋻-5204=⋰*⋻-5204","layer":2},{"info":"⋰*⋻-1463⨪↰⇹⋰*⋻-5204=⋰*⋻-1463","layer":1},{"info":"⋰*⋻3505⩍⋽⫝̸⋰*⋻1837=⋰*⋻1057","layer":3},{"info":"⋰*⋻1057⫻⋑⊟=⋰*⋻-178A","layer":2},{"info":"⋰*⋻4382⩌⋺⋰*⋻1802=⋰*⋻-6184","layer":3},{"info":"⋰*⋻94A⫒⫫⋰*⋻AA4=NaN","layer":3},{"info":"⋰*⋻-6184⇻⋧≁NaN=NaN","layer":2},{"info":"⋰*⋻-178A≄⊠NaN=⋰*⋻1144","layer":1},{"info":"⋰*⋻-1463↳≱⋰*⋻1144=⋰*⋻0","layer":0}]}
{"id":149,"expression_no_base_symbol":"($1535$⪒⊣⊆$1329$∼($3280$⫠↝⫳)⫚↹⊑($5271$⪕$1013$)↳≱$2475$⋹⋡⊁$4123$)⋣⋖((≻⋜$2826$)≃(⇾⩊⇾$4660$)⨑≵⋬($1890$⪨≂$1070$)≀⫉$3994$∋$2517$)","expression":"(⋰*⋻1176⪒⊣⊆⋰*⋻AA9∼(⋰*⋻2512⫠↝⫳)⫚↹⊑(⋰*⋻3A62⪕⋰*⋻841)↳≱⋰*⋻1950⋹⋡⊁⋰*⋻3109)⋣⋖((≻⋜⋰*⋻213A)≃(⇾⩊⇾⋰*⋻3557)⨑≵⋬(⋰*⋻1469⪨≂⋰*⋻893)≀⫉⋰*⋻3001∋⋰*⋻1989)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":77059,"operation_count":15,"complexity_ratio":5137.266666666666,"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":1535,"base":11},"right_expr":{"type":"numeric_atoms","value":1329,"base":11}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":3280,"base":11}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":5271,"base":11},"right_expr":{"type":"numeric_atoms","value":1013,"base":11}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2475,"base":11},"right_expr":{"type":"numeric_atoms","value":4123,"base":11}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2826,"base":11}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4660,"base":11}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1890,"base":11},"right_expr":{"type":"numeric_atoms","value":1070,"base":11}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3994,"base":11},"right_expr":{"type":"numeric_atoms","value":2517,"base":11}}}}},"used_operators":["J0M6qkBnIM","dfKe02y8D2","DyGG3AbaNP","eRqsBgTDFp","8n5YIzOsVS","JwTKLfZU96","umQnsF7QlU","As8RqfVLgs","XnXgA4xnOs","YbVcJGFEVW","3tj9sqzovi","bx9Z9DAK5y","oZj3VtZNQx","sdazOOVcIp","ukq6epAj5P"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"⋰*⋻-377","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1535","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=1329, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3070","layer":3},{"info":"number node, value=3280","layer":4},{"info":"compute unary expreesion, input=3280, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=105583","layer":3},{"info":"compute binary expreesion, left_input=3070, right_input=105583, 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=5271","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=5271, right_input=1013, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=10430","layer":3},{"info":"number node, value=2475","layer":4},{"info":"number node, value=4123","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=4123, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4873","layer":3},{"info":"compute binary expreesion, left_input=10430, right_input=4873, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=4660","layer":4},{"info":"compute unary expreesion, input=4660, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-48426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-48426, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=193664","layer":2},{"info":"number node, value=1890","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=1070, 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=1742","layer":3},{"info":"number node, value=3994","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=2517, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5369240","layer":3},{"info":"compute binary expreesion, left_input=1742, right_input=5369240, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=193664, right_input=2822, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=949945","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=949945, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-447","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1176⪒⊣⊆⋰*⋻AA9∼(⋰*⋻2512⫠↝⫳)⫚↹⊑(⋰*⋻3A62⪕⋰*⋻841)↳≱⋰*⋻1950⋹⋡⊁⋰*⋻3109)⋣⋖((≻⋜⋰*⋻213A)≃(⇾⩊⇾⋰*⋻3557)⨑≵⋬(⋰*⋻1469⪨≂⋰*⋻893)≀⫉⋰*⋻3001∋⋰*⋻1989)=⋰*⋻-377","reverse_text":"⋰*⋻-377=(⋰*⋻1176⪒⊣⊆⋰*⋻AA9∼(⋰*⋻2512⫠↝⫳)⫚↹⊑(⋰*⋻3A62⪕⋰*⋻841)↳≱⋰*⋻1950⋹⋡⊁⋰*⋻3109)⋣⋖((≻⋜⋰*⋻213A)≃(⇾⩊⇾⋰*⋻3557)⨑≵⋬(⋰*⋻1469⪨≂⋰*⋻893)≀⫉⋰*⋻3001∋⋰*⋻1989)","cot":[{"info":"⋰*⋻1176⪒⊣⊆⋰*⋻AA9=⋰*⋻2341","layer":3},{"info":"⋰*⋻2512⫠↝⫳=⋰*⋻72365","layer":3},{"info":"⋰*⋻2341∼⋰*⋻72365=NaN","layer":2},{"info":"⋰*⋻3A62⪕⋰*⋻841=⋰*⋻7922","layer":3},{"info":"⋰*⋻1950⋹⋡⊁⋰*⋻3109=⋰*⋻3730","layer":3},{"info":"⋰*⋻7922↳≱⋰*⋻3730=⋰*⋻0","layer":2},{"info":"NaN⫚↹⊑⋰*⋻0=⋰*⋻-377","layer":1},{"info":"≻⋜⋰*⋻213A=NaN","layer":3},{"info":"⇾⩊⇾⋰*⋻3557=⋰*⋻-33424","layer":3},{"info":"NaN≃⋰*⋻-33424=⋰*⋻122559","layer":2},{"info":"⋰*⋻1469⪨≂⋰*⋻893=⋰*⋻1344","layer":3},{"info":"⋰*⋻3001∋⋰*⋻1989=⋰*⋻3037A98","layer":3},{"info":"⋰*⋻1344≀⫉⋰*⋻3037A98=⋰*⋻2136","layer":2},{"info":"⋰*⋻122559⨑≵⋬⋰*⋻2136=⋰*⋻599787","layer":1},{"info":"⋰*⋻-377⋣⋖⋰*⋻599787=⋰*⋻-377","layer":0}]}
{"id":150,"expression_no_base_symbol":"((⩰(⩩$1492$))⫌⩉⩟($1686$≬⇓$3950$)→⨶⪴($7091$⪇≇⋚$1792$))∖(($2539$↛⩡⫤)≨($5737$≓∲$1530$))⋥⋵⩄($1494$⪄$2103$)↞⋁($3878$⇞)","expression":"((⩰(⩩⋰*⋻1137))⫌⩉⩟(⋰*⋻12A3≬⇓⋰*⋻2A71)→⨶⪴(⋰*⋻5367⪇≇⋚⋰*⋻138A))∖((⋰*⋻19A9↛⩡⫤)≨(⋰*⋻4346≓∲⋰*⋻1171))⋥⋵⩄(⋰*⋻1139⪄⋰*⋻1642)↞⋁(⋰*⋻2A06⇞)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2296297,"operation_count":14,"complexity_ratio":164021.2142857143,"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":1492,"base":11}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1686,"base":11},"right_expr":{"type":"numeric_atoms","value":3950,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":7091,"base":11},"right_expr":{"type":"numeric_atoms","value":1792,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2539,"base":11}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5737,"base":11},"right_expr":{"type":"numeric_atoms","value":1530,"base":11}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1494,"base":11},"right_expr":{"type":"numeric_atoms","value":2103,"base":11}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":3878,"base":11}}}}},"used_operators":["tXD093vOjl","XIIwhv8d0m","WkeUrDK8WX","kMhfGuqI2H","bF6eod5Gvf","jWTQ2TZYIH","3sJ7IOPOlU","7t3wd0Fuz7","0KMCeP1Jsh","FU0Cs4j7VP","s1XTVnmDOJ","RqrPlJkxDo","SUmda5xLS4","5JYyxRJd4f"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","8w2t5hMYqp","9FxExcQeMw","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":2},{"info":"number node, value=1686","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=3950, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=7091","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=7091, right_input=1792, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-76","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-76, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-379478","layer":3},{"info":"number node, value=5737","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=5737, right_input=1530, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=58153","layer":3},{"info":"compute binary expreesion, left_input=-379478, right_input=58153, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=759612","layer":2},{"info":"number node, value=1494","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=2103, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-225613","layer":3},{"info":"number node, value=3878","layer":4},{"info":"compute unary expreesion, input=3878, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=15425","layer":3},{"info":"compute binary expreesion, left_input=-225613, right_input=15425, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=759612, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⩰(⩩⋰*⋻1137))⫌⩉⩟(⋰*⋻12A3≬⇓⋰*⋻2A71)→⨶⪴(⋰*⋻5367⪇≇⋚⋰*⋻138A))∖((⋰*⋻19A9↛⩡⫤)≨(⋰*⋻4346≓∲⋰*⋻1171))⋥⋵⩄(⋰*⋻1139⪄⋰*⋻1642)↞⋁(⋰*⋻2A06⇞)=⋰*⋻0","reverse_text":"⋰*⋻0=((⩰(⩩⋰*⋻1137))⫌⩉⩟(⋰*⋻12A3≬⇓⋰*⋻2A71)→⨶⪴(⋰*⋻5367⪇≇⋚⋰*⋻138A))∖((⋰*⋻19A9↛⩡⫤)≨(⋰*⋻4346≓∲⋰*⋻1171))⋥⋵⩄(⋰*⋻1139⪄⋰*⋻1642)↞⋁(⋰*⋻2A06⇞)","cot":[{"info":"⩩⋰*⋻1137=NaN","layer":3},{"info":"⩰NaN=NaN","layer":2},{"info":"⋰*⋻12A3≬⇓⋰*⋻2A71=⋰*⋻-20","layer":3},{"info":"⋰*⋻5367⪇≇⋚⋰*⋻138A=⋰*⋻0","layer":3},{"info":"⋰*⋻-20→⨶⪴⋰*⋻0=⋰*⋻-6A","layer":2},{"info":"NaN⫌⩉⩟⋰*⋻-6A=⋰*⋻-46","layer":1},{"info":"⋰*⋻19A9↛⩡⫤=⋰*⋻-23A120","layer":3},{"info":"⋰*⋻4346≓∲⋰*⋻1171=⋰*⋻3A767","layer":3},{"info":"⋰*⋻-23A120≨⋰*⋻3A767=⋰*⋻479787","layer":2},{"info":"⋰*⋻1139⪄⋰*⋻1642=⋰*⋻-144563","layer":3},{"info":"⋰*⋻2A06⇞=⋰*⋻10653","layer":3},{"info":"⋰*⋻-144563↞⋁⋰*⋻10653=NaN","layer":2},{"info":"⋰*⋻479787⋥⋵⩄NaN=NaN","layer":1},{"info":"⋰*⋻-46∖NaN=⋰*⋻0","layer":0}]}
{"id":151,"expression_no_base_symbol":"((⨑⩽⪐$6722$⇻⋧≁$8919$)⨲∙)↳∿⪆(∂($3939$⩘$1498$)≹⇙⪍(⩎⋉$1176$))","expression":"((⨑⩽⪐⋰*⋻5061⇻⋧≁⋰*⋻6779)⨲∙)↳∿⪆(∂(⋰*⋻2A61⩘⋰*⋻1142)≹⇙⪍(⩎⋉⋰*⋻97A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9722,"operation_count":8,"complexity_ratio":1215.25,"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":6722,"base":11},"right_expr":{"type":"numeric_atoms","value":8919,"base":11}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3939,"base":11},"right_expr":{"type":"numeric_atoms","value":1498,"base":11}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1176,"base":11}}}}},"used_operators":["Cw4SuJJGHO","cRahaglYVE","AF7qkfDlqP","jCPkEVoL5K","Uaa54Peajs","AHs5Up7iyr","cHh1gJQ2o6","FlXk3pOYe8"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6722","layer":4},{"info":"number node, value=8919","layer":4},{"info":"compute binary expreesion, left_input=6722, right_input=8919, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=1683","layer":2},{"info":"compute unary expreesion, input=1683, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=20921226","layer":1},{"info":"number node, value=3939","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=1498, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1650, 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":"compute binary expreesion, left_input=20921226, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨑⩽⪐⋰*⋻5061⇻⋧≁⋰*⋻6779)⨲∙)↳∿⪆(∂(⋰*⋻2A61⩘⋰*⋻1142)≹⇙⪍(⩎⋉⋰*⋻97A))=NaN","reverse_text":"NaN=((⨑⩽⪐⋰*⋻5061⇻⋧≁⋰*⋻6779)⨲∙)↳∿⪆(∂(⋰*⋻2A61⩘⋰*⋻1142)≹⇙⪍(⩎⋉⋰*⋻97A))","cot":[{"info":"⋰*⋻5061⇻⋧≁⋰*⋻6779=⋰*⋻-377","layer":3},{"info":"⨑⩽⪐⋰*⋻-377=⋰*⋻12A0","layer":2},{"info":"⋰*⋻12A0⨲∙=⋰*⋻1089A477","layer":1},{"info":"⋰*⋻2A61⩘⋰*⋻1142=⋰*⋻136","layer":3},{"info":"⩎⋉⋰*⋻97A=⋰*⋻1270","layer":3},{"info":"⋰*⋻136≹⇙⪍⋰*⋻1270=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⋰*⋻1089A477↳∿⪆NaN=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"(⨮↦↱($2058$≧⫂∧$5761$))↢(⇉-⫰($4816$⊲⩕⊾$4316$))⪉⨛(($5519$⇄$4450$)↦)∼($3994$≳⇉$4427$)⪬($4426$⫌⩉⩟$8315$)","expression":"(⨮↦↱(⋰*⋻1601≧⫂∧⋰*⋻4368))↢(⇉-⫰(⋰*⋻3689⊲⩕⊾⋰*⋻3274))⪉⨛((⋰*⋻4168⇄⋰*⋻3386)↦)∼(⋰*⋻3001≳⇉⋰*⋻3365)⪬(⋰*⋻3364⫌⩉⩟⋰*⋻627A)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":274477677,"operation_count":12,"complexity_ratio":22873139.75,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2058,"base":11},"right_expr":{"type":"numeric_atoms","value":5761,"base":11}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4816,"base":11},"right_expr":{"type":"numeric_atoms","value":4316,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5519,"base":11},"right_expr":{"type":"numeric_atoms","value":4450,"base":11}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3994,"base":11},"right_expr":{"type":"numeric_atoms","value":4427,"base":11}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4426,"base":11},"right_expr":{"type":"numeric_atoms","value":8315,"base":11}}}}},"used_operators":["EWw2JM7wp4","WR6HLWljOP","sYcpBQ0cFf","Ph9nP6C5qx","IGFM8TAlm9","DmTXOeWf9t","DyGG3AbaNP","fFznvYxMfW","3EYGwJThht","Ez1Nq5fNfI","V0kx6qeWkN","XIIwhv8d0m"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":4},{"info":"number node, value=5761","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=5761, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5288","layer":3},{"info":"compute unary expreesion, input=5288, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-69013626","layer":2},{"info":"number node, value=4816","layer":4},{"info":"number node, value=4316","layer":4},{"info":"compute binary expreesion, left_input=4816, right_input=4316, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-116846","layer":3},{"info":"compute unary expreesion, input=-116846, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=-69013626, right_input=20, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-138027212","layer":1},{"info":"number node, value=5519","layer":4},{"info":"number node, value=4450","layer":4},{"info":"compute binary expreesion, left_input=5519, right_input=4450, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-68","layer":2},{"info":"number node, value=3994","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=4427, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=4426","layer":4},{"info":"number node, value=8315","layer":4},{"info":"compute binary expreesion, left_input=4426, right_input=8315, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-68, right_input=1234, 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=-138027212, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨮↦↱(⋰*⋻1601≧⫂∧⋰*⋻4368))↢(⇉-⫰(⋰*⋻3689⊲⩕⊾⋰*⋻3274))⪉⨛((⋰*⋻4168⇄⋰*⋻3386)↦)∼(⋰*⋻3001≳⇉⋰*⋻3365)⪬(⋰*⋻3364⫌⩉⩟⋰*⋻627A)=NaN","reverse_text":"NaN=(⨮↦↱(⋰*⋻1601≧⫂∧⋰*⋻4368))↢(⇉-⫰(⋰*⋻3689⊲⩕⊾⋰*⋻3274))⪉⨛((⋰*⋻4168⇄⋰*⋻3386)↦)∼(⋰*⋻3001≳⇉⋰*⋻3365)⪬(⋰*⋻3364⫌⩉⩟⋰*⋻627A)","cot":[{"info":"⋰*⋻1601≧⫂∧⋰*⋻4368=⋰*⋻3A78","layer":3},{"info":"⨮↦↱⋰*⋻3A78=⋰*⋻-35A57A60","layer":2},{"info":"⋰*⋻3689⊲⩕⊾⋰*⋻3274=⋰*⋻-7A874","layer":3},{"info":"⇉-⫰⋰*⋻-7A874=⋰*⋻19","layer":2},{"info":"⋰*⋻-35A57A60↢⋰*⋻19=⋰*⋻-70A04984","layer":1},{"info":"⋰*⋻4168⇄⋰*⋻3386=⋰*⋻0","layer":3},{"info":"⋰*⋻0↦=⋰*⋻-62","layer":2},{"info":"⋰*⋻3001≳⇉⋰*⋻3365=NaN","layer":3},{"info":"⋰*⋻3364⫌⩉⩟⋰*⋻627A=⋰*⋻-46","layer":3},{"info":"NaN⪬⋰*⋻-46=⋰*⋻A22","layer":2},{"info":"⋰*⋻-62∼⋰*⋻A22=NaN","layer":1},{"info":"⋰*⋻-70A04984⪉⨛NaN=NaN","layer":0}]}
{"id":153,"expression_no_base_symbol":"(($5594$⨂≜$1039$∠↢$5728$⨐⩸⫘$3430$)⋣⋖((⨦⪝$2166$)⩇∃⫛$5345$⇷$2005$))⪬(($1357$⇴$7309$⩹$4064$⪄$2516$)⩍⋽⫝̸($4670$⫃⨇$5777$)≌($3017$⫍⨯↯))","expression":"((⋰*⋻4226⨂≜⋰*⋻865∠↢⋰*⋻4338⨐⩸⫘⋰*⋻2639)⋣⋖((⨦⪝⋰*⋻169A)⩇∃⫛⋰*⋻401A⇷⋰*⋻1563))⪬((⋰*⋻1024⇴⋰*⋻5545⩹⋰*⋻3065⪄⋰*⋻1988)⩍⋽⫝̸(⋰*⋻3566⫃⨇⋰*⋻4382)≌(⋰*⋻22A3⫍⨯↯))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":84352,"operation_count":15,"complexity_ratio":5623.466666666666,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5594,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5728,"base":11},"right_expr":{"type":"numeric_atoms","value":3430,"base":11}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2166,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5345,"base":11},"right_expr":{"type":"numeric_atoms","value":2005,"base":11}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1357,"base":11},"right_expr":{"type":"numeric_atoms","value":7309,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4064,"base":11},"right_expr":{"type":"numeric_atoms","value":2516,"base":11}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4670,"base":11},"right_expr":{"type":"numeric_atoms","value":5777,"base":11}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":3017,"base":11}}}}},"used_operators":["Ez1Nq5fNfI","J0M6qkBnIM","KbjG8mgYpV","k1SHOSEABc","fu6greOZ01","1aApVXNlOP","SUjycxNXIR","mp7IySMOzn","BiWNJpBvwn","2Wsdkap16l","4JB6nKBMSY","SUmda5xLS4","lyWz822IDG","09Ly4LVMIf","ZcwmYACASQ"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","3ViojmjbAp","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","sdazOOVcIp","NTOWxs364D","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5594","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=5594, right_input=1039, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5728","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=5728, right_input=3430, 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 = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=2166","layer":4},{"info":"compute unary expreesion, input=2166, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=5345","layer":4},{"info":"number node, value=2005","layer":4},{"info":"compute binary expreesion, left_input=5345, right_input=2005, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4010","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=4010, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1884, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"number node, value=1357","layer":4},{"info":"number node, value=7309","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=7309, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=22374","layer":3},{"info":"number node, value=4064","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=4064, right_input=2516, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-607625","layer":3},{"info":"compute binary expreesion, left_input=22374, right_input=-607625, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-607627","layer":2},{"info":"number node, value=4670","layer":4},{"info":"number node, value=5777","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=5777, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-23140","layer":3},{"info":"number node, value=3017","layer":4},{"info":"compute unary expreesion, input=3017, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=2984","layer":3},{"info":"compute binary expreesion, left_input=-23140, right_input=2984, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-607627, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4226⨂≜⋰*⋻865∠↢⋰*⋻4338⨐⩸⫘⋰*⋻2639)⋣⋖((⨦⪝⋰*⋻169A)⩇∃⫛⋰*⋻401A⇷⋰*⋻1563))⪬((⋰*⋻1024⇴⋰*⋻5545⩹⋰*⋻3065⪄⋰*⋻1988)⩍⋽⫝̸(⋰*⋻3566⫃⨇⋰*⋻4382)≌(⋰*⋻22A3⫍⨯↯))=⋰*⋻A22","reverse_text":"⋰*⋻A22=((⋰*⋻4226⨂≜⋰*⋻865∠↢⋰*⋻4338⨐⩸⫘⋰*⋻2639)⋣⋖((⨦⪝⋰*⋻169A)⩇∃⫛⋰*⋻401A⇷⋰*⋻1563))⪬((⋰*⋻1024⇴⋰*⋻5545⩹⋰*⋻3065⪄⋰*⋻1988)⩍⋽⫝̸(⋰*⋻3566⫃⨇⋰*⋻4382)≌(⋰*⋻22A3⫍⨯↯))","cot":[{"info":"⋰*⋻4226⨂≜⋰*⋻865=NaN","layer":3},{"info":"⋰*⋻4338⨐⩸⫘⋰*⋻2639=NaN","layer":3},{"info":"NaN∠↢NaN=NaN","layer":2},{"info":"⨦⪝⋰*⋻169A=⋰*⋻-1463","layer":3},{"info":"⋰*⋻401A⇷⋰*⋻1563=⋰*⋻3016","layer":3},{"info":"⋰*⋻-1463⩇∃⫛⋰*⋻3016=⋰*⋻-1463","layer":2},{"info":"NaN⋣⋖⋰*⋻-1463=NaN","layer":1},{"info":"⋰*⋻1024⇴⋰*⋻5545=⋰*⋻158A0","layer":3},{"info":"⋰*⋻3065⪄⋰*⋻1988=⋰*⋻-385577","layer":3},{"info":"⋰*⋻158A0⩹⋰*⋻-385577=⋰*⋻-385579","layer":2},{"info":"⋰*⋻3566⫃⨇⋰*⋻4382=⋰*⋻-16427","layer":3},{"info":"⋰*⋻22A3⫍⨯↯=⋰*⋻2273","layer":3},{"info":"⋰*⋻-16427≌⋰*⋻2273=NaN","layer":2},{"info":"⋰*⋻-385579⩍⋽⫝̸NaN=NaN","layer":1},{"info":"NaN⪬NaN=⋰*⋻A22","layer":0}]}
{"id":154,"expression_no_base_symbol":"(($2053$⨚⇆$1026$∟)⩹(($1332$⫽⇹≛)⨘⋶⪀))≹⇙⪍(($1021$⊬⨰$3039$)≁↽≥($5467$≌$4788$)↛⩡⫤)","expression":"((⋰*⋻15A7⨚⇆⋰*⋻853∟)⩹((⋰*⋻1001⫽⇹≛)⨘⋶⪀))≹⇙⪍((⋰*⋻849⊬⨰⋰*⋻2313)≁↽≥(⋰*⋻4120≌⋰*⋻3663)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19585,"operation_count":10,"complexity_ratio":1958.5,"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":2053,"base":11},"right_expr":{"type":"numeric_atoms","value":1026,"base":11}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":1332,"base":11}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1021,"base":11},"right_expr":{"type":"numeric_atoms","value":3039,"base":11}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5467,"base":11},"right_expr":{"type":"numeric_atoms","value":4788,"base":11}}}}},"used_operators":["AHs5Up7iyr","2Wsdkap16l","hTbEZDJLEm","lwHaAYXP2r","XVKwrhznBb","NNaDxxp6OQ","FU0Cs4j7VP","ncHt1X6cMc","s3Fd5m9Dh2","lyWz822IDG"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2053","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=1026, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=nan","layer":2},{"info":"number node, value=1332","layer":4},{"info":"compute unary expreesion, input=1332, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute unary expreesion, input=272, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=1021","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=3039, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12121","layer":3},{"info":"number node, value=5467","layer":4},{"info":"number node, value=4788","layer":4},{"info":"compute binary expreesion, left_input=5467, right_input=4788, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12121, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=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":11,"result_base":11,"text":"((⋰*⋻15A7⨚⇆⋰*⋻853∟)⩹((⋰*⋻1001⫽⇹≛)⨘⋶⪀))≹⇙⪍((⋰*⋻849⊬⨰⋰*⋻2313)≁↽≥(⋰*⋻4120≌⋰*⋻3663)↛⩡⫤)=NaN","reverse_text":"NaN=((⋰*⋻15A7⨚⇆⋰*⋻853∟)⩹((⋰*⋻1001⫽⇹≛)⨘⋶⪀))≹⇙⪍((⋰*⋻849⊬⨰⋰*⋻2313)≁↽≥(⋰*⋻4120≌⋰*⋻3663)↛⩡⫤)","cot":[{"info":"⋰*⋻15A7⨚⇆⋰*⋻853=NaN","layer":3},{"info":"NaN∟=NaN","layer":2},{"info":"⋰*⋻1001⫽⇹≛=⋰*⋻228","layer":3},{"info":"⋰*⋻228⨘⋶⪀=NaN","layer":2},{"info":"NaN⩹NaN=NaN","layer":1},{"info":"⋰*⋻849⊬⨰⋰*⋻2313=⋰*⋻911A","layer":3},{"info":"⋰*⋻4120≌⋰*⋻3663=NaN","layer":3},{"info":"⋰*⋻911A≁↽≥NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"((≯$1495$≁$3117$)⫡⨏(↓⇌$1911$)⩼⇪↪(⋃$1627$))⨜⨶(($3898$/$1486$)⨰$4311$⨪↰⇹$3778$≬⋮($3828$⫃⨇$7743$)⊋≦⊧($1749$⩵∡$1754$))","expression":"((≯⋰*⋻113A≁⋰*⋻2384)⫡⨏(↓⇌⋰*⋻1488)⩼⇪↪(⋃⋰*⋻124A))⨜⨶((⋰*⋻2A24/⋰*⋻1131)⨰⋰*⋻326A⨪↰⇹⋰*⋻2925≬⋮(⋰*⋻2970⫃⨇⋰*⋻58AA)⊋≦⊧(⋰*⋻1350⩵∡⋰*⋻1355))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4494,"operation_count":14,"complexity_ratio":321.0,"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":1495,"base":11},"right_expr":{"type":"numeric_atoms","value":3117,"base":11}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1911,"base":11}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1627,"base":11}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3898,"base":11},"right_expr":{"type":"numeric_atoms","value":1486,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4311,"base":11},"right_expr":{"type":"numeric_atoms","value":3778,"base":11}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3828,"base":11},"right_expr":{"type":"numeric_atoms","value":7743,"base":11}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1749,"base":11},"right_expr":{"type":"numeric_atoms","value":1754,"base":11}}}}},"used_operators":["HiPekx5b7W","QMFrweE19q","keWfFq85dY","8N2wDY1A35","ocnLzx9CaJ","PxpmPgHHJV","3mBM5G4a3l","kbkesczE7y","eewbuw0ToL","XhwjNDsVaA","tmPS8pqC7x","oRDoc9rAEX","09Ly4LVMIf","Y7wcNGrDQJ"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","JLbD19bQDL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","g55IO6H4Gj","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⋰*⋻-1126","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1495","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=3117, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=61607","layer":3},{"info":"compute unary expreesion, input=61607, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1911","layer":4},{"info":"compute unary expreesion, input=1911, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1911","layer":3},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3356","layer":3},{"info":"compute binary expreesion, left_input=1911, right_input=3356, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-20453","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-20453, 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=-40123","layer":1},{"info":"number node, value=3898","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=3898, right_input=1486, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=4311","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=4311, right_input=3778, 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=4311","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=4311, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4299","layer":2},{"info":"number node, value=3828","layer":4},{"info":"number node, value=7743","layer":4},{"info":"compute binary expreesion, left_input=3828, right_input=7743, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-31004","layer":3},{"info":"number node, value=1749","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=1754, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1865","layer":3},{"info":"compute binary expreesion, left_input=-31004, right_input=-1865, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=-4299, right_input=192, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-40123, right_input=868, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1480","layer":0}],"base":11,"result_base":11,"text":"((≯⋰*⋻113A≁⋰*⋻2384)⫡⨏(↓⇌⋰*⋻1488)⩼⇪↪(⋃⋰*⋻124A))⨜⨶((⋰*⋻2A24/⋰*⋻1131)⨰⋰*⋻326A⨪↰⇹⋰*⋻2925≬⋮(⋰*⋻2970⫃⨇⋰*⋻58AA)⊋≦⊧(⋰*⋻1350⩵∡⋰*⋻1355))=⋰*⋻-1126","reverse_text":"⋰*⋻-1126=((≯⋰*⋻113A≁⋰*⋻2384)⫡⨏(↓⇌⋰*⋻1488)⩼⇪↪(⋃⋰*⋻124A))⨜⨶((⋰*⋻2A24/⋰*⋻1131)⨰⋰*⋻326A⨪↰⇹⋰*⋻2925≬⋮(⋰*⋻2970⫃⨇⋰*⋻58AA)⊋≦⊧(⋰*⋻1350⩵∡⋰*⋻1355))","cot":[{"info":"⋰*⋻113A≁⋰*⋻2384=⋰*⋻42317","layer":3},{"info":"≯⋰*⋻42317=⋰*⋻0","layer":2},{"info":"↓⇌⋰*⋻1488=⋰*⋻1488","layer":3},{"info":"⋃⋰*⋻124A=⋰*⋻2581","layer":3},{"info":"⋰*⋻1488⩼⇪↪⋰*⋻2581=⋰*⋻-14404","layer":2},{"info":"⋰*⋻0⫡⨏⋰*⋻-14404=⋰*⋻-28166","layer":1},{"info":"⋰*⋻2A24/⋰*⋻1131=⋰*⋻2","layer":3},{"info":"⋰*⋻326A⨪↰⇹⋰*⋻2925=⋰*⋻326A","layer":3},{"info":"⋰*⋻2⨰⋰*⋻326A=⋰*⋻-3259","layer":2},{"info":"⋰*⋻2970⫃⨇⋰*⋻58AA=⋰*⋻-21326","layer":3},{"info":"⋰*⋻1350⩵∡⋰*⋻1355=⋰*⋻-1446","layer":3},{"info":"⋰*⋻-21326⊋≦⊧⋰*⋻-1446=⋰*⋻165","layer":2},{"info":"⋰*⋻-3259≬⋮⋰*⋻165=⋰*⋻71A","layer":1},{"info":"⋰*⋻-28166⨜⨶⋰*⋻71A=⋰*⋻-1126","layer":0}]}
{"id":156,"expression_no_base_symbol":"(($1341$⋅⇍$2887$)⨪↰⇹$7195$↼⊘⨖$1087$⇼⇔∾(⪝⪂⫅$4417$)⪛⫼$3102$∴$1330$)≃(($1004$⨐⩸⫘$4326$)∌↝(∓$2576$))⪢(($1109$∩⋅)⊦⊿)","expression":"((⋰*⋻100A⋅⇍⋰*⋻2195)⨪↰⇹⋰*⋻5451↼⊘⨖⋰*⋻8A9⇼⇔∾(⪝⪂⫅⋰*⋻3356)⪛⫼⋰*⋻2370∴⋰*⋻AAA)≃((⋰*⋻833⨐⩸⫘⋰*⋻3283)∌↝(∓⋰*⋻1A32))⪢((⋰*⋻919∩⋅)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15947,"operation_count":14,"complexity_ratio":1139.0714285714287,"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":1341,"base":11},"right_expr":{"type":"numeric_atoms","value":2887,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":7195,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4417,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3102,"base":11},"right_expr":{"type":"numeric_atoms","value":1330,"base":11}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1004,"base":11},"right_expr":{"type":"numeric_atoms","value":4326,"base":11}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2576,"base":11}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1109,"base":11}}}}},"used_operators":["YbVcJGFEVW","tifHPKVTfV","tmPS8pqC7x","AdZkA7nFnk","bPywburJMS","hyuBjUqXlG","XTarYq4gQB","hrf7POJlIJ","dWAJyo7jo9","9Isq31Ruls","fu6greOZ01","OwUj7dcsQK","14qkJME0vr","2MzE1hQ0cz"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9HNa5Wba9A","8w2t5hMYqp","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","k8jYdgA6NY","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","3ViojmjbAp","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF"],"result":"⋰*⋻63","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1341","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=2887, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=7195","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=7195, right_input=1087, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1952","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=1952, 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=-22","layer":2},{"info":"number node, value=4417","layer":4},{"info":"compute unary expreesion, input=4417, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-649299","layer":3},{"info":"number node, value=3102","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=1330, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7852","layer":3},{"info":"compute binary expreesion, left_input=-649299, right_input=7852, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=968, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=990","layer":1},{"info":"number node, value=1004","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=4326, 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=2576","layer":4},{"info":"compute unary expreesion, input=2576, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-43512","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-43512, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":2},{"info":"number node, value=1109","layer":4},{"info":"compute unary expreesion, input=1109, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-988","layer":3},{"info":"compute unary expreesion, input=-988, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=2885","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2885, 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=990, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻100A⋅⇍⋰*⋻2195)⨪↰⇹⋰*⋻5451↼⊘⨖⋰*⋻8A9⇼⇔∾(⪝⪂⫅⋰*⋻3356)⪛⫼⋰*⋻2370∴⋰*⋻AAA)≃((⋰*⋻833⨐⩸⫘⋰*⋻3283)∌↝(∓⋰*⋻1A32))⪢((⋰*⋻919∩⋅)⊦⊿)=⋰*⋻63","reverse_text":"⋰*⋻63=((⋰*⋻100A⋅⇍⋰*⋻2195)⨪↰⇹⋰*⋻5451↼⊘⨖⋰*⋻8A9⇼⇔∾(⪝⪂⫅⋰*⋻3356)⪛⫼⋰*⋻2370∴⋰*⋻AAA)≃((⋰*⋻833⨐⩸⫘⋰*⋻3283)∌↝(∓⋰*⋻1A32))⪢((⋰*⋻919∩⋅)⊦⊿)","cot":[{"info":"⋰*⋻100A⋅⇍⋰*⋻2195=⋰*⋻-20","layer":3},{"info":"⋰*⋻5451↼⊘⨖⋰*⋻8A9=⋰*⋻1515","layer":3},{"info":"⋰*⋻-20⨪↰⇹⋰*⋻1515=⋰*⋻-20","layer":2},{"info":"⪝⪂⫅⋰*⋻3356=⋰*⋻-403912","layer":3},{"info":"⋰*⋻2370∴⋰*⋻AAA=⋰*⋻5999","layer":3},{"info":"⋰*⋻-403912⪛⫼⋰*⋻5999=⋰*⋻800","layer":2},{"info":"⋰*⋻-20⇼⇔∾⋰*⋻800=⋰*⋻820","layer":1},{"info":"⋰*⋻833⨐⩸⫘⋰*⋻3283=NaN","layer":3},{"info":"∓⋰*⋻1A32=⋰*⋻-2A767","layer":3},{"info":"NaN∌↝⋰*⋻-2A767=NaN","layer":2},{"info":"⋰*⋻919∩⋅=⋰*⋻-819","layer":3},{"info":"⋰*⋻-819⊦⊿=⋰*⋻2193","layer":2},{"info":"NaN⪢⋰*⋻2193=NaN","layer":1},{"info":"⋰*⋻820≃NaN=⋰*⋻63","layer":0}]}
{"id":157,"expression_no_base_symbol":"((≪($1304$⪢$2741$))⋭≵($5270$⫘$1887$)≴⪞⇿($2367$⫰⋱$3560$))↑","expression":"((≪(⋰*⋻A86⪢⋰*⋻2072))⋭≵(⋰*⋻3A61⫘⋰*⋻1466)≴⪞⇿(⋰*⋻1862⫰⋱⋰*⋻2747))↑","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6210007,"operation_count":7,"complexity_ratio":887143.8571428572,"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":1304,"base":11},"right_expr":{"type":"numeric_atoms","value":2741,"base":11}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5270,"base":11},"right_expr":{"type":"numeric_atoms","value":1887,"base":11}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2367,"base":11},"right_expr":{"type":"numeric_atoms","value":3560,"base":11}}}}},"used_operators":["BThhyOhh10","jBncVCNhdl","Qtd6bqUJcN","dWAJyo7jo9","lvlrscuwVU","48vC8HMD2b","6o9Blt3TJ6"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","k8jYdgA6NY","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⋰*⋻192","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1304","layer":4},{"info":"number node, value=2741","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=2741, 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 = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"number node, value=5270","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=5270, right_input=1887, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6201925","layer":3},{"info":"number node, value=2367","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=2367, right_input=3560, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2334","layer":3},{"info":"compute binary expreesion, left_input=6201925, right_input=-2334, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=inf, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=4443","layer":1},{"info":"compute unary expreesion, input=4443, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":0}],"base":11,"result_base":11,"text":"((≪(⋰*⋻A86⪢⋰*⋻2072))⋭≵(⋰*⋻3A61⫘⋰*⋻1466)≴⪞⇿(⋰*⋻1862⫰⋱⋰*⋻2747))↑=⋰*⋻192","reverse_text":"⋰*⋻192=((≪(⋰*⋻A86⪢⋰*⋻2072))⋭≵(⋰*⋻3A61⫘⋰*⋻1466)≴⪞⇿(⋰*⋻1862⫰⋱⋰*⋻2747))↑","cot":[{"info":"⋰*⋻A86⪢⋰*⋻2072=NaN","layer":3},{"info":"≪NaN=⋰*⋻760","layer":2},{"info":"⋰*⋻3A61⫘⋰*⋻1466=⋰*⋻3556664","layer":3},{"info":"⋰*⋻1862⫰⋱⋰*⋻2747=⋰*⋻-1832","layer":3},{"info":"⋰*⋻3556664≴⪞⇿⋰*⋻-1832=Inf","layer":2},{"info":"⋰*⋻760⋭≵Inf=⋰*⋻337A","layer":1},{"info":"⋰*⋻337A↑=⋰*⋻192","layer":0}]}
{"id":158,"expression_no_base_symbol":"((⫶⊄≣$1150$)⇄($1957$⊅)∠⫱(($2651$⨔≚≋$1143$)∵≐))⫉⨲⊜(($1193$⨸⪁$6336$)⋕⪉⪜(⊤⊝$2427$)∼($4129$≎⪠$7134$⊍))","expression":"((⫶⊄≣⋰*⋻956)⇄(⋰*⋻151A⊅)∠⫱((⋰*⋻1AA0⨔≚≋⋰*⋻94A)∵≐))⫉⨲⊜((⋰*⋻995⨸⪁⋰*⋻4840)⋕⪉⪜(⊤⊝⋰*⋻1907)∼(⋰*⋻3114≎⪠⋰*⋻53A6⊍))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20617,"operation_count":13,"complexity_ratio":1585.923076923077,"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":1150,"base":11}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1957,"base":11}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2651,"base":11},"right_expr":{"type":"numeric_atoms","value":1143,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1193,"base":11},"right_expr":{"type":"numeric_atoms","value":6336,"base":11}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2427,"base":11}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4129,"base":11},"right_expr":{"type":"numeric_atoms","value":7134,"base":11}}}}},"used_operators":["WhqkvtTD3t","QvoQhV0rrE","3EYGwJThht","wxb3vTeyAj","7p6YLioM7f","59igzFyhWz","Z57zeUYC9z","DyGG3AbaNP","z6LnFrNh4i","g55IO6H4Gj","rXAclfmB4M","3nqY3DE9mg","aNhz54LH3e"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","sdazOOVcIp","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1150","layer":4},{"info":"compute unary expreesion, input=1150, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=23822389","layer":3},{"info":"number node, value=1957","layer":4},{"info":"compute unary expreesion, input=1957, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=23822389, right_input=-174, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=2651","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=2651, right_input=1143, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=8926","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8926, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"number node, value=1193","layer":4},{"info":"number node, value=6336","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=6336, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15058","layer":3},{"info":"number node, value=2427","layer":4},{"info":"compute unary expreesion, input=2427, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=3556","layer":3},{"info":"compute binary expreesion, left_input=15058, right_input=3556, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=4129","layer":4},{"info":"number node, value=7134","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=7134, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=56994","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=56994, 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=1234, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⫶⊄≣⋰*⋻956)⇄(⋰*⋻151A⊅)∠⫱((⋰*⋻1AA0⨔≚≋⋰*⋻94A)∵≐))⫉⨲⊜((⋰*⋻995⨸⪁⋰*⋻4840)⋕⪉⪜(⊤⊝⋰*⋻1907)∼(⋰*⋻3114≎⪠⋰*⋻53A6⊍))=⋰*⋻0","reverse_text":"⋰*⋻0=((⫶⊄≣⋰*⋻956)⇄(⋰*⋻151A⊅)∠⫱((⋰*⋻1AA0⨔≚≋⋰*⋻94A)∵≐))⫉⨲⊜((⋰*⋻995⨸⪁⋰*⋻4840)⋕⪉⪜(⊤⊝⋰*⋻1907)∼(⋰*⋻3114≎⪠⋰*⋻53A6⊍))","cot":[{"info":"⫶⊄≣⋰*⋻956=⋰*⋻124A1128","layer":3},{"info":"⋰*⋻151A⊅=⋰*⋻-149","layer":3},{"info":"⋰*⋻124A1128⇄⋰*⋻-149=⋰*⋻0","layer":2},{"info":"⋰*⋻1AA0⨔≚≋⋰*⋻94A=⋰*⋻7465","layer":3},{"info":"⋰*⋻7465∵≐=⋰*⋻6785","layer":2},{"info":"⋰*⋻0∠⫱⋰*⋻6785=⋰*⋻A22","layer":1},{"info":"⋰*⋻995⨸⪁⋰*⋻4840=⋰*⋻1034A","layer":3},{"info":"⊤⊝⋰*⋻1907=⋰*⋻2743","layer":3},{"info":"⋰*⋻1034A⋕⪉⪜⋰*⋻2743=⋰*⋻2118","layer":2},{"info":"⋰*⋻3114≎⪠⋰*⋻53A6=⋰*⋻13770","layer":3},{"info":"⋰*⋻13770⊍=⋰*⋻39903","layer":2},{"info":"⋰*⋻2118∼⋰*⋻39903=NaN","layer":1},{"info":"⋰*⋻A22⫉⨲⊜NaN=⋰*⋻0","layer":0}]}
{"id":159,"expression_no_base_symbol":"((≅≯⇸$1172$)⫢⨠(↘$2226$))⫗⊷⫓($4281$⨑⩅≇$1103$⨒(≇⪴$1112$))⫒⫫(($2805$↸$1895$)≳⇉$1716$⪪$1476$%$4249$≒∊$2094$⫢⨠($3187$⊹∫⫚$4309$))","expression":"((≅≯⇸⋰*⋻976)⫢⨠(↘⋰*⋻1744))⫗⊷⫓(⋰*⋻3242⨑⩅≇⋰*⋻913⨒(≇⪴⋰*⋻921))⫒⫫((⋰*⋻2120↸⋰*⋻1473)≳⇉⋰*⋻1320⪪⋰*⋻1122%⋰*⋻3213≒∊⋰*⋻1634⫢⨠(⋰*⋻2438⊹∫⫚⋰*⋻3268))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":544757,"operation_count":15,"complexity_ratio":36317.13333333333,"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":1172,"base":11}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2226,"base":11}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4281,"base":11},"right_expr":{"type":"numeric_atoms","value":1103,"base":11}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1112,"base":11}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2805,"base":11},"right_expr":{"type":"numeric_atoms","value":1895,"base":11}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1716,"base":11},"right_expr":{"type":"numeric_atoms","value":1476,"base":11}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":4249,"base":11},"right_expr":{"type":"numeric_atoms","value":2094,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3187,"base":11},"right_expr":{"type":"numeric_atoms","value":4309,"base":11}}}}},"used_operators":["6Ko8hGgeMq","zashukvMKz","xlXykHWxX1","apS25hmuAe","LdNpr8hQHL","y75s1iXyHd","h92wMvzauj","zoVPnxeHJ3","k8jYdgA6NY","V0kx6qeWkN","1eCjFl0mb9","xD69zh8xqp","5KTvxBwnZo","uWAJUKEvyW"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","EBcxylXtPf","QMFrweE19q","uFcxV4UQCh","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","FU0Cs4j7VP","JclMnS0uGI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1172","layer":4},{"info":"compute unary expreesion, input=1172, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=12365","layer":3},{"info":"number node, value=2226","layer":4},{"info":"compute unary expreesion, input=2226, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=266","layer":3},{"info":"compute binary expreesion, left_input=12365, right_input=266, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=4281","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=4281, right_input=1103, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-12843","layer":3},{"info":"number node, value=1112","layer":4},{"info":"compute unary expreesion, input=1112, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1996","layer":3},{"info":"compute binary expreesion, left_input=-12843, right_input=-1996, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=nan","layer":1},{"info":"number node, value=2805","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=1895, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2805","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=1476, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-255205","layer":3},{"info":"compute binary expreesion, left_input=2805, right_input=-255205, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=4249","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=2094, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3765","layer":3},{"info":"number node, value=3187","layer":4},{"info":"number node, value=4309","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=4309, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-188","layer":3},{"info":"compute binary expreesion, left_input=-3765, right_input=-188, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=30354","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30354, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≅≯⇸⋰*⋻976)⫢⨠(↘⋰*⋻1744))⫗⊷⫓(⋰*⋻3242⨑⩅≇⋰*⋻913⨒(≇⪴⋰*⋻921))⫒⫫((⋰*⋻2120↸⋰*⋻1473)≳⇉⋰*⋻1320⪪⋰*⋻1122%⋰*⋻3213≒∊⋰*⋻1634⫢⨠(⋰*⋻2438⊹∫⫚⋰*⋻3268))=NaN","reverse_text":"NaN=((≅≯⇸⋰*⋻976)⫢⨠(↘⋰*⋻1744))⫗⊷⫓(⋰*⋻3242⨑⩅≇⋰*⋻913⨒(≇⪴⋰*⋻921))⫒⫫((⋰*⋻2120↸⋰*⋻1473)≳⇉⋰*⋻1320⪪⋰*⋻1122%⋰*⋻3213≒∊⋰*⋻1634⫢⨠(⋰*⋻2438⊹∫⫚⋰*⋻3268))","cot":[{"info":"≅≯⇸⋰*⋻976=⋰*⋻9321","layer":3},{"info":"↘⋰*⋻1744=⋰*⋻222","layer":3},{"info":"⋰*⋻9321⫢⨠⋰*⋻222=⋰*⋻136","layer":2},{"info":"⋰*⋻3242⨑⩅≇⋰*⋻913=⋰*⋻-9716","layer":3},{"info":"≇⪴⋰*⋻921=⋰*⋻-1555","layer":3},{"info":"⋰*⋻-9716⨒⋰*⋻-1555=⋰*⋻1","layer":2},{"info":"⋰*⋻136⫗⊷⫓⋰*⋻1=NaN","layer":1},{"info":"⋰*⋻2120↸⋰*⋻1473=⋰*⋻2120","layer":3},{"info":"⋰*⋻1320⪪⋰*⋻1122=⋰*⋻-164815","layer":3},{"info":"⋰*⋻2120≳⇉⋰*⋻-164815=NaN","layer":2},{"info":"⋰*⋻3213≒∊⋰*⋻1634=⋰*⋻-2913","layer":3},{"info":"⋰*⋻2438⊹∫⫚⋰*⋻3268=⋰*⋻-161","layer":3},{"info":"⋰*⋻-2913⫢⨠⋰*⋻-161=⋰*⋻20895","layer":2},{"info":"NaN%⋰*⋻20895=NaN","layer":1},{"info":"NaN⫒⫫NaN=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"(($1421$⊋≦⊧$1345$)↓($2044$⩧⪆$1180$)⩍⋽⫝̸($4332$∓⋝$1364$+⇶⊼(⊲⪭$3384$)))⨥⫆(($1807$⫃⨇$1166$)↺$2896$≝⊿$1227$∕⩚($3803$⋷$5177$)∲⫓$1338$⫞⩸⩒$3007$)","expression":"((⋰*⋻1082⊋≦⊧⋰*⋻1013)↓(⋰*⋻1599⩧⪆⋰*⋻983)⩍⋽⫝̸(⋰*⋻3289∓⋝⋰*⋻1030+⇶⊼(⊲⪭⋰*⋻25A7)))⨥⫆((⋰*⋻13A3⫃⨇⋰*⋻970)↺⋰*⋻21A3≝⊿⋰*⋻A16∕⩚(⋰*⋻2948⋷⋰*⋻3987)∲⫓⋰*⋻1007⫞⩸⩒⋰*⋻2294)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16950,"operation_count":15,"complexity_ratio":1130.0,"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":1421,"base":11},"right_expr":{"type":"numeric_atoms","value":1345,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2044,"base":11},"right_expr":{"type":"numeric_atoms","value":1180,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4332,"base":11},"right_expr":{"type":"numeric_atoms","value":1364,"base":11}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3384,"base":11}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1807,"base":11},"right_expr":{"type":"numeric_atoms","value":1166,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2896,"base":11},"right_expr":{"type":"numeric_atoms","value":1227,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3803,"base":11},"right_expr":{"type":"numeric_atoms","value":5177,"base":11}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1338,"base":11},"right_expr":{"type":"numeric_atoms","value":3007,"base":11}}}}},"used_operators":["yXekIHxTD4","BiWNJpBvwn","Af076pWI7l","oRDoc9rAEX","Ikt5ks8PT7","TpPTUOHfaN","PoHhknlbAi","k7HXdKtiEU","z9ffQ9n5Zr","7j4O788W3g","09Ly4LVMIf","OKKcZfAt5B","i8ToyICDmI","23Mk6UjR3U","XGcMNugi78"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eewbuw0ToL","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","i8ToyICDmI","xUOZtlo3hN","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1345, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2450","layer":3},{"info":"number node, value=2044","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=1180, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1180","layer":3},{"info":"compute binary expreesion, left_input=-2450, right_input=-1180, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=4332","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=1364, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3384","layer":4},{"info":"compute unary expreesion, input=3384, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3558","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-3558, 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=-134, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"number node, value=1807","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=1166, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4696","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=1227, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5883","layer":3},{"info":"compute binary expreesion, left_input=-4696, right_input=-5883, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5883","layer":2},{"info":"number node, value=3803","layer":4},{"info":"number node, value=5177","layer":4},{"info":"compute binary expreesion, left_input=3803, right_input=5177, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6551","layer":3},{"info":"number node, value=1338","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=3007, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3007","layer":3},{"info":"compute binary expreesion, left_input=6551, right_input=3007, 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=-5883, right_input=0, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-487, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1082⊋≦⊧⋰*⋻1013)↓(⋰*⋻1599⩧⪆⋰*⋻983)⩍⋽⫝̸(⋰*⋻3289∓⋝⋰*⋻1030+⇶⊼(⊲⪭⋰*⋻25A7)))⨥⫆((⋰*⋻13A3⫃⨇⋰*⋻970)↺⋰*⋻21A3≝⊿⋰*⋻A16∕⩚(⋰*⋻2948⋷⋰*⋻3987)∲⫓⋰*⋻1007⫞⩸⩒⋰*⋻2294)=NaN","reverse_text":"NaN=((⋰*⋻1082⊋≦⊧⋰*⋻1013)↓(⋰*⋻1599⩧⪆⋰*⋻983)⩍⋽⫝̸(⋰*⋻3289∓⋝⋰*⋻1030+⇶⊼(⊲⪭⋰*⋻25A7)))⨥⫆((⋰*⋻13A3⫃⨇⋰*⋻970)↺⋰*⋻21A3≝⊿⋰*⋻A16∕⩚(⋰*⋻2948⋷⋰*⋻3987)∲⫓⋰*⋻1007⫞⩸⩒⋰*⋻2294)","cot":[{"info":"⋰*⋻1082⊋≦⊧⋰*⋻1013=⋰*⋻-1928","layer":3},{"info":"⋰*⋻1599⩧⪆⋰*⋻983=⋰*⋻-983","layer":3},{"info":"⋰*⋻-1928↓⋰*⋻-983=⋰*⋻-112","layer":2},{"info":"⋰*⋻3289∓⋝⋰*⋻1030=⋰*⋻61","layer":3},{"info":"⊲⪭⋰*⋻25A7=⋰*⋻-2745","layer":3},{"info":"⋰*⋻61+⇶⊼⋰*⋻-2745=NaN","layer":2},{"info":"⋰*⋻-112⩍⋽⫝̸NaN=NaN","layer":1},{"info":"⋰*⋻13A3⫃⨇⋰*⋻970=⋰*⋻-358A","layer":3},{"info":"⋰*⋻21A3≝⊿⋰*⋻A16=⋰*⋻-4469","layer":3},{"info":"⋰*⋻-358A↺⋰*⋻-4469=⋰*⋻-4469","layer":2},{"info":"⋰*⋻2948⋷⋰*⋻3987=⋰*⋻4A16","layer":3},{"info":"⋰*⋻1007⫞⩸⩒⋰*⋻2294=⋰*⋻2294","layer":3},{"info":"⋰*⋻4A16∲⫓⋰*⋻2294=⋰*⋻0","layer":2},{"info":"⋰*⋻-4469∕⩚⋰*⋻0=⋰*⋻-403","layer":1},{"info":"NaN⨥⫆⋰*⋻-403=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"(⫟(≛$4016$))⩺⪪(∜⨇$2147$)↞⋁($3054$⊱⇼⊻$1546$)≀⩗∶($1373$≀⩗∶$1178$)⨪↰⇹$1176$⪃⊛⇣$1661$⫲≸⪮(⩏⊷≩$3200$)∌($2568$∙⊟$4230$)","expression":"(⫟(≛⋰*⋻3021))⩺⪪(∜⨇⋰*⋻1682)↞⋁(⋰*⋻2327⊱⇼⊻⋰*⋻1186)≀⩗∶(⋰*⋻1039≀⩗∶⋰*⋻981)⨪↰⇹⋰*⋻97A⪃⊛⇣⋰*⋻1280⫲≸⪮(⩏⊷≩⋰*⋻244A)∌(⋰*⋻1A25∙⊟⋰*⋻31A6)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3681,"operation_count":14,"complexity_ratio":262.92857142857144,"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":4016,"base":11}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2147,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3054,"base":11},"right_expr":{"type":"numeric_atoms","value":1546,"base":11}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1373,"base":11},"right_expr":{"type":"numeric_atoms","value":1178,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1176,"base":11},"right_expr":{"type":"numeric_atoms","value":1661,"base":11}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":3200,"base":11}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2568,"base":11},"right_expr":{"type":"numeric_atoms","value":4230,"base":11}}}}},"used_operators":["8INZBEW696","uvdQJvN4PV","z4E1FaHLuy","W7eaUhjymW","RqrPlJkxDo","uFPyJr306J","FyVja0WsTP","P3lXMJvFrc","tmPS8pqC7x","rrgAzCduG9","8cLx32lpNA","uOZ1tnYMDE","SxTAKzQCrw"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rJVOvQCfKK","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4016","layer":4},{"info":"compute unary expreesion, input=4016, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute unary expreesion, input=-10, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=937","layer":2},{"info":"number node, value=2147","layer":4},{"info":"compute unary expreesion, input=2147, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=3054","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=1546, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=434, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=937, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=1373","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=1178, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1176","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1661, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = 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=3200","layer":4},{"info":"compute unary expreesion, input=3200, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=6099","layer":3},{"info":"number node, value=2568","layer":4},{"info":"number node, value=4230","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=4230, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=43230","layer":3},{"info":"compute binary expreesion, left_input=6099, right_input=43230, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-43230","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-43230, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫟(≛⋰*⋻3021))⩺⪪(∜⨇⋰*⋻1682)↞⋁(⋰*⋻2327⊱⇼⊻⋰*⋻1186)≀⩗∶(⋰*⋻1039≀⩗∶⋰*⋻981)⨪↰⇹⋰*⋻97A⪃⊛⇣⋰*⋻1280⫲≸⪮(⩏⊷≩⋰*⋻244A)∌(⋰*⋻1A25∙⊟⋰*⋻31A6)=NaN","reverse_text":"NaN=(⫟(≛⋰*⋻3021))⩺⪪(∜⨇⋰*⋻1682)↞⋁(⋰*⋻2327⊱⇼⊻⋰*⋻1186)≀⩗∶(⋰*⋻1039≀⩗∶⋰*⋻981)⨪↰⇹⋰*⋻97A⪃⊛⇣⋰*⋻1280⫲≸⪮(⩏⊷≩⋰*⋻244A)∌(⋰*⋻1A25∙⊟⋰*⋻31A6)","cot":[{"info":"≛⋰*⋻3021=⋰*⋻-A","layer":3},{"info":"⫟⋰*⋻-A=⋰*⋻782","layer":2},{"info":"∜⨇⋰*⋻1682=NaN","layer":3},{"info":"⋰*⋻2327⊱⇼⊻⋰*⋻1186=⋰*⋻365","layer":3},{"info":"NaN↞⋁⋰*⋻365=NaN","layer":2},{"info":"⋰*⋻782⩺⪪NaN=NaN","layer":1},{"info":"⋰*⋻1039≀⩗∶⋰*⋻981=⋰*⋻0","layer":3},{"info":"⋰*⋻97A⪃⊛⇣⋰*⋻1280=⋰*⋻A22","layer":3},{"info":"⋰*⋻0⨪↰⇹⋰*⋻A22=⋰*⋻0","layer":2},{"info":"⩏⊷≩⋰*⋻244A=⋰*⋻4645","layer":3},{"info":"⋰*⋻1A25∙⊟⋰*⋻31A6=⋰*⋻2A530","layer":3},{"info":"⋰*⋻4645∌⋰*⋻2A530=⋰*⋻-2A530","layer":2},{"info":"⋰*⋻0⫲≸⪮⋰*⋻-2A530=⋰*⋻0","layer":1},{"info":"NaN≀⩗∶⋰*⋻0=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"((($1801$↸$3264$)⪛⫼(≦∁$2738$))⇍⊗(($2074$⋆⋳)≓∲(⩷$4209$)))≨($1420$∥⊢⊲$5043$↸$3518$⊋$1007$∙∹∝($8790$⪶≀⋏$5612$)⫒⫫($1393$⨲))","expression":"(((⋰*⋻1398↸⋰*⋻24A8)⪛⫼(≦∁⋰*⋻206A))⇍⊗((⋰*⋻1616⋆⋳)≓∲(⩷⋰*⋻3187)))≨(⋰*⋻1081∥⊢⊲⋰*⋻3875↸⋰*⋻2709⊋⋰*⋻836∙∹∝(⋰*⋻6671⪶≀⋏⋰*⋻4242)⫒⫫(⋰*⋻1057⨲))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":218144,"operation_count":15,"complexity_ratio":14542.933333333332,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1801,"base":11},"right_expr":{"type":"numeric_atoms","value":3264,"base":11}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2738,"base":11}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2074,"base":11}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4209,"base":11}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1420,"base":11},"right_expr":{"type":"numeric_atoms","value":5043,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3518,"base":11},"right_expr":{"type":"numeric_atoms","value":1007,"base":11}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":8790,"base":11},"right_expr":{"type":"numeric_atoms","value":5612,"base":11}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":1393,"base":11}}}}},"used_operators":["0KMCeP1Jsh","5uvYHDjeKN","hyuBjUqXlG","1eCjFl0mb9","9ICcGScMcE","s1XTVnmDOJ","6MpZysEj17","1h0rLqGiFr","HmxsFra2vL","v1UQAVDJRr","W4tP9CfskL","6Ko8hGgeMq","zR4jO40bMj","nLYMGWM7L8"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ"],"result":"⋰*⋻950","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1801","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=3264, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1801","layer":3},{"info":"number node, value=2738","layer":4},{"info":"compute unary expreesion, input=2738, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2738","layer":3},{"info":"compute binary expreesion, left_input=1801, right_input=2738, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=2074","layer":4},{"info":"compute unary expreesion, input=2074, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-4180","layer":3},{"info":"number node, value=4209","layer":4},{"info":"compute unary expreesion, input=4209, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-50587","layer":3},{"info":"compute binary expreesion, left_input=-4180, right_input=-50587, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=67, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=1420","layer":4},{"info":"number node, value=5043","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=5043, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=3518","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=1007, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=18900600","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18900600, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"number node, value=8790","layer":4},{"info":"number node, value=5612","layer":4},{"info":"compute binary expreesion, left_input=8790, right_input=5612, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-37826","layer":3},{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=244406605","layer":3},{"info":"compute binary expreesion, left_input=-37826, right_input=244406605, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=-488624044","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-488624044, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1144","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1398↸⋰*⋻24A8)⪛⫼(≦∁⋰*⋻206A))⇍⊗((⋰*⋻1616⋆⋳)≓∲(⩷⋰*⋻3187)))≨(⋰*⋻1081∥⊢⊲⋰*⋻3875↸⋰*⋻2709⊋⋰*⋻836∙∹∝(⋰*⋻6671⪶≀⋏⋰*⋻4242)⫒⫫(⋰*⋻1057⨲))=⋰*⋻950","reverse_text":"⋰*⋻950=(((⋰*⋻1398↸⋰*⋻24A8)⪛⫼(≦∁⋰*⋻206A))⇍⊗((⋰*⋻1616⋆⋳)≓∲(⩷⋰*⋻3187)))≨(⋰*⋻1081∥⊢⊲⋰*⋻3875↸⋰*⋻2709⊋⋰*⋻836∙∹∝(⋰*⋻6671⪶≀⋏⋰*⋻4242)⫒⫫(⋰*⋻1057⨲))","cot":[{"info":"⋰*⋻1398↸⋰*⋻24A8=⋰*⋻1398","layer":3},{"info":"≦∁⋰*⋻206A=⋰*⋻206A","layer":3},{"info":"⋰*⋻1398⪛⫼⋰*⋻206A=⋰*⋻800","layer":2},{"info":"⋰*⋻1616⋆⋳=⋰*⋻-3160","layer":3},{"info":"⩷⋰*⋻3187=⋰*⋻-35009","layer":3},{"info":"⋰*⋻-3160≓∲⋰*⋻-35009=⋰*⋻61","layer":2},{"info":"⋰*⋻800⇍⊗⋰*⋻61=⋰*⋻-202","layer":1},{"info":"⋰*⋻1081∥⊢⊲⋰*⋻3875=NaN","layer":3},{"info":"⋰*⋻2709⊋⋰*⋻836=⋰*⋻A73A334","layer":3},{"info":"NaN↸⋰*⋻A73A334=NaN","layer":2},{"info":"⋰*⋻6671⪶≀⋏⋰*⋻4242=⋰*⋻-26468","layer":3},{"info":"⋰*⋻1057⨲=⋰*⋻115A63333","layer":3},{"info":"⋰*⋻-26468⫒⫫⋰*⋻115A63333=⋰*⋻-2308A7527","layer":2},{"info":"NaN∙∹∝⋰*⋻-2308A7527=NaN","layer":1},{"info":"⋰*⋻-202≨NaN=⋰*⋻950","layer":0}]}
{"id":163,"expression_no_base_symbol":"(≇⪴($1031$≠≀$1710$))⪛⫼(⪫⨮⊛(≔$1036$))≬⋮($2080$↢$2939$⇷(⇉-⫰$1797$)⊠≄⫣)","expression":"(≇⪴(⋰*⋻858≠≀⋰*⋻1315))⪛⫼(⪫⨮⊛(≔⋰*⋻862))≬⋮(⋰*⋻1621↢⋰*⋻2232⇷(⇉-⫰⋰*⋻1394)⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":536758,"operation_count":10,"complexity_ratio":53675.8,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1031,"base":11},"right_expr":{"type":"numeric_atoms","value":1710,"base":11}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1036,"base":11}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2080,"base":11},"right_expr":{"type":"numeric_atoms","value":2939,"base":11}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1797,"base":11}}}}},"used_operators":["kbkesczE7y","hyuBjUqXlG","zoVPnxeHJ3","IwW236VD4Y","w5FWba1tyO","8FLs4eVsLt","DIvbN7qnHd","mp7IySMOzn","WR6HLWljOP","IGFM8TAlm9"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eH2TOUuTDT","eewbuw0ToL"],"result":"⋰*⋻71A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"number node, value=1710","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1710, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1756","layer":3},{"info":"compute unary expreesion, input=-1756, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7024","layer":2},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-27714","layer":3},{"info":"compute unary expreesion, input=-27714, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7024, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"number node, value=2080","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=2939, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1596","layer":3},{"info":"number node, value=1797","layer":4},{"info":"compute unary expreesion, input=1797, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=1596, right_input=20, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=40","layer":2},{"info":"compute unary expreesion, input=40, 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 = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":11,"result_base":11,"text":"(≇⪴(⋰*⋻858≠≀⋰*⋻1315))⪛⫼(⪫⨮⊛(≔⋰*⋻862))≬⋮(⋰*⋻1621↢⋰*⋻2232⇷(⇉-⫰⋰*⋻1394)⊠≄⫣)=⋰*⋻71A","reverse_text":"⋰*⋻71A=(≇⪴(⋰*⋻858≠≀⋰*⋻1315))⪛⫼(⪫⨮⊛(≔⋰*⋻862))≬⋮(⋰*⋻1621↢⋰*⋻2232⇷(⇉-⫰⋰*⋻1394)⊠≄⫣)","cot":[{"info":"⋰*⋻858≠≀⋰*⋻1315=⋰*⋻-1357","layer":3},{"info":"≇⪴⋰*⋻-1357=⋰*⋻-5306","layer":2},{"info":"≔⋰*⋻862=⋰*⋻-19905","layer":3},{"info":"⪫⨮⊛⋰*⋻-19905=NaN","layer":2},{"info":"⋰*⋻-5306⪛⫼NaN=NaN","layer":1},{"info":"⋰*⋻1621↢⋰*⋻2232=⋰*⋻1221","layer":3},{"info":"⇉-⫰⋰*⋻1394=⋰*⋻19","layer":3},{"info":"⋰*⋻1221⇷⋰*⋻19=⋰*⋻37","layer":2},{"info":"⋰*⋻37⊠≄⫣=⋰*⋻0","layer":1},{"info":"NaN≬⋮⋰*⋻0=⋰*⋻71A","layer":0}]}
{"id":164,"expression_no_base_symbol":"($4288$⊦⊿)≎⪠(≻⋜$2746$)⩦(⇖⫷⫕($3424$⊫∞))∀⇚≩(≉$1318$≚⊃≕$4591$)⩁⩘($1437$⇌⫙⪟$4839$↙(⊖∈$2700$))","expression":"(⋰*⋻3249⊦⊿)≎⪠(≻⋜⋰*⋻2077)⩦(⇖⫷⫕(⋰*⋻2633⊫∞))∀⇚≩(≉⋰*⋻A99≚⊃≕⋰*⋻34A4)⩁⩘(⋰*⋻1097⇌⫙⪟⋰*⋻36AA↙(⊖∈⋰*⋻2035))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":382022,"operation_count":13,"complexity_ratio":29386.30769230769,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4288,"base":11}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2746,"base":11}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":3424,"base":11}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1318,"base":11},"right_expr":{"type":"numeric_atoms","value":4591,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1437,"base":11},"right_expr":{"type":"numeric_atoms","value":4839,"base":11}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2700,"base":11}}}}},"used_operators":["LRNGc0VcxI","0kmYd0q39Y","aNhz54LH3e","14qkJME0vr","3tj9sqzovi","UHmRx3INFg","pABnYW3G3E","gub5Cegaqo","e1ybzncUwg","Bmrmz2XGnR","yyfyN0ffXY","AFVx7xoS7T","YFxL8Sc2Zy"],"dependent_operators":["X99M06cbEe","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4288","layer":4},{"info":"compute unary expreesion, input=4288, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12943","layer":3},{"info":"number node, value=2746","layer":4},{"info":"compute unary expreesion, input=2746, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12943, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=3424","layer":4},{"info":"compute unary expreesion, input=3424, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=2822, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=39116","layer":1},{"info":"number node, value=1318","layer":4},{"info":"number node, value=4591","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=4591, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-14633","layer":3},{"info":"compute unary expreesion, input=-14633, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-14633","layer":2},{"info":"number node, value=1437","layer":4},{"info":"number node, value=4839","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=4839, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=48406","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=48406, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-145218","layer":2},{"info":"compute binary expreesion, left_input=-14633, right_input=-145218, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-579924","layer":1},{"info":"compute binary expreesion, left_input=39116, right_input=-579924, 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":11,"result_base":11,"text":"(⋰*⋻3249⊦⊿)≎⪠(≻⋜⋰*⋻2077)⩦(⇖⫷⫕(⋰*⋻2633⊫∞))∀⇚≩(≉⋰*⋻A99≚⊃≕⋰*⋻34A4)⩁⩘(⋰*⋻1097⇌⫙⪟⋰*⋻36AA↙(⊖∈⋰*⋻2035))=NaN","reverse_text":"NaN=(⋰*⋻3249⊦⊿)≎⪠(≻⋜⋰*⋻2077)⩦(⇖⫷⫕(⋰*⋻2633⊫∞))∀⇚≩(≉⋰*⋻A99≚⊃≕⋰*⋻34A4)⩁⩘(⋰*⋻1097⇌⫙⪟⋰*⋻36AA↙(⊖∈⋰*⋻2035))","cot":[{"info":"⋰*⋻3249⊦⊿=⋰*⋻-97A7","layer":3},{"info":"≻⋜⋰*⋻2077=NaN","layer":3},{"info":"⋰*⋻-97A7≎⪠NaN=⋰*⋻13770","layer":2},{"info":"⋰*⋻2633⊫∞=⋰*⋻0","layer":3},{"info":"⇖⫷⫕⋰*⋻0=⋰*⋻2136","layer":2},{"info":"⋰*⋻13770⩦⋰*⋻2136=⋰*⋻27430","layer":1},{"info":"⋰*⋻A99≚⊃≕⋰*⋻34A4=⋰*⋻-AAA3","layer":3},{"info":"≉⋰*⋻-AAA3=⋰*⋻-AAA3","layer":2},{"info":"⋰*⋻1097⇌⫙⪟⋰*⋻36AA=⋰*⋻A3","layer":3},{"info":"⊖∈⋰*⋻2035=⋰*⋻33406","layer":3},{"info":"⋰*⋻A3↙⋰*⋻33406=⋰*⋻-9A117","layer":2},{"info":"⋰*⋻-AAA3⩁⩘⋰*⋻-9A117=⋰*⋻-366784","layer":1},{"info":"⋰*⋻27430∀⇚≩⋰*⋻-366784=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"(∑⇻≧(⫛⫱⨽$3826$))⨪↰⇹($1381$⨔⇊$1148$↺$1633$⫥∨⫟$2671$)⩹(⋂$4027$)⇂≾⫗$1398$⪃⊛⇣$4574$∺≝⩲(⪭⩑⪱(≻⋜$1068$))","expression":"(∑⇻≧(⫛⫱⨽⋰*⋻2969))⨪↰⇹(⋰*⋻1046⨔⇊⋰*⋻954↺⋰*⋻1255⫥∨⫟⋰*⋻2009)⩹(⋂⋰*⋻3031)⇂≾⫗⋰*⋻1061⪃⊛⇣⋰*⋻3489∺≝⩲(⪭⩑⪱(≻⋜⋰*⋻891))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9517,"operation_count":13,"complexity_ratio":732.0769230769231,"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":3826,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1381,"base":11},"right_expr":{"type":"numeric_atoms","value":1148,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1633,"base":11},"right_expr":{"type":"numeric_atoms","value":2671,"base":11}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":4027,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1398,"base":11},"right_expr":{"type":"numeric_atoms","value":4574,"base":11}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1068,"base":11}}}}},"used_operators":["2Wsdkap16l","tmPS8pqC7x","l1M9WJ3V7u","DlLNRPXxWL","7j4O788W3g","JclMnS0uGI","KYD54nUTWz","KPf6cnQVty","aBQ6xLxuTc","BUOGQAYlQx","rrgAzCduG9","SIgE0bArFf","3tj9sqzovi"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rJVOvQCfKK","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"⋰*⋻134","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3826","layer":4},{"info":"compute unary expreesion, input=3826, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=1381","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=1148, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1148","layer":3},{"info":"number node, value=1633","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=2671, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1148, 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=-852, 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=-852","layer":1},{"info":"number node, value=4027","layer":4},{"info":"compute unary expreesion, input=4027, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-55782","layer":3},{"info":"number node, value=1398","layer":4},{"info":"number node, value=4574","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=4574, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-55782, right_input=1234, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-670, right_input=8320752, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=160, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=158","layer":0}],"base":11,"result_base":11,"text":"(∑⇻≧(⫛⫱⨽⋰*⋻2969))⨪↰⇹(⋰*⋻1046⨔⇊⋰*⋻954↺⋰*⋻1255⫥∨⫟⋰*⋻2009)⩹(⋂⋰*⋻3031)⇂≾⫗⋰*⋻1061⪃⊛⇣⋰*⋻3489∺≝⩲(⪭⩑⪱(≻⋜⋰*⋻891))=⋰*⋻134","reverse_text":"⋰*⋻134=(∑⇻≧(⫛⫱⨽⋰*⋻2969))⨪↰⇹(⋰*⋻1046⨔⇊⋰*⋻954↺⋰*⋻1255⫥∨⫟⋰*⋻2009)⩹(⋂⋰*⋻3031)⇂≾⫗⋰*⋻1061⪃⊛⇣⋰*⋻3489∺≝⩲(⪭⩑⪱(≻⋜⋰*⋻891))","cot":[{"info":"⫛⫱⨽⋰*⋻2969=⋰*⋻0","layer":3},{"info":"∑⇻≧⋰*⋻0=⋰*⋻-705","layer":2},{"info":"⋰*⋻1046⨔⇊⋰*⋻954=⋰*⋻954","layer":3},{"info":"⋰*⋻1255⫥∨⫟⋰*⋻2009=NaN","layer":3},{"info":"⋰*⋻954↺NaN=NaN","layer":2},{"info":"⋰*⋻-705⨪↰⇹NaN=⋰*⋻-705","layer":1},{"info":"⋂⋰*⋻3031=⋰*⋻-38A01","layer":3},{"info":"⋰*⋻1061⪃⊛⇣⋰*⋻3489=⋰*⋻A22","layer":3},{"info":"⋰*⋻-38A01⇂≾⫗⋰*⋻A22=⋰*⋻-55A","layer":2},{"info":"≻⋜⋰*⋻891=NaN","layer":3},{"info":"⪭⩑⪱NaN=⋰*⋻4773560","layer":2},{"info":"⋰*⋻-55A∺≝⩲⋰*⋻4773560=⋰*⋻136","layer":1},{"info":"⋰*⋻-705⩹⋰*⋻136=⋰*⋻134","layer":0}]}
{"id":166,"expression_no_base_symbol":"(⋎⨆$1197$⋕⪉⪜$4297$∝$3785$⇍⊗$2732$)⪣⫩","expression":"(⋎⨆⋰*⋻999⋕⪉⪜⋰*⋻3257∝⋰*⋻2931⇍⊗⋰*⋻2064)⪣⫩","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":106,"operation_count":5,"complexity_ratio":21.2,"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":1197,"base":11},"right_expr":{"type":"numeric_atoms","value":4297,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3785,"base":11},"right_expr":{"type":"numeric_atoms","value":2732,"base":11}}}}},"used_operators":["iuk5sVOGFA","E64sFOc4tB","cTDWOvIxvz","z6LnFrNh4i","5uvYHDjeKN"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","7j4O788W3g","W4YGzv6Whe","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⋰*⋻760","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1197","layer":4},{"info":"number node, value=4297","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=4297, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=3785","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=3785, right_input=2732, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=-244, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=209","layer":2},{"info":"compute unary expreesion, input=209, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":11,"result_base":11,"text":"(⋎⨆⋰*⋻999⋕⪉⪜⋰*⋻3257∝⋰*⋻2931⇍⊗⋰*⋻2064)⪣⫩=⋰*⋻760","reverse_text":"⋰*⋻760=(⋎⨆⋰*⋻999⋕⪉⪜⋰*⋻3257∝⋰*⋻2931⇍⊗⋰*⋻2064)⪣⫩","cot":[{"info":"⋰*⋻999⋕⪉⪜⋰*⋻3257=⋰*⋻176","layer":3},{"info":"⋰*⋻2931⇍⊗⋰*⋻2064=⋰*⋻-202","layer":3},{"info":"⋰*⋻176∝⋰*⋻-202=⋰*⋻180","layer":2},{"info":"⋎⨆⋰*⋻180=⋰*⋻0","layer":1},{"info":"⋰*⋻0⪣⫩=⋰*⋻760","layer":0}]}
{"id":167,"expression_no_base_symbol":"⇠(∮($2800$⫢⨠$1104$)≁($4165$⪎⩰))","expression":"⇠(∮(⋰*⋻2116⫢⨠⋰*⋻914)≁(⋰*⋻3147⪎⩰))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":666,"operation_count":5,"complexity_ratio":133.2,"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":2800,"base":11},"right_expr":{"type":"numeric_atoms","value":1104,"base":11}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":4165,"base":11}}}}},"used_operators":["18saOjeKKm","CqXKPLVYql","8N2wDY1A35","xlXykHWxX1","2ufhKmSs5H"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2800","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=1104, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=4165","layer":4},{"info":"compute unary expreesion, input=4165, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-34, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-11517","layer":2},{"info":"compute unary expreesion, input=-11517, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-249653","layer":1},{"info":"compute unary expreesion, input=-249653, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⇠(∮(⋰*⋻2116⫢⨠⋰*⋻914)≁(⋰*⋻3147⪎⩰))=⋰*⋻0","reverse_text":"⋰*⋻0=⇠(∮(⋰*⋻2116⫢⨠⋰*⋻914)≁(⋰*⋻3147⪎⩰))","cot":[{"info":"⋰*⋻2116⫢⨠⋰*⋻914=⋰*⋻136","layer":3},{"info":"⋰*⋻3147⪎⩰=⋰*⋻-31","layer":3},{"info":"⋰*⋻136≁⋰*⋻-31=⋰*⋻-8720","layer":2},{"info":"∮⋰*⋻-8720=⋰*⋻-160628","layer":1},{"info":"⇠⋰*⋻-160628=⋰*⋻0","layer":0}]}
{"id":168,"expression_no_base_symbol":"(($3437$⪨≂$7134$)⪢($1646$⫒⫫$3900$)⪄(→⩰$2001$⨂≜$4591$))⋥≓≎(($5575$∌↝$2929$)∩⋅)↞⋁(($3760$⨐⩸⫘$3625$)⫁(⊗$2247$))","expression":"((⋰*⋻2645⪨≂⋰*⋻53A6)⪢(⋰*⋻1267⫒⫫⋰*⋻2A26)⪄(→⩰⋰*⋻155A⨂≜⋰*⋻34A4))⋥≓≎((⋰*⋻4209∌↝⋰*⋻2223)∩⋅)↞⋁((⋰*⋻2909⨐⩸⫘⋰*⋻27A6)⫁(⊗⋰*⋻1763))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16023,"operation_count":13,"complexity_ratio":1232.5384615384614,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3437,"base":11},"right_expr":{"type":"numeric_atoms","value":7134,"base":11}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1646,"base":11},"right_expr":{"type":"numeric_atoms","value":3900,"base":11}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2001,"base":11},"right_expr":{"type":"numeric_atoms","value":4591,"base":11}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5575,"base":11},"right_expr":{"type":"numeric_atoms","value":2929,"base":11}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3760,"base":11},"right_expr":{"type":"numeric_atoms","value":3625,"base":11}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2247,"base":11}}}}},"used_operators":["Qy55tPpLXF","SUmda5xLS4","dWAJyo7jo9","sdazOOVcIp","6Ko8hGgeMq","o8Pngz0Tml","k1SHOSEABc","RqrPlJkxDo","2MzE1hQ0cz","9Isq31Ruls","0ajvFaJAv0","fu6greOZ01","RhiyfpczSx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Qy55tPpLXF","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","cHh1gJQ2o6","AHs5Up7iyr","3ViojmjbAp","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3437","layer":4},{"info":"number node, value=7134","layer":4},{"info":"compute binary expreesion, left_input=3437, right_input=7134, 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=-7292","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=3900, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7292, 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=2001","layer":4},{"info":"number node, value=4591","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=4591, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=5575","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=5575, right_input=2929, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=121","layer":2},{"info":"number node, value=3760","layer":4},{"info":"number node, value=3625","layer":4},{"info":"compute binary expreesion, left_input=3760, right_input=3625, 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=2247","layer":4},{"info":"compute unary expreesion, input=2247, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-4494","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4494, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=121, right_input=160, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, 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":11,"result_base":11,"text":"((⋰*⋻2645⪨≂⋰*⋻53A6)⪢(⋰*⋻1267⫒⫫⋰*⋻2A26)⪄(→⩰⋰*⋻155A⨂≜⋰*⋻34A4))⋥≓≎((⋰*⋻4209∌↝⋰*⋻2223)∩⋅)↞⋁((⋰*⋻2909⨐⩸⫘⋰*⋻27A6)⫁(⊗⋰*⋻1763))=NaN","reverse_text":"NaN=((⋰*⋻2645⪨≂⋰*⋻53A6)⪢(⋰*⋻1267⫒⫫⋰*⋻2A26)⪄(→⩰⋰*⋻155A⨂≜⋰*⋻34A4))⋥≓≎((⋰*⋻4209∌↝⋰*⋻2223)∩⋅)↞⋁((⋰*⋻2909⨐⩸⫘⋰*⋻27A6)⫁(⊗⋰*⋻1763))","cot":[{"info":"⋰*⋻2645⪨≂⋰*⋻53A6=⋰*⋻-552A","layer":3},{"info":"⋰*⋻1267⫒⫫⋰*⋻2A26=NaN","layer":3},{"info":"⋰*⋻-552A⪢NaN=NaN","layer":2},{"info":"⋰*⋻155A⨂≜⋰*⋻34A4=NaN","layer":3},{"info":"→⩰NaN=NaN","layer":2},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":1},{"info":"⋰*⋻4209∌↝⋰*⋻2223=⋰*⋻0","layer":3},{"info":"⋰*⋻0∩⋅=⋰*⋻100","layer":2},{"info":"⋰*⋻2909⨐⩸⫘⋰*⋻27A6=NaN","layer":3},{"info":"⊗⋰*⋻1763=⋰*⋻-3416","layer":3},{"info":"NaN⫁⋰*⋻-3416=⋰*⋻136","layer":2},{"info":"⋰*⋻100↞⋁⋰*⋻136=NaN","layer":1},{"info":"⋰*⋻2A98⋥≓≎NaN=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"⇖(⇁⨣⪵(⨞⊢$1797$)⫘(∤↝$1903$))","expression":"⇖(⇁⨣⪵(⨞⊢⋰*⋻1394)⫘(∤↝⋰*⋻1480))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2193,"operation_count":5,"complexity_ratio":438.6,"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":1797,"base":11}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1903,"base":11}}}}},"used_operators":["tfWHHpNKUN","inkyxCbjAn","48vC8HMD2b","xUOZtlo3hN","3UMq87Qwqg"],"dependent_operators":["2DQ55sFlQl","B5M0gjZbta","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1797","layer":4},{"info":"compute unary expreesion, input=1797, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1971","layer":3},{"info":"number node, value=1903","layer":4},{"info":"compute unary expreesion, input=1903, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1903","layer":3},{"info":"compute binary expreesion, left_input=-1971, right_input=1903, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2322301","layer":2},{"info":"compute unary expreesion, input=2322301, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":11,"result_base":11,"text":"⇖(⇁⨣⪵(⨞⊢⋰*⋻1394)⫘(∤↝⋰*⋻1480))=⋰*⋻136","reverse_text":"⋰*⋻136=⇖(⇁⨣⪵(⨞⊢⋰*⋻1394)⫘(∤↝⋰*⋻1480))","cot":[{"info":"⨞⊢⋰*⋻1394=⋰*⋻-1532","layer":3},{"info":"∤↝⋰*⋻1480=⋰*⋻1480","layer":3},{"info":"⋰*⋻-1532⫘⋰*⋻1480=⋰*⋻1346863","layer":2},{"info":"⇁⨣⪵⋰*⋻1346863=NaN","layer":1},{"info":"⇖NaN=⋰*⋻136","layer":0}]}
{"id":170,"expression_no_base_symbol":"(⪹(↡($7313$≎⊠⪸$6436$)))⫡⨏(($1911$∪⫐$3652$)∖$2350$⪄$1816$⨵⪆$1009$⪢$3382$≀⩗∶$1037$≎⪠$1147$)","expression":"(⪹(↡(⋰*⋻5549≎⊠⪸⋰*⋻4921)))⫡⨏((⋰*⋻1488∪⫐⋰*⋻2820)∖⋰*⋻1847⪄⋰*⋻1401⨵⪆⋰*⋻838⪢⋰*⋻25A5≀⩗∶⋰*⋻863≎⪠⋰*⋻953)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23085,"operation_count":11,"complexity_ratio":2098.6363636363635,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7313,"base":11},"right_expr":{"type":"numeric_atoms","value":6436,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1911,"base":11},"right_expr":{"type":"numeric_atoms","value":3652,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2350,"base":11},"right_expr":{"type":"numeric_atoms","value":1816,"base":11}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1009,"base":11},"right_expr":{"type":"numeric_atoms","value":3382,"base":11}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1037,"base":11},"right_expr":{"type":"numeric_atoms","value":1147,"base":11}}}}},"used_operators":["QMFrweE19q","USyYr0JgAa","MXaNJeIAZ3","bJkvcejdHO","2DQ55sFlQl","tXD093vOjl","7YooWSwCyH","SUmda5xLS4","8INZBEW696","dWAJyo7jo9","aNhz54LH3e"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rJVOvQCfKK","2DDjHMKMc0","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","k8jYdgA6NY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⋰*⋻-4410A369","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7313","layer":4},{"info":"number node, value=6436","layer":4},{"info":"compute binary expreesion, left_input=7313, right_input=6436, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1893594","layer":3},{"info":"compute unary expreesion, input=1893594, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=17042346","layer":2},{"info":"compute unary expreesion, input=17042346, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-17042166","layer":1},{"info":"number node, value=1911","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=3652, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1911","layer":3},{"info":"number node, value=2350","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=1816, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-351153","layer":3},{"info":"compute binary expreesion, left_input=1911, right_input=-351153, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1009","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3382, 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=1037","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1147, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=-17042166, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-85209727","layer":0}],"base":11,"result_base":11,"text":"(⪹(↡(⋰*⋻5549≎⊠⪸⋰*⋻4921)))⫡⨏((⋰*⋻1488∪⫐⋰*⋻2820)∖⋰*⋻1847⪄⋰*⋻1401⨵⪆⋰*⋻838⪢⋰*⋻25A5≀⩗∶⋰*⋻863≎⪠⋰*⋻953)=⋰*⋻-4410A369","reverse_text":"⋰*⋻-4410A369=(⪹(↡(⋰*⋻5549≎⊠⪸⋰*⋻4921)))⫡⨏((⋰*⋻1488∪⫐⋰*⋻2820)∖⋰*⋻1847⪄⋰*⋻1401⨵⪆⋰*⋻838⪢⋰*⋻25A5≀⩗∶⋰*⋻863≎⪠⋰*⋻953)","cot":[{"info":"⋰*⋻5549≎⊠⪸⋰*⋻4921=⋰*⋻108375A","layer":3},{"info":"↡⋰*⋻108375A=⋰*⋻9690192","layer":2},{"info":"⪹⋰*⋻9690192=⋰*⋻-9690039","layer":1},{"info":"⋰*⋻1488∪⫐⋰*⋻2820=⋰*⋻1488","layer":3},{"info":"⋰*⋻1847⪄⋰*⋻1401=⋰*⋻-21A910","layer":3},{"info":"⋰*⋻1488∖⋰*⋻-21A910=⋰*⋻0","layer":2},{"info":"⋰*⋻838⪢⋰*⋻25A5=NaN","layer":3},{"info":"⋰*⋻863≎⪠⋰*⋻953=⋰*⋻13770","layer":3},{"info":"NaN≀⩗∶⋰*⋻13770=NaN","layer":2},{"info":"⋰*⋻0⨵⪆NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻-9690039⫡⨏⋰*⋻136=⋰*⋻-4410A369","layer":0}]}
{"id":171,"expression_no_base_symbol":"⊿((⩰$1013$)∲⫓$1606$∝$3945$)⪔($1024$⩨$4561$∕⩚($1024$⇋≉))","expression":"⊿((⩰⋰*⋻841)∲⫓⋰*⋻1230∝⋰*⋻2A67)⪔(⋰*⋻851⩨⋰*⋻3477∕⩚(⋰*⋻851⇋≉))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":253,"operation_count":8,"complexity_ratio":31.625,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1013,"base":11}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1606,"base":11},"right_expr":{"type":"numeric_atoms","value":3945,"base":11}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1024,"base":11},"right_expr":{"type":"numeric_atoms","value":4561,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1024,"base":11}}}}},"used_operators":["DO4fhlbJSI","GjBEYRfMaF","i8ToyICDmI","WkeUrDK8WX","cTDWOvIxvz","z9ffQ9n5Zr","2DlMacCsIx","XIabStNQrY"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2013","layer":3},{"info":"number node, value=1606","layer":4},{"info":"number node, value=3945","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=3945, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1611","layer":3},{"info":"compute binary expreesion, left_input=-2013, right_input=1611, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=4561","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=4561, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1950","layer":3},{"info":"compute binary expreesion, left_input=-12, right_input=1950, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=9","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊿((⩰⋰*⋻841)∲⫓⋰*⋻1230∝⋰*⋻2A67)⪔(⋰*⋻851⩨⋰*⋻3477∕⩚(⋰*⋻851⇋≉))=NaN","reverse_text":"NaN=⊿((⩰⋰*⋻841)∲⫓⋰*⋻1230∝⋰*⋻2A67)⪔(⋰*⋻851⩨⋰*⋻3477∕⩚(⋰*⋻851⇋≉))","cot":[{"info":"⩰⋰*⋻841=⋰*⋻-1570","layer":3},{"info":"⋰*⋻1230∝⋰*⋻2A67=⋰*⋻1235","layer":3},{"info":"⋰*⋻-1570∲⫓⋰*⋻1235=⋰*⋻0","layer":2},{"info":"⋰*⋻851⩨⋰*⋻3477=⋰*⋻-11","layer":3},{"info":"⋰*⋻851⇋≉=⋰*⋻1513","layer":3},{"info":"⋰*⋻-11∕⩚⋰*⋻1513=⋰*⋻9","layer":2},{"info":"⋰*⋻0⪔⋰*⋻9=NaN","layer":1},{"info":"⊿NaN=NaN","layer":0}]}
{"id":172,"expression_no_base_symbol":"(($4371$∽$1398$)⩷∴$1635$⊬⨰$1182$)⨸(($9050$⊚⫡⫭)⩨$4242$⪝$1034$)∋(⇖($5351$↼⊘⨖$1017$))⨔⇊(≑⋹(≘$6778$))","expression":"((⋰*⋻3314∽⋰*⋻1061)⩷∴⋰*⋻1257⊬⨰⋰*⋻985)⨸((⋰*⋻6888⊚⫡⫭)⩨⋰*⋻3207⪝⋰*⋻860)∋(⇖(⋰*⋻4025↼⊘⨖⋰*⋻845))⨔⇊(≑⋹(≘⋰*⋻5102))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":63395,"operation_count":13,"complexity_ratio":4876.538461538462,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4371,"base":11},"right_expr":{"type":"numeric_atoms","value":1398,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1635,"base":11},"right_expr":{"type":"numeric_atoms","value":1182,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":9050,"base":11}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4242,"base":11},"right_expr":{"type":"numeric_atoms","value":1034,"base":11}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5351,"base":11},"right_expr":{"type":"numeric_atoms","value":1017,"base":11}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":6778,"base":11}}}}},"used_operators":["ukq6epAj5P","KmoU8R5UQR","9FxExcQeMw","y4ImoPnbV5","s3Fd5m9Dh2","2DlMacCsIx","SpZWOsLKZJ","wicAB68Tmb","JclMnS0uGI","tfWHHpNKUN","bPywburJMS","6B9nyZLogK","tcjXMdvYtA"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","NTOWxs364D","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2DQ55sFlQl","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"⋰*⋻1A6A6430","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4371","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=1398, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-25871","layer":3},{"info":"number node, value=1635","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=1182, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5307","layer":3},{"info":"compute binary expreesion, left_input=-25871, right_input=5307, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-62388","layer":2},{"info":"number node, value=9050","layer":4},{"info":"compute unary expreesion, input=9050, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-17174","layer":3},{"info":"number node, value=4242","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=4242, right_input=1034, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-13231","layer":3},{"info":"compute binary expreesion, left_input=-17174, right_input=-13231, 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=-62388, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=672286","layer":1},{"info":"number node, value=5351","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=5351, right_input=1017, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1812","layer":3},{"info":"compute unary expreesion, input=1812, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=6778","layer":4},{"info":"compute unary expreesion, input=6778, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=14946274","layer":3},{"info":"compute unary expreesion, input=14946274, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1650, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=672286, right_input=1650, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=38324000","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3314∽⋰*⋻1061)⩷∴⋰*⋻1257⊬⨰⋰*⋻985)⨸((⋰*⋻6888⊚⫡⫭)⩨⋰*⋻3207⪝⋰*⋻860)∋(⇖(⋰*⋻4025↼⊘⨖⋰*⋻845))⨔⇊(≑⋹(≘⋰*⋻5102))=⋰*⋻1A6A6430","reverse_text":"⋰*⋻1A6A6430=((⋰*⋻3314∽⋰*⋻1061)⩷∴⋰*⋻1257⊬⨰⋰*⋻985)⨸((⋰*⋻6888⊚⫡⫭)⩨⋰*⋻3207⪝⋰*⋻860)∋(⇖(⋰*⋻4025↼⊘⨖⋰*⋻845))⨔⇊(≑⋹(≘⋰*⋻5102))","cot":[{"info":"⋰*⋻3314∽⋰*⋻1061=⋰*⋻-1848A","layer":3},{"info":"⋰*⋻1257⊬⨰⋰*⋻985=⋰*⋻3A95","layer":3},{"info":"⋰*⋻-1848A⩷∴⋰*⋻3A95=⋰*⋻-42967","layer":2},{"info":"⋰*⋻6888⊚⫡⫭=⋰*⋻-119A3","layer":3},{"info":"⋰*⋻3207⪝⋰*⋻860=⋰*⋻-9A39","layer":3},{"info":"⋰*⋻-119A3⩨⋰*⋻-9A39=⋰*⋻0","layer":2},{"info":"⋰*⋻-42967⨸⋰*⋻0=⋰*⋻41A10A","layer":1},{"info":"⋰*⋻4025↼⊘⨖⋰*⋻845=⋰*⋻13A8","layer":3},{"info":"⇖⋰*⋻13A8=⋰*⋻136","layer":2},{"info":"≘⋰*⋻5102=⋰*⋻84893A2","layer":3},{"info":"≑⋹⋰*⋻84893A2=⋰*⋻1270","layer":2},{"info":"⋰*⋻136⨔⇊⋰*⋻1270=⋰*⋻1270","layer":1},{"info":"⋰*⋻41A10A∋⋰*⋻1270=⋰*⋻1A6A6430","layer":0}]}
{"id":173,"expression_no_base_symbol":"((⪁⇼$1189$)⫁($4075$⩨$3552$)⩁)≦↸((⪓⩚($7054$∙∹∝$2971$))⋛($3675$∼$1720$∼($3444$⊋≦⊧$3475$)))","expression":"((⪁⇼⋰*⋻991)⫁(⋰*⋻3075⩨⋰*⋻273A)⩁)≦↸((⪓⩚(⋰*⋻5333∙∹∝⋰*⋻2261))⋛(⋰*⋻2841∼⋰*⋻1324∼(⋰*⋻2651⊋≦⊧⋰*⋻267A)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3659,"operation_count":11,"complexity_ratio":332.6363636363636,"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":1189,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4075,"base":11},"right_expr":{"type":"numeric_atoms","value":3552,"base":11}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":7054,"base":11},"right_expr":{"type":"numeric_atoms","value":2971,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3675,"base":11},"right_expr":{"type":"numeric_atoms","value":1720,"base":11}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3444,"base":11},"right_expr":{"type":"numeric_atoms","value":3475,"base":11}}}}},"used_operators":["RygbFNSyEJ","5GqDbVmqXU","0ajvFaJAv0","ZNVVrZ94lY","2DlMacCsIx","YbUVn0Rbpy","u0R0Locfp2","HmxsFra2vL","DyGG3AbaNP","oRDoc9rAEX"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":4},{"info":"compute unary expreesion, input=1189, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=4075","layer":4},{"info":"number node, value=3552","layer":4},{"info":"compute binary expreesion, left_input=4075, right_input=3552, 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=422, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-160","layer":1},{"info":"number node, value=7054","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=7054, right_input=2971, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=3675","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=1720, 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=3444","layer":4},{"info":"number node, value=3475","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=3475, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-6679","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6679, 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=426, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-160, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⪁⇼⋰*⋻991)⫁(⋰*⋻3075⩨⋰*⋻273A)⩁)≦↸((⪓⩚(⋰*⋻5333∙∹∝⋰*⋻2261))⋛(⋰*⋻2841∼⋰*⋻1324∼(⋰*⋻2651⊋≦⊧⋰*⋻267A)))=NaN","reverse_text":"NaN=((⪁⇼⋰*⋻991)⫁(⋰*⋻3075⩨⋰*⋻273A)⩁)≦↸((⪓⩚(⋰*⋻5333∙∹∝⋰*⋻2261))⋛(⋰*⋻2841∼⋰*⋻1324∼(⋰*⋻2651⊋≦⊧⋰*⋻267A)))","cot":[{"info":"⪁⇼⋰*⋻991=⋰*⋻354","layer":3},{"info":"⋰*⋻3075⩨⋰*⋻273A=⋰*⋻0","layer":3},{"info":"⋰*⋻354⫁⋰*⋻0=⋰*⋻136","layer":2},{"info":"⋰*⋻136⩁=⋰*⋻-136","layer":1},{"info":"⋰*⋻5333∙∹∝⋰*⋻2261=⋰*⋻0","layer":3},{"info":"⪓⩚⋰*⋻0=⋰*⋻358","layer":2},{"info":"⋰*⋻2841∼⋰*⋻1324=NaN","layer":3},{"info":"⋰*⋻2651⊋≦⊧⋰*⋻267A=⋰*⋻-5022","layer":3},{"info":"NaN∼⋰*⋻-5022=NaN","layer":2},{"info":"⋰*⋻358⋛NaN=NaN","layer":1},{"info":"⋰*⋻-136≦↸NaN=NaN","layer":0}]}
{"id":174,"expression_no_base_symbol":"(⋗⩬⋾(↽≂$4823$⩖⊿$6538$))⪍↜⋙(($1486$∷$1020$)⫒⫫($2498$⪇≇⋚$1885$))⩖⊿(($2322$⪨⊡$6088$)→⨶⪴(⋣$1007$))","expression":"(⋗⩬⋾(↽≂⋰*⋻3695⩖⊿⋰*⋻4A04))⪍↜⋙((⋰*⋻1131∷⋰*⋻848)⫒⫫(⋰*⋻1971⪇≇⋚⋰*⋻1464))⩖⊿((⋰*⋻1821⪨⊡⋰*⋻4635)→⨶⪴(⋣⋰*⋻836))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":286,"operation_count":11,"complexity_ratio":26.0,"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":4823,"base":11},"right_expr":{"type":"numeric_atoms","value":6538,"base":11}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1486,"base":11},"right_expr":{"type":"numeric_atoms","value":1020,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2498,"base":11},"right_expr":{"type":"numeric_atoms","value":1885,"base":11}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2322,"base":11},"right_expr":{"type":"numeric_atoms","value":6088,"base":11}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1007,"base":11}}}}},"used_operators":["L05ObWFQCd","DpFCA1CohY","u6S6b8DprG","RZ5CV9rWsJ","6Ko8hGgeMq","D3AQDKkPcf","3sJ7IOPOlU","bF6eod5Gvf","kuIXHzHcAH","zQWRhDnn8F"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","8w2t5hMYqp","9FxExcQeMw","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4823","layer":4},{"info":"number node, value=6538","layer":4},{"info":"compute binary expreesion, left_input=4823, right_input=6538, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=32930","layer":3},{"info":"compute unary expreesion, input=32930, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-65860","layer":2},{"info":"compute unary expreesion, input=-65860, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=197580","layer":1},{"info":"number node, value=1486","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=1020, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1020","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=1885, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1020, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=2322","layer":4},{"info":"number node, value=6088","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=6088, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-295963","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-295963, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=591894","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=591894, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=197580, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋗⩬⋾(↽≂⋰*⋻3695⩖⊿⋰*⋻4A04))⪍↜⋙((⋰*⋻1131∷⋰*⋻848)⫒⫫(⋰*⋻1971⪇≇⋚⋰*⋻1464))⩖⊿((⋰*⋻1821⪨⊡⋰*⋻4635)→⨶⪴(⋣⋰*⋻836))=NaN","reverse_text":"NaN=(⋗⩬⋾(↽≂⋰*⋻3695⩖⊿⋰*⋻4A04))⪍↜⋙((⋰*⋻1131∷⋰*⋻848)⫒⫫(⋰*⋻1971⪇≇⋚⋰*⋻1464))⩖⊿((⋰*⋻1821⪨⊡⋰*⋻4635)→⨶⪴(⋣⋰*⋻836))","cot":[{"info":"⋰*⋻3695⩖⊿⋰*⋻4A04=⋰*⋻22817","layer":3},{"info":"↽≂⋰*⋻22817=⋰*⋻-45533","layer":2},{"info":"⋗⩬⋾⋰*⋻-45533=⋰*⋻125499","layer":1},{"info":"⋰*⋻1131∷⋰*⋻848=⋰*⋻848","layer":3},{"info":"⋰*⋻1971⪇≇⋚⋰*⋻1464=⋰*⋻0","layer":3},{"info":"⋰*⋻848⫒⫫⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1821⪨⊡⋰*⋻4635=⋰*⋻0","layer":3},{"info":"⋣⋰*⋻836=⋰*⋻-1923A8","layer":3},{"info":"⋰*⋻0→⨶⪴⋰*⋻-1923A8=⋰*⋻374776","layer":2},{"info":"NaN⩖⊿⋰*⋻374776=NaN","layer":1},{"info":"⋰*⋻125499⪍↜⋙NaN=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"≱⇩⩕(($1559$⨶)∷(⇤←$5272$))⊔($8952$⊔$4897$)⫯⪬∳($6490$⊉≛↸$4473$)","expression":"≱⇩⩕((⋰*⋻1198⨶)∷(⇤←⋰*⋻3A63))⊔(⋰*⋻67A9⊔⋰*⋻3752)⫯⪬∳(⋰*⋻4970⊉≛↸⋰*⋻33A7)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":143,"operation_count":8,"complexity_ratio":17.875,"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":1559,"base":11}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":5272,"base":11}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":8952,"base":11},"right_expr":{"type":"numeric_atoms","value":4897,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6490,"base":11},"right_expr":{"type":"numeric_atoms","value":4473,"base":11}}}}},"used_operators":["3DZMoQKiUl","E4l6HwMY31","D3AQDKkPcf","rFxw8gIMmB","jfAgQ2OQeM","d7ASUq0ydm","DZ8iAZOCBD"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","f6k1SAg4EE","Qy55tPpLXF","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1559","layer":4},{"info":"compute unary expreesion, input=1559, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1372","layer":3},{"info":"number node, value=5272","layer":4},{"info":"compute unary expreesion, input=5272, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-24994","layer":3},{"info":"compute binary expreesion, left_input=1372, right_input=-24994, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-2166","layer":2},{"info":"number node, value=8952","layer":4},{"info":"number node, value=4897","layer":4},{"info":"compute binary expreesion, left_input=8952, right_input=4897, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=39989","layer":3},{"info":"number node, value=6490","layer":4},{"info":"number node, value=4473","layer":4},{"info":"compute binary expreesion, left_input=6490, right_input=4473, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12980","layer":3},{"info":"compute binary expreesion, left_input=39989, right_input=12980, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=186998","layer":2},{"info":"compute binary expreesion, left_input=-2166, right_input=186998, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=567948","layer":1},{"info":"compute unary expreesion, input=567948, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":0}],"base":11,"result_base":11,"text":"≱⇩⩕((⋰*⋻1198⨶)∷(⇤←⋰*⋻3A63))⊔(⋰*⋻67A9⊔⋰*⋻3752)⫯⪬∳(⋰*⋻4970⊉≛↸⋰*⋻33A7)=⋰*⋻A3","reverse_text":"⋰*⋻A3=≱⇩⩕((⋰*⋻1198⨶)∷(⇤←⋰*⋻3A63))⊔(⋰*⋻67A9⊔⋰*⋻3752)⫯⪬∳(⋰*⋻4970⊉≛↸⋰*⋻33A7)","cot":[{"info":"⋰*⋻1198⨶=⋰*⋻1038","layer":3},{"info":"⇤←⋰*⋻3A63=⋰*⋻-17862","layer":3},{"info":"⋰*⋻1038∷⋰*⋻-17862=⋰*⋻-169A","layer":2},{"info":"⋰*⋻67A9⊔⋰*⋻3752=⋰*⋻28054","layer":3},{"info":"⋰*⋻4970⊉≛↸⋰*⋻33A7=⋰*⋻9830","layer":3},{"info":"⋰*⋻28054⫯⪬∳⋰*⋻9830=⋰*⋻118549","layer":2},{"info":"⋰*⋻-169A⊔⋰*⋻118549=⋰*⋻358787","layer":1},{"info":"≱⇩⩕⋰*⋻358787=⋰*⋻A3","layer":0}]}
{"id":176,"expression_no_base_symbol":"(($2114$⩨$1625$)⫍⨯↯)↹⊜($6357$⇍⊗$4047$≬⇓$3894$≎⪠$1237$)⪨≂(⨩∲⋌(($1519$⊍⩺⋍$1749$)⇌⫙⪟($1848$⊹∫⫚$1878$)))","expression":"((⋰*⋻1652⩨⋰*⋻1248)⫍⨯↯)↹⊜(⋰*⋻485A⇍⊗⋰*⋻304A≬⇓⋰*⋻2A20≎⪠⋰*⋻A25)⪨≂(⨩∲⋌((⋰*⋻1161⊍⩺⋍⋰*⋻1350)⇌⫙⪟(⋰*⋻1430⊹∫⫚⋰*⋻1458)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20333,"operation_count":11,"complexity_ratio":1848.4545454545455,"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":2114,"base":11},"right_expr":{"type":"numeric_atoms","value":1625,"base":11}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":6357,"base":11},"right_expr":{"type":"numeric_atoms","value":4047,"base":11}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3894,"base":11},"right_expr":{"type":"numeric_atoms","value":1237,"base":11}}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1519,"base":11},"right_expr":{"type":"numeric_atoms","value":1749,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1848,"base":11},"right_expr":{"type":"numeric_atoms","value":1878,"base":11}}}}},"used_operators":["sdazOOVcIp","9bazX3JMtO","ZcwmYACASQ","2DlMacCsIx","jWTQ2TZYIH","5uvYHDjeKN","aNhz54LH3e","aSik1wnThz","AFVx7xoS7T","OXDGMFPWZM","uWAJUKEvyW"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=1625, 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 = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-66","layer":2},{"info":"number node, value=6357","layer":4},{"info":"number node, value=4047","layer":4},{"info":"compute binary expreesion, left_input=6357, right_input=4047, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=3894","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=3894, right_input=1237, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=19558, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=624086","layer":2},{"info":"compute binary expreesion, left_input=-66, right_input=624086, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-4992784","layer":1},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1749, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1848","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=1878, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-12","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4992784, 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":11,"result_base":11,"text":"((⋰*⋻1652⩨⋰*⋻1248)⫍⨯↯)↹⊜(⋰*⋻485A⇍⊗⋰*⋻304A≬⇓⋰*⋻2A20≎⪠⋰*⋻A25)⪨≂(⨩∲⋌((⋰*⋻1161⊍⩺⋍⋰*⋻1350)⇌⫙⪟(⋰*⋻1430⊹∫⫚⋰*⋻1458)))=NaN","reverse_text":"NaN=((⋰*⋻1652⩨⋰*⋻1248)⫍⨯↯)↹⊜(⋰*⋻485A⇍⊗⋰*⋻304A≬⇓⋰*⋻2A20≎⪠⋰*⋻A25)⪨≂(⨩∲⋌((⋰*⋻1161⊍⩺⋍⋰*⋻1350)⇌⫙⪟(⋰*⋻1430⊹∫⫚⋰*⋻1458)))","cot":[{"info":"⋰*⋻1652⩨⋰*⋻1248=⋰*⋻0","layer":3},{"info":"⋰*⋻0⫍⨯↯=⋰*⋻-60","layer":2},{"info":"⋰*⋻485A⇍⊗⋰*⋻304A=⋰*⋻-202","layer":3},{"info":"⋰*⋻2A20≎⪠⋰*⋻A25=⋰*⋻13770","layer":3},{"info":"⋰*⋻-202≬⇓⋰*⋻13770=⋰*⋻396981","layer":2},{"info":"⋰*⋻-60↹⊜⋰*⋻396981=⋰*⋻-2900175","layer":1},{"info":"⋰*⋻1161⊍⩺⋍⋰*⋻1350=NaN","layer":3},{"info":"⋰*⋻1430⊹∫⫚⋰*⋻1458=⋰*⋻-11","layer":3},{"info":"NaN⇌⫙⪟⋰*⋻-11=NaN","layer":2},{"info":"⨩∲⋌NaN=NaN","layer":1},{"info":"⋰*⋻-2900175⪨≂NaN=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"(($2013$∙⊟$1154$)⫸⊐(⊤⊝$1818$)∖(∨∊⋏($2190$≎⊠⪸$4320$)))⨒($3645$⊉≛↸$1010$)⩣⫁∢($2062$↬⩅∪)⫁⪎($8016$⋥≓≎$2756$)⇂≾⫗($7743$⊹∫⫚$3896$)","expression":"((⋰*⋻1570∙⊟⋰*⋻95A)⫸⊐(⊤⊝⋰*⋻1403)∖(∨∊⋏(⋰*⋻1711≎⊠⪸⋰*⋻3278)))⨒(⋰*⋻2814⊉≛↸⋰*⋻839)⩣⫁∢(⋰*⋻1605↬⩅∪)⫁⪎(⋰*⋻6028⋥≓≎⋰*⋻2086)⇂≾⫗(⋰*⋻58AA⊹∫⫚⋰*⋻2A22)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1068574,"operation_count":14,"complexity_ratio":76326.71428571429,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2013,"base":11},"right_expr":{"type":"numeric_atoms","value":1154,"base":11}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1818,"base":11}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2190,"base":11},"right_expr":{"type":"numeric_atoms","value":4320,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3645,"base":11},"right_expr":{"type":"numeric_atoms","value":1010,"base":11}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2062,"base":11}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8016,"base":11},"right_expr":{"type":"numeric_atoms","value":2756,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":7743,"base":11},"right_expr":{"type":"numeric_atoms","value":3896,"base":11}}}}},"used_operators":["y75s1iXyHd","tXD093vOjl","mqXw5SEYmG","SxTAKzQCrw","rXAclfmB4M","R5aXW34M0v","bJkvcejdHO","xRrnTEsQ6j","JDUIKTTSIa","DZ8iAZOCBD","VJ330n2nnx","aBQ6xLxuTc","Qy55tPpLXF","uWAJUKEvyW"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⋰*⋻1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2013","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=1154, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=36015","layer":3},{"info":"number node, value=1818","layer":4},{"info":"compute unary expreesion, input=1818, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2338","layer":3},{"info":"compute binary expreesion, left_input=36015, right_input=2338, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9227","layer":2},{"info":"number node, value=2190","layer":4},{"info":"number node, value=4320","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=4320, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=566737","layer":3},{"info":"compute unary expreesion, input=566737, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=13588487","layer":2},{"info":"compute binary expreesion, left_input=9227, right_input=13588487, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=3645","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=3645, right_input=1010, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7290","layer":3},{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-6186","layer":3},{"info":"compute binary expreesion, left_input=7290, right_input=-6186, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-14419","layer":2},{"info":"number node, value=8016","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=8016, right_input=2756, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2471","layer":3},{"info":"number node, value=7743","layer":4},{"info":"number node, value=3896","layer":4},{"info":"compute binary expreesion, left_input=7743, right_input=3896, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-256","layer":3},{"info":"compute binary expreesion, left_input=-2471, right_input=-256, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=-14419, right_input=-670, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-13749","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-13749, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1570∙⊟⋰*⋻95A)⫸⊐(⊤⊝⋰*⋻1403)∖(∨∊⋏(⋰*⋻1711≎⊠⪸⋰*⋻3278)))⨒(⋰*⋻2814⊉≛↸⋰*⋻839)⩣⫁∢(⋰*⋻1605↬⩅∪)⫁⪎(⋰*⋻6028⋥≓≎⋰*⋻2086)⇂≾⫗(⋰*⋻58AA⊹∫⫚⋰*⋻2A22)=⋰*⋻1","reverse_text":"⋰*⋻1=((⋰*⋻1570∙⊟⋰*⋻95A)⫸⊐(⊤⊝⋰*⋻1403)∖(∨∊⋏(⋰*⋻1711≎⊠⪸⋰*⋻3278)))⨒(⋰*⋻2814⊉≛↸⋰*⋻839)⩣⫁∢(⋰*⋻1605↬⩅∪)⫁⪎(⋰*⋻6028⋥≓≎⋰*⋻2086)⇂≾⫗(⋰*⋻58AA⊹∫⫚⋰*⋻2A22)","cot":[{"info":"⋰*⋻1570∙⊟⋰*⋻95A=⋰*⋻25071","layer":3},{"info":"⊤⊝⋰*⋻1403=⋰*⋻1836","layer":3},{"info":"⋰*⋻25071⫸⊐⋰*⋻1836=⋰*⋻6A29","layer":2},{"info":"⋰*⋻1711≎⊠⪸⋰*⋻3278=⋰*⋻357886","layer":3},{"info":"∨∊⋏⋰*⋻357886=⋰*⋻7741260","layer":2},{"info":"⋰*⋻6A29∖⋰*⋻7741260=⋰*⋻0","layer":1},{"info":"⋰*⋻2814⊉≛↸⋰*⋻839=⋰*⋻5528","layer":3},{"info":"⋰*⋻1605↬⩅∪=⋰*⋻-4714","layer":3},{"info":"⋰*⋻5528⩣⫁∢⋰*⋻-4714=⋰*⋻-A919","layer":2},{"info":"⋰*⋻6028⋥≓≎⋰*⋻2086=⋰*⋻-1947","layer":3},{"info":"⋰*⋻58AA⊹∫⫚⋰*⋻2A22=⋰*⋻-213","layer":3},{"info":"⋰*⋻-1947⇂≾⫗⋰*⋻-213=⋰*⋻-55A","layer":2},{"info":"⋰*⋻-A919⫁⪎⋰*⋻-55A=⋰*⋻-A36A","layer":1},{"info":"⋰*⋻0⨒⋰*⋻-A36A=⋰*⋻1","layer":0}]}
{"id":178,"expression_no_base_symbol":"((($1477$∲⫓$2910$)⩹$1846$⪥$4433$)↡⊰⫅($2025$⩍⋽⫝̸$3968$)∥⊢⊲$3467$≴⪞⇿$1503$)≝⊿((⇙⪊$4537$↞⋁$1443$)⊉↱≁(⇜⊴$2704$⊉↱≁$1460$))","expression":"(((⋰*⋻1123∲⫓⋰*⋻2206)⩹⋰*⋻1429⪥⋰*⋻3370)↡⊰⫅(⋰*⋻1581⩍⋽⫝̸⋰*⋻2A88)∥⊢⊲⋰*⋻2672≴⪞⇿⋰*⋻1147)≝⊿((⇙⪊⋰*⋻3455↞⋁⋰*⋻10A2)⊉↱≁(⇜⊴⋰*⋻2039⊉↱≁⋰*⋻1108))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3611,"operation_count":13,"complexity_ratio":277.7692307692308,"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":1477,"base":11},"right_expr":{"type":"numeric_atoms","value":2910,"base":11}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1846,"base":11},"right_expr":{"type":"numeric_atoms","value":4433,"base":11}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2025,"base":11},"right_expr":{"type":"numeric_atoms","value":3968,"base":11}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3467,"base":11},"right_expr":{"type":"numeric_atoms","value":1503,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4537,"base":11},"right_expr":{"type":"numeric_atoms","value":1443,"base":11}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2704,"base":11},"right_expr":{"type":"numeric_atoms","value":1460,"base":11}}}}},"used_operators":["OKKcZfAt5B","VCtxkLNOzz","2Wsdkap16l","i8ToyICDmI","QbnwKVWMIQ","v1UQAVDJRr","BiWNJpBvwn","lvlrscuwVU","w2P8NbNXyL","pB6Fcnrjim","RqrPlJkxDo","XwDhCwWbUn"],"dependent_operators":["12rbrZMWeM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","EBcxylXtPf","rGHVDoGpnC","Ph9nP6C5qx","xUOZtlo3hN","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=2910, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1846","layer":4},{"info":"number node, value=4433","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=4433, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12036","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12036, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=12034","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=3968","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=3968, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3022","layer":3},{"info":"number node, value=3467","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=3467, right_input=1503, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=20403506","layer":3},{"info":"compute binary expreesion, left_input=3022, right_input=20403506, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12034, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=4537","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=4537, right_input=1443, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=2704","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=2704, right_input=1460, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=18228","layer":3},{"info":"compute unary expreesion, input=18228, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-4288094","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4288094, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1123∲⫓⋰*⋻2206)⩹⋰*⋻1429⪥⋰*⋻3370)↡⊰⫅(⋰*⋻1581⩍⋽⫝̸⋰*⋻2A88)∥⊢⊲⋰*⋻2672≴⪞⇿⋰*⋻1147)≝⊿((⇙⪊⋰*⋻3455↞⋁⋰*⋻10A2)⊉↱≁(⇜⊴⋰*⋻2039⊉↱≁⋰*⋻1108))=NaN","reverse_text":"NaN=(((⋰*⋻1123∲⫓⋰*⋻2206)⩹⋰*⋻1429⪥⋰*⋻3370)↡⊰⫅(⋰*⋻1581⩍⋽⫝̸⋰*⋻2A88)∥⊢⊲⋰*⋻2672≴⪞⇿⋰*⋻1147)≝⊿((⇙⪊⋰*⋻3455↞⋁⋰*⋻10A2)⊉↱≁(⇜⊴⋰*⋻2039⊉↱≁⋰*⋻1108))","cot":[{"info":"⋰*⋻1123∲⫓⋰*⋻2206=⋰*⋻0","layer":3},{"info":"⋰*⋻1429⪥⋰*⋻3370=⋰*⋻9052","layer":3},{"info":"⋰*⋻0⩹⋰*⋻9052=⋰*⋻9050","layer":2},{"info":"⋰*⋻1581⩍⋽⫝̸⋰*⋻2A88=⋰*⋻22A8","layer":3},{"info":"⋰*⋻2672≴⪞⇿⋰*⋻1147=⋰*⋻10576502","layer":3},{"info":"⋰*⋻22A8∥⊢⊲⋰*⋻10576502=NaN","layer":2},{"info":"⋰*⋻9050↡⊰⫅NaN=NaN","layer":1},{"info":"⋰*⋻3455↞⋁⋰*⋻10A2=NaN","layer":3},{"info":"⇙⪊NaN=NaN","layer":2},{"info":"⋰*⋻2039⊉↱≁⋰*⋻1108=⋰*⋻12771","layer":3},{"info":"⇜⊴⋰*⋻12771=⋰*⋻-2469788","layer":2},{"info":"NaN⊉↱≁⋰*⋻-2469788=NaN","layer":1},{"info":"NaN≝⊿NaN=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"($3185$≧⫂∧$8606$↙($4584$∠⫱$3359$)∲⫓(⋼∭⪍($3804$∲⫓$8951$)))⩺⪪(($3999$⨫⇇↔$3796$)⪢$3187$⫞⩸⩒$4300$)⊕∕($6949$⫘$5960$⋛$1654$⪃⊛⇣$3054$)","expression":"(⋰*⋻2436≧⫂∧⋰*⋻6514↙(⋰*⋻3498∠⫱⋰*⋻2584)∲⫓(⋼∭⪍(⋰*⋻2949∲⫓⋰*⋻67A8)))⩺⪪((⋰*⋻3006⨫⇇↔⋰*⋻2941)⪢⋰*⋻2438⫞⩸⩒⋰*⋻325A)⊕∕(⋰*⋻5248⫘⋰*⋻4529⋛⋰*⋻1274⪃⊛⇣⋰*⋻2327)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14281,"operation_count":14,"complexity_ratio":1020.0714285714286,"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":3185,"base":11},"right_expr":{"type":"numeric_atoms","value":8606,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4584,"base":11},"right_expr":{"type":"numeric_atoms","value":3359,"base":11}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3804,"base":11},"right_expr":{"type":"numeric_atoms","value":8951,"base":11}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3999,"base":11},"right_expr":{"type":"numeric_atoms","value":3796,"base":11}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3187,"base":11},"right_expr":{"type":"numeric_atoms","value":4300,"base":11}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":6949,"base":11},"right_expr":{"type":"numeric_atoms","value":5960,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1654,"base":11},"right_expr":{"type":"numeric_atoms","value":3054,"base":11}}}}},"used_operators":["uvdQJvN4PV","i8ToyICDmI","yyfyN0ffXY","Ph9nP6C5qx","QvoQhV0rrE","DbCuESL50I","9cloC0Ngie","dWAJyo7jo9","LXhwmt4mBO","XGcMNugi78","YbUVn0Rbpy","48vC8HMD2b","rrgAzCduG9"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","k8jYdgA6NY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3185","layer":4},{"info":"number node, value=8606","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=8606, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8133","layer":3},{"info":"number node, value=4584","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=4584, right_input=3359, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=8133, right_input=1234, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3702","layer":2},{"info":"number node, value=3804","layer":4},{"info":"number node, value=8951","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=8951, 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 = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=946","layer":2},{"info":"compute binary expreesion, left_input=-3702, right_input=946, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3999","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=3999, right_input=3796, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3187","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=4300, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4300","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=4300, 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=6949","layer":4},{"info":"number node, value=5960","layer":4},{"info":"compute binary expreesion, left_input=6949, right_input=5960, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=8176429","layer":3},{"info":"number node, value=1654","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=3054, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=8176429, right_input=1234, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=73455669","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=73455669, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2436≧⫂∧⋰*⋻6514↙(⋰*⋻3498∠⫱⋰*⋻2584)∲⫓(⋼∭⪍(⋰*⋻2949∲⫓⋰*⋻67A8)))⩺⪪((⋰*⋻3006⨫⇇↔⋰*⋻2941)⪢⋰*⋻2438⫞⩸⩒⋰*⋻325A)⊕∕(⋰*⋻5248⫘⋰*⋻4529⋛⋰*⋻1274⪃⊛⇣⋰*⋻2327)=NaN","reverse_text":"NaN=(⋰*⋻2436≧⫂∧⋰*⋻6514↙(⋰*⋻3498∠⫱⋰*⋻2584)∲⫓(⋼∭⪍(⋰*⋻2949∲⫓⋰*⋻67A8)))⩺⪪((⋰*⋻3006⨫⇇↔⋰*⋻2941)⪢⋰*⋻2438⫞⩸⩒⋰*⋻325A)⊕∕(⋰*⋻5248⫘⋰*⋻4529⋛⋰*⋻1274⪃⊛⇣⋰*⋻2327)","cot":[{"info":"⋰*⋻2436≧⫂∧⋰*⋻6514=⋰*⋻6124","layer":3},{"info":"⋰*⋻3498∠⫱⋰*⋻2584=⋰*⋻A22","layer":3},{"info":"⋰*⋻6124↙⋰*⋻A22=⋰*⋻-2866","layer":2},{"info":"⋰*⋻2949∲⫓⋰*⋻67A8=⋰*⋻0","layer":3},{"info":"⋼∭⪍⋰*⋻0=⋰*⋻790","layer":2},{"info":"⋰*⋻-2866∲⫓⋰*⋻790=⋰*⋻0","layer":1},{"info":"⋰*⋻3006⨫⇇↔⋰*⋻2941=⋰*⋻-43A","layer":3},{"info":"⋰*⋻2438⫞⩸⩒⋰*⋻325A=⋰*⋻325A","layer":3},{"info":"⋰*⋻-43A⪢⋰*⋻325A=NaN","layer":2},{"info":"⋰*⋻5248⫘⋰*⋻4529=⋰*⋻4685088","layer":3},{"info":"⋰*⋻1274⪃⊛⇣⋰*⋻2327=⋰*⋻A22","layer":3},{"info":"⋰*⋻4685088⋛⋰*⋻A22=⋰*⋻38511371","layer":2},{"info":"NaN⊕∕⋰*⋻38511371=NaN","layer":1},{"info":"⋰*⋻0⩺⪪NaN=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"(⨆≐≲(($1336$⇯⋐)⨸⪁(≀↧⇸$1537$)))≠≀(⊽(∨∊⋏$4001$))∣(⇘($2257$⫉⨲⊜$2402$))","expression":"(⨆≐≲((⋰*⋻1005⇯⋐)⨸⪁(≀↧⇸⋰*⋻1178)))≠≀(⊽(∨∊⋏⋰*⋻3008))∣(⇘(⋰*⋻1772⫉⨲⊜⋰*⋻1894))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":330,"operation_count":10,"complexity_ratio":33.0,"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":1336,"base":11}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1537,"base":11}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":4001,"base":11}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2257,"base":11},"right_expr":{"type":"numeric_atoms","value":2402,"base":11}}}}},"used_operators":["IwW236VD4Y","Bi9z9uYZqW","g55IO6H4Gj","LkLIoiE525","ljTHtUsqzn","PPChnnnBFF","QxG7OkqoLX","R5aXW34M0v","MGuIdZPyUC","WhqkvtTD3t"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","W4YGzv6Whe","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eewbuw0ToL","zVYPLywUTj"],"result":"⋰*⋻-8A07A113","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4886","layer":3},{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3074","layer":3},{"info":"compute binary expreesion, left_input=4886, right_input=3074, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15920","layer":2},{"info":"compute unary expreesion, input=15920, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=173895000","layer":1},{"info":"number node, value=4001","layer":4},{"info":"compute unary expreesion, input=4001, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=82823","layer":3},{"info":"compute unary expreesion, input=82823, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=167168","layer":2},{"info":"number node, value=2257","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=2402, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1835","layer":2},{"info":"compute binary expreesion, left_input=167168, right_input=-1835, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-166211","layer":1},{"info":"compute binary expreesion, left_input=173895000, right_input=-166211, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-173728910","layer":0}],"base":11,"result_base":11,"text":"(⨆≐≲((⋰*⋻1005⇯⋐)⨸⪁(≀↧⇸⋰*⋻1178)))≠≀(⊽(∨∊⋏⋰*⋻3008))∣(⇘(⋰*⋻1772⫉⨲⊜⋰*⋻1894))=⋰*⋻-8A07A113","reverse_text":"⋰*⋻-8A07A113=(⨆≐≲((⋰*⋻1005⇯⋐)⨸⪁(≀↧⇸⋰*⋻1178)))≠≀(⊽(∨∊⋏⋰*⋻3008))∣(⇘(⋰*⋻1772⫉⨲⊜⋰*⋻1894))","cot":[{"info":"⋰*⋻1005⇯⋐=⋰*⋻3742","layer":3},{"info":"≀↧⇸⋰*⋻1178=⋰*⋻2345","layer":3},{"info":"⋰*⋻3742⨸⪁⋰*⋻2345=⋰*⋻10A63","layer":2},{"info":"⨆≐≲⋰*⋻10A63=⋰*⋻8A182984","layer":1},{"info":"∨∊⋏⋰*⋻3008=⋰*⋻57254","layer":3},{"info":"⊽⋰*⋻57254=⋰*⋻104661","layer":2},{"info":"⋰*⋻1772⫉⨲⊜⋰*⋻1894=⋰*⋻0","layer":3},{"info":"⇘⋰*⋻0=⋰*⋻-1419","layer":2},{"info":"⋰*⋻104661∣⋰*⋻-1419=⋰*⋻-103971","layer":1},{"info":"⋰*⋻8A182984≠≀⋰*⋻-103971=⋰*⋻-8A07A113","layer":0}]}
{"id":181,"expression_no_base_symbol":"($5367$⨿$5139$≬⋮($2722$≑≱⪘)⋷(⇋↷$1405$)⩖⊿(⊢≑≆$3392$))⋳⪒($1274$⨥⫆$2711$⫚↹⊑$5060$⊕∕$1418$)↤⩊(⨵($4768$≬⇓$6888$))","expression":"(⋰*⋻403A⨿⋰*⋻3952≬⋮(⋰*⋻2055≑≱⪘)⋷(⇋↷⋰*⋻1068)⩖⊿(⊢≑≆⋰*⋻2604))⋳⪒(⋰*⋻A59⨥⫆⋰*⋻2045⫚↹⊑⋰*⋻3890⊕∕⋰*⋻107A)↤⩊(⨵(⋰*⋻3645≬⇓⋰*⋻51A2))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":665,"operation_count":14,"complexity_ratio":47.5,"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":5367,"base":11},"right_expr":{"type":"numeric_atoms","value":5139,"base":11}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2722,"base":11}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1405,"base":11}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":3392,"base":11}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1274,"base":11},"right_expr":{"type":"numeric_atoms","value":2711,"base":11}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5060,"base":11},"right_expr":{"type":"numeric_atoms","value":1418,"base":11}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4768,"base":11},"right_expr":{"type":"numeric_atoms","value":6888,"base":11}}}}},"used_operators":["12rbrZMWeM","23Mk6UjR3U","kbkesczE7y","abYXlopdE0","tGSeddj7UK","RZ5CV9rWsJ","SWo3A1KBJH","27wFxooxGf","13rbtpv6ld","dfKe02y8D2","yXekIHxTD4","9cloC0Ngie","Tl3Y52tvF8","jWTQ2TZYIH"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5367","layer":4},{"info":"number node, value=5139","layer":4},{"info":"compute binary expreesion, left_input=5367, right_input=5139, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2722","layer":4},{"info":"compute unary expreesion, input=2722, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=67137","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=67137, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=11240","layer":3},{"info":"number node, value=3392","layer":4},{"info":"compute unary expreesion, input=3392, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=14020","layer":3},{"info":"compute binary expreesion, left_input=11240, right_input=14020, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=67118","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=67118, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=133368","layer":1},{"info":"number node, value=1274","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=2711, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5298","layer":3},{"info":"number node, value=5060","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=5060, right_input=1418, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5060","layer":3},{"info":"compute binary expreesion, left_input=5298, right_input=5060, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=4768","layer":4},{"info":"number node, value=6888","layer":4},{"info":"compute binary expreesion, left_input=4768, right_input=6888, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=3383","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=3383, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=133368, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻403A⨿⋰*⋻3952≬⋮(⋰*⋻2055≑≱⪘)⋷(⇋↷⋰*⋻1068)⩖⊿(⊢≑≆⋰*⋻2604))⋳⪒(⋰*⋻A59⨥⫆⋰*⋻2045⫚↹⊑⋰*⋻3890⊕∕⋰*⋻107A)↤⩊(⨵(⋰*⋻3645≬⇓⋰*⋻51A2))=NaN","reverse_text":"NaN=(⋰*⋻403A⨿⋰*⋻3952≬⋮(⋰*⋻2055≑≱⪘)⋷(⇋↷⋰*⋻1068)⩖⊿(⊢≑≆⋰*⋻2604))⋳⪒(⋰*⋻A59⨥⫆⋰*⋻2045⫚↹⊑⋰*⋻3890⊕∕⋰*⋻107A)↤⩊(⨵(⋰*⋻3645≬⇓⋰*⋻51A2))","cot":[{"info":"⋰*⋻403A⨿⋰*⋻3952=⋰*⋻-270","layer":3},{"info":"⋰*⋻2055≑≱⪘=⋰*⋻46494","layer":3},{"info":"⋰*⋻-270≬⋮⋰*⋻46494=⋰*⋻71A","layer":2},{"info":"⇋↷⋰*⋻1068=⋰*⋻8499","layer":3},{"info":"⊢≑≆⋰*⋻2604=⋰*⋻A596","layer":3},{"info":"⋰*⋻8499⩖⊿⋰*⋻A596=⋰*⋻46477","layer":2},{"info":"⋰*⋻71A⋷⋰*⋻46477=⋰*⋻91224","layer":1},{"info":"⋰*⋻A59⨥⫆⋰*⋻2045=⋰*⋻3A87","layer":3},{"info":"⋰*⋻3890⊕∕⋰*⋻107A=⋰*⋻3890","layer":3},{"info":"⋰*⋻3A87⫚↹⊑⋰*⋻3890=⋰*⋻-377","layer":2},{"info":"⋰*⋻3645≬⇓⋰*⋻51A2=⋰*⋻-20","layer":3},{"info":"⨵⋰*⋻-20=⋰*⋻25A6","layer":2},{"info":"⋰*⋻-377↤⩊⋰*⋻25A6=NaN","layer":1},{"info":"⋰*⋻91224⋳⪒NaN=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"(($1140$≭$1599$)≴⪞⇿(⇜$4314$)⨐⩸⫘($4342$⊉≛↸$2404$)⊋$2303$∴$2867$)⫰⋱(↯⪼$2333$⪎↠$1236$)⇻⋧≁(($1126$⨉)≠≀$1602$⨐$1607$)","expression":"((⋰*⋻947≭⋰*⋻1224)≴⪞⇿(⇜⋰*⋻3272)⨐⩸⫘(⋰*⋻3298⊉≛↸⋰*⋻1896)⊋⋰*⋻1804∴⋰*⋻2177)⫰⋱(↯⪼⋰*⋻1831⪎↠⋰*⋻A24)⇻⋧≁((⋰*⋻934⨉)≠≀⋰*⋻1227⨐⋰*⋻1231)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6587,"operation_count":14,"complexity_ratio":470.5,"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":1140,"base":11},"right_expr":{"type":"numeric_atoms","value":1599,"base":11}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4314,"base":11}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4342,"base":11},"right_expr":{"type":"numeric_atoms","value":2404,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2303,"base":11},"right_expr":{"type":"numeric_atoms","value":2867,"base":11}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2333,"base":11},"right_expr":{"type":"numeric_atoms","value":1236,"base":11}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1126,"base":11}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1602,"base":11},"right_expr":{"type":"numeric_atoms","value":1607,"base":11}}}}},"used_operators":["6o9Blt3TJ6","fu6greOZ01","lvlrscuwVU","rxpJgHHUmx","lFBm8KRb8F","W4tP9CfskL","DZ8iAZOCBD","hrf7POJlIJ","jCPkEVoL5K","8jW3W4yZS5","3tVxb0NHM4","IwW236VD4Y","aMUSaJuDRU","Noe24qw2ks"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","3ViojmjbAp","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","AHs5Up7iyr","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1140","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1599, 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=4314","layer":4},{"info":"compute unary expreesion, input=4314, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-34920","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-34920, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=4342","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=4342, right_input=2404, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8684","layer":3},{"info":"number node, value=2303","layer":4},{"info":"number node, value=2867","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=2867, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6254","layer":3},{"info":"compute binary expreesion, left_input=8684, right_input=6254, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=121938972","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=121938972, 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=2333","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=1236, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1126","layer":4},{"info":"compute unary expreesion, input=1126, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4580","layer":3},{"info":"number node, value=1602","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=1607, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3204","layer":3},{"info":"compute binary expreesion, left_input=4580, right_input=-3204, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1497","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-1497, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻947≭⋰*⋻1224)≴⪞⇿(⇜⋰*⋻3272)⨐⩸⫘(⋰*⋻3298⊉≛↸⋰*⋻1896)⊋⋰*⋻1804∴⋰*⋻2177)⫰⋱(↯⪼⋰*⋻1831⪎↠⋰*⋻A24)⇻⋧≁((⋰*⋻934⨉)≠≀⋰*⋻1227⨐⋰*⋻1231)=NaN","reverse_text":"NaN=((⋰*⋻947≭⋰*⋻1224)≴⪞⇿(⇜⋰*⋻3272)⨐⩸⫘(⋰*⋻3298⊉≛↸⋰*⋻1896)⊋⋰*⋻1804∴⋰*⋻2177)⫰⋱(↯⪼⋰*⋻1831⪎↠⋰*⋻A24)⇻⋧≁((⋰*⋻934⨉)≠≀⋰*⋻1227⨐⋰*⋻1231)","cot":[{"info":"⋰*⋻947≭⋰*⋻1224=NaN","layer":3},{"info":"⇜⋰*⋻3272=⋰*⋻-24266","layer":3},{"info":"NaN≴⪞⇿⋰*⋻-24266=NaN","layer":2},{"info":"⋰*⋻3298⊉≛↸⋰*⋻1896=⋰*⋻6585","layer":3},{"info":"⋰*⋻1804∴⋰*⋻2177=⋰*⋻4776","layer":3},{"info":"⋰*⋻6585⊋⋰*⋻4776=⋰*⋻62916611","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻62916611=NaN","layer":1},{"info":"⋰*⋻1831⪎↠⋰*⋻A24=⋰*⋻136","layer":3},{"info":"↯⪼⋰*⋻136=⋰*⋻-1A","layer":2},{"info":"⋰*⋻934⨉=⋰*⋻3494","layer":3},{"info":"⋰*⋻1227⨐⋰*⋻1231=⋰*⋻-2453","layer":3},{"info":"⋰*⋻3494≠≀⋰*⋻-2453=⋰*⋻-1141","layer":2},{"info":"⋰*⋻-1A⇻⋧≁⋰*⋻-1141=⋰*⋻-377","layer":1},{"info":"NaN⫰⋱⋰*⋻-377=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"($2410$≥⨤⩑$4277$∝(↑$1174$))⇄($1905$∴$2871$⇚⪠)⫚↹⊑($1522$≀⩗∶$2310$)⇴$2049$⇍⊗$4812$⊭↱(⇘$6211$)∼($1642$⩱)","expression":"(⋰*⋻18A1≥⨤⩑⋰*⋻3239∝(↑⋰*⋻978))⇄(⋰*⋻1482∴⋰*⋻2180⇚⪠)⫚↹⊑(⋰*⋻1164≀⩗∶⋰*⋻1810)⇴⋰*⋻15A3⇍⊗⋰*⋻3685⊭↱(⇘⋰*⋻4737)∼(⋰*⋻1263⩱)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":25325,"operation_count":14,"complexity_ratio":1808.9285714285713,"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":2410,"base":11},"right_expr":{"type":"numeric_atoms","value":4277,"base":11}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1174,"base":11}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1905,"base":11},"right_expr":{"type":"numeric_atoms","value":2871,"base":11}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1522,"base":11},"right_expr":{"type":"numeric_atoms","value":2310,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2049,"base":11},"right_expr":{"type":"numeric_atoms","value":4812,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":6211,"base":11}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1642,"base":11}}}}},"used_operators":["dfKe02y8D2","3EYGwJThht","cTDWOvIxvz","gJLn6v0xnP","tR7O2zTn5j","Loh9y4A90B","hrf7POJlIJ","COABgblf1C","4JB6nKBMSY","8INZBEW696","5uvYHDjeKN","DyGG3AbaNP","MGuIdZPyUC","uyq1hVkAcj"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C"],"result":"⋰*⋻-377","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2410","layer":4},{"info":"number node, value=4277","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=4277, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=192, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1239","layer":2},{"info":"number node, value=1905","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=2871, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5458","layer":3},{"info":"compute unary expreesion, input=5458, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=59579528","layer":2},{"info":"compute binary expreesion, left_input=1239, right_input=59579528, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=1522","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=2310, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=4812","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=4812, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-244, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-892","layer":2},{"info":"number node, value=6211","layer":4},{"info":"compute unary expreesion, input=6211, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=367042","layer":3},{"info":"number node, value=1642","layer":4},{"info":"compute unary expreesion, input=1642, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-10102","layer":3},{"info":"compute binary expreesion, left_input=367042, right_input=-10102, 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=-892, 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=0, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻18A1≥⨤⩑⋰*⋻3239∝(↑⋰*⋻978))⇄(⋰*⋻1482∴⋰*⋻2180⇚⪠)⫚↹⊑(⋰*⋻1164≀⩗∶⋰*⋻1810)⇴⋰*⋻15A3⇍⊗⋰*⋻3685⊭↱(⇘⋰*⋻4737)∼(⋰*⋻1263⩱)=⋰*⋻-377","reverse_text":"⋰*⋻-377=(⋰*⋻18A1≥⨤⩑⋰*⋻3239∝(↑⋰*⋻978))⇄(⋰*⋻1482∴⋰*⋻2180⇚⪠)⫚↹⊑(⋰*⋻1164≀⩗∶⋰*⋻1810)⇴⋰*⋻15A3⇍⊗⋰*⋻3685⊭↱(⇘⋰*⋻4737)∼(⋰*⋻1263⩱)","cot":[{"info":"⋰*⋻18A1≥⨤⩑⋰*⋻3239=⋰*⋻A22","layer":3},{"info":"↑⋰*⋻978=⋰*⋻165","layer":3},{"info":"⋰*⋻A22∝⋰*⋻165=⋰*⋻A27","layer":2},{"info":"⋰*⋻1482∴⋰*⋻2180=⋰*⋻4112","layer":3},{"info":"⋰*⋻4112⇚⪠=⋰*⋻306A3A88","layer":2},{"info":"⋰*⋻A27⇄⋰*⋻306A3A88=⋰*⋻0","layer":1},{"info":"⋰*⋻1164≀⩗∶⋰*⋻1810=⋰*⋻-3","layer":3},{"info":"⋰*⋻15A3⇍⊗⋰*⋻3685=⋰*⋻-202","layer":3},{"info":"⋰*⋻-3⇴⋰*⋻-202=⋰*⋻-741","layer":2},{"info":"⇘⋰*⋻4737=⋰*⋻230845","layer":3},{"info":"⋰*⋻1263⩱=⋰*⋻-7654","layer":3},{"info":"⋰*⋻230845∼⋰*⋻-7654=NaN","layer":2},{"info":"⋰*⋻-741⊭↱NaN=NaN","layer":1},{"info":"⋰*⋻0⫚↹⊑NaN=⋰*⋻-377","layer":0}]}
{"id":184,"expression_no_base_symbol":"(↨⩢⫨(⨙⪌($2248$≁$1591$)))⨎(⩒∊($3888$-$2345$))⪔($3703$⊋$1924$)⪎↠($3156$⊔$7606$)","expression":"(↨⩢⫨(⨙⪌(⋰*⋻1764≁⋰*⋻1217)))⨎(⩒∊(⋰*⋻2A15-⋰*⋻1842))⪔(⋰*⋻2867⊋⋰*⋻149A)⪎↠(⋰*⋻240A⊔⋰*⋻5795)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5005,"operation_count":10,"complexity_ratio":500.5,"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":2248,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3888,"base":11},"right_expr":{"type":"numeric_atoms","value":2345,"base":11}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3703,"base":11},"right_expr":{"type":"numeric_atoms","value":1924,"base":11}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3156,"base":11},"right_expr":{"type":"numeric_atoms","value":7606,"base":11}}}}},"used_operators":["rJVOvQCfKK","Z5CJsN7DuW","vEGLkm4Z2k","8N2wDY1A35","GjBEYRfMaF","qazvmhNBbN","rysDP5nf3Z","3tVxb0NHM4","W4tP9CfskL","E4l6HwMY31"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⋰*⋻37A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2248","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=1591, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=24983","layer":3},{"info":"compute unary expreesion, input=24983, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=3888","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=3888, right_input=2345, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1543","layer":3},{"info":"compute unary expreesion, input=1543, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2329","layer":2},{"info":"number node, value=3703","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=3703, right_input=1924, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=26811864","layer":3},{"info":"number node, value=3156","layer":4},{"info":"number node, value=7606","layer":4},{"info":"compute binary expreesion, left_input=3156, right_input=7606, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=41942","layer":3},{"info":"compute binary expreesion, left_input=26811864, right_input=41942, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=2329, right_input=160, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=450, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=450","layer":0}],"base":11,"result_base":11,"text":"(↨⩢⫨(⨙⪌(⋰*⋻1764≁⋰*⋻1217)))⨎(⩒∊(⋰*⋻2A15-⋰*⋻1842))⪔(⋰*⋻2867⊋⋰*⋻149A)⪎↠(⋰*⋻240A⊔⋰*⋻5795)=⋰*⋻37A","reverse_text":"⋰*⋻37A=(↨⩢⫨(⨙⪌(⋰*⋻1764≁⋰*⋻1217)))⨎(⩒∊(⋰*⋻2A15-⋰*⋻1842))⪔(⋰*⋻2867⊋⋰*⋻149A)⪎↠(⋰*⋻240A⊔⋰*⋻5795)","cot":[{"info":"⋰*⋻1764≁⋰*⋻1217=⋰*⋻17852","layer":3},{"info":"⨙⪌⋰*⋻17852=⋰*⋻71A","layer":2},{"info":"↨⩢⫨⋰*⋻71A=⋰*⋻0","layer":1},{"info":"⋰*⋻2A15-⋰*⋻1842=⋰*⋻1183","layer":3},{"info":"⩒∊⋰*⋻1183=⋰*⋻1828","layer":2},{"info":"⋰*⋻2867⊋⋰*⋻149A=⋰*⋻14153172","layer":3},{"info":"⋰*⋻240A⊔⋰*⋻5795=⋰*⋻2956A","layer":3},{"info":"⋰*⋻14153172⪎↠⋰*⋻2956A=⋰*⋻136","layer":2},{"info":"⋰*⋻1828⪔⋰*⋻136=⋰*⋻37A","layer":1},{"info":"⋰*⋻0⨎⋰*⋻37A=⋰*⋻37A","layer":0}]}
{"id":185,"expression_no_base_symbol":"↨($9452$⋛$7581$)+⪬∐($3435$≒∊$1782$)≧⫂∧(⪓⩚$3824$+⪬∐$2704$)","expression":"↨(⋰*⋻7113⋛⋰*⋻5772)+⪬∐(⋰*⋻2643≒∊⋰*⋻1380)≧⫂∧(⪓⩚⋰*⋻2967+⪬∐⋰*⋻2039)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4491,"operation_count":7,"complexity_ratio":641.5714285714286,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":9452,"base":11},"right_expr":{"type":"numeric_atoms","value":7581,"base":11}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3435,"base":11},"right_expr":{"type":"numeric_atoms","value":1782,"base":11}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3824,"base":11},"right_expr":{"type":"numeric_atoms","value":2704,"base":11}}}}},"used_operators":["jiX4gk2v2Q","Ph9nP6C5qx","2GS7woTJqF","YbUVn0Rbpy","5KTvxBwnZo","u0R0Locfp2"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9452","layer":4},{"info":"number node, value=7581","layer":4},{"info":"compute binary expreesion, left_input=9452, right_input=7581, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-47124","layer":3},{"info":"number node, value=3435","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=3435, right_input=1782, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2951","layer":3},{"info":"compute binary expreesion, left_input=-47124, right_input=-2951, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=141372","layer":2},{"info":"number node, value=3824","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=2704, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11472","layer":3},{"info":"compute unary expreesion, input=-11472, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=141372, right_input=426, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-47","layer":1},{"info":"compute unary expreesion, input=-47, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"↨(⋰*⋻7113⋛⋰*⋻5772)+⪬∐(⋰*⋻2643≒∊⋰*⋻1380)≧⫂∧(⪓⩚⋰*⋻2967+⪬∐⋰*⋻2039)=⋰*⋻0","reverse_text":"⋰*⋻0=↨(⋰*⋻7113⋛⋰*⋻5772)+⪬∐(⋰*⋻2643≒∊⋰*⋻1380)≧⫂∧(⪓⩚⋰*⋻2967+⪬∐⋰*⋻2039)","cot":[{"info":"⋰*⋻7113⋛⋰*⋻5772=⋰*⋻-32450","layer":3},{"info":"⋰*⋻2643≒∊⋰*⋻1380=⋰*⋻-2243","layer":3},{"info":"⋰*⋻-32450+⪬∐⋰*⋻-2243=⋰*⋻97240","layer":2},{"info":"⋰*⋻2967+⪬∐⋰*⋻2039=⋰*⋻-868A","layer":3},{"info":"⪓⩚⋰*⋻-868A=⋰*⋻358","layer":2},{"info":"⋰*⋻97240≧⫂∧⋰*⋻358=⋰*⋻-43","layer":1},{"info":"↨⋰*⋻-43=⋰*⋻0","layer":0}]}
{"id":186,"expression_no_base_symbol":"⫎≠⋺($1453$⨫⇇↔$6357$↬(⨑⩽⪐$1107$))⋕⪉⪜(⪭⩑⪱$6982$≌$4717$)","expression":"⫎≠⋺(⋰*⋻1101⨫⇇↔⋰*⋻485A↬(⨑⩽⪐⋰*⋻917))⋕⪉⪜(⪭⩑⪱⋰*⋻5278≌⋰*⋻35A9)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5265,"operation_count":7,"complexity_ratio":752.1428571428571,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1453,"base":11},"right_expr":{"type":"numeric_atoms","value":6357,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1107,"base":11}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":6982,"base":11},"right_expr":{"type":"numeric_atoms","value":4717,"base":11}}}}},"used_operators":["LYeZOJ0nQG","z6LnFrNh4i","B5M0gjZbta","LXhwmt4mBO","AF7qkfDlqP","SIgE0bArFf","lyWz822IDG"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rGHVDoGpnC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"⋰*⋻-595","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"number node, value=6357","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=6357, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-834","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-834, 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=6982","layer":4},{"info":"number node, value=4717","layer":4},{"info":"compute binary expreesion, left_input=6982, right_input=4717, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute unary expreesion, input=204, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":11,"result_base":11,"text":"⫎≠⋺(⋰*⋻1101⨫⇇↔⋰*⋻485A↬(⨑⩽⪐⋰*⋻917))⋕⪉⪜(⪭⩑⪱⋰*⋻5278≌⋰*⋻35A9)=⋰*⋻-595","reverse_text":"⋰*⋻-595=⫎≠⋺(⋰*⋻1101⨫⇇↔⋰*⋻485A↬(⨑⩽⪐⋰*⋻917))⋕⪉⪜(⪭⩑⪱⋰*⋻5278≌⋰*⋻35A9)","cot":[{"info":"⋰*⋻1101⨫⇇↔⋰*⋻485A=⋰*⋻-43A","layer":3},{"info":"⨑⩽⪐⋰*⋻917=⋰*⋻-699","layer":3},{"info":"⋰*⋻-43A↬⋰*⋻-699=NaN","layer":2},{"info":"⋰*⋻5278≌⋰*⋻35A9=NaN","layer":3},{"info":"⪭⩑⪱NaN=⋰*⋻4773560","layer":2},{"info":"NaN⋕⪉⪜⋰*⋻4773560=⋰*⋻176","layer":1},{"info":"⫎≠⋺⋰*⋻176=⋰*⋻-595","layer":0}]}
{"id":187,"expression_no_base_symbol":"(($2284$⊉≛↸$3013$)∓⋝(∟⋨$4678$)⋝⋈⪟($6328$∌$6475$⨵⪆$4509$⩵∡$2586$))↬($1460$≳⇉$2288$⫥∨⫟($3558$⨸⪁$4566$)⩵∡(⇙⪊$2967$≦↸$6095$))","expression":"((⋰*⋻1797⊉≛↸⋰*⋻229A)∓⋝(∟⋨⋰*⋻3573)⋝⋈⪟(⋰*⋻4833∌⋰*⋻4957⨵⪆⋰*⋻342A⩵∡⋰*⋻1A41))↬(⋰*⋻1108≳⇉⋰*⋻17A0⫥∨⫟(⋰*⋻2745⨸⪁⋰*⋻3481)⩵∡(⇙⪊⋰*⋻2258≦↸⋰*⋻4641))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":52255896,"operation_count":14,"complexity_ratio":3732564.0,"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":2284,"base":11},"right_expr":{"type":"numeric_atoms","value":3013,"base":11}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":4678,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":6328,"base":11},"right_expr":{"type":"numeric_atoms","value":6475,"base":11}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4509,"base":11},"right_expr":{"type":"numeric_atoms","value":2586,"base":11}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1460,"base":11},"right_expr":{"type":"numeric_atoms","value":2288,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3558,"base":11},"right_expr":{"type":"numeric_atoms","value":4566,"base":11}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2967,"base":11},"right_expr":{"type":"numeric_atoms","value":6095,"base":11}}}}},"used_operators":["B5M0gjZbta","2DDjHMKMc0","PoHhknlbAi","DZ8iAZOCBD","ctOc4cKSDt","2DQ55sFlQl","8cLx32lpNA","Y7wcNGrDQJ","KYD54nUTWz","V0kx6qeWkN","g55IO6H4Gj","pB6Fcnrjim","RygbFNSyEJ"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","8HhzD0ZcuI","rGHVDoGpnC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=3013, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4568","layer":3},{"info":"number node, value=4678","layer":4},{"info":"compute unary expreesion, input=4678, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-4194","layer":3},{"info":"compute binary expreesion, left_input=4568, right_input=-4194, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=6328","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=6475, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6475","layer":3},{"info":"number node, value=4509","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=2586, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6553","layer":3},{"info":"compute binary expreesion, left_input=-6475, right_input=-6553, 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=67, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=67","layer":1},{"info":"number node, value=1460","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=2288, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=3558","layer":4},{"info":"number node, value=4566","layer":4},{"info":"compute binary expreesion, left_input=3558, right_input=4566, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16248","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16248, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2967","layer":4},{"info":"number node, value=6095","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=6095, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-17443","layer":3},{"info":"compute unary expreesion, input=-17443, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', 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":11,"result_base":11,"text":"((⋰*⋻1797⊉≛↸⋰*⋻229A)∓⋝(∟⋨⋰*⋻3573)⋝⋈⪟(⋰*⋻4833∌⋰*⋻4957⨵⪆⋰*⋻342A⩵∡⋰*⋻1A41))↬(⋰*⋻1108≳⇉⋰*⋻17A0⫥∨⫟(⋰*⋻2745⨸⪁⋰*⋻3481)⩵∡(⇙⪊⋰*⋻2258≦↸⋰*⋻4641))=NaN","reverse_text":"NaN=((⋰*⋻1797⊉≛↸⋰*⋻229A)∓⋝(∟⋨⋰*⋻3573)⋝⋈⪟(⋰*⋻4833∌⋰*⋻4957⨵⪆⋰*⋻342A⩵∡⋰*⋻1A41))↬(⋰*⋻1108≳⇉⋰*⋻17A0⫥∨⫟(⋰*⋻2745⨸⪁⋰*⋻3481)⩵∡(⇙⪊⋰*⋻2258≦↸⋰*⋻4641))","cot":[{"info":"⋰*⋻1797⊉≛↸⋰*⋻229A=⋰*⋻3483","layer":3},{"info":"∟⋨⋰*⋻3573=⋰*⋻-3173","layer":3},{"info":"⋰*⋻3483∓⋝⋰*⋻-3173=⋰*⋻61","layer":2},{"info":"⋰*⋻4833∌⋰*⋻4957=⋰*⋻-4957","layer":3},{"info":"⋰*⋻342A⩵∡⋰*⋻1A41=⋰*⋻-4A18","layer":3},{"info":"⋰*⋻-4957⨵⪆⋰*⋻-4A18=⋰*⋻136","layer":2},{"info":"⋰*⋻61⋝⋈⪟⋰*⋻136=⋰*⋻61","layer":1},{"info":"⋰*⋻1108≳⇉⋰*⋻17A0=NaN","layer":3},{"info":"⋰*⋻2745⨸⪁⋰*⋻3481=⋰*⋻11231","layer":3},{"info":"NaN⫥∨⫟⋰*⋻11231=NaN","layer":2},{"info":"⋰*⋻2258≦↸⋰*⋻4641=⋰*⋻-12118","layer":3},{"info":"⇙⪊⋰*⋻-12118=⋰*⋻0","layer":2},{"info":"NaN⩵∡⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻61↬NaN=NaN","layer":0}]}
{"id":188,"expression_no_base_symbol":"⨈⪑$7210$↤⩊$5936$≨($1486$⩘$2036$)⪢(($3881$⩷∴$3273$)≒∊($1198$⪭≯$1785$))","expression":"⨈⪑⋰*⋻5465↤⩊⋰*⋻4507≨(⋰*⋻1131⩘⋰*⋻1591)⪢((⋰*⋻2A09⩷∴⋰*⋻2506)≒∊(⋰*⋻99A⪭≯⋰*⋻1383))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":585,"operation_count":8,"complexity_ratio":73.125,"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":7210,"base":11},"right_expr":{"type":"numeric_atoms","value":5936,"base":11}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1486,"base":11},"right_expr":{"type":"numeric_atoms","value":2036,"base":11}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3881,"base":11},"right_expr":{"type":"numeric_atoms","value":3273,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1198,"base":11},"right_expr":{"type":"numeric_atoms","value":1785,"base":11}}}}},"used_operators":["mp94q5OcYM","dWAJyo7jo9","0KMCeP1Jsh","13rbtpv6ld","cHh1gJQ2o6","5KTvxBwnZo","9FxExcQeMw","XAx5wpdLa6"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","k8jYdgA6NY","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=7210","layer":4},{"info":"number node, value=5936","layer":4},{"info":"compute binary expreesion, left_input=7210, right_input=5936, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=2036, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=3881","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=3881, right_input=3273, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1184","layer":3},{"info":"number node, value=1198","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=1785, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1184, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨈⪑⋰*⋻5465↤⩊⋰*⋻4507≨(⋰*⋻1131⩘⋰*⋻1591)⪢((⋰*⋻2A09⩷∴⋰*⋻2506)≒∊(⋰*⋻99A⪭≯⋰*⋻1383))=NaN","reverse_text":"NaN=⨈⪑⋰*⋻5465↤⩊⋰*⋻4507≨(⋰*⋻1131⩘⋰*⋻1591)⪢((⋰*⋻2A09⩷∴⋰*⋻2506)≒∊(⋰*⋻99A⪭≯⋰*⋻1383))","cot":[{"info":"⋰*⋻5465↤⩊⋰*⋻4507=NaN","layer":3},{"info":"⋰*⋻1131⩘⋰*⋻1591=⋰*⋻136","layer":3},{"info":"NaN≨⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻2A09⩷∴⋰*⋻2506=⋰*⋻987","layer":3},{"info":"⋰*⋻99A⪭≯⋰*⋻1383=NaN","layer":3},{"info":"⋰*⋻987≒∊NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⨈⪑NaN=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"((⪁⇼$1716$)⋷$3893$⨽∌$3937$)⫥∨⫟((⩦⊞$5911$)∲⫓$1864$⫸⊐$7926$)≀⩗∶(⨈⪑($3217$⋷$3283$)≀⫉(⫟$2410$))","expression":"((⪁⇼⋰*⋻1320)⋷⋰*⋻2A1A⨽∌⋰*⋻2A5A)⫥∨⫟((⩦⊞⋰*⋻4494)∲⫓⋰*⋻1445⫸⊐⋰*⋻5A56)≀⩗∶(⨈⪑(⋰*⋻2465⋷⋰*⋻2515)≀⫉(⫟⋰*⋻18A1))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":532,"operation_count":12,"complexity_ratio":44.333333333333336,"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":1716,"base":11}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3893,"base":11},"right_expr":{"type":"numeric_atoms","value":3937,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":5911,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1864,"base":11},"right_expr":{"type":"numeric_atoms","value":7926,"base":11}}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3217,"base":11},"right_expr":{"type":"numeric_atoms","value":3283,"base":11}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2410,"base":11}}}}},"used_operators":["8INZBEW696","KYD54nUTWz","23Mk6UjR3U","ZNVVrZ94lY","9samAPKr6k","i8ToyICDmI","u7fv1HBiaC","mqXw5SEYmG","mp94q5OcYM","oZj3VtZNQx","z4E1FaHLuy"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1716","layer":4},{"info":"compute unary expreesion, input=1716, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=3893","layer":4},{"info":"number node, value=3937","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=3937, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-844","layer":2},{"info":"number node, value=5911","layer":4},{"info":"compute unary expreesion, input=5911, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5638","layer":3},{"info":"number node, value=1864","layer":4},{"info":"number node, value=7926","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=7926, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=31579","layer":3},{"info":"compute binary expreesion, left_input=-5638, right_input=31579, 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=-844, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3217","layer":4},{"info":"number node, value=3283","layer":4},{"info":"compute binary expreesion, left_input=3217, right_input=3283, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3349","layer":3},{"info":"number node, value=2410","layer":4},{"info":"compute unary expreesion, input=2410, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-6323","layer":3},{"info":"compute binary expreesion, left_input=3349, right_input=-6323, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⪁⇼⋰*⋻1320)⋷⋰*⋻2A1A⨽∌⋰*⋻2A5A)⫥∨⫟((⩦⊞⋰*⋻4494)∲⫓⋰*⋻1445⫸⊐⋰*⋻5A56)≀⩗∶(⨈⪑(⋰*⋻2465⋷⋰*⋻2515)≀⫉(⫟⋰*⋻18A1))=NaN","reverse_text":"NaN=((⪁⇼⋰*⋻1320)⋷⋰*⋻2A1A⨽∌⋰*⋻2A5A)⫥∨⫟((⩦⊞⋰*⋻4494)∲⫓⋰*⋻1445⫸⊐⋰*⋻5A56)≀⩗∶(⨈⪑(⋰*⋻2465⋷⋰*⋻2515)≀⫉(⫟⋰*⋻18A1))","cot":[{"info":"⪁⇼⋰*⋻1320=⋰*⋻354","layer":3},{"info":"⋰*⋻2A1A⨽∌⋰*⋻2A5A=⋰*⋻0","layer":3},{"info":"⋰*⋻354⋷⋰*⋻0=⋰*⋻-6A8","layer":2},{"info":"⩦⊞⋰*⋻4494=⋰*⋻-4266","layer":3},{"info":"⋰*⋻1445⫸⊐⋰*⋻5A56=⋰*⋻217A9","layer":3},{"info":"⋰*⋻-4266∲⫓⋰*⋻217A9=⋰*⋻0","layer":2},{"info":"⋰*⋻-6A8⫥∨⫟⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻2465⋷⋰*⋻2515=⋰*⋻2575","layer":3},{"info":"⫟⋰*⋻18A1=⋰*⋻-4829","layer":3},{"info":"⋰*⋻2575≀⫉⋰*⋻-4829=⋰*⋻2136","layer":2},{"info":"⨈⪑⋰*⋻2136=⋰*⋻71A","layer":1},{"info":"NaN≀⩗∶⋰*⋻71A=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"(($4046$⋕⪉⪜$2112$⨘⋶⪀)⩟)⪝((⪲⇎(⨂⪏⇭$1300$))⩘(($1077$⨽⪊≇)*(∑⇻≧$5601$)))","expression":"((⋰*⋻3049⋕⪉⪜⋰*⋻1650⨘⋶⪀)⩟)⪝((⪲⇎(⨂⪏⇭⋰*⋻A82))⩘((⋰*⋻89A⨽⪊≇)*(∑⇻≧⋰*⋻4232)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1515,"operation_count":10,"complexity_ratio":151.5,"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":4046,"base":11},"right_expr":{"type":"numeric_atoms","value":2112,"base":11}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1300,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":1077,"base":11}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":5601,"base":11}}}}},"used_operators":["wicAB68Tmb","fOIeswaMU4","XVKwrhznBb","z6LnFrNh4i","cHh1gJQ2o6","XPYlsWDdGa","AYdpE9sXAk","9HNa5Wba9A","nlCqmYiOvY","l1M9WJ3V7u"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4046","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=4046, right_input=2112, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":1},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2921","layer":3},{"info":"compute unary expreesion, input=2921, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5842","layer":2},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=1628","layer":3},{"info":"number node, value=5601","layer":4},{"info":"compute unary expreesion, input=5601, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=1628, right_input=-852, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1387056","layer":2},{"info":"compute binary expreesion, left_input=5842, right_input=-1387056, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3049⋕⪉⪜⋰*⋻1650⨘⋶⪀)⩟)⪝((⪲⇎(⨂⪏⇭⋰*⋻A82))⩘((⋰*⋻89A⨽⪊≇)*(∑⇻≧⋰*⋻4232)))=NaN","reverse_text":"NaN=((⋰*⋻3049⋕⪉⪜⋰*⋻1650⨘⋶⪀)⩟)⪝((⪲⇎(⨂⪏⇭⋰*⋻A82))⩘((⋰*⋻89A⨽⪊≇)*(∑⇻≧⋰*⋻4232)))","cot":[{"info":"⋰*⋻3049⋕⪉⪜⋰*⋻1650=⋰*⋻2118","layer":3},{"info":"⋰*⋻2118⨘⋶⪀=NaN","layer":2},{"info":"NaN⩟=NaN","layer":1},{"info":"⨂⪏⇭⋰*⋻A82=⋰*⋻2216","layer":3},{"info":"⪲⇎⋰*⋻2216=⋰*⋻4431","layer":2},{"info":"⋰*⋻89A⨽⪊≇=⋰*⋻1250","layer":3},{"info":"∑⇻≧⋰*⋻4232=⋰*⋻-705","layer":3},{"info":"⋰*⋻1250*⋰*⋻-705=⋰*⋻-868130","layer":2},{"info":"⋰*⋻4431⩘⋰*⋻-868130=⋰*⋻136","layer":1},{"info":"NaN⪝⋰*⋻136=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"((↞≼($1099$⩁⩘$2469$))⪄$2748$⊬⨰$4377$⋾⨃∁$6064$∓⋝$3498$)⨚(($3538$⨑≵⋬$4293$)⫁⪎$1450$⩦$4549$⇼⇔∾(≯($8113$⊝⪿⪼$1610$)))","expression":"((↞≼(⋰*⋻90A⩁⩘⋰*⋻1945))⪄⋰*⋻2079⊬⨰⋰*⋻331A⋾⨃∁⋰*⋻4613∓⋝⋰*⋻26A0)⨚((⋰*⋻2727⨑≵⋬⋰*⋻3253)⫁⪎⋰*⋻10A9⩦⋰*⋻3466⇼⇔∾(≯(⋰*⋻6106⊝⪿⪼⋰*⋻1234)))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":365,"operation_count":13,"complexity_ratio":28.076923076923077,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1099,"base":11},"right_expr":{"type":"numeric_atoms","value":2469,"base":11}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2748,"base":11},"right_expr":{"type":"numeric_atoms","value":4377,"base":11}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":6064,"base":11},"right_expr":{"type":"numeric_atoms","value":3498,"base":11}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3538,"base":11},"right_expr":{"type":"numeric_atoms","value":4293,"base":11}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1450,"base":11},"right_expr":{"type":"numeric_atoms","value":4549,"base":11}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":8113,"base":11},"right_expr":{"type":"numeric_atoms","value":1610,"base":11}}}}},"used_operators":["nREPSIbpBE","SUmda5xLS4","DE7zCoGJt9","gub5Cegaqo","212REbPD9h","s3Fd5m9Dh2","PoHhknlbAi","tifHPKVTfV","xRrnTEsQ6j","XnXgA4xnOs","0kmYd0q39Y","keWfFq85dY","3Oe9XWJUTD"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","IWmyXbctLI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⋰*⋻-13695679","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=2469, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10824","layer":3},{"info":"compute unary expreesion, input=10824, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=86178","layer":2},{"info":"number node, value=2748","layer":4},{"info":"number node, value=4377","layer":4},{"info":"compute binary expreesion, left_input=2748, right_input=4377, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=19200","layer":3},{"info":"number node, value=6064","layer":4},{"info":"number node, value=3498","layer":4},{"info":"compute binary expreesion, left_input=6064, right_input=3498, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=19200, right_input=67, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=43992","layer":2},{"info":"compute binary expreesion, left_input=86178, right_input=43992, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-12926401","layer":1},{"info":"number node, value=3538","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=3538, right_input=4293, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-10982","layer":3},{"info":"number node, value=1450","layer":4},{"info":"number node, value=4549","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=4549, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2900","layer":3},{"info":"compute binary expreesion, left_input=-10982, right_input=2900, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-13882","layer":2},{"info":"number node, value=8113","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=8113, right_input=1610, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=112093","layer":3},{"info":"compute unary expreesion, input=112093, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-13882, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=13882","layer":1},{"info":"compute binary expreesion, left_input=-12926401, right_input=13882, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-25907396","layer":0}],"base":11,"result_base":11,"text":"((↞≼(⋰*⋻90A⩁⩘⋰*⋻1945))⪄⋰*⋻2079⊬⨰⋰*⋻331A⋾⨃∁⋰*⋻4613∓⋝⋰*⋻26A0)⨚((⋰*⋻2727⨑≵⋬⋰*⋻3253)⫁⪎⋰*⋻10A9⩦⋰*⋻3466⇼⇔∾(≯(⋰*⋻6106⊝⪿⪼⋰*⋻1234)))=⋰*⋻-13695679","reverse_text":"⋰*⋻-13695679=((↞≼(⋰*⋻90A⩁⩘⋰*⋻1945))⪄⋰*⋻2079⊬⨰⋰*⋻331A⋾⨃∁⋰*⋻4613∓⋝⋰*⋻26A0)⨚((⋰*⋻2727⨑≵⋬⋰*⋻3253)⫁⪎⋰*⋻10A9⩦⋰*⋻3466⇼⇔∾(≯(⋰*⋻6106⊝⪿⪼⋰*⋻1234)))","cot":[{"info":"⋰*⋻90A⩁⩘⋰*⋻1945=⋰*⋻8150","layer":3},{"info":"↞≼⋰*⋻8150=⋰*⋻59824","layer":2},{"info":"⋰*⋻2079⊬⨰⋰*⋻331A=⋰*⋻13475","layer":3},{"info":"⋰*⋻4613∓⋝⋰*⋻26A0=⋰*⋻61","layer":3},{"info":"⋰*⋻13475⋾⨃∁⋰*⋻61=⋰*⋻30063","layer":2},{"info":"⋰*⋻59824⪄⋰*⋻30063=⋰*⋻-7329884","layer":1},{"info":"⋰*⋻2727⨑≵⋬⋰*⋻3253=⋰*⋻-8284","layer":3},{"info":"⋰*⋻10A9⩦⋰*⋻3466=⋰*⋻21A7","layer":3},{"info":"⋰*⋻-8284⫁⪎⋰*⋻21A7=⋰*⋻-A480","layer":2},{"info":"⋰*⋻6106⊝⪿⪼⋰*⋻1234=⋰*⋻77243","layer":3},{"info":"≯⋰*⋻77243=⋰*⋻0","layer":2},{"info":"⋰*⋻-A480⇼⇔∾⋰*⋻0=⋰*⋻A480","layer":1},{"info":"⋰*⋻-7329884⨚⋰*⋻A480=⋰*⋻-13695679","layer":0}]}
{"id":192,"expression_no_base_symbol":"⪛⨧(∓⪦(($7541$⋷$2231$)⇯⋐))","expression":"⪛⨧(∓⪦((⋰*⋻5736⋷⋰*⋻1749)⇯⋐))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":4,"complexity_ratio":15.75,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7541,"base":11},"right_expr":{"type":"numeric_atoms","value":2231,"base":11}}}}},"used_operators":["6NJAcO2OWT","D309nIvmXG","LkLIoiE525","23Mk6UjR3U"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-7963","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7541","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=7541, right_input=2231, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3079","layer":3},{"info":"compute unary expreesion, input=-3079, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=-2146","layer":2},{"info":"compute unary expreesion, input=-2146, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-5938","layer":1},{"info":"compute unary expreesion, input=-5938, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-10475","layer":0}],"base":11,"result_base":11,"text":"⪛⨧(∓⪦((⋰*⋻5736⋷⋰*⋻1749)⇯⋐))=⋰*⋻-7963","reverse_text":"⋰*⋻-7963=⪛⨧(∓⪦((⋰*⋻5736⋷⋰*⋻1749)⇯⋐))","cot":[{"info":"⋰*⋻5736⋷⋰*⋻1749=⋰*⋻-234A","layer":3},{"info":"⋰*⋻-234A⇯⋐=⋰*⋻-1681","layer":2},{"info":"∓⪦⋰*⋻-1681=⋰*⋻-4509","layer":1},{"info":"⪛⨧⋰*⋻-4509=⋰*⋻-7963","layer":0}]}
{"id":193,"expression_no_base_symbol":"(⊥(⨴⫝$2952$⊋$1029$))⨔⇊(⫵↿$5609$⫞⩸⩒$4223$⨸(⨙⪌$5372$))","expression":"(⊥(⨴⫝⋰*⋻2244⊋⋰*⋻856))⨔⇊(⫵↿⋰*⋻423A⫞⩸⩒⋰*⋻319A⨸(⨙⪌⋰*⋻4044))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10932,"operation_count":8,"complexity_ratio":1366.5,"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":2952,"base":11},"right_expr":{"type":"numeric_atoms","value":1029,"base":11}}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5609,"base":11},"right_expr":{"type":"numeric_atoms","value":4223,"base":11}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":5372,"base":11}}}}},"used_operators":["JclMnS0uGI","Q3PJZHRvZv","SVb2v531z1","W4tP9CfskL","ivGwdmUAux","KmoU8R5UQR","XGcMNugi78","vEGLkm4Z2k"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","fu6greOZ01","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⋰*⋻115","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=1029, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=14887656","layer":3},{"info":"compute unary expreesion, input=14887656, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute unary expreesion, input=2828198, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=5609","layer":4},{"info":"number node, value=4223","layer":4},{"info":"compute binary expreesion, left_input=5609, right_input=4223, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4223","layer":3},{"info":"number node, value=5372","layer":4},{"info":"compute unary expreesion, input=5372, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=4223, right_input=868, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8446","layer":2},{"info":"compute unary expreesion, input=8446, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=137, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=137","layer":0}],"base":11,"result_base":11,"text":"(⊥(⨴⫝⋰*⋻2244⊋⋰*⋻856))⨔⇊(⫵↿⋰*⋻423A⫞⩸⩒⋰*⋻319A⨸(⨙⪌⋰*⋻4044))=⋰*⋻115","reverse_text":"⋰*⋻115=(⊥(⨴⫝⋰*⋻2244⊋⋰*⋻856))⨔⇊(⫵↿⋰*⋻423A⫞⩸⩒⋰*⋻319A⨸(⨙⪌⋰*⋻4044))","cot":[{"info":"⋰*⋻2244⊋⋰*⋻856=⋰*⋻8449353","layer":3},{"info":"⨴⫝⋰*⋻8449353=⋰*⋻166195A","layer":2},{"info":"⊥⋰*⋻166195A=NaN","layer":1},{"info":"⋰*⋻423A⫞⩸⩒⋰*⋻319A=⋰*⋻319A","layer":3},{"info":"⨙⪌⋰*⋻4044=⋰*⋻71A","layer":3},{"info":"⋰*⋻319A⨸⋰*⋻71A=⋰*⋻6389","layer":2},{"info":"⫵↿⋰*⋻6389=⋰*⋻115","layer":1},{"info":"NaN⨔⇊⋰*⋻115=⋰*⋻115","layer":0}]}
{"id":194,"expression_no_base_symbol":"($4115$⨥⫆$1838$⪭≯$6148$⊋$5505$)⨟⋌⩍($8689$↙$3697$)⇂≾⫗($1047$⨵⪆$1194$)↱(⩏⊷≩$4743$)⊝⪿⪼($1948$⨑≵⋬$4786$)≬⇓($1849$+⇶⊼$2208$/$6124$⇴$4978$)","expression":"(⋰*⋻3101⨥⫆⋰*⋻1421⪭≯⋰*⋻468A⊋⋰*⋻4155)⨟⋌⩍(⋰*⋻658A↙⋰*⋻2861)⇂≾⫗(⋰*⋻872⨵⪆⋰*⋻996)↱(⩏⊷≩⋰*⋻3622)⊝⪿⪼(⋰*⋻1511⨑≵⋬⋰*⋻3661)≬⇓(⋰*⋻1431+⇶⊼⋰*⋻1728/⋰*⋻4668⇴⋰*⋻3816)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8180,"operation_count":15,"complexity_ratio":545.3333333333334,"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":4115,"base":11},"right_expr":{"type":"numeric_atoms","value":1838,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6148,"base":11},"right_expr":{"type":"numeric_atoms","value":5505,"base":11}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8689,"base":11},"right_expr":{"type":"numeric_atoms","value":3697,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1047,"base":11},"right_expr":{"type":"numeric_atoms","value":1194,"base":11}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4743,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1948,"base":11},"right_expr":{"type":"numeric_atoms","value":4786,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1849,"base":11},"right_expr":{"type":"numeric_atoms","value":2208,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6124,"base":11},"right_expr":{"type":"numeric_atoms","value":4978,"base":11}}}}},"used_operators":["SR5kFfdi6N","rGHVDoGpnC","XAx5wpdLa6","yXekIHxTD4","W4tP9CfskL","aBQ6xLxuTc","yyfyN0ffXY","2DQ55sFlQl","jWTQ2TZYIH","3Oe9XWJUTD","uOZ1tnYMDE","XnXgA4xnOs","XhwjNDsVaA","TpPTUOHfaN","4JB6nKBMSY"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Tcnh7f0tEr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⋰*⋻-863951","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4115","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=4115, right_input=1838, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3552","layer":3},{"info":"number node, value=6148","layer":4},{"info":"number node, value=5505","layer":4},{"info":"compute binary expreesion, left_input=6148, right_input=5505, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=29596072","layer":3},{"info":"compute binary expreesion, left_input=3552, right_input=29596072, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=8689","layer":4},{"info":"number node, value=3697","layer":4},{"info":"compute binary expreesion, left_input=8689, right_input=3697, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11091","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1194, 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=-11091, right_input=160, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-676, 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=4743","layer":4},{"info":"compute unary expreesion, input=4743, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=9185","layer":3},{"info":"number node, value=1948","layer":4},{"info":"number node, value=4786","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=4786, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-22383","layer":3},{"info":"compute binary expreesion, left_input=9185, right_input=-22383, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=174015","layer":2},{"info":"number node, value=1849","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=2208, 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=6124","layer":4},{"info":"number node, value=4978","layer":4},{"info":"compute binary expreesion, left_input=6124, right_input=4978, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=46314","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=46314, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=174015, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-174588","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-174588, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-1381392","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3101⨥⫆⋰*⋻1421⪭≯⋰*⋻468A⊋⋰*⋻4155)⨟⋌⩍(⋰*⋻658A↙⋰*⋻2861)⇂≾⫗(⋰*⋻872⨵⪆⋰*⋻996)↱(⩏⊷≩⋰*⋻3622)⊝⪿⪼(⋰*⋻1511⨑≵⋬⋰*⋻3661)≬⇓(⋰*⋻1431+⇶⊼⋰*⋻1728/⋰*⋻4668⇴⋰*⋻3816)=⋰*⋻-863951","reverse_text":"⋰*⋻-863951=(⋰*⋻3101⨥⫆⋰*⋻1421⪭≯⋰*⋻468A⊋⋰*⋻4155)⨟⋌⩍(⋰*⋻658A↙⋰*⋻2861)⇂≾⫗(⋰*⋻872⨵⪆⋰*⋻996)↱(⩏⊷≩⋰*⋻3622)⊝⪿⪼(⋰*⋻1511⨑≵⋬⋰*⋻3661)≬⇓(⋰*⋻1431+⇶⊼⋰*⋻1728/⋰*⋻4668⇴⋰*⋻3816)","cot":[{"info":"⋰*⋻3101⨥⫆⋰*⋻1421=⋰*⋻273A","layer":3},{"info":"⋰*⋻468A⊋⋰*⋻4155=⋰*⋻15784A70","layer":3},{"info":"⋰*⋻273A⪭≯⋰*⋻15784A70=NaN","layer":2},{"info":"⋰*⋻658A↙⋰*⋻2861=⋰*⋻-8373","layer":3},{"info":"⋰*⋻872⨵⪆⋰*⋻996=⋰*⋻136","layer":3},{"info":"⋰*⋻-8373⇂≾⫗⋰*⋻136=⋰*⋻-565","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻-565=NaN","layer":1},{"info":"⩏⊷≩⋰*⋻3622=⋰*⋻69A0","layer":3},{"info":"⋰*⋻1511⨑≵⋬⋰*⋻3661=⋰*⋻-158A9","layer":3},{"info":"⋰*⋻69A0⊝⪿⪼⋰*⋻-158A9=⋰*⋻109816","layer":2},{"info":"⋰*⋻1431+⇶⊼⋰*⋻1728=NaN","layer":3},{"info":"⋰*⋻4668⇴⋰*⋻3816=⋰*⋻31884","layer":3},{"info":"NaN/⋰*⋻31884=NaN","layer":2},{"info":"⋰*⋻109816≬⇓NaN=⋰*⋻-10A197","layer":1},{"info":"NaN↱⋰*⋻-10A197=⋰*⋻-863951","layer":0}]}
{"id":195,"expression_no_base_symbol":"(∡(∐⩳⋚$1929$)∳⫺(⋂$1124$))⨲∙","expression":"(∡(∐⩳⋚⋰*⋻14A4)∳⫺(⋂⋰*⋻932))⨲∙","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":704,"operation_count":5,"complexity_ratio":140.8,"tree":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1929,"base":11}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1124,"base":11}}}}},"used_operators":["cRahaglYVE","pRsWfj4Fpp","AzXXKTstlj","SL6IHkK8vl","BUOGQAYlQx"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⋰*⋻A96890A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1929","layer":4},{"info":"compute unary expreesion, input=1929, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=272896","layer":3},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-15140","layer":3},{"info":"compute binary expreesion, left_input=272896, right_input=-15140, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=1560","layer":1},{"info":"compute unary expreesion, input=1560, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=19264662","layer":0}],"base":11,"result_base":11,"text":"(∡(∐⩳⋚⋰*⋻14A4)∳⫺(⋂⋰*⋻932))⨲∙=⋰*⋻A96890A","reverse_text":"⋰*⋻A96890A=(∡(∐⩳⋚⋰*⋻14A4)∳⫺(⋂⋰*⋻932))⨲∙","cot":[{"info":"∐⩳⋚⋰*⋻14A4=⋰*⋻177038","layer":3},{"info":"⋂⋰*⋻932=⋰*⋻-10414","layer":3},{"info":"⋰*⋻177038∳⫺⋰*⋻-10414=⋰*⋻-217","layer":2},{"info":"∡⋰*⋻-217=⋰*⋻1199","layer":1},{"info":"⋰*⋻1199⨲∙=⋰*⋻A96890A","layer":0}]}
{"id":196,"expression_no_base_symbol":"(($5592$≧⫂∧$1209$)⩘$4127$⫯⪬∳$5072$∷(⊆⋠($7555$⊋≦⊧$7900$)))⨪↰⇹($1099$⨜⨶$1812$∼($1179$∠⫱$2778$))≹⇙⪍($7490$⋥≓≎$3074$≀⩗∶$1337$⊬⨰$2879$)","expression":"((⋰*⋻4224≧⫂∧⋰*⋻9AA)⩘⋰*⋻3112⫯⪬∳⋰*⋻38A1∷(⊆⋠(⋰*⋻5749⊋≦⊧⋰*⋻5A32)))⨪↰⇹(⋰*⋻90A⨜⨶⋰*⋻13A8∼(⋰*⋻982∠⫱⋰*⋻20A6))≹⇙⪍(⋰*⋻569A⋥≓≎⋰*⋻2345≀⩗∶⋰*⋻1006⊬⨰⋰*⋻2188)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5249,"operation_count":14,"complexity_ratio":374.92857142857144,"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":5592,"base":11},"right_expr":{"type":"numeric_atoms","value":1209,"base":11}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4127,"base":11},"right_expr":{"type":"numeric_atoms","value":5072,"base":11}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7555,"base":11},"right_expr":{"type":"numeric_atoms","value":7900,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1099,"base":11},"right_expr":{"type":"numeric_atoms","value":1812,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1179,"base":11},"right_expr":{"type":"numeric_atoms","value":2778,"base":11}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7490,"base":11},"right_expr":{"type":"numeric_atoms","value":3074,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1337,"base":11},"right_expr":{"type":"numeric_atoms","value":2879,"base":11}}}}},"used_operators":["tmPS8pqC7x","D3AQDKkPcf","cHh1gJQ2o6","Ph9nP6C5qx","d7ASUq0ydm","EBhcHTkKd8","oRDoc9rAEX","AHs5Up7iyr","DyGG3AbaNP","HiPekx5b7W","QvoQhV0rrE","8INZBEW696","Qy55tPpLXF","s3Fd5m9Dh2"],"dependent_operators":["rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5592","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=5592, right_input=1209, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=736","layer":3},{"info":"number node, value=4127","layer":4},{"info":"number node, value=5072","layer":4},{"info":"compute binary expreesion, left_input=4127, right_input=5072, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=15596","layer":3},{"info":"compute binary expreesion, left_input=736, right_input=15596, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=7555","layer":4},{"info":"number node, value=7900","layer":4},{"info":"compute binary expreesion, left_input=7555, right_input=7900, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-15215","layer":3},{"info":"compute unary expreesion, input=-15215, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=3979, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3979","layer":1},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1812, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3368","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=2778","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=2778, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-3368, right_input=1234, 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=7490","layer":4},{"info":"number node, value=3074","layer":4},{"info":"compute binary expreesion, left_input=7490, right_input=3074, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1309","layer":3},{"info":"number node, value=1337","layer":4},{"info":"number node, value=2879","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=2879, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11797","layer":3},{"info":"compute binary expreesion, left_input=-1309, right_input=11797, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=30","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30, 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=3979, 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=3979","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4224≧⫂∧⋰*⋻9AA)⩘⋰*⋻3112⫯⪬∳⋰*⋻38A1∷(⊆⋠(⋰*⋻5749⊋≦⊧⋰*⋻5A32)))⨪↰⇹(⋰*⋻90A⨜⨶⋰*⋻13A8∼(⋰*⋻982∠⫱⋰*⋻20A6))≹⇙⪍(⋰*⋻569A⋥≓≎⋰*⋻2345≀⩗∶⋰*⋻1006⊬⨰⋰*⋻2188)=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=((⋰*⋻4224≧⫂∧⋰*⋻9AA)⩘⋰*⋻3112⫯⪬∳⋰*⋻38A1∷(⊆⋠(⋰*⋻5749⊋≦⊧⋰*⋻5A32)))⨪↰⇹(⋰*⋻90A⨜⨶⋰*⋻13A8∼(⋰*⋻982∠⫱⋰*⋻20A6))≹⇙⪍(⋰*⋻569A⋥≓≎⋰*⋻2345≀⩗∶⋰*⋻1006⊬⨰⋰*⋻2188)","cot":[{"info":"⋰*⋻4224≧⫂∧⋰*⋻9AA=⋰*⋻60A","layer":3},{"info":"⋰*⋻3112⫯⪬∳⋰*⋻38A1=⋰*⋻10799","layer":3},{"info":"⋰*⋻60A⩘⋰*⋻10799=⋰*⋻136","layer":2},{"info":"⋰*⋻5749⊋≦⊧⋰*⋻5A32=⋰*⋻-10482","layer":3},{"info":"⊆⋠⋰*⋻-10482=⋰*⋻2A98","layer":2},{"info":"⋰*⋻136∷⋰*⋻2A98=⋰*⋻2A98","layer":1},{"info":"⋰*⋻90A⨜⨶⋰*⋻13A8=⋰*⋻-2592","layer":3},{"info":"⋰*⋻982∠⫱⋰*⋻20A6=⋰*⋻A22","layer":3},{"info":"⋰*⋻-2592∼⋰*⋻A22=NaN","layer":2},{"info":"⋰*⋻569A⋥≓≎⋰*⋻2345=⋰*⋻-A90","layer":3},{"info":"⋰*⋻1006⊬⨰⋰*⋻2188=⋰*⋻8955","layer":3},{"info":"⋰*⋻-A90≀⩗∶⋰*⋻8955=⋰*⋻28","layer":2},{"info":"NaN≹⇙⪍⋰*⋻28=NaN","layer":1},{"info":"⋰*⋻2A98⨪↰⇹NaN=⋰*⋻2A98","layer":0}]}
{"id":197,"expression_no_base_symbol":"((⨑⩽⪐$2228$)⨐($1801$⩵∡$4339$)⨸⪁($1327$⩵∡$1001$)≧⫂∧$1575$⨔⇊$5419$)⨔⇊(($2096$≄⊠$2448$)⫣⪄⊒($1568$∥⊢⊲$2132$)⨶)","expression":"((⨑⩽⪐⋰*⋻1746)⨐(⋰*⋻1398⩵∡⋰*⋻3295)⨸⪁(⋰*⋻AA7⩵∡⋰*⋻830)≧⫂∧⋰*⋻1202⨔⇊⋰*⋻4087)⨔⇊((⋰*⋻1636≄⊠⋰*⋻1926)⫣⪄⊒(⋰*⋻11A6∥⊢⊲⋰*⋻1669)⨶)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":176,"operation_count":12,"complexity_ratio":14.666666666666666,"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":2228,"base":11}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1801,"base":11},"right_expr":{"type":"numeric_atoms","value":4339,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1327,"base":11},"right_expr":{"type":"numeric_atoms","value":1001,"base":11}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1575,"base":11},"right_expr":{"type":"numeric_atoms","value":5419,"base":11}}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2096,"base":11},"right_expr":{"type":"numeric_atoms","value":2448,"base":11}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1568,"base":11},"right_expr":{"type":"numeric_atoms","value":2132,"base":11}}}}},"used_operators":["JclMnS0uGI","g55IO6H4Gj","Noe24qw2ks","AF7qkfDlqP","Y7wcNGrDQJ","Ph9nP6C5qx","rFxw8gIMmB","RabNbG55vr","vXNesLlMH1","v1UQAVDJRr"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","f6k1SAg4EE","Qy55tPpLXF","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2228","layer":4},{"info":"compute unary expreesion, input=2228, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1955","layer":3},{"info":"number node, value=1801","layer":4},{"info":"number node, value=4339","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=4339, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=616","layer":3},{"info":"compute binary expreesion, left_input=-1955, right_input=616, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=3910","layer":2},{"info":"number node, value=1327","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=1001, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1774","layer":3},{"info":"number node, value=1575","layer":4},{"info":"number node, value=5419","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=5419, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5419","layer":3},{"info":"compute binary expreesion, left_input=-1774, right_input=5419, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4946","layer":2},{"info":"compute binary expreesion, left_input=3910, right_input=4946, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17712","layer":1},{"info":"number node, value=2096","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=2448, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=43836","layer":3},{"info":"number node, value=1568","layer":4},{"info":"number node, value=2132","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=2132, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=43836, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-1426","layer":1},{"info":"compute binary expreesion, left_input=17712, right_input=-1426, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⨑⩽⪐⋰*⋻1746)⨐(⋰*⋻1398⩵∡⋰*⋻3295)⨸⪁(⋰*⋻AA7⩵∡⋰*⋻830)≧⫂∧⋰*⋻1202⨔⇊⋰*⋻4087)⨔⇊((⋰*⋻1636≄⊠⋰*⋻1926)⫣⪄⊒(⋰*⋻11A6∥⊢⊲⋰*⋻1669)⨶)=⋰*⋻61","reverse_text":"⋰*⋻61=((⨑⩽⪐⋰*⋻1746)⨐(⋰*⋻1398⩵∡⋰*⋻3295)⨸⪁(⋰*⋻AA7⩵∡⋰*⋻830)≧⫂∧⋰*⋻1202⨔⇊⋰*⋻4087)⨔⇊((⋰*⋻1636≄⊠⋰*⋻1926)⫣⪄⊒(⋰*⋻11A6∥⊢⊲⋰*⋻1669)⨶)","cot":[{"info":"⨑⩽⪐⋰*⋻1746=⋰*⋻-1518","layer":3},{"info":"⋰*⋻1398⩵∡⋰*⋻3295=⋰*⋻510","layer":3},{"info":"⋰*⋻-1518⨐⋰*⋻510=⋰*⋻2A35","layer":2},{"info":"⋰*⋻AA7⩵∡⋰*⋻830=⋰*⋻-1373","layer":3},{"info":"⋰*⋻1202⨔⇊⋰*⋻4087=⋰*⋻4087","layer":3},{"info":"⋰*⋻-1373≧⫂∧⋰*⋻4087=⋰*⋻3797","layer":2},{"info":"⋰*⋻2A35⨸⪁⋰*⋻3797=⋰*⋻12342","layer":1},{"info":"⋰*⋻1636≄⊠⋰*⋻1926=⋰*⋻2AA31","layer":3},{"info":"⋰*⋻11A6∥⊢⊲⋰*⋻1669=NaN","layer":3},{"info":"⋰*⋻2AA31⫣⪄⊒NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻136⨶=⋰*⋻-1087","layer":1},{"info":"⋰*⋻12342⨔⇊⋰*⋻-1087=⋰*⋻61","layer":0}]}
{"id":198,"expression_no_base_symbol":"($3814$⫘$6156$)∊∟⩊($1515$≎⊠⪸$5041$)⋳⪒(($2810$⨹)⨳⩥⨓(⫟$4334$))↱($1244$⪛$1797$*(⋣$2160$))⪡($1635$∥⊢⊲$1310$⪔$4249$⨑⩅≇$5312$)","expression":"(⋰*⋻2958⫘⋰*⋻4697)∊∟⩊(⋰*⋻1158≎⊠⪸⋰*⋻3873)⋳⪒((⋰*⋻2125⨹)⨳⩥⨓(⫟⋰*⋻3290))↱(⋰*⋻A31⪛⋰*⋻1394*(⋣⋰*⋻1694))⪡(⋰*⋻1257∥⊢⊲⋰*⋻A91⪔⋰*⋻3213⨑⩅≇⋰*⋻3A9A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27221,"operation_count":15,"complexity_ratio":1814.7333333333333,"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":3814,"base":11},"right_expr":{"type":"numeric_atoms","value":6156,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1515,"base":11},"right_expr":{"type":"numeric_atoms","value":5041,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":2810,"base":11}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":4334,"base":11}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1244,"base":11},"right_expr":{"type":"numeric_atoms","value":1797,"base":11}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2160,"base":11}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1635,"base":11},"right_expr":{"type":"numeric_atoms","value":1310,"base":11}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4249,"base":11},"right_expr":{"type":"numeric_atoms","value":5312,"base":11}}}}},"used_operators":["SR5kFfdi6N","12rbrZMWeM","ddLRYrp01A","48vC8HMD2b","bJkvcejdHO","nCS4ZIUYfx","UnCoSGIALn","z4E1FaHLuy","oraRL2iQuh","9HNa5Wba9A","uFcxV4UQCh","zQWRhDnn8F","GjBEYRfMaF","v1UQAVDJRr","h92wMvzauj"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","mp7IySMOzn","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","EBcxylXtPf","rGHVDoGpnC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3814","layer":4},{"info":"number node, value=6156","layer":4},{"info":"compute binary expreesion, left_input=3814, right_input=6156, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4489669","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=5041","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=5041, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=391912","layer":3},{"info":"compute binary expreesion, left_input=4489669, right_input=391912, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=391912","layer":2},{"info":"number node, value=2810","layer":4},{"info":"compute unary expreesion, input=2810, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=5620","layer":3},{"info":"number node, value=4334","layer":4},{"info":"compute unary expreesion, input=4334, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-12095","layer":3},{"info":"compute binary expreesion, left_input=5620, right_input=-12095, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-17715","layer":2},{"info":"compute binary expreesion, left_input=391912, right_input=-17715, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=801252","layer":1},{"info":"number node, value=1244","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1797, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1244","layer":3},{"info":"number node, value=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-634945","layer":3},{"info":"compute binary expreesion, left_input=1244, right_input=-634945, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-789871580","layer":2},{"info":"number node, value=1635","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=1310, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4249","layer":4},{"info":"number node, value=5312","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=5312, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-12747","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12747, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-789871580, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1579744128","layer":1},{"info":"compute binary expreesion, left_input=801252, right_input=1579744128, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2958⫘⋰*⋻4697)∊∟⩊(⋰*⋻1158≎⊠⪸⋰*⋻3873)⋳⪒((⋰*⋻2125⨹)⨳⩥⨓(⫟⋰*⋻3290))↱(⋰*⋻A31⪛⋰*⋻1394*(⋣⋰*⋻1694))⪡(⋰*⋻1257∥⊢⊲⋰*⋻A91⪔⋰*⋻3213⨑⩅≇⋰*⋻3A9A)=NaN","reverse_text":"NaN=(⋰*⋻2958⫘⋰*⋻4697)∊∟⩊(⋰*⋻1158≎⊠⪸⋰*⋻3873)⋳⪒((⋰*⋻2125⨹)⨳⩥⨓(⫟⋰*⋻3290))↱(⋰*⋻A31⪛⋰*⋻1394*(⋣⋰*⋻1694))⪡(⋰*⋻1257∥⊢⊲⋰*⋻A91⪔⋰*⋻3213⨑⩅≇⋰*⋻3A9A)","cot":[{"info":"⋰*⋻2958⫘⋰*⋻4697=⋰*⋻2597178","layer":3},{"info":"⋰*⋻1158≎⊠⪸⋰*⋻3873=⋰*⋻2484A4","layer":3},{"info":"⋰*⋻2597178∊∟⩊⋰*⋻2484A4=⋰*⋻2484A4","layer":2},{"info":"⋰*⋻2125⨹=⋰*⋻424A","layer":3},{"info":"⫟⋰*⋻3290=⋰*⋻-90A6","layer":3},{"info":"⋰*⋻424A⨳⩥⨓⋰*⋻-90A6=⋰*⋻-12345","layer":2},{"info":"⋰*⋻2484A4⋳⪒⋰*⋻-12345=⋰*⋻4A7AA1","layer":1},{"info":"⋰*⋻A31⪛⋰*⋻1394=⋰*⋻A31","layer":3},{"info":"⋣⋰*⋻1694=⋰*⋻-3A4053","layer":3},{"info":"⋰*⋻A31*⋰*⋻-3A4053=⋰*⋻-375953233","layer":2},{"info":"⋰*⋻1257∥⊢⊲⋰*⋻A91=NaN","layer":3},{"info":"⋰*⋻3213⨑⩅≇⋰*⋻3A9A=⋰*⋻-9639","layer":3},{"info":"NaN⪔⋰*⋻-9639=NaN","layer":2},{"info":"⋰*⋻-375953233⪡NaN=⋰*⋻7407A7166","layer":1},{"info":"⋰*⋻4A7AA1↱⋰*⋻7407A7166=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"(≱⇩⩕(∥⊫$2547$⨑⩅≇$1347$))⋭≵($5941$↱$7925$)≴⪞⇿(⇋↷$2023$)⫰⋱(↸⊣($7385$∠⫱$2166$))","expression":"(≱⇩⩕(∥⊫⋰*⋻1A06⨑⩅≇⋰*⋻1015))⋭≵(⋰*⋻4511↱⋰*⋻5A55)≴⪞⇿(⇋↷⋰*⋻157A)⫰⋱(↸⊣(⋰*⋻5604∠⫱⋰*⋻169A))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1570,"operation_count":10,"complexity_ratio":157.0,"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":2547,"base":11},"right_expr":{"type":"numeric_atoms","value":1347,"base":11}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5941,"base":11},"right_expr":{"type":"numeric_atoms","value":7925,"base":11}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2023,"base":11}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":7385,"base":11},"right_expr":{"type":"numeric_atoms","value":2166,"base":11}}}}},"used_operators":["jBncVCNhdl","3DZMoQKiUl","P8v4zCKN1o","h92wMvzauj","6o9Blt3TJ6","lvlrscuwVU","SR5kFfdi6N","SWo3A1KBJH","wztAlM01eG","QvoQhV0rrE"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋰*⋻-2A5","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2547","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=1347, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-7641","layer":3},{"info":"compute unary expreesion, input=-7641, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=5941","layer":4},{"info":"number node, value=7925","layer":4},{"info":"compute binary expreesion, left_input=5941, right_input=7925, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-23253","layer":3},{"info":"number node, value=2023","layer":4},{"info":"compute unary expreesion, input=2023, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=16184","layer":3},{"info":"compute binary expreesion, left_input=-23253, right_input=16184, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-283536","layer":2},{"info":"number node, value=7385","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=7385, right_input=2166, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-947","layer":2},{"info":"compute binary expreesion, left_input=-283536, right_input=-947, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=284550","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=284550, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-357","layer":0}],"base":11,"result_base":11,"text":"(≱⇩⩕(∥⊫⋰*⋻1A06⨑⩅≇⋰*⋻1015))⋭≵(⋰*⋻4511↱⋰*⋻5A55)≴⪞⇿(⇋↷⋰*⋻157A)⫰⋱(↸⊣(⋰*⋻5604∠⫱⋰*⋻169A))=⋰*⋻-2A5","reverse_text":"⋰*⋻-2A5=(≱⇩⩕(∥⊫⋰*⋻1A06⨑⩅≇⋰*⋻1015))⋭≵(⋰*⋻4511↱⋰*⋻5A55)≴⪞⇿(⇋↷⋰*⋻157A)⫰⋱(↸⊣(⋰*⋻5604∠⫱⋰*⋻169A))","cot":[{"info":"⋰*⋻1A06⨑⩅≇⋰*⋻1015=⋰*⋻-5817","layer":3},{"info":"∥⊫⋰*⋻-5817=⋰*⋻-50","layer":2},{"info":"≱⇩⩕⋰*⋻-50=⋰*⋻A3","layer":1},{"info":"⋰*⋻4511↱⋰*⋻5A55=⋰*⋻-1651A","layer":3},{"info":"⇋↷⋰*⋻157A=⋰*⋻11183","layer":3},{"info":"⋰*⋻-1651A≴⪞⇿⋰*⋻11183=⋰*⋻-184030","layer":2},{"info":"⋰*⋻5604∠⫱⋰*⋻169A=⋰*⋻A22","layer":3},{"info":"↸⊣⋰*⋻A22=⋰*⋻-791","layer":2},{"info":"⋰*⋻-184030⫰⋱⋰*⋻-791=⋰*⋻184872","layer":1},{"info":"⋰*⋻A3⋭≵⋰*⋻184872=⋰*⋻-2A5","layer":0}]}
{"id":200,"expression_no_base_symbol":"($3338$⇴$1105$⇀∌)⨂≜(($1881$⪛⫼$3808$)⪢($1174$⩚⊴⇥$2787$))⫒⫫(((∑⇻≧$2441$)∷($5293$⫃⨇$2852$))⩺⋐⫨)","expression":"(⋰*⋻2565⇴⋰*⋻915⇀∌)⨂≜((⋰*⋻1460⪛⫼⋰*⋻2952)⪢(⋰*⋻978⩚⊴⇥⋰*⋻2104))⫒⫫(((∑⇻≧⋰*⋻191A)∷(⋰*⋻3A82⫃⨇⋰*⋻2163))⩺⋐⫨)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5014,"operation_count":11,"complexity_ratio":455.8181818181818,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3338,"base":11},"right_expr":{"type":"numeric_atoms","value":1105,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1881,"base":11},"right_expr":{"type":"numeric_atoms","value":3808,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1174,"base":11},"right_expr":{"type":"numeric_atoms","value":2787,"base":11}}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2441,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5293,"base":11},"right_expr":{"type":"numeric_atoms","value":2852,"base":11}}}}},"used_operators":["6Ko8hGgeMq","k1SHOSEABc","2k53nXOpI5","4JB6nKBMSY","dWAJyo7jo9","hyuBjUqXlG","NTOWxs364D","yS9ePUuUdn","D3AQDKkPcf","l1M9WJ3V7u","09Ly4LVMIf"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","sdazOOVcIp","NTOWxs364D","COABgblf1C","k8jYdgA6NY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3338","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=3338, right_input=1105, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=21852","layer":3},{"info":"compute unary expreesion, input=21852, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"number node, value=1881","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=3808, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2787, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4082","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-4082, 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=113, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=2441","layer":4},{"info":"compute unary expreesion, input=2441, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=5293","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=5293, right_input=2852, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11440","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=-11440, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=58","layer":2},{"info":"compute unary expreesion, input=58, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2565⇴⋰*⋻915⇀∌)⨂≜((⋰*⋻1460⪛⫼⋰*⋻2952)⪢(⋰*⋻978⩚⊴⇥⋰*⋻2104))⫒⫫(((∑⇻≧⋰*⋻191A)∷(⋰*⋻3A82⫃⨇⋰*⋻2163))⩺⋐⫨)=NaN","reverse_text":"NaN=(⋰*⋻2565⇴⋰*⋻915⇀∌)⨂≜((⋰*⋻1460⪛⫼⋰*⋻2952)⪢(⋰*⋻978⩚⊴⇥⋰*⋻2104))⫒⫫(((∑⇻≧⋰*⋻191A)∷(⋰*⋻3A82⫃⨇⋰*⋻2163))⩺⋐⫨)","cot":[{"info":"⋰*⋻2565⇴⋰*⋻915=⋰*⋻15466","layer":3},{"info":"⋰*⋻15466⇀∌=⋰*⋻A3","layer":2},{"info":"⋰*⋻1460⪛⫼⋰*⋻2952=⋰*⋻800","layer":3},{"info":"⋰*⋻978⩚⊴⇥⋰*⋻2104=⋰*⋻-3081","layer":3},{"info":"⋰*⋻800⪢⋰*⋻-3081=NaN","layer":2},{"info":"⋰*⋻A3⨂≜NaN=NaN","layer":1},{"info":"∑⇻≧⋰*⋻191A=⋰*⋻-705","layer":3},{"info":"⋰*⋻3A82⫃⨇⋰*⋻2163=⋰*⋻-8660","layer":3},{"info":"⋰*⋻-705∷⋰*⋻-8660=⋰*⋻53","layer":2},{"info":"⋰*⋻53⩺⋐⫨=⋰*⋻0","layer":1},{"info":"NaN⫒⫫⋰*⋻0=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"(⊑(($2622$⊭↱$2626$)⪛⫼(≪$2206$)))↳∿⪆($2477$∇⊂⋱$4427$→⨶⪴(⇜⊴$1215$)⪉⨛$1226$∥⊢⊲$5424$⪔$2279$∛$6683$)","expression":"(⊑((⋰*⋻1A74⊭↱⋰*⋻1A78)⪛⫼(≪⋰*⋻1726)))↳∿⪆(⋰*⋻1952∇⊂⋱⋰*⋻3365→⨶⪴(⇜⊴⋰*⋻A05)⪉⨛⋰*⋻A15∥⊢⊲⋰*⋻4091⪔⋰*⋻1792∛⋰*⋻5026)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3857,"operation_count":12,"complexity_ratio":321.4166666666667,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2622,"base":11},"right_expr":{"type":"numeric_atoms","value":2626,"base":11}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":2206,"base":11}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2477,"base":11},"right_expr":{"type":"numeric_atoms","value":4427,"base":11}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1215,"base":11}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1226,"base":11},"right_expr":{"type":"numeric_atoms","value":5424,"base":11}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2279,"base":11},"right_expr":{"type":"numeric_atoms","value":6683,"base":11}}}}},"used_operators":["Cw4SuJJGHO","IkUmn0D7oy","hyuBjUqXlG","COABgblf1C","Qtd6bqUJcN","EWw2JM7wp4","bF6eod5Gvf","nhYeJWJD5X","XwDhCwWbUn","GjBEYRfMaF","v1UQAVDJRr","w2537kitQq"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","EBcxylXtPf","rGHVDoGpnC","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2622","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=2622, right_input=2626, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=13","layer":3},{"info":"number node, value=2206","layer":4},{"info":"compute unary expreesion, input=2206, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=13, right_input=913, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=2477","layer":4},{"info":"number node, value=4427","layer":4},{"info":"compute binary expreesion, left_input=2477, right_input=4427, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4408","layer":3},{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-273026","layer":3},{"info":"compute binary expreesion, left_input=4408, right_input=-273026, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=554836","layer":2},{"info":"number node, value=1226","layer":4},{"info":"number node, value=5424","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=5424, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=2279","layer":4},{"info":"number node, value=6683","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=6683, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=554836, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊑((⋰*⋻1A74⊭↱⋰*⋻1A78)⪛⫼(≪⋰*⋻1726)))↳∿⪆(⋰*⋻1952∇⊂⋱⋰*⋻3365→⨶⪴(⇜⊴⋰*⋻A05)⪉⨛⋰*⋻A15∥⊢⊲⋰*⋻4091⪔⋰*⋻1792∛⋰*⋻5026)=NaN","reverse_text":"NaN=(⊑((⋰*⋻1A74⊭↱⋰*⋻1A78)⪛⫼(≪⋰*⋻1726)))↳∿⪆(⋰*⋻1952∇⊂⋱⋰*⋻3365→⨶⪴(⇜⊴⋰*⋻A05)⪉⨛⋰*⋻A15∥⊢⊲⋰*⋻4091⪔⋰*⋻1792∛⋰*⋻5026)","cot":[{"info":"⋰*⋻1A74⊭↱⋰*⋻1A78=⋰*⋻12","layer":3},{"info":"≪⋰*⋻1726=⋰*⋻760","layer":3},{"info":"⋰*⋻12⪛⫼⋰*⋻760=⋰*⋻800","layer":2},{"info":"⊑⋰*⋻800=⋰*⋻165","layer":1},{"info":"⋰*⋻1952∇⊂⋱⋰*⋻3365=⋰*⋻3348","layer":3},{"info":"⇜⊴⋰*⋻A05=⋰*⋻-177146","layer":3},{"info":"⋰*⋻3348→⨶⪴⋰*⋻-177146=⋰*⋻349947","layer":2},{"info":"⋰*⋻A15∥⊢⊲⋰*⋻4091=NaN","layer":3},{"info":"⋰*⋻1792∛⋰*⋻5026=⋰*⋻-55A","layer":3},{"info":"NaN⪔⋰*⋻-55A=NaN","layer":2},{"info":"⋰*⋻349947⪉⨛NaN=NaN","layer":1},{"info":"⋰*⋻165↳∿⪆NaN=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"↨⩢⫨((∷≠($4050$∙⊟$1316$))≎⊠⪸(($1787$/$7385$)⫳≱↱($5084$≝⊰⇂)))","expression":"↨⩢⫨((∷≠(⋰*⋻3052∙⊟⋰*⋻A97))≎⊠⪸((⋰*⋻1385/⋰*⋻5604)⫳≱↱(⋰*⋻3902≝⊰⇂)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5679,"operation_count":7,"complexity_ratio":811.2857142857143,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4050,"base":11},"right_expr":{"type":"numeric_atoms","value":1316,"base":11}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1787,"base":11},"right_expr":{"type":"numeric_atoms","value":7385,"base":11}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":5084,"base":11}}}}},"used_operators":["Z5CJsN7DuW","bJkvcejdHO","QiR2Oyf5Xj","SxTAKzQCrw","ZvLB05nZmT","XhwjNDsVaA","htSmYCowi5"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","7j4O788W3g","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","9FxExcQeMw","DlLNRPXxWL"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4050","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=4050, right_input=1316, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=62496","layer":3},{"info":"compute unary expreesion, input=62496, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=62496","layer":2},{"info":"number node, value=1787","layer":4},{"info":"number node, value=7385","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=7385, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=5084","layer":4},{"info":"compute unary expreesion, input=5084, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":2},{"info":"compute binary expreesion, left_input=62496, right_input=-471, 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 = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":11,"result_base":11,"text":"↨⩢⫨((∷≠(⋰*⋻3052∙⊟⋰*⋻A97))≎⊠⪸((⋰*⋻1385/⋰*⋻5604)⫳≱↱(⋰*⋻3902≝⊰⇂)))=⋰*⋻0","reverse_text":"⋰*⋻0=↨⩢⫨((∷≠(⋰*⋻3052∙⊟⋰*⋻A97))≎⊠⪸((⋰*⋻1385/⋰*⋻5604)⫳≱↱(⋰*⋻3902≝⊰⇂)))","cot":[{"info":"⋰*⋻3052∙⊟⋰*⋻A97=⋰*⋻42A55","layer":3},{"info":"∷≠⋰*⋻42A55=⋰*⋻42A55","layer":2},{"info":"⋰*⋻1385/⋰*⋻5604=⋰*⋻0","layer":3},{"info":"⋰*⋻3902≝⊰⇂=⋰*⋻0","layer":3},{"info":"⋰*⋻0⫳≱↱⋰*⋻0=⋰*⋻-399","layer":2},{"info":"⋰*⋻42A55≎⊠⪸⋰*⋻-399=⋰*⋻61","layer":1},{"info":"↨⩢⫨⋰*⋻61=⋰*⋻0","layer":0}]}
{"id":203,"expression_no_base_symbol":"(($1359$⫌⩉⩟$4412$∽$1340$⩵∡$4383$)≀⩗∶($1896$⩱)↓($6187$⋝⋈⪟$1327$))⩒⫫(∑⇻≧(⊬↢$3901$)⨫⇇↔($1321$⋷$1802$))","expression":"((⋰*⋻1026⫌⩉⩟⋰*⋻3351∽⋰*⋻1009⩵∡⋰*⋻3325)≀⩗∶(⋰*⋻1474⩱)↓(⋰*⋻4715⋝⋈⪟⋰*⋻AA7))⩒⫫(∑⇻≧(⊬↢⋰*⋻2A27)⨫⇇↔(⋰*⋻AA1⋷⋰*⋻1399))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":114556,"operation_count":12,"complexity_ratio":9546.333333333334,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1359,"base":11},"right_expr":{"type":"numeric_atoms","value":4412,"base":11}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1340,"base":11},"right_expr":{"type":"numeric_atoms","value":4383,"base":11}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1896,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6187,"base":11},"right_expr":{"type":"numeric_atoms","value":1327,"base":11}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":3901,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1321,"base":11},"right_expr":{"type":"numeric_atoms","value":1802,"base":11}}}}},"used_operators":["KFSx94NKJn","8INZBEW696","y4ImoPnbV5","XIIwhv8d0m","Y7wcNGrDQJ","Af076pWI7l","uyq1hVkAcj","2DDjHMKMc0","l1M9WJ3V7u","LXhwmt4mBO","WPoGxAaPR1","23Mk6UjR3U"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","glklzrTFfD","tifHPKVTfV","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-684","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=4412, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1340","layer":4},{"info":"number node, value=4383","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=4383, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1582","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=1582, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-4318","layer":2},{"info":"number node, value=1896","layer":4},{"info":"compute unary expreesion, input=1896, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-11626","layer":3},{"info":"number node, value=6187","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=6187, right_input=1327, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6187","layer":3},{"info":"compute binary expreesion, left_input=-11626, right_input=6187, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-4318, right_input=-134, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"number node, value=3901","layer":4},{"info":"compute unary expreesion, input=3901, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=1802, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2283","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=2283, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=353","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=353, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-818","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1026⫌⩉⩟⋰*⋻3351∽⋰*⋻1009⩵∡⋰*⋻3325)≀⩗∶(⋰*⋻1474⩱)↓(⋰*⋻4715⋝⋈⪟⋰*⋻AA7))⩒⫫(∑⇻≧(⊬↢⋰*⋻2A27)⨫⇇↔(⋰*⋻AA1⋷⋰*⋻1399))=⋰*⋻-684","reverse_text":"⋰*⋻-684=((⋰*⋻1026⫌⩉⩟⋰*⋻3351∽⋰*⋻1009⩵∡⋰*⋻3325)≀⩗∶(⋰*⋻1474⩱)↓(⋰*⋻4715⋝⋈⪟⋰*⋻AA7))⩒⫫(∑⇻≧(⊬↢⋰*⋻2A27)⨫⇇↔(⋰*⋻AA1⋷⋰*⋻1399))","cot":[{"info":"⋰*⋻1026⫌⩉⩟⋰*⋻3351=⋰*⋻-46","layer":3},{"info":"⋰*⋻1009⩵∡⋰*⋻3325=⋰*⋻1209","layer":3},{"info":"⋰*⋻-46∽⋰*⋻1209=⋰*⋻-3276","layer":2},{"info":"⋰*⋻1474⩱=⋰*⋻-880A","layer":3},{"info":"⋰*⋻4715⋝⋈⪟⋰*⋻AA7=⋰*⋻4715","layer":3},{"info":"⋰*⋻-880A↓⋰*⋻4715=⋰*⋻-112","layer":2},{"info":"⋰*⋻-3276≀⩗∶⋰*⋻-112=⋰*⋻0","layer":1},{"info":"⊬↢⋰*⋻2A27=⋰*⋻189","layer":3},{"info":"⋰*⋻AA1⋷⋰*⋻1399=⋰*⋻1796","layer":3},{"info":"⋰*⋻189⨫⇇↔⋰*⋻1796=⋰*⋻-43A","layer":2},{"info":"∑⇻≧⋰*⋻-43A=⋰*⋻2A1","layer":1},{"info":"⋰*⋻0⩒⫫⋰*⋻2A1=⋰*⋻-684","layer":0}]}
{"id":204,"expression_no_base_symbol":"(⪲⇎(⨈⫕$1409$⊮⊟↴$3411$))⩖⊿(($3561$⨵⪆$5682$)⪚($2179$⪢$1730$)⪔(($5467$⩹$5862$)⫩))","expression":"(⪲⇎(⨈⫕⋰*⋻1071⊮⊟↴⋰*⋻2621))⩖⊿((⋰*⋻2748⨵⪆⋰*⋻42A6)⪚(⋰*⋻1701⪢⋰*⋻1333)⪔((⋰*⋻4120⩹⋰*⋻444A)⫩))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10669,"operation_count":10,"complexity_ratio":1066.9,"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":1409,"base":11},"right_expr":{"type":"numeric_atoms","value":3411,"base":11}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3561,"base":11},"right_expr":{"type":"numeric_atoms","value":5682,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2179,"base":11},"right_expr":{"type":"numeric_atoms","value":1730,"base":11}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5467,"base":11},"right_expr":{"type":"numeric_atoms","value":5862,"base":11}}}}},"used_operators":["RZ5CV9rWsJ","XPYlsWDdGa","megm06wKyl","QDVgd2eftb","GjBEYRfMaF","HrjLwUk87U","2DQ55sFlQl","dWAJyo7jo9","6aG7x05OhS","2Wsdkap16l"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"number node, value=3411","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=3411, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-42","layer":1},{"info":"number node, value=3561","layer":4},{"info":"number node, value=5682","layer":4},{"info":"compute binary expreesion, left_input=3561, right_input=5682, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2179","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=1730, 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=160, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"number node, value=5467","layer":4},{"info":"number node, value=5862","layer":4},{"info":"compute binary expreesion, left_input=5467, right_input=5862, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5860","layer":3},{"info":"compute unary expreesion, input=5860, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-42, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎(⨈⫕⋰*⋻1071⊮⊟↴⋰*⋻2621))⩖⊿((⋰*⋻2748⨵⪆⋰*⋻42A6)⪚(⋰*⋻1701⪢⋰*⋻1333)⪔((⋰*⋻4120⩹⋰*⋻444A)⫩))=NaN","reverse_text":"NaN=(⪲⇎(⨈⫕⋰*⋻1071⊮⊟↴⋰*⋻2621))⩖⊿((⋰*⋻2748⨵⪆⋰*⋻42A6)⪚(⋰*⋻1701⪢⋰*⋻1333)⪔((⋰*⋻4120⩹⋰*⋻444A)⫩))","cot":[{"info":"⋰*⋻1071⊮⊟↴⋰*⋻2621=⋰*⋻0","layer":3},{"info":"⨈⫕⋰*⋻0=⋰*⋻-1A","layer":2},{"info":"⪲⇎⋰*⋻-1A=⋰*⋻-39","layer":1},{"info":"⋰*⋻2748⨵⪆⋰*⋻42A6=⋰*⋻136","layer":3},{"info":"⋰*⋻1701⪢⋰*⋻1333=NaN","layer":3},{"info":"⋰*⋻136⪚NaN=NaN","layer":2},{"info":"⋰*⋻4120⩹⋰*⋻444A=⋰*⋻4448","layer":3},{"info":"⋰*⋻4448⫩=NaN","layer":2},{"info":"NaN⪔NaN=NaN","layer":1},{"info":"⋰*⋻-39⩖⊿NaN=NaN","layer":0}]}
{"id":205,"expression_no_base_symbol":"(⇈($1890$∇⊂⋱$2368$⫠↝⫳))⇋≉","expression":"(⇈(⋰*⋻1469∇⊂⋱⋰*⋻1863⫠↝⫳))⇋≉","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1052,"operation_count":4,"complexity_ratio":263.0,"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":1890,"base":11},"right_expr":{"type":"numeric_atoms","value":2368,"base":11}}}}},"used_operators":["XIabStNQrY","SLLxy00UIr","8n5YIzOsVS","nhYeJWJD5X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⋰*⋻-822","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1890","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=2368, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3234","layer":3},{"info":"compute unary expreesion, input=3234, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=104111","layer":2},{"info":"compute unary expreesion, input=104111, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-992","layer":0}],"base":11,"result_base":11,"text":"(⇈(⋰*⋻1469∇⊂⋱⋰*⋻1863⫠↝⫳))⇋≉=⋰*⋻-822","reverse_text":"⋰*⋻-822=(⇈(⋰*⋻1469∇⊂⋱⋰*⋻1863⫠↝⫳))⇋≉","cot":[{"info":"⋰*⋻1469∇⊂⋱⋰*⋻1863=⋰*⋻2480","layer":3},{"info":"⋰*⋻2480⫠↝⫳=⋰*⋻71247","layer":2},{"info":"⇈⋰*⋻71247=⋰*⋻-377","layer":1},{"info":"⋰*⋻-377⇋≉=⋰*⋻-822","layer":0}]}
{"id":206,"expression_no_base_symbol":"∜⨇(≑⋹(⇜⊴(⊖∈$1865$)))","expression":"∜⨇(≑⋹(⇜⊴(⊖∈⋰*⋻1446)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4078,"operation_count":4,"complexity_ratio":1019.5,"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":1865,"base":11}}}}},"used_operators":["uFPyJr306J","6B9nyZLogK","XwDhCwWbUn","YFxL8Sc2Zy"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=31706","layer":3},{"info":"compute unary expreesion, input=31706, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-7468902","layer":2},{"info":"compute unary expreesion, input=-7468902, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":1},{"info":"compute unary expreesion, input=-766, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"∜⨇(≑⋹(⇜⊴(⊖∈⋰*⋻1446)))=⋰*⋻0","reverse_text":"⋰*⋻0=∜⨇(≑⋹(⇜⊴(⊖∈⋰*⋻1446)))","cot":[{"info":"⊖∈⋰*⋻1446=⋰*⋻21904","layer":3},{"info":"⇜⊴⋰*⋻21904=⋰*⋻-4241551","layer":2},{"info":"≑⋹⋰*⋻-4241551=⋰*⋻-637","layer":1},{"info":"∜⨇⋰*⋻-637=⋰*⋻0","layer":0}]}
{"id":207,"expression_no_base_symbol":"((⇜(⫇$2158$))⇼⇔∾(($4514$⫸⊐$1002$)⇀∌))⩵∡((≀↧⇸$7558$)⋣⋖$3281$↞⋁$1370$⪁(∤↝(∥⊫$7388$)))","expression":"((⇜(⫇⋰*⋻1692))⇼⇔∾((⋰*⋻3434⫸⊐⋰*⋻831)⇀∌))⩵∡((≀↧⇸⋰*⋻5751)⋣⋖⋰*⋻2513↞⋁⋰*⋻1036⪁(∤↝(∥⊫⋰*⋻5607)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25217,"operation_count":12,"complexity_ratio":2101.4166666666665,"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":2158,"base":11}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4514,"base":11},"right_expr":{"type":"numeric_atoms","value":1002,"base":11}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":7558,"base":11}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3281,"base":11},"right_expr":{"type":"numeric_atoms","value":1370,"base":11}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7388,"base":11}}}}},"used_operators":["Y7wcNGrDQJ","tifHPKVTfV","lFBm8KRb8F","YjI8oCXuph","2k53nXOpI5","mqXw5SEYmG","I7sXao9hZE","J0M6qkBnIM","ljTHtUsqzn","RqrPlJkxDo","3UMq87Qwqg","P8v4zCKN1o"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","XPYlsWDdGa","23Mk6UjR3U","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2158","layer":4},{"info":"compute unary expreesion, input=2158, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-3102","layer":3},{"info":"compute unary expreesion, input=-3102, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=4514","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=4514, right_input=1002, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3883","layer":3},{"info":"compute unary expreesion, input=3883, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=113, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-119","layer":1},{"info":"number node, value=7558","layer":4},{"info":"compute unary expreesion, input=7558, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=15116","layer":3},{"info":"number node, value=3281","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=1370, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15116, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=15116","layer":2},{"info":"number node, value=7388","layer":4},{"info":"compute unary expreesion, input=7388, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8256","layer":3},{"info":"compute unary expreesion, input=8256, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=8256","layer":2},{"info":"compute binary expreesion, left_input=15116, right_input=8256, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-119, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇜(⫇⋰*⋻1692))⇼⇔∾((⋰*⋻3434⫸⊐⋰*⋻831)⇀∌))⩵∡((≀↧⇸⋰*⋻5751)⋣⋖⋰*⋻2513↞⋁⋰*⋻1036⪁(∤↝(∥⊫⋰*⋻5607)))=NaN","reverse_text":"NaN=((⇜(⫇⋰*⋻1692))⇼⇔∾((⋰*⋻3434⫸⊐⋰*⋻831)⇀∌))⩵∡((≀↧⇸⋰*⋻5751)⋣⋖⋰*⋻2513↞⋁⋰*⋻1036⪁(∤↝(∥⊫⋰*⋻5607)))","cot":[{"info":"⫇⋰*⋻1692=⋰*⋻-2370","layer":3},{"info":"⇜⋰*⋻-2370=⋰*⋻1A1","layer":2},{"info":"⋰*⋻3434⫸⊐⋰*⋻831=⋰*⋻2A10","layer":3},{"info":"⋰*⋻2A10⇀∌=⋰*⋻A3","layer":2},{"info":"⋰*⋻1A1⇼⇔∾⋰*⋻A3=⋰*⋻-A9","layer":1},{"info":"≀↧⇸⋰*⋻5751=⋰*⋻103A2","layer":3},{"info":"⋰*⋻2513↞⋁⋰*⋻1036=NaN","layer":3},{"info":"⋰*⋻103A2⋣⋖NaN=⋰*⋻103A2","layer":2},{"info":"∥⊫⋰*⋻5607=⋰*⋻6226","layer":3},{"info":"∤↝⋰*⋻6226=⋰*⋻6226","layer":2},{"info":"⋰*⋻103A2⪁⋰*⋻6226=NaN","layer":1},{"info":"⋰*⋻-A9⩵∡NaN=NaN","layer":0}]}
{"id":208,"expression_no_base_symbol":"((($5543$-$1761$)⩘)⋝⋈⪟((⨑⩽⪐$1005$)⋻⩜⩜$2015$∼$6653$))↬((⇨($3552$+$3304$))≀⩗∶(∐⩳⋚$2433$)+⇶⊼$1807$∺≝⩲$9207$)","expression":"(((⋰*⋻418A-⋰*⋻1361)⩘)⋝⋈⪟((⨑⩽⪐⋰*⋻834)⋻⩜⩜⋰*⋻1572∼⋰*⋻4AA9))↬((⇨(⋰*⋻273A+⋰*⋻2534))≀⩗∶(∐⩳⋚⋰*⋻1912)+⇶⊼⋰*⋻13A3∺≝⩲⋰*⋻6A10)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":297,"operation_count":13,"complexity_ratio":22.846153846153847,"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":5543,"base":11},"right_expr":{"type":"numeric_atoms","value":1761,"base":11}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1005,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2015,"base":11},"right_expr":{"type":"numeric_atoms","value":6653,"base":11}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3552,"base":11},"right_expr":{"type":"numeric_atoms","value":3304,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":2433,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1807,"base":11},"right_expr":{"type":"numeric_atoms","value":9207,"base":11}}}}},"used_operators":["B5M0gjZbta","2DDjHMKMc0","wvHyciQT5X","rysDP5nf3Z","oDCm7WA9JY","AF7qkfDlqP","DyGG3AbaNP","8INZBEW696","G9tJMlZ94a","W4YGzv6Whe","TpPTUOHfaN","SL6IHkK8vl","KPf6cnQVty"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9ICcGScMcE","dfKe02y8D2","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","k8jYdgA6NY","AHs5Up7iyr","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5543","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=5543, right_input=1761, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3782","layer":3},{"info":"compute unary expreesion, input=3782, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"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":"number node, value=2015","layer":4},{"info":"number node, value=6653","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=6653, 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=-732, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3552","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=3552, right_input=3304, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6856","layer":3},{"info":"compute unary expreesion, input=6856, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=2433","layer":4},{"info":"compute unary expreesion, input=2433, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=349000","layer":3},{"info":"number node, value=1807","layer":4},{"info":"number node, value=9207","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=9207, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=349000, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":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":11,"result_base":11,"text":"(((⋰*⋻418A-⋰*⋻1361)⩘)⋝⋈⪟((⨑⩽⪐⋰*⋻834)⋻⩜⩜⋰*⋻1572∼⋰*⋻4AA9))↬((⇨(⋰*⋻273A+⋰*⋻2534))≀⩗∶(∐⩳⋚⋰*⋻1912)+⇶⊼⋰*⋻13A3∺≝⩲⋰*⋻6A10)=NaN","reverse_text":"NaN=(((⋰*⋻418A-⋰*⋻1361)⩘)⋝⋈⪟((⨑⩽⪐⋰*⋻834)⋻⩜⩜⋰*⋻1572∼⋰*⋻4AA9))↬((⇨(⋰*⋻273A+⋰*⋻2534))≀⩗∶(∐⩳⋚⋰*⋻1912)+⇶⊼⋰*⋻13A3∺≝⩲⋰*⋻6A10)","cot":[{"info":"⋰*⋻418A-⋰*⋻1361=⋰*⋻2929","layer":3},{"info":"⋰*⋻2929⩘=⋰*⋻61","layer":2},{"info":"⨑⩽⪐⋰*⋻834=⋰*⋻-606","layer":3},{"info":"⋰*⋻1572∼⋰*⋻4AA9=NaN","layer":3},{"info":"⋰*⋻-606⋻⩜⩜NaN=NaN","layer":2},{"info":"⋰*⋻61⋝⋈⪟NaN=NaN","layer":1},{"info":"⋰*⋻273A+⋰*⋻2534=⋰*⋻5173","layer":3},{"info":"⇨⋰*⋻5173=⋰*⋻0","layer":2},{"info":"∐⩳⋚⋰*⋻1912=⋰*⋻219233","layer":3},{"info":"⋰*⋻13A3∺≝⩲⋰*⋻6A10=⋰*⋻136","layer":3},{"info":"⋰*⋻219233+⇶⊼⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻0≀⩗∶NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"(⨣⨃⇪($1359$⪕$3094$+⇶⊼(↩$2877$)))⩺⋐⫨","expression":"(⨣⨃⇪(⋰*⋻1026⪕⋰*⋻2363+⇶⊼(↩⋰*⋻2186)))⩺⋐⫨","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":607,"operation_count":5,"complexity_ratio":121.4,"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":1359,"base":11},"right_expr":{"type":"numeric_atoms","value":3094,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2877,"base":11}}}}},"used_operators":["yS9ePUuUdn","AcOhelriW5","TpPTUOHfaN","umQnsF7QlU","jLgFTUHLKL"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","AHs5Up7iyr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=3094, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=525","layer":3},{"info":"number node, value=2877","layer":4},{"info":"compute unary expreesion, input=2877, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-20236","layer":3},{"info":"compute binary expreesion, left_input=525, right_input=-20236, 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 = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⨣⨃⇪(⋰*⋻1026⪕⋰*⋻2363+⇶⊼(↩⋰*⋻2186)))⩺⋐⫨=⋰*⋻0","reverse_text":"⋰*⋻0=(⨣⨃⇪(⋰*⋻1026⪕⋰*⋻2363+⇶⊼(↩⋰*⋻2186)))⩺⋐⫨","cot":[{"info":"⋰*⋻1026⪕⋰*⋻2363=⋰*⋻438","layer":3},{"info":"↩⋰*⋻2186=⋰*⋻-14227","layer":3},{"info":"⋰*⋻438+⇶⊼⋰*⋻-14227=NaN","layer":2},{"info":"⨣⨃⇪NaN=⋰*⋻1068","layer":1},{"info":"⋰*⋻1068⩺⋐⫨=⋰*⋻0","layer":0}]}
{"id":210,"expression_no_base_symbol":"⇜⊴($5570$⋥⋵⩄$7411$+⇶⊼$1202$⊉↱≁$2171$)∑⇟⊟(($1324$⊓⋫)⇴$3771$⪒⊣⊆$6146$)","expression":"⇜⊴(⋰*⋻4204⋥⋵⩄⋰*⋻5628+⇶⊼⋰*⋻9A3⊉↱≁⋰*⋻16A4)∑⇟⊟((⋰*⋻AA4⊓⋫)⇴⋰*⋻2919⪒⊣⊆⋰*⋻4688)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":170,"operation_count":8,"complexity_ratio":21.25,"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":5570,"base":11},"right_expr":{"type":"numeric_atoms","value":7411,"base":11}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1202,"base":11},"right_expr":{"type":"numeric_atoms","value":2171,"base":11}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1324,"base":11}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3771,"base":11},"right_expr":{"type":"numeric_atoms","value":6146,"base":11}}}}},"used_operators":["XwDhCwWbUn","U7g4x0WXJJ","TpPTUOHfaN","7t3wd0Fuz7","w2P8NbNXyL","4JB6nKBMSY","IqGBaFP0uj","eRqsBgTDFp"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5570","layer":4},{"info":"number node, value=7411","layer":4},{"info":"compute binary expreesion, left_input=5570, right_input=7411, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=2171, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-2120","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-2120, 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=1324","layer":4},{"info":"compute unary expreesion, input=1324, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1452","layer":3},{"info":"number node, value=3771","layer":4},{"info":"number node, value=6146","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=6146, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7542","layer":3},{"info":"compute binary expreesion, left_input=-1452, right_input=7542, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=5986","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5986, 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 = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇜⊴(⋰*⋻4204⋥⋵⩄⋰*⋻5628+⇶⊼⋰*⋻9A3⊉↱≁⋰*⋻16A4)∑⇟⊟((⋰*⋻AA4⊓⋫)⇴⋰*⋻2919⪒⊣⊆⋰*⋻4688)=NaN","reverse_text":"NaN=⇜⊴(⋰*⋻4204⋥⋵⩄⋰*⋻5628+⇶⊼⋰*⋻9A3⊉↱≁⋰*⋻16A4)∑⇟⊟((⋰*⋻AA4⊓⋫)⇴⋰*⋻2919⪒⊣⊆⋰*⋻4688)","cot":[{"info":"⋰*⋻4204⋥⋵⩄⋰*⋻5628=⋰*⋻A3","layer":3},{"info":"⋰*⋻9A3⊉↱≁⋰*⋻16A4=⋰*⋻-1658","layer":3},{"info":"⋰*⋻A3+⇶⊼⋰*⋻-1658=NaN","layer":2},{"info":"⋰*⋻AA4⊓⋫=⋰*⋻-1100","layer":3},{"info":"⋰*⋻2919⪒⊣⊆⋰*⋻4688=⋰*⋻5737","layer":3},{"info":"⋰*⋻-1100⇴⋰*⋻5737=⋰*⋻4552","layer":2},{"info":"NaN∑⇟⊟⋰*⋻4552=NaN","layer":1},{"info":"⇜⊴NaN=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"∤↝((⫖→$1943$⊹∫⫚$1635$)⇌⫙⪟$3193$⨑⩅≇$1194$⨐($1088$⋷$1277$))","expression":"∤↝((⫖→⋰*⋻1507⊹∫⫚⋰*⋻1257)⇌⫙⪟⋰*⋻2443⨑⩅≇⋰*⋻996⨐(⋰*⋻8AA⋷⋰*⋻A61))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1674,"operation_count":7,"complexity_ratio":239.14285714285714,"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":1943,"base":11},"right_expr":{"type":"numeric_atoms","value":1635,"base":11}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3193,"base":11},"right_expr":{"type":"numeric_atoms","value":1194,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1088,"base":11},"right_expr":{"type":"numeric_atoms","value":1277,"base":11}}}}},"used_operators":["3UMq87Qwqg","AFVx7xoS7T","U4ylXWHChL","uWAJUKEvyW","Noe24qw2ks","h92wMvzauj","23Mk6UjR3U"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1943","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=1635, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-192","layer":3},{"info":"compute unary expreesion, input=-192, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=3193","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=1194, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-9579","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1277, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1466","layer":3},{"info":"compute binary expreesion, left_input=-9579, right_input=1466, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=19158","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=19158, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=113","layer":0}],"base":11,"result_base":11,"text":"∤↝((⫖→⋰*⋻1507⊹∫⫚⋰*⋻1257)⇌⫙⪟⋰*⋻2443⨑⩅≇⋰*⋻996⨐(⋰*⋻8AA⋷⋰*⋻A61))=⋰*⋻A3","reverse_text":"⋰*⋻A3=∤↝((⫖→⋰*⋻1507⊹∫⫚⋰*⋻1257)⇌⫙⪟⋰*⋻2443⨑⩅≇⋰*⋻996⨐(⋰*⋻8AA⋷⋰*⋻A61))","cot":[{"info":"⋰*⋻1507⊹∫⫚⋰*⋻1257=⋰*⋻-165","layer":3},{"info":"⫖→⋰*⋻-165=⋰*⋻151","layer":2},{"info":"⋰*⋻2443⨑⩅≇⋰*⋻996=⋰*⋻-7219","layer":3},{"info":"⋰*⋻8AA⋷⋰*⋻A61=⋰*⋻1113","layer":3},{"info":"⋰*⋻-7219⨐⋰*⋻1113=⋰*⋻13437","layer":2},{"info":"⋰*⋻151⇌⫙⪟⋰*⋻13437=⋰*⋻A3","layer":1},{"info":"∤↝⋰*⋻A3=⋰*⋻A3","layer":0}]}
{"id":212,"expression_no_base_symbol":"⫡⇟⇯(($1166$⪎⩰)⊋≦⊧$4146$⨚$1628$)⊉↱≁((⇐$1164$)⪭$4155$↓$1906$)","expression":"⫡⇟⇯((⋰*⋻970⪎⩰)⊋≦⊧⋰*⋻312A⨚⋰*⋻1250)⊉↱≁((⇐⋰*⋻969)⪭⋰*⋻3138↓⋰*⋻1483)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27106,"operation_count":8,"complexity_ratio":3388.25,"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":1166,"base":11}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4146,"base":11},"right_expr":{"type":"numeric_atoms","value":1628,"base":11}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1164,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4155,"base":11},"right_expr":{"type":"numeric_atoms","value":1906,"base":11}}}}},"used_operators":["qWUSsah53b","w2P8NbNXyL","oRDoc9rAEX","2ufhKmSs5H","nREPSIbpBE","j9kHMeSvPp","nmZMaaE0Q9","Af076pWI7l"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","COABgblf1C","xUOZtlo3hN","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⋰*⋻3461","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"number node, value=4146","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=4146, right_input=1628, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=2714","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=2714, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=1164","layer":4},{"info":"compute unary expreesion, input=1164, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2574","layer":3},{"info":"number node, value=4155","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=1906, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=2574, right_input=-134, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=5, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1838","layer":1},{"info":"compute unary expreesion, input=1838, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4544","layer":0}],"base":11,"result_base":11,"text":"⫡⇟⇯((⋰*⋻970⪎⩰)⊋≦⊧⋰*⋻312A⨚⋰*⋻1250)⊉↱≁((⇐⋰*⋻969)⪭⋰*⋻3138↓⋰*⋻1483)=⋰*⋻3461","reverse_text":"⋰*⋻3461=⫡⇟⇯((⋰*⋻970⪎⩰)⊋≦⊧⋰*⋻312A⨚⋰*⋻1250)⊉↱≁((⇐⋰*⋻969)⪭⋰*⋻3138↓⋰*⋻1483)","cot":[{"info":"⋰*⋻970⪎⩰=⋰*⋻-31","layer":3},{"info":"⋰*⋻312A⨚⋰*⋻1250=⋰*⋻2048","layer":3},{"info":"⋰*⋻-31⊋≦⊧⋰*⋻2048=⋰*⋻165","layer":2},{"info":"⇐⋰*⋻969=⋰*⋻1A30","layer":3},{"info":"⋰*⋻3138↓⋰*⋻1483=⋰*⋻-112","layer":3},{"info":"⋰*⋻1A30⪭⋰*⋻-112=⋰*⋻5","layer":2},{"info":"⋰*⋻165⊉↱≁⋰*⋻5=⋰*⋻1421","layer":1},{"info":"⫡⇟⇯⋰*⋻1421=⋰*⋻3461","layer":0}]}
{"id":213,"expression_no_base_symbol":"↩⪖((↨⩢⫨$1398$≹⇙⪍$1328$)∠↢($5466$∌$1009$)⊮⊟↴($1052$⨁⊸⫻))","expression":"↩⪖((↨⩢⫨⋰*⋻1061≹⇙⪍⋰*⋻AA8)∠↢(⋰*⋻411A∌⋰*⋻838)⊮⊟↴(⋰*⋻877⨁⊸⫻))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":147,"operation_count":7,"complexity_ratio":21.0,"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":1398,"base":11},"right_expr":{"type":"numeric_atoms","value":1328,"base":11}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5466,"base":11},"right_expr":{"type":"numeric_atoms","value":1009,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1052,"base":11}}}}},"used_operators":["fG6uBQFnGz","KbjG8mgYpV","Z5CJsN7DuW","AHs5Up7iyr","QDVgd2eftb","8cLx32lpNA","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","dWAJyo7jo9","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋰*⋻-7133","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1328, 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 = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=5466","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=1009, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1009","layer":3},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1052","layer":3},{"info":"compute binary expreesion, left_input=-1009, right_input=1052, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=1082","layer":1},{"info":"compute unary expreesion, input=1082, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-9474","layer":0}],"base":11,"result_base":11,"text":"↩⪖((↨⩢⫨⋰*⋻1061≹⇙⪍⋰*⋻AA8)∠↢(⋰*⋻411A∌⋰*⋻838)⊮⊟↴(⋰*⋻877⨁⊸⫻))=⋰*⋻-7133","reverse_text":"⋰*⋻-7133=↩⪖((↨⩢⫨⋰*⋻1061≹⇙⪍⋰*⋻AA8)∠↢(⋰*⋻411A∌⋰*⋻838)⊮⊟↴(⋰*⋻877⨁⊸⫻))","cot":[{"info":"⋰*⋻1061≹⇙⪍⋰*⋻AA8=NaN","layer":3},{"info":"↨⩢⫨NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻411A∌⋰*⋻838=⋰*⋻-838","layer":3},{"info":"⋰*⋻877⨁⊸⫻=⋰*⋻877","layer":3},{"info":"⋰*⋻-838⊮⊟↴⋰*⋻877=⋰*⋻0","layer":2},{"info":"⋰*⋻0∠↢⋰*⋻0=⋰*⋻8A4","layer":1},{"info":"↩⪖⋰*⋻8A4=⋰*⋻-7133","layer":0}]}
{"id":214,"expression_no_base_symbol":"($5034$∌$1040$)⪃⊛⇣($3225$⋷$4026$)⨽∌(($6713$⫰⋱$4820$)≧⫂∧$5652$⪎↠$5745$)⪔(($1298$⩌⋺$4395$)⊢$2430$⨼⩣$5017$)⨑⩅≇(($1365$∲⫓$1800$)⊉↱≁($4410$↳∿⪆$5526$))","expression":"(⋰*⋻3867∌⋰*⋻866)⪃⊛⇣(⋰*⋻2472⋷⋰*⋻3030)⨽∌((⋰*⋻5053⫰⋱⋰*⋻3692)≧⫂∧⋰*⋻4279⪎↠⋰*⋻4353)⪔((⋰*⋻A80⩌⋺⋰*⋻3336)⊢⋰*⋻190A⨼⩣⋰*⋻3851)⨑⩅≇((⋰*⋻1031∲⫓⋰*⋻1397)⊉↱≁(⋰*⋻334A↳∿⪆⋰*⋻4174))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3717,"operation_count":15,"complexity_ratio":247.8,"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":5034,"base":11},"right_expr":{"type":"numeric_atoms","value":1040,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3225,"base":11},"right_expr":{"type":"numeric_atoms","value":4026,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6713,"base":11},"right_expr":{"type":"numeric_atoms","value":4820,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5652,"base":11},"right_expr":{"type":"numeric_atoms","value":5745,"base":11}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1298,"base":11},"right_expr":{"type":"numeric_atoms","value":4395,"base":11}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2430,"base":11},"right_expr":{"type":"numeric_atoms","value":5017,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1365,"base":11},"right_expr":{"type":"numeric_atoms","value":1800,"base":11}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4410,"base":11},"right_expr":{"type":"numeric_atoms","value":5526,"base":11}}}}},"used_operators":["GjBEYRfMaF","9samAPKr6k","rrgAzCduG9","8cLx32lpNA","23Mk6UjR3U","Ph9nP6C5qx","6o9Blt3TJ6","3tVxb0NHM4","h92wMvzauj","5twsqlHp2o","g7Hmc5v1ko","JxwMv5le6e","w2P8NbNXyL","i8ToyICDmI","Cw4SuJJGHO"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5034","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=5034, right_input=1040, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1040","layer":3},{"info":"number node, value=3225","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=4026, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4827","layer":3},{"info":"compute binary expreesion, left_input=-1040, right_input=4827, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=6713","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=6713, right_input=4820, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6680","layer":3},{"info":"number node, value=5652","layer":4},{"info":"number node, value=5745","layer":4},{"info":"compute binary expreesion, left_input=5652, right_input=5745, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-6680, 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 binary expreesion, left_input=1234, right_input=-313, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1298","layer":4},{"info":"number node, value=4395","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=4395, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5814","layer":3},{"info":"number node, value=2430","layer":4},{"info":"number node, value=5017","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=5017, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5814, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=11384","layer":2},{"info":"number node, value=1365","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1800, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4410","layer":4},{"info":"number node, value=5526","layer":4},{"info":"compute binary expreesion, left_input=4410, right_input=5526, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11384, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3867∌⋰*⋻866)⪃⊛⇣(⋰*⋻2472⋷⋰*⋻3030)⨽∌((⋰*⋻5053⫰⋱⋰*⋻3692)≧⫂∧⋰*⋻4279⪎↠⋰*⋻4353)⪔((⋰*⋻A80⩌⋺⋰*⋻3336)⊢⋰*⋻190A⨼⩣⋰*⋻3851)⨑⩅≇((⋰*⋻1031∲⫓⋰*⋻1397)⊉↱≁(⋰*⋻334A↳∿⪆⋰*⋻4174))=NaN","reverse_text":"NaN=(⋰*⋻3867∌⋰*⋻866)⪃⊛⇣(⋰*⋻2472⋷⋰*⋻3030)⨽∌((⋰*⋻5053⫰⋱⋰*⋻3692)≧⫂∧⋰*⋻4279⪎↠⋰*⋻4353)⪔((⋰*⋻A80⩌⋺⋰*⋻3336)⊢⋰*⋻190A⨼⩣⋰*⋻3851)⨑⩅≇((⋰*⋻1031∲⫓⋰*⋻1397)⊉↱≁(⋰*⋻334A↳∿⪆⋰*⋻4174))","cot":[{"info":"⋰*⋻3867∌⋰*⋻866=⋰*⋻-866","layer":3},{"info":"⋰*⋻2472⋷⋰*⋻3030=⋰*⋻3699","layer":3},{"info":"⋰*⋻-866⪃⊛⇣⋰*⋻3699=⋰*⋻A22","layer":2},{"info":"⋰*⋻5053⫰⋱⋰*⋻3692=⋰*⋻-5023","layer":3},{"info":"⋰*⋻4279⪎↠⋰*⋻4353=⋰*⋻136","layer":3},{"info":"⋰*⋻-5023≧⫂∧⋰*⋻136=⋰*⋻-265","layer":2},{"info":"⋰*⋻A22⨽∌⋰*⋻-265=⋰*⋻0","layer":1},{"info":"⋰*⋻A80⩌⋺⋰*⋻3336=⋰*⋻-4406","layer":3},{"info":"⋰*⋻190A⨼⩣⋰*⋻3851=NaN","layer":3},{"info":"⋰*⋻-4406⊢NaN=⋰*⋻860A","layer":2},{"info":"⋰*⋻1031∲⫓⋰*⋻1397=⋰*⋻0","layer":3},{"info":"⋰*⋻334A↳∿⪆⋰*⋻4174=NaN","layer":3},{"info":"⋰*⋻0⊉↱≁NaN=NaN","layer":2},{"info":"⋰*⋻860A⨑⩅≇NaN=NaN","layer":1},{"info":"⋰*⋻0⪔NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"(($5706$⊭↱$5927$)⪷)⩚⊴⇥($5070$⪬$1191$∖$5634$↹⊜$2155$)∖($2801$∴≳≥)⊕∕($1612$⩌⋺$1516$)≥⨤⩑($1363$⊾⪯⋞$2800$)⪛($1684$⫸⊐$3981$)","expression":"((⋰*⋻4318⊭↱⋰*⋻44A9)⪷)⩚⊴⇥(⋰*⋻389A⪬⋰*⋻993∖⋰*⋻4262↹⊜⋰*⋻168A)∖(⋰*⋻2117∴≳≥)⊕∕(⋰*⋻1236⩌⋺⋰*⋻1159)≥⨤⩑(⋰*⋻102A⊾⪯⋞⋰*⋻2116)⪛(⋰*⋻12A1⫸⊐⋰*⋻2A9A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1828,"operation_count":14,"complexity_ratio":130.57142857142858,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5706,"base":11},"right_expr":{"type":"numeric_atoms","value":5927,"base":11}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5070,"base":11},"right_expr":{"type":"numeric_atoms","value":1191,"base":11}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5634,"base":11},"right_expr":{"type":"numeric_atoms","value":2155,"base":11}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":2801,"base":11}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1612,"base":11},"right_expr":{"type":"numeric_atoms","value":1516,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1363,"base":11},"right_expr":{"type":"numeric_atoms","value":2800,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1684,"base":11},"right_expr":{"type":"numeric_atoms","value":3981,"base":11}}}}},"used_operators":["tXD093vOjl","NTOWxs364D","Qctrpi3WzA","COABgblf1C","Ez1Nq5fNfI","9bazX3JMtO","gJLn6v0xnP","9cloC0Ngie","a3N2hFLK0J","g7Hmc5v1ko","uFcxV4UQCh","HK0tfVPux8","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Nsiff2A1zJ","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5706","layer":4},{"info":"number node, value=5927","layer":4},{"info":"compute binary expreesion, left_input=5706, right_input=5927, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=447","layer":3},{"info":"compute unary expreesion, input=447, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=5070","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=5070, right_input=1191, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5634","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=5634, right_input=2155, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=2552","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2552, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2801","layer":4},{"info":"compute unary expreesion, input=2801, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=11204","layer":3},{"info":"number node, value=1612","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=1516, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3249","layer":3},{"info":"compute binary expreesion, left_input=11204, right_input=-3249, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=11204","layer":2},{"info":"number node, value=1363","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=2800, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5174","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=3981, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15799","layer":3},{"info":"compute binary expreesion, left_input=5174, right_input=15799, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5174","layer":2},{"info":"compute binary expreesion, left_input=11204, right_input=5174, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4318⊭↱⋰*⋻44A9)⪷)⩚⊴⇥(⋰*⋻389A⪬⋰*⋻993∖⋰*⋻4262↹⊜⋰*⋻168A)∖(⋰*⋻2117∴≳≥)⊕∕(⋰*⋻1236⩌⋺⋰*⋻1159)≥⨤⩑(⋰*⋻102A⊾⪯⋞⋰*⋻2116)⪛(⋰*⋻12A1⫸⊐⋰*⋻2A9A)=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻4318⊭↱⋰*⋻44A9)⪷)⩚⊴⇥(⋰*⋻389A⪬⋰*⋻993∖⋰*⋻4262↹⊜⋰*⋻168A)∖(⋰*⋻2117∴≳≥)⊕∕(⋰*⋻1236⩌⋺⋰*⋻1159)≥⨤⩑(⋰*⋻102A⊾⪯⋞⋰*⋻2116)⪛(⋰*⋻12A1⫸⊐⋰*⋻2A9A)","cot":[{"info":"⋰*⋻4318⊭↱⋰*⋻44A9=⋰*⋻377","layer":3},{"info":"⋰*⋻377⪷=NaN","layer":2},{"info":"⋰*⋻389A⪬⋰*⋻993=⋰*⋻A22","layer":3},{"info":"⋰*⋻4262↹⊜⋰*⋻168A=⋰*⋻1A10","layer":3},{"info":"⋰*⋻A22∖⋰*⋻1A10=⋰*⋻0","layer":2},{"info":"NaN⩚⊴⇥⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻2117∴≳≥=⋰*⋻8466","layer":3},{"info":"⋰*⋻1236⩌⋺⋰*⋻1159=⋰*⋻-2494","layer":3},{"info":"⋰*⋻8466⊕∕⋰*⋻-2494=⋰*⋻8466","layer":2},{"info":"⋰*⋻102A⊾⪯⋞⋰*⋻2116=⋰*⋻3984","layer":3},{"info":"⋰*⋻12A1⫸⊐⋰*⋻2A9A=⋰*⋻10963","layer":3},{"info":"⋰*⋻3984⪛⋰*⋻10963=⋰*⋻3984","layer":2},{"info":"⋰*⋻8466≥⨤⩑⋰*⋻3984=⋰*⋻A22","layer":1},{"info":"NaN∖⋰*⋻A22=⋰*⋻0","layer":0}]}
{"id":216,"expression_no_base_symbol":"(($3883$⊪)⫁⪎($1495$↺$1087$)⊾⪯⋞(≪$1040$)⪉⨛(⇠$2219$))↬($2350$⇂≾⫗$4194$⊍⩺⋍$1229$⇂≾⫗$2345$)∘(($4041$⋳⪒$2364$)⇴∐$1490$∣$2968$)","expression":"((⋰*⋻2A10⊪)⫁⪎(⋰*⋻113A↺⋰*⋻8A9)⊾⪯⋞(≪⋰*⋻866)⪉⨛(⇠⋰*⋻1738))↬(⋰*⋻1847⇂≾⫗⋰*⋻3173⊍⩺⋍⋰*⋻A18⇂≾⫗⋰*⋻1842)∘((⋰*⋻3044⋳⪒⋰*⋻185A)⇴∐⋰*⋻1135∣⋰*⋻2259)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":542,"operation_count":15,"complexity_ratio":36.13333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3883,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1495,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1040,"base":11}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2219,"base":11}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2350,"base":11},"right_expr":{"type":"numeric_atoms","value":4194,"base":11}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1229,"base":11},"right_expr":{"type":"numeric_atoms","value":2345,"base":11}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4041,"base":11},"right_expr":{"type":"numeric_atoms","value":2364,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1490,"base":11},"right_expr":{"type":"numeric_atoms","value":2968,"base":11}}}}},"used_operators":["B5M0gjZbta","HK0tfVPux8","xRrnTEsQ6j","zVYPLywUTj","7j4O788W3g","EWw2JM7wp4","Qtd6bqUJcN","18saOjeKKm","Z5m6OM72h2","OXDGMFPWZM","aBQ6xLxuTc","HnzytWxmAO","12rbrZMWeM","PPChnnnBFF"],"dependent_operators":["rGHVDoGpnC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eH2TOUuTDT","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3883","layer":4},{"info":"compute unary expreesion, input=3883, 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=1495","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=1087, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1087","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1087, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1087","layer":2},{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=2219","layer":4},{"info":"compute unary expreesion, input=2219, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1977","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-1977, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4931","layer":2},{"info":"compute binary expreesion, left_input=-1087, right_input=4931, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=9436","layer":1},{"info":"number node, value=2350","layer":4},{"info":"number node, value=4194","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=4194, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1229","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=2345, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-676, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=4041","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=4041, right_input=2364, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5431","layer":3},{"info":"number node, value=1490","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=2968, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1490","layer":3},{"info":"compute binary expreesion, left_input=5431, right_input=1490, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9436, 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":11,"result_base":11,"text":"((⋰*⋻2A10⊪)⫁⪎(⋰*⋻113A↺⋰*⋻8A9)⊾⪯⋞(≪⋰*⋻866)⪉⨛(⇠⋰*⋻1738))↬(⋰*⋻1847⇂≾⫗⋰*⋻3173⊍⩺⋍⋰*⋻A18⇂≾⫗⋰*⋻1842)∘((⋰*⋻3044⋳⪒⋰*⋻185A)⇴∐⋰*⋻1135∣⋰*⋻2259)=NaN","reverse_text":"NaN=((⋰*⋻2A10⊪)⫁⪎(⋰*⋻113A↺⋰*⋻8A9)⊾⪯⋞(≪⋰*⋻866)⪉⨛(⇠⋰*⋻1738))↬(⋰*⋻1847⇂≾⫗⋰*⋻3173⊍⩺⋍⋰*⋻A18⇂≾⫗⋰*⋻1842)∘((⋰*⋻3044⋳⪒⋰*⋻185A)⇴∐⋰*⋻1135∣⋰*⋻2259)","cot":[{"info":"⋰*⋻2A10⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻113A↺⋰*⋻8A9=⋰*⋻8A9","layer":3},{"info":"⋰*⋻0⫁⪎⋰*⋻8A9=⋰*⋻-8A9","layer":2},{"info":"≪⋰*⋻866=⋰*⋻760","layer":3},{"info":"⇠⋰*⋻1738=⋰*⋻-1538","layer":3},{"info":"⋰*⋻760⪉⨛⋰*⋻-1538=⋰*⋻3783","layer":2},{"info":"⋰*⋻-8A9⊾⪯⋞⋰*⋻3783=⋰*⋻70A9","layer":1},{"info":"⋰*⋻1847⇂≾⫗⋰*⋻3173=⋰*⋻-565","layer":3},{"info":"⋰*⋻A18⇂≾⫗⋰*⋻1842=⋰*⋻-565","layer":3},{"info":"⋰*⋻-565⊍⩺⋍⋰*⋻-565=NaN","layer":2},{"info":"⋰*⋻3044⋳⪒⋰*⋻185A=⋰*⋻4098","layer":3},{"info":"⋰*⋻1135∣⋰*⋻2259=⋰*⋻1135","layer":3},{"info":"⋰*⋻4098⇴∐⋰*⋻1135=NaN","layer":2},{"info":"NaN∘NaN=NaN","layer":1},{"info":"⋰*⋻70A9↬NaN=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"((⊲⪭($1547$≨$4139$))∝(⪛⨧$5803$⩌⋺$6021$))↼⊘⨖((($3662$⋖∅⋲)⪁(⨙⪌$2455$))⋭≵($1104$≄⊠$4078$)≀⫉($2447$∙∹∝$1364$))","expression":"((⊲⪭(⋰*⋻1187≨⋰*⋻3123))∝(⪛⨧⋰*⋻43A6⩌⋺⋰*⋻4584))↼⊘⨖(((⋰*⋻282A⋖∅⋲)⪁(⨙⪌⋰*⋻1932))⋭≵(⋰*⋻914≄⊠⋰*⋻3078)≀⫉(⋰*⋻1925∙∹∝⋰*⋻1030))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7927260,"operation_count":13,"complexity_ratio":609789.2307692308,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1547,"base":11},"right_expr":{"type":"numeric_atoms","value":4139,"base":11}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5803,"base":11},"right_expr":{"type":"numeric_atoms","value":6021,"base":11}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":3662,"base":11}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2455,"base":11}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1104,"base":11},"right_expr":{"type":"numeric_atoms","value":4078,"base":11}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2447,"base":11},"right_expr":{"type":"numeric_atoms","value":1364,"base":11}}}}},"used_operators":["bPywburJMS","cTDWOvIxvz","k7HXdKtiEU","0KMCeP1Jsh","6NJAcO2OWT","g7Hmc5v1ko","jBncVCNhdl","I7sXao9hZE","L95AwlJzhO","vEGLkm4Z2k","oZj3VtZNQx","vXNesLlMH1","HmxsFra2vL"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⋰*⋻-80","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1547","layer":4},{"info":"number node, value=4139","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=4139, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12994","layer":3},{"info":"compute unary expreesion, input=-12994, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=12820","layer":2},{"info":"number node, value=5803","layer":4},{"info":"number node, value=6021","layer":4},{"info":"compute binary expreesion, left_input=5803, right_input=6021, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-11945","layer":3},{"info":"compute unary expreesion, input=-11945, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-22489","layer":2},{"info":"compute binary expreesion, left_input=12820, right_input=-22489, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=12825","layer":1},{"info":"number node, value=3662","layer":4},{"info":"compute unary expreesion, input=3662, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=2455","layer":4},{"info":"compute unary expreesion, input=2455, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=868, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1104","layer":4},{"info":"number node, value=4078","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=4078, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=69916","layer":3},{"info":"number node, value=2447","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=1364, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=69916, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=12825, right_input=67, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-88","layer":0}],"base":11,"result_base":11,"text":"((⊲⪭(⋰*⋻1187≨⋰*⋻3123))∝(⪛⨧⋰*⋻43A6⩌⋺⋰*⋻4584))↼⊘⨖(((⋰*⋻282A⋖∅⋲)⪁(⨙⪌⋰*⋻1932))⋭≵(⋰*⋻914≄⊠⋰*⋻3078)≀⫉(⋰*⋻1925∙∹∝⋰*⋻1030))=⋰*⋻-80","reverse_text":"⋰*⋻-80=((⊲⪭(⋰*⋻1187≨⋰*⋻3123))∝(⪛⨧⋰*⋻43A6⩌⋺⋰*⋻4584))↼⊘⨖(((⋰*⋻282A⋖∅⋲)⪁(⨙⪌⋰*⋻1932))⋭≵(⋰*⋻914≄⊠⋰*⋻3078)≀⫉(⋰*⋻1925∙∹∝⋰*⋻1030))","cot":[{"info":"⋰*⋻1187≨⋰*⋻3123=⋰*⋻-9843","layer":3},{"info":"⊲⪭⋰*⋻-9843=⋰*⋻96A5","layer":2},{"info":"⋰*⋻43A6⩌⋺⋰*⋻4584=⋰*⋻-8A7A","layer":3},{"info":"⪛⨧⋰*⋻-8A7A=⋰*⋻-15995","layer":2},{"info":"⋰*⋻96A5∝⋰*⋻-15995=⋰*⋻96AA","layer":1},{"info":"⋰*⋻282A⋖∅⋲=⋰*⋻-242751","layer":3},{"info":"⨙⪌⋰*⋻1932=⋰*⋻71A","layer":3},{"info":"⋰*⋻-242751⪁⋰*⋻71A=NaN","layer":2},{"info":"⋰*⋻914≄⊠⋰*⋻3078=⋰*⋻48590","layer":3},{"info":"⋰*⋻1925∙∹∝⋰*⋻1030=⋰*⋻0","layer":3},{"info":"⋰*⋻48590≀⫉⋰*⋻0=⋰*⋻2136","layer":2},{"info":"NaN⋭≵⋰*⋻2136=⋰*⋻61","layer":1},{"info":"⋰*⋻96AA↼⊘⨖⋰*⋻61=⋰*⋻-80","layer":0}]}
{"id":218,"expression_no_base_symbol":"((≪(⊖∈$3986$))⊔(($1123$⇮⋭$1190$)∑⇟⊟$1217$⪮%⊝$1053$))⫯⪬∳($4249$∘$1077$⩘$5115$≁$2055$)⨂≜(($3378$⋕⪉⪜$3530$)↞⋁($3468$⊋$7143$))","expression":"((≪(⊖∈⋰*⋻2AA4))⊔((⋰*⋻931⇮⋭⋰*⋻992)∑⇟⊟⋰*⋻A07⪮%⊝⋰*⋻878))⫯⪬∳(⋰*⋻3213∘⋰*⋻89A⩘⋰*⋻3930≁⋰*⋻15A9)⨂≜((⋰*⋻25A1⋕⪉⪜⋰*⋻271A)↞⋁(⋰*⋻2673⊋⋰*⋻5404))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7871,"operation_count":14,"complexity_ratio":562.2142857142857,"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":3986,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1123,"base":11},"right_expr":{"type":"numeric_atoms","value":1190,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1217,"base":11},"right_expr":{"type":"numeric_atoms","value":1053,"base":11}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4249,"base":11},"right_expr":{"type":"numeric_atoms","value":1077,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5115,"base":11},"right_expr":{"type":"numeric_atoms","value":2055,"base":11}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3378,"base":11},"right_expr":{"type":"numeric_atoms","value":3530,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3468,"base":11},"right_expr":{"type":"numeric_atoms","value":7143,"base":11}}}}},"used_operators":["d7ASUq0ydm","E4l6HwMY31","Qtd6bqUJcN","YFxL8Sc2Zy","U7g4x0WXJJ","vkpjKywKVM","IWmyXbctLI","k1SHOSEABc","cHh1gJQ2o6","Z5m6OM72h2","8N2wDY1A35","RqrPlJkxDo","z6LnFrNh4i","W4tP9CfskL"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eH2TOUuTDT","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3986","layer":4},{"info":"compute unary expreesion, input=3986, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=74126","layer":3},{"info":"compute unary expreesion, input=74126, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1190, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1053, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2750","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=2750, 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=913, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"number node, value=4249","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=1077, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8498","layer":3},{"info":"number node, value=5115","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=5115, right_input=2055, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=36119","layer":3},{"info":"compute binary expreesion, left_input=8498, right_input=36119, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=3378","layer":4},{"info":"number node, value=3530","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=3530, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=3468","layer":4},{"info":"number node, value=7143","layer":4},{"info":"compute binary expreesion, left_input=3468, right_input=7143, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-205434000","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-205434000, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2802, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≪(⊖∈⋰*⋻2AA4))⊔((⋰*⋻931⇮⋭⋰*⋻992)∑⇟⊟⋰*⋻A07⪮%⊝⋰*⋻878))⫯⪬∳(⋰*⋻3213∘⋰*⋻89A⩘⋰*⋻3930≁⋰*⋻15A9)⨂≜((⋰*⋻25A1⋕⪉⪜⋰*⋻271A)↞⋁(⋰*⋻2673⊋⋰*⋻5404))=NaN","reverse_text":"NaN=((≪(⊖∈⋰*⋻2AA4))⊔((⋰*⋻931⇮⋭⋰*⋻992)∑⇟⊟⋰*⋻A07⪮%⊝⋰*⋻878))⫯⪬∳(⋰*⋻3213∘⋰*⋻89A⩘⋰*⋻3930≁⋰*⋻15A9)⨂≜((⋰*⋻25A1⋕⪉⪜⋰*⋻271A)↞⋁(⋰*⋻2673⊋⋰*⋻5404))","cot":[{"info":"⊖∈⋰*⋻2AA4=⋰*⋻50768","layer":3},{"info":"≪⋰*⋻50768=⋰*⋻760","layer":2},{"info":"⋰*⋻931⇮⋭⋰*⋻992=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻A07⪮%⊝⋰*⋻878=⋰*⋻2080","layer":3},{"info":"⋰*⋻-3A0∑⇟⊟⋰*⋻2080=NaN","layer":2},{"info":"⋰*⋻760⊔NaN=NaN","layer":1},{"info":"⋰*⋻3213∘⋰*⋻89A=⋰*⋻6426","layer":3},{"info":"⋰*⋻3930≁⋰*⋻15A9=⋰*⋻25156","layer":3},{"info":"⋰*⋻6426⩘⋰*⋻25156=⋰*⋻136","layer":2},{"info":"⋰*⋻25A1⋕⪉⪜⋰*⋻271A=⋰*⋻2118","layer":3},{"info":"⋰*⋻2673⊋⋰*⋻5404=⋰*⋻-A5A64672","layer":3},{"info":"⋰*⋻2118↞⋁⋰*⋻-A5A64672=⋰*⋻2118","layer":2},{"info":"⋰*⋻136⨂≜⋰*⋻2118=NaN","layer":1},{"info":"NaN⫯⪬∳NaN=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"≘(≸((⫯$4999$)+⇶⊼$4681$⋝⋈⪟$3441$))","expression":"≘(≸((⫯⋰*⋻3835)+⇶⊼⋰*⋻3576⋝⋈⪟⋰*⋻2649))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":159,"operation_count":5,"complexity_ratio":31.8,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":4999,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4681,"base":11},"right_expr":{"type":"numeric_atoms","value":3441,"base":11}}}}},"used_operators":["tcjXMdvYtA","eOf03JbCpp","TpPTUOHfaN","H6BK1Evt7c","2DDjHMKMc0"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","AHs5Up7iyr","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4999","layer":4},{"info":"compute unary expreesion, input=4999, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-195170","layer":3},{"info":"number node, value=4681","layer":4},{"info":"number node, value=3441","layer":4},{"info":"compute binary expreesion, left_input=4681, right_input=3441, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4681","layer":3},{"info":"compute binary expreesion, left_input=-195170, right_input=4681, 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 = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≘(≸((⫯⋰*⋻3835)+⇶⊼⋰*⋻3576⋝⋈⪟⋰*⋻2649))=NaN","reverse_text":"NaN=≘(≸((⫯⋰*⋻3835)+⇶⊼⋰*⋻3576⋝⋈⪟⋰*⋻2649))","cot":[{"info":"⫯⋰*⋻3835=⋰*⋻-1236A8","layer":3},{"info":"⋰*⋻3576⋝⋈⪟⋰*⋻2649=⋰*⋻3576","layer":3},{"info":"⋰*⋻-1236A8+⇶⊼⋰*⋻3576=NaN","layer":2},{"info":"≸NaN=NaN","layer":1},{"info":"≘NaN=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"($3057$⪃↞⩐)↹⊜(⇵⪽$1543$)⇌⫙⪟($2643$⇄$2127$⪄$1401$∳⫺$1124$)⨔≚≋(⋗⩴⪓((⪭⩑⪱$2618$)⇴∐$4554$⪎↠$4150$))","expression":"(⋰*⋻232A⪃↞⩐)↹⊜(⇵⪽⋰*⋻1183)⇌⫙⪟(⋰*⋻1A93⇄⋰*⋻1664⪄⋰*⋻1064∳⫺⋰*⋻932)⨔≚≋(⋗⩴⪓((⪭⩑⪱⋰*⋻1A70)⇴∐⋰*⋻3470⪎↠⋰*⋻3133))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":213614,"operation_count":12,"complexity_ratio":17801.166666666668,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":3057,"base":11}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1543,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2643,"base":11},"right_expr":{"type":"numeric_atoms","value":2127,"base":11}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1401,"base":11},"right_expr":{"type":"numeric_atoms","value":1124,"base":11}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2618,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4554,"base":11},"right_expr":{"type":"numeric_atoms","value":4150,"base":11}}}}},"used_operators":["Z57zeUYC9z","AFVx7xoS7T","9bazX3JMtO","grXIztHqDa","ZGCBLdVRRX","SUmda5xLS4","3EYGwJThht","AzXXKTstlj","nOKPl9n5zu","HnzytWxmAO","SIgE0bArFf","3tVxb0NHM4"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","U7g4x0WXJJ","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3057","layer":4},{"info":"compute unary expreesion, input=3057, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=18648","layer":3},{"info":"number node, value=1543","layer":4},{"info":"compute unary expreesion, input=1543, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18648, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"number node, value=2643","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=2127, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=1124, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=4951","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4951, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"number node, value=2618","layer":4},{"info":"compute unary expreesion, input=2618, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=4554","layer":4},{"info":"number node, value=4150","layer":4},{"info":"compute binary expreesion, left_input=4554, right_input=4150, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=160, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻232A⪃↞⩐)↹⊜(⇵⪽⋰*⋻1183)⇌⫙⪟(⋰*⋻1A93⇄⋰*⋻1664⪄⋰*⋻1064∳⫺⋰*⋻932)⨔≚≋(⋗⩴⪓((⪭⩑⪱⋰*⋻1A70)⇴∐⋰*⋻3470⪎↠⋰*⋻3133))=NaN","reverse_text":"NaN=(⋰*⋻232A⪃↞⩐)↹⊜(⇵⪽⋰*⋻1183)⇌⫙⪟(⋰*⋻1A93⇄⋰*⋻1664⪄⋰*⋻1064∳⫺⋰*⋻932)⨔≚≋(⋗⩴⪓((⪭⩑⪱⋰*⋻1A70)⇴∐⋰*⋻3470⪎↠⋰*⋻3133))","cot":[{"info":"⋰*⋻232A⪃↞⩐=⋰*⋻13013","layer":3},{"info":"⇵⪽⋰*⋻1183=NaN","layer":3},{"info":"⋰*⋻13013↹⊜NaN=NaN","layer":2},{"info":"⋰*⋻1A93⇄⋰*⋻1664=⋰*⋻0","layer":3},{"info":"⋰*⋻1064∳⫺⋰*⋻932=⋰*⋻-217","layer":3},{"info":"⋰*⋻0⪄⋰*⋻-217=⋰*⋻37A1","layer":2},{"info":"NaN⇌⫙⪟⋰*⋻37A1=NaN","layer":1},{"info":"⪭⩑⪱⋰*⋻1A70=⋰*⋻4773560","layer":3},{"info":"⋰*⋻3470⪎↠⋰*⋻3133=⋰*⋻136","layer":3},{"info":"⋰*⋻4773560⇴∐⋰*⋻136=NaN","layer":2},{"info":"⋗⩴⪓NaN=NaN","layer":1},{"info":"NaN⨔≚≋NaN=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"((∤↝$1189$)⩦($3973$⩧⪆$2707$)⊉≛↸(∟⋨$2524$)⨂≜($2243$⊉↱≁$1697$))∠⫱($2529$⨐$7311$⨼⩣$1631$≁$1564$⪄(⊑$1794$→⨶⪴$1017$))","expression":"((∤↝⋰*⋻991)⩦(⋰*⋻2A92⩧⪆⋰*⋻2041)⊉≛↸(∟⋨⋰*⋻1995)⨂≜(⋰*⋻175A⊉↱≁⋰*⋻1303))∠⫱(⋰*⋻199A⨐⋰*⋻5547⨼⩣⋰*⋻1253≁⋰*⋻11A2⪄(⊑⋰*⋻1391→⨶⪴⋰*⋻845))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5537,"operation_count":14,"complexity_ratio":395.5,"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":1189,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3973,"base":11},"right_expr":{"type":"numeric_atoms","value":2707,"base":11}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2524,"base":11}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2243,"base":11},"right_expr":{"type":"numeric_atoms","value":1697,"base":11}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2529,"base":11},"right_expr":{"type":"numeric_atoms","value":7311,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1631,"base":11},"right_expr":{"type":"numeric_atoms","value":1564,"base":11}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1794,"base":11},"right_expr":{"type":"numeric_atoms","value":1017,"base":11}}}}},"used_operators":["QvoQhV0rrE","DZ8iAZOCBD","0kmYd0q39Y","3UMq87Qwqg","Ikt5ks8PT7","k1SHOSEABc","ctOc4cKSDt","w2P8NbNXyL","SUmda5xLS4","JxwMv5le6e","Noe24qw2ks","8N2wDY1A35","IkUmn0D7oy","bF6eod5Gvf"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","8w2t5hMYqp","9FxExcQeMw"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":4},{"info":"compute unary expreesion, input=1189, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1189","layer":3},{"info":"number node, value=3973","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=3973, right_input=2707, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2707","layer":3},{"info":"compute binary expreesion, left_input=1189, right_input=-2707, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2378","layer":2},{"info":"number node, value=2524","layer":4},{"info":"compute unary expreesion, input=2524, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2040","layer":3},{"info":"number node, value=2243","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=1697, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=12196","layer":3},{"info":"compute binary expreesion, left_input=-2040, right_input=12196, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2378, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4756","layer":1},{"info":"number node, value=2529","layer":4},{"info":"number node, value=7311","layer":4},{"info":"compute binary expreesion, left_input=2529, right_input=7311, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5058","layer":3},{"info":"number node, value=1631","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1564, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=24335","layer":3},{"info":"compute binary expreesion, left_input=-5058, right_input=24335, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1794","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=1017, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3051","layer":3},{"info":"compute unary expreesion, input=-3051, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = 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=4756, right_input=3979, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"((∤↝⋰*⋻991)⩦(⋰*⋻2A92⩧⪆⋰*⋻2041)⊉≛↸(∟⋨⋰*⋻1995)⨂≜(⋰*⋻175A⊉↱≁⋰*⋻1303))∠⫱(⋰*⋻199A⨐⋰*⋻5547⨼⩣⋰*⋻1253≁⋰*⋻11A2⪄(⊑⋰*⋻1391→⨶⪴⋰*⋻845))=⋰*⋻A22","reverse_text":"⋰*⋻A22=((∤↝⋰*⋻991)⩦(⋰*⋻2A92⩧⪆⋰*⋻2041)⊉≛↸(∟⋨⋰*⋻1995)⨂≜(⋰*⋻175A⊉↱≁⋰*⋻1303))∠⫱(⋰*⋻199A⨐⋰*⋻5547⨼⩣⋰*⋻1253≁⋰*⋻11A2⪄(⊑⋰*⋻1391→⨶⪴⋰*⋻845))","cot":[{"info":"∤↝⋰*⋻991=⋰*⋻991","layer":3},{"info":"⋰*⋻2A92⩧⪆⋰*⋻2041=⋰*⋻-2041","layer":3},{"info":"⋰*⋻991⩦⋰*⋻-2041=⋰*⋻1872","layer":2},{"info":"∟⋨⋰*⋻1995=⋰*⋻-1595","layer":3},{"info":"⋰*⋻175A⊉↱≁⋰*⋻1303=⋰*⋻9188","layer":3},{"info":"⋰*⋻-1595⨂≜⋰*⋻9188=NaN","layer":2},{"info":"⋰*⋻1872⊉≛↸NaN=⋰*⋻3634","layer":1},{"info":"⋰*⋻199A⨐⋰*⋻5547=⋰*⋻-3889","layer":3},{"info":"⋰*⋻1253≁⋰*⋻11A2=⋰*⋻17313","layer":3},{"info":"⋰*⋻-3889⨼⩣⋰*⋻17313=NaN","layer":2},{"info":"⋰*⋻1391→⨶⪴⋰*⋻845=⋰*⋻-2324","layer":3},{"info":"⊑⋰*⋻-2324=⋰*⋻165","layer":2},{"info":"NaN⪄⋰*⋻165=⋰*⋻2A98","layer":1},{"info":"⋰*⋻3634∠⫱⋰*⋻2A98=⋰*⋻A22","layer":0}]}
{"id":222,"expression_no_base_symbol":"($1311$⊨$1517$∠⫱($1740$⪣⫩))⪝(($4571$∪⫐$6848$)⊨(∨∊⋏$2244$))⇄($1944$≁↽≥$1744$⨎$1283$⪨⊡$4415$)⨂≜(∜⨇$2296$)⇡⇂($1242$⫘$1142$)","expression":"(⋰*⋻A92⊨⋰*⋻115A∠⫱(⋰*⋻1342⪣⫩))⪝((⋰*⋻3486∪⫐⋰*⋻5166)⊨(∨∊⋏⋰*⋻1760))⇄(⋰*⋻1508≁↽≥⋰*⋻1346⨎⋰*⋻A67⪨⊡⋰*⋻3354)⨂≜(∜⨇⋰*⋻17A8)⇡⇂(⋰*⋻A2A⫘⋰*⋻949)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2931647,"operation_count":15,"complexity_ratio":195443.13333333333,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1311,"base":11},"right_expr":{"type":"numeric_atoms","value":1517,"base":11}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1740,"base":11}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4571,"base":11},"right_expr":{"type":"numeric_atoms","value":6848,"base":11}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2244,"base":11}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1944,"base":11},"right_expr":{"type":"numeric_atoms","value":1744,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1283,"base":11},"right_expr":{"type":"numeric_atoms","value":4415,"base":11}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2296,"base":11}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1242,"base":11},"right_expr":{"type":"numeric_atoms","value":1142,"base":11}}}}},"used_operators":["3EYGwJThht","wicAB68Tmb","QvoQhV0rrE","vg4gO5BX6G","iuk5sVOGFA","7YooWSwCyH","R5aXW34M0v","k1SHOSEABc","rJVOvQCfKK","ncHt1X6cMc","kuIXHzHcAH","UMwdvZNt44","uFPyJr306J","48vC8HMD2b"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","oWn0xqSxBt","3Oe9XWJUTD","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1311","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=1517, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6275","layer":3},{"info":"number node, value=1740","layer":4},{"info":"compute unary expreesion, input=1740, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=5187","layer":3},{"info":"compute binary expreesion, left_input=6275, right_input=5187, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=4571","layer":4},{"info":"number node, value=6848","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=6848, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4571","layer":3},{"info":"number node, value=2244","layer":4},{"info":"compute unary expreesion, input=2244, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=40655","layer":3},{"info":"compute binary expreesion, left_input=4571, right_input=40655, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=19315","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=19315, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=1944","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=1744, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=31628","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=4415, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=31628, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=2296","layer":4},{"info":"compute unary expreesion, input=2296, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1142, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1464997","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1464997, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A92⊨⋰*⋻115A∠⫱(⋰*⋻1342⪣⫩))⪝((⋰*⋻3486∪⫐⋰*⋻5166)⊨(∨∊⋏⋰*⋻1760))⇄(⋰*⋻1508≁↽≥⋰*⋻1346⨎⋰*⋻A67⪨⊡⋰*⋻3354)⨂≜(∜⨇⋰*⋻17A8)⇡⇂(⋰*⋻A2A⫘⋰*⋻949)=NaN","reverse_text":"NaN=(⋰*⋻A92⊨⋰*⋻115A∠⫱(⋰*⋻1342⪣⫩))⪝((⋰*⋻3486∪⫐⋰*⋻5166)⊨(∨∊⋏⋰*⋻1760))⇄(⋰*⋻1508≁↽≥⋰*⋻1346⨎⋰*⋻A67⪨⊡⋰*⋻3354)⨂≜(∜⨇⋰*⋻17A8)⇡⇂(⋰*⋻A2A⫘⋰*⋻949)","cot":[{"info":"⋰*⋻A92⊨⋰*⋻115A=⋰*⋻4795","layer":3},{"info":"⋰*⋻1342⪣⫩=⋰*⋻3996","layer":3},{"info":"⋰*⋻4795∠⫱⋰*⋻3996=⋰*⋻A22","layer":2},{"info":"⋰*⋻3486∪⫐⋰*⋻5166=⋰*⋻3486","layer":3},{"info":"∨∊⋏⋰*⋻1760=⋰*⋻285AA","layer":3},{"info":"⋰*⋻3486⊨⋰*⋻285AA=⋰*⋻1356A","layer":2},{"info":"⋰*⋻A22⪝⋰*⋻1356A=⋰*⋻1A6","layer":1},{"info":"⋰*⋻1508≁↽≥⋰*⋻1346=⋰*⋻21843","layer":3},{"info":"⋰*⋻A67⪨⊡⋰*⋻3354=⋰*⋻0","layer":3},{"info":"⋰*⋻21843⨎⋰*⋻0=⋰*⋻0","layer":2},{"info":"∜⨇⋰*⋻17A8=NaN","layer":3},{"info":"⋰*⋻A2A⫘⋰*⋻949=⋰*⋻910746","layer":3},{"info":"NaN⇡⇂⋰*⋻910746=NaN","layer":2},{"info":"⋰*⋻0⨂≜NaN=NaN","layer":1},{"info":"⋰*⋻1A6⇄NaN=NaN","layer":0}]}
{"id":223,"expression_no_base_symbol":"(($1842$⪛⫼$8147$)⊱⇼⊻($3503$⩁)⫃⨇($5259$⨜⨶$1242$⨝⩣∺))⊦⊿","expression":"((⋰*⋻1425⪛⫼⋰*⋻6137)⊱⇼⊻(⋰*⋻26A5⩁)⫃⨇(⋰*⋻3A51⨜⨶⋰*⋻A2A⨝⩣∺))⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":196,"operation_count":7,"complexity_ratio":28.0,"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":1842,"base":11},"right_expr":{"type":"numeric_atoms","value":8147,"base":11}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":3503,"base":11}}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5259,"base":11},"right_expr":{"type":"numeric_atoms","value":1242,"base":11}}}}},"used_operators":["14qkJME0vr","09Ly4LVMIf","FyVja0WsTP","hyuBjUqXlG","5GqDbVmqXU","ancx8kZcWl","HiPekx5b7W"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","DZ8iAZOCBD","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋰*⋻-19090","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1842","layer":4},{"info":"number node, value=8147","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=8147, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=3503","layer":4},{"info":"compute unary expreesion, input=3503, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-25244","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-25244, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=6674","layer":2},{"info":"number node, value=5259","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=5259, right_input=1242, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2228","layer":3},{"info":"compute unary expreesion, input=-2228, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2228","layer":2},{"info":"compute binary expreesion, left_input=6674, right_input=-2228, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=8880","layer":1},{"info":"compute unary expreesion, input=8880, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-26719","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1425⪛⫼⋰*⋻6137)⊱⇼⊻(⋰*⋻26A5⩁)⫃⨇(⋰*⋻3A51⨜⨶⋰*⋻A2A⨝⩣∺))⊦⊿=⋰*⋻-19090","reverse_text":"⋰*⋻-19090=((⋰*⋻1425⪛⫼⋰*⋻6137)⊱⇼⊻(⋰*⋻26A5⩁)⫃⨇(⋰*⋻3A51⨜⨶⋰*⋻A2A⨝⩣∺))⊦⊿","cot":[{"info":"⋰*⋻1425⪛⫼⋰*⋻6137=⋰*⋻800","layer":3},{"info":"⋰*⋻26A5⩁=⋰*⋻-17A6A","layer":3},{"info":"⋰*⋻800⊱⇼⊻⋰*⋻-17A6A=⋰*⋻5018","layer":2},{"info":"⋰*⋻3A51⨜⨶⋰*⋻A2A=⋰*⋻-1746","layer":3},{"info":"⋰*⋻-1746⨝⩣∺=⋰*⋻-1746","layer":2},{"info":"⋰*⋻5018⫃⨇⋰*⋻-1746=⋰*⋻6743","layer":1},{"info":"⋰*⋻6743⊦⊿=⋰*⋻-19090","layer":0}]}
{"id":224,"expression_no_base_symbol":"((⋣$3359$)⨵⪆(⨛$1688$))⩦(⪓⩚$1054$↳∿⪆$5889$)⫔⩽⩺(≀↧⇸(($4229$⩺⪪$2152$)⫽⇹≛))","expression":"((⋣⋰*⋻2584)⨵⪆(⨛⋰*⋻12A5))⩦(⪓⩚⋰*⋻879↳∿⪆⋰*⋻4474)⫔⩽⩺(≀↧⇸((⋰*⋻31A5⩺⪪⋰*⋻1687)⫽⇹≛))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6263,"operation_count":10,"complexity_ratio":626.3,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3359,"base":11}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1688,"base":11}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1054,"base":11},"right_expr":{"type":"numeric_atoms","value":5889,"base":11}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4229,"base":11},"right_expr":{"type":"numeric_atoms","value":2152,"base":11}}}}},"used_operators":["i9eR4S00cU","0kmYd0q39Y","2DQ55sFlQl","zQWRhDnn8F","CoMdbyAt7R","u0R0Locfp2","Cw4SuJJGHO","ljTHtUsqzn","NNaDxxp6OQ","uvdQJvN4PV"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3359","layer":4},{"info":"compute unary expreesion, input=3359, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-987451","layer":3},{"info":"number node, value=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-987451, 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=1054","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=5889, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=426, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=320","layer":1},{"info":"number node, value=4229","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=4229, right_input=2152, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-34130","layer":3},{"info":"compute unary expreesion, input=-34130, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"compute unary expreesion, input=272, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-1088","layer":1},{"info":"compute binary expreesion, left_input=320, right_input=-1088, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋣⋰*⋻2584)⨵⪆(⨛⋰*⋻12A5))⩦(⪓⩚⋰*⋻879↳∿⪆⋰*⋻4474)⫔⩽⩺(≀↧⇸((⋰*⋻31A5⩺⪪⋰*⋻1687)⫽⇹≛))=NaN","reverse_text":"NaN=((⋣⋰*⋻2584)⨵⪆(⨛⋰*⋻12A5))⩦(⪓⩚⋰*⋻879↳∿⪆⋰*⋻4474)⫔⩽⩺(≀↧⇸((⋰*⋻31A5⩺⪪⋰*⋻1687)⫽⇹≛))","cot":[{"info":"⋣⋰*⋻2584=⋰*⋻-614983","layer":3},{"info":"⨛⋰*⋻12A5=NaN","layer":3},{"info":"⋰*⋻-614983⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻879↳∿⪆⋰*⋻4474=NaN","layer":3},{"info":"⪓⩚NaN=⋰*⋻358","layer":2},{"info":"⋰*⋻136⩦⋰*⋻358=⋰*⋻271","layer":1},{"info":"⋰*⋻31A5⩺⪪⋰*⋻1687=⋰*⋻-23708","layer":3},{"info":"⋰*⋻-23708⫽⇹≛=⋰*⋻228","layer":2},{"info":"≀↧⇸⋰*⋻228=⋰*⋻-8AA","layer":1},{"info":"⋰*⋻271⫔⩽⩺⋰*⋻-8AA=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"((($2910$⫸⊐$4048$)⨀⨒)⪒($1509$⇌⫙⪟$5192$)⨚⇆($1241$⪡$4483$))↛⩡⫤","expression":"(((⋰*⋻2206⫸⊐⋰*⋻3050)⨀⨒)⪒(⋰*⋻1152⇌⫙⪟⋰*⋻39A0)⨚⇆(⋰*⋻A29⪡⋰*⋻3406))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":981,"operation_count":7,"complexity_ratio":140.14285714285714,"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":2910,"base":11},"right_expr":{"type":"numeric_atoms","value":4048,"base":11}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1509,"base":11},"right_expr":{"type":"numeric_atoms","value":5192,"base":11}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1241,"base":11},"right_expr":{"type":"numeric_atoms","value":4483,"base":11}}}}},"used_operators":["FU0Cs4j7VP","f6k1SAg4EE","j6NVkjMzuk","mqXw5SEYmG","lwHaAYXP2r","AFVx7xoS7T","oraRL2iQuh"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2910","layer":4},{"info":"number node, value=4048","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=4048, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16067","layer":3},{"info":"compute unary expreesion, input=16067, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=221670","layer":2},{"info":"number node, value=1509","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=5192, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1241","layer":4},{"info":"number node, value=4483","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=4483, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=107, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=221670, 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 = 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":11,"result_base":11,"text":"(((⋰*⋻2206⫸⊐⋰*⋻3050)⨀⨒)⪒(⋰*⋻1152⇌⫙⪟⋰*⋻39A0)⨚⇆(⋰*⋻A29⪡⋰*⋻3406))↛⩡⫤=NaN","reverse_text":"NaN=(((⋰*⋻2206⫸⊐⋰*⋻3050)⨀⨒)⪒(⋰*⋻1152⇌⫙⪟⋰*⋻39A0)⨚⇆(⋰*⋻A29⪡⋰*⋻3406))↛⩡⫤","cot":[{"info":"⋰*⋻2206⫸⊐⋰*⋻3050=⋰*⋻11087","layer":3},{"info":"⋰*⋻11087⨀⨒=⋰*⋻1415A9","layer":2},{"info":"⋰*⋻1152⇌⫙⪟⋰*⋻39A0=⋰*⋻A3","layer":3},{"info":"⋰*⋻A29⪡⋰*⋻3406=⋰*⋻98","layer":3},{"info":"⋰*⋻A3⨚⇆⋰*⋻98=NaN","layer":2},{"info":"⋰*⋻1415A9⪒NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"($5825$⩍⋽⫝̸$1531$⇴($1906$⨭⪣$2844$))⋣⋖(⊵⊁($4689$⨁⊸⫻))⩹(⪫⨮⊛($2786$⫉⨲⊜$4587$))∳⫺($4295$⫣⪄⊒$3776$⨸⪁($1343$↰))","expression":"(⋰*⋻4416⩍⋽⫝̸⋰*⋻1172⇴(⋰*⋻1483⨭⪣⋰*⋻2156))⋣⋖(⊵⊁(⋰*⋻3583⨁⊸⫻))⩹(⪫⨮⊛(⋰*⋻2103⫉⨲⊜⋰*⋻34A0))∳⫺(⋰*⋻3255⫣⪄⊒⋰*⋻2923⨸⪁(⋰*⋻1011↰))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":219,"operation_count":13,"complexity_ratio":16.846153846153847,"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":5825,"base":11},"right_expr":{"type":"numeric_atoms","value":1531,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1906,"base":11},"right_expr":{"type":"numeric_atoms","value":2844,"base":11}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4689,"base":11}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2786,"base":11},"right_expr":{"type":"numeric_atoms","value":4587,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4295,"base":11},"right_expr":{"type":"numeric_atoms","value":3776,"base":11}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1343,"base":11}}}}},"used_operators":["2Wsdkap16l","J0M6qkBnIM","4JB6nKBMSY","BiWNJpBvwn","kn8WO9XteQ","AvED76WdY7","glklzrTFfD","AzXXKTstlj","w5FWba1tyO","WhqkvtTD3t","g55IO6H4Gj","RabNbG55vr","bl5wxAcryP"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","sdazOOVcIp","NTOWxs364D","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","nCS4ZIUYfx","Z2TMIBDE3Q"],"result":"⋰*⋻-219","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5825","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=5825, right_input=1531, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=585","layer":3},{"info":"number node, value=1906","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=2844, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=627","layer":3},{"info":"compute binary expreesion, left_input=585, right_input=627, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=4378","layer":2},{"info":"number node, value=4689","layer":4},{"info":"compute unary expreesion, input=4689, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4689","layer":3},{"info":"compute unary expreesion, input=4689, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=27064","layer":2},{"info":"compute binary expreesion, left_input=4378, right_input=27064, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4378","layer":1},{"info":"number node, value=2786","layer":4},{"info":"number node, value=4587","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=4587, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=0","layer":2},{"info":"number node, value=4295","layer":4},{"info":"number node, value=3776","layer":4},{"info":"compute binary expreesion, left_input=4295, right_input=3776, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14578","layer":3},{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1242","layer":3},{"info":"compute binary expreesion, left_input=-14578, right_input=1242, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-26672","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-26672, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=4378, right_input=-260, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-262","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4416⩍⋽⫝̸⋰*⋻1172⇴(⋰*⋻1483⨭⪣⋰*⋻2156))⋣⋖(⊵⊁(⋰*⋻3583⨁⊸⫻))⩹(⪫⨮⊛(⋰*⋻2103⫉⨲⊜⋰*⋻34A0))∳⫺(⋰*⋻3255⫣⪄⊒⋰*⋻2923⨸⪁(⋰*⋻1011↰))=⋰*⋻-219","reverse_text":"⋰*⋻-219=(⋰*⋻4416⩍⋽⫝̸⋰*⋻1172⇴(⋰*⋻1483⨭⪣⋰*⋻2156))⋣⋖(⊵⊁(⋰*⋻3583⨁⊸⫻))⩹(⪫⨮⊛(⋰*⋻2103⫉⨲⊜⋰*⋻34A0))∳⫺(⋰*⋻3255⫣⪄⊒⋰*⋻2923⨸⪁(⋰*⋻1011↰))","cot":[{"info":"⋰*⋻4416⩍⋽⫝̸⋰*⋻1172=⋰*⋻492","layer":3},{"info":"⋰*⋻1483⨭⪣⋰*⋻2156=⋰*⋻520","layer":3},{"info":"⋰*⋻492⇴⋰*⋻520=⋰*⋻3320","layer":2},{"info":"⋰*⋻3583⨁⊸⫻=⋰*⋻3583","layer":3},{"info":"⊵⊁⋰*⋻3583=⋰*⋻19374","layer":2},{"info":"⋰*⋻3320⋣⋖⋰*⋻19374=⋰*⋻3320","layer":1},{"info":"⋰*⋻2103⫉⨲⊜⋰*⋻34A0=⋰*⋻0","layer":3},{"info":"⪫⨮⊛⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻3255⫣⪄⊒⋰*⋻2923=⋰*⋻-AA53","layer":3},{"info":"⋰*⋻1011↰=⋰*⋻A2A","layer":3},{"info":"⋰*⋻-AA53⨸⪁⋰*⋻A2A=⋰*⋻-19048","layer":2},{"info":"⋰*⋻0∳⫺⋰*⋻-19048=⋰*⋻-217","layer":1},{"info":"⋰*⋻3320⩹⋰*⋻-217=⋰*⋻-219","layer":0}]}
{"id":227,"expression_no_base_symbol":"($1041$⊭∹↮)⨿($7511$⩹$9286$)≦↸(∓⪦($1024$⫃⨇$4383$))⇄(⫛⫱⨽($3297$∼$1438$))⫒⫫($2291$⩦$2714$⫦⪉($2384$⨲∙))","expression":"(⋰*⋻867⊭∹↮)⨿(⋰*⋻5709⩹⋰*⋻6A82)≦↸(∓⪦(⋰*⋻851⫃⨇⋰*⋻3325))⇄(⫛⫱⨽(⋰*⋻2528∼⋰*⋻1098))⫒⫫(⋰*⋻17A3⩦⋰*⋻2048⫦⪉(⋰*⋻1878⨲∙))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1798,"operation_count":13,"complexity_ratio":138.30769230769232,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1041,"base":11}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":7511,"base":11},"right_expr":{"type":"numeric_atoms","value":9286,"base":11}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1024,"base":11},"right_expr":{"type":"numeric_atoms","value":4383,"base":11}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3297,"base":11},"right_expr":{"type":"numeric_atoms","value":1438,"base":11}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2291,"base":11},"right_expr":{"type":"numeric_atoms","value":2714,"base":11}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":2384,"base":11}}}}},"used_operators":["3EYGwJThht","RygbFNSyEJ","abYXlopdE0","xNBdhnnwKq","2Wsdkap16l","D309nIvmXG","09Ly4LVMIf","6Ko8hGgeMq","DlLNRPXxWL","DyGG3AbaNP","wscyQdcy20","0kmYd0q39Y","cRahaglYVE"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2082","layer":3},{"info":"number node, value=7511","layer":4},{"info":"number node, value=9286","layer":4},{"info":"compute binary expreesion, left_input=7511, right_input=9286, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=9284","layer":3},{"info":"compute binary expreesion, left_input=2082, right_input=9284, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=4383","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=4383, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-17564","layer":3},{"info":"compute unary expreesion, input=-17564, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-36774","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=-36774, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1000","layer":1},{"info":"number node, value=3297","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=1438, 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":"number node, value=2291","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=2714, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4582","layer":3},{"info":"number node, value=2384","layer":4},{"info":"compute unary expreesion, input=2384, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=30362294","layer":3},{"info":"compute binary expreesion, left_input=4582, right_input=30362294, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4264","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4264, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1000, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻867⊭∹↮)⨿(⋰*⋻5709⩹⋰*⋻6A82)≦↸(∓⪦(⋰*⋻851⫃⨇⋰*⋻3325))⇄(⫛⫱⨽(⋰*⋻2528∼⋰*⋻1098))⫒⫫(⋰*⋻17A3⩦⋰*⋻2048⫦⪉(⋰*⋻1878⨲∙))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻867⊭∹↮)⨿(⋰*⋻5709⩹⋰*⋻6A82)≦↸(∓⪦(⋰*⋻851⫃⨇⋰*⋻3325))⇄(⫛⫱⨽(⋰*⋻2528∼⋰*⋻1098))⫒⫫(⋰*⋻17A3⩦⋰*⋻2048⫦⪉(⋰*⋻1878⨲∙))","cot":[{"info":"⋰*⋻867⊭∹↮=⋰*⋻1623","layer":3},{"info":"⋰*⋻5709⩹⋰*⋻6A82=⋰*⋻6A80","layer":3},{"info":"⋰*⋻1623⨿⋰*⋻6A80=⋰*⋻-270","layer":2},{"info":"⋰*⋻851⫃⨇⋰*⋻3325=⋰*⋻-12218","layer":3},{"info":"∓⪦⋰*⋻-12218=⋰*⋻-256A1","layer":2},{"info":"⋰*⋻-270≦↸⋰*⋻-256A1=⋰*⋻82A","layer":1},{"info":"⋰*⋻2528∼⋰*⋻1098=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⋰*⋻17A3⩦⋰*⋻2048=⋰*⋻3496","layer":3},{"info":"⋰*⋻1878⨲∙=⋰*⋻16158706","layer":3},{"info":"⋰*⋻3496⫦⪉⋰*⋻16158706=⋰*⋻-3227","layer":2},{"info":"NaN⫒⫫⋰*⋻-3227=NaN","layer":1},{"info":"⋰*⋻82A⇄NaN=⋰*⋻0","layer":0}]}
{"id":228,"expression_no_base_symbol":"≱⇩⩕((⋣$2637$)⪎↠($3497$∷$1895$)⫡⨏(∤(-$5092$)))","expression":"≱⇩⩕((⋣⋰*⋻1A88)⪎↠(⋰*⋻269A∷⋰*⋻1473)⫡⨏(∤(-⋰*⋻390A)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":215,"operation_count":7,"complexity_ratio":30.714285714285715,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2637,"base":11}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3497,"base":11},"right_expr":{"type":"numeric_atoms","value":1895,"base":11}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5092,"base":11}}}}},"used_operators":["3DZMoQKiUl","QMFrweE19q","3tVxb0NHM4","zQWRhDnn8F","D3AQDKkPcf","k2HlF1dBQh","t8gj7n24qd"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"⋰*⋻A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2637","layer":4},{"info":"compute unary expreesion, input=2637, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-775183","layer":3},{"info":"number node, value=3497","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=3497, right_input=1895, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1895","layer":3},{"info":"compute binary expreesion, left_input=-775183, right_input=1895, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"number node, value=5092","layer":4},{"info":"compute unary expreesion, input=5092, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5092","layer":3},{"info":"compute unary expreesion, input=-5092, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=9, 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=526","layer":1},{"info":"compute unary expreesion, input=526, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":0}],"base":11,"result_base":11,"text":"≱⇩⩕((⋣⋰*⋻1A88)⪎↠(⋰*⋻269A∷⋰*⋻1473)⫡⨏(∤(-⋰*⋻390A)))=⋰*⋻A3","reverse_text":"⋰*⋻A3=≱⇩⩕((⋣⋰*⋻1A88)⪎↠(⋰*⋻269A∷⋰*⋻1473)⫡⨏(∤(-⋰*⋻390A)))","cot":[{"info":"⋣⋰*⋻1A88=⋰*⋻-48A452","layer":3},{"info":"⋰*⋻269A∷⋰*⋻1473=⋰*⋻1473","layer":3},{"info":"⋰*⋻-48A452⪎↠⋰*⋻1473=⋰*⋻-50","layer":2},{"info":"-⋰*⋻390A=⋰*⋻-390A","layer":3},{"info":"∤⋰*⋻-390A=⋰*⋻9","layer":2},{"info":"⋰*⋻-50⫡⨏⋰*⋻9=⋰*⋻439","layer":1},{"info":"≱⇩⩕⋰*⋻439=⋰*⋻A3","layer":0}]}
{"id":229,"expression_no_base_symbol":"↨⩢⫨(⫵↿(($3769$⪒⊣⊆$1253$)⨘))","expression":"↨⩢⫨(⫵↿((⋰*⋻2917⪒⊣⊆⋰*⋻A3A)⨘))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7644,"operation_count":4,"complexity_ratio":1911.0,"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":3769,"base":11},"right_expr":{"type":"numeric_atoms","value":1253,"base":11}}}}},"used_operators":["Z5CJsN7DuW","ivGwdmUAux","ljcfZBUpm8","eRqsBgTDFp"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","sdazOOVcIp","W4YGzv6Whe"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3769","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=1253, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7538","layer":3},{"info":"compute unary expreesion, input=7538, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-53541","layer":2},{"info":"compute unary expreesion, input=-53541, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute unary expreesion, input=137, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":11,"result_base":11,"text":"↨⩢⫨(⫵↿((⋰*⋻2917⪒⊣⊆⋰*⋻A3A)⨘))=⋰*⋻0","reverse_text":"⋰*⋻0=↨⩢⫨(⫵↿((⋰*⋻2917⪒⊣⊆⋰*⋻A3A)⨘))","cot":[{"info":"⋰*⋻2917⪒⊣⊆⋰*⋻A3A=⋰*⋻5733","layer":3},{"info":"⋰*⋻5733⨘=⋰*⋻-37254","layer":2},{"info":"⫵↿⋰*⋻-37254=⋰*⋻115","layer":1},{"info":"↨⩢⫨⋰*⋻115=⋰*⋻0","layer":0}]}
{"id":230,"expression_no_base_symbol":"(↨⩢⫨$3778$∇⊂⋱$2719$⇍⊗($3782$+$2608$))↤⩊((⋗⩬⋾$1442$⇄$2227$)↬(⊤⊝$1974$)↳∿⪆($1332$⇴∐$1301$))","expression":"(↨⩢⫨⋰*⋻2925∇⊂⋱⋰*⋻2052⇍⊗(⋰*⋻2929+⋰*⋻1A61))↤⩊((⋗⩬⋾⋰*⋻10A1⇄⋰*⋻1745)↬(⊤⊝⋰*⋻1535)↳∿⪆(⋰*⋻1001⇴∐⋰*⋻A83))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2674,"operation_count":11,"complexity_ratio":243.0909090909091,"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":3778,"base":11},"right_expr":{"type":"numeric_atoms","value":2719,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3782,"base":11},"right_expr":{"type":"numeric_atoms","value":2608,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1442,"base":11},"right_expr":{"type":"numeric_atoms","value":2227,"base":11}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1974,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1332,"base":11},"right_expr":{"type":"numeric_atoms","value":1301,"base":11}}}}},"used_operators":["13rbtpv6ld","Z5CJsN7DuW","5uvYHDjeKN","nhYeJWJD5X","W4YGzv6Whe","B5M0gjZbta","DpFCA1CohY","3EYGwJThht","Cw4SuJJGHO","rXAclfmB4M","HnzytWxmAO"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3778","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=2719, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7010","layer":3},{"info":"number node, value=3782","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=3782, right_input=2608, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6390","layer":3},{"info":"compute binary expreesion, left_input=7010, right_input=6390, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1442","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=2227, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"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":2},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2650","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=1301, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2650, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=0, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↨⩢⫨⋰*⋻2925∇⊂⋱⋰*⋻2052⇍⊗(⋰*⋻2929+⋰*⋻1A61))↤⩊((⋗⩬⋾⋰*⋻10A1⇄⋰*⋻1745)↬(⊤⊝⋰*⋻1535)↳∿⪆(⋰*⋻1001⇴∐⋰*⋻A83))=NaN","reverse_text":"NaN=(↨⩢⫨⋰*⋻2925∇⊂⋱⋰*⋻2052⇍⊗(⋰*⋻2929+⋰*⋻1A61))↤⩊((⋗⩬⋾⋰*⋻10A1⇄⋰*⋻1745)↬(⊤⊝⋰*⋻1535)↳∿⪆(⋰*⋻1001⇴∐⋰*⋻A83))","cot":[{"info":"⋰*⋻2925∇⊂⋱⋰*⋻2052=⋰*⋻52A3","layer":3},{"info":"⋰*⋻2929+⋰*⋻1A61=⋰*⋻488A","layer":3},{"info":"⋰*⋻52A3⇍⊗⋰*⋻488A=⋰*⋻-202","layer":2},{"info":"↨⩢⫨⋰*⋻-202=⋰*⋻0","layer":1},{"info":"⋰*⋻10A1⇄⋰*⋻1745=⋰*⋻0","layer":3},{"info":"⋗⩬⋾⋰*⋻0=⋰*⋻0","layer":2},{"info":"⊤⊝⋰*⋻1535=⋰*⋻1A9A","layer":3},{"info":"⋰*⋻1001⇴∐⋰*⋻A83=NaN","layer":3},{"info":"⋰*⋻1A9A↳∿⪆NaN=NaN","layer":2},{"info":"⋰*⋻0↬NaN=NaN","layer":1},{"info":"⋰*⋻0↤⩊NaN=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"(($2240$∧)⪡($2348$⩚⊴⇥$3339$)⋓($1057$⨫⇇↔$5523$⩁))↹⊜(⩏⊷≩(∷≠($1042$⊚⫡⫭)))","expression":"((⋰*⋻1757∧)⪡(⋰*⋻1845⩚⊴⇥⋰*⋻2566)⋓(⋰*⋻881⨫⇇↔⋰*⋻4171⩁))↹⊜(⩏⊷≩(∷≠(⋰*⋻868⊚⫡⫭)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":125,"operation_count":10,"complexity_ratio":12.5,"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":2240,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2348,"base":11},"right_expr":{"type":"numeric_atoms","value":3339,"base":11}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1057,"base":11},"right_expr":{"type":"numeric_atoms","value":5523,"base":11}}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1042,"base":11}}}}},"used_operators":["9bazX3JMtO","T2fj7uvVaJ","oraRL2iQuh","z63VuFQld9","NTOWxs364D","5GqDbVmqXU","LXhwmt4mBO","uOZ1tnYMDE","QiR2Oyf5Xj","SpZWOsLKZJ"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","23Mk6UjR3U","12rbrZMWeM","7j4O788W3g","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx"],"result":"⋰*⋻-29670","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2240","layer":4},{"info":"compute unary expreesion, input=2240, 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=2348","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=3339, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5808","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5808, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=5523","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=5523, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=527, 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=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1158","layer":3},{"info":"compute unary expreesion, input=-1158, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-1158","layer":2},{"info":"compute unary expreesion, input=-1158, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=5246","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5246, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-42064","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1757∧)⪡(⋰*⋻1845⩚⊴⇥⋰*⋻2566)⋓(⋰*⋻881⨫⇇↔⋰*⋻4171⩁))↹⊜(⩏⊷≩(∷≠(⋰*⋻868⊚⫡⫭)))=⋰*⋻-29670","reverse_text":"⋰*⋻-29670=((⋰*⋻1757∧)⪡(⋰*⋻1845⩚⊴⇥⋰*⋻2566)⋓(⋰*⋻881⨫⇇↔⋰*⋻4171⩁))↹⊜(⩏⊷≩(∷≠(⋰*⋻868⊚⫡⫭)))","cot":[{"info":"⋰*⋻1757∧=NaN","layer":3},{"info":"⋰*⋻1845⩚⊴⇥⋰*⋻2566=⋰*⋻-4400","layer":3},{"info":"NaN⪡⋰*⋻-4400=NaN","layer":2},{"info":"⋰*⋻881⨫⇇↔⋰*⋻4171=⋰*⋻-43A","layer":3},{"info":"⋰*⋻-43A⩁=⋰*⋻43A","layer":2},{"info":"NaN⋓⋰*⋻43A=⋰*⋻0","layer":1},{"info":"⋰*⋻868⊚⫡⫭=⋰*⋻-963","layer":3},{"info":"∷≠⋰*⋻-963=⋰*⋻-963","layer":2},{"info":"⩏⊷≩⋰*⋻-963=⋰*⋻3A3A","layer":1},{"info":"⋰*⋻0↹⊜⋰*⋻3A3A=⋰*⋻-29670","layer":0}]}
{"id":232,"expression_no_base_symbol":"(≇⪴($1626$⨫⇇↔$4632$⫃⨇$8189$⨳⩥⨓$1128$))⫰⋱(∮$2609$⩦$2835$)≒∊((⫯$4667$)⋾⨃∁($2597$⊀⩕))","expression":"(≇⪴(⋰*⋻1249⨫⇇↔⋰*⋻3531⫃⨇⋰*⋻6175⨳⩥⨓⋰*⋻936))⫰⋱(∮⋰*⋻1A62⩦⋰*⋻2148)≒∊((⫯⋰*⋻3563)⋾⨃∁(⋰*⋻1A51⊀⩕))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1719,"operation_count":11,"complexity_ratio":156.27272727272728,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1626,"base":11},"right_expr":{"type":"numeric_atoms","value":4632,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8189,"base":11},"right_expr":{"type":"numeric_atoms","value":1128,"base":11}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2609,"base":11},"right_expr":{"type":"numeric_atoms","value":2835,"base":11}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":4667,"base":11}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":2597,"base":11}}}}},"used_operators":["6o9Blt3TJ6","zoVPnxeHJ3","09Ly4LVMIf","LXhwmt4mBO","nCS4ZIUYfx","5KTvxBwnZo","CqXKPLVYql","0kmYd0q39Y","212REbPD9h","H6BK1Evt7c","r0FS3hW4cC"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","rGHVDoGpnC","nhYeJWJD5X"],"result":"⋰*⋻57674","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1626","layer":4},{"info":"number node, value=4632","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=4632, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=8189","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=8189, right_input=1128, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7061","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-7061, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=28212","layer":2},{"info":"compute unary expreesion, input=28212, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-83296","layer":1},{"info":"number node, value=2609","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=2835, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5218","layer":3},{"info":"compute unary expreesion, input=5218, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":2},{"info":"number node, value=4667","layer":4},{"info":"compute unary expreesion, input=4667, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-181226","layer":3},{"info":"number node, value=2597","layer":4},{"info":"compute unary expreesion, input=2597, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-181226, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=417","layer":1},{"info":"compute binary expreesion, left_input=-83296, right_input=417, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=83329","layer":0}],"base":11,"result_base":11,"text":"(≇⪴(⋰*⋻1249⨫⇇↔⋰*⋻3531⫃⨇⋰*⋻6175⨳⩥⨓⋰*⋻936))⫰⋱(∮⋰*⋻1A62⩦⋰*⋻2148)≒∊((⫯⋰*⋻3563)⋾⨃∁(⋰*⋻1A51⊀⩕))=⋰*⋻57674","reverse_text":"⋰*⋻57674=(≇⪴(⋰*⋻1249⨫⇇↔⋰*⋻3531⫃⨇⋰*⋻6175⨳⩥⨓⋰*⋻936))⫰⋱(∮⋰*⋻1A62⩦⋰*⋻2148)≒∊((⫯⋰*⋻3563)⋾⨃∁(⋰*⋻1A51⊀⩕))","cot":[{"info":"⋰*⋻1249⨫⇇↔⋰*⋻3531=⋰*⋻-43A","layer":3},{"info":"⋰*⋻6175⨳⩥⨓⋰*⋻936=⋰*⋻-533A","layer":3},{"info":"⋰*⋻-43A⫃⨇⋰*⋻-533A=⋰*⋻1A218","layer":2},{"info":"≇⪴⋰*⋻1A218=⋰*⋻-57644","layer":1},{"info":"⋰*⋻1A62⩦⋰*⋻2148=⋰*⋻3A14","layer":3},{"info":"∮⋰*⋻3A14=⋰*⋻61","layer":2},{"info":"⫯⋰*⋻3563=⋰*⋻-114181","layer":3},{"info":"⋰*⋻1A51⊀⩕=⋰*⋻0","layer":3},{"info":"⋰*⋻-114181⋾⨃∁⋰*⋻0=⋰*⋻136","layer":2},{"info":"⋰*⋻61≒∊⋰*⋻136=⋰*⋻34A","layer":1},{"info":"⋰*⋻-57644⫰⋱⋰*⋻34A=⋰*⋻57674","layer":0}]}
{"id":233,"expression_no_base_symbol":"((⨛$8126$)⊊)⨿($4909$⊴$1598$⇌⫙⪟($8434$⫍⨯↯))⫸⇳((⩒∊$4791$)≠≀($3502$⩚⊴⇥$4164$))⊢($3181$⇡⇂$2508$⋅⇍$2106$⋛$2656$)","expression":"((⨛⋰*⋻6118)⊊)⨿(⋰*⋻3763⊴⋰*⋻1223⇌⫙⪟(⋰*⋻6378⫍⨯↯))⫸⇳((⩒∊⋰*⋻3666)≠≀(⋰*⋻26A4⩚⊴⇥⋰*⋻3146))⊢(⋰*⋻2432⇡⇂⋰*⋻1980⋅⇍⋰*⋻1645⋛⋰*⋻1AA5)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":21907,"operation_count":14,"complexity_ratio":1564.7857142857142,"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":8126,"base":11}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4909,"base":11},"right_expr":{"type":"numeric_atoms","value":1598,"base":11}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":8434,"base":11}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":4791,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3502,"base":11},"right_expr":{"type":"numeric_atoms","value":4164,"base":11}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3181,"base":11},"right_expr":{"type":"numeric_atoms","value":2508,"base":11}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2106,"base":11},"right_expr":{"type":"numeric_atoms","value":2656,"base":11}}}}},"used_operators":["gx7XJ7hdpj","abYXlopdE0","W9R8I5fN5A","CoMdbyAt7R","AFVx7xoS7T","Nsiff2A1zJ","ZcwmYACASQ","5twsqlHp2o","IwW236VD4Y","qazvmhNBbN","NTOWxs364D","AdZkA7nFnk","UMwdvZNt44","YbUVn0Rbpy"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","dWAJyo7jo9","14qkJME0vr","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8126","layer":4},{"info":"compute unary expreesion, input=8126, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=nan","layer":2},{"info":"number node, value=4909","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=4909, right_input=1598, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=8434","layer":4},{"info":"compute unary expreesion, input=8434, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=8401","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8401, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=4791","layer":4},{"info":"compute unary expreesion, input=4791, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=8825","layer":3},{"info":"number node, value=3502","layer":4},{"info":"number node, value=4164","layer":4},{"info":"compute binary expreesion, left_input=3502, right_input=4164, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7787","layer":3},{"info":"compute binary expreesion, left_input=8825, right_input=-7787, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1159","layer":2},{"info":"number node, value=3181","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=2508, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=2106","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=2656, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-113238","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-113238, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1159, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=2074","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=2074, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⨛⋰*⋻6118)⊊)⨿(⋰*⋻3763⊴⋰*⋻1223⇌⫙⪟(⋰*⋻6378⫍⨯↯))⫸⇳((⩒∊⋰*⋻3666)≠≀(⋰*⋻26A4⩚⊴⇥⋰*⋻3146))⊢(⋰*⋻2432⇡⇂⋰*⋻1980⋅⇍⋰*⋻1645⋛⋰*⋻1AA5)=⋰*⋻0","reverse_text":"⋰*⋻0=((⨛⋰*⋻6118)⊊)⨿(⋰*⋻3763⊴⋰*⋻1223⇌⫙⪟(⋰*⋻6378⫍⨯↯))⫸⇳((⩒∊⋰*⋻3666)≠≀(⋰*⋻26A4⩚⊴⇥⋰*⋻3146))⊢(⋰*⋻2432⇡⇂⋰*⋻1980⋅⇍⋰*⋻1645⋛⋰*⋻1AA5)","cot":[{"info":"⨛⋰*⋻6118=NaN","layer":3},{"info":"NaN⊊=NaN","layer":2},{"info":"⋰*⋻3763⊴⋰*⋻1223=NaN","layer":3},{"info":"⋰*⋻6378⫍⨯↯=⋰*⋻6348","layer":3},{"info":"NaN⇌⫙⪟⋰*⋻6348=NaN","layer":2},{"info":"NaN⨿NaN=⋰*⋻61","layer":1},{"info":"⩒∊⋰*⋻3666=⋰*⋻66A3","layer":3},{"info":"⋰*⋻26A4⩚⊴⇥⋰*⋻3146=⋰*⋻-593A","layer":3},{"info":"⋰*⋻66A3≠≀⋰*⋻-593A=⋰*⋻-964","layer":2},{"info":"⋰*⋻2432⇡⇂⋰*⋻1980=NaN","layer":3},{"info":"⋰*⋻1645⋛⋰*⋻1AA5=⋰*⋻-78094","layer":3},{"info":"NaN⋅⇍⋰*⋻-78094=NaN","layer":2},{"info":"⋰*⋻-964⊢NaN=⋰*⋻1616","layer":1},{"info":"⋰*⋻61⫸⇳⋰*⋻1616=⋰*⋻0","layer":0}]}
{"id":234,"expression_no_base_symbol":"(($5452$∀⇚≩$1770$)+⪬∐($1719$⩷∴$1877$)⨵⪆(⫓⪴($4603$⪇≇⋚$3691$)))⩌⋺((($1556$⪠⩆⊳)⋫)≳⇉($3380$⋣⋖$1054$⫲))","expression":"((⋰*⋻4107∀⇚≩⋰*⋻136A)+⪬∐(⋰*⋻1323⩷∴⋰*⋻1457)⨵⪆(⫓⪴(⋰*⋻3505⪇≇⋚⋰*⋻2856)))⩌⋺(((⋰*⋻1195⪠⩆⊳)⋫)≳⇉(⋰*⋻25A3⋣⋖⋰*⋻879⫲))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":91739056,"operation_count":12,"complexity_ratio":7644921.333333333,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5452,"base":11},"right_expr":{"type":"numeric_atoms","value":1770,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1719,"base":11},"right_expr":{"type":"numeric_atoms","value":1877,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4603,"base":11},"right_expr":{"type":"numeric_atoms","value":3691,"base":11}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1556,"base":11}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3380,"base":11},"right_expr":{"type":"numeric_atoms","value":1054,"base":11}}}}},"used_operators":["g7Hmc5v1ko","2DQ55sFlQl","2GS7woTJqF","LRNGc0VcxI","9FxExcQeMw","eLxqMNBOBk","3sJ7IOPOlU","V0kx6qeWkN","JL8yIekQnl","JLbD19bQDL","9xnGDUPbC6","J0M6qkBnIM"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","X99M06cbEe","rysDP5nf3Z","9HNa5Wba9A","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5452","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=5452, right_input=1770, 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=1719","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=1877, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-348","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-348, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=4603","layer":4},{"info":"number node, value=3691","layer":4},{"info":"compute binary expreesion, left_input=4603, right_input=3691, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute 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=1556","layer":4},{"info":"compute unary expreesion, input=1556, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"number node, value=3380","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=1054, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3380","layer":3},{"info":"compute unary expreesion, input=3380, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=3107","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3107, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4107∀⇚≩⋰*⋻136A)+⪬∐(⋰*⋻1323⩷∴⋰*⋻1457)⨵⪆(⫓⪴(⋰*⋻3505⪇≇⋚⋰*⋻2856)))⩌⋺(((⋰*⋻1195⪠⩆⊳)⋫)≳⇉(⋰*⋻25A3⋣⋖⋰*⋻879⫲))=NaN","reverse_text":"NaN=((⋰*⋻4107∀⇚≩⋰*⋻136A)+⪬∐(⋰*⋻1323⩷∴⋰*⋻1457)⨵⪆(⫓⪴(⋰*⋻3505⪇≇⋚⋰*⋻2856)))⩌⋺(((⋰*⋻1195⪠⩆⊳)⋫)≳⇉(⋰*⋻25A3⋣⋖⋰*⋻879⫲))","cot":[{"info":"⋰*⋻4107∀⇚≩⋰*⋻136A=NaN","layer":3},{"info":"⋰*⋻1323⩷∴⋰*⋻1457=⋰*⋻-297","layer":3},{"info":"NaN+⪬∐⋰*⋻-297=NaN","layer":2},{"info":"⋰*⋻3505⪇≇⋚⋰*⋻2856=⋰*⋻0","layer":3},{"info":"⫓⪴⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⨵⪆⋰*⋻0=⋰*⋻136","layer":1},{"info":"⋰*⋻1195⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻0⋫=⋰*⋻0","layer":2},{"info":"⋰*⋻25A3⋣⋖⋰*⋻879=⋰*⋻25A3","layer":3},{"info":"⋰*⋻25A3⫲=⋰*⋻2375","layer":2},{"info":"⋰*⋻0≳⇉⋰*⋻2375=NaN","layer":1},{"info":"⋰*⋻136⩌⋺NaN=NaN","layer":0}]}
{"id":235,"expression_no_base_symbol":"⪁⇼((($3025$⊍⩺⋍$1067$)⫰⋱$2995$⇂≾⫗$1735$)⊲⩕⊾(⊿$4591$)∇⊂⋱(∐⩳⋚$9188$))","expression":"⪁⇼(((⋰*⋻2300⊍⩺⋍⋰*⋻890)⫰⋱⋰*⋻2283⇂≾⫗⋰*⋻1338)⊲⩕⊾(⊿⋰*⋻34A4)∇⊂⋱(∐⩳⋚⋰*⋻69A3))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":504,"operation_count":8,"complexity_ratio":63.0,"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":3025,"base":11},"right_expr":{"type":"numeric_atoms","value":1067,"base":11}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2995,"base":11},"right_expr":{"type":"numeric_atoms","value":1735,"base":11}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4591,"base":11}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":9188,"base":11}}}}},"used_operators":["ZNVVrZ94lY","DmTXOeWf9t","6o9Blt3TJ6","OXDGMFPWZM","aBQ6xLxuTc","nhYeJWJD5X","DO4fhlbJSI","SL6IHkK8vl"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3025","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=1067, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2995","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=2995, right_input=1735, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=4591","layer":4},{"info":"compute unary expreesion, input=4591, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-19102","layer":3},{"info":"number node, value=9188","layer":4},{"info":"compute unary expreesion, input=9188, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=1369005","layer":3},{"info":"compute binary expreesion, left_input=-19102, right_input=1369005, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-2738010","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2738010, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪁⇼(((⋰*⋻2300⊍⩺⋍⋰*⋻890)⫰⋱⋰*⋻2283⇂≾⫗⋰*⋻1338)⊲⩕⊾(⊿⋰*⋻34A4)∇⊂⋱(∐⩳⋚⋰*⋻69A3))=NaN","reverse_text":"NaN=⪁⇼(((⋰*⋻2300⊍⩺⋍⋰*⋻890)⫰⋱⋰*⋻2283⇂≾⫗⋰*⋻1338)⊲⩕⊾(⊿⋰*⋻34A4)∇⊂⋱(∐⩳⋚⋰*⋻69A3))","cot":[{"info":"⋰*⋻2300⊍⩺⋍⋰*⋻890=NaN","layer":3},{"info":"⋰*⋻2283⇂≾⫗⋰*⋻1338=⋰*⋻-565","layer":3},{"info":"NaN⫰⋱⋰*⋻-565=NaN","layer":2},{"info":"⊿⋰*⋻34A4=⋰*⋻-13396","layer":3},{"info":"∐⩳⋚⋰*⋻69A3=⋰*⋻855610","layer":3},{"info":"⋰*⋻-13396∇⊂⋱⋰*⋻855610=⋰*⋻-1600120","layer":2},{"info":"NaN⊲⩕⊾⋰*⋻-1600120=NaN","layer":1},{"info":"⪁⇼NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"⫯((⪁⇼($1142$⫌⩉⩟$6475$))⪭≯($1493$⇼⇔∾$2967$)⨽∌($4966$⋾⨃∁$1205$))","expression":"⫯((⪁⇼(⋰*⋻949⫌⩉⩟⋰*⋻4957))⪭≯(⋰*⋻1138⇼⇔∾⋰*⋻2258)⨽∌(⋰*⋻3805⋾⨃∁⋰*⋻9A6))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36139,"operation_count":7,"complexity_ratio":5162.714285714285,"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":1142,"base":11},"right_expr":{"type":"numeric_atoms","value":6475,"base":11}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1493,"base":11},"right_expr":{"type":"numeric_atoms","value":2967,"base":11}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4966,"base":11},"right_expr":{"type":"numeric_atoms","value":1205,"base":11}}}}},"used_operators":["H6BK1Evt7c","XAx5wpdLa6","ZNVVrZ94lY","XIIwhv8d0m","9samAPKr6k","tifHPKVTfV","212REbPD9h"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=6475, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=1493","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=2967, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1474","layer":3},{"info":"number node, value=4966","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=4966, right_input=1205, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=14505696","layer":3},{"info":"compute binary expreesion, left_input=1474, right_input=14505696, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫯((⪁⇼(⋰*⋻949⫌⩉⩟⋰*⋻4957))⪭≯(⋰*⋻1138⇼⇔∾⋰*⋻2258)⨽∌(⋰*⋻3805⋾⨃∁⋰*⋻9A6))=NaN","reverse_text":"NaN=⫯((⪁⇼(⋰*⋻949⫌⩉⩟⋰*⋻4957))⪭≯(⋰*⋻1138⇼⇔∾⋰*⋻2258)⨽∌(⋰*⋻3805⋾⨃∁⋰*⋻9A6))","cot":[{"info":"⋰*⋻949⫌⩉⩟⋰*⋻4957=⋰*⋻-46","layer":3},{"info":"⪁⇼⋰*⋻-46=⋰*⋻354","layer":2},{"info":"⋰*⋻1138⇼⇔∾⋰*⋻2258=⋰*⋻1120","layer":3},{"info":"⋰*⋻3805⋾⨃∁⋰*⋻9A6=⋰*⋻8208387","layer":3},{"info":"⋰*⋻1120⨽∌⋰*⋻8208387=⋰*⋻0","layer":2},{"info":"⋰*⋻354⪭≯⋰*⋻0=NaN","layer":1},{"info":"⫯NaN=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"(⇖⫷⫕($1145$⪝$9580$⇗⋫))⪕(($1140$⫳≱↱$1579$)⨒$1525$∺≝⩲$2343$)⨥⫆(⊈($1685$⊍⩺⋍$1010$))","expression":"(⇖⫷⫕(⋰*⋻951⪝⋰*⋻721A⇗⋫))⪕((⋰*⋻947⫳≱↱⋰*⋻1206)⨒⋰*⋻1167∺≝⩲⋰*⋻1840)⨥⫆(⊈(⋰*⋻12A2⊍⩺⋍⋰*⋻839))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1669,"operation_count":10,"complexity_ratio":166.9,"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":1145,"base":11},"right_expr":{"type":"numeric_atoms","value":9580,"base":11}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1140,"base":11},"right_expr":{"type":"numeric_atoms","value":1579,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1525,"base":11},"right_expr":{"type":"numeric_atoms","value":2343,"base":11}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1685,"base":11},"right_expr":{"type":"numeric_atoms","value":1010,"base":11}}}}},"used_operators":["umQnsF7QlU","UHmRx3INFg","hpqmaQFPrd","wicAB68Tmb","yXekIHxTD4","y75s1iXyHd","ZvLB05nZmT","KPf6cnQVty","RHru8klgy8","OXDGMFPWZM"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","rxpJgHHUmx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⋰*⋻780","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1145","layer":4},{"info":"number node, value=9580","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=9580, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=1140","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1579, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1525","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=2343, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=160, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"number node, value=1685","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=1010, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":11,"result_base":11,"text":"(⇖⫷⫕(⋰*⋻951⪝⋰*⋻721A⇗⋫))⪕((⋰*⋻947⫳≱↱⋰*⋻1206)⨒⋰*⋻1167∺≝⩲⋰*⋻1840)⨥⫆(⊈(⋰*⋻12A2⊍⩺⋍⋰*⋻839))=⋰*⋻780","reverse_text":"⋰*⋻780=(⇖⫷⫕(⋰*⋻951⪝⋰*⋻721A⇗⋫))⪕((⋰*⋻947⫳≱↱⋰*⋻1206)⨒⋰*⋻1167∺≝⩲⋰*⋻1840)⨥⫆(⊈(⋰*⋻12A2⊍⩺⋍⋰*⋻839))","cot":[{"info":"⋰*⋻951⪝⋰*⋻721A=⋰*⋻1A6","layer":3},{"info":"⋰*⋻1A6⇗⋫=NaN","layer":2},{"info":"⇖⫷⫕NaN=⋰*⋻2136","layer":1},{"info":"⋰*⋻947⫳≱↱⋰*⋻1206=⋰*⋻-176","layer":3},{"info":"⋰*⋻1167∺≝⩲⋰*⋻1840=⋰*⋻136","layer":3},{"info":"⋰*⋻-176⨒⋰*⋻136=⋰*⋻1","layer":2},{"info":"⋰*⋻12A2⊍⩺⋍⋰*⋻839=NaN","layer":3},{"info":"⊈NaN=NaN","layer":2},{"info":"⋰*⋻1⨥⫆NaN=NaN","layer":1},{"info":"⋰*⋻2136⪕NaN=⋰*⋻780","layer":0}]}
{"id":238,"expression_no_base_symbol":"((⊢≑≆$1083$)≎⪠($2229$∺≝⩲$3796$)/$5995$≄⊠$1056$⨒$1047$⊝⪿⪼$5114$)⇼⇔∾($4118$⨐⩸⫘$1702$⊾⪯⋞(⨂⪏⇭$6627$)⫡⨏$1239$∛$5973$⪮%⊝($2593$⇌⫙⪟$4670$))","expression":"((⊢≑≆⋰*⋻8A5)≎⪠(⋰*⋻1747∺≝⩲⋰*⋻2941)/⋰*⋻4560≄⊠⋰*⋻880⨒⋰*⋻872⊝⪿⪼⋰*⋻392A)⇼⇔∾(⋰*⋻3104⨐⩸⫘⋰*⋻1308⊾⪯⋞(⨂⪏⇭⋰*⋻4A85)⫡⨏⋰*⋻A27∛⋰*⋻4540⪮%⊝(⋰*⋻1A48⇌⫙⪟⋰*⋻3566))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19427,"operation_count":15,"complexity_ratio":1295.1333333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1083,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2229,"base":11},"right_expr":{"type":"numeric_atoms","value":3796,"base":11}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5995,"base":11},"right_expr":{"type":"numeric_atoms","value":1056,"base":11}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1047,"base":11},"right_expr":{"type":"numeric_atoms","value":5114,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4118,"base":11},"right_expr":{"type":"numeric_atoms","value":1702,"base":11}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":6627,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1239,"base":11},"right_expr":{"type":"numeric_atoms","value":5973,"base":11}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2593,"base":11},"right_expr":{"type":"numeric_atoms","value":4670,"base":11}}}}},"used_operators":["tifHPKVTfV","XhwjNDsVaA","aNhz54LH3e","27wFxooxGf","KPf6cnQVty","y75s1iXyHd","vXNesLlMH1","3Oe9XWJUTD","QMFrweE19q","HK0tfVPux8","fu6greOZ01","AYdpE9sXAk","IWmyXbctLI","w2537kitQq","AFVx7xoS7T"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","3ViojmjbAp","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4784","layer":3},{"info":"number node, value=2229","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=2229, right_input=3796, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4784, right_input=160, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=5995","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=5995, right_input=1056, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=21564","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=5114","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=5114, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25637","layer":3},{"info":"compute binary expreesion, left_input=21564, right_input=25637, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-129012","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-129012, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"info":"number node, value=4118","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=4118, right_input=1702, 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=6627","layer":4},{"info":"compute unary expreesion, input=6627, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=18902","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18902, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=1239","layer":4},{"info":"number node, value=5973","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=5973, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2593","layer":4},{"info":"number node, value=4670","layer":4},{"info":"compute binary expreesion, left_input=2593, right_input=4670, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=113, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1024","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1024, 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=-1, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊢≑≆⋰*⋻8A5)≎⪠(⋰*⋻1747∺≝⩲⋰*⋻2941)/⋰*⋻4560≄⊠⋰*⋻880⨒⋰*⋻872⊝⪿⪼⋰*⋻392A)⇼⇔∾(⋰*⋻3104⨐⩸⫘⋰*⋻1308⊾⪯⋞(⨂⪏⇭⋰*⋻4A85)⫡⨏⋰*⋻A27∛⋰*⋻4540⪮%⊝(⋰*⋻1A48⇌⫙⪟⋰*⋻3566))=NaN","reverse_text":"NaN=((⊢≑≆⋰*⋻8A5)≎⪠(⋰*⋻1747∺≝⩲⋰*⋻2941)/⋰*⋻4560≄⊠⋰*⋻880⨒⋰*⋻872⊝⪿⪼⋰*⋻392A)⇼⇔∾(⋰*⋻3104⨐⩸⫘⋰*⋻1308⊾⪯⋞(⨂⪏⇭⋰*⋻4A85)⫡⨏⋰*⋻A27∛⋰*⋻4540⪮%⊝(⋰*⋻1A48⇌⫙⪟⋰*⋻3566))","cot":[{"info":"⊢≑≆⋰*⋻8A5=⋰*⋻365A","layer":3},{"info":"⋰*⋻1747∺≝⩲⋰*⋻2941=⋰*⋻136","layer":3},{"info":"⋰*⋻365A≎⪠⋰*⋻136=⋰*⋻13770","layer":2},{"info":"⋰*⋻4560≄⊠⋰*⋻880=⋰*⋻15224","layer":3},{"info":"⋰*⋻872⊝⪿⪼⋰*⋻392A=⋰*⋻18297","layer":3},{"info":"⋰*⋻15224⨒⋰*⋻18297=⋰*⋻-88A24","layer":2},{"info":"⋰*⋻13770/⋰*⋻-88A24=⋰*⋻-1","layer":1},{"info":"⋰*⋻3104⨐⩸⫘⋰*⋻1308=NaN","layer":3},{"info":"⨂⪏⇭⋰*⋻4A85=⋰*⋻13224","layer":3},{"info":"NaN⊾⪯⋞⋰*⋻13224=NaN","layer":2},{"info":"⋰*⋻A27∛⋰*⋻4540=⋰*⋻-55A","layer":3},{"info":"⋰*⋻1A48⇌⫙⪟⋰*⋻3566=⋰*⋻A3","layer":3},{"info":"⋰*⋻-55A⪮%⊝⋰*⋻A3=⋰*⋻-851","layer":2},{"info":"NaN⫡⨏⋰*⋻-851=NaN","layer":1},{"info":"⋰*⋻-1⇼⇔∾NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(∓($4045$⊝)⪚($1211$↼⊘⨖$1968$))⋅⇍(⩷⨜⫀($5466$⨐⩸⫘$8468$))⪚(($2401$≓∲$2942$)⨳⩥⨓$8312$≳⇉$4821$)","expression":"(∓(⋰*⋻3048⊝)⪚(⋰*⋻A01↼⊘⨖⋰*⋻152A))⋅⇍(⩷⨜⫀(⋰*⋻411A⨐⩸⫘⋰*⋻63A9))⪚((⋰*⋻1893≓∲⋰*⋻2235)⨳⩥⨓⋰*⋻6277≳⇉⋰*⋻3693)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":262941537,"operation_count":11,"complexity_ratio":23903776.09090909,"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":4045,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1211,"base":11},"right_expr":{"type":"numeric_atoms","value":1968,"base":11}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5466,"base":11},"right_expr":{"type":"numeric_atoms","value":8468,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2401,"base":11},"right_expr":{"type":"numeric_atoms","value":2942,"base":11}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":8312,"base":11},"right_expr":{"type":"numeric_atoms","value":4821,"base":11}}}}},"used_operators":["AdZkA7nFnk","OwUj7dcsQK","HrjLwUk87U","O6EZ0fifGK","bPywburJMS","CDi0ktkjQ4","fu6greOZ01","nCS4ZIUYfx","s1XTVnmDOJ","V0kx6qeWkN"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⋰*⋻6751","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4045","layer":4},{"info":"compute unary expreesion, input=4045, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=4045","layer":3},{"info":"number node, value=1211","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1968, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3714","layer":3},{"info":"compute binary expreesion, left_input=4045, right_input=3714, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=306","layer":2},{"info":"compute unary expreesion, input=306, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-9462","layer":1},{"info":"number node, value=5466","layer":4},{"info":"number node, value=8468","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=8468, 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 = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":2},{"info":"number node, value=2401","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=2942, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=24793","layer":3},{"info":"number node, value=8312","layer":4},{"info":"number node, value=4821","layer":4},{"info":"compute binary expreesion, left_input=8312, right_input=4821, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=24793, 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=-134, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9462, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=8889","layer":0}],"base":11,"result_base":11,"text":"(∓(⋰*⋻3048⊝)⪚(⋰*⋻A01↼⊘⨖⋰*⋻152A))⋅⇍(⩷⨜⫀(⋰*⋻411A⨐⩸⫘⋰*⋻63A9))⪚((⋰*⋻1893≓∲⋰*⋻2235)⨳⩥⨓⋰*⋻6277≳⇉⋰*⋻3693)=⋰*⋻6751","reverse_text":"⋰*⋻6751=(∓(⋰*⋻3048⊝)⪚(⋰*⋻A01↼⊘⨖⋰*⋻152A))⋅⇍(⩷⨜⫀(⋰*⋻411A⨐⩸⫘⋰*⋻63A9))⪚((⋰*⋻1893≓∲⋰*⋻2235)⨳⩥⨓⋰*⋻6277≳⇉⋰*⋻3693)","cot":[{"info":"⋰*⋻3048⊝=⋰*⋻3048","layer":3},{"info":"⋰*⋻A01↼⊘⨖⋰*⋻152A=⋰*⋻2877","layer":3},{"info":"⋰*⋻3048⪚⋰*⋻2877=⋰*⋻259","layer":2},{"info":"∓⋰*⋻259=⋰*⋻-7122","layer":1},{"info":"⋰*⋻411A⨐⩸⫘⋰*⋻63A9=NaN","layer":3},{"info":"⩷⨜⫀NaN=⋰*⋻-112","layer":2},{"info":"⋰*⋻1893≓∲⋰*⋻2235=⋰*⋻1769A","layer":3},{"info":"⋰*⋻6277≳⇉⋰*⋻3693=NaN","layer":3},{"info":"⋰*⋻1769A⨳⩥⨓NaN=NaN","layer":2},{"info":"⋰*⋻-112⪚NaN=NaN","layer":1},{"info":"⋰*⋻-7122⋅⇍NaN=⋰*⋻6751","layer":0}]}
{"id":240,"expression_no_base_symbol":"((⩰$1266$)≁↽≥($2958$∥⊢⊲$1596$)↸(⇘$1095$)⨿($4755$⋆⋳))⨑⩅≇(($7187$⩇∃⫛$1775$/(⨈⪑$1334$))⩼⇪↪($1882$⋭≵$3041$)≁↽≥($3528$⋥≓≎$1370$))","expression":"((⩰⋰*⋻A51)≁↽≥(⋰*⋻224A∥⊢⊲⋰*⋻1221)↸(⇘⋰*⋻906)⨿(⋰*⋻3633⋆⋳))⨑⩅≇((⋰*⋻5444⩇∃⫛⋰*⋻1374/(⨈⪑⋰*⋻1003))⩼⇪↪(⋰*⋻1461⋭≵⋰*⋻2315)≁↽≥(⋰*⋻2718⋥≓≎⋰*⋻1036))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3567,"operation_count":15,"complexity_ratio":237.8,"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":1266,"base":11}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2958,"base":11},"right_expr":{"type":"numeric_atoms","value":1596,"base":11}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1095,"base":11}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":4755,"base":11}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":7187,"base":11},"right_expr":{"type":"numeric_atoms","value":1775,"base":11}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1334,"base":11}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1882,"base":11},"right_expr":{"type":"numeric_atoms","value":3041,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3528,"base":11},"right_expr":{"type":"numeric_atoms","value":1370,"base":11}}}}},"used_operators":["h92wMvzauj","1eCjFl0mb9","ncHt1X6cMc","WkeUrDK8WX","v1UQAVDJRr","abYXlopdE0","MGuIdZPyUC","6MpZysEj17","ocnLzx9CaJ","XhwjNDsVaA","1aApVXNlOP","mp94q5OcYM","jBncVCNhdl","Qy55tPpLXF"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","EBcxylXtPf","rGHVDoGpnC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻780","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1266","layer":4},{"info":"compute unary expreesion, input=1266, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2266","layer":3},{"info":"number node, value=2958","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=2958, right_input=1596, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2266, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=60082","layer":3},{"info":"number node, value=4755","layer":4},{"info":"compute unary expreesion, input=4755, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-9542","layer":3},{"info":"compute binary expreesion, left_input=60082, right_input=-9542, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"number node, value=7187","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=7187, right_input=1775, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-4939","layer":3},{"info":"number node, value=1334","layer":4},{"info":"compute unary expreesion, input=1334, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-4939, right_input=868, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-6","layer":2},{"info":"number node, value=1882","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=3041, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=3528","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=1370, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-755","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-755, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=196, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2167","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2167, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":11,"result_base":11,"text":"((⩰⋰*⋻A51)≁↽≥(⋰*⋻224A∥⊢⊲⋰*⋻1221)↸(⇘⋰*⋻906)⨿(⋰*⋻3633⋆⋳))⨑⩅≇((⋰*⋻5444⩇∃⫛⋰*⋻1374/(⨈⪑⋰*⋻1003))⩼⇪↪(⋰*⋻1461⋭≵⋰*⋻2315)≁↽≥(⋰*⋻2718⋥≓≎⋰*⋻1036))=⋰*⋻780","reverse_text":"⋰*⋻780=((⩰⋰*⋻A51)≁↽≥(⋰*⋻224A∥⊢⊲⋰*⋻1221)↸(⇘⋰*⋻906)⨿(⋰*⋻3633⋆⋳))⨑⩅≇((⋰*⋻5444⩇∃⫛⋰*⋻1374/(⨈⪑⋰*⋻1003))⩼⇪↪(⋰*⋻1461⋭≵⋰*⋻2315)≁↽≥(⋰*⋻2718⋥≓≎⋰*⋻1036))","cot":[{"info":"⩰⋰*⋻A51=⋰*⋻-1780","layer":3},{"info":"⋰*⋻224A∥⊢⊲⋰*⋻1221=NaN","layer":3},{"info":"⋰*⋻-1780≁↽≥NaN=NaN","layer":2},{"info":"⇘⋰*⋻906=⋰*⋻41160","layer":3},{"info":"⋰*⋻3633⋆⋳=⋰*⋻-7195","layer":3},{"info":"⋰*⋻41160⨿⋰*⋻-7195=⋰*⋻-270","layer":2},{"info":"NaN↸⋰*⋻-270=NaN","layer":1},{"info":"⋰*⋻5444⩇∃⫛⋰*⋻1374=⋰*⋻-3790","layer":3},{"info":"⨈⪑⋰*⋻1003=⋰*⋻71A","layer":3},{"info":"⋰*⋻-3790/⋰*⋻71A=⋰*⋻-6","layer":2},{"info":"⋰*⋻1461⋭≵⋰*⋻2315=⋰*⋻61","layer":3},{"info":"⋰*⋻2718⋥≓≎⋰*⋻1036=⋰*⋻-627","layer":3},{"info":"⋰*⋻61≁↽≥⋰*⋻-627=⋰*⋻169","layer":2},{"info":"⋰*⋻-6⩼⇪↪⋰*⋻169=⋰*⋻-16A0","layer":1},{"info":"NaN⨑⩅≇⋰*⋻-16A0=⋰*⋻780","layer":0}]}
{"id":241,"expression_no_base_symbol":"((($7050$⩘)∀⇚≩$4888$⫉⨲⊜$2218$)⊲⩕⊾(⇐($4577$⊹∫⫚$1054$)))≎⪠(($1097$⫁⪎$4448$)⊕∕($2464$≁↽≥$1568$))⪬($5395$⨚⇆$1813$⇣⩺⋵(⇜⊴$3498$))","expression":"(((⋰*⋻532A⩘)∀⇚≩⋰*⋻3744⫉⨲⊜⋰*⋻1737)⊲⩕⊾(⇐(⋰*⋻3491⊹∫⫚⋰*⋻879)))≎⪠((⋰*⋻908⫁⪎⋰*⋻3384)⊕∕(⋰*⋻1940≁↽≥⋰*⋻11A6))⪬(⋰*⋻4065⨚⇆⋰*⋻13A9⇣⩺⋵(⇜⊴⋰*⋻26A0))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":58270,"operation_count":14,"complexity_ratio":4162.142857142857,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":7050,"base":11}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4888,"base":11},"right_expr":{"type":"numeric_atoms","value":2218,"base":11}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4577,"base":11},"right_expr":{"type":"numeric_atoms","value":1054,"base":11}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1097,"base":11},"right_expr":{"type":"numeric_atoms","value":4448,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2464,"base":11},"right_expr":{"type":"numeric_atoms","value":1568,"base":11}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5395,"base":11},"right_expr":{"type":"numeric_atoms","value":1813,"base":11}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3498,"base":11}}}}},"used_operators":["aNhz54LH3e","DmTXOeWf9t","LRNGc0VcxI","wvHyciQT5X","WhqkvtTD3t","nmZMaaE0Q9","uWAJUKEvyW","Ez1Nq5fNfI","9cloC0Ngie","xRrnTEsQ6j","ncHt1X6cMc","F4yD0voBRQ","lwHaAYXP2r","XwDhCwWbUn"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","X99M06cbEe","9ICcGScMcE","dfKe02y8D2","eewbuw0ToL","zVYPLywUTj","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"⋰*⋻13770","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7050","layer":4},{"info":"compute unary expreesion, input=7050, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=4888","layer":4},{"info":"number node, value=2218","layer":4},{"info":"compute binary expreesion, left_input=4888, right_input=2218, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, 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=4577","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=4577, right_input=1054, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-140","layer":3},{"info":"compute unary expreesion, input=-140, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-188","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-188, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=1097","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=4448, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3351","layer":3},{"info":"number node, value=2464","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=1568, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=38740","layer":3},{"info":"compute binary expreesion, left_input=-3351, right_input=38740, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-3351","layer":2},{"info":"number node, value=5395","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=5395, right_input=1813, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3498","layer":4},{"info":"compute unary expreesion, input=3498, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-811814","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-811814, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-3351, right_input=-260, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻532A⩘)∀⇚≩⋰*⋻3744⫉⨲⊜⋰*⋻1737)⊲⩕⊾(⇐(⋰*⋻3491⊹∫⫚⋰*⋻879)))≎⪠((⋰*⋻908⫁⪎⋰*⋻3384)⊕∕(⋰*⋻1940≁↽≥⋰*⋻11A6))⪬(⋰*⋻4065⨚⇆⋰*⋻13A9⇣⩺⋵(⇜⊴⋰*⋻26A0))=⋰*⋻13770","reverse_text":"⋰*⋻13770=(((⋰*⋻532A⩘)∀⇚≩⋰*⋻3744⫉⨲⊜⋰*⋻1737)⊲⩕⊾(⇐(⋰*⋻3491⊹∫⫚⋰*⋻879)))≎⪠((⋰*⋻908⫁⪎⋰*⋻3384)⊕∕(⋰*⋻1940≁↽≥⋰*⋻11A6))⪬(⋰*⋻4065⨚⇆⋰*⋻13A9⇣⩺⋵(⇜⊴⋰*⋻26A0))","cot":[{"info":"⋰*⋻532A⩘=⋰*⋻61","layer":3},{"info":"⋰*⋻3744⫉⨲⊜⋰*⋻1737=⋰*⋻0","layer":3},{"info":"⋰*⋻61∀⇚≩⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻3491⊹∫⫚⋰*⋻879=⋰*⋻-118","layer":3},{"info":"⇐⋰*⋻-118=⋰*⋻-161","layer":2},{"info":"NaN⊲⩕⊾⋰*⋻-161=NaN","layer":1},{"info":"⋰*⋻908⫁⪎⋰*⋻3384=⋰*⋻-2577","layer":3},{"info":"⋰*⋻1940≁↽≥⋰*⋻11A6=⋰*⋻27119","layer":3},{"info":"⋰*⋻-2577⊕∕⋰*⋻27119=⋰*⋻-2577","layer":2},{"info":"⋰*⋻4065⨚⇆⋰*⋻13A9=NaN","layer":3},{"info":"⇜⊴⋰*⋻26A0=⋰*⋻-504A23","layer":3},{"info":"NaN⇣⩺⋵⋰*⋻-504A23=⋰*⋻-217","layer":2},{"info":"⋰*⋻-2577⪬⋰*⋻-217=⋰*⋻A22","layer":1},{"info":"NaN≎⪠⋰*⋻A22=⋰*⋻13770","layer":0}]}
{"id":242,"expression_no_base_symbol":"(($2730$⫌⩉⩟$1108$)≃$1012$∣$1060$)⩣⫁∢(∷≠$4455$)↳≱(⊑$3598$)⇀∌","expression":"((⋰*⋻2062⫌⩉⩟⋰*⋻918)≃⋰*⋻840∣⋰*⋻884)⩣⫁∢(∷≠⋰*⋻3390)↳≱(⊑⋰*⋻2781)⇀∌","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7549,"operation_count":8,"complexity_ratio":943.625,"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":2730,"base":11},"right_expr":{"type":"numeric_atoms","value":1108,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1012,"base":11},"right_expr":{"type":"numeric_atoms","value":1060,"base":11}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4455,"base":11}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":3598,"base":11}}}}},"used_operators":["2k53nXOpI5","JDUIKTTSIa","YbVcJGFEVW","XIIwhv8d0m","PPChnnnBFF","JwTKLfZU96","QiR2Oyf5Xj","IkUmn0D7oy"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","7j4O788W3g","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⋰*⋻A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2730","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=2730, right_input=1108, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1060, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1012","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=1012, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=80","layer":2},{"info":"number node, value=4455","layer":4},{"info":"compute unary expreesion, input=4455, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4455","layer":3},{"info":"number node, value=3598","layer":4},{"info":"compute unary expreesion, input=3598, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=4455, right_input=192, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=80, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2062⫌⩉⩟⋰*⋻918)≃⋰*⋻840∣⋰*⋻884)⩣⫁∢(∷≠⋰*⋻3390)↳≱(⊑⋰*⋻2781)⇀∌=⋰*⋻A3","reverse_text":"⋰*⋻A3=((⋰*⋻2062⫌⩉⩟⋰*⋻918)≃⋰*⋻840∣⋰*⋻884)⩣⫁∢(∷≠⋰*⋻3390)↳≱(⊑⋰*⋻2781)⇀∌","cot":[{"info":"⋰*⋻2062⫌⩉⩟⋰*⋻918=⋰*⋻-46","layer":3},{"info":"⋰*⋻840∣⋰*⋻884=⋰*⋻840","layer":3},{"info":"⋰*⋻-46≃⋰*⋻840=⋰*⋻73","layer":2},{"info":"∷≠⋰*⋻3390=⋰*⋻3390","layer":3},{"info":"⊑⋰*⋻2781=⋰*⋻165","layer":3},{"info":"⋰*⋻3390↳≱⋰*⋻165=⋰*⋻0","layer":2},{"info":"⋰*⋻73⩣⫁∢⋰*⋻0=⋰*⋻1","layer":1},{"info":"⋰*⋻1⇀∌=⋰*⋻A3","layer":0}]}
{"id":243,"expression_no_base_symbol":"⊀(∮(⊆⋠$8155$))⪮%⊝((↩$2365$)⪇≇⋚($2279$⩨$4169$))","expression":"⊀(∮(⊆⋠⋰*⋻6144))⪮%⊝((↩⋰*⋻1860)⪇≇⋚(⋰*⋻1792⩨⋰*⋻3150))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":595,"operation_count":7,"complexity_ratio":85.0,"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":8155,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2365,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2279,"base":11},"right_expr":{"type":"numeric_atoms","value":4169,"base":11}}}}},"used_operators":["oPMjh9089D","IWmyXbctLI","CqXKPLVYql","EBhcHTkKd8","3sJ7IOPOlU","jLgFTUHLKL","2DlMacCsIx"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8155","layer":4},{"info":"compute unary expreesion, input=8155, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238136","layer":2},{"info":"number node, value=2365","layer":4},{"info":"compute unary expreesion, input=2365, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16140","layer":3},{"info":"number node, value=2279","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=4169, 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=-16140, right_input=-3, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-238136, 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 = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊀(∮(⊆⋠⋰*⋻6144))⪮%⊝((↩⋰*⋻1860)⪇≇⋚(⋰*⋻1792⩨⋰*⋻3150))=NaN","reverse_text":"NaN=⊀(∮(⊆⋠⋰*⋻6144))⪮%⊝((↩⋰*⋻1860)⪇≇⋚(⋰*⋻1792⩨⋰*⋻3150))","cot":[{"info":"⊆⋠⋰*⋻6144=⋰*⋻0","layer":3},{"info":"∮⋰*⋻0=⋰*⋻-152A08","layer":2},{"info":"↩⋰*⋻1860=⋰*⋻-11143","layer":3},{"info":"⋰*⋻1792⩨⋰*⋻3150=⋰*⋻-3","layer":3},{"info":"⋰*⋻-11143⪇≇⋚⋰*⋻-3=⋰*⋻0","layer":2},{"info":"⋰*⋻-152A08⪮%⊝⋰*⋻0=NaN","layer":1},{"info":"⊀NaN=NaN","layer":0}]}
{"id":244,"expression_no_base_symbol":"($2505$≝⊿$2918$⪠⩆⊳)⊬⨰(($1088$↪⪝)⪔$1566$⇡⇂$2064$)≃(⊈(∂⩏⊆(⨑⩽⪐$6567$)))","expression":"(⋰*⋻1978≝⊿⋰*⋻2213⪠⩆⊳)⊬⨰((⋰*⋻8AA↪⪝)⪔⋰*⋻11A4⇡⇂⋰*⋻1607)≃(⊈(∂⩏⊆(⨑⩽⪐⋰*⋻4A30)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11367,"operation_count":10,"complexity_ratio":1136.7,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2505,"base":11},"right_expr":{"type":"numeric_atoms","value":2918,"base":11}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1088,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1566,"base":11},"right_expr":{"type":"numeric_atoms","value":2064,"base":11}}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6567,"base":11}}}}},"used_operators":["YbVcJGFEVW","s3Fd5m9Dh2","JLbD19bQDL","OKKcZfAt5B","GjBEYRfMaF","l07mrZUIn9","UMwdvZNt44","RHru8klgy8","8WDwsbhb0R","AF7qkfDlqP"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","12rbrZMWeM","xUOZtlo3hN","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋰*⋻19954","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2505","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=2505, right_input=2918, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8874","layer":3},{"info":"compute unary expreesion, input=-8874, 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=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=66566016","layer":3},{"info":"number node, value=1566","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=2064, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=66566016, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"number node, value=6567","layer":4},{"info":"compute unary expreesion, input=6567, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6294","layer":3},{"info":"compute unary expreesion, input=-6294, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=6778","layer":2},{"info":"compute unary expreesion, input=6778, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-6952","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6952, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=27768","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1978≝⊿⋰*⋻2213⪠⩆⊳)⊬⨰((⋰*⋻8AA↪⪝)⪔⋰*⋻11A4⇡⇂⋰*⋻1607)≃(⊈(∂⩏⊆(⨑⩽⪐⋰*⋻4A30)))=⋰*⋻19954","reverse_text":"⋰*⋻19954=(⋰*⋻1978≝⊿⋰*⋻2213⪠⩆⊳)⊬⨰((⋰*⋻8AA↪⪝)⪔⋰*⋻11A4⇡⇂⋰*⋻1607)≃(⊈(∂⩏⊆(⨑⩽⪐⋰*⋻4A30)))","cot":[{"info":"⋰*⋻1978≝⊿⋰*⋻2213=⋰*⋻-6738","layer":3},{"info":"⋰*⋻-6738⪠⩆⊳=⋰*⋻0","layer":2},{"info":"⋰*⋻8AA↪⪝=⋰*⋻34636040","layer":3},{"info":"⋰*⋻11A4⇡⇂⋰*⋻1607=NaN","layer":3},{"info":"⋰*⋻34636040⪔NaN=NaN","layer":2},{"info":"⋰*⋻0⊬⨰NaN=NaN","layer":1},{"info":"⨑⩽⪐⋰*⋻4A30=⋰*⋻-4802","layer":3},{"info":"∂⩏⊆⋰*⋻-4802=⋰*⋻5102","layer":2},{"info":"⊈⋰*⋻5102=⋰*⋻-5250","layer":1},{"info":"NaN≃⋰*⋻-5250=⋰*⋻19954","layer":0}]}
{"id":245,"expression_no_base_symbol":"((≪$1992$)⨓($1616$⊉≛↸$4783$)⫩⊇)+⇶⊼(↥≼⋛$3242$⪮%⊝$5368$)↳∿⪆($1635$↼⊘⨖$5336$⪍↜⋙($1219$⊭↱$1868$))","expression":"((≪⋰*⋻1551)⨓(⋰*⋻123A⊉≛↸⋰*⋻3659)⫩⊇)+⇶⊼(↥≼⋛⋰*⋻2488⪮%⊝⋰*⋻4040)↳∿⪆(⋰*⋻1257↼⊘⨖⋰*⋻4011⪍↜⋙(⋰*⋻A09⊭↱⋰*⋻1449))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6074,"operation_count":11,"complexity_ratio":552.1818181818181,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1992,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1616,"base":11},"right_expr":{"type":"numeric_atoms","value":4783,"base":11}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3242,"base":11},"right_expr":{"type":"numeric_atoms","value":5368,"base":11}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1635,"base":11},"right_expr":{"type":"numeric_atoms","value":5336,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1219,"base":11},"right_expr":{"type":"numeric_atoms","value":1868,"base":11}}}}},"used_operators":["TpPTUOHfaN","BjRHVeLaeN","3ViojmjbAp","Qtd6bqUJcN","DZ8iAZOCBD","Cw4SuJJGHO","x5lMkHmzsq","IWmyXbctLI","L05ObWFQCd","bPywburJMS","COABgblf1C"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":4},{"info":"compute unary expreesion, input=1992, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=1616","layer":4},{"info":"number node, value=4783","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=4783, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3232","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=3232, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3235","layer":2},{"info":"compute unary expreesion, input=-3235, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=3277","layer":1},{"info":"number node, value=3242","layer":4},{"info":"number node, value=5368","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=5368, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6800","layer":3},{"info":"compute unary expreesion, input=6800, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=1635","layer":4},{"info":"number node, value=5336","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=5336, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=10450","layer":3},{"info":"number node, value=1219","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=1868, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1303","layer":3},{"info":"compute binary expreesion, left_input=10450, right_input=1303, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=18294","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=18294, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3277, 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":11,"result_base":11,"text":"((≪⋰*⋻1551)⨓(⋰*⋻123A⊉≛↸⋰*⋻3659)⫩⊇)+⇶⊼(↥≼⋛⋰*⋻2488⪮%⊝⋰*⋻4040)↳∿⪆(⋰*⋻1257↼⊘⨖⋰*⋻4011⪍↜⋙(⋰*⋻A09⊭↱⋰*⋻1449))=NaN","reverse_text":"NaN=((≪⋰*⋻1551)⨓(⋰*⋻123A⊉≛↸⋰*⋻3659)⫩⊇)+⇶⊼(↥≼⋛⋰*⋻2488⪮%⊝⋰*⋻4040)↳∿⪆(⋰*⋻1257↼⊘⨖⋰*⋻4011⪍↜⋙(⋰*⋻A09⊭↱⋰*⋻1449))","cot":[{"info":"≪⋰*⋻1551=⋰*⋻760","layer":3},{"info":"⋰*⋻123A⊉≛↸⋰*⋻3659=⋰*⋻2479","layer":3},{"info":"⋰*⋻760⨓⋰*⋻2479=⋰*⋻-2481","layer":2},{"info":"⋰*⋻-2481⫩⊇=⋰*⋻250A","layer":1},{"info":"⋰*⋻2488⪮%⊝⋰*⋻4040=⋰*⋻5122","layer":3},{"info":"↥≼⋛⋰*⋻5122=⋰*⋻-A3","layer":2},{"info":"⋰*⋻1257↼⊘⨖⋰*⋻4011=⋰*⋻7940","layer":3},{"info":"⋰*⋻A09⊭↱⋰*⋻1449=⋰*⋻A85","layer":3},{"info":"⋰*⋻7940⪍↜⋙⋰*⋻A85=⋰*⋻12821","layer":2},{"info":"⋰*⋻-A3↳∿⪆⋰*⋻12821=NaN","layer":1},{"info":"⋰*⋻250A+⇶⊼NaN=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"$3373$↞⋁$1375$⫉⨲⊜($3289$⩨$3557$)∣(∂$6894$↳≱$1405$)≠≀((($1015$⫉⨲⊜$3411$)⊫∞)⨽($4255$⊋≦⊧$2432$)⨽∌($1100$⩣⫁∢$1967$))","expression":"⋰*⋻2597↞⋁⋰*⋻1040⫉⨲⊜(⋰*⋻2520⩨⋰*⋻2744)∣(∂⋰*⋻51A8↳≱⋰*⋻1068)≠≀(((⋰*⋻843⫉⨲⊜⋰*⋻2621)⊫∞)⨽(⋰*⋻3219⊋≦⊧⋰*⋻1911)⨽∌(⋰*⋻910⩣⫁∢⋰*⋻1529))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24009,"operation_count":13,"complexity_ratio":1846.8461538461538,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3373,"base":11},"right_expr":{"type":"numeric_atoms","value":1375,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3289,"base":11},"right_expr":{"type":"numeric_atoms","value":3557,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6894,"base":11},"right_expr":{"type":"numeric_atoms","value":1405,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1015,"base":11},"right_expr":{"type":"numeric_atoms","value":3411,"base":11}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4255,"base":11},"right_expr":{"type":"numeric_atoms","value":2432,"base":11}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1100,"base":11},"right_expr":{"type":"numeric_atoms","value":1967,"base":11}}}}},"used_operators":["IwW236VD4Y","PPChnnnBFF","WhqkvtTD3t","RqrPlJkxDo","2DlMacCsIx","Uaa54Peajs","JwTKLfZU96","8HhzD0ZcuI","pABnYW3G3E","9samAPKr6k","oRDoc9rAEX","JDUIKTTSIa"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eewbuw0ToL","zVYPLywUTj","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⋰*⋻-1418","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3373","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=3373, right_input=1375, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3289","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=3289, right_input=3557, 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 = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-113","layer":2},{"info":"number node, value=6894","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=6894, right_input=1405, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 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=-113, right_input=-264, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1070","layer":1},{"info":"number node, value=1015","layer":4},{"info":"number node, value=3411","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=3411, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"number node, value=4255","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=4255, right_input=2432, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4624","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1967, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2039","layer":3},{"info":"compute binary expreesion, left_input=-4624, right_input=-2039, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1314","layer":1},{"info":"compute binary expreesion, left_input=1070, right_input=1314, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1834","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻2597↞⋁⋰*⋻1040⫉⨲⊜(⋰*⋻2520⩨⋰*⋻2744)∣(∂⋰*⋻51A8↳≱⋰*⋻1068)≠≀(((⋰*⋻843⫉⨲⊜⋰*⋻2621)⊫∞)⨽(⋰*⋻3219⊋≦⊧⋰*⋻1911)⨽∌(⋰*⋻910⩣⫁∢⋰*⋻1529))=⋰*⋻-1418","reverse_text":"⋰*⋻-1418=⋰*⋻2597↞⋁⋰*⋻1040⫉⨲⊜(⋰*⋻2520⩨⋰*⋻2744)∣(∂⋰*⋻51A8↳≱⋰*⋻1068)≠≀(((⋰*⋻843⫉⨲⊜⋰*⋻2621)⊫∞)⨽(⋰*⋻3219⊋≦⊧⋰*⋻1911)⨽∌(⋰*⋻910⩣⫁∢⋰*⋻1529))","cot":[{"info":"⋰*⋻2597↞⋁⋰*⋻1040=NaN","layer":3},{"info":"⋰*⋻2520⩨⋰*⋻2744=⋰*⋻-3","layer":3},{"info":"NaN⫉⨲⊜⋰*⋻-3=⋰*⋻-A3","layer":2},{"info":"⋰*⋻51A8↳≱⋰*⋻1068=⋰*⋻0","layer":3},{"info":"∂⋰*⋻0=⋰*⋻-220","layer":2},{"info":"⋰*⋻-A3∣⋰*⋻-220=⋰*⋻893","layer":1},{"info":"⋰*⋻843⫉⨲⊜⋰*⋻2621=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊫∞=⋰*⋻0","layer":2},{"info":"⋰*⋻3219⊋≦⊧⋰*⋻1911=⋰*⋻-3524","layer":3},{"info":"⋰*⋻910⩣⫁∢⋰*⋻1529=⋰*⋻-1594","layer":3},{"info":"⋰*⋻-3524⨽∌⋰*⋻-1594=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨽⋰*⋻0=⋰*⋻A95","layer":1},{"info":"⋰*⋻893≠≀⋰*⋻A95=⋰*⋻-1418","layer":0}]}
{"id":247,"expression_no_base_symbol":"↨⩢⫨(((∮$5040$)↪⪝)⫩)","expression":"↨⩢⫨(((∮⋰*⋻3872)↪⪝)⫩)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":549,"operation_count":4,"complexity_ratio":137.25,"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":5040,"base":11}}}}},"used_operators":["Z5CJsN7DuW","6aG7x05OhS","l07mrZUIn9","CqXKPLVYql"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","dWAJyo7jo9","9HNa5Wba9A","2DDjHMKMc0","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5040","layer":4},{"info":"compute unary expreesion, input=5040, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=4099194","layer":2},{"info":"compute unary expreesion, input=4099194, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":11,"result_base":11,"text":"↨⩢⫨(((∮⋰*⋻3872)↪⪝)⫩)=⋰*⋻0","reverse_text":"⋰*⋻0=↨⩢⫨(((∮⋰*⋻3872)↪⪝)⫩)","cot":[{"info":"∮⋰*⋻3872=⋰*⋻61","layer":3},{"info":"⋰*⋻61↪⪝=⋰*⋻234A870","layer":2},{"info":"⋰*⋻234A870⫩=NaN","layer":1},{"info":"↨⩢⫨NaN=⋰*⋻0","layer":0}]}
{"id":248,"expression_no_base_symbol":"((≤/$1044$⪃⊛⇣$1099$)⋅⇍((⨮↦↱$4494$)↙$4462$≃$1152$))⫘(⇨($4575$∕⩚$3996$)⨸($2776$∖$1221$))","expression":"((≤/⋰*⋻86A⪃⊛⇣⋰*⋻90A)⋅⇍((⨮↦↱⋰*⋻3416)↙⋰*⋻3397≃⋰*⋻958))⫘(⇨(⋰*⋻348A∕⩚⋰*⋻3003)⨸(⋰*⋻20A4∖⋰*⋻A10))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14611,"operation_count":11,"complexity_ratio":1328.2727272727273,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1044,"base":11},"right_expr":{"type":"numeric_atoms","value":1099,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4494,"base":11}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4462,"base":11},"right_expr":{"type":"numeric_atoms","value":1152,"base":11}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4575,"base":11},"right_expr":{"type":"numeric_atoms","value":3996,"base":11}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2776,"base":11},"right_expr":{"type":"numeric_atoms","value":1221,"base":11}}}}},"used_operators":["48vC8HMD2b","AdZkA7nFnk","eLAdDNolq6","rrgAzCduG9","yyfyN0ffXY","sYcpBQ0cFf","YbVcJGFEVW","G9tJMlZ94a","KmoU8R5UQR","z9ffQ9n5Zr","tXD093vOjl"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","tmPS8pqC7x","DpFCA1CohY","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","k8jYdgA6NY","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⋰*⋻138575","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1099, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-750","layer":2},{"info":"number node, value=4494","layer":4},{"info":"compute unary expreesion, input=4494, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-48052026","layer":3},{"info":"number node, value=4462","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=1152, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-17888","layer":3},{"info":"compute binary expreesion, left_input=-48052026, right_input=-17888, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-48052026","layer":2},{"info":"compute binary expreesion, left_input=-750, right_input=-48052026, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=177","layer":1},{"info":"number node, value=4575","layer":4},{"info":"number node, value=3996","layer":4},{"info":"compute binary expreesion, left_input=4575, right_input=3996, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4578","layer":3},{"info":"number node, value=2776","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=1221, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4578, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=556666","layer":2},{"info":"compute unary expreesion, input=556666, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=216309","layer":0}],"base":11,"result_base":11,"text":"((≤/⋰*⋻86A⪃⊛⇣⋰*⋻90A)⋅⇍((⨮↦↱⋰*⋻3416)↙⋰*⋻3397≃⋰*⋻958))⫘(⇨(⋰*⋻348A∕⩚⋰*⋻3003)⨸(⋰*⋻20A4∖⋰*⋻A10))=⋰*⋻138575","reverse_text":"⋰*⋻138575=((≤/⋰*⋻86A⪃⊛⇣⋰*⋻90A)⋅⇍((⨮↦↱⋰*⋻3416)↙⋰*⋻3397≃⋰*⋻958))⫘(⇨(⋰*⋻348A∕⩚⋰*⋻3003)⨸(⋰*⋻20A4∖⋰*⋻A10))","cot":[{"info":"⋰*⋻86A⪃⊛⇣⋰*⋻90A=⋰*⋻A22","layer":3},{"info":"≤/⋰*⋻A22=⋰*⋻-622","layer":2},{"info":"⨮↦↱⋰*⋻3416=⋰*⋻-25140220","layer":3},{"info":"⋰*⋻3397≃⋰*⋻958=⋰*⋻-12492","layer":3},{"info":"⋰*⋻-25140220↙⋰*⋻-12492=⋰*⋻-25140220","layer":2},{"info":"⋰*⋻-622⋅⇍⋰*⋻-25140220=⋰*⋻151","layer":1},{"info":"⋰*⋻348A∕⩚⋰*⋻3003=⋰*⋻-3492","layer":3},{"info":"⋰*⋻20A4∖⋰*⋻A10=⋰*⋻0","layer":3},{"info":"⋰*⋻-3492⨸⋰*⋻0=⋰*⋻350260","layer":2},{"info":"⇨⋰*⋻350260=⋰*⋻0","layer":1},{"info":"⋰*⋻151⫘⋰*⋻0=⋰*⋻138575","layer":0}]}
{"id":249,"expression_no_base_symbol":"(⋎⨆($3028$⇤$3341$)∴($1189$⨼⩣$7610$))⊋(($3643$⪪$3542$⊦⊿)∀⇚≩($1032$∣$2550$⇉⇉))","expression":"(⋎⨆(⋰*⋻2303⇤⋰*⋻2568)∴(⋰*⋻991⨼⩣⋰*⋻5799))⊋((⋰*⋻2812⪪⋰*⋻2730⊦⊿)∀⇚≩(⋰*⋻859∣⋰*⋻1A09⇉⇉))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11800,"operation_count":10,"complexity_ratio":1180.0,"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":3028,"base":11},"right_expr":{"type":"numeric_atoms","value":3341,"base":11}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1189,"base":11},"right_expr":{"type":"numeric_atoms","value":7610,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3643,"base":11},"right_expr":{"type":"numeric_atoms","value":3542,"base":11}}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1032,"base":11},"right_expr":{"type":"numeric_atoms","value":2550,"base":11}}}}},"used_operators":["W4tP9CfskL","E64sFOc4tB","hrf7POJlIJ","YSKBFp38Pu","JxwMv5le6e","LRNGc0VcxI","14qkJME0vr","xD69zh8xqp","diKm42VcIt","PPChnnnBFF"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3028","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=3028, right_input=3341, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-28997","layer":3},{"info":"number node, value=1189","layer":4},{"info":"number node, value=7610","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=7610, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-28997, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-56346","layer":2},{"info":"compute unary expreesion, input=-56346, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":1},{"info":"number node, value=3643","layer":4},{"info":"number node, value=3542","layer":4},{"info":"compute binary expreesion, left_input=3643, right_input=3542, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-546182","layer":3},{"info":"compute unary expreesion, input=-546182, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=1638467","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=2550, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1032","layer":3},{"info":"compute unary expreesion, input=1032, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-55432","layer":2},{"info":"compute binary expreesion, left_input=1638467, right_input=-55432, 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=8320752, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋎⨆(⋰*⋻2303⇤⋰*⋻2568)∴(⋰*⋻991⨼⩣⋰*⋻5799))⊋((⋰*⋻2812⪪⋰*⋻2730⊦⊿)∀⇚≩(⋰*⋻859∣⋰*⋻1A09⇉⇉))=NaN","reverse_text":"NaN=(⋎⨆(⋰*⋻2303⇤⋰*⋻2568)∴(⋰*⋻991⨼⩣⋰*⋻5799))⊋((⋰*⋻2812⪪⋰*⋻2730⊦⊿)∀⇚≩(⋰*⋻859∣⋰*⋻1A09⇉⇉))","cot":[{"info":"⋰*⋻2303⇤⋰*⋻2568=⋰*⋻-1A871","layer":3},{"info":"⋰*⋻991⨼⩣⋰*⋻5799=NaN","layer":3},{"info":"⋰*⋻-1A871∴NaN=⋰*⋻-39374","layer":2},{"info":"⋎⨆⋰*⋻-39374=⋰*⋻4773560","layer":1},{"info":"⋰*⋻2812⪪⋰*⋻2730=⋰*⋻-34339A","layer":3},{"info":"⋰*⋻-34339A⊦⊿=⋰*⋻A1A006","layer":2},{"info":"⋰*⋻859∣⋰*⋻1A09=⋰*⋻859","layer":3},{"info":"⋰*⋻859⇉⇉=⋰*⋻-38713","layer":2},{"info":"⋰*⋻A1A006∀⇚≩⋰*⋻-38713=NaN","layer":1},{"info":"⋰*⋻4773560⊋NaN=NaN","layer":0}]}
{"id":250,"expression_no_base_symbol":"⊄⩳↩($1055$↸$5600$⩨$4406$⇄$3851$)⪟⇏(($4034$*$4645$)⇮⋭($2399$⪒$1820$))","expression":"⊄⩳↩(⋰*⋻87A↸⋰*⋻4231⩨⋰*⋻3346⇄⋰*⋻2991)⪟⇏((⋰*⋻3038*⋰*⋻3543)⇮⋭(⋰*⋻1891⪒⋰*⋻1405))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5192,"operation_count":8,"complexity_ratio":649.0,"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":1055,"base":11},"right_expr":{"type":"numeric_atoms","value":5600,"base":11}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4406,"base":11},"right_expr":{"type":"numeric_atoms","value":3851,"base":11}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4034,"base":11},"right_expr":{"type":"numeric_atoms","value":4645,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2399,"base":11},"right_expr":{"type":"numeric_atoms","value":1820,"base":11}}}}},"used_operators":["8w2t5hMYqp","GODebY97qR","2DlMacCsIx","1eCjFl0mb9","3EYGwJThht","vkpjKywKVM","9HNa5Wba9A","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"number node, value=5600","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=5600, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1055","layer":3},{"info":"number node, value=4406","layer":4},{"info":"number node, value=3851","layer":4},{"info":"compute binary expreesion, left_input=4406, right_input=3851, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1055, 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=4034","layer":4},{"info":"number node, value=4645","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=4645, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18737930","layer":3},{"info":"number node, value=2399","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=1820, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4219","layer":3},{"info":"compute binary expreesion, left_input=18737930, right_input=-4219, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩(⋰*⋻87A↸⋰*⋻4231⩨⋰*⋻3346⇄⋰*⋻2991)⪟⇏((⋰*⋻3038*⋰*⋻3543)⇮⋭(⋰*⋻1891⪒⋰*⋻1405))=⋰*⋻0","reverse_text":"⋰*⋻0=⊄⩳↩(⋰*⋻87A↸⋰*⋻4231⩨⋰*⋻3346⇄⋰*⋻2991)⪟⇏((⋰*⋻3038*⋰*⋻3543)⇮⋭(⋰*⋻1891⪒⋰*⋻1405))","cot":[{"info":"⋰*⋻87A↸⋰*⋻4231=⋰*⋻87A","layer":3},{"info":"⋰*⋻3346⇄⋰*⋻2991=⋰*⋻0","layer":3},{"info":"⋰*⋻87A⩨⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻3038*⋰*⋻3543=⋰*⋻A6390A2","layer":3},{"info":"⋰*⋻1891⪒⋰*⋻1405=⋰*⋻-3196","layer":3},{"info":"⋰*⋻A6390A2⇮⋭⋰*⋻-3196=⋰*⋻61","layer":2},{"info":"⋰*⋻0⪟⇏⋰*⋻61=⋰*⋻0","layer":1},{"info":"⊄⩳↩⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":251,"expression_no_base_symbol":"(⊥(($3436$≬⇓$1600$)∧))⨻⩈⩔($4819$≁$2798$⩺⪪$4397$⇴∐$6644$)∼(⨦⪝(∥⊫$5526$))","expression":"(⊥((⋰*⋻2644≬⇓⋰*⋻1225)∧))⨻⩈⩔(⋰*⋻3691≁⋰*⋻2114⩺⪪⋰*⋻3338⇴∐⋰*⋻4AA0)∼(⨦⪝(∥⊫⋰*⋻4174))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2667,"operation_count":10,"complexity_ratio":266.7,"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":3436,"base":11},"right_expr":{"type":"numeric_atoms","value":1600,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4819,"base":11},"right_expr":{"type":"numeric_atoms","value":2798,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4397,"base":11},"right_expr":{"type":"numeric_atoms","value":6644,"base":11}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5526,"base":11}}}}},"used_operators":["nEsXyWgiOK","Q3PJZHRvZv","z63VuFQld9","jWTQ2TZYIH","DyGG3AbaNP","uvdQJvN4PV","8N2wDY1A35","HnzytWxmAO","SUjycxNXIR","P8v4zCKN1o"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","fu6greOZ01","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3436","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=3436, right_input=1600, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=44","layer":2},{"info":"compute unary expreesion, input=44, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-47","layer":1},{"info":"number node, value=4819","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=4819, right_input=2798, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=53951","layer":3},{"info":"number node, value=4397","layer":4},{"info":"number node, value=6644","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=6644, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=53951, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=5526","layer":4},{"info":"compute unary expreesion, input=5526, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6394","layer":3},{"info":"compute unary expreesion, input=6394, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1884, 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=-47, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊥((⋰*⋻2644≬⇓⋰*⋻1225)∧))⨻⩈⩔(⋰*⋻3691≁⋰*⋻2114⩺⪪⋰*⋻3338⇴∐⋰*⋻4AA0)∼(⨦⪝(∥⊫⋰*⋻4174))=NaN","reverse_text":"NaN=(⊥((⋰*⋻2644≬⇓⋰*⋻1225)∧))⨻⩈⩔(⋰*⋻3691≁⋰*⋻2114⩺⪪⋰*⋻3338⇴∐⋰*⋻4AA0)∼(⨦⪝(∥⊫⋰*⋻4174))","cot":[{"info":"⋰*⋻2644≬⇓⋰*⋻1225=⋰*⋻-20","layer":3},{"info":"⋰*⋻-20∧=⋰*⋻40","layer":2},{"info":"⊥⋰*⋻40=⋰*⋻-43","layer":1},{"info":"⋰*⋻3691≁⋰*⋻2114=⋰*⋻37597","layer":3},{"info":"⋰*⋻3338⇴∐⋰*⋻4AA0=NaN","layer":3},{"info":"⋰*⋻37597⩺⪪NaN=NaN","layer":2},{"info":"∥⊫⋰*⋻4174=⋰*⋻4893","layer":3},{"info":"⨦⪝⋰*⋻4893=⋰*⋻-1463","layer":2},{"info":"NaN∼⋰*⋻-1463=NaN","layer":1},{"info":"⋰*⋻-43⨻⩈⩔NaN=NaN","layer":0}]}
{"id":252,"expression_no_base_symbol":"(⇖($3492$⪃⊛⇣$1241$∲⫓$1071$⨑⩅≇$1305$))⫁⪎(⊊≼∋($5981$⫸⇳$2375$))≦↸($1114$⨔⇊$4176$⫭)","expression":"(⇖(⋰*⋻2695⪃⊛⇣⋰*⋻A29∲⫓⋰*⋻894⨑⩅≇⋰*⋻A87))⫁⪎(⊊≼∋(⋰*⋻4548⫸⇳⋰*⋻186A))≦↸(⋰*⋻923⨔⇊⋰*⋻3157⫭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1983,"operation_count":10,"complexity_ratio":198.3,"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":3492,"base":11},"right_expr":{"type":"numeric_atoms","value":1241,"base":11}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":1305,"base":11}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5981,"base":11},"right_expr":{"type":"numeric_atoms","value":2375,"base":11}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1114,"base":11},"right_expr":{"type":"numeric_atoms","value":4176,"base":11}}}}},"used_operators":["xRrnTEsQ6j","tfWHHpNKUN","i8ToyICDmI","rrgAzCduG9","h92wMvzauj","RygbFNSyEJ","FWz7pXsQhA","gx7XJ7hdpj","t4WUHVGj7f","JclMnS0uGI"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","B5M0gjZbta","jCPkEVoL5K","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⋰*⋻17883","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3492","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=1241, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1305, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3213","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-3213, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=5981","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=5981, right_input=2375, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=0","layer":2},{"info":"number node, value=1114","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=4176, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4176","layer":3},{"info":"compute unary expreesion, input=4176, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=12769","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12769, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-24857","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-24857, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=25017","layer":0}],"base":11,"result_base":11,"text":"(⇖(⋰*⋻2695⪃⊛⇣⋰*⋻A29∲⫓⋰*⋻894⨑⩅≇⋰*⋻A87))⫁⪎(⊊≼∋(⋰*⋻4548⫸⇳⋰*⋻186A))≦↸(⋰*⋻923⨔⇊⋰*⋻3157⫭)=⋰*⋻17883","reverse_text":"⋰*⋻17883=(⇖(⋰*⋻2695⪃⊛⇣⋰*⋻A29∲⫓⋰*⋻894⨑⩅≇⋰*⋻A87))⫁⪎(⊊≼∋(⋰*⋻4548⫸⇳⋰*⋻186A))≦↸(⋰*⋻923⨔⇊⋰*⋻3157⫭)","cot":[{"info":"⋰*⋻2695⪃⊛⇣⋰*⋻A29=⋰*⋻A22","layer":3},{"info":"⋰*⋻894⨑⩅≇⋰*⋻A87=⋰*⋻-2461","layer":3},{"info":"⋰*⋻A22∲⫓⋰*⋻-2461=⋰*⋻A22","layer":2},{"info":"⇖⋰*⋻A22=⋰*⋻136","layer":1},{"info":"⋰*⋻4548⫸⇳⋰*⋻186A=⋰*⋻0","layer":3},{"info":"⊊≼∋⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻923⨔⇊⋰*⋻3157=⋰*⋻3157","layer":3},{"info":"⋰*⋻3157⫭=⋰*⋻9659","layer":2},{"info":"⋰*⋻0≦↸⋰*⋻9659=⋰*⋻-17748","layer":1},{"info":"⋰*⋻136⫁⪎⋰*⋻-17748=⋰*⋻17883","layer":0}]}
{"id":253,"expression_no_base_symbol":"((⇜($2508$⫳≱↱$4658$))⨌↪)⇣⩺⋵(($3220$⪎⩰)⫩)↤⩊(⨑⩽⪐($3625$⪁$2434$))","expression":"((⇜(⋰*⋻1980⫳≱↱⋰*⋻3555))⨌↪)⇣⩺⋵((⋰*⋻2468⪎⩰)⫩)↤⩊(⨑⩽⪐(⋰*⋻27A6⪁⋰*⋻1913))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":386561,"operation_count":9,"complexity_ratio":42951.22222222222,"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":2508,"base":11},"right_expr":{"type":"numeric_atoms","value":4658,"base":11}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":3220,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3625,"base":11},"right_expr":{"type":"numeric_atoms","value":2434,"base":11}}}}},"used_operators":["F4yD0voBRQ","cWQsF5MvuD","lFBm8KRb8F","ZvLB05nZmT","13rbtpv6ld","6aG7x05OhS","2ufhKmSs5H","AF7qkfDlqP","I7sXao9hZE"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⋰*⋻-217","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2508","layer":4},{"info":"number node, value=4658","layer":4},{"info":"compute binary expreesion, left_input=2508, right_input=4658, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute unary expreesion, input=232, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"number node, value=3220","layer":4},{"info":"compute unary expreesion, input=3220, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute unary expreesion, input=-34, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=3625","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=2434, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', 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=nan, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":11,"result_base":11,"text":"((⇜(⋰*⋻1980⫳≱↱⋰*⋻3555))⨌↪)⇣⩺⋵((⋰*⋻2468⪎⩰)⫩)↤⩊(⨑⩽⪐(⋰*⋻27A6⪁⋰*⋻1913))=⋰*⋻-217","reverse_text":"⋰*⋻-217=((⇜(⋰*⋻1980⫳≱↱⋰*⋻3555))⨌↪)⇣⩺⋵((⋰*⋻2468⪎⩰)⫩)↤⩊(⨑⩽⪐(⋰*⋻27A6⪁⋰*⋻1913))","cot":[{"info":"⋰*⋻1980⫳≱↱⋰*⋻3555=⋰*⋻-176","layer":3},{"info":"⇜⋰*⋻-176=⋰*⋻1A1","layer":2},{"info":"⋰*⋻1A1⨌↪=⋰*⋻-3A7","layer":1},{"info":"⋰*⋻2468⪎⩰=⋰*⋻-31","layer":3},{"info":"⋰*⋻-31⫩=NaN","layer":2},{"info":"⋰*⋻27A6⪁⋰*⋻1913=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"NaN↤⩊NaN=NaN","layer":1},{"info":"⋰*⋻-3A7⇣⩺⋵NaN=⋰*⋻-217","layer":0}]}
{"id":254,"expression_no_base_symbol":"(($1737$⨭⪣$1442$⇮⋭$2558$⇮⋭$4383$)∋($1076$⪕$3908$)↹⊜($2410$≳⇉$1900$))↞⋁((⪸$3273$)⫢⨠(↣≠⋷$1047$)∽(≤/(⋗⩴⪓$1148$)))","expression":"((⋰*⋻133A⨭⪣⋰*⋻10A1⇮⋭⋰*⋻1A16⇮⋭⋰*⋻3325)∋(⋰*⋻899⪕⋰*⋻2A33)↹⊜(⋰*⋻18A1≳⇉⋰*⋻1478))↞⋁((⪸⋰*⋻2506)⫢⨠(↣≠⋷⋰*⋻872)∽(≤/(⋗⩴⪓⋰*⋻954)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":49123111,"operation_count":14,"complexity_ratio":3508793.6428571427,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1737,"base":11},"right_expr":{"type":"numeric_atoms","value":1442,"base":11}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2558,"base":11},"right_expr":{"type":"numeric_atoms","value":4383,"base":11}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1076,"base":11},"right_expr":{"type":"numeric_atoms","value":3908,"base":11}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2410,"base":11},"right_expr":{"type":"numeric_atoms","value":1900,"base":11}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":3273,"base":11}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1047,"base":11}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1148,"base":11}}}}},"used_operators":["RqrPlJkxDo","ukq6epAj5P","vkpjKywKVM","kn8WO9XteQ","9bazX3JMtO","umQnsF7QlU","V0kx6qeWkN","y4ImoPnbV5","xlXykHWxX1","86A5ENbKR9","Asc51vEJeQ","eLAdDNolq6","nOKPl9n5zu"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1737","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=1442, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=458","layer":3},{"info":"number node, value=2558","layer":4},{"info":"number node, value=4383","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=4383, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=458, right_input=-473, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=3908","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=3908, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=2410","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=1900, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54892","layer":1},{"info":"number node, value=3273","layer":4},{"info":"compute unary expreesion, input=3273, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-55432","layer":3},{"info":"number node, value=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-55432, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-235","layer":3},{"info":"compute unary expreesion, input=-235, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=719","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=719, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-54892, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻133A⨭⪣⋰*⋻10A1⇮⋭⋰*⋻1A16⇮⋭⋰*⋻3325)∋(⋰*⋻899⪕⋰*⋻2A33)↹⊜(⋰*⋻18A1≳⇉⋰*⋻1478))↞⋁((⪸⋰*⋻2506)⫢⨠(↣≠⋷⋰*⋻872)∽(≤/(⋗⩴⪓⋰*⋻954)))=NaN","reverse_text":"NaN=((⋰*⋻133A⨭⪣⋰*⋻10A1⇮⋭⋰*⋻1A16⇮⋭⋰*⋻3325)∋(⋰*⋻899⪕⋰*⋻2A33)↹⊜(⋰*⋻18A1≳⇉⋰*⋻1478))↞⋁((⪸⋰*⋻2506)⫢⨠(↣≠⋷⋰*⋻872)∽(≤/(⋗⩴⪓⋰*⋻954)))","cot":[{"info":"⋰*⋻133A⨭⪣⋰*⋻10A1=⋰*⋻387","layer":3},{"info":"⋰*⋻1A16⇮⋭⋰*⋻3325=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻387⇮⋭⋰*⋻-3A0=⋰*⋻61","layer":2},{"info":"⋰*⋻899⪕⋰*⋻2A33=⋰*⋻-50","layer":3},{"info":"⋰*⋻18A1≳⇉⋰*⋻1478=NaN","layer":3},{"info":"⋰*⋻-50↹⊜NaN=NaN","layer":2},{"info":"⋰*⋻61∋NaN=⋰*⋻-38272","layer":1},{"info":"⪸⋰*⋻2506=⋰*⋻-38713","layer":3},{"info":"↣≠⋷⋰*⋻872=NaN","layer":3},{"info":"⋰*⋻-38713⫢⨠NaN=NaN","layer":2},{"info":"⋗⩴⪓⋰*⋻954=⋰*⋻-1A4","layer":3},{"info":"≤/⋰*⋻-1A4=⋰*⋻5A4","layer":2},{"info":"NaN∽⋰*⋻5A4=NaN","layer":1},{"info":"⋰*⋻-38272↞⋁NaN=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"⩷⨜⫀($1094$⪝$1029$⨸($2248$⇪⋭)∇⊂⋱((+⊝⨔$1387$)⨎$1918$⨪↰⇹$6502$))","expression":"⩷⨜⫀(⋰*⋻905⪝⋰*⋻856⨸(⋰*⋻1764⇪⋭)∇⊂⋱((+⊝⨔⋰*⋻1051)⨎⋰*⋻1494⨪↰⇹⋰*⋻4981))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2903,"operation_count":8,"complexity_ratio":362.875,"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":1094,"base":11},"right_expr":{"type":"numeric_atoms","value":1029,"base":11}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":2248,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1387,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1918,"base":11},"right_expr":{"type":"numeric_atoms","value":6502,"base":11}}}}},"used_operators":["CDi0ktkjQ4","nhYeJWJD5X","KmoU8R5UQR","wicAB68Tmb","Z8Yg6dlDSp","rJVOvQCfKK","DhbWaqg5eL","tmPS8pqC7x"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK"],"result":"⋰*⋻-562","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1029, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=373","layer":3},{"info":"number node, value=2248","layer":4},{"info":"compute unary expreesion, input=2248, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=373, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=746","layer":2},{"info":"number node, value=1387","layer":4},{"info":"compute unary expreesion, input=1387, 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=1918","layer":4},{"info":"number node, value=6502","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=6502, 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=1918","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1918, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1918","layer":2},{"info":"compute binary expreesion, left_input=746, right_input=1918, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=946","layer":1},{"info":"compute unary expreesion, input=946, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-673","layer":0}],"base":11,"result_base":11,"text":"⩷⨜⫀(⋰*⋻905⪝⋰*⋻856⨸(⋰*⋻1764⇪⋭)∇⊂⋱((+⊝⨔⋰*⋻1051)⨎⋰*⋻1494⨪↰⇹⋰*⋻4981))=⋰*⋻-562","reverse_text":"⋰*⋻-562=⩷⨜⫀(⋰*⋻905⪝⋰*⋻856⨸(⋰*⋻1764⇪⋭)∇⊂⋱((+⊝⨔⋰*⋻1051)⨎⋰*⋻1494⨪↰⇹⋰*⋻4981))","cot":[{"info":"⋰*⋻905⪝⋰*⋻856=⋰*⋻30A","layer":3},{"info":"⋰*⋻1764⇪⋭=NaN","layer":3},{"info":"⋰*⋻30A⨸NaN=⋰*⋻619","layer":2},{"info":"+⊝⨔⋰*⋻1051=⋰*⋻1164","layer":3},{"info":"⋰*⋻1494⨪↰⇹⋰*⋻4981=⋰*⋻1494","layer":3},{"info":"⋰*⋻1164⨎⋰*⋻1494=⋰*⋻1494","layer":2},{"info":"⋰*⋻619∇⊂⋱⋰*⋻1494=⋰*⋻790","layer":1},{"info":"⩷⨜⫀⋰*⋻790=⋰*⋻-562","layer":0}]}
{"id":256,"expression_no_base_symbol":"((($1505$⊾⪯⋞$1024$)⪔(⨑⩽⪐$9225$))⨫⇇↔((⇤←$2401$)⪭($2492$⊹∫⫚$5092$)))⫻⋑⊟","expression":"(((⋰*⋻1149⊾⪯⋞⋰*⋻851)⪔(⨑⩽⪐⋰*⋻6A27))⨫⇇↔((⇤←⋰*⋻1893)⪭(⋰*⋻1966⊹∫⫚⋰*⋻390A)))⫻⋑⊟","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9251,"operation_count":8,"complexity_ratio":1156.375,"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":1505,"base":11},"right_expr":{"type":"numeric_atoms","value":1024,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":9225,"base":11}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2401,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2492,"base":11},"right_expr":{"type":"numeric_atoms","value":5092,"base":11}}}}},"used_operators":["o575Zjdmzy","LXhwmt4mBO","GjBEYRfMaF","HK0tfVPux8","AF7qkfDlqP","j9kHMeSvPp","jfAgQ2OQeM","uWAJUKEvyW"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","COABgblf1C","xUOZtlo3hN","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⋰*⋻2839","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1505","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=1024, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1622","layer":3},{"info":"number node, value=9225","layer":4},{"info":"compute unary expreesion, input=9225, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8952","layer":3},{"info":"compute binary expreesion, left_input=1622, right_input=-8952, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=2401","layer":4},{"info":"compute unary expreesion, input=2401, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-10639","layer":3},{"info":"number node, value=2492","layer":4},{"info":"number node, value=5092","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=5092, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-224","layer":3},{"info":"compute binary expreesion, left_input=-10639, right_input=-224, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=10465","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=10465, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=3672","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1149⊾⪯⋞⋰*⋻851)⪔(⨑⩽⪐⋰*⋻6A27))⨫⇇↔((⇤←⋰*⋻1893)⪭(⋰*⋻1966⊹∫⫚⋰*⋻390A)))⫻⋑⊟=⋰*⋻2839","reverse_text":"⋰*⋻2839=(((⋰*⋻1149⊾⪯⋞⋰*⋻851)⪔(⨑⩽⪐⋰*⋻6A27))⨫⇇↔((⇤←⋰*⋻1893)⪭(⋰*⋻1966⊹∫⫚⋰*⋻390A)))⫻⋑⊟","cot":[{"info":"⋰*⋻1149⊾⪯⋞⋰*⋻851=⋰*⋻1245","layer":3},{"info":"⨑⩽⪐⋰*⋻6A27=⋰*⋻-67A9","layer":3},{"info":"⋰*⋻1245⪔⋰*⋻-67A9=⋰*⋻37A","layer":2},{"info":"⇤←⋰*⋻1893=⋰*⋻-7AA2","layer":3},{"info":"⋰*⋻1966⊹∫⫚⋰*⋻390A=⋰*⋻-194","layer":3},{"info":"⋰*⋻-7AA2⪭⋰*⋻-194=⋰*⋻7954","layer":2},{"info":"⋰*⋻37A⨫⇇↔⋰*⋻7954=⋰*⋻-43A","layer":1},{"info":"⋰*⋻-43A⫻⋑⊟=⋰*⋻2839","layer":0}]}
{"id":257,"expression_no_base_symbol":"(≀↧⇸($2035$⫸⇳$2095$)⫯⪬∳($4013$↰))⪔((($7926$⨁⊸⫻)⨉)⪒(≋($7203$≥⨤⩑$2533$)))","expression":"(≀↧⇸(⋰*⋻1590⫸⇳⋰*⋻1635)⫯⪬∳(⋰*⋻3019↰))⪔(((⋰*⋻5A56⨁⊸⫻)⨉)⪒(≋(⋰*⋻5459≥⨤⩑⋰*⋻19A3)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":27489,"operation_count":10,"complexity_ratio":2748.9,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2035,"base":11},"right_expr":{"type":"numeric_atoms","value":2095,"base":11}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":4013,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":7926,"base":11}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":7203,"base":11},"right_expr":{"type":"numeric_atoms","value":2533,"base":11}}}}},"used_operators":["GjBEYRfMaF","ljTHtUsqzn","d7ASUq0ydm","gx7XJ7hdpj","bl5wxAcryP","f6k1SAg4EE","aMUSaJuDRU","glklzrTFfD","61wBmkZwlr","gJLn6v0xnP"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XPYlsWDdGa","23Mk6UjR3U","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","W4YGzv6Whe","rysDP5nf3Z","7j4O788W3g","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"⋰*⋻37A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2035","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=2095, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=4013","layer":4},{"info":"compute unary expreesion, input=4013, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=3912","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3912, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=1892","layer":1},{"info":"number node, value=7926","layer":4},{"info":"compute unary expreesion, input=7926, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7926","layer":3},{"info":"compute unary expreesion, input=7926, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=18180","layer":2},{"info":"number node, value=7203","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=7203, right_input=2533, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=18180, right_input=1234, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-19414","layer":1},{"info":"compute binary expreesion, left_input=1892, right_input=-19414, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":11,"result_base":11,"text":"(≀↧⇸(⋰*⋻1590⫸⇳⋰*⋻1635)⫯⪬∳(⋰*⋻3019↰))⪔(((⋰*⋻5A56⨁⊸⫻)⨉)⪒(≋(⋰*⋻5459≥⨤⩑⋰*⋻19A3)))=⋰*⋻37A","reverse_text":"⋰*⋻37A=(≀↧⇸(⋰*⋻1590⫸⇳⋰*⋻1635)⫯⪬∳(⋰*⋻3019↰))⪔(((⋰*⋻5A56⨁⊸⫻)⨉)⪒(≋(⋰*⋻5459≥⨤⩑⋰*⋻19A3)))","cot":[{"info":"⋰*⋻1590⫸⇳⋰*⋻1635=⋰*⋻0","layer":3},{"info":"⋰*⋻3019↰=⋰*⋻2A37","layer":3},{"info":"⋰*⋻0⫯⪬∳⋰*⋻2A37=⋰*⋻-3A0","layer":2},{"info":"≀↧⇸⋰*⋻-3A0=⋰*⋻1470","layer":1},{"info":"⋰*⋻5A56⨁⊸⫻=⋰*⋻5A56","layer":3},{"info":"⋰*⋻5A56⨉=⋰*⋻12728","layer":2},{"info":"⋰*⋻5459≥⨤⩑⋰*⋻19A3=⋰*⋻A22","layer":3},{"info":"≋⋰*⋻A22=⋰*⋻A22","layer":2},{"info":"⋰*⋻12728⪒⋰*⋻A22=⋰*⋻-1364A","layer":1},{"info":"⋰*⋻1470⪔⋰*⋻-1364A=⋰*⋻37A","layer":0}]}
{"id":258,"expression_no_base_symbol":"↸⊣(($3859$↙$4744$⩨$2403$⊝⪿⪼$1018$)∛((⊖$2110$)⨻⩈⩔($3869$↡⊰⫅$1884$)))","expression":"↸⊣((⋰*⋻2999↙⋰*⋻3623⩨⋰*⋻1895⊝⪿⪼⋰*⋻846)∛((⊖⋰*⋻1649)⨻⩈⩔(⋰*⋻29A8↡⊰⫅⋰*⋻1463)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":31331,"operation_count":8,"complexity_ratio":3916.375,"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":3859,"base":11},"right_expr":{"type":"numeric_atoms","value":4744,"base":11}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2403,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2110,"base":11}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3869,"base":11},"right_expr":{"type":"numeric_atoms","value":1884,"base":11}}}}},"used_operators":["wztAlM01eG","w2537kitQq","2DlMacCsIx","yyfyN0ffXY","3Oe9XWJUTD","nEsXyWgiOK","U6pG0PXrV3","VCtxkLNOzz"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⋰*⋻190","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3859","layer":4},{"info":"number node, value=4744","layer":4},{"info":"compute binary expreesion, left_input=3859, right_input=4744, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14232","layer":3},{"info":"number node, value=2403","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=1018, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=39047","layer":3},{"info":"compute binary expreesion, left_input=-14232, right_input=39047, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"number node, value=2110","layer":4},{"info":"compute unary expreesion, input=2110, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=3869","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=3869, right_input=1884, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3768","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3768, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=-174, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=220","layer":0}],"base":11,"result_base":11,"text":"↸⊣((⋰*⋻2999↙⋰*⋻3623⩨⋰*⋻1895⊝⪿⪼⋰*⋻846)∛((⊖⋰*⋻1649)⨻⩈⩔(⋰*⋻29A8↡⊰⫅⋰*⋻1463)))=⋰*⋻190","reverse_text":"⋰*⋻190=↸⊣((⋰*⋻2999↙⋰*⋻3623⩨⋰*⋻1895⊝⪿⪼⋰*⋻846)∛((⊖⋰*⋻1649)⨻⩈⩔(⋰*⋻29A8↡⊰⫅⋰*⋻1463)))","cot":[{"info":"⋰*⋻2999↙⋰*⋻3623=⋰*⋻-A769","layer":3},{"info":"⋰*⋻1895⊝⪿⪼⋰*⋻846=⋰*⋻27378","layer":3},{"info":"⋰*⋻-A769⩨⋰*⋻27378=⋰*⋻9","layer":2},{"info":"⊖⋰*⋻1649=⋰*⋻0","layer":3},{"info":"⋰*⋻29A8↡⊰⫅⋰*⋻1463=⋰*⋻2916","layer":3},{"info":"⋰*⋻0⨻⩈⩔⋰*⋻2916=⋰*⋻-149","layer":2},{"info":"⋰*⋻9∛⋰*⋻-149=⋰*⋻61","layer":1},{"info":"↸⊣⋰*⋻61=⋰*⋻190","layer":0}]}
{"id":259,"expression_no_base_symbol":"⊆⋠((∓($5922$⇌⫙⪟$1515$))⪑⩈)","expression":"⊆⋠((∓(⋰*⋻44A4⇌⫙⪟⋰*⋻1158))⪑⩈)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":75,"operation_count":4,"complexity_ratio":18.75,"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":5922,"base":11},"right_expr":{"type":"numeric_atoms","value":1515,"base":11}}}}},"used_operators":["EBhcHTkKd8","C6VvDP6HwP","OwUj7dcsQK","AFVx7xoS7T"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5922","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=5922, right_input=1515, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-6567","layer":2},{"info":"compute unary expreesion, input=-6567, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=6609","layer":1},{"info":"compute unary expreesion, input=6609, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⊆⋠((∓(⋰*⋻44A4⇌⫙⪟⋰*⋻1158))⪑⩈)=⋰*⋻0","reverse_text":"⋰*⋻0=⊆⋠((∓(⋰*⋻44A4⇌⫙⪟⋰*⋻1158))⪑⩈)","cot":[{"info":"⋰*⋻44A4⇌⫙⪟⋰*⋻1158=⋰*⋻A3","layer":3},{"info":"∓⋰*⋻A3=⋰*⋻-4A30","layer":2},{"info":"⋰*⋻-4A30⪑⩈=⋰*⋻4A69","layer":1},{"info":"⊆⋠⋰*⋻4A69=⋰*⋻0","layer":0}]}
{"id":260,"expression_no_base_symbol":"⪁⇼((($1557$∴$4671$)⋹)/(≑⋹$2154$)⩣⫁∢($1930$⫃⨇$1075$))","expression":"⪁⇼(((⋰*⋻1196∴⋰*⋻3567)⋹)/(≑⋹⋰*⋻1689)⩣⫁∢(⋰*⋻14A5⫃⨇⋰*⋻898))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":222,"operation_count":7,"complexity_ratio":31.714285714285715,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1557,"base":11},"right_expr":{"type":"numeric_atoms","value":4671,"base":11}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2154,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1930,"base":11},"right_expr":{"type":"numeric_atoms","value":1075,"base":11}}}}},"used_operators":["ZNVVrZ94lY","XhwjNDsVaA","opAxDRczMr","hrf7POJlIJ","JDUIKTTSIa","6B9nyZLogK","09Ly4LVMIf"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⋰*⋻354","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1557","layer":4},{"info":"number node, value=4671","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=4671, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4762","layer":3},{"info":"compute unary expreesion, input=4762, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"number node, value=2154","layer":4},{"info":"compute unary expreesion, input=2154, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=1930","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=1075, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4332","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-4332, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3139","layer":2},{"info":"compute binary expreesion, left_input=-20, right_input=-3139, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":11,"result_base":11,"text":"⪁⇼(((⋰*⋻1196∴⋰*⋻3567)⋹)/(≑⋹⋰*⋻1689)⩣⫁∢(⋰*⋻14A5⫃⨇⋰*⋻898))=⋰*⋻354","reverse_text":"⋰*⋻354=⪁⇼(((⋰*⋻1196∴⋰*⋻3567)⋹)/(≑⋹⋰*⋻1689)⩣⫁∢(⋰*⋻14A5⫃⨇⋰*⋻898))","cot":[{"info":"⋰*⋻1196∴⋰*⋻3567=⋰*⋻363A","layer":3},{"info":"⋰*⋻363A⋹=⋰*⋻-19","layer":2},{"info":"≑⋹⋰*⋻1689=⋰*⋻1270","layer":3},{"info":"⋰*⋻14A5⫃⨇⋰*⋻898=⋰*⋻-3289","layer":3},{"info":"⋰*⋻1270⩣⫁∢⋰*⋻-3289=⋰*⋻-23A4","layer":2},{"info":"⋰*⋻-19/⋰*⋻-23A4=⋰*⋻0","layer":1},{"info":"⪁⇼⋰*⋻0=⋰*⋻354","layer":0}]}
{"id":261,"expression_no_base_symbol":"(($5587$⨎$2911$)⨰($4387$↯⫤))⨐($4369$⫢⨠$4188$∕⩚$2302$⪡$2293$)⋝⋈⪟(($1046$∩⋅)⊾⪯⋞(⨵≀≌$5119$))⪥((⨭⩧⫛$3117$)⫦⪉$1353$∼$2425$)","expression":"((⋰*⋻421A⨎⋰*⋻2207)⨰(⋰*⋻3329↯⫤))⨐(⋰*⋻3312⫢⨠⋰*⋻3168∕⩚⋰*⋻1803⪡⋰*⋻17A5)⋝⋈⪟((⋰*⋻871∩⋅)⊾⪯⋞(⨵≀≌⋰*⋻3934))⪥((⨭⩧⫛⋰*⋻2384)⫦⪉⋰*⋻1020∼⋰*⋻1905)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":319,"operation_count":15,"complexity_ratio":21.266666666666666,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5587,"base":11},"right_expr":{"type":"numeric_atoms","value":2911,"base":11}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":4387,"base":11}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4369,"base":11},"right_expr":{"type":"numeric_atoms","value":4188,"base":11}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2302,"base":11},"right_expr":{"type":"numeric_atoms","value":2293,"base":11}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1046,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5119,"base":11}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3117,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1353,"base":11},"right_expr":{"type":"numeric_atoms","value":2425,"base":11}}}}},"used_operators":["2DDjHMKMc0","Noe24qw2ks","eewbuw0ToL","rJVOvQCfKK","VwlE7vj6HS","z9ffQ9n5Zr","xlXykHWxX1","oraRL2iQuh","QbnwKVWMIQ","HK0tfVPux8","2MzE1hQ0cz","srAu1WTS94","wscyQdcy20","g21JL6JxX7","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Qy55tPpLXF","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋰*⋻-4431","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5587","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=5587, right_input=2911, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2911","layer":3},{"info":"number node, value=4387","layer":4},{"info":"compute unary expreesion, input=4387, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2911, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2921","layer":2},{"info":"number node, value=4369","layer":4},{"info":"number node, value=4188","layer":4},{"info":"compute binary expreesion, left_input=4369, right_input=4188, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2302","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=2293, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=107, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=2921, right_input=-487, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5842","layer":1},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-925","layer":3},{"info":"number node, value=5119","layer":4},{"info":"compute unary expreesion, input=5119, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15357","layer":3},{"info":"compute binary expreesion, left_input=-925, right_input=-15357, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=3117","layer":4},{"info":"compute unary expreesion, input=3117, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=2425, 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 = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=284","layer":1},{"info":"compute binary expreesion, left_input=-5842, right_input=284, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-5842","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻421A⨎⋰*⋻2207)⨰(⋰*⋻3329↯⫤))⨐(⋰*⋻3312⫢⨠⋰*⋻3168∕⩚⋰*⋻1803⪡⋰*⋻17A5)⋝⋈⪟((⋰*⋻871∩⋅)⊾⪯⋞(⨵≀≌⋰*⋻3934))⪥((⨭⩧⫛⋰*⋻2384)⫦⪉⋰*⋻1020∼⋰*⋻1905)=⋰*⋻-4431","reverse_text":"⋰*⋻-4431=((⋰*⋻421A⨎⋰*⋻2207)⨰(⋰*⋻3329↯⫤))⨐(⋰*⋻3312⫢⨠⋰*⋻3168∕⩚⋰*⋻1803⪡⋰*⋻17A5)⋝⋈⪟((⋰*⋻871∩⋅)⊾⪯⋞(⨵≀≌⋰*⋻3934))⪥((⨭⩧⫛⋰*⋻2384)⫦⪉⋰*⋻1020∼⋰*⋻1905)","cot":[{"info":"⋰*⋻421A⨎⋰*⋻2207=⋰*⋻2207","layer":3},{"info":"⋰*⋻3329↯⫤=⋰*⋻0","layer":3},{"info":"⋰*⋻2207⨰⋰*⋻0=⋰*⋻2216","layer":2},{"info":"⋰*⋻3312⫢⨠⋰*⋻3168=⋰*⋻136","layer":3},{"info":"⋰*⋻1803⪡⋰*⋻17A5=⋰*⋻98","layer":3},{"info":"⋰*⋻136∕⩚⋰*⋻98=⋰*⋻-403","layer":2},{"info":"⋰*⋻2216⨐⋰*⋻-403=⋰*⋻-4431","layer":1},{"info":"⋰*⋻871∩⋅=⋰*⋻-771","layer":3},{"info":"⨵≀≌⋰*⋻3934=⋰*⋻-105A1","layer":3},{"info":"⋰*⋻-771⊾⪯⋞⋰*⋻-105A1=⋰*⋻-686","layer":2},{"info":"⨭⩧⫛⋰*⋻2384=NaN","layer":3},{"info":"⋰*⋻1020∼⋰*⋻1905=NaN","layer":3},{"info":"NaN⫦⪉NaN=NaN","layer":2},{"info":"⋰*⋻-686⪥NaN=⋰*⋻239","layer":1},{"info":"⋰*⋻-4431⋝⋈⪟⋰*⋻239=⋰*⋻-4431","layer":0}]}
{"id":262,"expression_no_base_symbol":"(⊢≑≆$5720$≎⪠$1265$)∓⋝(↣≠⋷($6269$⫢⨠$7325$))∋((($6646$≬⋮$5120$)⩺⋐⫨)⩌⋺($2037$⊲⩕⊾$1880$⊭↱($1499$⩨$4741$)))","expression":"(⊢≑≆⋰*⋻4330≎⪠⋰*⋻A50)∓⋝(↣≠⋷(⋰*⋻478A⫢⨠⋰*⋻555A))∋(((⋰*⋻4AA2≬⋮⋰*⋻3935)⩺⋐⫨)⩌⋺(⋰*⋻1592⊲⩕⊾⋰*⋻145A⊭↱(⋰*⋻1143⩨⋰*⋻3620)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45545,"operation_count":12,"complexity_ratio":3795.4166666666665,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":1265,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":6269,"base":11},"right_expr":{"type":"numeric_atoms","value":7325,"base":11}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":6646,"base":11},"right_expr":{"type":"numeric_atoms","value":5120,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2037,"base":11},"right_expr":{"type":"numeric_atoms","value":1880,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1499,"base":11},"right_expr":{"type":"numeric_atoms","value":4741,"base":11}}}}},"used_operators":["ukq6epAj5P","PoHhknlbAi","27wFxooxGf","aNhz54LH3e","Asc51vEJeQ","xlXykHWxX1","g7Hmc5v1ko","yS9ePUuUdn","kbkesczE7y","COABgblf1C","DmTXOeWf9t","2DlMacCsIx"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","XhwjNDsVaA","AHs5Up7iyr","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋰*⋻-38272","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5720","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=5720, right_input=1265, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=78684","layer":2},{"info":"number node, value=6269","layer":4},{"info":"number node, value=7325","layer":4},{"info":"compute binary expreesion, left_input=6269, right_input=7325, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=78684, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=6646","layer":4},{"info":"number node, value=5120","layer":4},{"info":"compute binary expreesion, left_input=6646, right_input=5120, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"number node, value=2037","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=1880, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-48022","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=4741","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=4741, 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=-48022, right_input=-9, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=96031","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=96031, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-96152","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-96152, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54892","layer":0}],"base":11,"result_base":11,"text":"(⊢≑≆⋰*⋻4330≎⪠⋰*⋻A50)∓⋝(↣≠⋷(⋰*⋻478A⫢⨠⋰*⋻555A))∋(((⋰*⋻4AA2≬⋮⋰*⋻3935)⩺⋐⫨)⩌⋺(⋰*⋻1592⊲⩕⊾⋰*⋻145A⊭↱(⋰*⋻1143⩨⋰*⋻3620)))=⋰*⋻-38272","reverse_text":"⋰*⋻-38272=(⊢≑≆⋰*⋻4330≎⪠⋰*⋻A50)∓⋝(↣≠⋷(⋰*⋻478A⫢⨠⋰*⋻555A))∋(((⋰*⋻4AA2≬⋮⋰*⋻3935)⩺⋐⫨)⩌⋺(⋰*⋻1592⊲⩕⊾⋰*⋻145A⊭↱(⋰*⋻1143⩨⋰*⋻3620)))","cot":[{"info":"⋰*⋻4330≎⪠⋰*⋻A50=⋰*⋻13770","layer":3},{"info":"⊢≑≆⋰*⋻13770=⋰*⋻54131","layer":2},{"info":"⋰*⋻478A⫢⨠⋰*⋻555A=⋰*⋻136","layer":3},{"info":"↣≠⋷⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻54131∓⋝NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻4AA2≬⋮⋰*⋻3935=⋰*⋻71A","layer":3},{"info":"⋰*⋻71A⩺⋐⫨=⋰*⋻0","layer":2},{"info":"⋰*⋻1592⊲⩕⊾⋰*⋻145A=⋰*⋻-33097","layer":3},{"info":"⋰*⋻1143⩨⋰*⋻3620=⋰*⋻-9","layer":3},{"info":"⋰*⋻-33097⊭↱⋰*⋻-9=⋰*⋻66171","layer":2},{"info":"⋰*⋻0⩌⋺⋰*⋻66171=⋰*⋻-66271","layer":1},{"info":"⋰*⋻61∋⋰*⋻-66271=⋰*⋻-38272","layer":0}]}
{"id":263,"expression_no_base_symbol":"↞≼(($9228$⋾⨃∁$5866$)⨂≜($1262$⇚⪠)⪒($2006$⫌⩉⩟$1223$)⊬⨰($1028$⊴$5396$))","expression":"↞≼((⋰*⋻6A2A⋾⨃∁⋰*⋻4453)⨂≜(⋰*⋻A48⇚⪠)⪒(⋰*⋻1564⫌⩉⩟⋰*⋻A12)⊬⨰(⋰*⋻855⊴⋰*⋻4066))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":344047470,"operation_count":8,"complexity_ratio":43005933.75,"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":9228,"base":11},"right_expr":{"type":"numeric_atoms","value":5866,"base":11}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1262,"base":11}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2006,"base":11},"right_expr":{"type":"numeric_atoms","value":1223,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1028,"base":11},"right_expr":{"type":"numeric_atoms","value":5396,"base":11}}}}},"used_operators":["DE7zCoGJt9","f6k1SAg4EE","k1SHOSEABc","212REbPD9h","Loh9y4A90B","s3Fd5m9Dh2","XIIwhv8d0m","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9228","layer":4},{"info":"number node, value=5866","layer":4},{"info":"compute binary expreesion, left_input=9228, right_input=5866, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=344029074","layer":3},{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=3185288","layer":3},{"info":"compute binary expreesion, left_input=344029074, right_input=3185288, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2006","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=1223, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=5396","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=5396, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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 = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↞≼((⋰*⋻6A2A⋾⨃∁⋰*⋻4453)⨂≜(⋰*⋻A48⇚⪠)⪒(⋰*⋻1564⫌⩉⩟⋰*⋻A12)⊬⨰(⋰*⋻855⊴⋰*⋻4066))=NaN","reverse_text":"NaN=↞≼((⋰*⋻6A2A⋾⨃∁⋰*⋻4453)⨂≜(⋰*⋻A48⇚⪠)⪒(⋰*⋻1564⫌⩉⩟⋰*⋻A12)⊬⨰(⋰*⋻855⊴⋰*⋻4066))","cot":[{"info":"⋰*⋻6A2A⋾⨃∁⋰*⋻4453=⋰*⋻167217154","layer":3},{"info":"⋰*⋻A48⇚⪠=⋰*⋻1886177","layer":3},{"info":"⋰*⋻167217154⨂≜⋰*⋻1886177=NaN","layer":2},{"info":"⋰*⋻1564⫌⩉⩟⋰*⋻A12=⋰*⋻-46","layer":3},{"info":"⋰*⋻855⊴⋰*⋻4066=NaN","layer":3},{"info":"⋰*⋻-46⊬⨰NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"↞≼NaN=NaN","layer":0}]}
{"id":264,"expression_no_base_symbol":"($4571$⋕⪉⪜$1150$∝($2764$⨴∎))⪥(($3829$⪔$4129$)⪶≀⋏($4444$⨳⩥⨓$2606$))⪚((↴⪽⋼($3920$⊍⩺⋍$1048$))⪛⫼(($2595$↬⩅∪)⪉⨛($3284$⇚⪠)))","expression":"(⋰*⋻3486⋕⪉⪜⋰*⋻956∝(⋰*⋻2093⨴∎))⪥((⋰*⋻2971⪔⋰*⋻3114)⪶≀⋏(⋰*⋻3380⨳⩥⨓⋰*⋻1A5A))⪚((↴⪽⋼(⋰*⋻2A44⊍⩺⋍⋰*⋻873))⪛⫼((⋰*⋻1A4A↬⩅∪)⪉⨛(⋰*⋻2516⇚⪠)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10852,"operation_count":14,"complexity_ratio":775.1428571428571,"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":4571,"base":11},"right_expr":{"type":"numeric_atoms","value":1150,"base":11}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2764,"base":11}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3829,"base":11},"right_expr":{"type":"numeric_atoms","value":4129,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4444,"base":11},"right_expr":{"type":"numeric_atoms","value":2606,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3920,"base":11},"right_expr":{"type":"numeric_atoms","value":1048,"base":11}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2595,"base":11}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":3284,"base":11}}}}},"used_operators":["HrjLwUk87U","QbnwKVWMIQ","cTDWOvIxvz","z6LnFrNh4i","CpSg5vQTgA","zR4jO40bMj","GjBEYRfMaF","nCS4ZIUYfx","hyuBjUqXlG","5TUYCnJO6w","OXDGMFPWZM","EWw2JM7wp4","VJ330n2nnx","Loh9y4A90B"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","7j4O788W3g","W4YGzv6Whe","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4571","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=1150, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=2764","layer":4},{"info":"compute unary expreesion, input=2764, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=3829","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=3829, right_input=4129, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=4444","layer":4},{"info":"number node, value=2606","layer":4},{"info":"compute binary expreesion, left_input=4444, right_input=2606, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1838","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-1838, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=827","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=827, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":1},{"info":"number node, value=3920","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=3920, right_input=1048, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":2},{"info":"number node, value=2595","layer":4},{"info":"compute unary expreesion, input=2595, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-7785","layer":3},{"info":"number node, value=3284","layer":4},{"info":"compute unary expreesion, input=3284, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=21569312","layer":3},{"info":"compute binary expreesion, left_input=-7785, right_input=21569312, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-64731076","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-64731076, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3486⋕⪉⪜⋰*⋻956∝(⋰*⋻2093⨴∎))⪥((⋰*⋻2971⪔⋰*⋻3114)⪶≀⋏(⋰*⋻3380⨳⩥⨓⋰*⋻1A5A))⪚((↴⪽⋼(⋰*⋻2A44⊍⩺⋍⋰*⋻873))⪛⫼((⋰*⋻1A4A↬⩅∪)⪉⨛(⋰*⋻2516⇚⪠)))=NaN","reverse_text":"NaN=(⋰*⋻3486⋕⪉⪜⋰*⋻956∝(⋰*⋻2093⨴∎))⪥((⋰*⋻2971⪔⋰*⋻3114)⪶≀⋏(⋰*⋻3380⨳⩥⨓⋰*⋻1A5A))⪚((↴⪽⋼(⋰*⋻2A44⊍⩺⋍⋰*⋻873))⪛⫼((⋰*⋻1A4A↬⩅∪)⪉⨛(⋰*⋻2516⇚⪠)))","cot":[{"info":"⋰*⋻3486⋕⪉⪜⋰*⋻956=⋰*⋻2118","layer":3},{"info":"⋰*⋻2093⨴∎=NaN","layer":3},{"info":"⋰*⋻2118∝NaN=NaN","layer":2},{"info":"⋰*⋻2971⪔⋰*⋻3114=⋰*⋻37A","layer":3},{"info":"⋰*⋻3380⨳⩥⨓⋰*⋻1A5A=⋰*⋻-1421","layer":3},{"info":"⋰*⋻37A⪶≀⋏⋰*⋻-1421=⋰*⋻692","layer":2},{"info":"NaN⪥⋰*⋻692=NaN","layer":1},{"info":"⋰*⋻2A44⊍⩺⋍⋰*⋻873=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"⋰*⋻1A4A↬⩅∪=⋰*⋻-5938","layer":3},{"info":"⋰*⋻2516⇚⪠=⋰*⋻111A2386","layer":3},{"info":"⋰*⋻-5938⪉⨛⋰*⋻111A2386=⋰*⋻-335A2463","layer":2},{"info":"NaN⪛⫼⋰*⋻-335A2463=NaN","layer":1},{"info":"NaN⪚NaN=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"⫖→((⋣($5410$⩚⊴⇥$1627$))⫌⩹⨱)","expression":"⫖→((⋣(⋰*⋻4079⩚⊴⇥⋰*⋻124A))⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1556,"operation_count":4,"complexity_ratio":389.0,"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":5410,"base":11},"right_expr":{"type":"numeric_atoms","value":1627,"base":11}}}}},"used_operators":["U4ylXWHChL","EBcxylXtPf","zQWRhDnn8F","NTOWxs364D"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","W4YGzv6Whe","rysDP5nf3Z","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻151","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5410","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=5410, right_input=1627, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7158","layer":3},{"info":"compute unary expreesion, input=-7158, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1175","layer":1},{"info":"compute unary expreesion, input=1175, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":11,"result_base":11,"text":"⫖→((⋣(⋰*⋻4079⩚⊴⇥⋰*⋻124A))⫌⩹⨱)=⋰*⋻151","reverse_text":"⋰*⋻151=⫖→((⋣(⋰*⋻4079⩚⊴⇥⋰*⋻124A))⫌⩹⨱)","cot":[{"info":"⋰*⋻4079⩚⊴⇥⋰*⋻124A=⋰*⋻-5418","layer":3},{"info":"⋣⋰*⋻-5418=⋰*⋻-A3","layer":2},{"info":"⋰*⋻-A3⫌⩹⨱=⋰*⋻979","layer":1},{"info":"⫖→⋰*⋻979=⋰*⋻151","layer":0}]}
{"id":266,"expression_no_base_symbol":"$8580$⩁⩘$1619$⨎$1333$⇴$1748$↺$2148$⨥⫆$4072$↹⊜($1544$↬$2319$)⨸⪁(($3469$⪘⫢$1206$⪁$1051$⨚⇆$5163$)*($1643$-$3671$)↼⊘⨖($2794$⩹$1930$))","expression":"⋰*⋻64A0⩁⩘⋰*⋻1242⨎⋰*⋻1002⇴⋰*⋻134A↺⋰*⋻1683⨥⫆⋰*⋻3072↹⊜(⋰*⋻1184↬⋰*⋻1819)⨸⪁((⋰*⋻2674⪘⫢⋰*⋻9A7⪁⋰*⋻876⨚⇆⋰*⋻3974)*(⋰*⋻1264-⋰*⋻2838)↼⊘⨖(⋰*⋻2110⩹⋰*⋻14A5))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14355,"operation_count":15,"complexity_ratio":957.0,"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":8580,"base":11},"right_expr":{"type":"numeric_atoms","value":1619,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":1748,"base":11}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2148,"base":11},"right_expr":{"type":"numeric_atoms","value":4072,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1544,"base":11},"right_expr":{"type":"numeric_atoms","value":2319,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3469,"base":11},"right_expr":{"type":"numeric_atoms","value":1206,"base":11}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1051,"base":11},"right_expr":{"type":"numeric_atoms","value":5163,"base":11}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1643,"base":11},"right_expr":{"type":"numeric_atoms","value":3671,"base":11}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2794,"base":11},"right_expr":{"type":"numeric_atoms","value":1930,"base":11}}}}},"used_operators":["g55IO6H4Gj","7j4O788W3g","rJVOvQCfKK","gub5Cegaqo","4JB6nKBMSY","9bazX3JMtO","yXekIHxTD4","B5M0gjZbta","9HNa5Wba9A","I7sXao9hZE","oacrs7FA3X","lwHaAYXP2r","bPywburJMS","rysDP5nf3Z","2Wsdkap16l"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DpFCA1CohY","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rGHVDoGpnC","W4YGzv6Whe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8580","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=8580, right_input=1619, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7424","layer":3},{"info":"number node, value=1333","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1748, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=11108","layer":3},{"info":"compute binary expreesion, left_input=7424, right_input=11108, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=11108","layer":2},{"info":"number node, value=2148","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=4072, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=8020","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=2319, 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=8020, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11108, 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=3469","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=3469, right_input=1206, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6814","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=5163","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=5163, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6814, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1643","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=3671, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2028","layer":3},{"info":"number node, value=2794","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=1930, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1928","layer":3},{"info":"compute binary expreesion, left_input=-2028, right_input=1928, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3634","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3634, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":11,"result_base":11,"text":"⋰*⋻64A0⩁⩘⋰*⋻1242⨎⋰*⋻1002⇴⋰*⋻134A↺⋰*⋻1683⨥⫆⋰*⋻3072↹⊜(⋰*⋻1184↬⋰*⋻1819)⨸⪁((⋰*⋻2674⪘⫢⋰*⋻9A7⪁⋰*⋻876⨚⇆⋰*⋻3974)*(⋰*⋻1264-⋰*⋻2838)↼⊘⨖(⋰*⋻2110⩹⋰*⋻14A5))=NaN","reverse_text":"NaN=⋰*⋻64A0⩁⩘⋰*⋻1242⨎⋰*⋻1002⇴⋰*⋻134A↺⋰*⋻1683⨥⫆⋰*⋻3072↹⊜(⋰*⋻1184↬⋰*⋻1819)⨸⪁((⋰*⋻2674⪘⫢⋰*⋻9A7⪁⋰*⋻876⨚⇆⋰*⋻3974)*(⋰*⋻1264-⋰*⋻2838)↼⊘⨖(⋰*⋻2110⩹⋰*⋻14A5))","cot":[{"info":"⋰*⋻64A0⩁⩘⋰*⋻1242=⋰*⋻563A","layer":3},{"info":"⋰*⋻1002⇴⋰*⋻134A=⋰*⋻8389","layer":3},{"info":"⋰*⋻563A⨎⋰*⋻8389=⋰*⋻8389","layer":2},{"info":"⋰*⋻1683⨥⫆⋰*⋻3072=⋰*⋻6031","layer":3},{"info":"⋰*⋻1184↬⋰*⋻1819=NaN","layer":3},{"info":"⋰*⋻6031↹⊜NaN=NaN","layer":2},{"info":"⋰*⋻8389↺NaN=NaN","layer":1},{"info":"⋰*⋻2674⪘⫢⋰*⋻9A7=⋰*⋻5135","layer":3},{"info":"⋰*⋻876⨚⇆⋰*⋻3974=NaN","layer":3},{"info":"⋰*⋻5135⪁NaN=NaN","layer":2},{"info":"⋰*⋻1264-⋰*⋻2838=⋰*⋻-1584","layer":3},{"info":"⋰*⋻2110⩹⋰*⋻14A5=⋰*⋻14A3","layer":3},{"info":"⋰*⋻-1584↼⊘⨖⋰*⋻14A3=⋰*⋻2804","layer":2},{"info":"NaN*⋰*⋻2804=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"($1945$≳⇉$1361$)↳∿⪆(↴⪽⋼$5052$)⊲⩕⊾(($1488$∝$8065$)⪇≇⋚($1459$↑))∙∹∝((⩷(-$4265$))⨶)","expression":"(⋰*⋻1509≳⇉⋰*⋻1028)↳∿⪆(↴⪽⋼⋰*⋻3883)⊲⩕⊾((⋰*⋻1133∝⋰*⋻6072)⪇≇⋚(⋰*⋻1107↑))∙∹∝((⩷(-⋰*⋻3228))⨶)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23815950,"operation_count":11,"complexity_ratio":2165086.3636363638,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1945,"base":11},"right_expr":{"type":"numeric_atoms","value":1361,"base":11}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":5052,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1488,"base":11},"right_expr":{"type":"numeric_atoms","value":8065,"base":11}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1459,"base":11}}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4265,"base":11}}}}},"used_operators":["HmxsFra2vL","DmTXOeWf9t","Cw4SuJJGHO","V0kx6qeWkN","5TUYCnJO6w","3sJ7IOPOlU","cTDWOvIxvz","BThhyOhh10","rFxw8gIMmB","1h0rLqGiFr","t8gj7n24qd"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","7j4O788W3g","W4YGzv6Whe","COABgblf1C","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","f6k1SAg4EE","Qy55tPpLXF","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1945","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=1361, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=5052","layer":4},{"info":"compute unary expreesion, input=5052, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=5052","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5052, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1488","layer":4},{"info":"number node, value=8065","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=8065, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1493","layer":3},{"info":"number node, value=1459","layer":4},{"info":"compute unary expreesion, input=1459, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=1493, right_input=222, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=4265","layer":4},{"info":"compute unary expreesion, input=4265, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4265","layer":3},{"info":"compute unary expreesion, input=-4265, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=51101","layer":2},{"info":"compute unary expreesion, input=51101, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=100456","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=100456, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1509≳⇉⋰*⋻1028)↳∿⪆(↴⪽⋼⋰*⋻3883)⊲⩕⊾((⋰*⋻1133∝⋰*⋻6072)⪇≇⋚(⋰*⋻1107↑))∙∹∝((⩷(-⋰*⋻3228))⨶)=NaN","reverse_text":"NaN=(⋰*⋻1509≳⇉⋰*⋻1028)↳∿⪆(↴⪽⋼⋰*⋻3883)⊲⩕⊾((⋰*⋻1133∝⋰*⋻6072)⪇≇⋚(⋰*⋻1107↑))∙∹∝((⩷(-⋰*⋻3228))⨶)","cot":[{"info":"⋰*⋻1509≳⇉⋰*⋻1028=NaN","layer":3},{"info":"↴⪽⋼⋰*⋻3883=⋰*⋻3883","layer":3},{"info":"NaN↳∿⪆⋰*⋻3883=NaN","layer":2},{"info":"⋰*⋻1133∝⋰*⋻6072=⋰*⋻1138","layer":3},{"info":"⋰*⋻1107↑=⋰*⋻192","layer":3},{"info":"⋰*⋻1138⪇≇⋚⋰*⋻192=⋰*⋻0","layer":2},{"info":"NaN⊲⩕⊾⋰*⋻0=NaN","layer":1},{"info":"-⋰*⋻3228=⋰*⋻-3228","layer":3},{"info":"⩷⋰*⋻-3228=⋰*⋻35436","layer":2},{"info":"⋰*⋻35436⨶=⋰*⋻69524","layer":1},{"info":"NaN∙∹∝⋰*⋻69524=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"⩦⩻⨪(⋼∭⪍($1100$⨓$3344$)⫁($7294$⪕$3904$))","expression":"⩦⩻⨪(⋼∭⪍(⋰*⋻910⨓⋰*⋻2570)⫁(⋰*⋻5531⪕⋰*⋻2A2A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3471,"operation_count":5,"complexity_ratio":694.2,"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":1100,"base":11},"right_expr":{"type":"numeric_atoms","value":3344,"base":11}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":7294,"base":11},"right_expr":{"type":"numeric_atoms","value":3904,"base":11}}}}},"used_operators":["2td37pGCOC","DbCuESL50I","0ajvFaJAv0","3ViojmjbAp","umQnsF7QlU"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","cHh1gJQ2o6","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋰*⋻910","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=3344, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3347","layer":3},{"info":"number node, value=7294","layer":4},{"info":"number node, value=3904","layer":4},{"info":"compute binary expreesion, left_input=7294, right_input=3904, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=11585","layer":3},{"info":"compute binary expreesion, left_input=-3347, right_input=11585, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=1100","layer":1},{"info":"compute unary expreesion, input=1100, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1100","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪(⋼∭⪍(⋰*⋻910⨓⋰*⋻2570)⫁(⋰*⋻5531⪕⋰*⋻2A2A))=⋰*⋻910","reverse_text":"⋰*⋻910=⩦⩻⨪(⋼∭⪍(⋰*⋻910⨓⋰*⋻2570)⫁(⋰*⋻5531⪕⋰*⋻2A2A))","cot":[{"info":"⋰*⋻910⨓⋰*⋻2570=⋰*⋻-2573","layer":3},{"info":"⋰*⋻5531⪕⋰*⋻2A2A=⋰*⋻8782","layer":3},{"info":"⋰*⋻-2573⫁⋰*⋻8782=⋰*⋻136","layer":2},{"info":"⋼∭⪍⋰*⋻136=⋰*⋻910","layer":1},{"info":"⩦⩻⨪⋰*⋻910=⋰*⋻910","layer":0}]}
{"id":269,"expression_no_base_symbol":"(↩$2750$⨫⇇↔$1008$↡⊰⫅(∂$1242$))⪷","expression":"(↩⋰*⋻2080⨫⇇↔⋰*⋻837↡⊰⫅(∂⋰*⋻A2A))⪷","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":57,"operation_count":5,"complexity_ratio":11.4,"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":2750,"base":11},"right_expr":{"type":"numeric_atoms","value":1008,"base":11}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1242,"base":11}}}}},"used_operators":["Qctrpi3WzA","jLgFTUHLKL","VCtxkLNOzz","LXhwmt4mBO","Uaa54Peajs"],"dependent_operators":["Nsiff2A1zJ","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2750","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=1008, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1242","layer":4},{"info":"compute unary expreesion, input=1242, 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=-527, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↩⋰*⋻2080⨫⇇↔⋰*⋻837↡⊰⫅(∂⋰*⋻A2A))⪷=NaN","reverse_text":"NaN=(↩⋰*⋻2080⨫⇇↔⋰*⋻837↡⊰⫅(∂⋰*⋻A2A))⪷","cot":[{"info":"⋰*⋻2080⨫⇇↔⋰*⋻837=⋰*⋻-43A","layer":3},{"info":"∂⋰*⋻A2A=NaN","layer":3},{"info":"⋰*⋻-43A↡⊰⫅NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN⪷=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"($1071$⨪↰⇹$6374$⋅⇍$5529$→⨶⪴$3295$⨒(($4564$⩹$2505$)⊢))⪄(⊗($1430$⇆⨓≜))∊∟⩊($1811$∌$3225$⫌⩉⩟($3297$⇆⨓≜))","expression":"(⋰*⋻894⨪↰⇹⋰*⋻4875⋅⇍⋰*⋻4177→⨶⪴⋰*⋻2526⨒((⋰*⋻347A⩹⋰*⋻1978)⊢))⪄(⊗(⋰*⋻1090⇆⨓≜))∊∟⩊(⋰*⋻13A7∌⋰*⋻2472⫌⩉⩟(⋰*⋻2528⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1959,"operation_count":13,"complexity_ratio":150.69230769230768,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":6374,"base":11}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5529,"base":11},"right_expr":{"type":"numeric_atoms","value":3295,"base":11}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4564,"base":11},"right_expr":{"type":"numeric_atoms","value":2505,"base":11}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1430,"base":11}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1811,"base":11},"right_expr":{"type":"numeric_atoms","value":3225,"base":11}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3297,"base":11}}}}},"used_operators":["SUmda5xLS4","y75s1iXyHd","AdZkA7nFnk","tmPS8pqC7x","bF6eod5Gvf","40aOVDgCDB","2Wsdkap16l","ddLRYrp01A","RhiyfpczSx","KvvgdUaMHJ","XIIwhv8d0m","8cLx32lpNA"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rJVOvQCfKK","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Uaa54Peajs","KYD54nUTWz","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=6374","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=6374, 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=1071","layer":3},{"info":"number node, value=5529","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=5529, right_input=3295, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-9885","layer":3},{"info":"compute binary expreesion, left_input=1071, right_input=-9885, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1644","layer":2},{"info":"number node, value=4564","layer":4},{"info":"number node, value=2505","layer":4},{"info":"compute binary expreesion, left_input=4564, right_input=2505, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2503","layer":3},{"info":"compute unary expreesion, input=2503, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2750","layer":2},{"info":"compute binary expreesion, left_input=-1644, right_input=-2750, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"number node, value=1430","layer":4},{"info":"compute unary expreesion, input=1430, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":2},{"info":"number node, value=1811","layer":4},{"info":"number node, value=3225","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=3225, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3225","layer":3},{"info":"number node, value=3297","layer":4},{"info":"compute unary expreesion, input=3297, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3225, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1, 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":11,"result_base":11,"text":"(⋰*⋻894⨪↰⇹⋰*⋻4875⋅⇍⋰*⋻4177→⨶⪴⋰*⋻2526⨒((⋰*⋻347A⩹⋰*⋻1978)⊢))⪄(⊗(⋰*⋻1090⇆⨓≜))∊∟⩊(⋰*⋻13A7∌⋰*⋻2472⫌⩉⩟(⋰*⋻2528⇆⨓≜))=NaN","reverse_text":"NaN=(⋰*⋻894⨪↰⇹⋰*⋻4875⋅⇍⋰*⋻4177→⨶⪴⋰*⋻2526⨒((⋰*⋻347A⩹⋰*⋻1978)⊢))⪄(⊗(⋰*⋻1090⇆⨓≜))∊∟⩊(⋰*⋻13A7∌⋰*⋻2472⫌⩉⩟(⋰*⋻2528⇆⨓≜))","cot":[{"info":"⋰*⋻894⨪↰⇹⋰*⋻4875=⋰*⋻894","layer":3},{"info":"⋰*⋻4177→⨶⪴⋰*⋻2526=⋰*⋻-7477","layer":3},{"info":"⋰*⋻894⋅⇍⋰*⋻-7477=⋰*⋻-1265","layer":2},{"info":"⋰*⋻347A⩹⋰*⋻1978=⋰*⋻1976","layer":3},{"info":"⋰*⋻1976⊢=⋰*⋻-2080","layer":2},{"info":"⋰*⋻-1265⨒⋰*⋻-2080=⋰*⋻1","layer":1},{"info":"⋰*⋻1090⇆⨓≜=NaN","layer":3},{"info":"⊗NaN=NaN","layer":2},{"info":"⋰*⋻13A7∌⋰*⋻2472=⋰*⋻-2472","layer":3},{"info":"⋰*⋻2528⇆⨓≜=NaN","layer":3},{"info":"⋰*⋻-2472⫌⩉⩟NaN=⋰*⋻-46","layer":2},{"info":"NaN∊∟⩊⋰*⋻-46=NaN","layer":1},{"info":"⋰*⋻1⪄NaN=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"((⇜$3375$)⇴∐($1118$⪣⫩)⪇≇⋚((+⊝⨔$1679$)⋅⇍(-$5130$)))+⪬∐(((⇁⨣⪵$3264$)⋅⇍(∐⩳⋚$1099$))⪚(($2843$⨘⋶⪀)∟))","expression":"((⇜⋰*⋻2599)⇴∐(⋰*⋻927⪣⫩)⪇≇⋚((+⊝⨔⋰*⋻1297)⋅⇍(-⋰*⋻3944)))+⪬∐(((⇁⨣⪵⋰*⋻24A8)⋅⇍(∐⩳⋚⋰*⋻90A))⪚((⋰*⋻2155⨘⋶⪀)∟))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":729,"operation_count":14,"complexity_ratio":52.07142857142857,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":3375,"base":11}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1118,"base":11}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1679,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5130,"base":11}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3264,"base":11}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1099,"base":11}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2843,"base":11}}}}},"used_operators":["2GS7woTJqF","3sJ7IOPOlU","HnzytWxmAO","lFBm8KRb8F","iuk5sVOGFA","AdZkA7nFnk","DhbWaqg5eL","t8gj7n24qd","HrjLwUk87U","inkyxCbjAn","SL6IHkK8vl","hTbEZDJLEm","XVKwrhznBb"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","B5M0gjZbta","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3375","layer":4},{"info":"compute unary expreesion, input=3375, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-27408","layer":3},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=3321","layer":3},{"info":"compute binary expreesion, left_input=-27408, right_input=3321, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=1679","layer":4},{"info":"compute unary expreesion, input=1679, 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=5130","layer":4},{"info":"compute unary expreesion, input=5130, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5130","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-5130, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-2095","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-2095, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3264","layer":4},{"info":"compute unary expreesion, input=3264, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=147566","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=147566, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=2843","layer":4},{"info":"compute unary expreesion, input=2843, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⇜⋰*⋻2599)⇴∐(⋰*⋻927⪣⫩)⪇≇⋚((+⊝⨔⋰*⋻1297)⋅⇍(-⋰*⋻3944)))+⪬∐(((⇁⨣⪵⋰*⋻24A8)⋅⇍(∐⩳⋚⋰*⋻90A))⪚((⋰*⋻2155⨘⋶⪀)∟))=⋰*⋻0","reverse_text":"⋰*⋻0=((⇜⋰*⋻2599)⇴∐(⋰*⋻927⪣⫩)⪇≇⋚((+⊝⨔⋰*⋻1297)⋅⇍(-⋰*⋻3944)))+⪬∐(((⇁⨣⪵⋰*⋻24A8)⋅⇍(∐⩳⋚⋰*⋻90A))⪚((⋰*⋻2155⨘⋶⪀)∟))","cot":[{"info":"⇜⋰*⋻2599=⋰*⋻-19657","layer":3},{"info":"⋰*⋻927⪣⫩=⋰*⋻254A","layer":3},{"info":"⋰*⋻-19657⇴∐⋰*⋻254A=⋰*⋻-A6","layer":2},{"info":"+⊝⨔⋰*⋻1297=⋰*⋻1164","layer":3},{"info":"-⋰*⋻3944=⋰*⋻-3944","layer":3},{"info":"⋰*⋻1164⋅⇍⋰*⋻-3944=⋰*⋻-1635","layer":2},{"info":"⋰*⋻-A6⪇≇⋚⋰*⋻-1635=⋰*⋻0","layer":1},{"info":"⇁⨣⪵⋰*⋻24A8=NaN","layer":3},{"info":"∐⩳⋚⋰*⋻90A=⋰*⋻A0961","layer":3},{"info":"NaN⋅⇍⋰*⋻A0961=⋰*⋻-20","layer":2},{"info":"⋰*⋻2155⨘⋶⪀=NaN","layer":3},{"info":"NaN∟=NaN","layer":2},{"info":"⋰*⋻-20⪚NaN=NaN","layer":1},{"info":"⋰*⋻0+⪬∐NaN=⋰*⋻0","layer":0}]}
{"id":272,"expression_no_base_symbol":"(↞≼(($3728$⫿)↡⊰⫅($4558$/$7162$)))⪒⊣⊆(($3076$⨔≚≋$3442$)⨥⫆($1589$⊋≦⊧$5249$)∖(⋃$2498$↳≱$1885$))","expression":"(↞≼((⋰*⋻288A⫿)↡⊰⫅(⋰*⋻3474/⋰*⋻5421)))⪒⊣⊆((⋰*⋻2347⨔≚≋⋰*⋻264A)⨥⫆(⋰*⋻1215⊋≦⊧⋰*⋻3A42)∖(⋃⋰*⋻1971↳≱⋰*⋻1464))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":380,"operation_count":11,"complexity_ratio":34.54545454545455,"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":3728,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4558,"base":11},"right_expr":{"type":"numeric_atoms","value":7162,"base":11}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3076,"base":11},"right_expr":{"type":"numeric_atoms","value":3442,"base":11}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1589,"base":11},"right_expr":{"type":"numeric_atoms","value":5249,"base":11}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2498,"base":11},"right_expr":{"type":"numeric_atoms","value":1885,"base":11}}}}},"used_operators":["eRqsBgTDFp","DE7zCoGJt9","VCtxkLNOzz","9tKT6PmtkH","XhwjNDsVaA","tXD093vOjl","yXekIHxTD4","Z57zeUYC9z","oRDoc9rAEX","3mBM5G4a3l","JwTKLfZU96"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","rysDP5nf3Z","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","g55IO6H4Gj","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⋰*⋻776","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3728","layer":4},{"info":"compute unary expreesion, input=3728, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=3728","layer":3},{"info":"number node, value=4558","layer":4},{"info":"number node, value=7162","layer":4},{"info":"compute binary expreesion, left_input=4558, right_input=7162, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=3728, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-414","layer":1},{"info":"number node, value=3076","layer":4},{"info":"number node, value=3442","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=3442, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1589","layer":4},{"info":"number node, value=5249","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=5249, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-6598","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-6598, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=2498","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=1885, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=102","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=102, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-414, right_input=0, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=930","layer":0}],"base":11,"result_base":11,"text":"(↞≼((⋰*⋻288A⫿)↡⊰⫅(⋰*⋻3474/⋰*⋻5421)))⪒⊣⊆((⋰*⋻2347⨔≚≋⋰*⋻264A)⨥⫆(⋰*⋻1215⊋≦⊧⋰*⋻3A42)∖(⋃⋰*⋻1971↳≱⋰*⋻1464))=⋰*⋻776","reverse_text":"⋰*⋻776=(↞≼((⋰*⋻288A⫿)↡⊰⫅(⋰*⋻3474/⋰*⋻5421)))⪒⊣⊆((⋰*⋻2347⨔≚≋⋰*⋻264A)⨥⫆(⋰*⋻1215⊋≦⊧⋰*⋻3A42)∖(⋃⋰*⋻1971↳≱⋰*⋻1464))","cot":[{"info":"⋰*⋻288A⫿=⋰*⋻288A","layer":3},{"info":"⋰*⋻3474/⋰*⋻5421=⋰*⋻0","layer":3},{"info":"⋰*⋻288A↡⊰⫅⋰*⋻0=⋰*⋻0","layer":2},{"info":"↞≼⋰*⋻0=⋰*⋻-347","layer":1},{"info":"⋰*⋻2347⨔≚≋⋰*⋻264A=⋰*⋻7465","layer":3},{"info":"⋰*⋻1215⊋≦⊧⋰*⋻3A42=⋰*⋻-4A59","layer":3},{"info":"⋰*⋻7465⨥⫆⋰*⋻-4A59=⋰*⋻-1","layer":2},{"info":"⋰*⋻1971↳≱⋰*⋻1464=⋰*⋻0","layer":3},{"info":"⋃⋰*⋻0=⋰*⋻93","layer":2},{"info":"⋰*⋻-1∖⋰*⋻93=⋰*⋻0","layer":1},{"info":"⋰*⋻-347⪒⊣⊆⋰*⋻0=⋰*⋻776","layer":0}]}
{"id":273,"expression_no_base_symbol":"(((⇋⊎⋝$5260$)⫠)⊍⩺⋍($2021$∪⫐$5521$)⊨($6537$∖$2515$))⋛($1322$⫢⨠$3561$)⇡⇂($4860$∛$3633$)∌($1746$⪔$6333$↱(↔$2998$))","expression":"(((⇋⊎⋝⋰*⋻3A52)⫠)⊍⩺⋍(⋰*⋻1578∪⫐⋰*⋻416A)⊨(⋰*⋻4A03∖⋰*⋻1987))⋛(⋰*⋻AA2⫢⨠⋰*⋻2748)⇡⇂(⋰*⋻3719∛⋰*⋻2803)∌(⋰*⋻1348⪔⋰*⋻4838↱(↔⋰*⋻2286))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45691,"operation_count":14,"complexity_ratio":3263.6428571428573,"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":5260,"base":11}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2021,"base":11},"right_expr":{"type":"numeric_atoms","value":5521,"base":11}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6537,"base":11},"right_expr":{"type":"numeric_atoms","value":2515,"base":11}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1322,"base":11},"right_expr":{"type":"numeric_atoms","value":3561,"base":11}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4860,"base":11},"right_expr":{"type":"numeric_atoms","value":3633,"base":11}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1746,"base":11},"right_expr":{"type":"numeric_atoms","value":6333,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2998,"base":11}}}}},"used_operators":["YbUVn0Rbpy","OXDGMFPWZM","6SnOT2rOjz","CzM2PEoXns","vg4gO5BX6G","7YooWSwCyH","tXD093vOjl","8cLx32lpNA","UMwdvZNt44","xlXykHWxX1","w2537kitQq","SR5kFfdi6N","GjBEYRfMaF","ruOEQAzv1W"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","dWAJyo7jo9","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⋰*⋻-4","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5260","layer":4},{"info":"compute unary expreesion, input=5260, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=2021","layer":4},{"info":"number node, value=5521","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=5521, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2021","layer":3},{"info":"number node, value=6537","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=6537, right_input=2515, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2021, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9115","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9115, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=1322","layer":4},{"info":"number node, value=3561","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=3561, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=4860","layer":4},{"info":"number node, value=3633","layer":4},{"info":"compute binary expreesion, left_input=4860, right_input=3633, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-670, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-163","layer":2},{"info":"number node, value=1746","layer":4},{"info":"number node, value=6333","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=6333, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2998","layer":4},{"info":"compute unary expreesion, input=2998, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2725","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-2725, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-6488","layer":2},{"info":"compute binary expreesion, left_input=-163, right_input=-6488, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-163","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-163, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-4","layer":0}],"base":11,"result_base":11,"text":"(((⇋⊎⋝⋰*⋻3A52)⫠)⊍⩺⋍(⋰*⋻1578∪⫐⋰*⋻416A)⊨(⋰*⋻4A03∖⋰*⋻1987))⋛(⋰*⋻AA2⫢⨠⋰*⋻2748)⇡⇂(⋰*⋻3719∛⋰*⋻2803)∌(⋰*⋻1348⪔⋰*⋻4838↱(↔⋰*⋻2286))=⋰*⋻-4","reverse_text":"⋰*⋻-4=(((⇋⊎⋝⋰*⋻3A52)⫠)⊍⩺⋍(⋰*⋻1578∪⫐⋰*⋻416A)⊨(⋰*⋻4A03∖⋰*⋻1987))⋛(⋰*⋻AA2⫢⨠⋰*⋻2748)⇡⇂(⋰*⋻3719∛⋰*⋻2803)∌(⋰*⋻1348⪔⋰*⋻4838↱(↔⋰*⋻2286))","cot":[{"info":"⇋⊎⋝⋰*⋻3A52=NaN","layer":3},{"info":"NaN⫠=⋰*⋻0","layer":2},{"info":"⋰*⋻1578∪⫐⋰*⋻416A=⋰*⋻1578","layer":3},{"info":"⋰*⋻4A03∖⋰*⋻1987=⋰*⋻0","layer":3},{"info":"⋰*⋻1578⊨⋰*⋻0=⋰*⋻6937","layer":2},{"info":"⋰*⋻0⊍⩺⋍⋰*⋻6937=NaN","layer":1},{"info":"⋰*⋻AA2⫢⨠⋰*⋻2748=⋰*⋻136","layer":3},{"info":"⋰*⋻3719∛⋰*⋻2803=⋰*⋻-55A","layer":3},{"info":"⋰*⋻136⇡⇂⋰*⋻-55A=⋰*⋻-139","layer":2},{"info":"⋰*⋻1348⪔⋰*⋻4838=⋰*⋻37A","layer":3},{"info":"↔⋰*⋻2286=⋰*⋻-2058","layer":3},{"info":"⋰*⋻37A↱⋰*⋻-2058=⋰*⋻-4969","layer":2},{"info":"⋰*⋻-139∌⋰*⋻-4969=⋰*⋻-139","layer":1},{"info":"NaN⋛⋰*⋻-139=⋰*⋻-4","layer":0}]}
{"id":274,"expression_no_base_symbol":"($7271$⩒⫫$1001$⇄($1000$⨁⊸⫻))⊲⩕⊾($3529$≀⫉$2760$)⩼⇪↪($1058$⪥$1338$)⩹($1489$≎⪠$1005$⋹⋡⊁($2811$≀⫉$1336$)⊬⫿⊭)","expression":"(⋰*⋻5510⩒⫫⋰*⋻830⇄(⋰*⋻82A⨁⊸⫻))⊲⩕⊾(⋰*⋻2719≀⫉⋰*⋻208A)⩼⇪↪(⋰*⋻882⪥⋰*⋻1007)⩹(⋰*⋻1134≎⪠⋰*⋻834⋹⋡⊁(⋰*⋻2126≀⫉⋰*⋻1005)⊬⫿⊭)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":82087,"operation_count":12,"complexity_ratio":6840.583333333333,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":7271,"base":11},"right_expr":{"type":"numeric_atoms","value":1001,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1000,"base":11}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3529,"base":11},"right_expr":{"type":"numeric_atoms","value":2760,"base":11}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1058,"base":11},"right_expr":{"type":"numeric_atoms","value":1338,"base":11}}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1489,"base":11},"right_expr":{"type":"numeric_atoms","value":1005,"base":11}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2811,"base":11},"right_expr":{"type":"numeric_atoms","value":1336,"base":11}}}}},"used_operators":["2Wsdkap16l","DmTXOeWf9t","3EYGwJThht","KFSx94NKJn","glklzrTFfD","ocnLzx9CaJ","oZj3VtZNQx","QbnwKVWMIQ","v0DYgG9ikt","As8RqfVLgs","aNhz54LH3e"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⋰*⋻-8064","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7271","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=7271, right_input=1001, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=6969","layer":3},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1000","layer":3},{"info":"compute binary expreesion, left_input=6969, right_input=1000, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=3529","layer":4},{"info":"number node, value=2760","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=2760, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1338, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=8884","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=8884, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-57327","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-57327, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=1155070","layer":1},{"info":"number node, value=1489","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=1005, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2811","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=2811, right_input=1336, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=2822, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3572","layer":2},{"info":"compute unary expreesion, input=3572, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-10716","layer":1},{"info":"compute binary expreesion, left_input=1155070, right_input=-10716, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-10718","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5510⩒⫫⋰*⋻830⇄(⋰*⋻82A⨁⊸⫻))⊲⩕⊾(⋰*⋻2719≀⫉⋰*⋻208A)⩼⇪↪(⋰*⋻882⪥⋰*⋻1007)⩹(⋰*⋻1134≎⪠⋰*⋻834⋹⋡⊁(⋰*⋻2126≀⫉⋰*⋻1005)⊬⫿⊭)=⋰*⋻-8064","reverse_text":"⋰*⋻-8064=(⋰*⋻5510⩒⫫⋰*⋻830⇄(⋰*⋻82A⨁⊸⫻))⊲⩕⊾(⋰*⋻2719≀⫉⋰*⋻208A)⩼⇪↪(⋰*⋻882⪥⋰*⋻1007)⩹(⋰*⋻1134≎⪠⋰*⋻834⋹⋡⊁(⋰*⋻2126≀⫉⋰*⋻1005)⊬⫿⊭)","cot":[{"info":"⋰*⋻5510⩒⫫⋰*⋻830=⋰*⋻5266","layer":3},{"info":"⋰*⋻82A⨁⊸⫻=⋰*⋻82A","layer":3},{"info":"⋰*⋻5266⇄⋰*⋻82A=⋰*⋻0","layer":2},{"info":"⋰*⋻2719≀⫉⋰*⋻208A=⋰*⋻2136","layer":3},{"info":"⋰*⋻882⪥⋰*⋻1007=⋰*⋻6747","layer":3},{"info":"⋰*⋻2136⩼⇪↪⋰*⋻6747=⋰*⋻-3A086","layer":2},{"info":"⋰*⋻0⊲⩕⊾⋰*⋻-3A086=⋰*⋻719904","layer":1},{"info":"⋰*⋻1134≎⪠⋰*⋻834=⋰*⋻13770","layer":3},{"info":"⋰*⋻2126≀⫉⋰*⋻1005=⋰*⋻2136","layer":3},{"info":"⋰*⋻13770⋹⋡⊁⋰*⋻2136=⋰*⋻2758","layer":2},{"info":"⋰*⋻2758⊬⫿⊭=⋰*⋻-8062","layer":1},{"info":"⋰*⋻719904⩹⋰*⋻-8062=⋰*⋻-8064","layer":0}]}
{"id":275,"expression_no_base_symbol":"(($1776$∠↢$3629$)≚⊃≕$4427$⊋$3738$∝($6779$∛$1943$)⩦($1925$≭$2333$))⩖⊿(⊙↵-($5950$⪢$2458$≀⫉($1348$≬⇓$3849$)))","expression":"((⋰*⋻1375∠↢⋰*⋻27AA)≚⊃≕⋰*⋻3365⊋⋰*⋻2899∝(⋰*⋻5103∛⋰*⋻1507)⩦(⋰*⋻14A0≭⋰*⋻1831))⩖⊿(⊙↵-(⋰*⋻451A⪢⋰*⋻1935≀⫉(⋰*⋻1016≬⇓⋰*⋻298A)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4419,"operation_count":12,"complexity_ratio":368.25,"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":1776,"base":11},"right_expr":{"type":"numeric_atoms","value":3629,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4427,"base":11},"right_expr":{"type":"numeric_atoms","value":3738,"base":11}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":6779,"base":11},"right_expr":{"type":"numeric_atoms","value":1943,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1925,"base":11},"right_expr":{"type":"numeric_atoms","value":2333,"base":11}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5950,"base":11},"right_expr":{"type":"numeric_atoms","value":2458,"base":11}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1348,"base":11},"right_expr":{"type":"numeric_atoms","value":3849,"base":11}}}}},"used_operators":["RZ5CV9rWsJ","cTDWOvIxvz","Bmrmz2XGnR","KbjG8mgYpV","W4tP9CfskL","0kmYd0q39Y","w2537kitQq","rxpJgHHUmx","oWn0xqSxBt","oZj3VtZNQx","dWAJyo7jo9","jWTQ2TZYIH"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","k8jYdgA6NY","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1776","layer":4},{"info":"number node, value=3629","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=3629, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-56828","layer":3},{"info":"number node, value=4427","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=4427, right_input=3738, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=21301280","layer":3},{"info":"compute binary expreesion, left_input=-56828, right_input=21301280, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=42375082","layer":2},{"info":"number node, value=6779","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=6779, right_input=1943, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=2333, 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=-670, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=42375082, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"number node, value=5950","layer":4},{"info":"number node, value=2458","layer":4},{"info":"compute binary expreesion, left_input=5950, right_input=2458, 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=1348","layer":4},{"info":"number node, value=3849","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=3849, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', 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=nan, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1375∠↢⋰*⋻27AA)≚⊃≕⋰*⋻3365⊋⋰*⋻2899∝(⋰*⋻5103∛⋰*⋻1507)⩦(⋰*⋻14A0≭⋰*⋻1831))⩖⊿(⊙↵-(⋰*⋻451A⪢⋰*⋻1935≀⫉(⋰*⋻1016≬⇓⋰*⋻298A)))=NaN","reverse_text":"NaN=((⋰*⋻1375∠↢⋰*⋻27AA)≚⊃≕⋰*⋻3365⊋⋰*⋻2899∝(⋰*⋻5103∛⋰*⋻1507)⩦(⋰*⋻14A0≭⋰*⋻1831))⩖⊿(⊙↵-(⋰*⋻451A⪢⋰*⋻1935≀⫉(⋰*⋻1016≬⇓⋰*⋻298A)))","cot":[{"info":"⋰*⋻1375∠↢⋰*⋻27AA=⋰*⋻-39772","layer":3},{"info":"⋰*⋻3365⊋⋰*⋻2899=⋰*⋻11029A70","layer":3},{"info":"⋰*⋻-39772≚⊃≕⋰*⋻11029A70=⋰*⋻21A13032","layer":2},{"info":"⋰*⋻5103∛⋰*⋻1507=⋰*⋻-55A","layer":3},{"info":"⋰*⋻14A0≭⋰*⋻1831=NaN","layer":3},{"info":"⋰*⋻-55A⩦NaN=NaN","layer":2},{"info":"⋰*⋻21A13032∝NaN=NaN","layer":1},{"info":"⋰*⋻451A⪢⋰*⋻1935=NaN","layer":3},{"info":"⋰*⋻1016≬⇓⋰*⋻298A=⋰*⋻-20","layer":3},{"info":"NaN≀⫉⋰*⋻-20=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"NaN⩖⊿NaN=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"($2566$⊍)≁↽≥(∟⋨$1090$)≌(⫵↿$2168$⪝$1134$)⋻⩜⩜(($1399$⪃⊛⇣$3155$≬⇓($1065$⩵∡$3491$))⪠⩆⊳)","expression":"(⋰*⋻1A23⊍)≁↽≥(∟⋨⋰*⋻901)≌(⫵↿⋰*⋻16A1⪝⋰*⋻941)⋻⩜⩜((⋰*⋻1062⪃⊛⇣⋰*⋻2409≬⇓(⋰*⋻889⩵∡⋰*⋻2694))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22642,"operation_count":11,"complexity_ratio":2058.3636363636365,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":2566,"base":11}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1090,"base":11}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2168,"base":11},"right_expr":{"type":"numeric_atoms","value":1134,"base":11}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1399,"base":11},"right_expr":{"type":"numeric_atoms","value":3155,"base":11}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1065,"base":11},"right_expr":{"type":"numeric_atoms","value":3491,"base":11}}}}},"used_operators":["oDCm7WA9JY","lyWz822IDG","ncHt1X6cMc","3nqY3DE9mg","ctOc4cKSDt","ivGwdmUAux","wicAB68Tmb","JLbD19bQDL","jWTQ2TZYIH","rrgAzCduG9","Y7wcNGrDQJ"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","oWn0xqSxBt","3Oe9XWJUTD","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","eLAdDNolq6","tmPS8pqC7x","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⋰*⋻13538","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2566","layer":4},{"info":"compute unary expreesion, input=2566, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=6018","layer":3},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-606","layer":3},{"info":"compute binary expreesion, left_input=6018, right_input=-606, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=2168","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=2168, right_input=1134, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-4535","layer":3},{"info":"compute unary expreesion, input=-4535, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=137, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9640","layer":1},{"info":"number node, value=1399","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=3155, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=3491, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1240","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1240, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = 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=9640, right_input=0, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=19280","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1A23⊍)≁↽≥(∟⋨⋰*⋻901)≌(⫵↿⋰*⋻16A1⪝⋰*⋻941)⋻⩜⩜((⋰*⋻1062⪃⊛⇣⋰*⋻2409≬⇓(⋰*⋻889⩵∡⋰*⋻2694))⪠⩆⊳)=⋰*⋻13538","reverse_text":"⋰*⋻13538=(⋰*⋻1A23⊍)≁↽≥(∟⋨⋰*⋻901)≌(⫵↿⋰*⋻16A1⪝⋰*⋻941)⋻⩜⩜((⋰*⋻1062⪃⊛⇣⋰*⋻2409≬⇓(⋰*⋻889⩵∡⋰*⋻2694))⪠⩆⊳)","cot":[{"info":"⋰*⋻1A23⊍=⋰*⋻4581","layer":3},{"info":"∟⋨⋰*⋻901=⋰*⋻-501","layer":3},{"info":"⋰*⋻4581≁↽≥⋰*⋻-501=⋰*⋻169","layer":2},{"info":"⋰*⋻16A1⪝⋰*⋻941=⋰*⋻-3453","layer":3},{"info":"⫵↿⋰*⋻-3453=⋰*⋻115","layer":2},{"info":"⋰*⋻169≌⋰*⋻115=⋰*⋻7274","layer":1},{"info":"⋰*⋻1062⪃⊛⇣⋰*⋻2409=⋰*⋻A22","layer":3},{"info":"⋰*⋻889⩵∡⋰*⋻2694=⋰*⋻A28","layer":3},{"info":"⋰*⋻A22≬⇓⋰*⋻A28=⋰*⋻-20","layer":2},{"info":"⋰*⋻-20⪠⩆⊳=⋰*⋻0","layer":1},{"info":"⋰*⋻7274⋻⩜⩜⋰*⋻0=⋰*⋻13538","layer":0}]}
{"id":277,"expression_no_base_symbol":"(($1192$∛$7503$)⨥⫆($4350$⨟⋌⩍$2234$)/(⊖($8163$⪠⩆⊳)))⩉⊫⨁","expression":"((⋰*⋻994∛⋰*⋻5701)⨥⫆(⋰*⋻32A5⨟⋌⩍⋰*⋻1751)/(⊖(⋰*⋻6151⪠⩆⊳)))⩉⊫⨁","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":124,"operation_count":7,"complexity_ratio":17.714285714285715,"tree":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1192,"base":11},"right_expr":{"type":"numeric_atoms","value":7503,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4350,"base":11},"right_expr":{"type":"numeric_atoms","value":2234,"base":11}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8163,"base":11}}}}},"used_operators":["7qqUquhhSb","XhwjNDsVaA","yXekIHxTD4","w2537kitQq","rGHVDoGpnC","U6pG0PXrV3","JLbD19bQDL"],"dependent_operators":["7j4O788W3g","rysDP5nf3Z","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Tcnh7f0tEr","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1192","layer":4},{"info":"number node, value=7503","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=7503, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=4350","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=4350, right_input=2234, 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=-670, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"number node, value=8163","layer":4},{"info":"compute unary expreesion, input=8163, 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 = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻994∛⋰*⋻5701)⨥⫆(⋰*⋻32A5⨟⋌⩍⋰*⋻1751)/(⊖(⋰*⋻6151⪠⩆⊳)))⩉⊫⨁=NaN","reverse_text":"NaN=((⋰*⋻994∛⋰*⋻5701)⨥⫆(⋰*⋻32A5⨟⋌⩍⋰*⋻1751)/(⊖(⋰*⋻6151⪠⩆⊳)))⩉⊫⨁","cot":[{"info":"⋰*⋻994∛⋰*⋻5701=⋰*⋻-55A","layer":3},{"info":"⋰*⋻32A5⨟⋌⩍⋰*⋻1751=NaN","layer":3},{"info":"⋰*⋻-55A⨥⫆NaN=NaN","layer":2},{"info":"⋰*⋻6151⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⊖⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN/⋰*⋻0=NaN","layer":1},{"info":"NaN⩉⊫⨁=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"(($1679$⩒⫫$2527$)⪛($3200$⫒⫫$5269$)⪉⨛($4484$≑≱⪘)⨟⋌⩍(⋠∜$2513$))⇤(⪁⇼($1108$⩣⫁∢$1232$↯⫤))","expression":"((⋰*⋻1297⩒⫫⋰*⋻1998)⪛(⋰*⋻244A⫒⫫⋰*⋻3A60)⪉⨛(⋰*⋻3407≑≱⪘)⨟⋌⩍(⋠∜⋰*⋻1985))⇤(⪁⇼(⋰*⋻918⩣⫁∢⋰*⋻A20↯⫤))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":245,"operation_count":11,"complexity_ratio":22.272727272727273,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1679,"base":11},"right_expr":{"type":"numeric_atoms","value":2527,"base":11}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3200,"base":11},"right_expr":{"type":"numeric_atoms","value":5269,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":4484,"base":11}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2513,"base":11}}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1108,"base":11},"right_expr":{"type":"numeric_atoms","value":1232,"base":11}}}}},"used_operators":["YSKBFp38Pu","EWw2JM7wp4","uFcxV4UQCh","KFSx94NKJn","6Ko8hGgeMq","rGHVDoGpnC","tGSeddj7UK","ZJpFhNJr3x","ZNVVrZ94lY","VwlE7vj6HS","JDUIKTTSIa"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Tcnh7f0tEr","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=2527, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1377","layer":3},{"info":"number node, value=3200","layer":4},{"info":"number node, value=5269","layer":4},{"info":"compute binary expreesion, left_input=3200, right_input=5269, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1377, 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=4484","layer":4},{"info":"compute unary expreesion, input=4484, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=112949","layer":3},{"info":"number node, value=2513","layer":4},{"info":"compute unary expreesion, input=2513, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=12336","layer":3},{"info":"compute binary expreesion, left_input=112949, right_input=12336, 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 = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1232, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2055","layer":3},{"info":"compute unary expreesion, input=-2055, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=4110","layer":2},{"info":"compute unary expreesion, input=4110, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=422, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1297⩒⫫⋰*⋻1998)⪛(⋰*⋻244A⫒⫫⋰*⋻3A60)⪉⨛(⋰*⋻3407≑≱⪘)⨟⋌⩍(⋠∜⋰*⋻1985))⇤(⪁⇼(⋰*⋻918⩣⫁∢⋰*⋻A20↯⫤))=NaN","reverse_text":"NaN=((⋰*⋻1297⩒⫫⋰*⋻1998)⪛(⋰*⋻244A⫒⫫⋰*⋻3A60)⪉⨛(⋰*⋻3407≑≱⪘)⨟⋌⩍(⋠∜⋰*⋻1985))⇤(⪁⇼(⋰*⋻918⩣⫁∢⋰*⋻A20↯⫤))","cot":[{"info":"⋰*⋻1297⩒⫫⋰*⋻1998=⋰*⋻1042","layer":3},{"info":"⋰*⋻244A⫒⫫⋰*⋻3A60=NaN","layer":3},{"info":"⋰*⋻1042⪛NaN=NaN","layer":2},{"info":"⋰*⋻3407≑≱⪘=⋰*⋻77951","layer":3},{"info":"⋠∜⋰*⋻1985=⋰*⋻92A5","layer":3},{"info":"⋰*⋻77951⨟⋌⩍⋰*⋻92A5=NaN","layer":2},{"info":"NaN⪉⨛NaN=NaN","layer":1},{"info":"⋰*⋻918⩣⫁∢⋰*⋻A20=⋰*⋻-15A9","layer":3},{"info":"⋰*⋻-15A9↯⫤=⋰*⋻30A7","layer":2},{"info":"⪁⇼⋰*⋻30A7=⋰*⋻354","layer":1},{"info":"NaN⇤⋰*⋻354=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"((($6475$⪷)⫢⨠($2202$⇮⋭$5673$))⪥(($3855$≀⩗∶$1446$)≨(↥≼⋛$4484$)))⫯⪬∳((⫟(⫵↿$3948$))⫚↹⊑($2827$⩘$7585$)≨($1081$⇄$1313$))","expression":"(((⋰*⋻4957⪷)⫢⨠(⋰*⋻1722⇮⋭⋰*⋻4298))⪥((⋰*⋻2995≀⩗∶⋰*⋻10A5)≨(↥≼⋛⋰*⋻3407)))⫯⪬∳((⫟(⫵↿⋰*⋻2A6A))⫚↹⊑(⋰*⋻2140⩘⋰*⋻5776)≨(⋰*⋻8A3⇄⋰*⋻A94))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6959,"operation_count":14,"complexity_ratio":497.07142857142856,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":6475,"base":11}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2202,"base":11},"right_expr":{"type":"numeric_atoms","value":5673,"base":11}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3855,"base":11},"right_expr":{"type":"numeric_atoms","value":1446,"base":11}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":4484,"base":11}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":3948,"base":11}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2827,"base":11},"right_expr":{"type":"numeric_atoms","value":7585,"base":11}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":1313,"base":11}}}}},"used_operators":["d7ASUq0ydm","QbnwKVWMIQ","xlXykHWxX1","Qctrpi3WzA","vkpjKywKVM","0KMCeP1Jsh","8INZBEW696","x5lMkHmzsq","dfKe02y8D2","z4E1FaHLuy","ivGwdmUAux","cHh1gJQ2o6","3EYGwJThht"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Nsiff2A1zJ","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6475","layer":4},{"info":"compute unary expreesion, input=6475, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=5673","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=5673, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=3855","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=3855, right_input=1446, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=4484","layer":4},{"info":"compute unary expreesion, input=4484, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-113, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2476, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":1},{"info":"number node, value=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute unary expreesion, input=137, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=496","layer":2},{"info":"number node, value=2827","layer":4},{"info":"number node, value=7585","layer":4},{"info":"compute binary expreesion, left_input=2827, right_input=7585, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1313, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=876","layer":2},{"info":"compute binary expreesion, left_input=496, right_input=876, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻4957⪷)⫢⨠(⋰*⋻1722⇮⋭⋰*⋻4298))⪥((⋰*⋻2995≀⩗∶⋰*⋻10A5)≨(↥≼⋛⋰*⋻3407)))⫯⪬∳((⫟(⫵↿⋰*⋻2A6A))⫚↹⊑(⋰*⋻2140⩘⋰*⋻5776)≨(⋰*⋻8A3⇄⋰*⋻A94))=NaN","reverse_text":"NaN=(((⋰*⋻4957⪷)⫢⨠(⋰*⋻1722⇮⋭⋰*⋻4298))⪥((⋰*⋻2995≀⩗∶⋰*⋻10A5)≨(↥≼⋛⋰*⋻3407)))⫯⪬∳((⫟(⫵↿⋰*⋻2A6A))⫚↹⊑(⋰*⋻2140⩘⋰*⋻5776)≨(⋰*⋻8A3⇄⋰*⋻A94))","cot":[{"info":"⋰*⋻4957⪷=NaN","layer":3},{"info":"⋰*⋻1722⇮⋭⋰*⋻4298=⋰*⋻-3A0","layer":3},{"info":"NaN⫢⨠⋰*⋻-3A0=NaN","layer":2},{"info":"⋰*⋻2995≀⩗∶⋰*⋻10A5=⋰*⋻0","layer":3},{"info":"↥≼⋛⋰*⋻3407=⋰*⋻-A3","layer":3},{"info":"⋰*⋻0≨⋰*⋻-A3=⋰*⋻1951","layer":2},{"info":"NaN⪥⋰*⋻1951=NaN","layer":1},{"info":"⫵↿⋰*⋻2A6A=⋰*⋻115","layer":3},{"info":"⫟⋰*⋻115=⋰*⋻411","layer":2},{"info":"⋰*⋻2140⩘⋰*⋻5776=⋰*⋻136","layer":3},{"info":"⋰*⋻8A3⇄⋰*⋻A94=⋰*⋻0","layer":3},{"info":"⋰*⋻136≨⋰*⋻0=⋰*⋻727","layer":2},{"info":"⋰*⋻411⫚↹⊑⋰*⋻727=⋰*⋻-377","layer":1},{"info":"NaN⫯⪬∳⋰*⋻-377=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"(((⪁⇼$1043$)⪔(↥≼⋛$1021$))⫠)⨻⩈⩔(($4026$⫦⪉$5707$)⊕∕($7344$⋻⩜⩜$1217$)⪉⨛(⇖⫷⫕$1928$∛$2812$))","expression":"(((⪁⇼⋰*⋻869)⪔(↥≼⋛⋰*⋻849))⫠)⨻⩈⩔((⋰*⋻3030⫦⪉⋰*⋻4319)⊕∕(⋰*⋻5577⋻⩜⩜⋰*⋻A07)⪉⨛(⇖⫷⫕⋰*⋻14A3∛⋰*⋻2127))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24588,"operation_count":11,"complexity_ratio":2235.2727272727275,"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":1043,"base":11}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1021,"base":11}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4026,"base":11},"right_expr":{"type":"numeric_atoms","value":5707,"base":11}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":7344,"base":11},"right_expr":{"type":"numeric_atoms","value":1217,"base":11}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1928,"base":11},"right_expr":{"type":"numeric_atoms","value":2812,"base":11}}}}},"used_operators":["nEsXyWgiOK","6SnOT2rOjz","GjBEYRfMaF","ZNVVrZ94lY","x5lMkHmzsq","EWw2JM7wp4","9cloC0Ngie","wscyQdcy20","oDCm7WA9JY","UHmRx3INFg","w2537kitQq"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=-113, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute unary expreesion, input=450, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"number node, value=4026","layer":4},{"info":"number node, value=5707","layer":4},{"info":"compute binary expreesion, left_input=4026, right_input=5707, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3152","layer":3},{"info":"number node, value=7344","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=7344, right_input=1217, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=14688","layer":3},{"info":"compute binary expreesion, left_input=-3152, right_input=14688, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-3152","layer":2},{"info":"number node, value=1928","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=2812, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-3152, right_input=2822, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-17707","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-17707, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":11,"result_base":11,"text":"(((⪁⇼⋰*⋻869)⪔(↥≼⋛⋰*⋻849))⫠)⨻⩈⩔((⋰*⋻3030⫦⪉⋰*⋻4319)⊕∕(⋰*⋻5577⋻⩜⩜⋰*⋻A07)⪉⨛(⇖⫷⫕⋰*⋻14A3∛⋰*⋻2127))=⋰*⋻-149","reverse_text":"⋰*⋻-149=(((⪁⇼⋰*⋻869)⪔(↥≼⋛⋰*⋻849))⫠)⨻⩈⩔((⋰*⋻3030⫦⪉⋰*⋻4319)⊕∕(⋰*⋻5577⋻⩜⩜⋰*⋻A07)⪉⨛(⇖⫷⫕⋰*⋻14A3∛⋰*⋻2127))","cot":[{"info":"⪁⇼⋰*⋻869=⋰*⋻354","layer":3},{"info":"↥≼⋛⋰*⋻849=⋰*⋻-A3","layer":3},{"info":"⋰*⋻354⪔⋰*⋻-A3=⋰*⋻37A","layer":2},{"info":"⋰*⋻37A⫠=⋰*⋻0","layer":1},{"info":"⋰*⋻3030⫦⪉⋰*⋻4319=⋰*⋻-2406","layer":3},{"info":"⋰*⋻5577⋻⩜⩜⋰*⋻A07=⋰*⋻10043","layer":3},{"info":"⋰*⋻-2406⊕∕⋰*⋻10043=⋰*⋻-2406","layer":2},{"info":"⋰*⋻14A3∛⋰*⋻2127=⋰*⋻-55A","layer":3},{"info":"⇖⫷⫕⋰*⋻-55A=⋰*⋻2136","layer":2},{"info":"⋰*⋻-2406⪉⨛⋰*⋻2136=⋰*⋻-12338","layer":1},{"info":"⋰*⋻0⨻⩈⩔⋰*⋻-12338=⋰*⋻-149","layer":0}]}
{"id":281,"expression_no_base_symbol":"(↥≼⋛(⫯$5244$)⨔⇊($6340$→⨶⪴$3069$))⫡⨏((⊈$4314$↓$1692$)⩟)","expression":"(↥≼⋛(⫯⋰*⋻3A38)⨔⇊(⋰*⋻4844→⨶⪴⋰*⋻2340))⫡⨏((⊈⋰*⋻3272↓⋰*⋻12A9)⩟)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24095,"operation_count":8,"complexity_ratio":3011.875,"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":5244,"base":11}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6340,"base":11},"right_expr":{"type":"numeric_atoms","value":3069,"base":11}}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4314,"base":11},"right_expr":{"type":"numeric_atoms","value":1692,"base":11}}}}},"used_operators":["QMFrweE19q","x5lMkHmzsq","JclMnS0uGI","H6BK1Evt7c","bF6eod5Gvf","fOIeswaMU4","RHru8klgy8","Af076pWI7l"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","12rbrZMWeM","xUOZtlo3hN","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⋰*⋻-3411068","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5244","layer":4},{"info":"compute unary expreesion, input=5244, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-205460","layer":3},{"info":"number node, value=6340","layer":4},{"info":"number node, value=3069","layer":4},{"info":"compute binary expreesion, left_input=6340, right_input=3069, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-9207","layer":3},{"info":"compute binary expreesion, left_input=-205460, right_input=-9207, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-1195811","layer":2},{"info":"compute unary expreesion, input=-1195811, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-1195778","layer":1},{"info":"number node, value=4314","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=4314, right_input=1692, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-40","layer":2},{"info":"compute unary expreesion, input=-40, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=1587","layer":1},{"info":"compute binary expreesion, left_input=-1195778, right_input=1587, 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=-5974933","layer":0}],"base":11,"result_base":11,"text":"(↥≼⋛(⫯⋰*⋻3A38)⨔⇊(⋰*⋻4844→⨶⪴⋰*⋻2340))⫡⨏((⊈⋰*⋻3272↓⋰*⋻12A9)⩟)=⋰*⋻-3411068","reverse_text":"⋰*⋻-3411068=(↥≼⋛(⫯⋰*⋻3A38)⨔⇊(⋰*⋻4844→⨶⪴⋰*⋻2340))⫡⨏((⊈⋰*⋻3272↓⋰*⋻12A9)⩟)","cot":[{"info":"⫯⋰*⋻3A38=⋰*⋻-130402","layer":3},{"info":"⋰*⋻4844→⨶⪴⋰*⋻2340=⋰*⋻-6A10","layer":3},{"info":"⋰*⋻-130402⨔⇊⋰*⋻-6A10=⋰*⋻-747481","layer":2},{"info":"↥≼⋛⋰*⋻-747481=⋰*⋻-747451","layer":1},{"info":"⋰*⋻3272↓⋰*⋻12A9=⋰*⋻-112","layer":3},{"info":"⊈⋰*⋻-112=⋰*⋻-37","layer":2},{"info":"⋰*⋻-37⩟=⋰*⋻1213","layer":1},{"info":"⋰*⋻-747451⫡⨏⋰*⋻1213=⋰*⋻-3411068","layer":0}]}
{"id":282,"expression_no_base_symbol":"(⫎≠⋺($2698$≝⊿$1176$)↢(↑$2490$))⪁$2736$≁$8017$⩚⊴⇥($9027$↺$1916$)⋥≓≎$1234$⫁$1434$⇤($3861$⇼⇔∾$2242$)","expression":"(⫎≠⋺(⋰*⋻2033≝⊿⋰*⋻97A)↢(↑⋰*⋻1964))⪁⋰*⋻2068≁⋰*⋻6029⩚⊴⇥(⋰*⋻6867↺⋰*⋻1492)⋥≓≎⋰*⋻A22⫁⋰*⋻1094⇤(⋰*⋻29A0⇼⇔∾⋰*⋻1759)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42942,"operation_count":12,"complexity_ratio":3578.5,"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":2698,"base":11},"right_expr":{"type":"numeric_atoms","value":1176,"base":11}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2490,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2736,"base":11},"right_expr":{"type":"numeric_atoms","value":8017,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":9027,"base":11},"right_expr":{"type":"numeric_atoms","value":1916,"base":11}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1234,"base":11},"right_expr":{"type":"numeric_atoms","value":1434,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3861,"base":11},"right_expr":{"type":"numeric_atoms","value":2242,"base":11}}}}},"used_operators":["I7sXao9hZE","LYeZOJ0nQG","WR6HLWljOP","OKKcZfAt5B","tR7O2zTn5j","Qy55tPpLXF","NTOWxs364D","8N2wDY1A35","7j4O788W3g","YSKBFp38Pu","0ajvFaJAv0","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","12rbrZMWeM","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2698","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=1176, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5583","layer":3},{"info":"number node, value=2490","layer":4},{"info":"compute unary expreesion, input=2490, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-5583, right_input=192, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-10782","layer":2},{"info":"compute unary expreesion, input=-10782, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"number node, value=2736","layer":4},{"info":"number node, value=8017","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=8017, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=179207","layer":3},{"info":"number node, value=9027","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=9027, right_input=1916, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1916","layer":3},{"info":"compute binary expreesion, left_input=179207, right_input=1916, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-181244","layer":2},{"info":"number node, value=1234","layer":4},{"info":"number node, value=1434","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1434, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3861","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=2242, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1619","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1619, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=10143","layer":2},{"info":"compute binary expreesion, left_input=-181244, right_input=10143, 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=-709, right_input=67, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫎≠⋺(⋰*⋻2033≝⊿⋰*⋻97A)↢(↑⋰*⋻1964))⪁⋰*⋻2068≁⋰*⋻6029⩚⊴⇥(⋰*⋻6867↺⋰*⋻1492)⋥≓≎⋰*⋻A22⫁⋰*⋻1094⇤(⋰*⋻29A0⇼⇔∾⋰*⋻1759)=NaN","reverse_text":"NaN=(⫎≠⋺(⋰*⋻2033≝⊿⋰*⋻97A)↢(↑⋰*⋻1964))⪁⋰*⋻2068≁⋰*⋻6029⩚⊴⇥(⋰*⋻6867↺⋰*⋻1492)⋥≓≎⋰*⋻A22⫁⋰*⋻1094⇤(⋰*⋻29A0⇼⇔∾⋰*⋻1759)","cot":[{"info":"⋰*⋻2033≝⊿⋰*⋻97A=⋰*⋻-4216","layer":3},{"info":"↑⋰*⋻1964=⋰*⋻165","layer":3},{"info":"⋰*⋻-4216↢⋰*⋻165=⋰*⋻-8112","layer":2},{"info":"⫎≠⋺⋰*⋻-8112=⋰*⋻-595","layer":1},{"info":"⋰*⋻2068≁⋰*⋻6029=⋰*⋻112706","layer":3},{"info":"⋰*⋻6867↺⋰*⋻1492=⋰*⋻1492","layer":3},{"info":"⋰*⋻112706⩚⊴⇥⋰*⋻1492=⋰*⋻-114198","layer":2},{"info":"⋰*⋻A22⫁⋰*⋻1094=⋰*⋻136","layer":3},{"info":"⋰*⋻29A0⇼⇔∾⋰*⋻1759=⋰*⋻-1242","layer":3},{"info":"⋰*⋻136⇤⋰*⋻-1242=⋰*⋻7691","layer":2},{"info":"⋰*⋻-114198⋥≓≎⋰*⋻7691=⋰*⋻61","layer":1},{"info":"⋰*⋻-595⪁⋰*⋻61=NaN","layer":0}]}
{"id":283,"expression_no_base_symbol":"(≉(($3695$⫌⩉⩟$2582$)-$5307$↤⩊$1594$))⊮⊟↴((↪⫪⫘$2063$)⫁⪎($1402$⋳⪒$3140$)≹⇙⪍(⨆≐≲$2169$)≝⊿($3168$⪄$3238$))","expression":"(≉((⋰*⋻285A⫌⩉⩟⋰*⋻1A38)-⋰*⋻3A95↤⩊⋰*⋻121A))⊮⊟↴((↪⫪⫘⋰*⋻1606)⫁⪎(⋰*⋻1065⋳⪒⋰*⋻23A5)≹⇙⪍(⨆≐≲⋰*⋻16A2)≝⊿(⋰*⋻2420⪄⋰*⋻2484))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14291,"operation_count":12,"complexity_ratio":1190.9166666666667,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3695,"base":11},"right_expr":{"type":"numeric_atoms","value":2582,"base":11}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5307,"base":11},"right_expr":{"type":"numeric_atoms","value":1594,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2063,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1402,"base":11},"right_expr":{"type":"numeric_atoms","value":3140,"base":11}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2169,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3168,"base":11},"right_expr":{"type":"numeric_atoms","value":3238,"base":11}}}}},"used_operators":["QDVgd2eftb","e1ybzncUwg","rysDP5nf3Z","XIIwhv8d0m","13rbtpv6ld","AHs5Up7iyr","xRrnTEsQ6j","9dWsAM3GFt","12rbrZMWeM","OKKcZfAt5B","Bi9z9uYZqW","SUmda5xLS4"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","12rbrZMWeM","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3695","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=2582, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=5307","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=5307, right_input=1594, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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=2063","layer":4},{"info":"compute unary expreesion, input=2063, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=1402","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=3140, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-623","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-623, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=643","layer":2},{"info":"number node, value=2169","layer":4},{"info":"compute unary expreesion, input=2169, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=23404056","layer":3},{"info":"number node, value=3168","layer":4},{"info":"number node, value=3238","layer":4},{"info":"compute binary expreesion, left_input=3168, right_input=3238, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-477905","layer":3},{"info":"compute binary expreesion, left_input=23404056, right_input=-477905, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-22448779","layer":2},{"info":"compute binary expreesion, left_input=643, right_input=-22448779, 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 = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≉((⋰*⋻285A⫌⩉⩟⋰*⋻1A38)-⋰*⋻3A95↤⩊⋰*⋻121A))⊮⊟↴((↪⫪⫘⋰*⋻1606)⫁⪎(⋰*⋻1065⋳⪒⋰*⋻23A5)≹⇙⪍(⨆≐≲⋰*⋻16A2)≝⊿(⋰*⋻2420⪄⋰*⋻2484))=NaN","reverse_text":"NaN=(≉((⋰*⋻285A⫌⩉⩟⋰*⋻1A38)-⋰*⋻3A95↤⩊⋰*⋻121A))⊮⊟↴((↪⫪⫘⋰*⋻1606)⫁⪎(⋰*⋻1065⋳⪒⋰*⋻23A5)≹⇙⪍(⨆≐≲⋰*⋻16A2)≝⊿(⋰*⋻2420⪄⋰*⋻2484))","cot":[{"info":"⋰*⋻285A⫌⩉⩟⋰*⋻1A38=⋰*⋻-46","layer":3},{"info":"⋰*⋻3A95↤⩊⋰*⋻121A=NaN","layer":3},{"info":"⋰*⋻-46-NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"↪⫪⫘⋰*⋻1606=⋰*⋻19","layer":3},{"info":"⋰*⋻1065⋳⪒⋰*⋻23A5=⋰*⋻-517","layer":3},{"info":"⋰*⋻19⫁⪎⋰*⋻-517=⋰*⋻535","layer":2},{"info":"⨆≐≲⋰*⋻16A2=⋰*⋻122358A5","layer":3},{"info":"⋰*⋻2420⪄⋰*⋻2484=⋰*⋻-2A706A","layer":3},{"info":"⋰*⋻122358A5≝⊿⋰*⋻-2A706A=⋰*⋻-11743111","layer":2},{"info":"⋰*⋻535≹⇙⪍⋰*⋻-11743111=NaN","layer":1},{"info":"NaN⊮⊟↴NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"((↔$3584$)⩇∃⫛($8552$⪨≂$5904$))⩣⫁∢(⊑($3608$⫩⊇))⫲≸⪮($1492$∼$1135$-$6512$∑⇟⊟$7200$)⪛((↥≼⋛$2552$)⋓$6723$⪍↜⋙$2410$)","expression":"((↔⋰*⋻2769)⩇∃⫛(⋰*⋻6475⪨≂⋰*⋻4488))⩣⫁∢(⊑(⋰*⋻2790⫩⊇))⫲≸⪮(⋰*⋻1137∼⋰*⋻942-⋰*⋻4990∑⇟⊟⋰*⋻5456)⪛((↥≼⋛⋰*⋻1A10)⋓⋰*⋻5062⪍↜⋙⋰*⋻18A1)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14341,"operation_count":14,"complexity_ratio":1024.357142857143,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3584,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8552,"base":11},"right_expr":{"type":"numeric_atoms","value":5904,"base":11}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3608,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1492,"base":11},"right_expr":{"type":"numeric_atoms","value":1135,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6512,"base":11},"right_expr":{"type":"numeric_atoms","value":7200,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2552,"base":11}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6723,"base":11},"right_expr":{"type":"numeric_atoms","value":2410,"base":11}}}}},"used_operators":["P3lXMJvFrc","JDUIKTTSIa","1aApVXNlOP","ruOEQAzv1W","sdazOOVcIp","IkUmn0D7oy","BjRHVeLaeN","uFcxV4UQCh","rysDP5nf3Z","DyGG3AbaNP","U7g4x0WXJJ","T2fj7uvVaJ","x5lMkHmzsq","L05ObWFQCd"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⋰*⋻A414","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3584","layer":4},{"info":"compute unary expreesion, input=3584, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3311","layer":3},{"info":"number node, value=8552","layer":4},{"info":"number node, value=5904","layer":4},{"info":"compute binary expreesion, left_input=8552, right_input=5904, 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=5398","layer":3},{"info":"compute binary expreesion, left_input=-3311, right_input=5398, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-3311","layer":2},{"info":"number node, value=3608","layer":4},{"info":"compute unary expreesion, input=3608, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3566","layer":3},{"info":"compute unary expreesion, input=-3566, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=-3311, right_input=192, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=13809","layer":1},{"info":"number node, value=1492","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=1135, 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=6512","layer":4},{"info":"number node, value=7200","layer":4},{"info":"compute binary expreesion, left_input=6512, right_input=7200, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2552","layer":4},{"info":"compute unary expreesion, input=2552, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=6723","layer":4},{"info":"number node, value=2410","layer":4},{"info":"compute binary expreesion, left_input=6723, right_input=2410, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=8626","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=8626, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13809, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=13809","layer":0}],"base":11,"result_base":11,"text":"((↔⋰*⋻2769)⩇∃⫛(⋰*⋻6475⪨≂⋰*⋻4488))⩣⫁∢(⊑(⋰*⋻2790⫩⊇))⫲≸⪮(⋰*⋻1137∼⋰*⋻942-⋰*⋻4990∑⇟⊟⋰*⋻5456)⪛((↥≼⋛⋰*⋻1A10)⋓⋰*⋻5062⪍↜⋙⋰*⋻18A1)=⋰*⋻A414","reverse_text":"⋰*⋻A414=((↔⋰*⋻2769)⩇∃⫛(⋰*⋻6475⪨≂⋰*⋻4488))⩣⫁∢(⊑(⋰*⋻2790⫩⊇))⫲≸⪮(⋰*⋻1137∼⋰*⋻942-⋰*⋻4990∑⇟⊟⋰*⋻5456)⪛((↥≼⋛⋰*⋻1A10)⋓⋰*⋻5062⪍↜⋙⋰*⋻18A1)","cot":[{"info":"↔⋰*⋻2769=⋰*⋻-2540","layer":3},{"info":"⋰*⋻6475⪨≂⋰*⋻4488=⋰*⋻4068","layer":3},{"info":"⋰*⋻-2540⩇∃⫛⋰*⋻4068=⋰*⋻-2540","layer":2},{"info":"⋰*⋻2790⫩⊇=⋰*⋻-2752","layer":3},{"info":"⊑⋰*⋻-2752=⋰*⋻165","layer":2},{"info":"⋰*⋻-2540⩣⫁∢⋰*⋻165=⋰*⋻A414","layer":1},{"info":"⋰*⋻1137∼⋰*⋻942=NaN","layer":3},{"info":"⋰*⋻4990∑⇟⊟⋰*⋻5456=NaN","layer":3},{"info":"NaN-NaN=NaN","layer":2},{"info":"↥≼⋛⋰*⋻1A10=⋰*⋻-A3","layer":3},{"info":"⋰*⋻5062⪍↜⋙⋰*⋻18A1=⋰*⋻6532","layer":3},{"info":"⋰*⋻-A3⋓⋰*⋻6532=⋰*⋻0","layer":2},{"info":"NaN⪛⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻A414⫲≸⪮NaN=⋰*⋻A414","layer":0}]}
{"id":285,"expression_no_base_symbol":"-($1974$⩣⫁∢$4746$∛≔)⪒⊣⊆($1712$⩧⪆$7558$⫔⩽⩺($4308$⫌⩉⩟$5401$))","expression":"-(⋰*⋻1535⩣⫁∢⋰*⋻3625∛≔)⪒⊣⊆(⋰*⋻1317⩧⪆⋰*⋻5751⫔⩽⩺(⋰*⋻3267⫌⩉⩟⋰*⋻4070))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":34952,"operation_count":7,"complexity_ratio":4993.142857142857,"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":1974,"base":11},"right_expr":{"type":"numeric_atoms","value":4746,"base":11}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1712,"base":11},"right_expr":{"type":"numeric_atoms","value":7558,"base":11}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4308,"base":11},"right_expr":{"type":"numeric_atoms","value":5401,"base":11}}}}},"used_operators":["t8gj7n24qd","eRqsBgTDFp","mGnSCrte3L","JDUIKTTSIa","i9eR4S00cU","Ikt5ks8PT7","XIIwhv8d0m"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","eewbuw0ToL","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1974","layer":4},{"info":"number node, value=4746","layer":4},{"info":"compute binary expreesion, left_input=1974, right_input=4746, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3787","layer":3},{"info":"compute unary expreesion, input=-3787, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"number node, value=1712","layer":4},{"info":"number node, value=7558","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=7558, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7558","layer":3},{"info":"number node, value=4308","layer":4},{"info":"number node, value=5401","layer":4},{"info":"compute binary expreesion, left_input=4308, right_input=5401, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-7558, right_input=-50, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-305287, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"-(⋰*⋻1535⩣⫁∢⋰*⋻3625∛≔)⪒⊣⊆(⋰*⋻1317⩧⪆⋰*⋻5751⫔⩽⩺(⋰*⋻3267⫌⩉⩟⋰*⋻4070))=NaN","reverse_text":"NaN=-(⋰*⋻1535⩣⫁∢⋰*⋻3625∛≔)⪒⊣⊆(⋰*⋻1317⩧⪆⋰*⋻5751⫔⩽⩺(⋰*⋻3267⫌⩉⩟⋰*⋻4070))","cot":[{"info":"⋰*⋻1535⩣⫁∢⋰*⋻3625=⋰*⋻-2933","layer":3},{"info":"⋰*⋻-2933∛≔=⋰*⋻-199404","layer":2},{"info":"⋰*⋻1317⩧⪆⋰*⋻5751=⋰*⋻-5751","layer":3},{"info":"⋰*⋻3267⫌⩉⩟⋰*⋻4070=⋰*⋻-46","layer":3},{"info":"⋰*⋻-5751⫔⩽⩺⋰*⋻-46=NaN","layer":2},{"info":"⋰*⋻-199404⪒⊣⊆NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"(⊬↢($2735$⩵∡$6648$))≦↸($2847$⋓$4121$)⨑⩅≇(⫇$3728$)⨭⪣(⨂⪏⇭($2635$*$2204$)⨸($5456$⨐$1324$))","expression":"(⊬↢(⋰*⋻2067⩵∡⋰*⋻4AA4))≦↸(⋰*⋻2159⋓⋰*⋻3107)⨑⩅≇(⫇⋰*⋻288A)⨭⪣(⨂⪏⇭(⋰*⋻1A86*⋰*⋻1724)⨸(⋰*⋻4110⨐⋰*⋻AA4))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9829,"operation_count":11,"complexity_ratio":893.5454545454545,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2735,"base":11},"right_expr":{"type":"numeric_atoms","value":6648,"base":11}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2847,"base":11},"right_expr":{"type":"numeric_atoms","value":4121,"base":11}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":3728,"base":11}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2635,"base":11},"right_expr":{"type":"numeric_atoms","value":2204,"base":11}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5456,"base":11},"right_expr":{"type":"numeric_atoms","value":1324,"base":11}}}}},"used_operators":["kn8WO9XteQ","RygbFNSyEJ","WPoGxAaPR1","Y7wcNGrDQJ","h92wMvzauj","T2fj7uvVaJ","YjI8oCXuph","AYdpE9sXAk","KmoU8R5UQR","9HNa5Wba9A","Noe24qw2ks"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⋰*⋻-1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2735","layer":4},{"info":"number node, value=6648","layer":4},{"info":"compute binary expreesion, left_input=2735, right_input=6648, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1057","layer":3},{"info":"compute unary expreesion, input=1057, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"number node, value=2847","layer":4},{"info":"number node, value=4121","layer":4},{"info":"compute binary expreesion, left_input=2847, right_input=4121, 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=3728","layer":4},{"info":"compute unary expreesion, input=3728, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-6242","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6242, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=245","layer":1},{"info":"number node, value=2635","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=2204, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5807540","layer":3},{"info":"number node, value=5456","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=1324, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-10912","layer":3},{"info":"compute binary expreesion, left_input=5807540, right_input=-10912, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=245, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":0}],"base":11,"result_base":11,"text":"(⊬↢(⋰*⋻2067⩵∡⋰*⋻4AA4))≦↸(⋰*⋻2159⋓⋰*⋻3107)⨑⩅≇(⫇⋰*⋻288A)⨭⪣(⨂⪏⇭(⋰*⋻1A86*⋰*⋻1724)⨸(⋰*⋻4110⨐⋰*⋻AA4))=⋰*⋻-1A","reverse_text":"⋰*⋻-1A=(⊬↢(⋰*⋻2067⩵∡⋰*⋻4AA4))≦↸(⋰*⋻2159⋓⋰*⋻3107)⨑⩅≇(⫇⋰*⋻288A)⨭⪣(⨂⪏⇭(⋰*⋻1A86*⋰*⋻1724)⨸(⋰*⋻4110⨐⋰*⋻AA4))","cot":[{"info":"⋰*⋻2067⩵∡⋰*⋻4AA4=⋰*⋻881","layer":3},{"info":"⊬↢⋰*⋻881=⋰*⋻189","layer":2},{"info":"⋰*⋻2159⋓⋰*⋻3107=⋰*⋻0","layer":3},{"info":"⫇⋰*⋻288A=⋰*⋻-4765","layer":3},{"info":"⋰*⋻0⨑⩅≇⋰*⋻-4765=⋰*⋻0","layer":2},{"info":"⋰*⋻189≦↸⋰*⋻0=⋰*⋻203","layer":1},{"info":"⋰*⋻1A86*⋰*⋻1724=⋰*⋻3307322","layer":3},{"info":"⋰*⋻4110⨐⋰*⋻AA4=⋰*⋻-8220","layer":3},{"info":"⋰*⋻3307322⨸⋰*⋻-8220=NaN","layer":2},{"info":"⨂⪏⇭NaN=NaN","layer":1},{"info":"⋰*⋻203⨭⪣NaN=⋰*⋻-1A","layer":0}]}
{"id":287,"expression_no_base_symbol":"⇙⪊(($6706$⩣⫁∢$1857$↡⊰⫅($1015$⪁$5071$))⨎⋸⪻)","expression":"⇙⪊((⋰*⋻5047⩣⫁∢⋰*⋻1439↡⊰⫅(⋰*⋻843⪁⋰*⋻38A0))⨎⋸⪻)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":639421068,"operation_count":5,"complexity_ratio":127884213.6,"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":6706,"base":11},"right_expr":{"type":"numeric_atoms","value":1857,"base":11}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1015,"base":11},"right_expr":{"type":"numeric_atoms","value":5071,"base":11}}}}},"used_operators":["pB6Fcnrjim","Dk5vyLCiGd","VCtxkLNOzz","JDUIKTTSIa","I7sXao9hZE"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","IWmyXbctLI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6706","layer":4},{"info":"number node, value=1857","layer":4},{"info":"compute binary expreesion, left_input=6706, right_input=1857, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-13251","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=5071","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=5071, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13251, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇙⪊((⋰*⋻5047⩣⫁∢⋰*⋻1439↡⊰⫅(⋰*⋻843⪁⋰*⋻38A0))⨎⋸⪻)=NaN","reverse_text":"NaN=⇙⪊((⋰*⋻5047⩣⫁∢⋰*⋻1439↡⊰⫅(⋰*⋻843⪁⋰*⋻38A0))⨎⋸⪻)","cot":[{"info":"⋰*⋻5047⩣⫁∢⋰*⋻1439=⋰*⋻-9A57","layer":3},{"info":"⋰*⋻843⪁⋰*⋻38A0=NaN","layer":3},{"info":"⋰*⋻-9A57↡⊰⫅NaN=NaN","layer":2},{"info":"NaN⨎⋸⪻=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"(($4954$⫲≸⪮$1219$⋳⪒$4249$≚⊃≕$5683$)⊵↤)≬⋮(($1998$⫯⪬∳$3175$⇷$3135$≠≀$2002$)↠)","expression":"((⋰*⋻37A4⫲≸⪮⋰*⋻A09⋳⪒⋰*⋻3213≚⊃≕⋰*⋻42A7)⊵↤)≬⋮((⋰*⋻1557⫯⪬∳⋰*⋻2427⇷⋰*⋻23A0≠≀⋰*⋻1560)↠)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":100942,"operation_count":9,"complexity_ratio":11215.777777777777,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4954,"base":11},"right_expr":{"type":"numeric_atoms","value":1219,"base":11}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4249,"base":11},"right_expr":{"type":"numeric_atoms","value":5683,"base":11}}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1998,"base":11},"right_expr":{"type":"numeric_atoms","value":3175,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3135,"base":11},"right_expr":{"type":"numeric_atoms","value":2002,"base":11}}}}},"used_operators":["kbkesczE7y","7IPrd9c3lf","12rbrZMWeM","P3lXMJvFrc","Bmrmz2XGnR","LBdsKIvxzf","mp7IySMOzn","d7ASUq0ydm","IwW236VD4Y"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋰*⋻71A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4954","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=1219, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4954","layer":3},{"info":"number node, value=4249","layer":4},{"info":"number node, value=5683","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=5683, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=4954, right_input=67, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9554","layer":2},{"info":"compute unary expreesion, input=9554, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":1},{"info":"number node, value=1998","layer":4},{"info":"number node, value=3175","layer":4},{"info":"compute binary expreesion, left_input=1998, right_input=3175, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6848","layer":3},{"info":"number node, value=3135","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=2002, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5964","layer":3},{"info":"compute binary expreesion, left_input=6848, right_input=-5964, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-447, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻37A4⫲≸⪮⋰*⋻A09⋳⪒⋰*⋻3213≚⊃≕⋰*⋻42A7)⊵↤)≬⋮((⋰*⋻1557⫯⪬∳⋰*⋻2427⇷⋰*⋻23A0≠≀⋰*⋻1560)↠)=⋰*⋻71A","reverse_text":"⋰*⋻71A=((⋰*⋻37A4⫲≸⪮⋰*⋻A09⋳⪒⋰*⋻3213≚⊃≕⋰*⋻42A7)⊵↤)≬⋮((⋰*⋻1557⫯⪬∳⋰*⋻2427⇷⋰*⋻23A0≠≀⋰*⋻1560)↠)","cot":[{"info":"⋰*⋻37A4⫲≸⪮⋰*⋻A09=⋰*⋻37A4","layer":3},{"info":"⋰*⋻3213≚⊃≕⋰*⋻42A7=⋰*⋻61","layer":3},{"info":"⋰*⋻37A4⋳⪒⋰*⋻61=⋰*⋻71A6","layer":2},{"info":"⋰*⋻71A6⊵↤=⋰*⋻61","layer":1},{"info":"⋰*⋻1557⫯⪬∳⋰*⋻2427=⋰*⋻5166","layer":3},{"info":"⋰*⋻23A0≠≀⋰*⋻1560=⋰*⋻-4532","layer":3},{"info":"⋰*⋻5166⇷⋰*⋻-4532=NaN","layer":2},{"info":"NaN↠=⋰*⋻-377","layer":1},{"info":"⋰*⋻61≬⋮⋰*⋻-377=⋰*⋻71A","layer":0}]}
{"id":289,"expression_no_base_symbol":"((↩⪖$6424$)⩹($1169$⊟⇱))⫞⩸⩒($3066$⊠≄⫣)↤⩊($4269$≁$3078$)⨔≚≋($1613$⩼⇪↪$4412$)⨐($2354$+⪬∐$1246$)⇣⩺⋵($3923$⊝⪿⪼$6427$⋥≓≎$2208$⫞⩸⩒$3905$)","expression":"((↩⪖⋰*⋻4910)⩹(⋰*⋻973⊟⇱))⫞⩸⩒(⋰*⋻2338⊠≄⫣)↤⩊(⋰*⋻3231≁⋰*⋻2349)⨔≚≋(⋰*⋻1237⩼⇪↪⋰*⋻3351)⨐(⋰*⋻1850+⪬∐⋰*⋻A33)⇣⩺⋵(⋰*⋻2A47⊝⪿⪼⋰*⋻4913⋥≓≎⋰*⋻1728⫞⩸⩒⋰*⋻2A30)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":449,"operation_count":15,"complexity_ratio":29.933333333333334,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":6424,"base":11}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1169,"base":11}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3066,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4269,"base":11},"right_expr":{"type":"numeric_atoms","value":3078,"base":11}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1613,"base":11},"right_expr":{"type":"numeric_atoms","value":4412,"base":11}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2354,"base":11},"right_expr":{"type":"numeric_atoms","value":1246,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3923,"base":11},"right_expr":{"type":"numeric_atoms","value":6427,"base":11}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2208,"base":11},"right_expr":{"type":"numeric_atoms","value":3905,"base":11}}}}},"used_operators":["Z57zeUYC9z","XGcMNugi78","2Wsdkap16l","fG6uBQFnGz","03sUfWo75k","13rbtpv6ld","DIvbN7qnHd","8N2wDY1A35","F4yD0voBRQ","Noe24qw2ks","ocnLzx9CaJ","2GS7woTJqF","Qy55tPpLXF","3Oe9XWJUTD"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","IWmyXbctLI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⋰*⋻7465","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6424","layer":4},{"info":"compute unary expreesion, input=6424, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-41526","layer":3},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=2654","layer":3},{"info":"compute binary expreesion, left_input=-41526, right_input=2654, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2652","layer":2},{"info":"number node, value=3066","layer":4},{"info":"compute unary expreesion, input=3066, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4269","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=4269, right_input=3078, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=60671","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=60671, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2652, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2652","layer":1},{"info":"number node, value=1613","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=4412, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-28441","layer":3},{"info":"number node, value=2354","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=1246, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7062","layer":3},{"info":"compute binary expreesion, left_input=-28441, right_input=-7062, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=56882","layer":2},{"info":"number node, value=3923","layer":4},{"info":"number node, value=6427","layer":4},{"info":"compute binary expreesion, left_input=3923, right_input=6427, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=68777","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=3905","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=3905, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3905","layer":3},{"info":"compute binary expreesion, left_input=68777, right_input=3905, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-60934","layer":2},{"info":"compute binary expreesion, left_input=56882, right_input=-60934, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=2652, right_input=-260, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":11,"result_base":11,"text":"((↩⪖⋰*⋻4910)⩹(⋰*⋻973⊟⇱))⫞⩸⩒(⋰*⋻2338⊠≄⫣)↤⩊(⋰*⋻3231≁⋰*⋻2349)⨔≚≋(⋰*⋻1237⩼⇪↪⋰*⋻3351)⨐(⋰*⋻1850+⪬∐⋰*⋻A33)⇣⩺⋵(⋰*⋻2A47⊝⪿⪼⋰*⋻4913⋥≓≎⋰*⋻1728⫞⩸⩒⋰*⋻2A30)=⋰*⋻7465","reverse_text":"⋰*⋻7465=((↩⪖⋰*⋻4910)⩹(⋰*⋻973⊟⇱))⫞⩸⩒(⋰*⋻2338⊠≄⫣)↤⩊(⋰*⋻3231≁⋰*⋻2349)⨔≚≋(⋰*⋻1237⩼⇪↪⋰*⋻3351)⨐(⋰*⋻1850+⪬∐⋰*⋻A33)⇣⩺⋵(⋰*⋻2A47⊝⪿⪼⋰*⋻4913⋥≓≎⋰*⋻1728⫞⩸⩒⋰*⋻2A30)","cot":[{"info":"↩⪖⋰*⋻4910=⋰*⋻-29221","layer":3},{"info":"⋰*⋻973⊟⇱=⋰*⋻1AA3","layer":3},{"info":"⋰*⋻-29221⩹⋰*⋻1AA3=⋰*⋻1AA1","layer":2},{"info":"⋰*⋻2338⊠≄⫣=⋰*⋻0","layer":3},{"info":"⋰*⋻3231≁⋰*⋻2349=⋰*⋻41646","layer":3},{"info":"⋰*⋻0↤⩊⋰*⋻41646=NaN","layer":2},{"info":"⋰*⋻1AA1⫞⩸⩒NaN=⋰*⋻1AA1","layer":1},{"info":"⋰*⋻1237⩼⇪↪⋰*⋻3351=⋰*⋻-1A406","layer":3},{"info":"⋰*⋻1850+⪬∐⋰*⋻A33=⋰*⋻-5340","layer":3},{"info":"⋰*⋻-1A406⨐⋰*⋻-5340=⋰*⋻39811","layer":2},{"info":"⋰*⋻2A47⊝⪿⪼⋰*⋻4913=⋰*⋻47745","layer":3},{"info":"⋰*⋻1728⫞⩸⩒⋰*⋻2A30=⋰*⋻2A30","layer":3},{"info":"⋰*⋻47745⋥≓≎⋰*⋻2A30=⋰*⋻-41865","layer":2},{"info":"⋰*⋻39811⇣⩺⋵⋰*⋻-41865=⋰*⋻-217","layer":1},{"info":"⋰*⋻1AA1⨔≚≋⋰*⋻-217=⋰*⋻7465","layer":0}]}
{"id":290,"expression_no_base_symbol":"(⇠$1051$⇤$7967$⨼⩣($7161$⪢$4805$))∕⩚($2566$⋻⩜⩜$6367$)⊕∕($2489$⨓$1212$)⪟⇏(⋠∜$1371$)⇂≾⫗$2148$⇻⋧≁$2826$","expression":"(⇠⋰*⋻876⇤⋰*⋻5A93⨼⩣(⋰*⋻5420⪢⋰*⋻3679))∕⩚(⋰*⋻1A23⋻⩜⩜⋰*⋻4869)⊕∕(⋰*⋻1963⨓⋰*⋻A02)⪟⇏(⋠∜⋰*⋻1037)⇂≾⫗⋰*⋻1683⇻⋧≁⋰*⋻213A","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":98073,"operation_count":12,"complexity_ratio":8172.75,"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":1051,"base":11},"right_expr":{"type":"numeric_atoms","value":7967,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7161,"base":11},"right_expr":{"type":"numeric_atoms","value":4805,"base":11}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2566,"base":11},"right_expr":{"type":"numeric_atoms","value":6367,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2489,"base":11},"right_expr":{"type":"numeric_atoms","value":1212,"base":11}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1371,"base":11}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2148,"base":11},"right_expr":{"type":"numeric_atoms","value":2826,"base":11}}}}},"used_operators":["z9ffQ9n5Zr","18saOjeKKm","JxwMv5le6e","YSKBFp38Pu","dWAJyo7jo9","GODebY97qR","9cloC0Ngie","oDCm7WA9JY","3ViojmjbAp","aBQ6xLxuTc","ZJpFhNJr3x","jCPkEVoL5K"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","k8jYdgA6NY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⋰*⋻-403","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"number node, value=7967","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=7967, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-42242","layer":3},{"info":"number node, value=7161","layer":4},{"info":"number node, value=4805","layer":4},{"info":"compute binary expreesion, left_input=7161, right_input=4805, 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=-42242, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"number node, value=2566","layer":4},{"info":"number node, value=6367","layer":4},{"info":"compute binary expreesion, left_input=2566, right_input=6367, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5132","layer":3},{"info":"number node, value=2489","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=2489, right_input=1212, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1215","layer":3},{"info":"compute binary expreesion, left_input=5132, right_input=-1215, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5132","layer":2},{"info":"number node, value=1371","layer":4},{"info":"compute unary expreesion, input=1371, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7768","layer":3},{"info":"number node, value=2148","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=2826, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=7768, right_input=-447, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=5132, right_input=-676, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":11,"result_base":11,"text":"(⇠⋰*⋻876⇤⋰*⋻5A93⨼⩣(⋰*⋻5420⪢⋰*⋻3679))∕⩚(⋰*⋻1A23⋻⩜⩜⋰*⋻4869)⊕∕(⋰*⋻1963⨓⋰*⋻A02)⪟⇏(⋠∜⋰*⋻1037)⇂≾⫗⋰*⋻1683⇻⋧≁⋰*⋻213A=⋰*⋻-403","reverse_text":"⋰*⋻-403=(⇠⋰*⋻876⇤⋰*⋻5A93⨼⩣(⋰*⋻5420⪢⋰*⋻3679))∕⩚(⋰*⋻1A23⋻⩜⩜⋰*⋻4869)⊕∕(⋰*⋻1963⨓⋰*⋻A02)⪟⇏(⋠∜⋰*⋻1037)⇂≾⫗⋰*⋻1683⇻⋧≁⋰*⋻213A","cot":[{"info":"⋰*⋻876⇤⋰*⋻5A93=⋰*⋻-29812","layer":3},{"info":"⋰*⋻5420⪢⋰*⋻3679=NaN","layer":3},{"info":"⋰*⋻-29812⨼⩣NaN=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⋰*⋻1A23⋻⩜⩜⋰*⋻4869=⋰*⋻3946","layer":3},{"info":"⋰*⋻1963⨓⋰*⋻A02=⋰*⋻-A05","layer":3},{"info":"⋰*⋻3946⊕∕⋰*⋻-A05=⋰*⋻3946","layer":2},{"info":"⋠∜⋰*⋻1037=⋰*⋻5922","layer":3},{"info":"⋰*⋻1683⇻⋧≁⋰*⋻213A=⋰*⋻-377","layer":3},{"info":"⋰*⋻5922⇂≾⫗⋰*⋻-377=⋰*⋻-565","layer":2},{"info":"⋰*⋻3946⪟⇏⋰*⋻-565=⋰*⋻-1","layer":1},{"info":"NaN∕⩚⋰*⋻-1=⋰*⋻-403","layer":0}]}
{"id":291,"expression_no_base_symbol":"(↨⩢⫨(≉$1741$↼⊘⨖$5117$))⊹≧⊝","expression":"(↨⩢⫨(≉⋰*⋻1343↼⊘⨖⋰*⋻3932))⊹≧⊝","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":96,"operation_count":4,"complexity_ratio":24.0,"tree":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1741,"base":11},"right_expr":{"type":"numeric_atoms","value":5117,"base":11}}}}},"used_operators":["LxFB4K6j0n","Z5CJsN7DuW","e1ybzncUwg","bPywburJMS"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=5117, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=10012","layer":3},{"info":"compute unary expreesion, input=10012, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=10543","layer":2},{"info":"compute unary expreesion, input=10543, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(↨⩢⫨(≉⋰*⋻1343↼⊘⨖⋰*⋻3932))⊹≧⊝=⋰*⋻0","reverse_text":"⋰*⋻0=(↨⩢⫨(≉⋰*⋻1343↼⊘⨖⋰*⋻3932))⊹≧⊝","cot":[{"info":"⋰*⋻1343↼⊘⨖⋰*⋻3932=⋰*⋻7582","layer":3},{"info":"≉⋰*⋻7582=⋰*⋻7A15","layer":2},{"info":"↨⩢⫨⋰*⋻7A15=⋰*⋻0","layer":1},{"info":"⋰*⋻0⊹≧⊝=⋰*⋻0","layer":0}]}
{"id":292,"expression_no_base_symbol":"⨡↴(↣≠⋷(∷≠$1175$)⫁(⪡⇡≛$1565$))","expression":"⨡↴(↣≠⋷(∷≠⋰*⋻979)⫁(⪡⇡≛⋰*⋻11A3))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":30417,"operation_count":5,"complexity_ratio":6083.4,"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":1175,"base":11}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1565,"base":11}}}}},"used_operators":["liw5iZPkLH","Asc51vEJeQ","0ajvFaJAv0","QiR2Oyf5Xj","qL4PrbW1Dq"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","XhwjNDsVaA","AHs5Up7iyr","cHh1gJQ2o6","AHs5Up7iyr","7j4O788W3g","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":4},{"info":"compute unary expreesion, input=1175, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1175","layer":3},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1565","layer":3},{"info":"compute binary expreesion, left_input=1175, right_input=-1565, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨡↴(↣≠⋷(∷≠⋰*⋻979)⫁(⪡⇡≛⋰*⋻11A3))=NaN","reverse_text":"NaN=⨡↴(↣≠⋷(∷≠⋰*⋻979)⫁(⪡⇡≛⋰*⋻11A3))","cot":[{"info":"∷≠⋰*⋻979=⋰*⋻979","layer":3},{"info":"⪡⇡≛⋰*⋻11A3=⋰*⋻-11A3","layer":3},{"info":"⋰*⋻979⫁⋰*⋻-11A3=⋰*⋻136","layer":2},{"info":"↣≠⋷⋰*⋻136=NaN","layer":1},{"info":"⨡↴NaN=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"(⊽($1802$⪡$1614$≬⋮$5127$⩚⊴⇥$3239$))⨑⩅≇($3583$↞⋁$3647$⋣⋖($6029$∑⇟⊟$1970$)∸)","expression":"(⊽(⋰*⋻1399⪡⋰*⋻1238≬⋮⋰*⋻3941⩚⊴⇥⋰*⋻2485))⨑⩅≇(⋰*⋻2768↞⋁⋰*⋻2816⋣⋖(⋰*⋻4591∑⇟⊟⋰*⋻1531)∸)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":615,"operation_count":9,"complexity_ratio":68.33333333333333,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1802,"base":11},"right_expr":{"type":"numeric_atoms","value":1614,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5127,"base":11},"right_expr":{"type":"numeric_atoms","value":3239,"base":11}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3583,"base":11},"right_expr":{"type":"numeric_atoms","value":3647,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6029,"base":11},"right_expr":{"type":"numeric_atoms","value":1970,"base":11}}}}},"used_operators":["h92wMvzauj","QxG7OkqoLX","kbkesczE7y","oraRL2iQuh","NTOWxs364D","o20kRiQErp","J0M6qkBnIM","RqrPlJkxDo","U7g4x0WXJJ"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⋰*⋻-7386","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=1614, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=5127","layer":4},{"info":"number node, value=3239","layer":4},{"info":"compute binary expreesion, left_input=5127, right_input=3239, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8487","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-8487, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3258","layer":1},{"info":"number node, value=3583","layer":4},{"info":"number node, value=3647","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=3647, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=6029","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=6029, right_input=1970, 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 = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=3258, right_input=177, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-9774","layer":0}],"base":11,"result_base":11,"text":"(⊽(⋰*⋻1399⪡⋰*⋻1238≬⋮⋰*⋻3941⩚⊴⇥⋰*⋻2485))⨑⩅≇(⋰*⋻2768↞⋁⋰*⋻2816⋣⋖(⋰*⋻4591∑⇟⊟⋰*⋻1531)∸)=⋰*⋻-7386","reverse_text":"⋰*⋻-7386=(⊽(⋰*⋻1399⪡⋰*⋻1238≬⋮⋰*⋻3941⩚⊴⇥⋰*⋻2485))⨑⩅≇(⋰*⋻2768↞⋁⋰*⋻2816⋣⋖(⋰*⋻4591∑⇟⊟⋰*⋻1531)∸)","cot":[{"info":"⋰*⋻1399⪡⋰*⋻1238=⋰*⋻98","layer":3},{"info":"⋰*⋻3941⩚⊴⇥⋰*⋻2485=⋰*⋻-6416","layer":3},{"info":"⋰*⋻98≬⋮⋰*⋻-6416=⋰*⋻71A","layer":2},{"info":"⊽⋰*⋻71A=⋰*⋻24A2","layer":1},{"info":"⋰*⋻2768↞⋁⋰*⋻2816=NaN","layer":3},{"info":"⋰*⋻4591∑⇟⊟⋰*⋻1531=NaN","layer":3},{"info":"NaN⋣⋖NaN=NaN","layer":2},{"info":"NaN∸=⋰*⋻151","layer":1},{"info":"⋰*⋻24A2⨑⩅≇⋰*⋻151=⋰*⋻-7386","layer":0}]}
{"id":294,"expression_no_base_symbol":"(($2937$⇋≉)⪢($4976$⪒$2291$))↳≱(($4895$⫦⪉$1465$)⨳⩥⨓$5042$↼⊘⨖$4275$)⩼⇪↪(($3239$⋩≍≻)⇷$2920$⪎↠$3673$⨎($4600$⨻⩈⩔$5216$)≦↸(⊢≑≆$2609$))","expression":"((⋰*⋻2230⇋≉)⪢(⋰*⋻3814⪒⋰*⋻17A3))↳≱((⋰*⋻3750⫦⪉⋰*⋻1112)⨳⩥⨓⋰*⋻3874↼⊘⨖⋰*⋻3237)⩼⇪↪((⋰*⋻2485⋩≍≻)⇷⋰*⋻2215⪎↠⋰*⋻283A⨎(⋰*⋻3502⨻⩈⩔⋰*⋻3A12)≦↸(⊢≑≆⋰*⋻1A62))","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":9963,"operation_count":15,"complexity_ratio":664.2,"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":2937,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4976,"base":11},"right_expr":{"type":"numeric_atoms","value":2291,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4895,"base":11},"right_expr":{"type":"numeric_atoms","value":1465,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5042,"base":11},"right_expr":{"type":"numeric_atoms","value":4275,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":3239,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2920,"base":11},"right_expr":{"type":"numeric_atoms","value":3673,"base":11}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4600,"base":11},"right_expr":{"type":"numeric_atoms","value":5216,"base":11}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2609,"base":11}}}}},"used_operators":["ocnLzx9CaJ","JwTKLfZU96","dWAJyo7jo9","XIabStNQrY","f6k1SAg4EE","nCS4ZIUYfx","wscyQdcy20","bPywburJMS","rJVOvQCfKK","mp7IySMOzn","WYd1w68Nbz","3tVxb0NHM4","RygbFNSyEJ","nEsXyWgiOK","27wFxooxGf"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"⋰*⋻342081","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2937","layer":4},{"info":"compute unary expreesion, input=2937, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5776","layer":3},{"info":"number node, value=4976","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=4976, right_input=2291, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7267","layer":3},{"info":"compute binary expreesion, left_input=5776, right_input=-7267, 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=4895","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=4895, right_input=1465, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4890","layer":3},{"info":"number node, value=5042","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=5042, right_input=4275, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8328","layer":3},{"info":"compute binary expreesion, left_input=-4890, right_input=8328, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=13218","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13218, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=3239","layer":4},{"info":"compute unary expreesion, input=3239, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=2920","layer":4},{"info":"number node, value=3673","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=3673, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":2},{"info":"number node, value=4600","layer":4},{"info":"number node, value=5216","layer":4},{"info":"compute binary expreesion, left_input=4600, right_input=5216, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=28399","layer":3},{"info":"number node, value=2609","layer":4},{"info":"compute unary expreesion, input=2609, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=10888","layer":3},{"info":"compute binary expreesion, left_input=28399, right_input=10888, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-77893","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=-77893, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-77893","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-77893, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=544468","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2230⇋≉)⪢(⋰*⋻3814⪒⋰*⋻17A3))↳≱((⋰*⋻3750⫦⪉⋰*⋻1112)⨳⩥⨓⋰*⋻3874↼⊘⨖⋰*⋻3237)⩼⇪↪((⋰*⋻2485⋩≍≻)⇷⋰*⋻2215⪎↠⋰*⋻283A⨎(⋰*⋻3502⨻⩈⩔⋰*⋻3A12)≦↸(⊢≑≆⋰*⋻1A62))=⋰*⋻342081","reverse_text":"⋰*⋻342081=((⋰*⋻2230⇋≉)⪢(⋰*⋻3814⪒⋰*⋻17A3))↳≱((⋰*⋻3750⫦⪉⋰*⋻1112)⨳⩥⨓⋰*⋻3874↼⊘⨖⋰*⋻3237)⩼⇪↪((⋰*⋻2485⋩≍≻)⇷⋰*⋻2215⪎↠⋰*⋻283A⨎(⋰*⋻3502⨻⩈⩔⋰*⋻3A12)≦↸(⊢≑≆⋰*⋻1A62))","cot":[{"info":"⋰*⋻2230⇋≉=⋰*⋻4381","layer":3},{"info":"⋰*⋻3814⪒⋰*⋻17A3=⋰*⋻-5507","layer":3},{"info":"⋰*⋻4381⪢⋰*⋻-5507=NaN","layer":2},{"info":"⋰*⋻3750⫦⪉⋰*⋻1112=⋰*⋻-3746","layer":3},{"info":"⋰*⋻3874↼⊘⨖⋰*⋻3237=⋰*⋻6291","layer":3},{"info":"⋰*⋻-3746⨳⩥⨓⋰*⋻6291=⋰*⋻9A27","layer":2},{"info":"NaN↳≱⋰*⋻9A27=⋰*⋻0","layer":1},{"info":"⋰*⋻2485⋩≍≻=⋰*⋻-50","layer":3},{"info":"⋰*⋻2215⪎↠⋰*⋻283A=⋰*⋻136","layer":3},{"info":"⋰*⋻-50⇷⋰*⋻136=⋰*⋻271","layer":2},{"info":"⋰*⋻3502⨻⩈⩔⋰*⋻3A12=⋰*⋻1A378","layer":3},{"info":"⊢≑≆⋰*⋻1A62=⋰*⋻81A9","layer":3},{"info":"⋰*⋻1A378≦↸⋰*⋻81A9=⋰*⋻-53582","layer":2},{"info":"⋰*⋻271⨎⋰*⋻-53582=⋰*⋻-53582","layer":1},{"info":"⋰*⋻0⩼⇪↪⋰*⋻-53582=⋰*⋻342081","layer":0}]}
{"id":295,"expression_no_base_symbol":"(((⊑$1171$)⨕⋳)∐⫣)⨑⩅≇(($3516$⩺⪪$1484$)⇻⋧≁($1071$⊨$3085$)⨟⋌⩍(↓⇌$4252$⨥⫆$2969$))","expression":"(((⊑⋰*⋻975)⨕⋳)∐⫣)⨑⩅≇((⋰*⋻2707⩺⪪⋰*⋻112A)⇻⋧≁(⋰*⋻894⊨⋰*⋻2355)⨟⋌⩍(↓⇌⋰*⋻3216⨥⫆⋰*⋻225A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":892,"operation_count":10,"complexity_ratio":89.2,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1171,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3516,"base":11},"right_expr":{"type":"numeric_atoms","value":1484,"base":11}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":3085,"base":11}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4252,"base":11},"right_expr":{"type":"numeric_atoms","value":2969,"base":11}}}}},"used_operators":["h92wMvzauj","4CyGpkTkEk","4X4GscPmMf","IkUmn0D7oy","rGHVDoGpnC","jCPkEVoL5K","uvdQJvN4PV","vg4gO5BX6G","PxpmPgHHJV","yXekIHxTD4"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","Tcnh7f0tEr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-116954","layer":2},{"info":"compute unary expreesion, input=-116954, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":1},{"info":"number node, value=3516","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=1484, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-33410","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3085, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5315","layer":3},{"info":"compute binary expreesion, left_input=-33410, right_input=5315, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-304067","layer":2},{"info":"number node, value=4252","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=4252, right_input=2969, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5814","layer":3},{"info":"compute unary expreesion, input=5814, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=5814","layer":2},{"info":"compute binary expreesion, left_input=-304067, right_input=5814, 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=551, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⊑⋰*⋻975)⨕⋳)∐⫣)⨑⩅≇((⋰*⋻2707⩺⪪⋰*⋻112A)⇻⋧≁(⋰*⋻894⊨⋰*⋻2355)⨟⋌⩍(↓⇌⋰*⋻3216⨥⫆⋰*⋻225A))=NaN","reverse_text":"NaN=(((⊑⋰*⋻975)⨕⋳)∐⫣)⨑⩅≇((⋰*⋻2707⩺⪪⋰*⋻112A)⇻⋧≁(⋰*⋻894⊨⋰*⋻2355)⨟⋌⩍(↓⇌⋰*⋻3216⨥⫆⋰*⋻225A))","cot":[{"info":"⊑⋰*⋻975=⋰*⋻165","layer":3},{"info":"⋰*⋻165⨕⋳=⋰*⋻-7A962","layer":2},{"info":"⋰*⋻-7A962∐⫣=⋰*⋻461","layer":1},{"info":"⋰*⋻2707⩺⪪⋰*⋻112A=⋰*⋻-23113","layer":3},{"info":"⋰*⋻894⊨⋰*⋻2355=⋰*⋻3AA2","layer":3},{"info":"⋰*⋻-23113⇻⋧≁⋰*⋻3AA2=⋰*⋻-1984A5","layer":2},{"info":"⋰*⋻3216⨥⫆⋰*⋻225A=⋰*⋻4406","layer":3},{"info":"↓⇌⋰*⋻4406=⋰*⋻4406","layer":2},{"info":"⋰*⋻-1984A5⨟⋌⩍⋰*⋻4406=NaN","layer":1},{"info":"⋰*⋻461⨑⩅≇NaN=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"($3554$⩧⪆$2846$≓∲(⨙⪌$2775$))⫁((↨⩢⫨$1611$)⫏⊷)⋓(($3520$⊾⪯⋞$1541$)≴⪞⇿($2609$⪮%⊝$7869$))≎⪠(($4035$⩒⫫$4508$)⫒⫫($8800$⫚↹⊑$6852$))","expression":"(⋰*⋻2741⩧⪆⋰*⋻2158≓∲(⨙⪌⋰*⋻20A3))⫁((↨⩢⫨⋰*⋻1235)⫏⊷)⋓((⋰*⋻2710⊾⪯⋞⋰*⋻1181)≴⪞⇿(⋰*⋻1A62⪮%⊝⋰*⋻5A04))≎⪠((⋰*⋻3039⩒⫫⋰*⋻3429)⫒⫫(⋰*⋻6680⫚↹⊑⋰*⋻516A))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25450,"operation_count":14,"complexity_ratio":1817.857142857143,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3554,"base":11},"right_expr":{"type":"numeric_atoms","value":2846,"base":11}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2775,"base":11}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1611,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3520,"base":11},"right_expr":{"type":"numeric_atoms","value":1541,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2609,"base":11},"right_expr":{"type":"numeric_atoms","value":7869,"base":11}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4035,"base":11},"right_expr":{"type":"numeric_atoms","value":4508,"base":11}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":8800,"base":11},"right_expr":{"type":"numeric_atoms","value":6852,"base":11}}}}},"used_operators":["T2fj7uvVaJ","0ajvFaJAv0","s1XTVnmDOJ","Ikt5ks8PT7","vEGLkm4Z2k","dcShxvzhyw","Z5CJsN7DuW","aNhz54LH3e","lvlrscuwVU","HK0tfVPux8","IWmyXbctLI","6Ko8hGgeMq","KFSx94NKJn","dfKe02y8D2"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","cHh1gJQ2o6","AHs5Up7iyr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eewbuw0ToL","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3554","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=3554, right_input=2846, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2846","layer":3},{"info":"number node, value=2775","layer":4},{"info":"compute unary expreesion, input=2775, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-2846, right_input=868, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-818, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=3520","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=1541, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2656","layer":3},{"info":"number node, value=2609","layer":4},{"info":"number node, value=7869","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=7869, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5534","layer":3},{"info":"compute binary expreesion, left_input=2656, right_input=5534, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=11357612","layer":2},{"info":"number node, value=4035","layer":4},{"info":"number node, value=4508","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=4508, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3733","layer":3},{"info":"number node, value=8800","layer":4},{"info":"number node, value=6852","layer":4},{"info":"compute binary expreesion, left_input=8800, right_input=6852, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=3733, right_input=-447, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11357612, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=19558, 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":11,"result_base":11,"text":"(⋰*⋻2741⩧⪆⋰*⋻2158≓∲(⨙⪌⋰*⋻20A3))⫁((↨⩢⫨⋰*⋻1235)⫏⊷)⋓((⋰*⋻2710⊾⪯⋞⋰*⋻1181)≴⪞⇿(⋰*⋻1A62⪮%⊝⋰*⋻5A04))≎⪠((⋰*⋻3039⩒⫫⋰*⋻3429)⫒⫫(⋰*⋻6680⫚↹⊑⋰*⋻516A))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻2741⩧⪆⋰*⋻2158≓∲(⨙⪌⋰*⋻20A3))⫁((↨⩢⫨⋰*⋻1235)⫏⊷)⋓((⋰*⋻2710⊾⪯⋞⋰*⋻1181)≴⪞⇿(⋰*⋻1A62⪮%⊝⋰*⋻5A04))≎⪠((⋰*⋻3039⩒⫫⋰*⋻3429)⫒⫫(⋰*⋻6680⫚↹⊑⋰*⋻516A))","cot":[{"info":"⋰*⋻2741⩧⪆⋰*⋻2158=⋰*⋻-2158","layer":3},{"info":"⨙⪌⋰*⋻20A3=⋰*⋻71A","layer":3},{"info":"⋰*⋻-2158≓∲⋰*⋻71A=⋰*⋻61","layer":2},{"info":"↨⩢⫨⋰*⋻1235=⋰*⋻0","layer":3},{"info":"⋰*⋻0⫏⊷=⋰*⋻-684","layer":2},{"info":"⋰*⋻61⫁⋰*⋻-684=⋰*⋻136","layer":1},{"info":"⋰*⋻2710⊾⪯⋞⋰*⋻1181=⋰*⋻1AA5","layer":3},{"info":"⋰*⋻1A62⪮%⊝⋰*⋻5A04=⋰*⋻4181","layer":3},{"info":"⋰*⋻1AA5≴⪞⇿⋰*⋻4181=⋰*⋻6458162","layer":2},{"info":"⋰*⋻3039⩒⫫⋰*⋻3429=⋰*⋻2894","layer":3},{"info":"⋰*⋻6680⫚↹⊑⋰*⋻516A=⋰*⋻-377","layer":3},{"info":"⋰*⋻2894⫒⫫⋰*⋻-377=NaN","layer":2},{"info":"⋰*⋻6458162≎⪠NaN=⋰*⋻13770","layer":1},{"info":"⋰*⋻136⋓⋰*⋻13770=⋰*⋻0","layer":0}]}
{"id":297,"expression_no_base_symbol":"(⨞⊢(⩰$6974$⨑⩅≇$1605$))⪁(⊲⪭(↯⪼$1162$⩼⇪↪$3112$))","expression":"(⨞⊢(⩰⋰*⋻5270⨑⩅≇⋰*⋻122A))⪁(⊲⪭(↯⪼⋰*⋻967⩼⇪↪⋰*⋻237A))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":82493,"operation_count":7,"complexity_ratio":11784.714285714286,"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":6974,"base":11},"right_expr":{"type":"numeric_atoms","value":1605,"base":11}}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1162,"base":11},"right_expr":{"type":"numeric_atoms","value":3112,"base":11}}}}},"used_operators":["I7sXao9hZE","xUOZtlo3hN","WkeUrDK8WX","h92wMvzauj","k7HXdKtiEU","8jW3W4yZS5","ocnLzx9CaJ"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","i8ToyICDmI","xUOZtlo3hN","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6974","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=6974, right_input=1605, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-20922","layer":3},{"info":"compute unary expreesion, input=-20922, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=40844","layer":2},{"info":"compute unary expreesion, input=40844, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-41018","layer":1},{"info":"number node, value=1162","layer":4},{"info":"number node, value=3112","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=3112, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-20243","layer":3},{"info":"compute unary expreesion, input=-20243, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=39569","layer":2},{"info":"compute unary expreesion, input=39569, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-39743","layer":1},{"info":"compute binary expreesion, left_input=-41018, right_input=-39743, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢(⩰⋰*⋻5270⨑⩅≇⋰*⋻122A))⪁(⊲⪭(↯⪼⋰*⋻967⩼⇪↪⋰*⋻237A))=NaN","reverse_text":"NaN=(⨞⊢(⩰⋰*⋻5270⨑⩅≇⋰*⋻122A))⪁(⊲⪭(↯⪼⋰*⋻967⩼⇪↪⋰*⋻237A))","cot":[{"info":"⋰*⋻5270⨑⩅≇⋰*⋻122A=⋰*⋻-147A0","layer":3},{"info":"⩰⋰*⋻-147A0=⋰*⋻28761","layer":2},{"info":"⨞⊢⋰*⋻28761=⋰*⋻-288AA","layer":1},{"info":"⋰*⋻967⩼⇪↪⋰*⋻237A=⋰*⋻-14233","layer":3},{"info":"↯⪼⋰*⋻-14233=⋰*⋻27802","layer":2},{"info":"⊲⪭⋰*⋻27802=⋰*⋻-27950","layer":1},{"info":"⋰*⋻-288AA⪁⋰*⋻-27950=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"(($3010$∷$4486$)⩵∡$1591$≒∊$8393$)⨔≚≋(⨭⩧⫛$2026$)≁($1893$⇍⊗$2486$)⨒(∓(($1971$⇼⇔∾$1181$)⪉⨛$4170$⋕⪉⪜$1122$))","expression":"((⋰*⋻2297∷⋰*⋻3409)⩵∡⋰*⋻1217≒∊⋰*⋻6340)⨔≚≋(⨭⩧⫛⋰*⋻1582)≁(⋰*⋻1471⇍⊗⋰*⋻1960)⨒(∓((⋰*⋻1532⇼⇔∾⋰*⋻984)⪉⨛⋰*⋻3151⋕⪉⪜⋰*⋻930))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":234,"operation_count":12,"complexity_ratio":19.5,"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":3010,"base":11},"right_expr":{"type":"numeric_atoms","value":4486,"base":11}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1591,"base":11},"right_expr":{"type":"numeric_atoms","value":8393,"base":11}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2026,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1893,"base":11},"right_expr":{"type":"numeric_atoms","value":2486,"base":11}}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1971,"base":11},"right_expr":{"type":"numeric_atoms","value":1181,"base":11}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4170,"base":11},"right_expr":{"type":"numeric_atoms","value":1122,"base":11}}}}},"used_operators":["y75s1iXyHd","Z57zeUYC9z","Y7wcNGrDQJ","D3AQDKkPcf","5KTvxBwnZo","8N2wDY1A35","g21JL6JxX7","5uvYHDjeKN","OwUj7dcsQK","EWw2JM7wp4","tifHPKVTfV","z6LnFrNh4i"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","NTOWxs364D","7j4O788W3g","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3010","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=3010, right_input=4486, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4486","layer":3},{"info":"number node, value=1591","layer":4},{"info":"number node, value=8393","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=8393, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1107","layer":3},{"info":"compute binary expreesion, left_input=4486, right_input=-1107, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-10200","layer":2},{"info":"number node, value=2026","layer":4},{"info":"compute unary expreesion, input=2026, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=1893","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=2486, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10200, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=1971","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=1181, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-790","layer":3},{"info":"number node, value=4170","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=4170, right_input=1122, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-790, right_input=2802, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-10561","layer":2},{"info":"compute unary expreesion, input=-10561, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=153543","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=153543, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2297∷⋰*⋻3409)⩵∡⋰*⋻1217≒∊⋰*⋻6340)⨔≚≋(⨭⩧⫛⋰*⋻1582)≁(⋰*⋻1471⇍⊗⋰*⋻1960)⨒(∓((⋰*⋻1532⇼⇔∾⋰*⋻984)⪉⨛⋰*⋻3151⋕⪉⪜⋰*⋻930))=NaN","reverse_text":"NaN=((⋰*⋻2297∷⋰*⋻3409)⩵∡⋰*⋻1217≒∊⋰*⋻6340)⨔≚≋(⨭⩧⫛⋰*⋻1582)≁(⋰*⋻1471⇍⊗⋰*⋻1960)⨒(∓((⋰*⋻1532⇼⇔∾⋰*⋻984)⪉⨛⋰*⋻3151⋕⪉⪜⋰*⋻930))","cot":[{"info":"⋰*⋻2297∷⋰*⋻3409=⋰*⋻3409","layer":3},{"info":"⋰*⋻1217≒∊⋰*⋻6340=⋰*⋻-917","layer":3},{"info":"⋰*⋻3409⩵∡⋰*⋻-917=⋰*⋻-7733","layer":2},{"info":"⨭⩧⫛⋰*⋻1582=NaN","layer":3},{"info":"⋰*⋻1471⇍⊗⋰*⋻1960=⋰*⋻-202","layer":3},{"info":"NaN≁⋰*⋻-202=NaN","layer":2},{"info":"⋰*⋻-7733⨔≚≋NaN=NaN","layer":1},{"info":"⋰*⋻1532⇼⇔∾⋰*⋻984=⋰*⋻-659","layer":3},{"info":"⋰*⋻3151⋕⪉⪜⋰*⋻930=⋰*⋻2118","layer":3},{"info":"⋰*⋻-659⪉⨛⋰*⋻2118=⋰*⋻-7A31","layer":2},{"info":"∓⋰*⋻-7A31=⋰*⋻A53A5","layer":1},{"info":"NaN⨒⋰*⋻A53A5=NaN","layer":0}]}
{"id":299,"expression_no_base_symbol":"($3661$⫑%∭)+⪬∐$1111$⫘$3061$⪶≀⋏(⩷($1762$∲⫓$1196$))↸(⩷(⋼∭⪍$1529$⩘$5131$))","expression":"(⋰*⋻2829⫑%∭)+⪬∐⋰*⋻920⫘⋰*⋻2333⪶≀⋏(⩷(⋰*⋻1362∲⫓⋰*⋻998))↸(⩷(⋼∭⪍⋰*⋻1170⩘⋰*⋻3945))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2457,"operation_count":10,"complexity_ratio":245.7,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":3661,"base":11}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1111,"base":11},"right_expr":{"type":"numeric_atoms","value":3061,"base":11}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1762,"base":11},"right_expr":{"type":"numeric_atoms","value":1196,"base":11}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1529,"base":11},"right_expr":{"type":"numeric_atoms","value":5131,"base":11}}}}},"used_operators":["1eCjFl0mb9","zR4jO40bMj","2GS7woTJqF","xUx7qlDO4z","48vC8HMD2b","1h0rLqGiFr","i8ToyICDmI","DbCuESL50I","cHh1gJQ2o6"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3661","layer":4},{"info":"compute unary expreesion, input=3661, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=3061, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1310941","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1310941, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=1762","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=1196, 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 = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-79, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=1529","layer":4},{"info":"number node, value=5131","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=5131, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=1100","layer":2},{"info":"compute unary expreesion, input=1100, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-13279","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13279, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2829⫑%∭)+⪬∐⋰*⋻920⫘⋰*⋻2333⪶≀⋏(⩷(⋰*⋻1362∲⫓⋰*⋻998))↸(⩷(⋼∭⪍⋰*⋻1170⩘⋰*⋻3945))=NaN","reverse_text":"NaN=(⋰*⋻2829⫑%∭)+⪬∐⋰*⋻920⫘⋰*⋻2333⪶≀⋏(⩷(⋰*⋻1362∲⫓⋰*⋻998))↸(⩷(⋼∭⪍⋰*⋻1170⩘⋰*⋻3945))","cot":[{"info":"⋰*⋻2829⫑%∭=NaN","layer":3},{"info":"⋰*⋻920⫘⋰*⋻2333=⋰*⋻815A25","layer":3},{"info":"NaN+⪬∐⋰*⋻815A25=NaN","layer":2},{"info":"⋰*⋻1362∲⫓⋰*⋻998=⋰*⋻0","layer":3},{"info":"⩷⋰*⋻0=⋰*⋻-72","layer":2},{"info":"NaN⪶≀⋏⋰*⋻-72=NaN","layer":1},{"info":"⋰*⋻1170⩘⋰*⋻3945=⋰*⋻136","layer":3},{"info":"⋼∭⪍⋰*⋻136=⋰*⋻910","layer":2},{"info":"⩷⋰*⋻910=⋰*⋻-9A82","layer":1},{"info":"NaN↸⋰*⋻-9A82=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"(($3063$⫩)⊴(⊵⊁$1477$))⨽∌(($4989$⇡)⨝⩣∺)↬⩅∪","expression":"((⋰*⋻2335⫩)⊴(⊵⊁⋰*⋻1123))⨽∌((⋰*⋻3826⇡)⨝⩣∺)↬⩅∪","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11060,"operation_count":7,"complexity_ratio":1580.0,"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":3063,"base":11}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1477,"base":11}}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":4989,"base":11}}}}},"used_operators":["VJ330n2nnx","9samAPKr6k","Nsiff2A1zJ","6aG7x05OhS","AvED76WdY7","ancx8kZcWl","UqFzSgLMvQ"],"dependent_operators":["D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","uBihLCJcMX","k8jYdgA6NY","DZ8iAZOCBD","t8gj7n24qd","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3063","layer":4},{"info":"compute unary expreesion, input=3063, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1477","layer":4},{"info":"compute unary expreesion, input=1477, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=7792","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7792, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4989","layer":4},{"info":"compute unary expreesion, input=4989, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute unary expreesion, input=-2917, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2917","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2917, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2335⫩)⊴(⊵⊁⋰*⋻1123))⨽∌((⋰*⋻3826⇡)⨝⩣∺)↬⩅∪=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻2335⫩)⊴(⊵⊁⋰*⋻1123))⨽∌((⋰*⋻3826⇡)⨝⩣∺)↬⩅∪","cot":[{"info":"⋰*⋻2335⫩=NaN","layer":3},{"info":"⊵⊁⋰*⋻1123=⋰*⋻5944","layer":3},{"info":"NaN⊴⋰*⋻5944=NaN","layer":2},{"info":"⋰*⋻3826⇡=⋰*⋻-2212","layer":3},{"info":"⋰*⋻-2212⨝⩣∺=⋰*⋻-2212","layer":2},{"info":"NaN⨽∌⋰*⋻-2212=⋰*⋻0","layer":1},{"info":"⋰*⋻0↬⩅∪=⋰*⋻0","layer":0}]}
{"id":301,"expression_no_base_symbol":"(⨡↴(⋗⩴⪓($4940$⊍⩺⋍$3108$)))≁((↴⪽⋼$2767$)∊∟⩊(⨩∲⋌$3639$)≣⋋)","expression":"(⨡↴(⋗⩴⪓(⋰*⋻3791⊍⩺⋍⋰*⋻2376)))≁((↴⪽⋼⋰*⋻2096)∊∟⩊(⨩∲⋌⋰*⋻2809)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":797,"operation_count":8,"complexity_ratio":99.625,"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":4940,"base":11},"right_expr":{"type":"numeric_atoms","value":3108,"base":11}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":2767,"base":11}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3639,"base":11}}}}},"used_operators":["8N2wDY1A35","liw5iZPkLH","nOKPl9n5zu","OXDGMFPWZM","Tcnh7f0tEr","ddLRYrp01A","5TUYCnJO6w","aSik1wnThz"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","P8v4zCKN1o","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4940","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=3108, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":1},{"info":"number node, value=2767","layer":4},{"info":"compute unary expreesion, input=2767, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2767","layer":3},{"info":"number node, value=3639","layer":4},{"info":"compute unary expreesion, input=3639, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4162","layer":3},{"info":"compute binary expreesion, left_input=2767, right_input=-4162, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-4162","layer":2},{"info":"compute unary expreesion, input=-4162, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨡↴(⋗⩴⪓(⋰*⋻3791⊍⩺⋍⋰*⋻2376)))≁((↴⪽⋼⋰*⋻2096)∊∟⩊(⨩∲⋌⋰*⋻2809)≣⋋)=NaN","reverse_text":"NaN=(⨡↴(⋗⩴⪓(⋰*⋻3791⊍⩺⋍⋰*⋻2376)))≁((↴⪽⋼⋰*⋻2096)∊∟⩊(⨩∲⋌⋰*⋻2809)≣⋋)","cot":[{"info":"⋰*⋻3791⊍⩺⋍⋰*⋻2376=NaN","layer":3},{"info":"⋗⩴⪓NaN=NaN","layer":2},{"info":"⨡↴NaN=NaN","layer":1},{"info":"↴⪽⋼⋰*⋻2096=⋰*⋻2096","layer":3},{"info":"⨩∲⋌⋰*⋻2809=⋰*⋻-3144","layer":3},{"info":"⋰*⋻2096∊∟⩊⋰*⋻-3144=⋰*⋻-3144","layer":2},{"info":"⋰*⋻-3144≣⋋=⋰*⋻0","layer":1},{"info":"NaN≁⋰*⋻0=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"($2395$↢$2250$∈)∣($1073$≄⊠$1356$⊭↱$2540$⪥$7253$)⨓($1937$⊉↱≁$6525$⊠≄⫣)⪘⫢(⊿$1421$)∼$2755$≚⊃≕$1038$","expression":"(⋰*⋻1888↢⋰*⋻1766∈)∣(⋰*⋻896≄⊠⋰*⋻1023⊭↱⋰*⋻19AA⪥⋰*⋻54A4)⨓(⋰*⋻1501⊉↱≁⋰*⋻49A2⊠≄⫣)⪘⫢(⊿⋰*⋻1082)∼⋰*⋻2085≚⊃≕⋰*⋻864","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":619,"operation_count":13,"complexity_ratio":47.61538461538461,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2395,"base":11},"right_expr":{"type":"numeric_atoms","value":2250,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1073,"base":11},"right_expr":{"type":"numeric_atoms","value":1356,"base":11}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2540,"base":11},"right_expr":{"type":"numeric_atoms","value":7253,"base":11}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1937,"base":11},"right_expr":{"type":"numeric_atoms","value":6525,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1421,"base":11}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2755,"base":11},"right_expr":{"type":"numeric_atoms","value":1038,"base":11}}}}},"used_operators":["3ViojmjbAp","PPChnnnBFF","ztP7wcbY7m","WR6HLWljOP","COABgblf1C","vXNesLlMH1","QbnwKVWMIQ","oacrs7FA3X","DIvbN7qnHd","w2P8NbNXyL","DyGG3AbaNP","DO4fhlbJSI","Bmrmz2XGnR"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2395","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=2250, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1911","layer":3},{"info":"compute unary expreesion, input=1911, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=5062","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1356, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=26364","layer":3},{"info":"number node, value=2540","layer":4},{"info":"number node, value=7253","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=7253, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14812","layer":3},{"info":"compute binary expreesion, left_input=26364, right_input=14812, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-23099","layer":2},{"info":"compute binary expreesion, left_input=5062, right_input=-23099, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-4105","layer":1},{"info":"number node, value=1937","layer":4},{"info":"number node, value=6525","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=6525, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-20894","layer":3},{"info":"compute unary expreesion, input=-20894, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-6422","layer":3},{"info":"number node, value=2755","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2755, right_input=1038, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-6422, 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":2},{"info":"compute binary expreesion, left_input=0, 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=-4105, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1888↢⋰*⋻1766∈)∣(⋰*⋻896≄⊠⋰*⋻1023⊭↱⋰*⋻19AA⪥⋰*⋻54A4)⨓(⋰*⋻1501⊉↱≁⋰*⋻49A2⊠≄⫣)⪘⫢(⊿⋰*⋻1082)∼⋰*⋻2085≚⊃≕⋰*⋻864=NaN","reverse_text":"NaN=(⋰*⋻1888↢⋰*⋻1766∈)∣(⋰*⋻896≄⊠⋰*⋻1023⊭↱⋰*⋻19AA⪥⋰*⋻54A4)⨓(⋰*⋻1501⊉↱≁⋰*⋻49A2⊠≄⫣)⪘⫢(⊿⋰*⋻1082)∼⋰*⋻2085≚⊃≕⋰*⋻864","cot":[{"info":"⋰*⋻1888↢⋰*⋻1766=⋰*⋻1488","layer":3},{"info":"⋰*⋻1488∈=⋰*⋻3892","layer":2},{"info":"⋰*⋻896≄⊠⋰*⋻1023=⋰*⋻18898","layer":3},{"info":"⋰*⋻19AA⪥⋰*⋻54A4=⋰*⋻10146","layer":3},{"info":"⋰*⋻18898⊭↱⋰*⋻10146=⋰*⋻-1639A","layer":2},{"info":"⋰*⋻3892∣⋰*⋻-1639A=⋰*⋻-30A2","layer":1},{"info":"⋰*⋻1501⊉↱≁⋰*⋻49A2=⋰*⋻-14775","layer":3},{"info":"⋰*⋻-14775⊠≄⫣=⋰*⋻0","layer":2},{"info":"⊿⋰*⋻1082=⋰*⋻-4909","layer":3},{"info":"⋰*⋻2085≚⊃≕⋰*⋻864=⋰*⋻61","layer":3},{"info":"⋰*⋻-4909∼⋰*⋻61=⋰*⋻0","layer":2},{"info":"⋰*⋻0⪘⫢⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻-30A2⨓⋰*⋻0=NaN","layer":0}]}
{"id":303,"expression_no_base_symbol":"(($2899$⋕⪉⪜$3612$⨑≵⋬($1048$⋻⩜⩜$2594$))≦≮≮)⨭⪣(($2788$⪑⩈)⨔≚≋$2321$≁$1004$)≠≀(($6186$∲⫓$1874$)⨑≵⋬($6676$⫃⨇$1849$))","expression":"((⋰*⋻21A6⋕⪉⪜⋰*⋻2794⨑≵⋬(⋰*⋻873⋻⩜⩜⋰*⋻1A49))≦≮≮)⨭⪣((⋰*⋻2105⪑⩈)⨔≚≋⋰*⋻1820≁⋰*⋻833)≠≀((⋰*⋻4714∲⫓⋰*⋻1454)⨑≵⋬(⋰*⋻501A⫃⨇⋰*⋻1431))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":36596,"operation_count":12,"complexity_ratio":3049.6666666666665,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2899,"base":11},"right_expr":{"type":"numeric_atoms","value":3612,"base":11}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1048,"base":11},"right_expr":{"type":"numeric_atoms","value":2594,"base":11}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":2788,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2321,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6186,"base":11},"right_expr":{"type":"numeric_atoms","value":1874,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":6676,"base":11},"right_expr":{"type":"numeric_atoms","value":1849,"base":11}}}}},"used_operators":["kn8WO9XteQ","D4vGDi5EA2","XnXgA4xnOs","z6LnFrNh4i","oDCm7WA9JY","IwW236VD4Y","Z57zeUYC9z","C6VvDP6HwP","8N2wDY1A35","i8ToyICDmI","09Ly4LVMIf"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⋰*⋻2477A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2899","layer":4},{"info":"number node, value=3612","layer":4},{"info":"compute binary expreesion, left_input=2899, right_input=3612, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=2594, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2096","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=2096, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-12273","layer":2},{"info":"compute unary expreesion, input=-12273, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=36819","layer":1},{"info":"number node, value=2788","layer":4},{"info":"compute unary expreesion, input=2788, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=21106","layer":3},{"info":"number node, value=2321","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2321, right_input=1004, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=10895","layer":3},{"info":"compute binary expreesion, left_input=21106, right_input=10895, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=6186","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=6186, right_input=1874, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6676","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=6676, right_input=1849, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7428","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7428, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=69263","layer":2},{"info":"compute binary expreesion, left_input=9872, right_input=69263, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-19438","layer":1},{"info":"compute binary expreesion, left_input=36819, right_input=-19438, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=35540","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻21A6⋕⪉⪜⋰*⋻2794⨑≵⋬(⋰*⋻873⋻⩜⩜⋰*⋻1A49))≦≮≮)⨭⪣((⋰*⋻2105⪑⩈)⨔≚≋⋰*⋻1820≁⋰*⋻833)≠≀((⋰*⋻4714∲⫓⋰*⋻1454)⨑≵⋬(⋰*⋻501A⫃⨇⋰*⋻1431))=⋰*⋻2477A","reverse_text":"⋰*⋻2477A=((⋰*⋻21A6⋕⪉⪜⋰*⋻2794⨑≵⋬(⋰*⋻873⋻⩜⩜⋰*⋻1A49))≦≮≮)⨭⪣((⋰*⋻2105⪑⩈)⨔≚≋⋰*⋻1820≁⋰*⋻833)≠≀((⋰*⋻4714∲⫓⋰*⋻1454)⨑≵⋬(⋰*⋻501A⫃⨇⋰*⋻1431))","cot":[{"info":"⋰*⋻21A6⋕⪉⪜⋰*⋻2794=⋰*⋻176","layer":3},{"info":"⋰*⋻873⋻⩜⩜⋰*⋻1A49=⋰*⋻1636","layer":3},{"info":"⋰*⋻176⨑≵⋬⋰*⋻1636=⋰*⋻-9248","layer":2},{"info":"⋰*⋻-9248≦≮≮=⋰*⋻25732","layer":1},{"info":"⋰*⋻2105⪑⩈=⋰*⋻14948","layer":3},{"info":"⋰*⋻1820≁⋰*⋻833=⋰*⋻8205","layer":3},{"info":"⋰*⋻14948⨔≚≋⋰*⋻8205=⋰*⋻7465","layer":2},{"info":"⋰*⋻4714∲⫓⋰*⋻1454=⋰*⋻0","layer":3},{"info":"⋰*⋻501A⫃⨇⋰*⋻1431=⋰*⋻-5643","layer":3},{"info":"⋰*⋻0⨑≵⋬⋰*⋻-5643=⋰*⋻48047","layer":2},{"info":"⋰*⋻7465≠≀⋰*⋻48047=⋰*⋻-13671","layer":1},{"info":"⋰*⋻25732⨭⪣⋰*⋻-13671=⋰*⋻2477A","layer":0}]}
{"id":304,"expression_no_base_symbol":"(($3452$⇉⇉)≭(↯⪼$1870$))≴⪞⇿((∤↝$1355$)⨘⋶⪀)⩍⋽⫝̸(≸≮($2146$+$2621$))⪝(($6516$≒∊$1149$)⨜⨶($7459$⊔$4212$))","expression":"((⋰*⋻2659⇉⇉)≭(↯⪼⋰*⋻1450))≴⪞⇿((∤↝⋰*⋻1022)⨘⋶⪀)⩍⋽⫝̸(≸≮(⋰*⋻1681+⋰*⋻1A73))⪝((⋰*⋻4994≒∊⋰*⋻955)⨜⨶(⋰*⋻5671⊔⋰*⋻318A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":91805,"operation_count":13,"complexity_ratio":7061.923076923077,"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":3452,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1870,"base":11}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1355,"base":11}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2146,"base":11},"right_expr":{"type":"numeric_atoms","value":2621,"base":11}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":6516,"base":11},"right_expr":{"type":"numeric_atoms","value":1149,"base":11}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":7459,"base":11},"right_expr":{"type":"numeric_atoms","value":4212,"base":11}}}}},"used_operators":["BiWNJpBvwn","lvlrscuwVU","rxpJgHHUmx","diKm42VcIt","8jW3W4yZS5","XVKwrhznBb","3UMq87Qwqg","wicAB68Tmb","AljMvE3RRm","W4YGzv6Whe","HiPekx5b7W","5KTvxBwnZo","E4l6HwMY31"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","AHs5Up7iyr","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3452","layer":4},{"info":"compute unary expreesion, input=3452, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-219992","layer":3},{"info":"number node, value=1870","layer":4},{"info":"compute unary expreesion, input=1870, 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=-219992, right_input=-21, 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=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1355","layer":3},{"info":"compute unary expreesion, input=1355, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=2146","layer":4},{"info":"number node, value=2621","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=2621, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4767","layer":3},{"info":"compute unary expreesion, input=4767, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"number node, value=6516","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=6516, right_input=1149, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6032","layer":3},{"info":"number node, value=7459","layer":4},{"info":"number node, value=4212","layer":4},{"info":"compute binary expreesion, left_input=7459, right_input=4212, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=33578","layer":3},{"info":"compute binary expreesion, left_input=-6032, right_input=33578, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-66900","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-66900, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2659⇉⇉)≭(↯⪼⋰*⋻1450))≴⪞⇿((∤↝⋰*⋻1022)⨘⋶⪀)⩍⋽⫝̸(≸≮(⋰*⋻1681+⋰*⋻1A73))⪝((⋰*⋻4994≒∊⋰*⋻955)⨜⨶(⋰*⋻5671⊔⋰*⋻318A))=NaN","reverse_text":"NaN=((⋰*⋻2659⇉⇉)≭(↯⪼⋰*⋻1450))≴⪞⇿((∤↝⋰*⋻1022)⨘⋶⪀)⩍⋽⫝̸(≸≮(⋰*⋻1681+⋰*⋻1A73))⪝((⋰*⋻4994≒∊⋰*⋻955)⨜⨶(⋰*⋻5671⊔⋰*⋻318A))","cot":[{"info":"⋰*⋻2659⇉⇉=⋰*⋻-140313","layer":3},{"info":"↯⪼⋰*⋻1450=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-140313≭⋰*⋻-1A=NaN","layer":2},{"info":"∤↝⋰*⋻1022=⋰*⋻1022","layer":3},{"info":"⋰*⋻1022⨘⋶⪀=NaN","layer":2},{"info":"NaN≴⪞⇿NaN=NaN","layer":1},{"info":"⋰*⋻1681+⋰*⋻1A73=⋰*⋻3644","layer":3},{"info":"≸≮⋰*⋻3644=NaN","layer":2},{"info":"⋰*⋻4994≒∊⋰*⋻955=⋰*⋻-4594","layer":3},{"info":"⋰*⋻5671⊔⋰*⋻318A=⋰*⋻23256","layer":3},{"info":"⋰*⋻-4594⨜⨶⋰*⋻23256=⋰*⋻-46299","layer":2},{"info":"NaN⪝⋰*⋻-46299=NaN","layer":1},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":0}]}
{"id":305,"expression_no_base_symbol":"((⪁⇼$7576$)⫞⩸⩒($1128$⪁$3862$)⫒⫫($1146$⪮%⊝$4160$⫥∨⫟$1328$⫁⪎$1948$))⩼⇪↪(($1117$⊾⪯⋞$2064$)⋝⋈⪟$2789$↤⩊$3541$⨒(($1060$⨴∎)∈))","expression":"((⪁⇼⋰*⋻5768)⫞⩸⩒(⋰*⋻936⪁⋰*⋻29A1)⫒⫫(⋰*⋻952⪮%⊝⋰*⋻3142⫥∨⫟⋰*⋻AA8⫁⪎⋰*⋻1511))⩼⇪↪((⋰*⋻926⊾⪯⋞⋰*⋻1607)⋝⋈⪟⋰*⋻2106↤⩊⋰*⋻272A⨒((⋰*⋻884⨴∎)∈))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":218546155,"operation_count":14,"complexity_ratio":15610439.642857144,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":7576,"base":11}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1128,"base":11},"right_expr":{"type":"numeric_atoms","value":3862,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1146,"base":11},"right_expr":{"type":"numeric_atoms","value":4160,"base":11}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1328,"base":11},"right_expr":{"type":"numeric_atoms","value":1948,"base":11}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1117,"base":11},"right_expr":{"type":"numeric_atoms","value":2064,"base":11}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2789,"base":11},"right_expr":{"type":"numeric_atoms","value":3541,"base":11}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1060,"base":11}}}}},"used_operators":["ocnLzx9CaJ","6Ko8hGgeMq","XGcMNugi78","ZNVVrZ94lY","I7sXao9hZE","KYD54nUTWz","IWmyXbctLI","xRrnTEsQ6j","y75s1iXyHd","2DDjHMKMc0","HK0tfVPux8","13rbtpv6ld","ztP7wcbY7m","CpSg5vQTgA"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=7576","layer":4},{"info":"compute unary expreesion, input=7576, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=3862","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=3862, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=422","layer":2},{"info":"number node, value=1146","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=4160, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2608","layer":3},{"info":"number node, value=1328","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1948, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-620","layer":3},{"info":"compute binary expreesion, left_input=2608, right_input=-620, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1117","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=2064, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3702","layer":3},{"info":"number node, value=2789","layer":4},{"info":"number node, value=3541","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=3541, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3702, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⪁⇼⋰*⋻5768)⫞⩸⩒(⋰*⋻936⪁⋰*⋻29A1)⫒⫫(⋰*⋻952⪮%⊝⋰*⋻3142⫥∨⫟⋰*⋻AA8⫁⪎⋰*⋻1511))⩼⇪↪((⋰*⋻926⊾⪯⋞⋰*⋻1607)⋝⋈⪟⋰*⋻2106↤⩊⋰*⋻272A⨒((⋰*⋻884⨴∎)∈))=NaN","reverse_text":"NaN=((⪁⇼⋰*⋻5768)⫞⩸⩒(⋰*⋻936⪁⋰*⋻29A1)⫒⫫(⋰*⋻952⪮%⊝⋰*⋻3142⫥∨⫟⋰*⋻AA8⫁⪎⋰*⋻1511))⩼⇪↪((⋰*⋻926⊾⪯⋞⋰*⋻1607)⋝⋈⪟⋰*⋻2106↤⩊⋰*⋻272A⨒((⋰*⋻884⨴∎)∈))","cot":[{"info":"⪁⇼⋰*⋻5768=⋰*⋻354","layer":3},{"info":"⋰*⋻936⪁⋰*⋻29A1=NaN","layer":3},{"info":"⋰*⋻354⫞⩸⩒NaN=⋰*⋻354","layer":2},{"info":"⋰*⋻952⪮%⊝⋰*⋻3142=⋰*⋻1A61","layer":3},{"info":"⋰*⋻AA8⫁⪎⋰*⋻1511=⋰*⋻-514","layer":3},{"info":"⋰*⋻1A61⫥∨⫟⋰*⋻-514=NaN","layer":2},{"info":"⋰*⋻354⫒⫫NaN=NaN","layer":1},{"info":"⋰*⋻926⊾⪯⋞⋰*⋻1607=⋰*⋻2866","layer":3},{"info":"⋰*⋻2106↤⩊⋰*⋻272A=NaN","layer":3},{"info":"⋰*⋻2866⋝⋈⪟NaN=NaN","layer":2},{"info":"⋰*⋻884⨴∎=NaN","layer":3},{"info":"NaN∈=NaN","layer":2},{"info":"NaN⨒NaN=NaN","layer":1},{"info":"NaN⩼⇪↪NaN=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"(($5391$⇂≾⫗$4005$⫢⨠$1162$∓⋝$3607$)↹⊜(($2893$⩹$1156$)⇍⊗($2432$⫔⩽⩺$4743$)))↞⋁((↣≠⋷$2403$)⪒⊣⊆(⨵≀≌$1409$)⨸⪁($5180$⫳≱↱$3202$)∠↢$8778$↳≱$1924$)","expression":"((⋰*⋻4061⇂≾⫗⋰*⋻3011⫢⨠⋰*⋻967∓⋝⋰*⋻278A)↹⊜((⋰*⋻21A0⩹⋰*⋻961)⇍⊗(⋰*⋻1911⫔⩽⩺⋰*⋻3622)))↞⋁((↣≠⋷⋰*⋻1895)⪒⊣⊆(⨵≀≌⋰*⋻1071)⨸⪁(⋰*⋻398A⫳≱↱⋰*⋻2451)∠↢⋰*⋻6660↳≱⋰*⋻149A)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":859,"operation_count":15,"complexity_ratio":57.266666666666666,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5391,"base":11},"right_expr":{"type":"numeric_atoms","value":4005,"base":11}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1162,"base":11},"right_expr":{"type":"numeric_atoms","value":3607,"base":11}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2893,"base":11},"right_expr":{"type":"numeric_atoms","value":1156,"base":11}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2432,"base":11},"right_expr":{"type":"numeric_atoms","value":4743,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2403,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1409,"base":11}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5180,"base":11},"right_expr":{"type":"numeric_atoms","value":3202,"base":11}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":8778,"base":11},"right_expr":{"type":"numeric_atoms","value":1924,"base":11}}}}},"used_operators":["RqrPlJkxDo","9bazX3JMtO","xlXykHWxX1","aBQ6xLxuTc","PoHhknlbAi","5uvYHDjeKN","2Wsdkap16l","i9eR4S00cU","g55IO6H4Gj","eRqsBgTDFp","Asc51vEJeQ","srAu1WTS94","KbjG8mgYpV","ZvLB05nZmT","JwTKLfZU96"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","sdazOOVcIp","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5391","layer":4},{"info":"number node, value=4005","layer":4},{"info":"compute binary expreesion, left_input=5391, right_input=4005, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1162","layer":4},{"info":"number node, value=3607","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=3607, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=67, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=3602","layer":2},{"info":"number node, value=2893","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=1156, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1154","layer":3},{"info":"number node, value=2432","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=4743, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1154, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3602, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=2403","layer":4},{"info":"compute unary expreesion, input=2403, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4227","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4227, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"number node, value=5180","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=5180, right_input=3202, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=8778","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=8778, right_input=1924, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=0, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=1898","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1898, 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 = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4061⇂≾⫗⋰*⋻3011⫢⨠⋰*⋻967∓⋝⋰*⋻278A)↹⊜((⋰*⋻21A0⩹⋰*⋻961)⇍⊗(⋰*⋻1911⫔⩽⩺⋰*⋻3622)))↞⋁((↣≠⋷⋰*⋻1895)⪒⊣⊆(⨵≀≌⋰*⋻1071)⨸⪁(⋰*⋻398A⫳≱↱⋰*⋻2451)∠↢⋰*⋻6660↳≱⋰*⋻149A)=NaN","reverse_text":"NaN=((⋰*⋻4061⇂≾⫗⋰*⋻3011⫢⨠⋰*⋻967∓⋝⋰*⋻278A)↹⊜((⋰*⋻21A0⩹⋰*⋻961)⇍⊗(⋰*⋻1911⫔⩽⩺⋰*⋻3622)))↞⋁((↣≠⋷⋰*⋻1895)⪒⊣⊆(⨵≀≌⋰*⋻1071)⨸⪁(⋰*⋻398A⫳≱↱⋰*⋻2451)∠↢⋰*⋻6660↳≱⋰*⋻149A)","cot":[{"info":"⋰*⋻4061⇂≾⫗⋰*⋻3011=⋰*⋻-565","layer":3},{"info":"⋰*⋻967∓⋝⋰*⋻278A=⋰*⋻61","layer":3},{"info":"⋰*⋻-565⫢⨠⋰*⋻61=⋰*⋻2785","layer":2},{"info":"⋰*⋻21A0⩹⋰*⋻961=⋰*⋻95A","layer":3},{"info":"⋰*⋻1911⫔⩽⩺⋰*⋻3622=NaN","layer":3},{"info":"⋰*⋻95A⇍⊗NaN=NaN","layer":2},{"info":"⋰*⋻2785↹⊜NaN=NaN","layer":1},{"info":"↣≠⋷⋰*⋻1895=NaN","layer":3},{"info":"⨵≀≌⋰*⋻1071=⋰*⋻-31A3","layer":3},{"info":"NaN⪒⊣⊆⋰*⋻-31A3=NaN","layer":2},{"info":"⋰*⋻398A⫳≱↱⋰*⋻2451=⋰*⋻-176","layer":3},{"info":"⋰*⋻6660↳≱⋰*⋻149A=⋰*⋻0","layer":3},{"info":"⋰*⋻-176∠↢⋰*⋻0=⋰*⋻1476","layer":2},{"info":"NaN⨸⪁⋰*⋻1476=NaN","layer":1},{"info":"NaN↞⋁NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"((($6602$⊹∫⫚$5499$)⊎←↗)⋭≵$7459$⨜⨶$5535$⪍↜⋙$2642$↳≱$1985$)⩖⊿(($1020$∣$4117$∽($1227$↠))≭(($2126$⨑≵⋬$1994$)⊨$5622$≎⪠$2208$))","expression":"(((⋰*⋻4A62⊹∫⫚⋰*⋻414A)⊎←↗)⋭≵⋰*⋻5671⨜⨶⋰*⋻4182⪍↜⋙⋰*⋻1A92↳≱⋰*⋻1545)⩖⊿((⋰*⋻848∣⋰*⋻3103∽(⋰*⋻A16↠))≭((⋰*⋻1663⨑≵⋬⋰*⋻1553)⊨⋰*⋻4251≎⪠⋰*⋻1728))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19418,"operation_count":14,"complexity_ratio":1387.0,"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":6602,"base":11},"right_expr":{"type":"numeric_atoms","value":5499,"base":11}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":7459,"base":11},"right_expr":{"type":"numeric_atoms","value":5535,"base":11}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2642,"base":11},"right_expr":{"type":"numeric_atoms","value":1985,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1020,"base":11},"right_expr":{"type":"numeric_atoms","value":4117,"base":11}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1227,"base":11}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2126,"base":11},"right_expr":{"type":"numeric_atoms","value":1994,"base":11}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5622,"base":11},"right_expr":{"type":"numeric_atoms","value":2208,"base":11}}}}},"used_operators":["RZ5CV9rWsJ","jBncVCNhdl","dwb5p0fa6d","uWAJUKEvyW","L05ObWFQCd","HiPekx5b7W","JwTKLfZU96","rxpJgHHUmx","y4ImoPnbV5","PPChnnnBFF","LBdsKIvxzf","vg4gO5BX6G","XnXgA4xnOs","aNhz54LH3e"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","sdazOOVcIp","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","AHs5Up7iyr","NTOWxs364D","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6602","layer":4},{"info":"number node, value=5499","layer":4},{"info":"compute binary expreesion, left_input=6602, right_input=5499, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-180","layer":3},{"info":"compute unary expreesion, input=-180, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=1045","layer":2},{"info":"number node, value=7459","layer":4},{"info":"number node, value=5535","layer":4},{"info":"compute binary expreesion, left_input=7459, right_input=5535, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-10814","layer":3},{"info":"number node, value=2642","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=1985, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10814, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=53287","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=53287, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5235","layer":1},{"info":"number node, value=1020","layer":4},{"info":"number node, value=4117","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=4117, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1020","layer":3},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=1020, right_input=-447, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-3581","layer":2},{"info":"number node, value=2126","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=1994, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1949","layer":3},{"info":"number node, value=5622","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=5622, right_input=2208, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-1949, right_input=19558, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-3581, right_input=-174, 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=5235, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻4A62⊹∫⫚⋰*⋻414A)⊎←↗)⋭≵⋰*⋻5671⨜⨶⋰*⋻4182⪍↜⋙⋰*⋻1A92↳≱⋰*⋻1545)⩖⊿((⋰*⋻848∣⋰*⋻3103∽(⋰*⋻A16↠))≭((⋰*⋻1663⨑≵⋬⋰*⋻1553)⊨⋰*⋻4251≎⪠⋰*⋻1728))=NaN","reverse_text":"NaN=(((⋰*⋻4A62⊹∫⫚⋰*⋻414A)⊎←↗)⋭≵⋰*⋻5671⨜⨶⋰*⋻4182⪍↜⋙⋰*⋻1A92↳≱⋰*⋻1545)⩖⊿((⋰*⋻848∣⋰*⋻3103∽(⋰*⋻A16↠))≭((⋰*⋻1663⨑≵⋬⋰*⋻1553)⊨⋰*⋻4251≎⪠⋰*⋻1728))","cot":[{"info":"⋰*⋻4A62⊹∫⫚⋰*⋻414A=⋰*⋻-154","layer":3},{"info":"⋰*⋻-154⊎←↗=⋰*⋻870","layer":2},{"info":"⋰*⋻5671⨜⨶⋰*⋻4182=⋰*⋻-8141","layer":3},{"info":"⋰*⋻1A92↳≱⋰*⋻1545=⋰*⋻0","layer":3},{"info":"⋰*⋻-8141⪍↜⋙⋰*⋻0=⋰*⋻37043","layer":2},{"info":"⋰*⋻870⋭≵⋰*⋻37043=⋰*⋻3A2A","layer":1},{"info":"⋰*⋻848∣⋰*⋻3103=⋰*⋻848","layer":3},{"info":"⋰*⋻A16↠=⋰*⋻-377","layer":3},{"info":"⋰*⋻848∽⋰*⋻-377=⋰*⋻-2766","layer":2},{"info":"⋰*⋻1663⨑≵⋬⋰*⋻1553=⋰*⋻-1512","layer":3},{"info":"⋰*⋻4251≎⪠⋰*⋻1728=⋰*⋻13770","layer":3},{"info":"⋰*⋻-1512⊨⋰*⋻13770=⋰*⋻-149","layer":2},{"info":"⋰*⋻-2766≭⋰*⋻-149=NaN","layer":1},{"info":"⋰*⋻3A2A⩖⊿NaN=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"-(⊖$1613$)⇍⊗($1821$⨻⩈⩔$5992$)∠↢($1836$⋳⪒$6953$⨑≵⋬$1333$⊮⊟↴$2177$)","expression":"-(⊖⋰*⋻1237)⇍⊗(⋰*⋻1406⨻⩈⩔⋰*⋻4558)∠↢(⋰*⋻141A⋳⪒⋰*⋻5251⨑≵⋬⋰*⋻1002⊮⊟↴⋰*⋻16AA)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":246,"operation_count":8,"complexity_ratio":30.75,"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":1613,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1821,"base":11},"right_expr":{"type":"numeric_atoms","value":5992,"base":11}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1836,"base":11},"right_expr":{"type":"numeric_atoms","value":6953,"base":11}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":2177,"base":11}}}}},"used_operators":["t8gj7n24qd","KbjG8mgYpV","5uvYHDjeKN","U6pG0PXrV3","nEsXyWgiOK","XnXgA4xnOs","12rbrZMWeM","QDVgd2eftb"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⋰*⋻-139920","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1821","layer":4},{"info":"number node, value=5992","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=5992, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=6167","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6167, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=1836","layer":4},{"info":"number node, value=6953","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=6953, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3568","layer":3},{"info":"number node, value=1333","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=2177, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3568, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-15429","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-15429, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=218064","layer":1},{"info":"compute unary expreesion, input=218064, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-218064","layer":0}],"base":11,"result_base":11,"text":"-(⊖⋰*⋻1237)⇍⊗(⋰*⋻1406⨻⩈⩔⋰*⋻4558)∠↢(⋰*⋻141A⋳⪒⋰*⋻5251⨑≵⋬⋰*⋻1002⊮⊟↴⋰*⋻16AA)=⋰*⋻-139920","reverse_text":"⋰*⋻-139920=-(⊖⋰*⋻1237)⇍⊗(⋰*⋻1406⨻⩈⩔⋰*⋻4558)∠↢(⋰*⋻141A⋳⪒⋰*⋻5251⨑≵⋬⋰*⋻1002⊮⊟↴⋰*⋻16AA)","cot":[{"info":"⊖⋰*⋻1237=⋰*⋻0","layer":3},{"info":"⋰*⋻1406⨻⩈⩔⋰*⋻4558=⋰*⋻46A7","layer":3},{"info":"⋰*⋻0⇍⊗⋰*⋻46A7=⋰*⋻-202","layer":2},{"info":"⋰*⋻141A⋳⪒⋰*⋻5251=⋰*⋻-2754","layer":3},{"info":"⋰*⋻1002⊮⊟↴⋰*⋻16AA=⋰*⋻0","layer":3},{"info":"⋰*⋻-2754⨑≵⋬⋰*⋻0=⋰*⋻-10657","layer":2},{"info":"⋰*⋻-202∠↢⋰*⋻-10657=⋰*⋻139920","layer":1},{"info":"-⋰*⋻139920=⋰*⋻-139920","layer":0}]}
{"id":309,"expression_no_base_symbol":"((-$4265$)⪇≇⋚$3398$⊱⇼⊻$2717$)⨓(($5148$⋐⇩⊬)⪁$1909$⨚⇆$1962$)⩒⫫(⇵⪽($2056$⩌⋺$2228$))⇴(⨮↦↱$2804$⫁$3816$)","expression":"((-⋰*⋻3228)⪇≇⋚⋰*⋻260A⊱⇼⊻⋰*⋻2050)⨓((⋰*⋻3960⋐⇩⊬)⪁⋰*⋻1486⨚⇆⋰*⋻1524)⩒⫫(⇵⪽(⋰*⋻15AA⩌⋺⋰*⋻1746))⇴(⨮↦↱⋰*⋻211A⫁⋰*⋻295A)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19274,"operation_count":13,"complexity_ratio":1482.6153846153845,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4265,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3398,"base":11},"right_expr":{"type":"numeric_atoms","value":2717,"base":11}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":5148,"base":11}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1909,"base":11},"right_expr":{"type":"numeric_atoms","value":1962,"base":11}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2056,"base":11},"right_expr":{"type":"numeric_atoms","value":2228,"base":11}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2804,"base":11},"right_expr":{"type":"numeric_atoms","value":3816,"base":11}}}}},"used_operators":["KFSx94NKJn","3ViojmjbAp","3sJ7IOPOlU","t8gj7n24qd","FyVja0WsTP","I7sXao9hZE","JuuLT1NoCs","lwHaAYXP2r","4JB6nKBMSY","ZGCBLdVRRX","g7Hmc5v1ko","sYcpBQ0cFf","0ajvFaJAv0"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","sdazOOVcIp","NTOWxs364D","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4265","layer":4},{"info":"compute unary expreesion, input=4265, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4265","layer":3},{"info":"number node, value=3398","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=2717, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-4265, right_input=434, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=5148","layer":4},{"info":"compute unary expreesion, input=5148, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=5148","layer":3},{"info":"number node, value=1909","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=1962, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5148, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=2056","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=2228, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4405","layer":3},{"info":"compute unary expreesion, input=-4405, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=2804","layer":4},{"info":"number node, value=3816","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=3816, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-696522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-696522, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((-⋰*⋻3228)⪇≇⋚⋰*⋻260A⊱⇼⊻⋰*⋻2050)⨓((⋰*⋻3960⋐⇩⊬)⪁⋰*⋻1486⨚⇆⋰*⋻1524)⩒⫫(⇵⪽(⋰*⋻15AA⩌⋺⋰*⋻1746))⇴(⨮↦↱⋰*⋻211A⫁⋰*⋻295A)=NaN","reverse_text":"NaN=((-⋰*⋻3228)⪇≇⋚⋰*⋻260A⊱⇼⊻⋰*⋻2050)⨓((⋰*⋻3960⋐⇩⊬)⪁⋰*⋻1486⨚⇆⋰*⋻1524)⩒⫫(⇵⪽(⋰*⋻15AA⩌⋺⋰*⋻1746))⇴(⨮↦↱⋰*⋻211A⫁⋰*⋻295A)","cot":[{"info":"-⋰*⋻3228=⋰*⋻-3228","layer":3},{"info":"⋰*⋻260A⊱⇼⊻⋰*⋻2050=⋰*⋻365","layer":3},{"info":"⋰*⋻-3228⪇≇⋚⋰*⋻365=⋰*⋻0","layer":2},{"info":"⋰*⋻3960⋐⇩⊬=⋰*⋻3960","layer":3},{"info":"⋰*⋻1486⨚⇆⋰*⋻1524=NaN","layer":3},{"info":"⋰*⋻3960⪁NaN=NaN","layer":2},{"info":"⋰*⋻0⨓NaN=NaN","layer":1},{"info":"⋰*⋻15AA⩌⋺⋰*⋻1746=⋰*⋻-3345","layer":3},{"info":"⇵⪽⋰*⋻-3345=NaN","layer":2},{"info":"⋰*⋻211A⫁⋰*⋻295A=⋰*⋻136","layer":3},{"info":"⨮↦↱⋰*⋻136=⋰*⋻-436342","layer":2},{"info":"NaN⇴⋰*⋻-436342=NaN","layer":1},{"info":"NaN⩒⫫NaN=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"(($1105$∠↢$5251$)+⪬∐($2502$⩇∃⫛$5467$)⨵⪆($1352$⇄$1074$)≨($3578$⋷$3304$))≴⪞⇿(($1100$⨑⩅≇$1077$⋷$7330$⩷∴$9193$)⫃⨇($4707$⩒⫫$1329$)≁($1416$⪑⩈))","expression":"((⋰*⋻915∠↢⋰*⋻3A44)+⪬∐(⋰*⋻1975⩇∃⫛⋰*⋻4120)⨵⪆(⋰*⋻101A⇄⋰*⋻897)≨(⋰*⋻2763⋷⋰*⋻2534))≴⪞⇿((⋰*⋻910⨑⩅≇⋰*⋻89A⋷⋰*⋻5564⩷∴⋰*⋻69A8)⫃⨇(⋰*⋻359A⩒⫫⋰*⋻AA9)≁(⋰*⋻1078⪑⩈))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1529,"operation_count":15,"complexity_ratio":101.93333333333334,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1105,"base":11},"right_expr":{"type":"numeric_atoms","value":5251,"base":11}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2502,"base":11},"right_expr":{"type":"numeric_atoms","value":5467,"base":11}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1352,"base":11},"right_expr":{"type":"numeric_atoms","value":1074,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3578,"base":11},"right_expr":{"type":"numeric_atoms","value":3304,"base":11}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1100,"base":11},"right_expr":{"type":"numeric_atoms","value":1077,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7330,"base":11},"right_expr":{"type":"numeric_atoms","value":9193,"base":11}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4707,"base":11},"right_expr":{"type":"numeric_atoms","value":1329,"base":11}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1416,"base":11}}}}},"used_operators":["lvlrscuwVU","2DQ55sFlQl","2GS7woTJqF","KbjG8mgYpV","1aApVXNlOP","0KMCeP1Jsh","3EYGwJThht","23Mk6UjR3U","09Ly4LVMIf","h92wMvzauj","9FxExcQeMw","8N2wDY1A35","KFSx94NKJn","C6VvDP6HwP"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"⋰*⋻-711A868","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1105","layer":4},{"info":"number node, value=5251","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=5251, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-76852","layer":3},{"info":"number node, value=2502","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=5467, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=3438","layer":3},{"info":"compute binary expreesion, left_input=-76852, right_input=3438, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=230556","layer":2},{"info":"number node, value=1352","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=1074, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=3578","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=3304, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3030","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3030, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":2},{"info":"compute binary expreesion, left_input=230556, right_input=2476, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1100","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1077, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3300","layer":3},{"info":"number node, value=7330","layer":4},{"info":"number node, value=9193","layer":4},{"info":"compute binary expreesion, left_input=7330, right_input=9193, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3758","layer":3},{"info":"compute binary expreesion, left_input=-3300, right_input=-3758, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6600","layer":2},{"info":"number node, value=4707","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=4707, right_input=1329, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4405","layer":3},{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=11502","layer":3},{"info":"compute binary expreesion, left_input=4405, right_input=11502, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=262847","layer":2},{"info":"compute binary expreesion, left_input=6600, right_input=262847, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-1051420","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-1051420, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-12590971","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻915∠↢⋰*⋻3A44)+⪬∐(⋰*⋻1975⩇∃⫛⋰*⋻4120)⨵⪆(⋰*⋻101A⇄⋰*⋻897)≨(⋰*⋻2763⋷⋰*⋻2534))≴⪞⇿((⋰*⋻910⨑⩅≇⋰*⋻89A⋷⋰*⋻5564⩷∴⋰*⋻69A8)⫃⨇(⋰*⋻359A⩒⫫⋰*⋻AA9)≁(⋰*⋻1078⪑⩈))=⋰*⋻-711A868","reverse_text":"⋰*⋻-711A868=((⋰*⋻915∠↢⋰*⋻3A44)+⪬∐(⋰*⋻1975⩇∃⫛⋰*⋻4120)⨵⪆(⋰*⋻101A⇄⋰*⋻897)≨(⋰*⋻2763⋷⋰*⋻2534))≴⪞⇿((⋰*⋻910⨑⩅≇⋰*⋻89A⋷⋰*⋻5564⩷∴⋰*⋻69A8)⫃⨇(⋰*⋻359A⩒⫫⋰*⋻AA9)≁(⋰*⋻1078⪑⩈))","cot":[{"info":"⋰*⋻915∠↢⋰*⋻3A44=⋰*⋻-52816","layer":3},{"info":"⋰*⋻1975⩇∃⫛⋰*⋻4120=⋰*⋻2646","layer":3},{"info":"⋰*⋻-52816+⪬∐⋰*⋻2646=⋰*⋻148247","layer":2},{"info":"⋰*⋻101A⇄⋰*⋻897=⋰*⋻0","layer":3},{"info":"⋰*⋻2763⋷⋰*⋻2534=⋰*⋻2305","layer":3},{"info":"⋰*⋻0≨⋰*⋻2305=⋰*⋻1951","layer":2},{"info":"⋰*⋻148247⨵⪆⋰*⋻1951=⋰*⋻136","layer":1},{"info":"⋰*⋻910⨑⩅≇⋰*⋻89A=⋰*⋻-2530","layer":3},{"info":"⋰*⋻5564⩷∴⋰*⋻69A8=⋰*⋻-2907","layer":3},{"info":"⋰*⋻-2530⋷⋰*⋻-2907=⋰*⋻4A60","layer":2},{"info":"⋰*⋻359A⩒⫫⋰*⋻AA9=⋰*⋻3345","layer":3},{"info":"⋰*⋻1078⪑⩈=⋰*⋻8707","layer":3},{"info":"⋰*⋻3345≁⋰*⋻8707=⋰*⋻16A532","layer":2},{"info":"⋰*⋻4A60⫃⨇⋰*⋻16A532=⋰*⋻-658A47","layer":1},{"info":"⋰*⋻136≴⪞⇿⋰*⋻-658A47=⋰*⋻-711A868","layer":0}]}
{"id":311,"expression_no_base_symbol":"($4387$⩦$2011$⇟⨁⪰)⨻⩈⩔($3116$≨$6859$)⪬(↸⊣$2943$)⪭≯((⇉-⫰$2604$)⪢($1067$⩨$6826$)⨸⪁($1917$↬$1477$⫦⪉$1332$⪇≇⋚$2540$))","expression":"(⋰*⋻3329⩦⋰*⋻1569⇟⨁⪰)⨻⩈⩔(⋰*⋻2383≨⋰*⋻5176)⪬(↸⊣⋰*⋻2236)⪭≯((⇉-⫰⋰*⋻1A58)⪢(⋰*⋻890⩨⋰*⋻5146)⨸⪁(⋰*⋻1493↬⋰*⋻1123⫦⪉⋰*⋻1001⪇≇⋚⋰*⋻19AA))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5616,"operation_count":14,"complexity_ratio":401.14285714285717,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4387,"base":11},"right_expr":{"type":"numeric_atoms","value":2011,"base":11}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3116,"base":11},"right_expr":{"type":"numeric_atoms","value":6859,"base":11}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2943,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2604,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1067,"base":11},"right_expr":{"type":"numeric_atoms","value":6826,"base":11}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1917,"base":11},"right_expr":{"type":"numeric_atoms","value":1477,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1332,"base":11},"right_expr":{"type":"numeric_atoms","value":2540,"base":11}}}}},"used_operators":["XAx5wpdLa6","nEsXyWgiOK","BX1lVwlMe0","0kmYd0q39Y","Ez1Nq5fNfI","0KMCeP1Jsh","wztAlM01eG","g55IO6H4Gj","dWAJyo7jo9","IGFM8TAlm9","2DlMacCsIx","wscyQdcy20","B5M0gjZbta","3sJ7IOPOlU"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2DDjHMKMc0","xUOZtlo3hN","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","k8jYdgA6NY","eH2TOUuTDT","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rGHVDoGpnC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4387","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=4387, right_input=2011, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8774","layer":3},{"info":"compute unary expreesion, input=8774, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-8948","layer":2},{"info":"number node, value=3116","layer":4},{"info":"number node, value=6859","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=6859, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-28684","layer":3},{"info":"number node, value=2943","layer":4},{"info":"compute unary expreesion, input=2943, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2656","layer":3},{"info":"compute binary expreesion, left_input=-28684, right_input=-2656, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-8948, right_input=1234, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=2604","layer":4},{"info":"compute unary expreesion, input=2604, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=6826","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=6826, 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=20, right_input=-18, 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=1917","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1477, 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=1332","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=2540, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , 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=-174, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3329⩦⋰*⋻1569⇟⨁⪰)⨻⩈⩔(⋰*⋻2383≨⋰*⋻5176)⪬(↸⊣⋰*⋻2236)⪭≯((⇉-⫰⋰*⋻1A58)⪢(⋰*⋻890⩨⋰*⋻5146)⨸⪁(⋰*⋻1493↬⋰*⋻1123⫦⪉⋰*⋻1001⪇≇⋚⋰*⋻19AA))=NaN","reverse_text":"NaN=(⋰*⋻3329⩦⋰*⋻1569⇟⨁⪰)⨻⩈⩔(⋰*⋻2383≨⋰*⋻5176)⪬(↸⊣⋰*⋻2236)⪭≯((⇉-⫰⋰*⋻1A58)⪢(⋰*⋻890⩨⋰*⋻5146)⨸⪁(⋰*⋻1493↬⋰*⋻1123⫦⪉⋰*⋻1001⪇≇⋚⋰*⋻19AA))","cot":[{"info":"⋰*⋻3329⩦⋰*⋻1569=⋰*⋻6657","layer":3},{"info":"⋰*⋻6657⇟⨁⪰=⋰*⋻-67A5","layer":2},{"info":"⋰*⋻2383≨⋰*⋻5176=⋰*⋻-1A607","layer":3},{"info":"↸⊣⋰*⋻2236=⋰*⋻-1AA5","layer":3},{"info":"⋰*⋻-1A607⪬⋰*⋻-1AA5=⋰*⋻A22","layer":2},{"info":"⋰*⋻-67A5⨻⩈⩔⋰*⋻A22=⋰*⋻-149","layer":1},{"info":"⇉-⫰⋰*⋻1A58=⋰*⋻19","layer":3},{"info":"⋰*⋻890⩨⋰*⋻5146=⋰*⋻-17","layer":3},{"info":"⋰*⋻19⪢⋰*⋻-17=NaN","layer":2},{"info":"⋰*⋻1493↬⋰*⋻1123=NaN","layer":3},{"info":"⋰*⋻1001⪇≇⋚⋰*⋻19AA=⋰*⋻0","layer":3},{"info":"NaN⫦⪉⋰*⋻0=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻-149⪭≯NaN=NaN","layer":0}]}
{"id":312,"expression_no_base_symbol":"((($3630$%$8649$)⫰⋱(⫛⫱⨽$2542$))≀⫉(($4325$⪘⨀)⇴$3171$↬$2149$))⪒⊣⊆(($2156$⨑≵⋬$3052$)⩵∡$4769$⨜⨶$2816$⇡)","expression":"(((⋰*⋻2800%⋰*⋻6553)⫰⋱(⫛⫱⨽⋰*⋻1A01))≀⫉((⋰*⋻3282⪘⨀)⇴⋰*⋻2423↬⋰*⋻1684))⪒⊣⊆((⋰*⋻1690⨑≵⋬⋰*⋻2325)⩵∡⋰*⋻3646⨜⨶⋰*⋻2130⇡)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1738,"operation_count":12,"complexity_ratio":144.83333333333334,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3630,"base":11},"right_expr":{"type":"numeric_atoms","value":8649,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2542,"base":11}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":4325,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3171,"base":11},"right_expr":{"type":"numeric_atoms","value":2149,"base":11}}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2156,"base":11},"right_expr":{"type":"numeric_atoms","value":3052,"base":11}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4769,"base":11},"right_expr":{"type":"numeric_atoms","value":2816,"base":11}}}}},"used_operators":["eRqsBgTDFp","oZj3VtZNQx","6o9Blt3TJ6","k8jYdgA6NY","DlLNRPXxWL","4JB6nKBMSY","aA7tF3KVD3","B5M0gjZbta","UqFzSgLMvQ","Y7wcNGrDQJ","XnXgA4xnOs","HiPekx5b7W"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","rGHVDoGpnC","sdazOOVcIp","NTOWxs364D","COABgblf1C","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","rGHVDoGpnC","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋰*⋻4271","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3630","layer":4},{"info":"number node, value=8649","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=8649, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3630","layer":3},{"info":"number node, value=2542","layer":4},{"info":"compute unary expreesion, input=2542, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3630, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3597","layer":2},{"info":"number node, value=4325","layer":4},{"info":"compute unary expreesion, input=4325, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-9231","layer":3},{"info":"number node, value=3171","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=2149, 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=-9231, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3597, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=2156","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=2156, right_input=3052, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-9205","layer":3},{"info":"number node, value=4769","layer":4},{"info":"number node, value=2816","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=2816, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5376","layer":3},{"info":"compute binary expreesion, left_input=-9205, right_input=-5376, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=22118","layer":2},{"info":"compute unary expreesion, input=22118, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-2917, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5644","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2800%⋰*⋻6553)⫰⋱(⫛⫱⨽⋰*⋻1A01))≀⫉((⋰*⋻3282⪘⨀)⇴⋰*⋻2423↬⋰*⋻1684))⪒⊣⊆((⋰*⋻1690⨑≵⋬⋰*⋻2325)⩵∡⋰*⋻3646⨜⨶⋰*⋻2130⇡)=⋰*⋻4271","reverse_text":"⋰*⋻4271=(((⋰*⋻2800%⋰*⋻6553)⫰⋱(⫛⫱⨽⋰*⋻1A01))≀⫉((⋰*⋻3282⪘⨀)⇴⋰*⋻2423↬⋰*⋻1684))⪒⊣⊆((⋰*⋻1690⨑≵⋬⋰*⋻2325)⩵∡⋰*⋻3646⨜⨶⋰*⋻2130⇡)","cot":[{"info":"⋰*⋻2800%⋰*⋻6553=⋰*⋻2800","layer":3},{"info":"⫛⫱⨽⋰*⋻1A01=⋰*⋻0","layer":3},{"info":"⋰*⋻2800⫰⋱⋰*⋻0=⋰*⋻-2780","layer":2},{"info":"⋰*⋻3282⪘⨀=⋰*⋻-6A32","layer":3},{"info":"⋰*⋻2423↬⋰*⋻1684=NaN","layer":3},{"info":"⋰*⋻-6A32⇴NaN=NaN","layer":2},{"info":"⋰*⋻-2780≀⫉NaN=⋰*⋻2136","layer":1},{"info":"⋰*⋻1690⨑≵⋬⋰*⋻2325=⋰*⋻-6A09","layer":3},{"info":"⋰*⋻3646⨜⨶⋰*⋻2130=⋰*⋻-4048","layer":3},{"info":"⋰*⋻-6A09⩵∡⋰*⋻-4048=⋰*⋻15688","layer":2},{"info":"⋰*⋻15688⇡=⋰*⋻-2212","layer":1},{"info":"⋰*⋻2136⪒⊣⊆⋰*⋻-2212=⋰*⋻4271","layer":0}]}
{"id":313,"expression_no_base_symbol":"($1650$∌↝$2796$)⪪($3074$↙$3180$)⊾⪯⋞(⇖⫷⫕$3766$⨑⩅≇$3971$)⫃⨇(($1422$⋭≵$5792$)∠↢($1890$⫔⩽⩺$1608$))⩼⇪↪($4675$⩎⪣⊞)⇤($1221$⋾⨃∁$5354$)","expression":"(⋰*⋻1270∌↝⋰*⋻2112)⪪(⋰*⋻2345↙⋰*⋻2431)⊾⪯⋞(⇖⫷⫕⋰*⋻2914⨑⩅≇⋰*⋻2A90)⫃⨇((⋰*⋻1083⋭≵⋰*⋻4396)∠↢(⋰*⋻1469⫔⩽⩺⋰*⋻1232))⩼⇪↪(⋰*⋻3570⩎⪣⊞)⇤(⋰*⋻A10⋾⨃∁⋰*⋻4028)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":79240,"operation_count":14,"complexity_ratio":5660.0,"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":1650,"base":11},"right_expr":{"type":"numeric_atoms","value":2796,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3074,"base":11},"right_expr":{"type":"numeric_atoms","value":3180,"base":11}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3766,"base":11},"right_expr":{"type":"numeric_atoms","value":3971,"base":11}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1422,"base":11},"right_expr":{"type":"numeric_atoms","value":5792,"base":11}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1890,"base":11},"right_expr":{"type":"numeric_atoms","value":1608,"base":11}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":4675,"base":11}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1221,"base":11},"right_expr":{"type":"numeric_atoms","value":5354,"base":11}}}}},"used_operators":["09Ly4LVMIf","HK0tfVPux8","xD69zh8xqp","9Isq31Ruls","yyfyN0ffXY","UHmRx3INFg","h92wMvzauj","ocnLzx9CaJ","KbjG8mgYpV","jBncVCNhdl","i9eR4S00cU","YSKBFp38Pu","waWucp1uQ4","212REbPD9h"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","FU0Cs4j7VP","JclMnS0uGI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","mp7IySMOzn","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"number node, value=2796","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=2796, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=3074","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=3180, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9540","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9540, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":2},{"info":"number node, value=3766","layer":4},{"info":"number node, value=3971","layer":4},{"info":"compute binary expreesion, left_input=3766, right_input=3971, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-11298","layer":3},{"info":"compute unary expreesion, input=-11298, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2822, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5218","layer":1},{"info":"number node, value=1422","layer":4},{"info":"number node, value=5792","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=5792, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1890","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=1608, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=4675","layer":4},{"info":"compute unary expreesion, input=4675, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=9350","layer":3},{"info":"number node, value=1221","layer":4},{"info":"number node, value=5354","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=5354, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=286588818","layer":3},{"info":"compute binary expreesion, left_input=9350, right_input=286588818, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-1432987992","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1432987992, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5218, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1270∌↝⋰*⋻2112)⪪(⋰*⋻2345↙⋰*⋻2431)⊾⪯⋞(⇖⫷⫕⋰*⋻2914⨑⩅≇⋰*⋻2A90)⫃⨇((⋰*⋻1083⋭≵⋰*⋻4396)∠↢(⋰*⋻1469⫔⩽⩺⋰*⋻1232))⩼⇪↪(⋰*⋻3570⩎⪣⊞)⇤(⋰*⋻A10⋾⨃∁⋰*⋻4028)=NaN","reverse_text":"NaN=(⋰*⋻1270∌↝⋰*⋻2112)⪪(⋰*⋻2345↙⋰*⋻2431)⊾⪯⋞(⇖⫷⫕⋰*⋻2914⨑⩅≇⋰*⋻2A90)⫃⨇((⋰*⋻1083⋭≵⋰*⋻4396)∠↢(⋰*⋻1469⫔⩽⩺⋰*⋻1232))⩼⇪↪(⋰*⋻3570⩎⪣⊞)⇤(⋰*⋻A10⋾⨃∁⋰*⋻4028)","cot":[{"info":"⋰*⋻1270∌↝⋰*⋻2112=⋰*⋻0","layer":3},{"info":"⋰*⋻2345↙⋰*⋻2431=⋰*⋻-7193","layer":3},{"info":"⋰*⋻0⪪⋰*⋻-7193=⋰*⋻0","layer":2},{"info":"⋰*⋻2914⨑⩅≇⋰*⋻2A90=⋰*⋻-8541","layer":3},{"info":"⇖⫷⫕⋰*⋻-8541=⋰*⋻2136","layer":2},{"info":"⋰*⋻0⊾⪯⋞⋰*⋻2136=⋰*⋻3A14","layer":1},{"info":"⋰*⋻1083⋭≵⋰*⋻4396=⋰*⋻61","layer":3},{"info":"⋰*⋻1469⫔⩽⩺⋰*⋻1232=NaN","layer":3},{"info":"⋰*⋻61∠↢NaN=NaN","layer":2},{"info":"⋰*⋻3570⩎⪣⊞=⋰*⋻7030","layer":3},{"info":"⋰*⋻A10⋾⨃∁⋰*⋻4028=⋰*⋻13785446A","layer":3},{"info":"⋰*⋻7030⇤⋰*⋻13785446A=⋰*⋻-6759800A7","layer":2},{"info":"NaN⩼⇪↪⋰*⋻-6759800A7=NaN","layer":1},{"info":"⋰*⋻3A14⫃⨇NaN=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"(↑(($2023$⨼⩣$4143$)⋥⋵⩄($2372$↡⊰⫅$4975$)))⪶≀⋏((→⩰($4890$⨸⪁$1895$))⋭≵($1666$⊊)⫯⪬∳($3357$⋳⪒$3320$))","expression":"(↑((⋰*⋻157A⨼⩣⋰*⋻3127)⋥⋵⩄(⋰*⋻1867↡⊰⫅⋰*⋻3813)))⪶≀⋏((→⩰(⋰*⋻3746⨸⪁⋰*⋻1473))⋭≵(⋰*⋻1285⊊)⫯⪬∳(⋰*⋻2582⋳⪒⋰*⋻2549))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":84362,"operation_count":11,"complexity_ratio":7669.272727272727,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2023,"base":11},"right_expr":{"type":"numeric_atoms","value":4143,"base":11}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2372,"base":11},"right_expr":{"type":"numeric_atoms","value":4975,"base":11}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4890,"base":11},"right_expr":{"type":"numeric_atoms","value":1895,"base":11}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1666,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3357,"base":11},"right_expr":{"type":"numeric_atoms","value":3320,"base":11}}}}},"used_operators":["zR4jO40bMj","tR7O2zTn5j","7t3wd0Fuz7","JxwMv5le6e","VCtxkLNOzz","jBncVCNhdl","o8Pngz0Tml","g55IO6H4Gj","d7ASUq0ydm","W9R8I5fN5A","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2023","layer":4},{"info":"number node, value=4143","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=4143, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2372","layer":4},{"info":"number node, value=4975","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=4975, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=9950","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9950, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":1},{"info":"number node, value=4890","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=4890, right_input=1895, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13570","layer":3},{"info":"compute unary expreesion, input=13570, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"number node, value=3357","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=3357, right_input=3320, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3107","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=3107, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=451561","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=451561, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↑((⋰*⋻157A⨼⩣⋰*⋻3127)⋥⋵⩄(⋰*⋻1867↡⊰⫅⋰*⋻3813)))⪶≀⋏((→⩰(⋰*⋻3746⨸⪁⋰*⋻1473))⋭≵(⋰*⋻1285⊊)⫯⪬∳(⋰*⋻2582⋳⪒⋰*⋻2549))=NaN","reverse_text":"NaN=(↑((⋰*⋻157A⨼⩣⋰*⋻3127)⋥⋵⩄(⋰*⋻1867↡⊰⫅⋰*⋻3813)))⪶≀⋏((→⩰(⋰*⋻3746⨸⪁⋰*⋻1473))⋭≵(⋰*⋻1285⊊)⫯⪬∳(⋰*⋻2582⋳⪒⋰*⋻2549))","cot":[{"info":"⋰*⋻157A⨼⩣⋰*⋻3127=NaN","layer":3},{"info":"⋰*⋻1867↡⊰⫅⋰*⋻3813=⋰*⋻7526","layer":3},{"info":"NaN⋥⋵⩄⋰*⋻7526=NaN","layer":2},{"info":"↑NaN=NaN","layer":1},{"info":"⋰*⋻3746⨸⪁⋰*⋻1473=⋰*⋻A217","layer":3},{"info":"→⩰⋰*⋻A217=NaN","layer":2},{"info":"⋰*⋻1285⊊=⋰*⋻62351","layer":3},{"info":"⋰*⋻2582⋳⪒⋰*⋻2549=⋰*⋻2375","layer":3},{"info":"⋰*⋻62351⫯⪬∳⋰*⋻2375=⋰*⋻2892A0","layer":2},{"info":"NaN⋭≵⋰*⋻2892A0=⋰*⋻61","layer":1},{"info":"NaN⪶≀⋏⋰*⋻61=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"($7543$⇌⫙⪟$5518$↺$3770$⋅⇍$4049$⊾⪯⋞$2663$⩁⩘$1090$⊴($6373$⩘$4527$))≬⇓(⫶⊄≣(⩏⊷≩$4591$))⨭⪣((⨆≐≲$4220$)⊊)","expression":"(⋰*⋻5738⇌⫙⪟⋰*⋻4167↺⋰*⋻2918⋅⇍⋰*⋻3051⊾⪯⋞⋰*⋻2001⩁⩘⋰*⋻901⊴(⋰*⋻4874⩘⋰*⋻3446))≬⇓(⫶⊄≣(⩏⊷≩⋰*⋻34A4))⨭⪣((⨆≐≲⋰*⋻3197)⊊)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11985,"operation_count":13,"complexity_ratio":921.9230769230769,"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":7543,"base":11},"right_expr":{"type":"numeric_atoms","value":5518,"base":11}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3770,"base":11},"right_expr":{"type":"numeric_atoms","value":4049,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2663,"base":11},"right_expr":{"type":"numeric_atoms","value":1090,"base":11}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":6373,"base":11},"right_expr":{"type":"numeric_atoms","value":4527,"base":11}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4591,"base":11}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4220,"base":11}}}}},"used_operators":["jWTQ2TZYIH","HK0tfVPux8","7j4O788W3g","AFVx7xoS7T","AdZkA7nFnk","Nsiff2A1zJ","gub5Cegaqo","cHh1gJQ2o6","kn8WO9XteQ","wxb3vTeyAj","uOZ1tnYMDE","W9R8I5fN5A","Bi9z9uYZqW"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","dWAJyo7jo9","14qkJME0vr","DpFCA1CohY","IWmyXbctLI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","23Mk6UjR3U","12rbrZMWeM","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"⋰*⋻-20","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7543","layer":4},{"info":"number node, value=5518","layer":4},{"info":"compute binary expreesion, left_input=7543, right_input=5518, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=3770","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=4049, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-22, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-22","layer":2},{"info":"number node, value=2663","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=1090, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5308","layer":3},{"info":"number node, value=6373","layer":4},{"info":"number node, value=4527","layer":4},{"info":"compute binary expreesion, left_input=6373, right_input=4527, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5308, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":1},{"info":"number node, value=4591","layer":4},{"info":"compute unary expreesion, input=4591, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=8881","layer":3},{"info":"compute unary expreesion, input=8881, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=1419855445","layer":2},{"info":"number node, value=4220","layer":4},{"info":"compute unary expreesion, input=4220, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=45850200","layer":3},{"info":"compute unary expreesion, input=45850200, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"compute binary expreesion, left_input=1419855445, right_input=90927, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1419854166","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1419854166, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5738⇌⫙⪟⋰*⋻4167↺⋰*⋻2918⋅⇍⋰*⋻3051⊾⪯⋞⋰*⋻2001⩁⩘⋰*⋻901⊴(⋰*⋻4874⩘⋰*⋻3446))≬⇓(⫶⊄≣(⩏⊷≩⋰*⋻34A4))⨭⪣((⨆≐≲⋰*⋻3197)⊊)=⋰*⋻-20","reverse_text":"⋰*⋻-20=(⋰*⋻5738⇌⫙⪟⋰*⋻4167↺⋰*⋻2918⋅⇍⋰*⋻3051⊾⪯⋞⋰*⋻2001⩁⩘⋰*⋻901⊴(⋰*⋻4874⩘⋰*⋻3446))≬⇓(⫶⊄≣(⩏⊷≩⋰*⋻34A4))⨭⪣((⨆≐≲⋰*⋻3197)⊊)","cot":[{"info":"⋰*⋻5738⇌⫙⪟⋰*⋻4167=⋰*⋻A3","layer":3},{"info":"⋰*⋻2918⋅⇍⋰*⋻3051=⋰*⋻-20","layer":3},{"info":"⋰*⋻A3↺⋰*⋻-20=⋰*⋻-20","layer":2},{"info":"⋰*⋻2001⩁⩘⋰*⋻901=⋰*⋻3A96","layer":3},{"info":"⋰*⋻4874⩘⋰*⋻3446=⋰*⋻136","layer":3},{"info":"⋰*⋻3A96⊴⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻-20⊾⪯⋞NaN=NaN","layer":1},{"info":"⩏⊷≩⋰*⋻34A4=⋰*⋻6744","layer":3},{"info":"⫶⊄≣⋰*⋻6744=⋰*⋻669520458","layer":2},{"info":"⨆≐≲⋰*⋻3197=⋰*⋻23976A30","layer":3},{"info":"⋰*⋻23976A30⊊=⋰*⋻62351","layer":2},{"info":"⋰*⋻669520458⨭⪣⋰*⋻62351=⋰*⋻66951A4A5","layer":1},{"info":"NaN≬⇓⋰*⋻66951A4A5=⋰*⋻-20","layer":0}]}
{"id":316,"expression_no_base_symbol":"($1316$⨫⇇↔$6708$⪉⨛$2342$⪨⊡$1887$)⨜⨶(($3580$↠)⫔⩽⩺$1714$⋓$1999$)⇼⇔∾(($2906$⩚⊴⇥$5656$)⊍)≹⇙⪍($2349$∙∹∝$7153$∪⫐$1349$⪟⇏$1816$)","expression":"(⋰*⋻A97⨫⇇↔⋰*⋻5049⪉⨛⋰*⋻183A⪨⊡⋰*⋻1466)⨜⨶((⋰*⋻2765↠)⫔⩽⩺⋰*⋻1319⋓⋰*⋻1558)⇼⇔∾((⋰*⋻2202⩚⊴⇥⋰*⋻4282)⊍)≹⇙⪍(⋰*⋻1846∙∹∝⋰*⋻5413∪⫐⋰*⋻1017⪟⇏⋰*⋻1401)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2839,"operation_count":14,"complexity_ratio":202.78571428571428,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1316,"base":11},"right_expr":{"type":"numeric_atoms","value":6708,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2342,"base":11},"right_expr":{"type":"numeric_atoms","value":1887,"base":11}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":3580,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1714,"base":11},"right_expr":{"type":"numeric_atoms","value":1999,"base":11}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2906,"base":11},"right_expr":{"type":"numeric_atoms","value":5656,"base":11}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2349,"base":11},"right_expr":{"type":"numeric_atoms","value":7153,"base":11}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1349,"base":11},"right_expr":{"type":"numeric_atoms","value":1816,"base":11}}}}},"used_operators":["tifHPKVTfV","HiPekx5b7W","EWw2JM7wp4","LXhwmt4mBO","kuIXHzHcAH","i9eR4S00cU","LBdsKIvxzf","T2fj7uvVaJ","AHs5Up7iyr","3nqY3DE9mg","NTOWxs364D","7YooWSwCyH","HmxsFra2vL","GODebY97qR"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Tw270M8GLb","fu6greOZ01","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","2DDjHMKMc0","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1316","layer":4},{"info":"number node, value=6708","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=6708, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2342","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=1887, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1366","layer":2},{"info":"number node, value=3580","layer":4},{"info":"compute unary expreesion, input=3580, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=1999, 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=-447, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1366, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=2906","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=5656, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8683","layer":3},{"info":"compute unary expreesion, input=-8683, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-56187","layer":2},{"info":"number node, value=2349","layer":4},{"info":"number node, value=7153","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=7153, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1816, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-56187, 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=-56187","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-56187, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A97⨫⇇↔⋰*⋻5049⪉⨛⋰*⋻183A⪨⊡⋰*⋻1466)⨜⨶((⋰*⋻2765↠)⫔⩽⩺⋰*⋻1319⋓⋰*⋻1558)⇼⇔∾((⋰*⋻2202⩚⊴⇥⋰*⋻4282)⊍)≹⇙⪍(⋰*⋻1846∙∹∝⋰*⋻5413∪⫐⋰*⋻1017⪟⇏⋰*⋻1401)=NaN","reverse_text":"NaN=(⋰*⋻A97⨫⇇↔⋰*⋻5049⪉⨛⋰*⋻183A⪨⊡⋰*⋻1466)⨜⨶((⋰*⋻2765↠)⫔⩽⩺⋰*⋻1319⋓⋰*⋻1558)⇼⇔∾((⋰*⋻2202⩚⊴⇥⋰*⋻4282)⊍)≹⇙⪍(⋰*⋻1846∙∹∝⋰*⋻5413∪⫐⋰*⋻1017⪟⇏⋰*⋻1401)","cot":[{"info":"⋰*⋻A97⨫⇇↔⋰*⋻5049=⋰*⋻-43A","layer":3},{"info":"⋰*⋻183A⪨⊡⋰*⋻1466=⋰*⋻0","layer":3},{"info":"⋰*⋻-43A⪉⨛⋰*⋻0=⋰*⋻-1032","layer":2},{"info":"⋰*⋻2765↠=⋰*⋻-377","layer":3},{"info":"⋰*⋻1319⋓⋰*⋻1558=⋰*⋻0","layer":3},{"info":"⋰*⋻-377⫔⩽⩺⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻-1032⨜⨶NaN=NaN","layer":1},{"info":"⋰*⋻2202⩚⊴⇥⋰*⋻4282=⋰*⋻-6584","layer":3},{"info":"⋰*⋻-6584⊍=⋰*⋻-3923A","layer":2},{"info":"⋰*⋻1846∙∹∝⋰*⋻5413=⋰*⋻0","layer":3},{"info":"⋰*⋻1017⪟⇏⋰*⋻1401=⋰*⋻-1","layer":3},{"info":"⋰*⋻0∪⫐⋰*⋻-1=⋰*⋻0","layer":2},{"info":"⋰*⋻-3923A≹⇙⪍⋰*⋻0=⋰*⋻-3923A","layer":1},{"info":"NaN⇼⇔∾⋰*⋻-3923A=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"(($3637$≴⪞⇿$2821$)⇡⇂($4067$∝$6036$)∝($3689$⪶≀⋏$5771$)≄⊠$4807$∘$1574$)⇤(($4310$⪕$4903$)∊∟⩊($1959$∷$2094$)⨒($8287$⪮%⊝$1283$⪁$3063$⇄$1195$))","expression":"((⋰*⋻2807≴⪞⇿⋰*⋻2135)⇡⇂(⋰*⋻3068∝⋰*⋻4598)∝(⋰*⋻2854⪶≀⋏⋰*⋻4377)≄⊠⋰*⋻3680∘⋰*⋻1201)⇤((⋰*⋻3269⪕⋰*⋻3758)∊∟⩊(⋰*⋻1521∷⋰*⋻1634)⨒(⋰*⋻6254⪮%⊝⋰*⋻A67⪁⋰*⋻2335⇄⋰*⋻997))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":46220,"operation_count":15,"complexity_ratio":3081.3333333333335,"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":3637,"base":11},"right_expr":{"type":"numeric_atoms","value":2821,"base":11}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4067,"base":11},"right_expr":{"type":"numeric_atoms","value":6036,"base":11}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3689,"base":11},"right_expr":{"type":"numeric_atoms","value":5771,"base":11}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4807,"base":11},"right_expr":{"type":"numeric_atoms","value":1574,"base":11}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4310,"base":11},"right_expr":{"type":"numeric_atoms","value":4903,"base":11}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1959,"base":11},"right_expr":{"type":"numeric_atoms","value":2094,"base":11}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8287,"base":11},"right_expr":{"type":"numeric_atoms","value":1283,"base":11}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3063,"base":11},"right_expr":{"type":"numeric_atoms","value":1195,"base":11}}}}},"used_operators":["YSKBFp38Pu","cTDWOvIxvz","UMwdvZNt44","lvlrscuwVU","vXNesLlMH1","zR4jO40bMj","Z5m6OM72h2","y75s1iXyHd","ddLRYrp01A","umQnsF7QlU","D3AQDKkPcf","I7sXao9hZE","IWmyXbctLI","3EYGwJThht"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","NTOWxs364D","7j4O788W3g","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3637","layer":4},{"info":"number node, value=2821","layer":4},{"info":"compute binary expreesion, left_input=3637, right_input=2821, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=22633226","layer":3},{"info":"number node, value=4067","layer":4},{"info":"number node, value=6036","layer":4},{"info":"compute binary expreesion, left_input=4067, right_input=6036, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4072","layer":3},{"info":"compute binary expreesion, left_input=22633226, right_input=4072, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"number node, value=3689","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=5771, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-22841","layer":3},{"info":"number node, value=4807","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=4807, right_input=1574, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9614","layer":3},{"info":"compute binary expreesion, left_input=-22841, right_input=9614, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=158492","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=158492, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"number node, value=4310","layer":4},{"info":"number node, value=4903","layer":4},{"info":"compute binary expreesion, left_input=4310, right_input=4903, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4618","layer":3},{"info":"number node, value=1959","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=2094, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2094","layer":3},{"info":"compute binary expreesion, left_input=4618, right_input=2094, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2094","layer":2},{"info":"number node, value=8287","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=8287, right_input=1283, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16890","layer":3},{"info":"number node, value=3063","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=3063, right_input=1195, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=16890, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2094, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2807≴⪞⇿⋰*⋻2135)⇡⇂(⋰*⋻3068∝⋰*⋻4598)∝(⋰*⋻2854⪶≀⋏⋰*⋻4377)≄⊠⋰*⋻3680∘⋰*⋻1201)⇤((⋰*⋻3269⪕⋰*⋻3758)∊∟⩊(⋰*⋻1521∷⋰*⋻1634)⨒(⋰*⋻6254⪮%⊝⋰*⋻A67⪁⋰*⋻2335⇄⋰*⋻997))=NaN","reverse_text":"NaN=((⋰*⋻2807≴⪞⇿⋰*⋻2135)⇡⇂(⋰*⋻3068∝⋰*⋻4598)∝(⋰*⋻2854⪶≀⋏⋰*⋻4377)≄⊠⋰*⋻3680∘⋰*⋻1201)⇤((⋰*⋻3269⪕⋰*⋻3758)∊∟⩊(⋰*⋻1521∷⋰*⋻1634)⨒(⋰*⋻6254⪮%⊝⋰*⋻A67⪁⋰*⋻2335⇄⋰*⋻997))","cot":[{"info":"⋰*⋻2807≴⪞⇿⋰*⋻2135=⋰*⋻11859750","layer":3},{"info":"⋰*⋻3068∝⋰*⋻4598=⋰*⋻3072","layer":3},{"info":"⋰*⋻11859750⇡⇂⋰*⋻3072=NaN","layer":2},{"info":"⋰*⋻2854⪶≀⋏⋰*⋻4377=⋰*⋻-16185","layer":3},{"info":"⋰*⋻3680∘⋰*⋻1201=⋰*⋻7250","layer":3},{"info":"⋰*⋻-16185≄⊠⋰*⋻7250=⋰*⋻A9094","layer":2},{"info":"NaN∝⋰*⋻A9094=NaN","layer":1},{"info":"⋰*⋻3269⪕⋰*⋻3758=⋰*⋻3519","layer":3},{"info":"⋰*⋻1521∷⋰*⋻1634=⋰*⋻1634","layer":3},{"info":"⋰*⋻3519∊∟⩊⋰*⋻1634=⋰*⋻1634","layer":2},{"info":"⋰*⋻6254⪮%⊝⋰*⋻A67=⋰*⋻11765","layer":3},{"info":"⋰*⋻2335⇄⋰*⋻997=⋰*⋻0","layer":3},{"info":"⋰*⋻11765⪁⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1634⨒NaN=NaN","layer":1},{"info":"NaN⇤NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"(($5487$⊭↱$1884$)⫲≸⪮($2531$⩧⪆$3146$)≬⋮(⫓⪴$2570$⊴$1606$))⋥⋵⩄((⫖→$1403$⨐⩸⫘$1494$)⊝⪿⪼($3541$↳∿⪆$8128$∲⫓($6366$∪⫐$2622$)))","expression":"((⋰*⋻4139⊭↱⋰*⋻1463)⫲≸⪮(⋰*⋻19A1⩧⪆⋰*⋻2400)≬⋮(⫓⪴⋰*⋻1A27⊴⋰*⋻1230))⋥⋵⩄((⫖→⋰*⋻1066⨐⩸⫘⋰*⋻1139)⊝⪿⪼(⋰*⋻272A↳∿⪆⋰*⋻611A∲⫓(⋰*⋻4868∪⫐⋰*⋻1A74)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12901,"operation_count":13,"complexity_ratio":992.3846153846154,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":1884,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2531,"base":11},"right_expr":{"type":"numeric_atoms","value":3146,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2570,"base":11},"right_expr":{"type":"numeric_atoms","value":1606,"base":11}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1403,"base":11},"right_expr":{"type":"numeric_atoms","value":1494,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3541,"base":11},"right_expr":{"type":"numeric_atoms","value":8128,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6366,"base":11},"right_expr":{"type":"numeric_atoms","value":2622,"base":11}}}}},"used_operators":["7t3wd0Fuz7","kbkesczE7y","P3lXMJvFrc","COABgblf1C","Ikt5ks8PT7","eLxqMNBOBk","Nsiff2A1zJ","3Oe9XWJUTD","U4ylXWHChL","fu6greOZ01","i8ToyICDmI","Cw4SuJJGHO","7YooWSwCyH"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5487","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=5487, right_input=1884, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7201","layer":3},{"info":"number node, value=2531","layer":4},{"info":"number node, value=3146","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=3146, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3146","layer":3},{"info":"compute binary expreesion, left_input=-7201, right_input=-3146, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7201","layer":2},{"info":"number node, value=2570","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=2570, right_input=1606, 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":"compute binary expreesion, left_input=7201, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=1403","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=1494, 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 = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=3541","layer":4},{"info":"number node, value=8128","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=8128, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=6366","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=6366, right_input=2622, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6366","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6366, 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=177, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=12145","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12145, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4139⊭↱⋰*⋻1463)⫲≸⪮(⋰*⋻19A1⩧⪆⋰*⋻2400)≬⋮(⫓⪴⋰*⋻1A27⊴⋰*⋻1230))⋥⋵⩄((⫖→⋰*⋻1066⨐⩸⫘⋰*⋻1139)⊝⪿⪼(⋰*⋻272A↳∿⪆⋰*⋻611A∲⫓(⋰*⋻4868∪⫐⋰*⋻1A74)))=NaN","reverse_text":"NaN=((⋰*⋻4139⊭↱⋰*⋻1463)⫲≸⪮(⋰*⋻19A1⩧⪆⋰*⋻2400)≬⋮(⫓⪴⋰*⋻1A27⊴⋰*⋻1230))⋥⋵⩄((⫖→⋰*⋻1066⨐⩸⫘⋰*⋻1139)⊝⪿⪼(⋰*⋻272A↳∿⪆⋰*⋻611A∲⫓(⋰*⋻4868∪⫐⋰*⋻1A74)))","cot":[{"info":"⋰*⋻4139⊭↱⋰*⋻1463=⋰*⋻-5457","layer":3},{"info":"⋰*⋻19A1⩧⪆⋰*⋻2400=⋰*⋻-2400","layer":3},{"info":"⋰*⋻-5457⫲≸⪮⋰*⋻-2400=⋰*⋻5457","layer":2},{"info":"⋰*⋻1A27⊴⋰*⋻1230=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻5457≬⋮NaN=NaN","layer":1},{"info":"⋰*⋻1066⨐⩸⫘⋰*⋻1139=NaN","layer":3},{"info":"⫖→NaN=⋰*⋻151","layer":2},{"info":"⋰*⋻272A↳∿⪆⋰*⋻611A=NaN","layer":3},{"info":"⋰*⋻4868∪⫐⋰*⋻1A74=⋰*⋻4868","layer":3},{"info":"NaN∲⫓⋰*⋻4868=⋰*⋻0","layer":2},{"info":"⋰*⋻151⊝⪿⪼⋰*⋻0=⋰*⋻9141","layer":1},{"info":"NaN⋥⋵⩄⋰*⋻9141=NaN","layer":0}]}
{"id":319,"expression_no_base_symbol":"(⫎≠⋺($2235$⫁⪎$1729$∖$1981$⊴$1242$))∊∟⩊(($1166$⫔⩽⩺$1897$)⩣⫁∢($1514$∷$1536$)⩹$2829$⪕$4277$↱$1921$⩼⇪↪$4198$)","expression":"(⫎≠⋺(⋰*⋻1752⫁⪎⋰*⋻1332∖⋰*⋻1541⊴⋰*⋻A2A))∊∟⩊((⋰*⋻970⫔⩽⩺⋰*⋻1475)⩣⫁∢(⋰*⋻1157∷⋰*⋻1177)⩹⋰*⋻2142⪕⋰*⋻3239↱⋰*⋻1497⩼⇪↪⋰*⋻3177)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2052,"operation_count":12,"complexity_ratio":171.0,"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":2235,"base":11},"right_expr":{"type":"numeric_atoms","value":1729,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1981,"base":11},"right_expr":{"type":"numeric_atoms","value":1242,"base":11}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1166,"base":11},"right_expr":{"type":"numeric_atoms","value":1897,"base":11}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1514,"base":11},"right_expr":{"type":"numeric_atoms","value":1536,"base":11}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2829,"base":11},"right_expr":{"type":"numeric_atoms","value":4277,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1921,"base":11},"right_expr":{"type":"numeric_atoms","value":4198,"base":11}}}}},"used_operators":["ddLRYrp01A","LYeZOJ0nQG","tXD093vOjl","xRrnTEsQ6j","Nsiff2A1zJ","2Wsdkap16l","JDUIKTTSIa","i9eR4S00cU","D3AQDKkPcf","SR5kFfdi6N","umQnsF7QlU","ocnLzx9CaJ"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","NTOWxs364D","7j4O788W3g","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⋰*⋻-123811","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2235","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=1729, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=506","layer":3},{"info":"number node, value=1981","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=1242, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=506, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1897, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1514","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=1536, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1536","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1536, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=2829","layer":4},{"info":"number node, value=4277","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=4277, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2282","layer":3},{"info":"number node, value=1921","layer":4},{"info":"number node, value=4198","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=4198, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-26327","layer":3},{"info":"compute binary expreesion, left_input=2282, right_input=-26327, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-195304","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-195304, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-195306","layer":1},{"info":"compute binary expreesion, left_input=-709, right_input=-195306, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-195306","layer":0}],"base":11,"result_base":11,"text":"(⫎≠⋺(⋰*⋻1752⫁⪎⋰*⋻1332∖⋰*⋻1541⊴⋰*⋻A2A))∊∟⩊((⋰*⋻970⫔⩽⩺⋰*⋻1475)⩣⫁∢(⋰*⋻1157∷⋰*⋻1177)⩹⋰*⋻2142⪕⋰*⋻3239↱⋰*⋻1497⩼⇪↪⋰*⋻3177)=⋰*⋻-123811","reverse_text":"⋰*⋻-123811=(⫎≠⋺(⋰*⋻1752⫁⪎⋰*⋻1332∖⋰*⋻1541⊴⋰*⋻A2A))∊∟⩊((⋰*⋻970⫔⩽⩺⋰*⋻1475)⩣⫁∢(⋰*⋻1157∷⋰*⋻1177)⩹⋰*⋻2142⪕⋰*⋻3239↱⋰*⋻1497⩼⇪↪⋰*⋻3177)","cot":[{"info":"⋰*⋻1752⫁⪎⋰*⋻1332=⋰*⋻420","layer":3},{"info":"⋰*⋻1541⊴⋰*⋻A2A=NaN","layer":3},{"info":"⋰*⋻420∖NaN=⋰*⋻0","layer":2},{"info":"⫎≠⋺⋰*⋻0=⋰*⋻-595","layer":1},{"info":"⋰*⋻970⫔⩽⩺⋰*⋻1475=NaN","layer":3},{"info":"⋰*⋻1157∷⋰*⋻1177=⋰*⋻1177","layer":3},{"info":"NaN⩣⫁∢⋰*⋻1177=NaN","layer":2},{"info":"⋰*⋻2142⪕⋰*⋻3239=⋰*⋻1795","layer":3},{"info":"⋰*⋻1497⩼⇪↪⋰*⋻3177=⋰*⋻-18864","layer":3},{"info":"⋰*⋻1795↱⋰*⋻-18864=⋰*⋻-12380A","layer":2},{"info":"NaN⩹⋰*⋻-12380A=⋰*⋻-123811","layer":1},{"info":"⋰*⋻-595∊∟⩊⋰*⋻-123811=⋰*⋻-123811","layer":0}]}
{"id":320,"expression_no_base_symbol":"((⇺⋃$1248$)⨘⋶⪀)⪎↠(($1264$⇼⇔∾$2664$)⇮⋭(⊢≑≆$2260$))⩧⪆(⊽(-(⪹$3590$)))","expression":"((⇺⋃⋰*⋻A35)⨘⋶⪀)⪎↠((⋰*⋻A4A⇼⇔∾⋰*⋻2002)⇮⋭(⊢≑≆⋰*⋻1775))⩧⪆(⊽(-(⪹⋰*⋻2774)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":213,"operation_count":10,"complexity_ratio":21.3,"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":1248,"base":11}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1264,"base":11},"right_expr":{"type":"numeric_atoms","value":2664,"base":11}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2260,"base":11}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3590,"base":11}}}}},"used_operators":["Ikt5ks8PT7","3tVxb0NHM4","XVKwrhznBb","E5v5B3UAjG","vkpjKywKVM","tifHPKVTfV","27wFxooxGf","QxG7OkqoLX","t8gj7n24qd","USyYr0JgAa"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","tifHPKVTfV"],"result":"⋰*⋻-62A4","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1248","layer":4},{"info":"compute unary expreesion, input=1248, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"number node, value=1264","layer":4},{"info":"number node, value=2664","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=2664, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1400","layer":3},{"info":"number node, value=2260","layer":4},{"info":"compute unary expreesion, input=2260, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=9492","layer":3},{"info":"compute binary expreesion, left_input=1400, right_input=9492, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"number node, value=3590","layer":4},{"info":"compute unary expreesion, input=3590, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-3410","layer":3},{"info":"compute unary expreesion, input=-3410, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3410","layer":2},{"info":"compute unary expreesion, input=3410, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=8342","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8342, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-8342","layer":0}],"base":11,"result_base":11,"text":"((⇺⋃⋰*⋻A35)⨘⋶⪀)⪎↠((⋰*⋻A4A⇼⇔∾⋰*⋻2002)⇮⋭(⊢≑≆⋰*⋻1775))⩧⪆(⊽(-(⪹⋰*⋻2774)))=⋰*⋻-62A4","reverse_text":"⋰*⋻-62A4=((⇺⋃⋰*⋻A35)⨘⋶⪀)⪎↠((⋰*⋻A4A⇼⇔∾⋰*⋻2002)⇮⋭(⊢≑≆⋰*⋻1775))⩧⪆(⊽(-(⪹⋰*⋻2774)))","cot":[{"info":"⇺⋃⋰*⋻A35=NaN","layer":3},{"info":"NaN⨘⋶⪀=NaN","layer":2},{"info":"⋰*⋻A4A⇼⇔∾⋰*⋻2002=⋰*⋻1063","layer":3},{"info":"⊢≑≆⋰*⋻1775=⋰*⋻714A","layer":3},{"info":"⋰*⋻1063⇮⋭⋰*⋻714A=⋰*⋻-3A0","layer":2},{"info":"NaN⪎↠⋰*⋻-3A0=NaN","layer":1},{"info":"⪹⋰*⋻2774=⋰*⋻-2620","layer":3},{"info":"-⋰*⋻-2620=⋰*⋻2620","layer":2},{"info":"⊽⋰*⋻2620=⋰*⋻62A4","layer":1},{"info":"NaN⩧⪆⋰*⋻62A4=⋰*⋻-62A4","layer":0}]}
{"id":321,"expression_no_base_symbol":"((⇈$2915$)⩼⇪↪$5156$⫞⩸⩒$4161$⪮%⊝(⇵⪽($3327$≓∲$1626$)))⊴(($1165$∌$5655$)⩣⫁∢($3899$⊭↱$3997$)⋻⩜⩜(∤↝($1945$⇽⩪)))","expression":"((⇈⋰*⋻2210)⩼⇪↪⋰*⋻3968⫞⩸⩒⋰*⋻3143⪮%⊝(⇵⪽(⋰*⋻2555≓∲⋰*⋻1249)))⊴((⋰*⋻96A∌⋰*⋻4281)⩣⫁∢(⋰*⋻2A25⊭↱⋰*⋻3004)⋻⩜⩜(∤↝(⋰*⋻1509⇽⩪)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":109305,"operation_count":13,"complexity_ratio":8408.076923076924,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2915,"base":11}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5156,"base":11},"right_expr":{"type":"numeric_atoms","value":4161,"base":11}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3327,"base":11},"right_expr":{"type":"numeric_atoms","value":1626,"base":11}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1165,"base":11},"right_expr":{"type":"numeric_atoms","value":5655,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3899,"base":11},"right_expr":{"type":"numeric_atoms","value":3997,"base":11}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1945,"base":11}}}}},"used_operators":["Nsiff2A1zJ","IWmyXbctLI","ocnLzx9CaJ","SLLxy00UIr","XGcMNugi78","ZGCBLdVRRX","s1XTVnmDOJ","oDCm7WA9JY","JDUIKTTSIa","8cLx32lpNA","COABgblf1C","3UMq87Qwqg","FonBHBYJbU"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","U7g4x0WXJJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2915","layer":4},{"info":"compute unary expreesion, input=2915, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=5156","layer":4},{"info":"number node, value=4161","layer":4},{"info":"compute binary expreesion, left_input=5156, right_input=4161, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4161","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=4161, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-30804","layer":2},{"info":"number node, value=3327","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=1626, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=34053","layer":3},{"info":"compute unary expreesion, input=34053, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30804, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1165","layer":4},{"info":"number node, value=5655","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=5655, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5655","layer":3},{"info":"number node, value=3899","layer":4},{"info":"number node, value=3997","layer":4},{"info":"compute binary expreesion, left_input=3899, right_input=3997, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=201","layer":3},{"info":"compute binary expreesion, left_input=-5655, right_input=201, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=23185","layer":2},{"info":"number node, value=1945","layer":4},{"info":"compute unary expreesion, input=1945, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=4412","layer":3},{"info":"compute unary expreesion, input=4412, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=4412","layer":2},{"info":"compute binary expreesion, left_input=23185, right_input=4412, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=46370","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=46370, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇈⋰*⋻2210)⩼⇪↪⋰*⋻3968⫞⩸⩒⋰*⋻3143⪮%⊝(⇵⪽(⋰*⋻2555≓∲⋰*⋻1249)))⊴((⋰*⋻96A∌⋰*⋻4281)⩣⫁∢(⋰*⋻2A25⊭↱⋰*⋻3004)⋻⩜⩜(∤↝(⋰*⋻1509⇽⩪)))=NaN","reverse_text":"NaN=((⇈⋰*⋻2210)⩼⇪↪⋰*⋻3968⫞⩸⩒⋰*⋻3143⪮%⊝(⇵⪽(⋰*⋻2555≓∲⋰*⋻1249)))⊴((⋰*⋻96A∌⋰*⋻4281)⩣⫁∢(⋰*⋻2A25⊭↱⋰*⋻3004)⋻⩜⩜(∤↝(⋰*⋻1509⇽⩪)))","cot":[{"info":"⇈⋰*⋻2210=⋰*⋻-377","layer":3},{"info":"⋰*⋻3968⫞⩸⩒⋰*⋻3143=⋰*⋻3143","layer":3},{"info":"⋰*⋻-377⩼⇪↪⋰*⋻3143=⋰*⋻-21164","layer":2},{"info":"⋰*⋻2555≓∲⋰*⋻1249=⋰*⋻23648","layer":3},{"info":"⇵⪽⋰*⋻23648=NaN","layer":2},{"info":"⋰*⋻-21164⪮%⊝NaN=NaN","layer":1},{"info":"⋰*⋻96A∌⋰*⋻4281=⋰*⋻-4281","layer":3},{"info":"⋰*⋻2A25⊭↱⋰*⋻3004=⋰*⋻173","layer":3},{"info":"⋰*⋻-4281⩣⫁∢⋰*⋻173=⋰*⋻16468","layer":2},{"info":"⋰*⋻1509⇽⩪=⋰*⋻3351","layer":3},{"info":"∤↝⋰*⋻3351=⋰*⋻3351","layer":2},{"info":"⋰*⋻16468⋻⩜⩜⋰*⋻3351=⋰*⋻31925","layer":1},{"info":"NaN⊴⋰*⋻31925=NaN","layer":0}]}
{"id":322,"expression_no_base_symbol":"(($3315$⫑)∛$1705$↞⋁$5313$)⫁⪎(↓⇌($6320$⪬∳))⪨≂(⨣⨃⇪(($1471$⪉⨛$2165$)⫸⇳($1075$⇋≉)))","expression":"((⋰*⋻2544⫑)∛⋰*⋻1310↞⋁⋰*⋻3AA0)⫁⪎(↓⇌(⋰*⋻4826⪬∳))⪨≂(⨣⨃⇪((⋰*⋻1118⪉⨛⋰*⋻1699)⫸⇳(⋰*⋻898⇋≉)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19541,"operation_count":11,"complexity_ratio":1776.4545454545455,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":3315,"base":11}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1705,"base":11},"right_expr":{"type":"numeric_atoms","value":5313,"base":11}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":6320,"base":11}}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1471,"base":11},"right_expr":{"type":"numeric_atoms","value":2165,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1075,"base":11}}}}},"used_operators":["sdazOOVcIp","xRrnTEsQ6j","w2537kitQq","CgIo77xlM2","RqrPlJkxDo","PxpmPgHHJV","O9U3z1385E","AcOhelriW5","gx7XJ7hdpj","EWw2JM7wp4","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻219","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3315","layer":4},{"info":"compute unary expreesion, input=3315, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=5313","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=5313, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=6320","layer":4},{"info":"compute unary expreesion, input=6320, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute unary expreesion, input=-709, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-1418","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1418, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1485","layer":1},{"info":"number node, value=1471","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=2165, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2463","layer":3},{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2052","layer":3},{"info":"compute binary expreesion, left_input=2463, right_input=2052, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=1485, right_input=1405, 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=262","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2544⫑)∛⋰*⋻1310↞⋁⋰*⋻3AA0)⫁⪎(↓⇌(⋰*⋻4826⪬∳))⪨≂(⨣⨃⇪((⋰*⋻1118⪉⨛⋰*⋻1699)⫸⇳(⋰*⋻898⇋≉)))=⋰*⋻219","reverse_text":"⋰*⋻219=((⋰*⋻2544⫑)∛⋰*⋻1310↞⋁⋰*⋻3AA0)⫁⪎(↓⇌(⋰*⋻4826⪬∳))⪨≂(⨣⨃⇪((⋰*⋻1118⪉⨛⋰*⋻1699)⫸⇳(⋰*⋻898⇋≉)))","cot":[{"info":"⋰*⋻2544⫑=⋰*⋻2A98","layer":3},{"info":"⋰*⋻1310↞⋁⋰*⋻3AA0=NaN","layer":3},{"info":"⋰*⋻2A98∛NaN=⋰*⋻61","layer":2},{"info":"⋰*⋻4826⪬∳=⋰*⋻-595","layer":3},{"info":"↓⇌⋰*⋻-595=⋰*⋻-107A","layer":2},{"info":"⋰*⋻61⫁⪎⋰*⋻-107A=⋰*⋻1130","layer":1},{"info":"⋰*⋻1118⪉⨛⋰*⋻1699=⋰*⋻193A","layer":3},{"info":"⋰*⋻898⇋≉=⋰*⋻15A6","layer":3},{"info":"⋰*⋻193A⫸⇳⋰*⋻15A6=⋰*⋻0","layer":2},{"info":"⨣⨃⇪⋰*⋻0=⋰*⋻1068","layer":1},{"info":"⋰*⋻1130⪨≂⋰*⋻1068=⋰*⋻219","layer":0}]}
{"id":323,"expression_no_base_symbol":"(($5596$≃$4859$)≃⋄)⨑≵⋬$7737$⨑⩅≇$3699$≹⇙⪍($3197$⪍↜⋙$3050$)⫦⪉($1481$⇍⊗$1678$⨫⇇↔$2996$⩁⩘$5314$)⨿(($3144$⩒⫫$1185$)⪢(⊑$1759$))","expression":"((⋰*⋻4228≃⋰*⋻3718)≃⋄)⨑≵⋬⋰*⋻58A4⨑⩅≇⋰*⋻2863≹⇙⪍(⋰*⋻2447⪍↜⋙⋰*⋻2323)⫦⪉(⋰*⋻1127⇍⊗⋰*⋻1296⨫⇇↔⋰*⋻2284⩁⩘⋰*⋻3AA1)⨿((⋰*⋻23A9⩒⫫⋰*⋻988)⪢(⊑⋰*⋻135A))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":97613,"operation_count":14,"complexity_ratio":6972.357142857143,"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":5596,"base":11},"right_expr":{"type":"numeric_atoms","value":4859,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":7737,"base":11},"right_expr":{"type":"numeric_atoms","value":3699,"base":11}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3197,"base":11},"right_expr":{"type":"numeric_atoms","value":3050,"base":11}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1481,"base":11},"right_expr":{"type":"numeric_atoms","value":1678,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2996,"base":11},"right_expr":{"type":"numeric_atoms","value":5314,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3144,"base":11},"right_expr":{"type":"numeric_atoms","value":1185,"base":11}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1759,"base":11}}}}},"used_operators":["wscyQdcy20","XnXgA4xnOs","aN9a90urxU","YbVcJGFEVW","AHs5Up7iyr","h92wMvzauj","L05ObWFQCd","abYXlopdE0","LXhwmt4mBO","5uvYHDjeKN","gub5Cegaqo","dWAJyo7jo9","KFSx94NKJn","IkUmn0D7oy"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","uFcxV4UQCh","jLgFTUHLKL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DpFCA1CohY","IWmyXbctLI","k8jYdgA6NY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5596","layer":4},{"info":"number node, value=4859","layer":4},{"info":"compute binary expreesion, left_input=5596, right_input=4859, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-22424","layer":3},{"info":"compute unary expreesion, input=-22424, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=91308","layer":2},{"info":"number node, value=7737","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=7737, right_input=3699, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-23211","layer":3},{"info":"number node, value=3197","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=3050, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=294","layer":3},{"info":"compute binary expreesion, left_input=-23211, right_input=294, 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=91308, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1678, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2996","layer":4},{"info":"number node, value=5314","layer":4},{"info":"compute binary expreesion, left_input=2996, right_input=5314, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=22204","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=22204, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=3144","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=1185, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2842","layer":3},{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=2842, right_input=192, 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=-527, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4228≃⋰*⋻3718)≃⋄)⨑≵⋬⋰*⋻58A4⨑⩅≇⋰*⋻2863≹⇙⪍(⋰*⋻2447⪍↜⋙⋰*⋻2323)⫦⪉(⋰*⋻1127⇍⊗⋰*⋻1296⨫⇇↔⋰*⋻2284⩁⩘⋰*⋻3AA1)⨿((⋰*⋻23A9⩒⫫⋰*⋻988)⪢(⊑⋰*⋻135A))=NaN","reverse_text":"NaN=((⋰*⋻4228≃⋰*⋻3718)≃⋄)⨑≵⋬⋰*⋻58A4⨑⩅≇⋰*⋻2863≹⇙⪍(⋰*⋻2447⪍↜⋙⋰*⋻2323)⫦⪉(⋰*⋻1127⇍⊗⋰*⋻1296⨫⇇↔⋰*⋻2284⩁⩘⋰*⋻3AA1)⨿((⋰*⋻23A9⩒⫫⋰*⋻988)⪢(⊑⋰*⋻135A))","cot":[{"info":"⋰*⋻4228≃⋰*⋻3718=⋰*⋻-15936","layer":3},{"info":"⋰*⋻-15936≃⋄=⋰*⋻62668","layer":2},{"info":"⋰*⋻58A4⨑⩅≇⋰*⋻2863=⋰*⋻-16491","layer":3},{"info":"⋰*⋻2447⪍↜⋙⋰*⋻2323=⋰*⋻248","layer":3},{"info":"⋰*⋻-16491≹⇙⪍⋰*⋻248=NaN","layer":2},{"info":"⋰*⋻62668⨑≵⋬NaN=NaN","layer":1},{"info":"⋰*⋻1127⇍⊗⋰*⋻1296=⋰*⋻-202","layer":3},{"info":"⋰*⋻2284⩁⩘⋰*⋻3AA1=⋰*⋻15756","layer":3},{"info":"⋰*⋻-202⨫⇇↔⋰*⋻15756=⋰*⋻-43A","layer":2},{"info":"⋰*⋻23A9⩒⫫⋰*⋻988=⋰*⋻2154","layer":3},{"info":"⊑⋰*⋻135A=⋰*⋻165","layer":3},{"info":"⋰*⋻2154⪢⋰*⋻165=NaN","layer":2},{"info":"⋰*⋻-43A⨿NaN=⋰*⋻61","layer":1},{"info":"NaN⫦⪉⋰*⋻61=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"((≱⇩⩕$1510$⋳⪒$9679$)∼($1642$≀⩗∶$1004$⫳≱↱(≯$1035$)))⫘(≱⇩⩕(⫵↿$4390$∳⫺$7040$))","expression":"((≱⇩⩕⋰*⋻1153⋳⪒⋰*⋻72AA)∼(⋰*⋻1263≀⩗∶⋰*⋻833⫳≱↱(≯⋰*⋻861)))⫘(≱⇩⩕(⫵↿⋰*⋻3331∳⫺⋰*⋻5320))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3157,"operation_count":10,"complexity_ratio":315.7,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1510,"base":11},"right_expr":{"type":"numeric_atoms","value":9679,"base":11}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1642,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1035,"base":11}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4390,"base":11},"right_expr":{"type":"numeric_atoms","value":7040,"base":11}}}}},"used_operators":["48vC8HMD2b","DyGG3AbaNP","3DZMoQKiUl","12rbrZMWeM","ZvLB05nZmT","8INZBEW696","keWfFq85dY","ivGwdmUAux","AzXXKTstlj"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","g55IO6H4Gj","JLbD19bQDL","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":4},{"info":"number node, value=9679","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=9679, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6946","layer":3},{"info":"compute unary expreesion, input=-6946, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=49232","layer":2},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1004, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":2},{"info":"compute binary expreesion, left_input=49232, right_input=-471, 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=4390","layer":4},{"info":"number node, value=7040","layer":4},{"info":"compute binary expreesion, left_input=4390, right_input=7040, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute unary expreesion, input=137, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≱⇩⩕⋰*⋻1153⋳⪒⋰*⋻72AA)∼(⋰*⋻1263≀⩗∶⋰*⋻833⫳≱↱(≯⋰*⋻861)))⫘(≱⇩⩕(⫵↿⋰*⋻3331∳⫺⋰*⋻5320))=NaN","reverse_text":"NaN=((≱⇩⩕⋰*⋻1153⋳⪒⋰*⋻72AA)∼(⋰*⋻1263≀⩗∶⋰*⋻833⫳≱↱(≯⋰*⋻861)))⫘(≱⇩⩕(⫵↿⋰*⋻3331∳⫺⋰*⋻5320))","cot":[{"info":"⋰*⋻1153⋳⪒⋰*⋻72AA=⋰*⋻-5245","layer":3},{"info":"≱⇩⩕⋰*⋻-5245=⋰*⋻33A97","layer":2},{"info":"⋰*⋻1263≀⩗∶⋰*⋻833=⋰*⋻0","layer":3},{"info":"≯⋰*⋻861=⋰*⋻0","layer":3},{"info":"⋰*⋻0⫳≱↱⋰*⋻0=⋰*⋻-399","layer":2},{"info":"⋰*⋻33A97∼⋰*⋻-399=⋰*⋻0","layer":1},{"info":"⋰*⋻3331∳⫺⋰*⋻5320=⋰*⋻-217","layer":3},{"info":"⫵↿⋰*⋻-217=⋰*⋻115","layer":2},{"info":"≱⇩⩕⋰*⋻115=⋰*⋻A3","layer":1},{"info":"⋰*⋻0⫘⋰*⋻A3=NaN","layer":0}]}
{"id":325,"expression_no_base_symbol":"∥⊫(⇘(⇈($1214$⫸⊐$5613$)))","expression":"∥⊫(⇘(⇈(⋰*⋻A04⫸⊐⋰*⋻4243)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1981,"operation_count":4,"complexity_ratio":495.25,"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":1214,"base":11},"right_expr":{"type":"numeric_atoms","value":5613,"base":11}}}}},"used_operators":["P8v4zCKN1o","MGuIdZPyUC","SLLxy00UIr","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻-50","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":4},{"info":"number node, value=5613","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=5613, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22327","layer":3},{"info":"compute unary expreesion, input=22327, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-6792787","layer":1},{"info":"compute unary expreesion, input=-6792787, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":11,"result_base":11,"text":"∥⊫(⇘(⇈(⋰*⋻A04⫸⊐⋰*⋻4243)))=⋰*⋻-50","reverse_text":"⋰*⋻-50=∥⊫(⇘(⇈(⋰*⋻A04⫸⊐⋰*⋻4243)))","cot":[{"info":"⋰*⋻A04⫸⊐⋰*⋻4243=⋰*⋻15858","layer":3},{"info":"⇈⋰*⋻15858=⋰*⋻-377","layer":2},{"info":"⇘⋰*⋻-377=⋰*⋻-391A581","layer":1},{"info":"∥⊫⋰*⋻-391A581=⋰*⋻-50","layer":0}]}
{"id":326,"expression_no_base_symbol":"(⋼∭⪍((⊽$8495$)⋥≓≎($2571$∠⫱$1063$)))⊭↱(($2598$→⨶⪴$4582$)⨿$1917$⊮⊟↴$1091$⩤)","expression":"(⋼∭⪍((⊽⋰*⋻6423)⋥≓≎(⋰*⋻1A28∠⫱⋰*⋻887)))⊭↱((⋰*⋻1A52→⨶⪴⋰*⋻3496)⨿⋰*⋻1493⊮⊟↴⋰*⋻902⩤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41710,"operation_count":9,"complexity_ratio":4634.444444444444,"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":8495,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2571,"base":11},"right_expr":{"type":"numeric_atoms","value":1063,"base":11}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2598,"base":11},"right_expr":{"type":"numeric_atoms","value":4582,"base":11}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1917,"base":11},"right_expr":{"type":"numeric_atoms","value":1091,"base":11}}}}},"used_operators":["COABgblf1C","DbCuESL50I","Qy55tPpLXF","QxG7OkqoLX","QvoQhV0rrE","Z2TMIBDE3Q","abYXlopdE0","bF6eod5Gvf","QDVgd2eftb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","8w2t5hMYqp","9FxExcQeMw","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⋰*⋻121113","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8495","layer":4},{"info":"compute unary expreesion, input=8495, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=18512","layer":3},{"info":"number node, value=2571","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=2571, right_input=1063, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=18512, right_input=1234, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-16011","layer":2},{"info":"compute unary expreesion, input=-16011, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-95964","layer":1},{"info":"number node, value=2598","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=2598, right_input=4582, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-13746","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1091, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-13746, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-67","layer":1},{"info":"compute binary expreesion, left_input=-95964, right_input=-67, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=191799","layer":0}],"base":11,"result_base":11,"text":"(⋼∭⪍((⊽⋰*⋻6423)⋥≓≎(⋰*⋻1A28∠⫱⋰*⋻887)))⊭↱((⋰*⋻1A52→⨶⪴⋰*⋻3496)⨿⋰*⋻1493⊮⊟↴⋰*⋻902⩤)=⋰*⋻121113","reverse_text":"⋰*⋻121113=(⋼∭⪍((⊽⋰*⋻6423)⋥≓≎(⋰*⋻1A28∠⫱⋰*⋻887)))⊭↱((⋰*⋻1A52→⨶⪴⋰*⋻3496)⨿⋰*⋻1493⊮⊟↴⋰*⋻902⩤)","cot":[{"info":"⊽⋰*⋻6423=⋰*⋻129AA","layer":3},{"info":"⋰*⋻1A28∠⫱⋰*⋻887=⋰*⋻A22","layer":3},{"info":"⋰*⋻129AA⋥≓≎⋰*⋻A22=⋰*⋻-11036","layer":2},{"info":"⋼∭⪍⋰*⋻-11036=⋰*⋻-66110","layer":1},{"info":"⋰*⋻1A52→⨶⪴⋰*⋻3496=⋰*⋻-A367","layer":3},{"info":"⋰*⋻1493⊮⊟↴⋰*⋻902=⋰*⋻0","layer":3},{"info":"⋰*⋻-A367⨿⋰*⋻0=⋰*⋻61","layer":2},{"info":"⋰*⋻61⩤=⋰*⋻-61","layer":1},{"info":"⋰*⋻-66110⊭↱⋰*⋻-61=⋰*⋻121113","layer":0}]}
{"id":327,"expression_no_base_symbol":"⨩∲⋌(($1090$⋣⋖$4462$)∓⋝($2902$⨱∎)≨(↥($2277$⨕⋳)))","expression":"⨩∲⋌((⋰*⋻901⋣⋖⋰*⋻3397)∓⋝(⋰*⋻21A9⨱∎)≨(↥(⋰*⋻1790⨕⋳)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24440,"operation_count":7,"complexity_ratio":3491.4285714285716,"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":1090,"base":11},"right_expr":{"type":"numeric_atoms","value":4462,"base":11}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2902,"base":11}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2277,"base":11}}}}},"used_operators":["aSik1wnThz","0KMCeP1Jsh","PoHhknlbAi","J0M6qkBnIM","MmTdOpaElr","A8NUZmVepG","4X4GscPmMf"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tifHPKVTfV","k8jYdgA6NY","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ"],"result":"⋰*⋻-6225","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=4462, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1090","layer":3},{"info":"number node, value=2902","layer":4},{"info":"compute unary expreesion, input=2902, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1090, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3538","layer":2},{"info":"number node, value=2277","layer":4},{"info":"compute unary expreesion, input=2277, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=120004","layer":3},{"info":"compute unary expreesion, input=120004, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=-3538, right_input=1, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=7732","layer":1},{"info":"compute unary expreesion, input=7732, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-8255","layer":0}],"base":11,"result_base":11,"text":"⨩∲⋌((⋰*⋻901⋣⋖⋰*⋻3397)∓⋝(⋰*⋻21A9⨱∎)≨(↥(⋰*⋻1790⨕⋳)))=⋰*⋻-6225","reverse_text":"⋰*⋻-6225=⨩∲⋌((⋰*⋻901⋣⋖⋰*⋻3397)∓⋝(⋰*⋻21A9⨱∎)≨(↥(⋰*⋻1790⨕⋳)))","cot":[{"info":"⋰*⋻901⋣⋖⋰*⋻3397=⋰*⋻901","layer":3},{"info":"⋰*⋻21A9⨱∎=⋰*⋻0","layer":3},{"info":"⋰*⋻901∓⋝⋰*⋻0=⋰*⋻-2727","layer":2},{"info":"⋰*⋻1790⨕⋳=⋰*⋻82185","layer":3},{"info":"↥⋰*⋻82185=⋰*⋻1","layer":2},{"info":"⋰*⋻-2727≨⋰*⋻1=⋰*⋻589A","layer":1},{"info":"⨩∲⋌⋰*⋻589A=⋰*⋻-6225","layer":0}]}
{"id":328,"expression_no_base_symbol":"(⊢≑≆$6390$↳≱$3680$)⇂≾⫗($1167$⋥≓≎$5070$⪄(-$1207$))≥⨤⩑($2153$⪪$4166$≳⇉($4129$⩒⫫$5520$)≬⇓($3655$⨑⩅≇$5619$⊪))","expression":"(⊢≑≆⋰*⋻488A↳≱⋰*⋻2846)⇂≾⫗(⋰*⋻971⋥≓≎⋰*⋻389A⪄(-⋰*⋻9A8))≥⨤⩑(⋰*⋻1688⪪⋰*⋻3148≳⇉(⋰*⋻3114⩒⫫⋰*⋻4169)≬⇓(⋰*⋻2823⨑⩅≇⋰*⋻4249⊪))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":264925292,"operation_count":13,"complexity_ratio":20378868.615384616,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6390,"base":11},"right_expr":{"type":"numeric_atoms","value":3680,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1167,"base":11},"right_expr":{"type":"numeric_atoms","value":5070,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1207,"base":11}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2153,"base":11},"right_expr":{"type":"numeric_atoms","value":4166,"base":11}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4129,"base":11},"right_expr":{"type":"numeric_atoms","value":5520,"base":11}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3655,"base":11},"right_expr":{"type":"numeric_atoms","value":5619,"base":11}}}}},"used_operators":["gJLn6v0xnP","aBQ6xLxuTc","27wFxooxGf","JwTKLfZU96","SUmda5xLS4","Qy55tPpLXF","t8gj7n24qd","jWTQ2TZYIH","V0kx6qeWkN","xD69zh8xqp","KFSx94NKJn","zVYPLywUTj","h92wMvzauj"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6390","layer":4},{"info":"number node, value=3680","layer":4},{"info":"compute binary expreesion, left_input=6390, right_input=3680, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=193","layer":2},{"info":"number node, value=1167","layer":4},{"info":"number node, value=5070","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=5070, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9006","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1207","layer":3},{"info":"compute binary expreesion, left_input=9006, right_input=-1207, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1324149","layer":2},{"info":"compute binary expreesion, left_input=193, right_input=-1324149, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=2153","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=4166, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-321192","layer":3},{"info":"number node, value=4129","layer":4},{"info":"number node, value=5520","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=5520, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3827","layer":3},{"info":"compute binary expreesion, left_input=-321192, right_input=3827, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=3655","layer":4},{"info":"number node, value=5619","layer":4},{"info":"compute binary expreesion, left_input=3655, right_input=5619, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-10965","layer":3},{"info":"compute unary expreesion, input=-10965, 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=1203584612","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1203584612, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=-22, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"(⊢≑≆⋰*⋻488A↳≱⋰*⋻2846)⇂≾⫗(⋰*⋻971⋥≓≎⋰*⋻389A⪄(-⋰*⋻9A8))≥⨤⩑(⋰*⋻1688⪪⋰*⋻3148≳⇉(⋰*⋻3114⩒⫫⋰*⋻4169)≬⇓(⋰*⋻2823⨑⩅≇⋰*⋻4249⊪))=⋰*⋻A22","reverse_text":"⋰*⋻A22=(⊢≑≆⋰*⋻488A↳≱⋰*⋻2846)⇂≾⫗(⋰*⋻971⋥≓≎⋰*⋻389A⪄(-⋰*⋻9A8))≥⨤⩑(⋰*⋻1688⪪⋰*⋻3148≳⇉(⋰*⋻3114⩒⫫⋰*⋻4169)≬⇓(⋰*⋻2823⨑⩅≇⋰*⋻4249⊪))","cot":[{"info":"⋰*⋻488A↳≱⋰*⋻2846=⋰*⋻0","layer":3},{"info":"⊢≑≆⋰*⋻0=⋰*⋻166","layer":2},{"info":"⋰*⋻971⋥≓≎⋰*⋻389A=⋰*⋻6848","layer":3},{"info":"-⋰*⋻9A8=⋰*⋻-9A8","layer":3},{"info":"⋰*⋻6848⪄⋰*⋻-9A8=⋰*⋻-824942","layer":2},{"info":"⋰*⋻166⇂≾⫗⋰*⋻-824942=⋰*⋻-55A","layer":1},{"info":"⋰*⋻1688⪪⋰*⋻3148=⋰*⋻-1AA353","layer":3},{"info":"⋰*⋻3114⩒⫫⋰*⋻4169=⋰*⋻296A","layer":3},{"info":"⋰*⋻-1AA353≳⇉⋰*⋻296A=NaN","layer":2},{"info":"⋰*⋻2823⨑⩅≇⋰*⋻4249=⋰*⋻-8269","layer":3},{"info":"⋰*⋻-8269⊪=⋰*⋻568434A2A","layer":2},{"info":"NaN≬⇓⋰*⋻568434A2A=⋰*⋻-20","layer":1},{"info":"⋰*⋻-55A≥⨤⩑⋰*⋻-20=⋰*⋻A22","layer":0}]}
{"id":329,"expression_no_base_symbol":"(((≛$2218$)⪒$4390$∀⇚≩$2937$)⨐⩸⫘(⪁⇼$1173$)≠≀$5218$⇍⊗$3821$)∠↢((⊖∈$3462$⨜⨶$3950$)⇚⪠)","expression":"(((≛⋰*⋻1737)⪒⋰*⋻3331∀⇚≩⋰*⋻2230)⨐⩸⫘(⪁⇼⋰*⋻977)≠≀⋰*⋻3A14⇍⊗⋰*⋻2964)∠↢((⊖∈⋰*⋻2668⨜⨶⋰*⋻2A71)⇚⪠)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":145034,"operation_count":11,"complexity_ratio":13184.90909090909,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2218,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4390,"base":11},"right_expr":{"type":"numeric_atoms","value":2937,"base":11}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1173,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5218,"base":11},"right_expr":{"type":"numeric_atoms","value":3821,"base":11}}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3462,"base":11},"right_expr":{"type":"numeric_atoms","value":3950,"base":11}}}}},"used_operators":["KbjG8mgYpV","fu6greOZ01","f6k1SAg4EE","W7eaUhjymW","LRNGc0VcxI","IwW236VD4Y","ZNVVrZ94lY","5uvYHDjeKN","Loh9y4A90B","YFxL8Sc2Zy","HiPekx5b7W"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","X99M06cbEe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"-Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2218","layer":4},{"info":"compute unary expreesion, input=2218, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=4390","layer":4},{"info":"number node, value=2937","layer":4},{"info":"compute binary expreesion, left_input=4390, right_input=2937, 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=-10, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1173","layer":4},{"info":"compute unary expreesion, input=1173, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=5218","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=5218, right_input=3821, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=-244, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-299","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-299, 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=302","layer":1},{"info":"number node, value=3462","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=3462, right_input=3950, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-7644","layer":3},{"info":"compute unary expreesion, input=-7644, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=1170230498","layer":2},{"info":"compute unary expreesion, input=1170230498, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=302, right_input=inf, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-inf","layer":0}],"base":11,"result_base":11,"text":"(((≛⋰*⋻1737)⪒⋰*⋻3331∀⇚≩⋰*⋻2230)⨐⩸⫘(⪁⇼⋰*⋻977)≠≀⋰*⋻3A14⇍⊗⋰*⋻2964)∠↢((⊖∈⋰*⋻2668⨜⨶⋰*⋻2A71)⇚⪠)=-Inf","reverse_text":"-Inf=(((≛⋰*⋻1737)⪒⋰*⋻3331∀⇚≩⋰*⋻2230)⨐⩸⫘(⪁⇼⋰*⋻977)≠≀⋰*⋻3A14⇍⊗⋰*⋻2964)∠↢((⊖∈⋰*⋻2668⨜⨶⋰*⋻2A71)⇚⪠)","cot":[{"info":"≛⋰*⋻1737=⋰*⋻-A","layer":3},{"info":"⋰*⋻3331∀⇚≩⋰*⋻2230=NaN","layer":3},{"info":"⋰*⋻-A⪒NaN=NaN","layer":2},{"info":"⪁⇼⋰*⋻977=⋰*⋻354","layer":3},{"info":"⋰*⋻3A14⇍⊗⋰*⋻2964=⋰*⋻-202","layer":3},{"info":"⋰*⋻354≠≀⋰*⋻-202=⋰*⋻-252","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻-252=⋰*⋻255","layer":1},{"info":"⋰*⋻2668⨜⨶⋰*⋻2A71=⋰*⋻-581A","layer":3},{"info":"⊖∈⋰*⋻-581A=⋰*⋻550623548","layer":2},{"info":"⋰*⋻550623548⇚⪠=Inf","layer":1},{"info":"⋰*⋻255∠↢Inf=-Inf","layer":0}]}
{"id":330,"expression_no_base_symbol":"(⊿$1005$)⪛$3001$↓$5760$⋥≓≎$1099$↬$4419$∑⇟⊟$1063$≨$2413$≓∲($1519$↤⩊$1656$⪶≀⋏$2947$≎⪠$1386$)⇷($4429$⪶≀⋏$2167$⊬⫿⊭)","expression":"(⊿⋰*⋻834)⪛⋰*⋻2289↓⋰*⋻4367⋥≓≎⋰*⋻90A↬⋰*⋻3358∑⇟⊟⋰*⋻887≨⋰*⋻18A4≓∲(⋰*⋻1161↤⩊⋰*⋻1276⪶≀⋏⋰*⋻223A≎⪠⋰*⋻1050)⇷(⋰*⋻3367⪶≀⋏⋰*⋻16A0⊬⫿⊭)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":100450,"operation_count":14,"complexity_ratio":7175.0,"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":1005,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3001,"base":11},"right_expr":{"type":"numeric_atoms","value":5760,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1099,"base":11},"right_expr":{"type":"numeric_atoms","value":4419,"base":11}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1063,"base":11},"right_expr":{"type":"numeric_atoms","value":2413,"base":11}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1519,"base":11},"right_expr":{"type":"numeric_atoms","value":1656,"base":11}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2947,"base":11},"right_expr":{"type":"numeric_atoms","value":1386,"base":11}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4429,"base":11},"right_expr":{"type":"numeric_atoms","value":2167,"base":11}}}}},"used_operators":["s1XTVnmDOJ","Qy55tPpLXF","uFcxV4UQCh","DO4fhlbJSI","Af076pWI7l","U7g4x0WXJJ","B5M0gjZbta","0KMCeP1Jsh","mp7IySMOzn","zR4jO40bMj","13rbtpv6ld","aNhz54LH3e","v0DYgG9ikt"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-4758","layer":3},{"info":"number node, value=3001","layer":4},{"info":"number node, value=5760","layer":4},{"info":"compute binary expreesion, left_input=3001, right_input=5760, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-4758, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-68","layer":2},{"info":"number node, value=1099","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=4419, 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=1063","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2413, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8154","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8154, 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=-68, 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=1519","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1656, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2947","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=1386, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"number node, value=4429","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=4429, right_input=2167, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17853","layer":3},{"info":"compute unary expreesion, input=-17853, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=18065","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18065, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=36130","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=36130, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊿⋰*⋻834)⪛⋰*⋻2289↓⋰*⋻4367⋥≓≎⋰*⋻90A↬⋰*⋻3358∑⇟⊟⋰*⋻887≨⋰*⋻18A4≓∲(⋰*⋻1161↤⩊⋰*⋻1276⪶≀⋏⋰*⋻223A≎⪠⋰*⋻1050)⇷(⋰*⋻3367⪶≀⋏⋰*⋻16A0⊬⫿⊭)=NaN","reverse_text":"NaN=(⊿⋰*⋻834)⪛⋰*⋻2289↓⋰*⋻4367⋥≓≎⋰*⋻90A↬⋰*⋻3358∑⇟⊟⋰*⋻887≨⋰*⋻18A4≓∲(⋰*⋻1161↤⩊⋰*⋻1276⪶≀⋏⋰*⋻223A≎⪠⋰*⋻1050)⇷(⋰*⋻3367⪶≀⋏⋰*⋻16A0⊬⫿⊭)","cot":[{"info":"⊿⋰*⋻834=⋰*⋻-3636","layer":3},{"info":"⋰*⋻2289↓⋰*⋻4367=⋰*⋻-112","layer":3},{"info":"⋰*⋻-3636⪛⋰*⋻-112=⋰*⋻-62","layer":2},{"info":"⋰*⋻90A↬⋰*⋻3358=NaN","layer":3},{"info":"⋰*⋻887≨⋰*⋻18A4=⋰*⋻-6143","layer":3},{"info":"NaN∑⇟⊟⋰*⋻-6143=NaN","layer":2},{"info":"⋰*⋻-62⋥≓≎NaN=NaN","layer":1},{"info":"⋰*⋻1161↤⩊⋰*⋻1276=NaN","layer":3},{"info":"⋰*⋻223A≎⪠⋰*⋻1050=⋰*⋻13770","layer":3},{"info":"NaN⪶≀⋏⋰*⋻13770=NaN","layer":2},{"info":"⋰*⋻3367⪶≀⋏⋰*⋻16A0=⋰*⋻-12460","layer":3},{"info":"⋰*⋻-12460⊬⫿⊭=⋰*⋻12633","layer":2},{"info":"NaN⇷⋰*⋻12633=⋰*⋻25166","layer":1},{"info":"NaN≓∲⋰*⋻25166=NaN","layer":0}]}
{"id":331,"expression_no_base_symbol":"(⪭⩑⪱($3274$⨟⋌⩍$1056$)⨚$2195$⋹⋡⊁$3018$)⨁⊸⫻","expression":"(⪭⩑⪱(⋰*⋻2507⨟⋌⩍⋰*⋻880)⨚⋰*⋻1716⋹⋡⊁⋰*⋻22A4)⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":62910,"operation_count":5,"complexity_ratio":12582.0,"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":3274,"base":11},"right_expr":{"type":"numeric_atoms","value":1056,"base":11}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2195,"base":11},"right_expr":{"type":"numeric_atoms","value":3018,"base":11}}}}},"used_operators":["glklzrTFfD","SIgE0bArFf","nREPSIbpBE","rGHVDoGpnC","As8RqfVLgs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","BjRHVeLaeN","12rbrZMWeM","Tcnh7f0tEr","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⋰*⋻4773560","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3274","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=1056, 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=2195","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=3018, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3768","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3768, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute unary expreesion, input=8320752, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=8320752","layer":0}],"base":11,"result_base":11,"text":"(⪭⩑⪱(⋰*⋻2507⨟⋌⩍⋰*⋻880)⨚⋰*⋻1716⋹⋡⊁⋰*⋻22A4)⨁⊸⫻=⋰*⋻4773560","reverse_text":"⋰*⋻4773560=(⪭⩑⪱(⋰*⋻2507⨟⋌⩍⋰*⋻880)⨚⋰*⋻1716⋹⋡⊁⋰*⋻22A4)⨁⊸⫻","cot":[{"info":"⋰*⋻2507⨟⋌⩍⋰*⋻880=NaN","layer":3},{"info":"⋰*⋻1716⋹⋡⊁⋰*⋻22A4=⋰*⋻2916","layer":3},{"info":"NaN⨚⋰*⋻2916=NaN","layer":2},{"info":"⪭⩑⪱NaN=⋰*⋻4773560","layer":1},{"info":"⋰*⋻4773560⨁⊸⫻=⋰*⋻4773560","layer":0}]}
{"id":332,"expression_no_base_symbol":"(⊢≑≆(⩪∧⨌$2420$⨚⇆$4882$))%($1034$⨽$3073$)⪔⊥($1346$⫳≱↱$3013$)↬($2479$⫣⪄⊒$5771$⪨⊡($2890$⩚⊴⇥$8248$))","expression":"(⊢≑≆(⩪∧⨌⋰*⋻1900⨚⇆⋰*⋻3739))%(⋰*⋻860⨽⋰*⋻2344)⪔⊥(⋰*⋻1014⫳≱↱⋰*⋻229A)↬(⋰*⋻1954⫣⪄⊒⋰*⋻4377⪨⊡(⋰*⋻2198⩚⊴⇥⋰*⋻6219))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18397,"operation_count":11,"complexity_ratio":1672.4545454545455,"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":2420,"base":11},"right_expr":{"type":"numeric_atoms","value":4882,"base":11}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1034,"base":11},"right_expr":{"type":"numeric_atoms","value":3073,"base":11}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1346,"base":11},"right_expr":{"type":"numeric_atoms","value":3013,"base":11}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2479,"base":11},"right_expr":{"type":"numeric_atoms","value":5771,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2890,"base":11},"right_expr":{"type":"numeric_atoms","value":8248,"base":11}}}}},"used_operators":["k8jYdgA6NY","27wFxooxGf","6iOiAJX1F8","lwHaAYXP2r","B5M0gjZbta","HJ9erzHUuu","8HhzD0ZcuI","ZvLB05nZmT","kuIXHzHcAH","RabNbG55vr","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rGHVDoGpnC","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2420","layer":4},{"info":"number node, value=4882","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=4882, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":1},{"info":"number node, value=1034","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=3073, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3215373","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=3013, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-3215373, right_input=-204, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3216172","layer":2},{"info":"number node, value=2479","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=5771, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-30180","layer":3},{"info":"number node, value=2890","layer":4},{"info":"number node, value=8248","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=8248, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11259","layer":3},{"info":"compute binary expreesion, left_input=-30180, right_input=-11259, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=45825","layer":2},{"info":"compute binary expreesion, left_input=3216172, right_input=45825, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊢≑≆(⩪∧⨌⋰*⋻1900⨚⇆⋰*⋻3739))%(⋰*⋻860⨽⋰*⋻2344)⪔⊥(⋰*⋻1014⫳≱↱⋰*⋻229A)↬(⋰*⋻1954⫣⪄⊒⋰*⋻4377⪨⊡(⋰*⋻2198⩚⊴⇥⋰*⋻6219))=NaN","reverse_text":"NaN=(⊢≑≆(⩪∧⨌⋰*⋻1900⨚⇆⋰*⋻3739))%(⋰*⋻860⨽⋰*⋻2344)⪔⊥(⋰*⋻1014⫳≱↱⋰*⋻229A)↬(⋰*⋻1954⫣⪄⊒⋰*⋻4377⪨⊡(⋰*⋻2198⩚⊴⇥⋰*⋻6219))","cot":[{"info":"⋰*⋻1900⨚⇆⋰*⋻3739=NaN","layer":3},{"info":"⩪∧⨌NaN=NaN","layer":2},{"info":"⊢≑≆NaN=NaN","layer":1},{"info":"⋰*⋻860⨽⋰*⋻2344=⋰*⋻-18A6837","layer":3},{"info":"⋰*⋻1014⫳≱↱⋰*⋻229A=⋰*⋻-176","layer":3},{"info":"⋰*⋻-18A6837⪔⊥⋰*⋻-176=⋰*⋻18A73A3","layer":2},{"info":"⋰*⋻1954⫣⪄⊒⋰*⋻4377=⋰*⋻-20747","layer":3},{"info":"⋰*⋻2198⩚⊴⇥⋰*⋻6219=⋰*⋻-8506","layer":3},{"info":"⋰*⋻-20747⪨⊡⋰*⋻-8506=⋰*⋻3147A","layer":2},{"info":"⋰*⋻18A73A3↬⋰*⋻3147A=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":333,"expression_no_base_symbol":"((⇜$1824$)⩒⫫($4001$⫰⋱$1758$))∌↝((⇜⊴$4424$)∝$6384$≎⪠$6147$)⇄($2458$⇴∐$3323$⊹∫⫚$8880$∋$4511$⨸⪁($2355$+⇶⊼$1736$↸(⫶⊄≣$2793$)))","expression":"((⇜⋰*⋻1409)⩒⫫(⋰*⋻3008⫰⋱⋰*⋻1359))∌↝((⇜⊴⋰*⋻3362)∝⋰*⋻4884≎⪠⋰*⋻4689)⇄(⋰*⋻1935⇴∐⋰*⋻2551⊹∫⫚⋰*⋻6743∋⋰*⋻3431⨸⪁(⋰*⋻1851+⇶⊼⋰*⋻1339↸(⫶⊄≣⋰*⋻210A)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":121068,"operation_count":15,"complexity_ratio":8071.2,"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":1824,"base":11}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4001,"base":11},"right_expr":{"type":"numeric_atoms","value":1758,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4424,"base":11}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":6384,"base":11},"right_expr":{"type":"numeric_atoms","value":6147,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2458,"base":11},"right_expr":{"type":"numeric_atoms","value":3323,"base":11}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":8880,"base":11},"right_expr":{"type":"numeric_atoms","value":4511,"base":11}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2355,"base":11},"right_expr":{"type":"numeric_atoms","value":1736,"base":11}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2793,"base":11}}}}},"used_operators":["3EYGwJThht","9Isq31Ruls","KFSx94NKJn","lFBm8KRb8F","6o9Blt3TJ6","cTDWOvIxvz","XwDhCwWbUn","aNhz54LH3e","g55IO6H4Gj","uWAJUKEvyW","HnzytWxmAO","ukq6epAj5P","1eCjFl0mb9","TpPTUOHfaN","wxb3vTeyAj"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","7j4O788W3g","W4YGzv6Whe","COABgblf1C","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","AHs5Up7iyr","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1824","layer":4},{"info":"compute unary expreesion, input=1824, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-15000","layer":3},{"info":"number node, value=4001","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=4001, right_input=1758, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3968","layer":3},{"info":"compute binary expreesion, left_input=-15000, right_input=-3968, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=4424","layer":4},{"info":"compute unary expreesion, input=4424, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1030350","layer":3},{"info":"number node, value=6384","layer":4},{"info":"number node, value=6147","layer":4},{"info":"compute binary expreesion, left_input=6384, right_input=6147, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-1030350, right_input=19558, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-1030345","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1030345, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=320","layer":1},{"info":"number node, value=2458","layer":4},{"info":"number node, value=3323","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=3323, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=8880","layer":4},{"info":"number node, value=4511","layer":4},{"info":"compute binary expreesion, left_input=8880, right_input=4511, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=9754880","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9754880, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-340","layer":2},{"info":"number node, value=2355","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=1736, 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=2793","layer":4},{"info":"compute unary expreesion, input=2793, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=140462245","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=140462245, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-340, 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=320, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⇜⋰*⋻1409)⩒⫫(⋰*⋻3008⫰⋱⋰*⋻1359))∌↝((⇜⊴⋰*⋻3362)∝⋰*⋻4884≎⪠⋰*⋻4689)⇄(⋰*⋻1935⇴∐⋰*⋻2551⊹∫⫚⋰*⋻6743∋⋰*⋻3431⨸⪁(⋰*⋻1851+⇶⊼⋰*⋻1339↸(⫶⊄≣⋰*⋻210A)))=⋰*⋻0","reverse_text":"⋰*⋻0=((⇜⋰*⋻1409)⩒⫫(⋰*⋻3008⫰⋱⋰*⋻1359))∌↝((⇜⊴⋰*⋻3362)∝⋰*⋻4884≎⪠⋰*⋻4689)⇄(⋰*⋻1935⇴∐⋰*⋻2551⊹∫⫚⋰*⋻6743∋⋰*⋻3431⨸⪁(⋰*⋻1851+⇶⊼⋰*⋻1339↸(⫶⊄≣⋰*⋻210A)))","cot":[{"info":"⇜⋰*⋻1409=⋰*⋻-102A7","layer":3},{"info":"⋰*⋻3008⫰⋱⋰*⋻1359=⋰*⋻-2A88","layer":3},{"info":"⋰*⋻-102A7⩒⫫⋰*⋻-2A88=⋰*⋻136","layer":2},{"info":"⇜⊴⋰*⋻3362=⋰*⋻-644132","layer":3},{"info":"⋰*⋻4884≎⪠⋰*⋻4689=⋰*⋻13770","layer":3},{"info":"⋰*⋻-644132∝⋰*⋻13770=⋰*⋻-644128","layer":2},{"info":"⋰*⋻136∌↝⋰*⋻-644128=⋰*⋻271","layer":1},{"info":"⋰*⋻1935⇴∐⋰*⋻2551=NaN","layer":3},{"info":"⋰*⋻6743∋⋰*⋻3431=⋰*⋻5562A93","layer":3},{"info":"NaN⊹∫⫚⋰*⋻5562A93=⋰*⋻-28A","layer":2},{"info":"⋰*⋻1851+⇶⊼⋰*⋻1339=NaN","layer":3},{"info":"⫶⊄≣⋰*⋻210A=⋰*⋻72318400","layer":3},{"info":"NaN↸⋰*⋻72318400=NaN","layer":2},{"info":"⋰*⋻-28A⨸⪁NaN=NaN","layer":1},{"info":"⋰*⋻271⇄NaN=⋰*⋻0","layer":0}]}
{"id":334,"expression_no_base_symbol":"(⇾⩊⇾($1109$⪬$1214$∷$4414$⊴$3321$))⩣⫁∢(⨝⨆(⇖⫷⫕$1788$)⨻⩈⩔($4346$⪕$4300$))","expression":"(⇾⩊⇾(⋰*⋻919⪬⋰*⋻A04∷⋰*⋻3353⊴⋰*⋻254A))⩣⫁∢(⨝⨆(⇖⫷⫕⋰*⋻1386)⨻⩈⩔(⋰*⋻32A1⪕⋰*⋻325A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8212,"operation_count":9,"complexity_ratio":912.4444444444445,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1109,"base":11},"right_expr":{"type":"numeric_atoms","value":1214,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4414,"base":11},"right_expr":{"type":"numeric_atoms","value":3321,"base":11}}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1788,"base":11}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4346,"base":11},"right_expr":{"type":"numeric_atoms","value":4300,"base":11}}}}},"used_operators":["JDUIKTTSIa","bx9Z9DAK5y","D3AQDKkPcf","Ez1Nq5fNfI","Nsiff2A1zJ","bQ67fsrMVf","nEsXyWgiOK","UHmRx3INFg","umQnsF7QlU"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1109","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1214, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=4414","layer":4},{"info":"number node, value=3321","layer":4},{"info":"compute binary expreesion, left_input=4414, right_input=3321, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":1},{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=4346","layer":4},{"info":"number node, value=4300","layer":4},{"info":"compute binary expreesion, left_input=4346, right_input=4300, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=5293","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=5293, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=14175","layer":2},{"info":"compute unary expreesion, input=14175, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=13966","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13966, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇾⩊⇾(⋰*⋻919⪬⋰*⋻A04∷⋰*⋻3353⊴⋰*⋻254A))⩣⫁∢(⨝⨆(⇖⫷⫕⋰*⋻1386)⨻⩈⩔(⋰*⋻32A1⪕⋰*⋻325A))=NaN","reverse_text":"NaN=(⇾⩊⇾(⋰*⋻919⪬⋰*⋻A04∷⋰*⋻3353⊴⋰*⋻254A))⩣⫁∢(⨝⨆(⇖⫷⫕⋰*⋻1386)⨻⩈⩔(⋰*⋻32A1⪕⋰*⋻325A))","cot":[{"info":"⋰*⋻919⪬⋰*⋻A04=⋰*⋻A22","layer":3},{"info":"⋰*⋻3353⊴⋰*⋻254A=NaN","layer":3},{"info":"⋰*⋻A22∷NaN=NaN","layer":2},{"info":"⇾⩊⇾NaN=NaN","layer":1},{"info":"⇖⫷⫕⋰*⋻1386=⋰*⋻2136","layer":3},{"info":"⋰*⋻32A1⪕⋰*⋻325A=⋰*⋻3A82","layer":3},{"info":"⋰*⋻2136⨻⩈⩔⋰*⋻3A82=⋰*⋻A717","layer":2},{"info":"⨝⨆⋰*⋻A717=⋰*⋻A547","layer":1},{"info":"NaN⩣⫁∢⋰*⋻A547=NaN","layer":0}]}
{"id":335,"expression_no_base_symbol":"↔(($1153$⇤$8129$≑≱⪘)+($1835$≳⇉$5756$)⊬⨰$2123$≎⪠$1778$)","expression":"↔((⋰*⋻959⇤⋰*⋻6120≑≱⪘)+(⋰*⋻1419≳⇉⋰*⋻4363)⊬⨰⋰*⋻1660≎⪠⋰*⋻1377)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":309856919,"operation_count":7,"complexity_ratio":44265274.14285714,"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":1153,"base":11},"right_expr":{"type":"numeric_atoms","value":8129,"base":11}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1835,"base":11},"right_expr":{"type":"numeric_atoms","value":5756,"base":11}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2123,"base":11},"right_expr":{"type":"numeric_atoms","value":1778,"base":11}}}}},"used_operators":["ruOEQAzv1W","W4YGzv6Whe","tGSeddj7UK","YSKBFp38Pu","s3Fd5m9Dh2","V0kx6qeWkN","aNhz54LH3e"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"number node, value=8129","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=8129, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-43562","layer":3},{"info":"compute unary expreesion, input=-43562, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=1105042","layer":2},{"info":"number node, value=1835","layer":4},{"info":"number node, value=5756","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=5756, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=2123","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=1778, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1105042, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":11,"result_base":11,"text":"↔((⋰*⋻959⇤⋰*⋻6120≑≱⪘)+(⋰*⋻1419≳⇉⋰*⋻4363)⊬⨰⋰*⋻1660≎⪠⋰*⋻1377)=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔((⋰*⋻959⇤⋰*⋻6120≑≱⪘)+(⋰*⋻1419≳⇉⋰*⋻4363)⊬⨰⋰*⋻1660≎⪠⋰*⋻1377)","cot":[{"info":"⋰*⋻959⇤⋰*⋻6120=⋰*⋻-2A802","layer":3},{"info":"⋰*⋻-2A802≑≱⪘=⋰*⋻695264","layer":2},{"info":"⋰*⋻1419≳⇉⋰*⋻4363=NaN","layer":3},{"info":"⋰*⋻1660≎⪠⋰*⋻1377=⋰*⋻13770","layer":3},{"info":"NaN⊬⨰⋰*⋻13770=NaN","layer":2},{"info":"⋰*⋻695264+NaN=NaN","layer":1},{"info":"↔NaN=⋰*⋻-112","layer":0}]}
{"id":336,"expression_no_base_symbol":"((⨰⫟⨤$2290$)∪⫐$1052$⩍⋽⫝̸$6420$)⪚$1399$⨂≜$2751$⊢$4137$⨥⫆$4539$⊔(⪭⩑⪱($2060$⪄$3911$)≹⇙⪍(⨈⫕$1069$))","expression":"((⨰⫟⨤⋰*⋻17A2)∪⫐⋰*⋻877⩍⋽⫝̸⋰*⋻4907)⪚⋰*⋻1062⨂≜⋰*⋻2081⊢⋰*⋻3121⨥⫆⋰*⋻3457⊔(⪭⩑⪱(⋰*⋻1603⪄⋰*⋻2A36)≹⇙⪍(⨈⫕⋰*⋻892))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":609434,"operation_count":12,"complexity_ratio":50786.166666666664,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2290,"base":11}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1052,"base":11},"right_expr":{"type":"numeric_atoms","value":6420,"base":11}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1399,"base":11},"right_expr":{"type":"numeric_atoms","value":2751,"base":11}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4137,"base":11},"right_expr":{"type":"numeric_atoms","value":4539,"base":11}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2060,"base":11},"right_expr":{"type":"numeric_atoms","value":3911,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1069,"base":11}}}}},"used_operators":["E4l6HwMY31","HrjLwUk87U","7YooWSwCyH","Tw270M8GLb","BiWNJpBvwn","5twsqlHp2o","k1SHOSEABc","yXekIHxTD4","SIgE0bArFf","AHs5Up7iyr","SUmda5xLS4","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rJVOvQCfKK","2DDjHMKMc0","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Ph9nP6C5qx","xUOZtlo3hN","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2290","layer":4},{"info":"compute unary expreesion, input=2290, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=6420","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=6420, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=5474","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5474, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"number node, value=1399","layer":4},{"info":"number node, value=2751","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=2751, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=4137","layer":4},{"info":"number node, value=4539","layer":4},{"info":"compute binary expreesion, left_input=4137, right_input=4539, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=8954","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8954, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=2060","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=3911, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-316613","layer":3},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, 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=-316613, 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 unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨰⫟⨤⋰*⋻17A2)∪⫐⋰*⋻877⩍⋽⫝̸⋰*⋻4907)⪚⋰*⋻1062⨂≜⋰*⋻2081⊢⋰*⋻3121⨥⫆⋰*⋻3457⊔(⪭⩑⪱(⋰*⋻1603⪄⋰*⋻2A36)≹⇙⪍(⨈⫕⋰*⋻892))=NaN","reverse_text":"NaN=((⨰⫟⨤⋰*⋻17A2)∪⫐⋰*⋻877⩍⋽⫝̸⋰*⋻4907)⪚⋰*⋻1062⨂≜⋰*⋻2081⊢⋰*⋻3121⨥⫆⋰*⋻3457⊔(⪭⩑⪱(⋰*⋻1603⪄⋰*⋻2A36)≹⇙⪍(⨈⫕⋰*⋻892))","cot":[{"info":"⨰⫟⨤⋰*⋻17A2=NaN","layer":3},{"info":"⋰*⋻877⩍⋽⫝̸⋰*⋻4907=⋰*⋻4127","layer":3},{"info":"NaN∪⫐⋰*⋻4127=NaN","layer":2},{"info":"⋰*⋻1062⨂≜⋰*⋻2081=NaN","layer":3},{"info":"⋰*⋻3121⨥⫆⋰*⋻3457=⋰*⋻6800","layer":3},{"info":"NaN⊢⋰*⋻6800=NaN","layer":2},{"info":"NaN⪚NaN=NaN","layer":1},{"info":"⋰*⋻1603⪄⋰*⋻2A36=⋰*⋻-1A6970","layer":3},{"info":"⨈⫕⋰*⋻892=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-1A6970≹⇙⪍⋰*⋻-1A=NaN","layer":2},{"info":"⪭⩑⪱NaN=⋰*⋻4773560","layer":1},{"info":"NaN⊔⋰*⋻4773560=NaN","layer":0}]}
{"id":337,"expression_no_base_symbol":"($8080$⨎$1269$∙⊟$2244$≠≀$2820$)≠≀(≋$9372$⪟⇏$2587$)↛⩡⫤","expression":"(⋰*⋻6086⨎⋰*⋻A54∙⊟⋰*⋻1760≠≀⋰*⋻2134)≠≀(≋⋰*⋻7050⪟⇏⋰*⋻1A42)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":80894,"operation_count":7,"complexity_ratio":11556.285714285714,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8080,"base":11},"right_expr":{"type":"numeric_atoms","value":1269,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2244,"base":11},"right_expr":{"type":"numeric_atoms","value":2820,"base":11}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":9372,"base":11},"right_expr":{"type":"numeric_atoms","value":2587,"base":11}}}}},"used_operators":["FU0Cs4j7VP","IwW236VD4Y","SxTAKzQCrw","rJVOvQCfKK","61wBmkZwlr","GODebY97qR"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","7j4O788W3g","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⋰*⋻-2152215","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8080","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=8080, right_input=1269, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1269","layer":3},{"info":"number node, value=2244","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=2820, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4182","layer":3},{"info":"compute binary expreesion, left_input=1269, right_input=-4182, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=26343","layer":2},{"info":"number node, value=9372","layer":4},{"info":"number node, value=2587","layer":4},{"info":"compute binary expreesion, left_input=9372, right_input=2587, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=26343, right_input=-1, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-26463","layer":1},{"info":"compute unary expreesion, input=-26463, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-3780298","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6086⨎⋰*⋻A54∙⊟⋰*⋻1760≠≀⋰*⋻2134)≠≀(≋⋰*⋻7050⪟⇏⋰*⋻1A42)↛⩡⫤=⋰*⋻-2152215","reverse_text":"⋰*⋻-2152215=(⋰*⋻6086⨎⋰*⋻A54∙⊟⋰*⋻1760≠≀⋰*⋻2134)≠≀(≋⋰*⋻7050⪟⇏⋰*⋻1A42)↛⩡⫤","cot":[{"info":"⋰*⋻6086⨎⋰*⋻A54=⋰*⋻A54","layer":3},{"info":"⋰*⋻1760≠≀⋰*⋻2134=⋰*⋻-3162","layer":3},{"info":"⋰*⋻A54∙⊟⋰*⋻-3162=⋰*⋻18879","layer":2},{"info":"⋰*⋻7050⪟⇏⋰*⋻1A42=⋰*⋻-1","layer":3},{"info":"≋⋰*⋻-1=⋰*⋻-1","layer":2},{"info":"⋰*⋻18879≠≀⋰*⋻-1=⋰*⋻-18978","layer":1},{"info":"⋰*⋻-18978↛⩡⫤=⋰*⋻-2152215","layer":0}]}
{"id":338,"expression_no_base_symbol":"(($8990$⇀∌)∷(⋗⩴⪓$6479$)∲⫓$1532$⋓$2999$⫸⊐$1115$∠↢$2698$)≚⊃≕((($1555$∌↝$1836$)⊵↤)⪗)","expression":"((⋰*⋻6833⇀∌)∷(⋗⩴⪓⋰*⋻4960)∲⫓⋰*⋻1173⋓⋰*⋻2287⫸⊐⋰*⋻924∠↢⋰*⋻2033)≚⊃≕(((⋰*⋻1194∌↝⋰*⋻141A)⊵↤)⪗)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6910,"operation_count":11,"complexity_ratio":628.1818181818181,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":8990,"base":11}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":6479,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1532,"base":11},"right_expr":{"type":"numeric_atoms","value":2999,"base":11}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1115,"base":11},"right_expr":{"type":"numeric_atoms","value":2698,"base":11}}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1555,"base":11},"right_expr":{"type":"numeric_atoms","value":1836,"base":11}}}}},"used_operators":["Bmrmz2XGnR","i8ToyICDmI","D3AQDKkPcf","2k53nXOpI5","nOKPl9n5zu","mqXw5SEYmG","T2fj7uvVaJ","KbjG8mgYpV","VEQNXA0ZBg","7IPrd9c3lf","9Isq31Ruls"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8990","layer":4},{"info":"compute unary expreesion, input=8990, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"number node, value=6479","layer":4},{"info":"compute unary expreesion, input=6479, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-5566","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-5566, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-907","layer":2},{"info":"number node, value=1532","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=2999, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=2698","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=2698, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-41150","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-41150, 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=-907, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-907","layer":1},{"info":"number node, value=1555","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1836, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-907, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻6833⇀∌)∷(⋗⩴⪓⋰*⋻4960)∲⫓⋰*⋻1173⋓⋰*⋻2287⫸⊐⋰*⋻924∠↢⋰*⋻2033)≚⊃≕(((⋰*⋻1194∌↝⋰*⋻141A)⊵↤)⪗)=NaN","reverse_text":"NaN=((⋰*⋻6833⇀∌)∷(⋗⩴⪓⋰*⋻4960)∲⫓⋰*⋻1173⋓⋰*⋻2287⫸⊐⋰*⋻924∠↢⋰*⋻2033)≚⊃≕(((⋰*⋻1194∌↝⋰*⋻141A)⊵↤)⪗)","cot":[{"info":"⋰*⋻6833⇀∌=⋰*⋻A3","layer":3},{"info":"⋗⩴⪓⋰*⋻4960=⋰*⋻-4200","layer":3},{"info":"⋰*⋻A3∷⋰*⋻-4200=⋰*⋻-755","layer":2},{"info":"⋰*⋻1173⋓⋰*⋻2287=⋰*⋻0","layer":3},{"info":"⋰*⋻924∠↢⋰*⋻2033=⋰*⋻-28A0A","layer":3},{"info":"⋰*⋻0⫸⊐⋰*⋻-28A0A=⋰*⋻0","layer":2},{"info":"⋰*⋻-755∲⫓⋰*⋻0=⋰*⋻-755","layer":1},{"info":"⋰*⋻1194∌↝⋰*⋻141A=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊵↤=⋰*⋻-46","layer":2},{"info":"⋰*⋻-46⪗=NaN","layer":1},{"info":"⋰*⋻-755≚⊃≕NaN=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"(≛($7563$∼$1770$)≹⇙⪍($5457$⋳⪒$2908$))↢((≸≮$2680$)⪉⨛$3729$↼⊘⨖$3694$⋷(∷≠$1199$⨂≜$1187$))","expression":"(≛(⋰*⋻5756∼⋰*⋻136A)≹⇙⪍(⋰*⋻4111⋳⪒⋰*⋻2204))↢((≸≮⋰*⋻2017)⪉⨛⋰*⋻2890↼⊘⨖⋰*⋻2859⋷(∷≠⋰*⋻9A0⨂≜⋰*⋻98A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11373,"operation_count":11,"complexity_ratio":1033.909090909091,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7563,"base":11},"right_expr":{"type":"numeric_atoms","value":1770,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5457,"base":11},"right_expr":{"type":"numeric_atoms","value":2908,"base":11}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2680,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3729,"base":11},"right_expr":{"type":"numeric_atoms","value":3694,"base":11}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1199,"base":11},"right_expr":{"type":"numeric_atoms","value":1187,"base":11}}}}},"used_operators":["WR6HLWljOP","W7eaUhjymW","AHs5Up7iyr","DyGG3AbaNP","12rbrZMWeM","23Mk6UjR3U","EWw2JM7wp4","AljMvE3RRm","bPywburJMS","QiR2Oyf5Xj","k1SHOSEABc"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","7j4O788W3g","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=7563","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=7563, right_input=1770, 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=5457","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=5457, right_input=2908, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7719","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7719, 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 = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":1},{"info":"number node, value=2680","layer":4},{"info":"compute unary expreesion, input=2680, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=3729","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=3729, right_input=3694, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7166","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7166, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1187, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', 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 binary expreesion, left_input=nan, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≛(⋰*⋻5756∼⋰*⋻136A)≹⇙⪍(⋰*⋻4111⋳⪒⋰*⋻2204))↢((≸≮⋰*⋻2017)⪉⨛⋰*⋻2890↼⊘⨖⋰*⋻2859⋷(∷≠⋰*⋻9A0⨂≜⋰*⋻98A))=NaN","reverse_text":"NaN=(≛(⋰*⋻5756∼⋰*⋻136A)≹⇙⪍(⋰*⋻4111⋳⪒⋰*⋻2204))↢((≸≮⋰*⋻2017)⪉⨛⋰*⋻2890↼⊘⨖⋰*⋻2859⋷(∷≠⋰*⋻9A0⨂≜⋰*⋻98A))","cot":[{"info":"⋰*⋻5756∼⋰*⋻136A=NaN","layer":3},{"info":"⋰*⋻4111⋳⪒⋰*⋻2204=⋰*⋻5888","layer":3},{"info":"NaN≹⇙⪍⋰*⋻5888=NaN","layer":2},{"info":"≛NaN=NaN","layer":1},{"info":"≸≮⋰*⋻2017=NaN","layer":3},{"info":"⋰*⋻2890↼⊘⨖⋰*⋻2859=⋰*⋻5425","layer":3},{"info":"NaN⪉⨛⋰*⋻5425=NaN","layer":2},{"info":"⋰*⋻9A0⨂≜⋰*⋻98A=NaN","layer":3},{"info":"∷≠NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN↢NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"($2824$⪡$3560$⊭↱($2444$⪎⩰))⫁((≸$1169$)⨪↰⇹($5870$⪡$5962$))⫲≸⪮$5906$⊕∕$8695$⨿($3378$⪘⫢$1147$)≨((⇤←$2289$)∠⫱(⋂$1904$))","expression":"(⋰*⋻2138⪡⋰*⋻2747⊭↱(⋰*⋻1922⪎⩰))⫁((≸⋰*⋻973)⨪↰⇹(⋰*⋻4457⪡⋰*⋻4530))⫲≸⪮⋰*⋻448A⊕∕⋰*⋻6595⨿(⋰*⋻25A1⪘⫢⋰*⋻953)≨((⇤←⋰*⋻17A1)∠⫱(⋂⋰*⋻1481))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3346,"operation_count":15,"complexity_ratio":223.06666666666666,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2824,"base":11},"right_expr":{"type":"numeric_atoms","value":3560,"base":11}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":2444,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1169,"base":11}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5870,"base":11},"right_expr":{"type":"numeric_atoms","value":5962,"base":11}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5906,"base":11},"right_expr":{"type":"numeric_atoms","value":8695,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3378,"base":11},"right_expr":{"type":"numeric_atoms","value":1147,"base":11}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2289,"base":11}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1904,"base":11}}}}},"used_operators":["P3lXMJvFrc","0ajvFaJAv0","COABgblf1C","oraRL2iQuh","2ufhKmSs5H","tmPS8pqC7x","eOf03JbCpp","0KMCeP1Jsh","abYXlopdE0","9cloC0Ngie","oacrs7FA3X","QvoQhV0rrE","jfAgQ2OQeM","BUOGQAYlQx"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","rJVOvQCfKK","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2824","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=3560, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2444","layer":4},{"info":"compute unary expreesion, input=2444, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-34, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-277","layer":2},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=5870","layer":4},{"info":"number node, value=5962","layer":4},{"info":"compute binary expreesion, left_input=5870, right_input=5962, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=107, 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=58","layer":2},{"info":"compute binary expreesion, left_input=-277, right_input=58, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=5906","layer":4},{"info":"number node, value=8695","layer":4},{"info":"compute binary expreesion, left_input=5906, right_input=8695, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5906","layer":3},{"info":"number node, value=3378","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=1147, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6632","layer":3},{"info":"compute binary expreesion, left_input=5906, right_input=6632, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=2289","layer":4},{"info":"compute unary expreesion, input=2289, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-10079","layer":3},{"info":"number node, value=1904","layer":4},{"info":"compute unary expreesion, input=1904, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-26060","layer":3},{"info":"compute binary expreesion, left_input=-10079, right_input=-26060, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=15981","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=15981, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1294","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1294, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2138⪡⋰*⋻2747⊭↱(⋰*⋻1922⪎⩰))⫁((≸⋰*⋻973)⨪↰⇹(⋰*⋻4457⪡⋰*⋻4530))⫲≸⪮⋰*⋻448A⊕∕⋰*⋻6595⨿(⋰*⋻25A1⪘⫢⋰*⋻953)≨((⇤←⋰*⋻17A1)∠⫱(⋂⋰*⋻1481))=⋰*⋻136","reverse_text":"⋰*⋻136=(⋰*⋻2138⪡⋰*⋻2747⊭↱(⋰*⋻1922⪎⩰))⫁((≸⋰*⋻973)⨪↰⇹(⋰*⋻4457⪡⋰*⋻4530))⫲≸⪮⋰*⋻448A⊕∕⋰*⋻6595⨿(⋰*⋻25A1⪘⫢⋰*⋻953)≨((⇤←⋰*⋻17A1)∠⫱(⋂⋰*⋻1481))","cot":[{"info":"⋰*⋻2138⪡⋰*⋻2747=⋰*⋻98","layer":3},{"info":"⋰*⋻1922⪎⩰=⋰*⋻-31","layer":3},{"info":"⋰*⋻98⊭↱⋰*⋻-31=⋰*⋻-232","layer":2},{"info":"≸⋰*⋻973=⋰*⋻53","layer":3},{"info":"⋰*⋻4457⪡⋰*⋻4530=⋰*⋻98","layer":3},{"info":"⋰*⋻53⨪↰⇹⋰*⋻98=⋰*⋻53","layer":2},{"info":"⋰*⋻-232⫁⋰*⋻53=⋰*⋻136","layer":1},{"info":"⋰*⋻448A⊕∕⋰*⋻6595=⋰*⋻448A","layer":3},{"info":"⋰*⋻25A1⪘⫢⋰*⋻953=⋰*⋻4A8A","layer":3},{"info":"⋰*⋻448A⨿⋰*⋻4A8A=⋰*⋻-270","layer":2},{"info":"⇤←⋰*⋻17A1=⋰*⋻-7633","layer":3},{"info":"⋂⋰*⋻1481=⋰*⋻-18641","layer":3},{"info":"⋰*⋻-7633∠⫱⋰*⋻-18641=⋰*⋻11009","layer":2},{"info":"⋰*⋻-270≨⋰*⋻11009=⋰*⋻A77","layer":1},{"info":"⋰*⋻136⫲≸⪮⋰*⋻A77=⋰*⋻136","layer":0}]}
{"id":341,"expression_no_base_symbol":"(⊁⨺(($1650$⩨$7365$)⩒⫫($1401$⊾⪯⋞$1121$)))⨚(⪹($1669$⩧⪆$5353$⇄$1460$↹⊜$2770$))","expression":"(⊁⨺((⋰*⋻1270⩨⋰*⋻5596)⩒⫫(⋰*⋻1064⊾⪯⋞⋰*⋻92A)))⨚(⪹(⋰*⋻1288⩧⪆⋰*⋻4027⇄⋰*⋻1108↹⊜⋰*⋻2099))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":160,"operation_count":9,"complexity_ratio":17.77777777777778,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1650,"base":11},"right_expr":{"type":"numeric_atoms","value":7365,"base":11}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1401,"base":11},"right_expr":{"type":"numeric_atoms","value":1121,"base":11}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1669,"base":11},"right_expr":{"type":"numeric_atoms","value":5353,"base":11}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1460,"base":11},"right_expr":{"type":"numeric_atoms","value":2770,"base":11}}}}},"used_operators":["nREPSIbpBE","PxiHyQbrIp","KFSx94NKJn","2DlMacCsIx","HK0tfVPux8","USyYr0JgAa","3EYGwJThht","Ikt5ks8PT7","9bazX3JMtO"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tifHPKVTfV","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⋰*⋻-7579","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"number node, value=7365","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=7365, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=1121, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1816","layer":3},{"info":"compute binary expreesion, left_input=-12, right_input=1816, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-842","layer":2},{"info":"compute unary expreesion, input=-842, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-5111","layer":1},{"info":"number node, value=1669","layer":4},{"info":"number node, value=5353","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=5353, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5353","layer":3},{"info":"number node, value=1460","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=2770, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-8256","layer":3},{"info":"compute binary expreesion, left_input=-5353, right_input=-8256, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=180","layer":1},{"info":"compute binary expreesion, left_input=-5111, right_input=180, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-10008","layer":0}],"base":11,"result_base":11,"text":"(⊁⨺((⋰*⋻1270⩨⋰*⋻5596)⩒⫫(⋰*⋻1064⊾⪯⋞⋰*⋻92A)))⨚(⪹(⋰*⋻1288⩧⪆⋰*⋻4027⇄⋰*⋻1108↹⊜⋰*⋻2099))=⋰*⋻-7579","reverse_text":"⋰*⋻-7579=(⊁⨺((⋰*⋻1270⩨⋰*⋻5596)⩒⫫(⋰*⋻1064⊾⪯⋞⋰*⋻92A)))⨚(⪹(⋰*⋻1288⩧⪆⋰*⋻4027⇄⋰*⋻1108↹⊜⋰*⋻2099))","cot":[{"info":"⋰*⋻1270⩨⋰*⋻5596=⋰*⋻-11","layer":3},{"info":"⋰*⋻1064⊾⪯⋞⋰*⋻92A=⋰*⋻1401","layer":3},{"info":"⋰*⋻-11⩒⫫⋰*⋻1401=⋰*⋻-6A6","layer":2},{"info":"⊁⨺⋰*⋻-6A6=⋰*⋻-3927","layer":1},{"info":"⋰*⋻1288⩧⪆⋰*⋻4027=⋰*⋻-4027","layer":3},{"info":"⋰*⋻1108↹⊜⋰*⋻2099=⋰*⋻-6226","layer":3},{"info":"⋰*⋻-4027⇄⋰*⋻-6226=⋰*⋻0","layer":2},{"info":"⪹⋰*⋻0=⋰*⋻154","layer":1},{"info":"⋰*⋻-3927⨚⋰*⋻154=⋰*⋻-7579","layer":0}]}
{"id":342,"expression_no_base_symbol":"((($2608$⋓$1238$)⨻⩈⩔$1507$≨$3644$)⨻⩈⩔($3123$⩦$2883$⊹≧⊝))↳≱(($2309$⪃⊛⇣$4435$⫔⩽⩺$2876$⪮%⊝$1560$)⪚(⊽$2317$)⫣⪄⊒($5759$∴≳≥))","expression":"(((⋰*⋻1A61⋓⋰*⋻A26)⨻⩈⩔⋰*⋻1150≨⋰*⋻2813)⨻⩈⩔(⋰*⋻238A⩦⋰*⋻2191⊹≧⊝))↳≱((⋰*⋻180A⪃⊛⇣⋰*⋻3372⫔⩽⩺⋰*⋻2185⪮%⊝⋰*⋻1199)⪚(⊽⋰*⋻1817)⫣⪄⊒(⋰*⋻4366∴≳≥))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":992,"operation_count":14,"complexity_ratio":70.85714285714286,"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":2608,"base":11},"right_expr":{"type":"numeric_atoms","value":1238,"base":11}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1507,"base":11},"right_expr":{"type":"numeric_atoms","value":3644,"base":11}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3123,"base":11},"right_expr":{"type":"numeric_atoms","value":2883,"base":11}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2309,"base":11},"right_expr":{"type":"numeric_atoms","value":4435,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2876,"base":11},"right_expr":{"type":"numeric_atoms","value":1560,"base":11}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2317,"base":11}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":5759,"base":11}}}}},"used_operators":["JwTKLfZU96","nEsXyWgiOK","T2fj7uvVaJ","0KMCeP1Jsh","LxFB4K6j0n","0kmYd0q39Y","HrjLwUk87U","i9eR4S00cU","rrgAzCduG9","IWmyXbctLI","RabNbG55vr","QxG7OkqoLX","a3N2hFLK0J"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Tw270M8GLb","fu6greOZ01","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2608","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=2608, 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":"number node, value=1507","layer":4},{"info":"number node, value=3644","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=3644, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12594","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12594, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=3123","layer":4},{"info":"number node, value=2883","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=2883, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6246","layer":3},{"info":"compute unary expreesion, input=6246, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-24984","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-24984, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=2309","layer":4},{"info":"number node, value=4435","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=4435, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2876","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=1560, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6068","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=6068, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=2317","layer":4},{"info":"compute unary expreesion, input=2317, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=6156","layer":3},{"info":"number node, value=5759","layer":4},{"info":"compute unary expreesion, input=5759, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=23036","layer":3},{"info":"compute binary expreesion, left_input=6156, right_input=23036, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-126416","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-126416, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1A61⋓⋰*⋻A26)⨻⩈⩔⋰*⋻1150≨⋰*⋻2813)⨻⩈⩔(⋰*⋻238A⩦⋰*⋻2191⊹≧⊝))↳≱((⋰*⋻180A⪃⊛⇣⋰*⋻3372⫔⩽⩺⋰*⋻2185⪮%⊝⋰*⋻1199)⪚(⊽⋰*⋻1817)⫣⪄⊒(⋰*⋻4366∴≳≥))=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻1A61⋓⋰*⋻A26)⨻⩈⩔⋰*⋻1150≨⋰*⋻2813)⨻⩈⩔(⋰*⋻238A⩦⋰*⋻2191⊹≧⊝))↳≱((⋰*⋻180A⪃⊛⇣⋰*⋻3372⫔⩽⩺⋰*⋻2185⪮%⊝⋰*⋻1199)⪚(⊽⋰*⋻1817)⫣⪄⊒(⋰*⋻4366∴≳≥))","cot":[{"info":"⋰*⋻1A61⋓⋰*⋻A26=⋰*⋻0","layer":3},{"info":"⋰*⋻1150≨⋰*⋻2813=⋰*⋻-950A","layer":3},{"info":"⋰*⋻0⨻⩈⩔⋰*⋻-950A=⋰*⋻-149","layer":2},{"info":"⋰*⋻238A⩦⋰*⋻2191=⋰*⋻4769","layer":3},{"info":"⋰*⋻4769⊹≧⊝=⋰*⋻-17853","layer":2},{"info":"⋰*⋻-149⨻⩈⩔⋰*⋻-17853=⋰*⋻-149","layer":1},{"info":"⋰*⋻180A⪃⊛⇣⋰*⋻3372=⋰*⋻A22","layer":3},{"info":"⋰*⋻2185⪮%⊝⋰*⋻1199=⋰*⋻4617","layer":3},{"info":"⋰*⋻A22⫔⩽⩺⋰*⋻4617=NaN","layer":2},{"info":"⊽⋰*⋻1817=⋰*⋻4697","layer":3},{"info":"⋰*⋻4366∴≳≥=⋰*⋻16342","layer":3},{"info":"⋰*⋻4697⫣⪄⊒⋰*⋻16342=⋰*⋻-86A84","layer":2},{"info":"NaN⪚⋰*⋻-86A84=NaN","layer":1},{"info":"⋰*⋻-149↳≱NaN=⋰*⋻0","layer":0}]}
{"id":343,"expression_no_base_symbol":"∐⩳⋚(($7801$⫳≱↱$2213$⊍⩺⋍$6706$≁↽≥$4421$)⩍⋽⫝̸(($1253$⊢)⋻⩜⩜$1634$⨐⩸⫘$6407$))","expression":"∐⩳⋚((⋰*⋻5952⫳≱↱⋰*⋻1732⊍⩺⋍⋰*⋻5047≁↽≥⋰*⋻335A)⩍⋽⫝̸((⋰*⋻A3A⊢)⋻⩜⩜⋰*⋻1256⨐⩸⫘⋰*⋻48A5))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":582,"operation_count":8,"complexity_ratio":72.75,"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":7801,"base":11},"right_expr":{"type":"numeric_atoms","value":2213,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6706,"base":11},"right_expr":{"type":"numeric_atoms","value":4421,"base":11}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1253,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1634,"base":11},"right_expr":{"type":"numeric_atoms","value":6407,"base":11}}}}},"used_operators":["SL6IHkK8vl","BiWNJpBvwn","OXDGMFPWZM","ZvLB05nZmT","ncHt1X6cMc","oDCm7WA9JY","40aOVDgCDB","fu6greOZ01"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","Ph9nP6C5qx","xUOZtlo3hN","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","oWn0xqSxBt","3Oe9XWJUTD","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7801","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=7801, right_input=2213, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=6706","layer":4},{"info":"number node, value=4421","layer":4},{"info":"compute binary expreesion, left_input=6706, right_input=4421, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=88180","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=88180, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=1253","layer":4},{"info":"compute unary expreesion, input=1253, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1500","layer":3},{"info":"number node, value=1634","layer":4},{"info":"number node, value=6407","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=6407, 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=-1500, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"∐⩳⋚((⋰*⋻5952⫳≱↱⋰*⋻1732⊍⩺⋍⋰*⋻5047≁↽≥⋰*⋻335A)⩍⋽⫝̸((⋰*⋻A3A⊢)⋻⩜⩜⋰*⋻1256⨐⩸⫘⋰*⋻48A5))=NaN","reverse_text":"NaN=∐⩳⋚((⋰*⋻5952⫳≱↱⋰*⋻1732⊍⩺⋍⋰*⋻5047≁↽≥⋰*⋻335A)⩍⋽⫝̸((⋰*⋻A3A⊢)⋻⩜⩜⋰*⋻1256⨐⩸⫘⋰*⋻48A5))","cot":[{"info":"⋰*⋻5952⫳≱↱⋰*⋻1732=⋰*⋻-176","layer":3},{"info":"⋰*⋻5047≁↽≥⋰*⋻335A=⋰*⋻60284","layer":3},{"info":"⋰*⋻-176⊍⩺⋍⋰*⋻60284=NaN","layer":2},{"info":"⋰*⋻A3A⊢=⋰*⋻-1144","layer":3},{"info":"⋰*⋻1256⨐⩸⫘⋰*⋻48A5=NaN","layer":3},{"info":"⋰*⋻-1144⋻⩜⩜NaN=NaN","layer":2},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":1},{"info":"∐⩳⋚NaN=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"(∥⊫($3509$↱$4460$))≦↸(⊖($1368$∙∹∝$1195$))∙∹∝(↔(($3400$≬⇓$2400$)⫒⫫$1536$⋕⪉⪜$4996$))","expression":"(∥⊫(⋰*⋻2700↱⋰*⋻3395))≦↸(⊖(⋰*⋻1034∙∹∝⋰*⋻997))∙∹∝(↔((⋰*⋻2611≬⇓⋰*⋻1892)⫒⫫⋰*⋻1177⋕⪉⪜⋰*⋻3832))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":143,"operation_count":10,"complexity_ratio":14.3,"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":3509,"base":11},"right_expr":{"type":"numeric_atoms","value":4460,"base":11}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1368,"base":11},"right_expr":{"type":"numeric_atoms","value":1195,"base":11}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3400,"base":11},"right_expr":{"type":"numeric_atoms","value":2400,"base":11}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":4996,"base":11}}}}},"used_operators":["HmxsFra2vL","RygbFNSyEJ","P8v4zCKN1o","SR5kFfdi6N","U6pG0PXrV3","ruOEQAzv1W","6Ko8hGgeMq","jWTQ2TZYIH","z6LnFrNh4i"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3509","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=4460, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-12858","layer":3},{"info":"compute unary expreesion, input=-12858, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=1368","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1195, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=791","layer":1},{"info":"number node, value=3400","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=2400, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=4996, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=204, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=791, right_input=160, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋰*⋻2700↱⋰*⋻3395))≦↸(⊖(⋰*⋻1034∙∹∝⋰*⋻997))∙∹∝(↔((⋰*⋻2611≬⇓⋰*⋻1892)⫒⫫⋰*⋻1177⋕⪉⪜⋰*⋻3832))=⋰*⋻0","reverse_text":"⋰*⋻0=(∥⊫(⋰*⋻2700↱⋰*⋻3395))≦↸(⊖(⋰*⋻1034∙∹∝⋰*⋻997))∙∹∝(↔((⋰*⋻2611≬⇓⋰*⋻1892)⫒⫫⋰*⋻1177⋕⪉⪜⋰*⋻3832))","cot":[{"info":"⋰*⋻2700↱⋰*⋻3395=⋰*⋻-972A","layer":3},{"info":"∥⊫⋰*⋻-972A=⋰*⋻-50","layer":2},{"info":"⋰*⋻1034∙∹∝⋰*⋻997=⋰*⋻0","layer":3},{"info":"⊖⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-50≦↸⋰*⋻0=⋰*⋻65A","layer":1},{"info":"⋰*⋻2611≬⇓⋰*⋻1892=⋰*⋻-20","layer":3},{"info":"⋰*⋻1177⋕⪉⪜⋰*⋻3832=⋰*⋻176","layer":3},{"info":"⋰*⋻-20⫒⫫⋰*⋻176=⋰*⋻A3","layer":2},{"info":"↔⋰*⋻A3=⋰*⋻136","layer":1},{"info":"⋰*⋻65A∙∹∝⋰*⋻136=⋰*⋻0","layer":0}]}
{"id":345,"expression_no_base_symbol":"(∐⩳⋚(⨙⪌$1232$))⊋((≇⪴$4233$)∙∹∝($2738$/$2008$))↡⊰⫅($1788$⇤$1495$⋣⋖($6614$⪘⫢$1250$))⩖⊿(↩⪖$3177$)⇂≾⫗($2886$⨿$1099$)","expression":"(∐⩳⋚(⨙⪌⋰*⋻A20))⊋((≇⪴⋰*⋻31A9)∙∹∝(⋰*⋻206A/⋰*⋻1566))↡⊰⫅(⋰*⋻1386⇤⋰*⋻113A⋣⋖(⋰*⋻4A73⪘⫢⋰*⋻A37))⩖⊿(↩⪖⋰*⋻2429)⇂≾⫗(⋰*⋻2194⨿⋰*⋻90A)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":47110,"operation_count":14,"complexity_ratio":3365.0,"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":1232,"base":11}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":4233,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2738,"base":11},"right_expr":{"type":"numeric_atoms","value":2008,"base":11}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1788,"base":11},"right_expr":{"type":"numeric_atoms","value":1495,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6614,"base":11},"right_expr":{"type":"numeric_atoms","value":1250,"base":11}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3177,"base":11}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2886,"base":11},"right_expr":{"type":"numeric_atoms","value":1099,"base":11}}}}},"used_operators":["VCtxkLNOzz","W4tP9CfskL","SL6IHkK8vl","vEGLkm4Z2k","HmxsFra2vL","zoVPnxeHJ3","XhwjNDsVaA","RZ5CV9rWsJ","J0M6qkBnIM","YSKBFp38Pu","oacrs7FA3X","aBQ6xLxuTc","fG6uBQFnGz","abYXlopdE0"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⋰*⋻4987","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":4},{"info":"compute unary expreesion, input=1232, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=112685","layer":2},{"info":"number node, value=4233","layer":4},{"info":"compute unary expreesion, input=4233, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-11359","layer":3},{"info":"number node, value=2738","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=2008, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-11359, right_input=1, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=112685, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":1},{"info":"number node, value=1788","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1495, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-13567","layer":3},{"info":"number node, value=6614","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=6614, right_input=1250, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13104","layer":3},{"info":"compute binary expreesion, left_input=-13567, right_input=13104, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-13567","layer":2},{"info":"number node, value=3177","layer":4},{"info":"compute unary expreesion, input=3177, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-22044","layer":3},{"info":"number node, value=2886","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=1099, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-22044, right_input=-319, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=-13567, right_input=-670, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=3254","layer":1},{"info":"compute binary expreesion, left_input=-5454, right_input=3254, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6508","layer":0}],"base":11,"result_base":11,"text":"(∐⩳⋚(⨙⪌⋰*⋻A20))⊋((≇⪴⋰*⋻31A9)∙∹∝(⋰*⋻206A/⋰*⋻1566))↡⊰⫅(⋰*⋻1386⇤⋰*⋻113A⋣⋖(⋰*⋻4A73⪘⫢⋰*⋻A37))⩖⊿(↩⪖⋰*⋻2429)⇂≾⫗(⋰*⋻2194⨿⋰*⋻90A)=⋰*⋻4987","reverse_text":"⋰*⋻4987=(∐⩳⋚(⨙⪌⋰*⋻A20))⊋((≇⪴⋰*⋻31A9)∙∹∝(⋰*⋻206A/⋰*⋻1566))↡⊰⫅(⋰*⋻1386⇤⋰*⋻113A⋣⋖(⋰*⋻4A73⪘⫢⋰*⋻A37))⩖⊿(↩⪖⋰*⋻2429)⇂≾⫗(⋰*⋻2194⨿⋰*⋻90A)","cot":[{"info":"⨙⪌⋰*⋻A20=⋰*⋻71A","layer":3},{"info":"∐⩳⋚⋰*⋻71A=⋰*⋻77731","layer":2},{"info":"≇⪴⋰*⋻31A9=⋰*⋻-8597","layer":3},{"info":"⋰*⋻206A/⋰*⋻1566=⋰*⋻1","layer":3},{"info":"⋰*⋻-8597∙∹∝⋰*⋻1=⋰*⋻0","layer":2},{"info":"⋰*⋻77731⊋⋰*⋻0=⋰*⋻-4109","layer":1},{"info":"⋰*⋻1386⇤⋰*⋻113A=⋰*⋻-A214","layer":3},{"info":"⋰*⋻4A73⪘⫢⋰*⋻A37=⋰*⋻9933","layer":3},{"info":"⋰*⋻-A214⋣⋖⋰*⋻9933=⋰*⋻-A214","layer":2},{"info":"↩⪖⋰*⋻2429=⋰*⋻-15620","layer":3},{"info":"⋰*⋻2194⨿⋰*⋻90A=⋰*⋻-270","layer":3},{"info":"⋰*⋻-15620⇂≾⫗⋰*⋻-270=⋰*⋻-55A","layer":2},{"info":"⋰*⋻-A214⩖⊿⋰*⋻-55A=⋰*⋻2499","layer":1},{"info":"⋰*⋻-4109↡⊰⫅⋰*⋻2499=⋰*⋻4987","layer":0}]}
{"id":346,"expression_no_base_symbol":"(($3614$⫣⪄⊒$2408$∙⊟$4938$⇡⇂$1389$)↬($5113$∌↝$2260$⋾⨃∁(↘$4717$)))⨲","expression":"((⋰*⋻2796⫣⪄⊒⋰*⋻189A∙⊟⋰*⋻378A⇡⇂⋰*⋻1053)↬(⋰*⋻3929∌↝⋰*⋻1775⋾⨃∁(↘⋰*⋻35A9)))⨲","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19736,"operation_count":8,"complexity_ratio":2467.0,"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":3614,"base":11},"right_expr":{"type":"numeric_atoms","value":2408,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4938,"base":11},"right_expr":{"type":"numeric_atoms","value":1389,"base":11}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5113,"base":11},"right_expr":{"type":"numeric_atoms","value":2260,"base":11}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":4717,"base":11}}}}},"used_operators":["nLYMGWM7L8","B5M0gjZbta","SxTAKzQCrw","RabNbG55vr","UMwdvZNt44","212REbPD9h","9Isq31Ruls","LdNpr8hQHL"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","rGHVDoGpnC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","uFcxV4UQCh"],"result":"⋰*⋻2709A38","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3614","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=3614, right_input=2408, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7732","layer":3},{"info":"number node, value=4938","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=1389, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7732, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=116260","layer":2},{"info":"number node, value=5113","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=5113, right_input=2260, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=4717","layer":4},{"info":"compute unary expreesion, input=4717, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=13","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=1440","layer":2},{"info":"compute binary expreesion, left_input=116260, right_input=1440, 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 = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2796⫣⪄⊒⋰*⋻189A∙⊟⋰*⋻378A⇡⇂⋰*⋻1053)↬(⋰*⋻3929∌↝⋰*⋻1775⋾⨃∁(↘⋰*⋻35A9)))⨲=⋰*⋻2709A38","reverse_text":"⋰*⋻2709A38=((⋰*⋻2796⫣⪄⊒⋰*⋻189A∙⊟⋰*⋻378A⇡⇂⋰*⋻1053)↬(⋰*⋻3929∌↝⋰*⋻1775⋾⨃∁(↘⋰*⋻35A9)))⨲","cot":[{"info":"⋰*⋻2796⫣⪄⊒⋰*⋻189A=⋰*⋻-589A","layer":3},{"info":"⋰*⋻378A⇡⇂⋰*⋻1053=NaN","layer":3},{"info":"⋰*⋻-589A∙⊟NaN=⋰*⋻7A391","layer":2},{"info":"⋰*⋻3929∌↝⋰*⋻1775=⋰*⋻0","layer":3},{"info":"↘⋰*⋻35A9=⋰*⋻12","layer":3},{"info":"⋰*⋻0⋾⨃∁⋰*⋻12=⋰*⋻109A","layer":2},{"info":"⋰*⋻7A391↬⋰*⋻109A=NaN","layer":1},{"info":"NaN⨲=⋰*⋻2709A38","layer":0}]}
{"id":347,"expression_no_base_symbol":"∷≠(($2851$⊬⨰$1046$⪘⫢(⊖∈$2789$))⪥($1079$⋷$5066$)⫘(≔$1819$))","expression":"∷≠((⋰*⋻2162⊬⨰⋰*⋻871⪘⫢(⊖∈⋰*⋻2106))⪥(⋰*⋻8A1⋷⋰*⋻3896)⫘(≔⋰*⋻1404))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9414,"operation_count":8,"complexity_ratio":1176.75,"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":2851,"base":11},"right_expr":{"type":"numeric_atoms","value":1046,"base":11}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2789,"base":11}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1079,"base":11},"right_expr":{"type":"numeric_atoms","value":5066,"base":11}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1819,"base":11}}}}},"used_operators":["QiR2Oyf5Xj","QbnwKVWMIQ","oacrs7FA3X","s3Fd5m9Dh2","YFxL8Sc2Zy","48vC8HMD2b","23Mk6UjR3U","8FLs4eVsLt"],"dependent_operators":["7j4O788W3g","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"⋰*⋻36072","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2851","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=1046, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5979","layer":3},{"info":"number node, value=2789","layer":4},{"info":"compute unary expreesion, input=2789, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=50186","layer":3},{"info":"compute binary expreesion, left_input=5979, right_input=50186, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11834","layer":2},{"info":"number node, value=1079","layer":4},{"info":"number node, value=5066","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=5066, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9053","layer":3},{"info":"number node, value=1819","layer":4},{"info":"compute unary expreesion, input=1819, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-49638","layer":3},{"info":"compute binary expreesion, left_input=9053, right_input=-49638, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=10650733","layer":2},{"info":"compute binary expreesion, left_input=11834, right_input=10650733, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=51988","layer":1},{"info":"compute unary expreesion, input=51988, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=51988","layer":0}],"base":11,"result_base":11,"text":"∷≠((⋰*⋻2162⊬⨰⋰*⋻871⪘⫢(⊖∈⋰*⋻2106))⪥(⋰*⋻8A1⋷⋰*⋻3896)⫘(≔⋰*⋻1404))=⋰*⋻36072","reverse_text":"⋰*⋻36072=∷≠((⋰*⋻2162⊬⨰⋰*⋻871⪘⫢(⊖∈⋰*⋻2106))⪥(⋰*⋻8A1⋷⋰*⋻3896)⫘(≔⋰*⋻1404))","cot":[{"info":"⋰*⋻2162⊬⨰⋰*⋻871=⋰*⋻4546","layer":3},{"info":"⊖∈⋰*⋻2106=⋰*⋻34784","layer":3},{"info":"⋰*⋻4546⪘⫢⋰*⋻34784=⋰*⋻8989","layer":2},{"info":"⋰*⋻8A1⋷⋰*⋻3896=⋰*⋻6890","layer":3},{"info":"≔⋰*⋻1404=⋰*⋻-34326","layer":3},{"info":"⋰*⋻6890⫘⋰*⋻-34326=⋰*⋻6015065","layer":2},{"info":"⋰*⋻8989⪥⋰*⋻6015065=⋰*⋻36072","layer":1},{"info":"∷≠⋰*⋻36072=⋰*⋻36072","layer":0}]}
{"id":348,"expression_no_base_symbol":"(($5854$⨪↰⇹$2641$)⪟⇏($1207$≃⋄)⩺⪪($3802$↱$1075$)⪟⇏($1059$⊧↖))≦≮≮","expression":"((⋰*⋻4442⨪↰⇹⋰*⋻1A91)⪟⇏(⋰*⋻9A8≃⋄)⩺⪪(⋰*⋻2947↱⋰*⋻898)⪟⇏(⋰*⋻883⊧↖))≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7214,"operation_count":8,"complexity_ratio":901.75,"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":5854,"base":11},"right_expr":{"type":"numeric_atoms","value":2641,"base":11}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":1207,"base":11}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3802,"base":11},"right_expr":{"type":"numeric_atoms","value":1075,"base":11}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1059,"base":11}}}}},"used_operators":["D4vGDi5EA2","uvdQJvN4PV","GODebY97qR","tmPS8pqC7x","aN9a90urxU","SR5kFfdi6N","EKiFHuOFxO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rJVOvQCfKK","uFcxV4UQCh","jLgFTUHLKL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"⋰*⋻23535","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5854","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=5854, 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=5854","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=5854, right_input=764, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"number node, value=3802","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=3802, right_input=1075, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2703","layer":3},{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=6732368","layer":3},{"info":"compute binary expreesion, left_input=-2703, right_input=6732368, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-11306","layer":1},{"info":"compute unary expreesion, input=-11306, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=33918","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4442⨪↰⇹⋰*⋻1A91)⪟⇏(⋰*⋻9A8≃⋄)⩺⪪(⋰*⋻2947↱⋰*⋻898)⪟⇏(⋰*⋻883⊧↖))≦≮≮=⋰*⋻23535","reverse_text":"⋰*⋻23535=((⋰*⋻4442⨪↰⇹⋰*⋻1A91)⪟⇏(⋰*⋻9A8≃⋄)⩺⪪(⋰*⋻2947↱⋰*⋻898)⪟⇏(⋰*⋻883⊧↖))≦≮≮","cot":[{"info":"⋰*⋻4442⨪↰⇹⋰*⋻1A91=⋰*⋻4442","layer":3},{"info":"⋰*⋻9A8≃⋄=⋰*⋻635","layer":3},{"info":"⋰*⋻4442⪟⇏⋰*⋻635=⋰*⋻-1","layer":2},{"info":"⋰*⋻2947↱⋰*⋻898=⋰*⋻-2038","layer":3},{"info":"⋰*⋻883⊧↖=⋰*⋻3889145","layer":3},{"info":"⋰*⋻-2038⪟⇏⋰*⋻3889145=⋰*⋻0","layer":2},{"info":"⋰*⋻-1⩺⪪⋰*⋻0=⋰*⋻-8549","layer":1},{"info":"⋰*⋻-8549≦≮≮=⋰*⋻23535","layer":0}]}
{"id":349,"expression_no_base_symbol":"((↣≠⋷($1934$⊋$5342$))⨚⇆($2749$≠≀$3404$↺$2113$⪭≯$2220$))↤⩊(⇜(($2233$⋥≓≎$2274$)∵≐))","expression":"((↣≠⋷(⋰*⋻14A9⊋⋰*⋻4017))⨚⇆(⋰*⋻207A≠≀⋰*⋻2615↺⋰*⋻1651⪭≯⋰*⋻1739))↤⩊(⇜((⋰*⋻1750⋥≓≎⋰*⋻1788)∵≐))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7661,"operation_count":10,"complexity_ratio":766.1,"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":1934,"base":11},"right_expr":{"type":"numeric_atoms","value":5342,"base":11}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2749,"base":11},"right_expr":{"type":"numeric_atoms","value":3404,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2113,"base":11},"right_expr":{"type":"numeric_atoms","value":2220,"base":11}}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2233,"base":11},"right_expr":{"type":"numeric_atoms","value":2274,"base":11}}}}},"used_operators":["13rbtpv6ld","lwHaAYXP2r","Asc51vEJeQ","W4tP9CfskL","7j4O788W3g","IwW236VD4Y","XAx5wpdLa6","lFBm8KRb8F","59igzFyhWz","Qy55tPpLXF"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XhwjNDsVaA","AHs5Up7iyr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1934","layer":4},{"info":"number node, value=5342","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=5342, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-141807948","layer":3},{"info":"compute unary expreesion, input=-141807948, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2749","layer":4},{"info":"number node, value=3404","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=3404, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5192","layer":3},{"info":"number node, value=2113","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=2220, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5192, 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 = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=2233","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=2274, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2348","layer":3},{"info":"compute unary expreesion, input=2348, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1402","layer":2},{"info":"compute unary expreesion, input=1402, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-11624","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11624, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↣≠⋷(⋰*⋻14A9⊋⋰*⋻4017))⨚⇆(⋰*⋻207A≠≀⋰*⋻2615↺⋰*⋻1651⪭≯⋰*⋻1739))↤⩊(⇜((⋰*⋻1750⋥≓≎⋰*⋻1788)∵≐))=NaN","reverse_text":"NaN=((↣≠⋷(⋰*⋻14A9⊋⋰*⋻4017))⨚⇆(⋰*⋻207A≠≀⋰*⋻2615↺⋰*⋻1651⪭≯⋰*⋻1739))↤⩊(⇜((⋰*⋻1750⋥≓≎⋰*⋻1788)∵≐))","cot":[{"info":"⋰*⋻14A9⊋⋰*⋻4017=⋰*⋻-73057457","layer":3},{"info":"↣≠⋷⋰*⋻-73057457=NaN","layer":2},{"info":"⋰*⋻207A≠≀⋰*⋻2615=⋰*⋻-39A0","layer":3},{"info":"⋰*⋻1651⪭≯⋰*⋻1739=NaN","layer":3},{"info":"⋰*⋻-39A0↺NaN=NaN","layer":2},{"info":"NaN⨚⇆NaN=NaN","layer":1},{"info":"⋰*⋻1750⋥≓≎⋰*⋻1788=⋰*⋻1845","layer":3},{"info":"⋰*⋻1845∵≐=⋰*⋻1065","layer":2},{"info":"⇜⋰*⋻1065=⋰*⋻-8808","layer":1},{"info":"NaN↤⩊⋰*⋻-8808=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"⪓⩚($2042$⪎↠$2497$≀⩗∶$4448$⫲≸⪮$1885$)⨸(($1029$⨎$1008$)⪛$1277$↓$1898$)","expression":"⪓⩚(⋰*⋻1597⪎↠⋰*⋻1970≀⩗∶⋰*⋻3384⫲≸⪮⋰*⋻1464)⨸((⋰*⋻856⨎⋰*⋻837)⪛⋰*⋻A61↓⋰*⋻1476)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34935,"operation_count":8,"complexity_ratio":4366.875,"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":2042,"base":11},"right_expr":{"type":"numeric_atoms","value":2497,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4448,"base":11},"right_expr":{"type":"numeric_atoms","value":1885,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1029,"base":11},"right_expr":{"type":"numeric_atoms","value":1008,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1277,"base":11},"right_expr":{"type":"numeric_atoms","value":1898,"base":11}}}}},"used_operators":["u0R0Locfp2","KmoU8R5UQR","8INZBEW696","3tVxb0NHM4","P3lXMJvFrc","uFcxV4UQCh","rJVOvQCfKK","Af076pWI7l"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⋰*⋻358","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2042","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=2497, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=4448","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=4448, right_input=1885, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4448","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4448, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-81","layer":2},{"info":"number node, value=1029","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1008, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1008","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=1898, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1008, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-64","layer":2},{"info":"compute binary expreesion, left_input=-81, right_input=-64, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=162","layer":1},{"info":"compute unary expreesion, input=162, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":11,"result_base":11,"text":"⪓⩚(⋰*⋻1597⪎↠⋰*⋻1970≀⩗∶⋰*⋻3384⫲≸⪮⋰*⋻1464)⨸((⋰*⋻856⨎⋰*⋻837)⪛⋰*⋻A61↓⋰*⋻1476)=⋰*⋻358","reverse_text":"⋰*⋻358=⪓⩚(⋰*⋻1597⪎↠⋰*⋻1970≀⩗∶⋰*⋻3384⫲≸⪮⋰*⋻1464)⨸((⋰*⋻856⨎⋰*⋻837)⪛⋰*⋻A61↓⋰*⋻1476)","cot":[{"info":"⋰*⋻1597⪎↠⋰*⋻1970=⋰*⋻136","layer":3},{"info":"⋰*⋻3384⫲≸⪮⋰*⋻1464=⋰*⋻3384","layer":3},{"info":"⋰*⋻136≀⩗∶⋰*⋻3384=⋰*⋻-74","layer":2},{"info":"⋰*⋻856⨎⋰*⋻837=⋰*⋻837","layer":3},{"info":"⋰*⋻A61↓⋰*⋻1476=⋰*⋻-112","layer":3},{"info":"⋰*⋻837⪛⋰*⋻-112=⋰*⋻-59","layer":2},{"info":"⋰*⋻-74⨸⋰*⋻-59=⋰*⋻138","layer":1},{"info":"⪓⩚⋰*⋻138=⋰*⋻358","layer":0}]}
{"id":351,"expression_no_base_symbol":"(⊖∈((⇐$1731$)⨉))∴((⊢≑≆($1116$⪇≇⋚$5697$))⫳≱↱(⫛⫱⨽$8420$∋$3481$))","expression":"(⊖∈((⇐⋰*⋻1334)⨉))∴((⊢≑≆(⋰*⋻925⪇≇⋚⋰*⋻430A))⫳≱↱(⫛⫱⨽⋰*⋻6365∋⋰*⋻2685))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4392,"operation_count":9,"complexity_ratio":488.0,"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":1731,"base":11}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1116,"base":11},"right_expr":{"type":"numeric_atoms","value":5697,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":8420,"base":11},"right_expr":{"type":"numeric_atoms","value":3481,"base":11}}}}},"used_operators":["hrf7POJlIJ","YFxL8Sc2Zy","aMUSaJuDRU","nmZMaaE0Q9","ZvLB05nZmT","27wFxooxGf","3sJ7IOPOlU","DlLNRPXxWL","ukq6epAj5P"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rGHVDoGpnC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"⋰*⋻193179","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2668","layer":3},{"info":"compute unary expreesion, input=2668, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=7664","layer":2},{"info":"compute unary expreesion, input=7664, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=147686","layer":1},{"info":"number node, value=1116","layer":4},{"info":"number node, value=5697","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=5697, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=193","layer":2},{"info":"number node, value=8420","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=8420, right_input=3481, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=7596800","layer":3},{"info":"compute unary expreesion, input=7596800, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=193, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=147686, right_input=-204, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=297020","layer":0}],"base":11,"result_base":11,"text":"(⊖∈((⇐⋰*⋻1334)⨉))∴((⊢≑≆(⋰*⋻925⪇≇⋚⋰*⋻430A))⫳≱↱(⫛⫱⨽⋰*⋻6365∋⋰*⋻2685))=⋰*⋻193179","reverse_text":"⋰*⋻193179=(⊖∈((⇐⋰*⋻1334)⨉))∴((⊢≑≆(⋰*⋻925⪇≇⋚⋰*⋻430A))⫳≱↱(⫛⫱⨽⋰*⋻6365∋⋰*⋻2685))","cot":[{"info":"⇐⋰*⋻1334=⋰*⋻2006","layer":3},{"info":"⋰*⋻2006⨉=⋰*⋻5838","layer":2},{"info":"⊖∈⋰*⋻5838=⋰*⋻A0A60","layer":1},{"info":"⋰*⋻925⪇≇⋚⋰*⋻430A=⋰*⋻0","layer":3},{"info":"⊢≑≆⋰*⋻0=⋰*⋻166","layer":2},{"info":"⋰*⋻6365∋⋰*⋻2685=⋰*⋻4319652","layer":3},{"info":"⫛⫱⨽⋰*⋻4319652=NaN","layer":2},{"info":"⋰*⋻166⫳≱↱NaN=⋰*⋻-176","layer":1},{"info":"⋰*⋻A0A60∴⋰*⋻-176=⋰*⋻193179","layer":0}]}
{"id":352,"expression_no_base_symbol":"(($1351$⇼⇔∾$4419$)⪛($4502$⩹$1973$))⋹⋡⊁(($1281$⋹)⫢⨠$3048$⨥⫆$4760$)⨸⪁($6154$∌↝$4066$/(⨵$2367$))↞⋁($1240$⩣⫁∢$6506$⨰$2060$∀⇚≩$1252$)","expression":"((⋰*⋻1019⇼⇔∾⋰*⋻3358)⪛(⋰*⋻3423⩹⋰*⋻1534))⋹⋡⊁((⋰*⋻A65⋹)⫢⨠⋰*⋻2321⨥⫆⋰*⋻3638)⨸⪁(⋰*⋻4695∌↝⋰*⋻3067/(⨵⋰*⋻1862))↞⋁(⋰*⋻A28⩣⫁∢⋰*⋻4985⨰⋰*⋻1603∀⇚≩⋰*⋻A39)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":77390,"operation_count":15,"complexity_ratio":5159.333333333333,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1351,"base":11},"right_expr":{"type":"numeric_atoms","value":4419,"base":11}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4502,"base":11},"right_expr":{"type":"numeric_atoms","value":1973,"base":11}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1281,"base":11}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3048,"base":11},"right_expr":{"type":"numeric_atoms","value":4760,"base":11}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":6154,"base":11},"right_expr":{"type":"numeric_atoms","value":4066,"base":11}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2367,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1240,"base":11},"right_expr":{"type":"numeric_atoms","value":6506,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2060,"base":11},"right_expr":{"type":"numeric_atoms","value":1252,"base":11}}}}},"used_operators":["g55IO6H4Gj","As8RqfVLgs","uFcxV4UQCh","tifHPKVTfV","2Wsdkap16l","xlXykHWxX1","opAxDRczMr","yXekIHxTD4","RqrPlJkxDo","XhwjNDsVaA","9Isq31Ruls","Tl3Y52tvF8","eewbuw0ToL","JDUIKTTSIa","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=4419, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3068","layer":3},{"info":"number node, value=4502","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=4502, right_input=1973, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1971","layer":3},{"info":"compute binary expreesion, left_input=3068, right_input=1971, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1097","layer":2},{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=3048","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=4760, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9396","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=9396, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1097, right_input=160, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=910","layer":1},{"info":"number node, value=6154","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=6154, right_input=4066, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-20145","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-20145, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1240","layer":4},{"info":"number node, value=6506","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=6506, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2319","layer":3},{"info":"number node, value=2060","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=1252, 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=-2319, 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=0, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=910, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1019⇼⇔∾⋰*⋻3358)⪛(⋰*⋻3423⩹⋰*⋻1534))⋹⋡⊁((⋰*⋻A65⋹)⫢⨠⋰*⋻2321⨥⫆⋰*⋻3638)⨸⪁(⋰*⋻4695∌↝⋰*⋻3067/(⨵⋰*⋻1862))↞⋁(⋰*⋻A28⩣⫁∢⋰*⋻4985⨰⋰*⋻1603∀⇚≩⋰*⋻A39)=NaN","reverse_text":"NaN=((⋰*⋻1019⇼⇔∾⋰*⋻3358)⪛(⋰*⋻3423⩹⋰*⋻1534))⋹⋡⊁((⋰*⋻A65⋹)⫢⨠⋰*⋻2321⨥⫆⋰*⋻3638)⨸⪁(⋰*⋻4695∌↝⋰*⋻3067/(⨵⋰*⋻1862))↞⋁(⋰*⋻A28⩣⫁∢⋰*⋻4985⨰⋰*⋻1603∀⇚≩⋰*⋻A39)","cot":[{"info":"⋰*⋻1019⇼⇔∾⋰*⋻3358=⋰*⋻233A","layer":3},{"info":"⋰*⋻3423⩹⋰*⋻1534=⋰*⋻1532","layer":3},{"info":"⋰*⋻233A⪛⋰*⋻1532=⋰*⋻908","layer":2},{"info":"⋰*⋻A65⋹=⋰*⋻-19","layer":3},{"info":"⋰*⋻2321⨥⫆⋰*⋻3638=⋰*⋻7072","layer":3},{"info":"⋰*⋻-19⫢⨠⋰*⋻7072=⋰*⋻136","layer":2},{"info":"⋰*⋻908⋹⋡⊁⋰*⋻136=⋰*⋻758","layer":1},{"info":"⋰*⋻4695∌↝⋰*⋻3067=⋰*⋻0","layer":3},{"info":"⨵⋰*⋻1862=⋰*⋻-14154","layer":3},{"info":"⋰*⋻0/⋰*⋻-14154=⋰*⋻0","layer":2},{"info":"⋰*⋻A28⩣⫁∢⋰*⋻4985=⋰*⋻-1819","layer":3},{"info":"⋰*⋻1603∀⇚≩⋰*⋻A39=NaN","layer":3},{"info":"⋰*⋻-1819⨰NaN=NaN","layer":2},{"info":"⋰*⋻0↞⋁NaN=NaN","layer":1},{"info":"⋰*⋻758⨸⪁NaN=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"(($1316$⨒$4160$)⨘)∌(($4331$⩘)↙$1535$∇⊂⋱$2713$)⫃⨇((↩$1783$)⇼⇔∾($1163$⨶))↹⊜($3308$⨔⇊$4338$)⋕⪉⪜($1715$⇌⫙⪟$7936$)","expression":"((⋰*⋻A97⨒⋰*⋻3142)⨘)∌((⋰*⋻3288⩘)↙⋰*⋻1176∇⊂⋱⋰*⋻2047)⫃⨇((↩⋰*⋻1381)⇼⇔∾(⋰*⋻968⨶))↹⊜(⋰*⋻2538⨔⇊⋰*⋻3294)⋕⪉⪜(⋰*⋻131A⇌⫙⪟⋰*⋻5A65)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7720,"operation_count":14,"complexity_ratio":551.4285714285714,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1316,"base":11},"right_expr":{"type":"numeric_atoms","value":4160,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":4331,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1535,"base":11},"right_expr":{"type":"numeric_atoms","value":2713,"base":11}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1783,"base":11}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1163,"base":11}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3308,"base":11},"right_expr":{"type":"numeric_atoms","value":4338,"base":11}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1715,"base":11},"right_expr":{"type":"numeric_atoms","value":7936,"base":11}}}}},"used_operators":["09Ly4LVMIf","8cLx32lpNA","ljcfZBUpm8","y75s1iXyHd","yyfyN0ffXY","wvHyciQT5X","nhYeJWJD5X","9bazX3JMtO","tifHPKVTfV","jLgFTUHLKL","rFxw8gIMmB","z6LnFrNh4i","JclMnS0uGI","AFVx7xoS7T"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","tmPS8pqC7x","DpFCA1CohY","9ICcGScMcE","dfKe02y8D2","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","f6k1SAg4EE","Qy55tPpLXF","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⋰*⋻-35622","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1316","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=4160, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7524","layer":3},{"info":"compute unary expreesion, input=-7524, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=51893","layer":2},{"info":"number node, value=4331","layer":4},{"info":"compute unary expreesion, input=4331, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=1535","layer":4},{"info":"number node, value=2713","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=2713, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2524","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2524, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=51893, right_input=67, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-67","layer":1},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11484","layer":3},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=580","layer":3},{"info":"compute binary expreesion, left_input=-11484, right_input=580, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=12064","layer":2},{"info":"number node, value=3308","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=4338, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4338","layer":3},{"info":"number node, value=1715","layer":4},{"info":"number node, value=7936","layer":4},{"info":"compute binary expreesion, left_input=1715, right_input=7936, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=4338, right_input=113, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=12064, right_input=2802, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=12824","layer":1},{"info":"compute binary expreesion, left_input=-67, right_input=12824, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-51328","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A97⨒⋰*⋻3142)⨘)∌((⋰*⋻3288⩘)↙⋰*⋻1176∇⊂⋱⋰*⋻2047)⫃⨇((↩⋰*⋻1381)⇼⇔∾(⋰*⋻968⨶))↹⊜(⋰*⋻2538⨔⇊⋰*⋻3294)⋕⪉⪜(⋰*⋻131A⇌⫙⪟⋰*⋻5A65)=⋰*⋻-35622","reverse_text":"⋰*⋻-35622=((⋰*⋻A97⨒⋰*⋻3142)⨘)∌((⋰*⋻3288⩘)↙⋰*⋻1176∇⊂⋱⋰*⋻2047)⫃⨇((↩⋰*⋻1381)⇼⇔∾(⋰*⋻968⨶))↹⊜(⋰*⋻2538⨔⇊⋰*⋻3294)⋕⪉⪜(⋰*⋻131A⇌⫙⪟⋰*⋻5A65)","cot":[{"info":"⋰*⋻A97⨒⋰*⋻3142=⋰*⋻-5720","layer":3},{"info":"⋰*⋻-5720⨘=⋰*⋻35A96","layer":2},{"info":"⋰*⋻3288⩘=⋰*⋻61","layer":3},{"info":"⋰*⋻1176∇⊂⋱⋰*⋻2047=⋰*⋻1995","layer":3},{"info":"⋰*⋻61↙⋰*⋻1995=⋰*⋻61","layer":2},{"info":"⋰*⋻35A96∌⋰*⋻61=⋰*⋻-61","layer":1},{"info":"↩⋰*⋻1381=⋰*⋻-86A0","layer":3},{"info":"⋰*⋻968⨶=⋰*⋻488","layer":3},{"info":"⋰*⋻-86A0⇼⇔∾⋰*⋻488=⋰*⋻9078","layer":2},{"info":"⋰*⋻2538⨔⇊⋰*⋻3294=⋰*⋻3294","layer":3},{"info":"⋰*⋻131A⇌⫙⪟⋰*⋻5A65=⋰*⋻A3","layer":3},{"info":"⋰*⋻3294⋕⪉⪜⋰*⋻A3=⋰*⋻2118","layer":2},{"info":"⋰*⋻9078↹⊜⋰*⋻2118=⋰*⋻96A9","layer":1},{"info":"⋰*⋻-61⫃⨇⋰*⋻96A9=⋰*⋻-35622","layer":0}]}
{"id":354,"expression_no_base_symbol":"$1103$⩦$4964$⪍↜⋙(⇐$4045$)⩧⪆($8817$⪇≇⋚$4657$+($8412$≚⋢))∵≐","expression":"⋰*⋻913⩦⋰*⋻3803⪍↜⋙(⇐⋰*⋻3048)⩧⪆(⋰*⋻6696⪇≇⋚⋰*⋻3554+(⋰*⋻6358≚⋢))∵≐","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":195,"operation_count":8,"complexity_ratio":24.375,"tree":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1103,"base":11},"right_expr":{"type":"numeric_atoms","value":4964,"base":11}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":4045,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":8817,"base":11},"right_expr":{"type":"numeric_atoms","value":4657,"base":11}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":8412,"base":11}}}}},"used_operators":["59igzFyhWz","Ikt5ks8PT7","L05ObWFQCd","0kmYd0q39Y","nmZMaaE0Q9","W4YGzv6Whe","3sJ7IOPOlU","MahUMFw56D"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","3ViojmjbAp"],"result":"⋰*⋻-100","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":4},{"info":"number node, value=4964","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=4964, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2206","layer":3},{"info":"number node, value=4045","layer":4},{"info":"compute unary expreesion, input=4045, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=11496","layer":3},{"info":"compute binary expreesion, left_input=2206, right_input=11496, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-34805","layer":2},{"info":"number node, value=8817","layer":4},{"info":"number node, value=4657","layer":4},{"info":"compute binary expreesion, left_input=8817, right_input=4657, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=8412","layer":4},{"info":"compute unary expreesion, input=8412, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-89, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-89","layer":2},{"info":"compute binary expreesion, left_input=-34805, right_input=-89, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=89","layer":1},{"info":"compute unary expreesion, input=89, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=-121","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻913⩦⋰*⋻3803⪍↜⋙(⇐⋰*⋻3048)⩧⪆(⋰*⋻6696⪇≇⋚⋰*⋻3554+(⋰*⋻6358≚⋢))∵≐=⋰*⋻-100","reverse_text":"⋰*⋻-100=⋰*⋻913⩦⋰*⋻3803⪍↜⋙(⇐⋰*⋻3048)⩧⪆(⋰*⋻6696⪇≇⋚⋰*⋻3554+(⋰*⋻6358≚⋢))∵≐","cot":[{"info":"⋰*⋻913⩦⋰*⋻3803=⋰*⋻1726","layer":3},{"info":"⇐⋰*⋻3048=⋰*⋻8701","layer":3},{"info":"⋰*⋻1726⪍↜⋙⋰*⋻8701=⋰*⋻-24171","layer":2},{"info":"⋰*⋻6696⪇≇⋚⋰*⋻3554=⋰*⋻0","layer":3},{"info":"⋰*⋻6358≚⋢=⋰*⋻-81","layer":3},{"info":"⋰*⋻0+⋰*⋻-81=⋰*⋻-81","layer":2},{"info":"⋰*⋻-24171⩧⪆⋰*⋻-81=⋰*⋻81","layer":1},{"info":"⋰*⋻81∵≐=⋰*⋻-100","layer":0}]}
{"id":355,"expression_no_base_symbol":"(($2093$⨫⇇↔$1291$)⊮⊟↴($2983$⨐⩸⫘$3929$))⊮⊟↴(($4617$⫸⇳$1339$)⩇∃⫛(⨛$2511$))-($1887$⨚$5078$≄⊠(⫶⊄≣$3898$)⫚↹⊑$1019$⋝⋈⪟$4590$⇴∐$1757$⊔$2965$)","expression":"((⋰*⋻1633⨫⇇↔⋰*⋻A74)⊮⊟↴(⋰*⋻2272⨐⩸⫘⋰*⋻2A52))⊮⊟↴((⋰*⋻3518⫸⇳⋰*⋻1008)⩇∃⫛(⨛⋰*⋻1983))-(⋰*⋻1466⨚⋰*⋻38A7≄⊠(⫶⊄≣⋰*⋻2A24)⫚↹⊑⋰*⋻847⋝⋈⪟⋰*⋻34A3⇴∐⋰*⋻1358⊔⋰*⋻2256)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4227,"operation_count":15,"complexity_ratio":281.8,"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":2093,"base":11},"right_expr":{"type":"numeric_atoms","value":1291,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2983,"base":11},"right_expr":{"type":"numeric_atoms","value":3929,"base":11}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4617,"base":11},"right_expr":{"type":"numeric_atoms","value":1339,"base":11}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2511,"base":11}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1887,"base":11},"right_expr":{"type":"numeric_atoms","value":5078,"base":11}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":3898,"base":11}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":4590,"base":11}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1757,"base":11},"right_expr":{"type":"numeric_atoms","value":2965,"base":11}}}}},"used_operators":["rysDP5nf3Z","QDVgd2eftb","LXhwmt4mBO","fu6greOZ01","1aApVXNlOP","gx7XJ7hdpj","CoMdbyAt7R","dfKe02y8D2","vXNesLlMH1","nREPSIbpBE","wxb3vTeyAj","HnzytWxmAO","2DDjHMKMc0","E4l6HwMY31"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","3ViojmjbAp","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","BjRHVeLaeN","12rbrZMWeM","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2093","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=1291, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2983","layer":4},{"info":"number node, value=3929","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=3929, 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=-527, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"number node, value=4617","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=1339, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"number node, value=1887","layer":4},{"info":"number node, value=5078","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=5078, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-15604","layer":3},{"info":"number node, value=3898","layer":4},{"info":"compute unary expreesion, input=3898, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=273566125","layer":3},{"info":"compute binary expreesion, left_input=-15604, right_input=273566125, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=inf","layer":2},{"info":"number node, value=1019","layer":4},{"info":"number node, value=4590","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=4590, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1019","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=2965, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=15939","layer":3},{"info":"compute binary expreesion, left_input=1019, right_input=15939, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1633⨫⇇↔⋰*⋻A74)⊮⊟↴(⋰*⋻2272⨐⩸⫘⋰*⋻2A52))⊮⊟↴((⋰*⋻3518⫸⇳⋰*⋻1008)⩇∃⫛(⨛⋰*⋻1983))-(⋰*⋻1466⨚⋰*⋻38A7≄⊠(⫶⊄≣⋰*⋻2A24)⫚↹⊑⋰*⋻847⋝⋈⪟⋰*⋻34A3⇴∐⋰*⋻1358⊔⋰*⋻2256)=NaN","reverse_text":"NaN=((⋰*⋻1633⨫⇇↔⋰*⋻A74)⊮⊟↴(⋰*⋻2272⨐⩸⫘⋰*⋻2A52))⊮⊟↴((⋰*⋻3518⫸⇳⋰*⋻1008)⩇∃⫛(⨛⋰*⋻1983))-(⋰*⋻1466⨚⋰*⋻38A7≄⊠(⫶⊄≣⋰*⋻2A24)⫚↹⊑⋰*⋻847⋝⋈⪟⋰*⋻34A3⇴∐⋰*⋻1358⊔⋰*⋻2256)","cot":[{"info":"⋰*⋻1633⨫⇇↔⋰*⋻A74=⋰*⋻-43A","layer":3},{"info":"⋰*⋻2272⨐⩸⫘⋰*⋻2A52=NaN","layer":3},{"info":"⋰*⋻-43A⊮⊟↴NaN=NaN","layer":2},{"info":"⋰*⋻3518⫸⇳⋰*⋻1008=⋰*⋻0","layer":3},{"info":"⨛⋰*⋻1983=NaN","layer":3},{"info":"⋰*⋻0⩇∃⫛NaN=NaN","layer":2},{"info":"NaN⊮⊟↴NaN=NaN","layer":1},{"info":"⋰*⋻1466⨚⋰*⋻38A7=⋰*⋻-107A6","layer":3},{"info":"⫶⊄≣⋰*⋻2A24=⋰*⋻13046A308","layer":3},{"info":"⋰*⋻-107A6≄⊠⋰*⋻13046A308=Inf","layer":2},{"info":"⋰*⋻847⋝⋈⪟⋰*⋻34A3=⋰*⋻847","layer":3},{"info":"⋰*⋻1358⊔⋰*⋻2256=⋰*⋻10A80","layer":3},{"info":"⋰*⋻847⇴∐⋰*⋻10A80=NaN","layer":2},{"info":"Inf⫚↹⊑NaN=⋰*⋻-377","layer":1},{"info":"NaN-⋰*⋻-377=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"(($2443$⫡⨏$3754$)⩺⋐⫨)⨚($1224$⫥∨⫟$1895$)∌($1247$≬⋮$4288$)≎⊠⪸((⊀($1079$⪒$3015$))⇪⋭)","expression":"((⋰*⋻1921⫡⨏⋰*⋻2903)⩺⋐⫨)⨚(⋰*⋻A13⫥∨⫟⋰*⋻1473)∌(⋰*⋻A34≬⋮⋰*⋻3249)≎⊠⪸((⊀(⋰*⋻8A1⪒⋰*⋻22A1))⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":809,"operation_count":10,"complexity_ratio":80.9,"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":2443,"base":11},"right_expr":{"type":"numeric_atoms","value":3754,"base":11}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1224,"base":11},"right_expr":{"type":"numeric_atoms","value":1895,"base":11}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1247,"base":11},"right_expr":{"type":"numeric_atoms","value":4288,"base":11}}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1079,"base":11},"right_expr":{"type":"numeric_atoms","value":3015,"base":11}}}}},"used_operators":["bJkvcejdHO","nREPSIbpBE","yS9ePUuUdn","QMFrweE19q","8cLx32lpNA","KYD54nUTWz","kbkesczE7y","Z8Yg6dlDSp","oPMjh9089D","f6k1SAg4EE"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","BjRHVeLaeN","12rbrZMWeM","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2443","layer":4},{"info":"number node, value=3754","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=3754, 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=20506","layer":3},{"info":"compute unary expreesion, input=20506, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1895, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=4288","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=4288, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-868","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-868, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4406","layer":1},{"info":"number node, value=1079","layer":4},{"info":"number node, value=3015","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=3015, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4094","layer":3},{"info":"compute unary expreesion, input=-4094, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=62193","layer":2},{"info":"compute unary expreesion, input=62193, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4406, 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":11,"result_base":11,"text":"((⋰*⋻1921⫡⨏⋰*⋻2903)⩺⋐⫨)⨚(⋰*⋻A13⫥∨⫟⋰*⋻1473)∌(⋰*⋻A34≬⋮⋰*⋻3249)≎⊠⪸((⊀(⋰*⋻8A1⪒⋰*⋻22A1))⇪⋭)=⋰*⋻61","reverse_text":"⋰*⋻61=((⋰*⋻1921⫡⨏⋰*⋻2903)⩺⋐⫨)⨚(⋰*⋻A13⫥∨⫟⋰*⋻1473)∌(⋰*⋻A34≬⋮⋰*⋻3249)≎⊠⪸((⊀(⋰*⋻8A1⪒⋰*⋻22A1))⇪⋭)","cot":[{"info":"⋰*⋻1921⫡⨏⋰*⋻2903=⋰*⋻14452","layer":3},{"info":"⋰*⋻14452⩺⋐⫨=⋰*⋻0","layer":2},{"info":"⋰*⋻A13⫥∨⫟⋰*⋻1473=NaN","layer":3},{"info":"⋰*⋻A34≬⋮⋰*⋻3249=⋰*⋻71A","layer":3},{"info":"NaN∌⋰*⋻71A=⋰*⋻-71A","layer":2},{"info":"⋰*⋻0⨚⋰*⋻-71A=⋰*⋻3346","layer":1},{"info":"⋰*⋻8A1⪒⋰*⋻22A1=⋰*⋻-3092","layer":3},{"info":"⊀⋰*⋻-3092=⋰*⋻427AA","layer":2},{"info":"⋰*⋻427AA⇪⋭=NaN","layer":1},{"info":"⋰*⋻3346≎⊠⪸NaN=⋰*⋻61","layer":0}]}
{"id":357,"expression_no_base_symbol":"($5890$∠⫱$2673$⨑≵⋬$8365$∀⇚≩$7194$)⋕⪉⪜(($1817$⇴∐$2491$)⫣⪄⊒($3505$⩧⪆$3280$))∧","expression":"(⋰*⋻4475∠⫱⋰*⋻2010⨑≵⋬⋰*⋻6315∀⇚≩⋰*⋻5450)⋕⪉⪜((⋰*⋻1402⇴∐⋰*⋻1965)⫣⪄⊒(⋰*⋻26A7⩧⪆⋰*⋻2512))∧","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":58691,"operation_count":8,"complexity_ratio":7336.375,"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":5890,"base":11},"right_expr":{"type":"numeric_atoms","value":2673,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8365,"base":11},"right_expr":{"type":"numeric_atoms","value":7194,"base":11}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1817,"base":11},"right_expr":{"type":"numeric_atoms","value":2491,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3505,"base":11},"right_expr":{"type":"numeric_atoms","value":3280,"base":11}}}}},"used_operators":["z63VuFQld9","z6LnFrNh4i","XnXgA4xnOs","QvoQhV0rrE","LRNGc0VcxI","RabNbG55vr","HnzytWxmAO","Ikt5ks8PT7"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","X99M06cbEe","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5890","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=5890, right_input=2673, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=8365","layer":4},{"info":"number node, value=7194","layer":4},{"info":"compute binary expreesion, left_input=8365, right_input=7194, 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=1234, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"number node, value=1817","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=2491, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3505","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=3280, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3280","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3280, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute unary expreesion, input=204, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4475∠⫱⋰*⋻2010⨑≵⋬⋰*⋻6315∀⇚≩⋰*⋻5450)⋕⪉⪜((⋰*⋻1402⇴∐⋰*⋻1965)⫣⪄⊒(⋰*⋻26A7⩧⪆⋰*⋻2512))∧=NaN","reverse_text":"NaN=(⋰*⋻4475∠⫱⋰*⋻2010⨑≵⋬⋰*⋻6315∀⇚≩⋰*⋻5450)⋕⪉⪜((⋰*⋻1402⇴∐⋰*⋻1965)⫣⪄⊒(⋰*⋻26A7⩧⪆⋰*⋻2512))∧","cot":[{"info":"⋰*⋻4475∠⫱⋰*⋻2010=⋰*⋻A22","layer":3},{"info":"⋰*⋻6315∀⇚≩⋰*⋻5450=NaN","layer":3},{"info":"⋰*⋻A22⨑≵⋬NaN=NaN","layer":2},{"info":"⋰*⋻1402⇴∐⋰*⋻1965=NaN","layer":3},{"info":"⋰*⋻26A7⩧⪆⋰*⋻2512=⋰*⋻-2512","layer":3},{"info":"NaN⫣⪄⊒⋰*⋻-2512=⋰*⋻136","layer":2},{"info":"NaN⋕⪉⪜⋰*⋻136=⋰*⋻176","layer":1},{"info":"⋰*⋻176∧=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"(((⨞⊢$2671$)⊀⩕)⊹≧⊝)⨸($1883$⊢$1098$⪘⫢$1366$⊴$1465$≬⋮($3118$⪝$1335$⪁$1106$≁↽≥$2906$))","expression":"(((⨞⊢⋰*⋻2009)⊀⩕)⊹≧⊝)⨸(⋰*⋻1462⊢⋰*⋻909⪘⫢⋰*⋻1032⊴⋰*⋻1112≬⋮(⋰*⋻2385⪝⋰*⋻1004⪁⋰*⋻916≁↽≥⋰*⋻2202))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":37445,"operation_count":11,"complexity_ratio":3404.090909090909,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2671,"base":11}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1883,"base":11},"right_expr":{"type":"numeric_atoms","value":1098,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1366,"base":11},"right_expr":{"type":"numeric_atoms","value":1465,"base":11}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3118,"base":11},"right_expr":{"type":"numeric_atoms","value":1335,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1106,"base":11},"right_expr":{"type":"numeric_atoms","value":2906,"base":11}}}}},"used_operators":["KmoU8R5UQR","LxFB4K6j0n","r0FS3hW4cC","xUOZtlo3hN","kbkesczE7y","oacrs7FA3X","5twsqlHp2o","Nsiff2A1zJ","I7sXao9hZE","wicAB68Tmb","ncHt1X6cMc"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","nhYeJWJD5X","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2671","layer":4},{"info":"compute unary expreesion, input=2671, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2845","layer":3},{"info":"compute unary expreesion, input=-2845, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=0","layer":1},{"info":"number node, value=1883","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=1098, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4010","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1465, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4010, 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=3118","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=3118, right_input=1335, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7531","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=2906","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=2906, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=26522","layer":3},{"info":"compute binary expreesion, left_input=-7531, right_input=26522, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⨞⊢⋰*⋻2009)⊀⩕)⊹≧⊝)⨸(⋰*⋻1462⊢⋰*⋻909⪘⫢⋰*⋻1032⊴⋰*⋻1112≬⋮(⋰*⋻2385⪝⋰*⋻1004⪁⋰*⋻916≁↽≥⋰*⋻2202))=NaN","reverse_text":"NaN=(((⨞⊢⋰*⋻2009)⊀⩕)⊹≧⊝)⨸(⋰*⋻1462⊢⋰*⋻909⪘⫢⋰*⋻1032⊴⋰*⋻1112≬⋮(⋰*⋻2385⪝⋰*⋻1004⪁⋰*⋻916≁↽≥⋰*⋻2202))","cot":[{"info":"⨞⊢⋰*⋻2009=⋰*⋻-2157","layer":3},{"info":"⋰*⋻-2157⊀⩕=⋰*⋻0","layer":2},{"info":"⋰*⋻0⊹≧⊝=⋰*⋻0","layer":1},{"info":"⋰*⋻1462⊢⋰*⋻909=⋰*⋻-3016","layer":3},{"info":"⋰*⋻1032⊴⋰*⋻1112=NaN","layer":3},{"info":"⋰*⋻-3016⪘⫢NaN=NaN","layer":2},{"info":"⋰*⋻2385⪝⋰*⋻1004=⋰*⋻-5727","layer":3},{"info":"⋰*⋻916≁↽≥⋰*⋻2202=⋰*⋻18A21","layer":3},{"info":"⋰*⋻-5727⪁⋰*⋻18A21=NaN","layer":2},{"info":"NaN≬⋮NaN=NaN","layer":1},{"info":"⋰*⋻0⨸NaN=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"((≀↧⇸$1912$)⨰$2119$⋾⨃∁$2699$)⇻⋧≁(($2751$⨕⋳)⪚$2319$↳∿⪆$4252$)⫁⪎($1499$≦↸$1230$⊢($1237$∷$5757$))⫁⪎(≔($1552$⫑))","expression":"((≀↧⇸⋰*⋻1489)⨰⋰*⋻1657⋾⨃∁⋰*⋻2034)⇻⋧≁((⋰*⋻2081⨕⋳)⪚⋰*⋻1819↳∿⪆⋰*⋻3216)⫁⪎(⋰*⋻1143≦↸⋰*⋻A19⊢(⋰*⋻A25∷⋰*⋻4364))⫁⪎(≔(⋰*⋻1191⫑))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5574,"operation_count":14,"complexity_ratio":398.14285714285717,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1912,"base":11}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2119,"base":11},"right_expr":{"type":"numeric_atoms","value":2699,"base":11}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2751,"base":11}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2319,"base":11},"right_expr":{"type":"numeric_atoms","value":4252,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1499,"base":11},"right_expr":{"type":"numeric_atoms","value":1230,"base":11}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1237,"base":11},"right_expr":{"type":"numeric_atoms","value":5757,"base":11}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1552,"base":11}}}}},"used_operators":["xRrnTEsQ6j","jCPkEVoL5K","eewbuw0ToL","ljTHtUsqzn","212REbPD9h","HrjLwUk87U","4X4GscPmMf","Cw4SuJJGHO","5twsqlHp2o","RygbFNSyEJ","D3AQDKkPcf","8FLs4eVsLt","CgIo77xlM2"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","NTOWxs364D","7j4O788W3g","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1912","layer":4},{"info":"compute unary expreesion, input=1912, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3824","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=2699, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=72813528","layer":3},{"info":"compute binary expreesion, left_input=3824, right_input=72813528, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-72809694","layer":2},{"info":"number node, value=2751","layer":4},{"info":"compute unary expreesion, input=2751, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=161716","layer":3},{"info":"number node, value=2319","layer":4},{"info":"number node, value=4252","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=4252, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=161716, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-72809694, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":1},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1230, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4777","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=5757","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=5757, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5757","layer":3},{"info":"compute binary expreesion, left_input=-4777, right_input=5757, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=9310","layer":2},{"info":"number node, value=1552","layer":4},{"info":"compute unary expreesion, input=1552, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute unary expreesion, input=3979, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-110118","layer":2},{"info":"compute binary expreesion, left_input=9310, right_input=-110118, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=119428","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=119428, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≀↧⇸⋰*⋻1489)⨰⋰*⋻1657⋾⨃∁⋰*⋻2034)⇻⋧≁((⋰*⋻2081⨕⋳)⪚⋰*⋻1819↳∿⪆⋰*⋻3216)⫁⪎(⋰*⋻1143≦↸⋰*⋻A19⊢(⋰*⋻A25∷⋰*⋻4364))⫁⪎(≔(⋰*⋻1191⫑))=NaN","reverse_text":"NaN=((≀↧⇸⋰*⋻1489)⨰⋰*⋻1657⋾⨃∁⋰*⋻2034)⇻⋧≁((⋰*⋻2081⨕⋳)⪚⋰*⋻1819↳∿⪆⋰*⋻3216)⫁⪎(⋰*⋻1143≦↸⋰*⋻A19⊢(⋰*⋻A25∷⋰*⋻4364))⫁⪎(≔(⋰*⋻1191⫑))","cot":[{"info":"≀↧⇸⋰*⋻1489=⋰*⋻2967","layer":3},{"info":"⋰*⋻1657⋾⨃∁⋰*⋻2034=⋰*⋻38112977","layer":3},{"info":"⋰*⋻2967⨰⋰*⋻38112977=⋰*⋻-38110001","layer":2},{"info":"⋰*⋻2081⨕⋳=⋰*⋻100555","layer":3},{"info":"⋰*⋻1819↳∿⪆⋰*⋻3216=NaN","layer":3},{"info":"⋰*⋻100555⪚NaN=NaN","layer":2},{"info":"⋰*⋻-38110001⇻⋧≁NaN=NaN","layer":1},{"info":"⋰*⋻1143≦↸⋰*⋻A19=⋰*⋻-3653","layer":3},{"info":"⋰*⋻A25∷⋰*⋻4364=⋰*⋻4364","layer":3},{"info":"⋰*⋻-3653⊢⋰*⋻4364=⋰*⋻6AA4","layer":2},{"info":"⋰*⋻1191⫑=⋰*⋻2A98","layer":3},{"info":"≔⋰*⋻2A98=⋰*⋻-75808","layer":2},{"info":"⋰*⋻6AA4⫁⪎⋰*⋻-75808=⋰*⋻81801","layer":1},{"info":"NaN⫁⪎⋰*⋻81801=NaN","layer":0}]}
{"id":360,"expression_no_base_symbol":"∨∊⋏(($1650$/$3967$)≧⫂∧($6034$↯⫤)⩷∴(($2145$∴≳≥)⇔⨋))","expression":"∨∊⋏((⋰*⋻1270/⋰*⋻2A87)≧⫂∧(⋰*⋻4596↯⫤)⩷∴((⋰*⋻1680∴≳≥)⇔⨋))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":473,"operation_count":7,"complexity_ratio":67.57142857142857,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1650,"base":11},"right_expr":{"type":"numeric_atoms","value":3967,"base":11}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":6034,"base":11}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":2145,"base":11}}}}},"used_operators":["R5aXW34M0v","9FxExcQeMw","Ph9nP6C5qx","XhwjNDsVaA","VwlE7vj6HS","uBihLCJcMX","a3N2hFLK0J"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"⋰*⋻-1684428","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=3967, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=6034","layer":4},{"info":"compute unary expreesion, input=6034, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"number node, value=2145","layer":4},{"info":"compute unary expreesion, input=2145, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=8580","layer":3},{"info":"compute unary expreesion, input=8580, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=50410","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=50410, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-101798","layer":1},{"info":"compute unary expreesion, input=-101798, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-2860833","layer":0}],"base":11,"result_base":11,"text":"∨∊⋏((⋰*⋻1270/⋰*⋻2A87)≧⫂∧(⋰*⋻4596↯⫤)⩷∴((⋰*⋻1680∴≳≥)⇔⨋))=⋰*⋻-1684428","reverse_text":"⋰*⋻-1684428=∨∊⋏((⋰*⋻1270/⋰*⋻2A87)≧⫂∧(⋰*⋻4596↯⫤)⩷∴((⋰*⋻1680∴≳≥)⇔⨋))","cot":[{"info":"⋰*⋻1270/⋰*⋻2A87=⋰*⋻0","layer":3},{"info":"⋰*⋻4596↯⫤=⋰*⋻0","layer":3},{"info":"⋰*⋻0≧⫂∧⋰*⋻0=⋰*⋻-3A0","layer":2},{"info":"⋰*⋻1680∴≳≥=⋰*⋻64A0","layer":3},{"info":"⋰*⋻64A0⇔⨋=⋰*⋻34968","layer":2},{"info":"⋰*⋻-3A0⩷∴⋰*⋻34968=⋰*⋻-6A534","layer":1},{"info":"∨∊⋏⋰*⋻-6A534=⋰*⋻-1684428","layer":0}]}
{"id":361,"expression_no_base_symbol":"⊵⊁((⋣$1441$⪃⊛⇣$3175$)⋣⋖($1011$≁↽≥$5334$)⇡⇂($4891$↺$1168$))","expression":"⊵⊁((⋣⋰*⋻10A0⪃⊛⇣⋰*⋻2427)⋣⋖(⋰*⋻83A≁↽≥⋰*⋻400A)⇡⇂(⋰*⋻3747↺⋰*⋻972))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7724,"operation_count":7,"complexity_ratio":1103.4285714285713,"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":1441,"base":11},"right_expr":{"type":"numeric_atoms","value":3175,"base":11}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1011,"base":11},"right_expr":{"type":"numeric_atoms","value":5334,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4891,"base":11},"right_expr":{"type":"numeric_atoms","value":1168,"base":11}}}}},"used_operators":["AvED76WdY7","J0M6qkBnIM","zQWRhDnn8F","rrgAzCduG9","UMwdvZNt44","ncHt1X6cMc","7j4O788W3g"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"number node, value=3175","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=3175, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-362701","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=5334","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=5334, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25097","layer":3},{"info":"number node, value=4891","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=4891, right_input=1168, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1168","layer":3},{"info":"compute binary expreesion, left_input=25097, right_input=1168, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-362701, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-362701","layer":1},{"info":"compute unary expreesion, input=-362701, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⊵⊁((⋣⋰*⋻10A0⪃⊛⇣⋰*⋻2427)⋣⋖(⋰*⋻83A≁↽≥⋰*⋻400A)⇡⇂(⋰*⋻3747↺⋰*⋻972))=⋰*⋻0","reverse_text":"⋰*⋻0=⊵⊁((⋣⋰*⋻10A0⪃⊛⇣⋰*⋻2427)⋣⋖(⋰*⋻83A≁↽≥⋰*⋻400A)⇡⇂(⋰*⋻3747↺⋰*⋻972))","cot":[{"info":"⋰*⋻10A0⪃⊛⇣⋰*⋻2427=⋰*⋻A22","layer":3},{"info":"⋣⋰*⋻A22=⋰*⋻-228559","layer":2},{"info":"⋰*⋻83A≁↽≥⋰*⋻400A=⋰*⋻17946","layer":3},{"info":"⋰*⋻3747↺⋰*⋻972=⋰*⋻972","layer":3},{"info":"⋰*⋻17946⇡⇂⋰*⋻972=NaN","layer":2},{"info":"⋰*⋻-228559⋣⋖NaN=⋰*⋻-228559","layer":1},{"info":"⊵⊁⋰*⋻-228559=⋰*⋻0","layer":0}]}
{"id":362,"expression_no_base_symbol":"⇾⩊⇾((⫡⇟⇯($2067$⩚⊴⇥$1011$))+⪬∐((⋼∭⪍$6603$)⇮⋭(⨮↦↱$1012$)))","expression":"⇾⩊⇾((⫡⇟⇯(⋰*⋻160A⩚⊴⇥⋰*⋻83A))+⪬∐((⋼∭⪍⋰*⋻4A63)⇮⋭(⨮↦↱⋰*⋻840)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":649,"operation_count":7,"complexity_ratio":92.71428571428571,"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":2067,"base":11},"right_expr":{"type":"numeric_atoms","value":1011,"base":11}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":6603,"base":11}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1012,"base":11}}}}},"used_operators":["bx9Z9DAK5y","2GS7woTJqF","qWUSsah53b","NTOWxs364D","vkpjKywKVM","DbCuESL50I","sYcpBQ0cFf"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"⋰*⋻706A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2067","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=1011, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3199","layer":3},{"info":"compute unary expreesion, input=-3199, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4067","layer":2},{"info":"number node, value=6603","layer":4},{"info":"compute unary expreesion, input=6603, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-24672","layer":3},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-794322","layer":3},{"info":"compute binary expreesion, left_input=-24672, right_input=-794322, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=4067, right_input=67, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-12201","layer":1},{"info":"compute unary expreesion, input=-12201, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=103323","layer":0}],"base":11,"result_base":11,"text":"⇾⩊⇾((⫡⇟⇯(⋰*⋻160A⩚⊴⇥⋰*⋻83A))+⪬∐((⋼∭⪍⋰*⋻4A63)⇮⋭(⨮↦↱⋰*⋻840)))=⋰*⋻706A0","reverse_text":"⋰*⋻706A0=⇾⩊⇾((⫡⇟⇯(⋰*⋻160A⩚⊴⇥⋰*⋻83A))+⪬∐((⋼∭⪍⋰*⋻4A63)⇮⋭(⨮↦↱⋰*⋻840)))","cot":[{"info":"⋰*⋻160A⩚⊴⇥⋰*⋻83A=⋰*⋻-2449","layer":3},{"info":"⫡⇟⇯⋰*⋻-2449=⋰*⋻3068","layer":2},{"info":"⋼∭⪍⋰*⋻4A63=⋰*⋻-1759A","layer":3},{"info":"⨮↦↱⋰*⋻840=⋰*⋻-4A2871","layer":3},{"info":"⋰*⋻-1759A⇮⋭⋰*⋻-4A2871=⋰*⋻61","layer":2},{"info":"⋰*⋻3068+⪬∐⋰*⋻61=⋰*⋻-9192","layer":1},{"info":"⇾⩊⇾⋰*⋻-9192=⋰*⋻706A0","layer":0}]}
{"id":363,"expression_no_base_symbol":"((⨛($3066$⩹$5377$))⨸⪁$6635$⋣⋖$6804$⊲⩕⊾($1286$↯⫤))⨑⩅≇(($2125$≒∊$5114$)⩣⫁∢($2266$⫔⩽⩺$1036$)≬⋮(-$1934$⋓$1190$))","expression":"((⨛(⋰*⋻2338⩹⋰*⋻4049))⨸⪁⋰*⋻4A92⋣⋖⋰*⋻5126⊲⩕⊾(⋰*⋻A6A↯⫤))⨑⩅≇((⋰*⋻1662≒∊⋰*⋻392A)⩣⫁∢(⋰*⋻1780⫔⩽⩺⋰*⋻862)≬⋮(-⋰*⋻14A9⋓⋰*⋻992))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":291,"operation_count":13,"complexity_ratio":22.384615384615383,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3066,"base":11},"right_expr":{"type":"numeric_atoms","value":5377,"base":11}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6635,"base":11},"right_expr":{"type":"numeric_atoms","value":6804,"base":11}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1286,"base":11}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2125,"base":11},"right_expr":{"type":"numeric_atoms","value":5114,"base":11}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2266,"base":11},"right_expr":{"type":"numeric_atoms","value":1036,"base":11}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1934,"base":11},"right_expr":{"type":"numeric_atoms","value":1190,"base":11}}}}},"used_operators":["h92wMvzauj","g55IO6H4Gj","CoMdbyAt7R","2Wsdkap16l","DmTXOeWf9t","J0M6qkBnIM","VwlE7vj6HS","kbkesczE7y","JDUIKTTSIa","5KTvxBwnZo","i9eR4S00cU","t8gj7n24qd","T2fj7uvVaJ"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Tw270M8GLb","fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋰*⋻780","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3066","layer":4},{"info":"number node, value=5377","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=5377, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5375","layer":3},{"info":"compute unary expreesion, input=5375, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"number node, value=6635","layer":4},{"info":"number node, value=6804","layer":4},{"info":"compute binary expreesion, left_input=6635, right_input=6804, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6635","layer":3},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6635, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-97630","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-97630, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=2125","layer":4},{"info":"number node, value=5114","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=5114, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1641","layer":3},{"info":"number node, value=2266","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=1036, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1641, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=1934","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=1190, 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":11,"result_base":11,"text":"((⨛(⋰*⋻2338⩹⋰*⋻4049))⨸⪁⋰*⋻4A92⋣⋖⋰*⋻5126⊲⩕⊾(⋰*⋻A6A↯⫤))⨑⩅≇((⋰*⋻1662≒∊⋰*⋻392A)⩣⫁∢(⋰*⋻1780⫔⩽⩺⋰*⋻862)≬⋮(-⋰*⋻14A9⋓⋰*⋻992))=⋰*⋻780","reverse_text":"⋰*⋻780=((⨛(⋰*⋻2338⩹⋰*⋻4049))⨸⪁⋰*⋻4A92⋣⋖⋰*⋻5126⊲⩕⊾(⋰*⋻A6A↯⫤))⨑⩅≇((⋰*⋻1662≒∊⋰*⋻392A)⩣⫁∢(⋰*⋻1780⫔⩽⩺⋰*⋻862)≬⋮(-⋰*⋻14A9⋓⋰*⋻992))","cot":[{"info":"⋰*⋻2338⩹⋰*⋻4049=⋰*⋻4047","layer":3},{"info":"⨛⋰*⋻4047=NaN","layer":2},{"info":"⋰*⋻4A92⋣⋖⋰*⋻5126=⋰*⋻4A92","layer":3},{"info":"⋰*⋻A6A↯⫤=⋰*⋻0","layer":3},{"info":"⋰*⋻4A92⊲⩕⊾⋰*⋻0=⋰*⋻-67395","layer":2},{"info":"NaN⨸⪁⋰*⋻-67395=NaN","layer":1},{"info":"⋰*⋻1662≒∊⋰*⋻392A=⋰*⋻-1262","layer":3},{"info":"⋰*⋻1780⫔⩽⩺⋰*⋻862=NaN","layer":3},{"info":"⋰*⋻-1262⩣⫁∢NaN=NaN","layer":2},{"info":"⋰*⋻14A9⋓⋰*⋻992=⋰*⋻0","layer":3},{"info":"-⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN≬⋮⋰*⋻0=⋰*⋻71A","layer":1},{"info":"NaN⨑⩅≇⋰*⋻71A=⋰*⋻780","layer":0}]}
{"id":364,"expression_no_base_symbol":"((($6648$⋷$4349$)∵≐)⫡⨏($2176$-$9073$)≚⊃≕($2789$⨔≚≋$1801$))∌(⨙⪌(⋠∜(⩏⊷≩$2895$)))","expression":"(((⋰*⋻4AA4⋷⋰*⋻32A4)∵≐)⫡⨏(⋰*⋻16A9-⋰*⋻68A9)≚⊃≕(⋰*⋻2106⨔≚≋⋰*⋻1398))∌(⨙⪌(⋠∜(⩏⊷≩⋰*⋻21A2)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1044,"operation_count":10,"complexity_ratio":104.4,"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":6648,"base":11},"right_expr":{"type":"numeric_atoms","value":4349,"base":11}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2176,"base":11},"right_expr":{"type":"numeric_atoms","value":9073,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2789,"base":11},"right_expr":{"type":"numeric_atoms","value":1801,"base":11}}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2895,"base":11}}}}},"used_operators":["8cLx32lpNA","QMFrweE19q","59igzFyhWz","23Mk6UjR3U","Bmrmz2XGnR","rysDP5nf3Z","Z57zeUYC9z","vEGLkm4Z2k","ZJpFhNJr3x","uOZ1tnYMDE"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","23Mk6UjR3U","12rbrZMWeM"],"result":"⋰*⋻-7334","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6648","layer":4},{"info":"number node, value=4349","layer":4},{"info":"compute binary expreesion, left_input=6648, right_input=4349, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2050","layer":3},{"info":"compute unary expreesion, input=2050, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1104","layer":2},{"info":"number node, value=2176","layer":4},{"info":"number node, value=9073","layer":4},{"info":"compute binary expreesion, left_input=2176, right_input=9073, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6897","layer":3},{"info":"number node, value=2789","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=1801, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-6897, right_input=9872, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-8010","layer":2},{"info":"compute binary expreesion, left_input=1104, right_input=-8010, 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=-9717","layer":1},{"info":"number node, value=2895","layer":4},{"info":"compute unary expreesion, input=2895, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=5489","layer":3},{"info":"compute unary expreesion, input=5489, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=24240","layer":2},{"info":"compute unary expreesion, input=24240, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-9717, right_input=868, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-9717","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻4AA4⋷⋰*⋻32A4)∵≐)⫡⨏(⋰*⋻16A9-⋰*⋻68A9)≚⊃≕(⋰*⋻2106⨔≚≋⋰*⋻1398))∌(⨙⪌(⋠∜(⩏⊷≩⋰*⋻21A2)))=⋰*⋻-7334","reverse_text":"⋰*⋻-7334=(((⋰*⋻4AA4⋷⋰*⋻32A4)∵≐)⫡⨏(⋰*⋻16A9-⋰*⋻68A9)≚⊃≕(⋰*⋻2106⨔≚≋⋰*⋻1398))∌(⨙⪌(⋠∜(⩏⊷≩⋰*⋻21A2)))","cot":[{"info":"⋰*⋻4AA4⋷⋰*⋻32A4=⋰*⋻15A4","layer":3},{"info":"⋰*⋻15A4∵≐=⋰*⋻914","layer":2},{"info":"⋰*⋻16A9-⋰*⋻68A9=⋰*⋻-5200","layer":3},{"info":"⋰*⋻2106⨔≚≋⋰*⋻1398=⋰*⋻7465","layer":3},{"info":"⋰*⋻-5200≚⊃≕⋰*⋻7465=⋰*⋻-6022","layer":2},{"info":"⋰*⋻914⫡⨏⋰*⋻-6022=⋰*⋻-7334","layer":1},{"info":"⩏⊷≩⋰*⋻21A2=⋰*⋻4140","layer":3},{"info":"⋠∜⋰*⋻4140=⋰*⋻17237","layer":2},{"info":"⨙⪌⋰*⋻17237=⋰*⋻71A","layer":1},{"info":"⋰*⋻-7334∌⋰*⋻71A=⋰*⋻-7334","layer":0}]}
{"id":365,"expression_no_base_symbol":"(∜⨇((⪲⇎$8625$)⋅⇍$1009$⩁⩘$3664$))⩌⋺((($4188$∷$1015$)⋘⨑⨽)⫰⋱(≪($4777$⪎⩰)))","expression":"(∜⨇((⪲⇎⋰*⋻6531)⋅⇍⋰*⋻838⩁⩘⋰*⋻2831))⩌⋺(((⋰*⋻3168∷⋰*⋻843)⋘⨑⨽)⫰⋱(≪(⋰*⋻3653⪎⩰)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":265,"operation_count":10,"complexity_ratio":26.5,"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":8625,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1009,"base":11},"right_expr":{"type":"numeric_atoms","value":3664,"base":11}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4188,"base":11},"right_expr":{"type":"numeric_atoms","value":1015,"base":11}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":4777,"base":11}}}}},"used_operators":["g7Hmc5v1ko","uFPyJr306J","AdZkA7nFnk","XPYlsWDdGa","gub5Cegaqo","6o9Blt3TJ6","WmT3o8z6ya","D3AQDKkPcf","Qtd6bqUJcN","2ufhKmSs5H"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"⋰*⋻4316","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8625","layer":4},{"info":"compute unary expreesion, input=8625, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=17250","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3664, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=15604","layer":3},{"info":"compute binary expreesion, left_input=17250, right_input=15604, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":1},{"info":"number node, value=4188","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=4188, right_input=1015, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1015","layer":3},{"info":"compute unary expreesion, input=1015, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=5858","layer":2},{"info":"number node, value=4777","layer":4},{"info":"compute unary expreesion, input=4777, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute unary expreesion, input=-34, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=5858, right_input=913, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5825","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5825, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=5704","layer":0}],"base":11,"result_base":11,"text":"(∜⨇((⪲⇎⋰*⋻6531)⋅⇍⋰*⋻838⩁⩘⋰*⋻2831))⩌⋺(((⋰*⋻3168∷⋰*⋻843)⋘⨑⨽)⫰⋱(≪(⋰*⋻3653⪎⩰)))=⋰*⋻4316","reverse_text":"⋰*⋻4316=(∜⨇((⪲⇎⋰*⋻6531)⋅⇍⋰*⋻838⩁⩘⋰*⋻2831))⩌⋺(((⋰*⋻3168∷⋰*⋻843)⋘⨑⨽)⫰⋱(≪(⋰*⋻3653⪎⩰)))","cot":[{"info":"⪲⇎⋰*⋻6531=⋰*⋻11A62","layer":3},{"info":"⋰*⋻838⩁⩘⋰*⋻2831=⋰*⋻107A6","layer":3},{"info":"⋰*⋻11A62⋅⇍⋰*⋻107A6=⋰*⋻-20","layer":2},{"info":"∜⨇⋰*⋻-20=⋰*⋻0","layer":1},{"info":"⋰*⋻3168∷⋰*⋻843=⋰*⋻843","layer":3},{"info":"⋰*⋻843⋘⨑⨽=⋰*⋻4446","layer":2},{"info":"⋰*⋻3653⪎⩰=⋰*⋻-31","layer":3},{"info":"≪⋰*⋻-31=⋰*⋻760","layer":2},{"info":"⋰*⋻4446⫰⋱⋰*⋻760=⋰*⋻-4416","layer":1},{"info":"⋰*⋻0⩌⋺⋰*⋻-4416=⋰*⋻4316","layer":0}]}
{"id":366,"expression_no_base_symbol":"(((⫟$1260$)⩢≌)≁(($1331$⩚⊴⇥$3181$)↳∿⪆($1603$⇟⨁⪰)))≎⪠((⇺⋃(⋗⩴⪓$1046$))⊍⩺⋍(⊈$1566$)⋻⩜⩜$2099$⊕∕$1070$)","expression":"(((⫟⋰*⋻A46)⩢≌)≁((⋰*⋻1000⩚⊴⇥⋰*⋻2432)↳∿⪆(⋰*⋻1228⇟⨁⪰)))≎⪠((⇺⋃(⋗⩴⪓⋰*⋻871))⊍⩺⋍(⊈⋰*⋻11A4)⋻⩜⩜⋰*⋻1639⊕∕⋰*⋻893)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":79488,"operation_count":13,"complexity_ratio":6114.461538461538,"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":1260,"base":11}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1331,"base":11},"right_expr":{"type":"numeric_atoms","value":3181,"base":11}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1603,"base":11}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1046,"base":11}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1566,"base":11}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2099,"base":11},"right_expr":{"type":"numeric_atoms","value":1070,"base":11}}}}},"used_operators":["aNhz54LH3e","8N2wDY1A35","D617RFjZIq","z4E1FaHLuy","Cw4SuJJGHO","NTOWxs364D","BX1lVwlMe0","OXDGMFPWZM","E5v5B3UAjG","nOKPl9n5zu","oDCm7WA9JY","RHru8klgy8","9cloC0Ngie"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","hTbEZDJLEm","o20kRiQErp","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2DDjHMKMc0","xUOZtlo3hN","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","12rbrZMWeM","xUOZtlo3hN","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"⋰*⋻13770","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-2873","layer":3},{"info":"compute unary expreesion, input=-2873, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"number node, value=1331","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=3181, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4633","layer":3},{"info":"number node, value=1603","layer":4},{"info":"compute unary expreesion, input=1603, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1777","layer":3},{"info":"compute binary expreesion, left_input=-4633, right_input=-1777, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-133","layer":3},{"info":"compute unary expreesion, input=-133, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=1713","layer":2},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1740","layer":3},{"info":"number node, value=2099","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=2099, right_input=1070, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2099","layer":3},{"info":"compute binary expreesion, left_input=-1740, right_input=2099, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8884","layer":2},{"info":"compute binary expreesion, left_input=1713, right_input=8884, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":11,"result_base":11,"text":"(((⫟⋰*⋻A46)⩢≌)≁((⋰*⋻1000⩚⊴⇥⋰*⋻2432)↳∿⪆(⋰*⋻1228⇟⨁⪰)))≎⪠((⇺⋃(⋗⩴⪓⋰*⋻871))⊍⩺⋍(⊈⋰*⋻11A4)⋻⩜⩜⋰*⋻1639⊕∕⋰*⋻893)=⋰*⋻13770","reverse_text":"⋰*⋻13770=(((⫟⋰*⋻A46)⩢≌)≁((⋰*⋻1000⩚⊴⇥⋰*⋻2432)↳∿⪆(⋰*⋻1228⇟⨁⪰)))≎⪠((⇺⋃(⋗⩴⪓⋰*⋻871))⊍⩺⋍(⊈⋰*⋻11A4)⋻⩜⩜⋰*⋻1639⊕∕⋰*⋻893)","cot":[{"info":"⫟⋰*⋻A46=⋰*⋻-2182","layer":3},{"info":"⋰*⋻-2182⩢≌=⋰*⋻A3","layer":2},{"info":"⋰*⋻1000⩚⊴⇥⋰*⋻2432=⋰*⋻-3532","layer":3},{"info":"⋰*⋻1228⇟⨁⪰=⋰*⋻-1376","layer":3},{"info":"⋰*⋻-3532↳∿⪆⋰*⋻-1376=NaN","layer":2},{"info":"⋰*⋻A3≁NaN=NaN","layer":1},{"info":"⋗⩴⪓⋰*⋻871=⋰*⋻-111","layer":3},{"info":"⇺⋃⋰*⋻-111=⋰*⋻1318","layer":2},{"info":"⊈⋰*⋻11A4=⋰*⋻-1342","layer":3},{"info":"⋰*⋻1639⊕∕⋰*⋻893=⋰*⋻1639","layer":3},{"info":"⋰*⋻-1342⋻⩜⩜⋰*⋻1639=⋰*⋻6747","layer":2},{"info":"⋰*⋻1318⊍⩺⋍⋰*⋻6747=NaN","layer":1},{"info":"NaN≎⪠NaN=⋰*⋻13770","layer":0}]}
{"id":367,"expression_no_base_symbol":"(((≔$4493$)⫽⇹≛)∐⫣)≃($5448$≎⊠⪸$2652$∙⊟($2677$⨸⪁$2329$))⫉⨲⊜(⋂($3190$↼⊘⨖$1826$))","expression":"(((≔⋰*⋻3415)⫽⇹≛)∐⫣)≃(⋰*⋻4103≎⊠⪸⋰*⋻1AA1∙⊟(⋰*⋻2014⨸⪁⋰*⋻1828))⫉⨲⊜(⋂(⋰*⋻2440↼⊘⨖⋰*⋻1410))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":463,"operation_count":10,"complexity_ratio":46.3,"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":4493,"base":11}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5448,"base":11},"right_expr":{"type":"numeric_atoms","value":2652,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2677,"base":11},"right_expr":{"type":"numeric_atoms","value":2329,"base":11}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3190,"base":11},"right_expr":{"type":"numeric_atoms","value":1826,"base":11}}}}},"used_operators":["YbVcJGFEVW","4CyGpkTkEk","NNaDxxp6OQ","8FLs4eVsLt","WhqkvtTD3t","SxTAKzQCrw","bJkvcejdHO","g55IO6H4Gj","BUOGQAYlQx","bPywburJMS"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","eewbuw0ToL","zVYPLywUTj","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⋰*⋻11A905","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4493","layer":4},{"info":"compute unary expreesion, input=4493, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-124510","layer":3},{"info":"compute unary expreesion, input=-124510, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"compute unary expreesion, input=272, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":1},{"info":"number node, value=5448","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=5448, right_input=2652, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1410559","layer":3},{"info":"number node, value=2677","layer":4},{"info":"number node, value=2329","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=2329, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10012","layer":3},{"info":"compute binary expreesion, left_input=1410559, right_input=10012, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=18347113","layer":2},{"info":"number node, value=3190","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=3190, right_input=1826, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3430","layer":3},{"info":"compute unary expreesion, input=3430, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-47424","layer":2},{"info":"compute binary expreesion, left_input=18347113, right_input=-47424, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-47534","layer":1},{"info":"compute binary expreesion, left_input=551, right_input=-47534, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=190096","layer":0}],"base":11,"result_base":11,"text":"(((≔⋰*⋻3415)⫽⇹≛)∐⫣)≃(⋰*⋻4103≎⊠⪸⋰*⋻1AA1∙⊟(⋰*⋻2014⨸⪁⋰*⋻1828))⫉⨲⊜(⋂(⋰*⋻2440↼⊘⨖⋰*⋻1410))=⋰*⋻11A905","reverse_text":"⋰*⋻11A905=(((≔⋰*⋻3415)⫽⇹≛)∐⫣)≃(⋰*⋻4103≎⊠⪸⋰*⋻1AA1∙⊟(⋰*⋻2014⨸⪁⋰*⋻1828))⫉⨲⊜(⋂(⋰*⋻2440↼⊘⨖⋰*⋻1410))","cot":[{"info":"≔⋰*⋻3415=⋰*⋻-85601","layer":3},{"info":"⋰*⋻-85601⫽⇹≛=⋰*⋻228","layer":2},{"info":"⋰*⋻228∐⫣=⋰*⋻461","layer":1},{"info":"⋰*⋻4103≎⊠⪸⋰*⋻1AA1=⋰*⋻883857","layer":3},{"info":"⋰*⋻2014⨸⪁⋰*⋻1828=⋰*⋻7582","layer":3},{"info":"⋰*⋻883857∙⊟⋰*⋻7582=⋰*⋻A3A1504","layer":2},{"info":"⋰*⋻2440↼⊘⨖⋰*⋻1410=⋰*⋻2639","layer":3},{"info":"⋂⋰*⋻2639=⋰*⋻-326A3","layer":2},{"info":"⋰*⋻A3A1504⫉⨲⊜⋰*⋻-326A3=⋰*⋻-32793","layer":1},{"info":"⋰*⋻461≃⋰*⋻-32793=⋰*⋻11A905","layer":0}]}
{"id":368,"expression_no_base_symbol":"≉(⫎≠⋺((⨑⩽⪐$1098$)⊲⩕⊾($2628$⇌⫙⪟$4867$)))","expression":"≉(⫎≠⋺((⨑⩽⪐⋰*⋻909)⊲⩕⊾(⋰*⋻1A7A⇌⫙⪟⋰*⋻3725)))","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":64,"operation_count":5,"complexity_ratio":12.8,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1098,"base":11}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2628,"base":11},"right_expr":{"type":"numeric_atoms","value":4867,"base":11}}}}},"used_operators":["e1ybzncUwg","LYeZOJ0nQG","DmTXOeWf9t","AF7qkfDlqP","AFVx7xoS7T"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⋰*⋻443","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-825","layer":3},{"info":"number node, value=2628","layer":4},{"info":"number node, value=4867","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=4867, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-825, right_input=113, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=1352","layer":2},{"info":"compute unary expreesion, input=1352, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":0}],"base":11,"result_base":11,"text":"≉(⫎≠⋺((⨑⩽⪐⋰*⋻909)⊲⩕⊾(⋰*⋻1A7A⇌⫙⪟⋰*⋻3725)))=⋰*⋻443","reverse_text":"⋰*⋻443=≉(⫎≠⋺((⨑⩽⪐⋰*⋻909)⊲⩕⊾(⋰*⋻1A7A⇌⫙⪟⋰*⋻3725)))","cot":[{"info":"⨑⩽⪐⋰*⋻909=⋰*⋻-690","layer":3},{"info":"⋰*⋻1A7A⇌⫙⪟⋰*⋻3725=⋰*⋻A3","layer":3},{"info":"⋰*⋻-690⊲⩕⊾⋰*⋻A3=⋰*⋻101A","layer":2},{"info":"⫎≠⋺⋰*⋻101A=⋰*⋻0","layer":1},{"info":"≉⋰*⋻0=⋰*⋻443","layer":0}]}
{"id":369,"expression_no_base_symbol":"(↘($5194$⪡$1854$))*(⊊≼∋(⊤⊝$1270$))⪨≂($1416$⨼⩣$8111$⊴$4001$⨸$1018$)∘$2718$⪔⊥$1372$⫘$6634$⋕⪉⪜$5453$","expression":"(↘(⋰*⋻39A2⪡⋰*⋻1436))*(⊊≼∋(⊤⊝⋰*⋻A55))⪨≂(⋰*⋻1078⨼⩣⋰*⋻6104⊴⋰*⋻3008⨸⋰*⋻846)∘⋰*⋻2051⪔⊥⋰*⋻1038⫘⋰*⋻4A91⋕⪉⪜⋰*⋻4108","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22086,"operation_count":13,"complexity_ratio":1698.923076923077,"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":5194,"base":11},"right_expr":{"type":"numeric_atoms","value":1854,"base":11}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1270,"base":11}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1416,"base":11},"right_expr":{"type":"numeric_atoms","value":8111,"base":11}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4001,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2718,"base":11},"right_expr":{"type":"numeric_atoms","value":1372,"base":11}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6634,"base":11},"right_expr":{"type":"numeric_atoms","value":5453,"base":11}}}}},"used_operators":["sdazOOVcIp","9HNa5Wba9A","LdNpr8hQHL","oraRL2iQuh","FWz7pXsQhA","rXAclfmB4M","Z5m6OM72h2","Nsiff2A1zJ","JxwMv5le6e","KmoU8R5UQR","48vC8HMD2b","HJ9erzHUuu","z6LnFrNh4i"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","uFcxV4UQCh","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","jCPkEVoL5K","sdazOOVcIp","eH2TOUuTDT","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5194","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=5194, right_input=1854, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=107","layer":2},{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1242","layer":3},{"info":"compute unary expreesion, input=1242, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=107, right_input=-447, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-47829","layer":1},{"info":"number node, value=1416","layer":4},{"info":"number node, value=8111","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=8111, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=4001","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=4001, right_input=1018, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8002","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8002, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2718","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=2718, right_input=1372, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=7929","layer":3},{"info":"number node, value=6634","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=6634, right_input=5453, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=7929, right_input=2802, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=9328909","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9328909, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-47829, 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":11,"result_base":11,"text":"(↘(⋰*⋻39A2⪡⋰*⋻1436))*(⊊≼∋(⊤⊝⋰*⋻A55))⪨≂(⋰*⋻1078⨼⩣⋰*⋻6104⊴⋰*⋻3008⨸⋰*⋻846)∘⋰*⋻2051⪔⊥⋰*⋻1038⫘⋰*⋻4A91⋕⪉⪜⋰*⋻4108=NaN","reverse_text":"NaN=(↘(⋰*⋻39A2⪡⋰*⋻1436))*(⊊≼∋(⊤⊝⋰*⋻A55))⪨≂(⋰*⋻1078⨼⩣⋰*⋻6104⊴⋰*⋻3008⨸⋰*⋻846)∘⋰*⋻2051⪔⊥⋰*⋻1038⫘⋰*⋻4A91⋕⪉⪜⋰*⋻4108","cot":[{"info":"⋰*⋻39A2⪡⋰*⋻1436=⋰*⋻98","layer":3},{"info":"↘⋰*⋻98=⋰*⋻98","layer":2},{"info":"⊤⊝⋰*⋻A55=⋰*⋻A2A","layer":3},{"info":"⊊≼∋⋰*⋻A2A=⋰*⋻-377","layer":2},{"info":"⋰*⋻98*⋰*⋻-377=⋰*⋻-32A31","layer":1},{"info":"⋰*⋻1078⨼⩣⋰*⋻6104=NaN","layer":3},{"info":"⋰*⋻3008⨸⋰*⋻846=⋰*⋻6015","layer":3},{"info":"NaN⊴⋰*⋻6015=NaN","layer":2},{"info":"⋰*⋻2051⪔⊥⋰*⋻1038=⋰*⋻5A59","layer":3},{"info":"⋰*⋻4A91⋕⪉⪜⋰*⋻4108=⋰*⋻2118","layer":3},{"info":"⋰*⋻5A59⫘⋰*⋻2118=⋰*⋻52A1A47","layer":2},{"info":"NaN∘⋰*⋻52A1A47=NaN","layer":1},{"info":"⋰*⋻-32A31⪨≂NaN=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"(($1484$⊢$5718$)⪃⊛⇣($2495$⫣⪄⊒$1033$)⫌⩉⩟(∨∊⋏($3615$≥⨤⩑$2019$)))≁((⩏⊷≩$1088$≥⨤⩑$2360$)∴≳≥)","expression":"((⋰*⋻112A⊢⋰*⋻4329)⪃⊛⇣(⋰*⋻1969⫣⪄⊒⋰*⋻85A)⫌⩉⩟(∨∊⋏(⋰*⋻2797≥⨤⩑⋰*⋻1576)))≁((⩏⊷≩⋰*⋻8AA≥⨤⩑⋰*⋻1856)∴≳≥)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":83766,"operation_count":10,"complexity_ratio":8376.6,"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":1484,"base":11},"right_expr":{"type":"numeric_atoms","value":5718,"base":11}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2495,"base":11},"right_expr":{"type":"numeric_atoms","value":1033,"base":11}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3615,"base":11},"right_expr":{"type":"numeric_atoms","value":2019,"base":11}}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1088,"base":11},"right_expr":{"type":"numeric_atoms","value":2360,"base":11}}}}},"used_operators":["8N2wDY1A35","XIIwhv8d0m","rrgAzCduG9","5twsqlHp2o","RabNbG55vr","R5aXW34M0v","gJLn6v0xnP","a3N2hFLK0J","uOZ1tnYMDE"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","23Mk6UjR3U","12rbrZMWeM"],"result":"⋰*⋻12341A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":4},{"info":"number node, value=5718","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=5718, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3212","layer":3},{"info":"number node, value=2495","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=2495, right_input=1033, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1720","layer":3},{"info":"compute binary expreesion, left_input=-3212, right_input=-1720, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=3615","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=3615, right_input=2019, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=16415","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=16415, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1088","layer":4},{"info":"number node, value=2360","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=2360, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2167","layer":2},{"info":"compute unary expreesion, input=2167, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=8668","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=8668, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=194831","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻112A⊢⋰*⋻4329)⪃⊛⇣(⋰*⋻1969⫣⪄⊒⋰*⋻85A)⫌⩉⩟(∨∊⋏(⋰*⋻2797≥⨤⩑⋰*⋻1576)))≁((⩏⊷≩⋰*⋻8AA≥⨤⩑⋰*⋻1856)∴≳≥)=⋰*⋻12341A","reverse_text":"⋰*⋻12341A=((⋰*⋻112A⊢⋰*⋻4329)⪃⊛⇣(⋰*⋻1969⫣⪄⊒⋰*⋻85A)⫌⩉⩟(∨∊⋏(⋰*⋻2797≥⨤⩑⋰*⋻1576)))≁((⩏⊷≩⋰*⋻8AA≥⨤⩑⋰*⋻1856)∴≳≥)","cot":[{"info":"⋰*⋻112A⊢⋰*⋻4329=⋰*⋻-2460","layer":3},{"info":"⋰*⋻1969⫣⪄⊒⋰*⋻85A=⋰*⋻-1324","layer":3},{"info":"⋰*⋻-2460⪃⊛⇣⋰*⋻-1324=⋰*⋻A22","layer":2},{"info":"⋰*⋻2797≥⨤⩑⋰*⋻1576=⋰*⋻A22","layer":3},{"info":"∨∊⋏⋰*⋻A22=⋰*⋻11373","layer":2},{"info":"⋰*⋻A22⫌⩉⩟⋰*⋻11373=⋰*⋻-46","layer":1},{"info":"⋰*⋻8AA≥⨤⩑⋰*⋻1856=⋰*⋻A22","layer":3},{"info":"⩏⊷≩⋰*⋻A22=⋰*⋻16A0","layer":2},{"info":"⋰*⋻16A0∴≳≥=⋰*⋻6570","layer":1},{"info":"⋰*⋻-46≁⋰*⋻6570=⋰*⋻12341A","layer":0}]}
{"id":371,"expression_no_base_symbol":"(($2027$⪮%⊝$1409$)⩦($2283$⊜)+⇶⊼($1407$⊀⩕)⪕$4196$⪍↜⋙$2856$)⪪((⨣⨃⇪($2034$⇴∐$6033$))⫡⨏$4523$⊋$4159$⫰⋱(↯⪼$2495$))","expression":"((⋰*⋻1583⪮%⊝⋰*⋻1071)⩦(⋰*⋻1796⊜)+⇶⊼(⋰*⋻106A⊀⩕)⪕⋰*⋻3175⪍↜⋙⋰*⋻2167)⪪((⨣⨃⇪(⋰*⋻158A⇴∐⋰*⋻4595))⫡⨏⋰*⋻3442⊋⋰*⋻3141⫰⋱(↯⪼⋰*⋻1969))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7288,"operation_count":14,"complexity_ratio":520.5714285714286,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2027,"base":11},"right_expr":{"type":"numeric_atoms","value":1409,"base":11}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2283,"base":11}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1407,"base":11}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4196,"base":11},"right_expr":{"type":"numeric_atoms","value":2856,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2034,"base":11},"right_expr":{"type":"numeric_atoms","value":6033,"base":11}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4523,"base":11},"right_expr":{"type":"numeric_atoms","value":4159,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2495,"base":11}}}}},"used_operators":["xD69zh8xqp","TpPTUOHfaN","0kmYd0q39Y","IWmyXbctLI","Eev2Q7dYIw","umQnsF7QlU","r0FS3hW4cC","L05ObWFQCd","QMFrweE19q","AcOhelriW5","HnzytWxmAO","6o9Blt3TJ6","W4tP9CfskL","8jW3W4yZS5"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","AHs5Up7iyr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rGHVDoGpnC","nhYeJWJD5X","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=1409, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4370","layer":3},{"info":"number node, value=2283","layer":4},{"info":"compute unary expreesion, input=2283, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-7396","layer":3},{"info":"compute binary expreesion, left_input=4370, right_input=-7396, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8740","layer":2},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=4196","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=4196, right_input=2856, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=2680","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2680, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=8740, right_input=-55, 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=2034","layer":4},{"info":"number node, value=6033","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=6033, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=4523","layer":4},{"info":"number node, value=4159","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=4159, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=13149084","layer":3},{"info":"number node, value=2495","layer":4},{"info":"compute unary expreesion, input=2495, 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=13149084, right_input=-21, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-13149051","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=-13149051, 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=-26290294","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-26290294, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1583⪮%⊝⋰*⋻1071)⩦(⋰*⋻1796⊜)+⇶⊼(⋰*⋻106A⊀⩕)⪕⋰*⋻3175⪍↜⋙⋰*⋻2167)⪪((⨣⨃⇪(⋰*⋻158A⇴∐⋰*⋻4595))⫡⨏⋰*⋻3442⊋⋰*⋻3141⫰⋱(↯⪼⋰*⋻1969))=NaN","reverse_text":"NaN=((⋰*⋻1583⪮%⊝⋰*⋻1071)⩦(⋰*⋻1796⊜)+⇶⊼(⋰*⋻106A⊀⩕)⪕⋰*⋻3175⪍↜⋙⋰*⋻2167)⪪((⨣⨃⇪(⋰*⋻158A⇴∐⋰*⋻4595))⫡⨏⋰*⋻3442⊋⋰*⋻3141⫰⋱(↯⪼⋰*⋻1969))","cot":[{"info":"⋰*⋻1583⪮%⊝⋰*⋻1071=⋰*⋻3313","layer":3},{"info":"⋰*⋻1796⊜=⋰*⋻-5614","layer":3},{"info":"⋰*⋻3313⩦⋰*⋻-5614=⋰*⋻6626","layer":2},{"info":"⋰*⋻106A⊀⩕=⋰*⋻0","layer":3},{"info":"⋰*⋻3175⪍↜⋙⋰*⋻2167=⋰*⋻2017","layer":3},{"info":"⋰*⋻0⪕⋰*⋻2017=⋰*⋻-50","layer":2},{"info":"⋰*⋻6626+⇶⊼⋰*⋻-50=NaN","layer":1},{"info":"⋰*⋻158A⇴∐⋰*⋻4595=NaN","layer":3},{"info":"⨣⨃⇪NaN=⋰*⋻1068","layer":2},{"info":"⋰*⋻3442⊋⋰*⋻3141=⋰*⋻7471113","layer":3},{"info":"↯⪼⋰*⋻1969=⋰*⋻-1A","layer":3},{"info":"⋰*⋻7471113⫰⋱⋰*⋻-1A=⋰*⋻-7471093","layer":2},{"info":"⋰*⋻1068⫡⨏⋰*⋻-7471093=⋰*⋻-13927318","layer":1},{"info":"NaN⪪⋰*⋻-13927318=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"(($5165$∕⩚$2644$)⇮⋭(≋$2788$))↞⋁($2481$⊉↱≁$2550$≹⇙⪍$5257$≁↽≥$4016$)⇡","expression":"((⋰*⋻3976∕⩚⋰*⋻1A94)⇮⋭(≋⋰*⋻2105))↞⋁(⋰*⋻1956⊉↱≁⋰*⋻1A09≹⇙⪍⋰*⋻3A4A≁↽≥⋰*⋻3021)⇡","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5522,"operation_count":8,"complexity_ratio":690.25,"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":5165,"base":11},"right_expr":{"type":"numeric_atoms","value":2644,"base":11}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2788,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2481,"base":11},"right_expr":{"type":"numeric_atoms","value":2550,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5257,"base":11},"right_expr":{"type":"numeric_atoms","value":4016,"base":11}}}}},"used_operators":["UqFzSgLMvQ","RqrPlJkxDo","vkpjKywKVM","z9ffQ9n5Zr","61wBmkZwlr","AHs5Up7iyr","w2P8NbNXyL","ncHt1X6cMc"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","7j4O788W3g","dWAJyo7jo9","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5165","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=5165, right_input=2644, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5168","layer":3},{"info":"number node, value=2788","layer":4},{"info":"compute unary expreesion, input=2788, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2788","layer":3},{"info":"compute binary expreesion, left_input=-5168, right_input=2788, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=2481","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=2550, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=9458","layer":3},{"info":"number node, value=5257","layer":4},{"info":"number node, value=4016","layer":4},{"info":"compute binary expreesion, left_input=5257, right_input=4016, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=70153","layer":3},{"info":"compute binary expreesion, left_input=9458, right_input=70153, 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=67, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3976∕⩚⋰*⋻1A94)⇮⋭(≋⋰*⋻2105))↞⋁(⋰*⋻1956⊉↱≁⋰*⋻1A09≹⇙⪍⋰*⋻3A4A≁↽≥⋰*⋻3021)⇡=NaN","reverse_text":"NaN=((⋰*⋻3976∕⩚⋰*⋻1A94)⇮⋭(≋⋰*⋻2105))↞⋁(⋰*⋻1956⊉↱≁⋰*⋻1A09≹⇙⪍⋰*⋻3A4A≁↽≥⋰*⋻3021)⇡","cot":[{"info":"⋰*⋻3976∕⩚⋰*⋻1A94=⋰*⋻-3979","layer":3},{"info":"≋⋰*⋻2105=⋰*⋻2105","layer":3},{"info":"⋰*⋻-3979⇮⋭⋰*⋻2105=⋰*⋻61","layer":2},{"info":"⋰*⋻1956⊉↱≁⋰*⋻1A09=⋰*⋻7119","layer":3},{"info":"⋰*⋻3A4A≁↽≥⋰*⋻3021=⋰*⋻48786","layer":3},{"info":"⋰*⋻7119≹⇙⪍⋰*⋻48786=NaN","layer":2},{"info":"⋰*⋻61↞⋁NaN=NaN","layer":1},{"info":"NaN⇡=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"(($6858$⪒$3926$)⇌⫙⪟$4548$⩦$4532$↺($1517$⪎↠$2183$≋⫹))⪒⊣⊆(⊽(⊁⨺$1128$))⪎↠((∨∊⋏$2013$)⫉⨲⊜($1901$⪚⩙≫))","expression":"((⋰*⋻5175⪒⋰*⋻2A4A)⇌⫙⪟⋰*⋻3465⩦⋰*⋻3450↺(⋰*⋻115A⪎↠⋰*⋻1705≋⫹))⪒⊣⊆(⊽(⊁⨺⋰*⋻936))⪎↠((∨∊⋏⋰*⋻1570)⫉⨲⊜(⋰*⋻1479⪚⩙≫))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":198,"operation_count":13,"complexity_ratio":15.23076923076923,"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":6858,"base":11},"right_expr":{"type":"numeric_atoms","value":3926,"base":11}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4548,"base":11},"right_expr":{"type":"numeric_atoms","value":4532,"base":11}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1517,"base":11},"right_expr":{"type":"numeric_atoms","value":2183,"base":11}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1128,"base":11}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2013,"base":11}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":1901,"base":11}}}}},"used_operators":["eRqsBgTDFp","7j4O788W3g","AFVx7xoS7T","f6k1SAg4EE","0kmYd0q39Y","N41Kp7NANJ","3tVxb0NHM4","QxG7OkqoLX","PxiHyQbrIp","WhqkvtTD3t","R5aXW34M0v","4n53wtyJvv"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"⋰*⋻886","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6858","layer":4},{"info":"number node, value=3926","layer":4},{"info":"compute binary expreesion, left_input=6858, right_input=3926, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10784","layer":3},{"info":"number node, value=4548","layer":4},{"info":"number node, value=4532","layer":4},{"info":"compute binary expreesion, left_input=4548, right_input=4532, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=9096","layer":3},{"info":"compute binary expreesion, left_input=-10784, right_input=9096, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=1517","layer":4},{"info":"number node, value=2183","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=2183, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-320, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-320","layer":1},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1842","layer":2},{"info":"number node, value=2013","layer":4},{"info":"compute unary expreesion, input=2013, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=35111","layer":3},{"info":"number node, value=1901","layer":4},{"info":"compute unary expreesion, input=1901, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=35111, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1842, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-320, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=1062","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5175⪒⋰*⋻2A4A)⇌⫙⪟⋰*⋻3465⩦⋰*⋻3450↺(⋰*⋻115A⪎↠⋰*⋻1705≋⫹))⪒⊣⊆(⊽(⊁⨺⋰*⋻936))⪎↠((∨∊⋏⋰*⋻1570)⫉⨲⊜(⋰*⋻1479⪚⩙≫))=⋰*⋻886","reverse_text":"⋰*⋻886=((⋰*⋻5175⪒⋰*⋻2A4A)⇌⫙⪟⋰*⋻3465⩦⋰*⋻3450↺(⋰*⋻115A⪎↠⋰*⋻1705≋⫹))⪒⊣⊆(⊽(⊁⨺⋰*⋻936))⪎↠((∨∊⋏⋰*⋻1570)⫉⨲⊜(⋰*⋻1479⪚⩙≫))","cot":[{"info":"⋰*⋻5175⪒⋰*⋻2A4A=⋰*⋻-8114","layer":3},{"info":"⋰*⋻3465⩦⋰*⋻3450=⋰*⋻691A","layer":3},{"info":"⋰*⋻-8114⇌⫙⪟⋰*⋻691A=⋰*⋻A3","layer":2},{"info":"⋰*⋻115A⪎↠⋰*⋻1705=⋰*⋻136","layer":3},{"info":"⋰*⋻136≋⫹=⋰*⋻-271","layer":2},{"info":"⋰*⋻A3↺⋰*⋻-271=⋰*⋻-271","layer":1},{"info":"⊁⨺⋰*⋻936=⋰*⋻136","layer":3},{"info":"⊽⋰*⋻136=⋰*⋻1425","layer":2},{"info":"∨∊⋏⋰*⋻1570=⋰*⋻2441A","layer":3},{"info":"⋰*⋻1479⪚⩙≫=NaN","layer":3},{"info":"⋰*⋻2441A⫉⨲⊜NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻1425⪎↠⋰*⋻0=⋰*⋻136","layer":1},{"info":"⋰*⋻-271⪒⊣⊆⋰*⋻136=⋰*⋻886","layer":0}]}
{"id":374,"expression_no_base_symbol":"(⊀$3760$⪝$1811$)≬⇓($4170$⋐⇩⊬)⋛($2265$∠⫱$1777$)⪹","expression":"(⊀⋰*⋻2909⪝⋰*⋻13A7)≬⇓(⋰*⋻3151⋐⇩⊬)⋛(⋰*⋻177A∠⫱⋰*⋻1376)⪹","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":731,"operation_count":7,"complexity_ratio":104.42857142857143,"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":3760,"base":11},"right_expr":{"type":"numeric_atoms","value":1811,"base":11}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":4170,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2265,"base":11},"right_expr":{"type":"numeric_atoms","value":1777,"base":11}}}}},"used_operators":["B3sABdIn96","jWTQ2TZYIH","oPMjh9089D","wicAB68Tmb","YbUVn0Rbpy","JuuLT1NoCs","QvoQhV0rrE"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋰*⋻-156637","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3760","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=3760, right_input=1811, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-8195","layer":3},{"info":"compute unary expreesion, input=-8195, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=123708","layer":2},{"info":"number node, value=4170","layer":4},{"info":"compute unary expreesion, input=4170, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=4170","layer":3},{"info":"number node, value=2265","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=1777, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=4170, right_input=1234, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-94662","layer":2},{"info":"compute binary expreesion, left_input=123708, right_input=-94662, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-124281","layer":1},{"info":"compute unary expreesion, input=-124281, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=-243008","layer":0}],"base":11,"result_base":11,"text":"(⊀⋰*⋻2909⪝⋰*⋻13A7)≬⇓(⋰*⋻3151⋐⇩⊬)⋛(⋰*⋻177A∠⫱⋰*⋻1376)⪹=⋰*⋻-156637","reverse_text":"⋰*⋻-156637=(⊀⋰*⋻2909⪝⋰*⋻13A7)≬⇓(⋰*⋻3151⋐⇩⊬)⋛(⋰*⋻177A∠⫱⋰*⋻1376)⪹","cot":[{"info":"⋰*⋻2909⪝⋰*⋻13A7=⋰*⋻-6180","layer":3},{"info":"⊀⋰*⋻-6180=⋰*⋻84A42","layer":2},{"info":"⋰*⋻3151⋐⇩⊬=⋰*⋻3151","layer":3},{"info":"⋰*⋻177A∠⫱⋰*⋻1376=⋰*⋻A22","layer":3},{"info":"⋰*⋻3151⋛⋰*⋻A22=⋰*⋻-65137","layer":2},{"info":"⋰*⋻84A42≬⇓⋰*⋻-65137=⋰*⋻-85413","layer":1},{"info":"⋰*⋻-85413⪹=⋰*⋻-156637","layer":0}]}
{"id":375,"expression_no_base_symbol":"(∟⋨($6903$⪔⊥$3770$⋝⋈⪟($2638$⨑≵⋬$7280$)))⇩","expression":"(∟⋨(⋰*⋻5206⪔⊥⋰*⋻2918⋝⋈⪟(⋰*⋻1A89⨑≵⋬⋰*⋻5519)))⇩","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":19914,"operation_count":5,"complexity_ratio":3982.8,"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":6903,"base":11},"right_expr":{"type":"numeric_atoms","value":3770,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2638,"base":11},"right_expr":{"type":"numeric_atoms","value":7280,"base":11}}}}},"used_operators":["vRio1gEz1j","ctOc4cKSDt","2DDjHMKMc0","HJ9erzHUuu","XnXgA4xnOs"],"dependent_operators":["W4YGzv6Whe","eLAdDNolq6","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋰*⋻-13552","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6903","layer":4},{"info":"number node, value=3770","layer":4},{"info":"compute binary expreesion, left_input=6903, right_input=3770, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=19873","layer":3},{"info":"number node, value=2638","layer":4},{"info":"number node, value=7280","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=7280, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-36391","layer":3},{"info":"compute binary expreesion, left_input=19873, right_input=-36391, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=19873","layer":2},{"info":"compute unary expreesion, input=19873, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-19389","layer":1},{"info":"compute unary expreesion, input=-19389, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-19296","layer":0}],"base":11,"result_base":11,"text":"(∟⋨(⋰*⋻5206⪔⊥⋰*⋻2918⋝⋈⪟(⋰*⋻1A89⨑≵⋬⋰*⋻5519)))⇩=⋰*⋻-13552","reverse_text":"⋰*⋻-13552=(∟⋨(⋰*⋻5206⪔⊥⋰*⋻2918⋝⋈⪟(⋰*⋻1A89⨑≵⋬⋰*⋻5519)))⇩","cot":[{"info":"⋰*⋻5206⪔⊥⋰*⋻2918=⋰*⋻13A27","layer":3},{"info":"⋰*⋻1A89⨑≵⋬⋰*⋻5519=⋰*⋻-25383","layer":3},{"info":"⋰*⋻13A27⋝⋈⪟⋰*⋻-25383=⋰*⋻13A27","layer":2},{"info":"∟⋨⋰*⋻13A27=⋰*⋻-13627","layer":1},{"info":"⋰*⋻-13627⇩=⋰*⋻-13552","layer":0}]}
{"id":376,"expression_no_base_symbol":"(∂($4739$⨉)∊∟⩊($2044$⪒$2199$))↺(($1022$≦≮≮)⨻⩈⩔(≅≯⇸$5635$))⨚⇆(($2095$⨑≵⋬$8700$)⇮⋭($5802$⨸⪁$4679$))","expression":"(∂(⋰*⋻3619⨉)∊∟⩊(⋰*⋻1599⪒⋰*⋻171A))↺((⋰*⋻84A≦≮≮)⨻⩈⩔(≅≯⇸⋰*⋻4263))⨚⇆((⋰*⋻1635⨑≵⋬⋰*⋻659A)⇮⋭(⋰*⋻43A5⨸⪁⋰*⋻3574))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6590,"operation_count":12,"complexity_ratio":549.1666666666666,"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":4739,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2044,"base":11},"right_expr":{"type":"numeric_atoms","value":2199,"base":11}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1022,"base":11}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":5635,"base":11}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2095,"base":11},"right_expr":{"type":"numeric_atoms","value":8700,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5802,"base":11},"right_expr":{"type":"numeric_atoms","value":4679,"base":11}}}}},"used_operators":["7j4O788W3g","Uaa54Peajs","ddLRYrp01A","aMUSaJuDRU","f6k1SAg4EE","lwHaAYXP2r","nEsXyWgiOK","D4vGDi5EA2","apS25hmuAe","vkpjKywKVM","XnXgA4xnOs","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4739","layer":4},{"info":"compute unary expreesion, input=4739, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=11806","layer":3},{"info":"number node, value=2044","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=2199, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4243","layer":3},{"info":"compute binary expreesion, left_input=11806, right_input=-4243, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-4243","layer":2},{"info":"compute unary expreesion, input=-4243, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=3979","layer":1},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3066","layer":3},{"info":"number node, value=5635","layer":4},{"info":"compute unary expreesion, input=5635, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=30217","layer":3},{"info":"compute binary expreesion, left_input=-3066, right_input=30217, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=2095","layer":4},{"info":"number node, value=8700","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=8700, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-49046","layer":3},{"info":"number node, value=5802","layer":4},{"info":"number node, value=4679","layer":4},{"info":"compute binary expreesion, left_input=5802, right_input=4679, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20962","layer":3},{"info":"compute binary expreesion, left_input=-49046, right_input=20962, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=67, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":0}],"base":11,"result_base":11,"text":"(∂(⋰*⋻3619⨉)∊∟⩊(⋰*⋻1599⪒⋰*⋻171A))↺((⋰*⋻84A≦≮≮)⨻⩈⩔(≅≯⇸⋰*⋻4263))⨚⇆((⋰*⋻1635⨑≵⋬⋰*⋻659A)⇮⋭(⋰*⋻43A5⨸⪁⋰*⋻3574))=NaN","reverse_text":"NaN=(∂(⋰*⋻3619⨉)∊∟⩊(⋰*⋻1599⪒⋰*⋻171A))↺((⋰*⋻84A≦≮≮)⨻⩈⩔(≅≯⇸⋰*⋻4263))⨚⇆((⋰*⋻1635⨑≵⋬⋰*⋻659A)⇮⋭(⋰*⋻43A5⨸⪁⋰*⋻3574))","cot":[{"info":"⋰*⋻3619⨉=⋰*⋻8963","layer":3},{"info":"⋰*⋻1599⪒⋰*⋻171A=⋰*⋻-3208","layer":3},{"info":"⋰*⋻8963∊∟⩊⋰*⋻-3208=⋰*⋻-3208","layer":2},{"info":"∂⋰*⋻-3208=⋰*⋻2A98","layer":1},{"info":"⋰*⋻84A≦≮≮=⋰*⋻-2338","layer":3},{"info":"≅≯⇸⋰*⋻4263=⋰*⋻20780","layer":3},{"info":"⋰*⋻-2338⨻⩈⩔⋰*⋻20780=⋰*⋻-149","layer":2},{"info":"⋰*⋻1635⨑≵⋬⋰*⋻659A=⋰*⋻-33938","layer":3},{"info":"⋰*⋻43A5⨸⪁⋰*⋻3574=⋰*⋻14827","layer":3},{"info":"⋰*⋻-33938⇮⋭⋰*⋻14827=⋰*⋻61","layer":2},{"info":"⋰*⋻-149⨚⇆⋰*⋻61=NaN","layer":1},{"info":"⋰*⋻2A98↺NaN=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"(($1249$⪔⊥$1297$)↤⩊($1761$+⇶⊼$8455$)≨((↥≼⋛$3335$)⩺⪪$1000$≠≀$2461$))↢($1889$≄⊠$6052$⨓$1332$≝⊿$6031$)⪟⇏(⩒∊($3776$⫃⨇$8440$))","expression":"((⋰*⋻A36⪔⊥⋰*⋻A7A)↤⩊(⋰*⋻1361+⇶⊼⋰*⋻6397)≨((↥≼⋛⋰*⋻2562)⩺⪪⋰*⋻82A≠≀⋰*⋻1938))↢(⋰*⋻1468≄⊠⋰*⋻4602⨓⋰*⋻1001≝⊿⋰*⋻4593)⪟⇏(⩒∊(⋰*⋻2923⫃⨇⋰*⋻6383))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":14451,"operation_count":14,"complexity_ratio":1032.2142857142858,"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":1249,"base":11},"right_expr":{"type":"numeric_atoms","value":1297,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1761,"base":11},"right_expr":{"type":"numeric_atoms","value":8455,"base":11}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":3335,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":2461,"base":11}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1889,"base":11},"right_expr":{"type":"numeric_atoms","value":6052,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1332,"base":11},"right_expr":{"type":"numeric_atoms","value":6031,"base":11}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3776,"base":11},"right_expr":{"type":"numeric_atoms","value":8440,"base":11}}}}},"used_operators":["WR6HLWljOP","0KMCeP1Jsh","13rbtpv6ld","HJ9erzHUuu","TpPTUOHfaN","uvdQJvN4PV","x5lMkHmzsq","IwW236VD4Y","GODebY97qR","3ViojmjbAp","vXNesLlMH1","OKKcZfAt5B","qazvmhNBbN","09Ly4LVMIf"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","12rbrZMWeM","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=1297, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2203","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=8455","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=8455, 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=2203, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=3335","layer":4},{"info":"compute unary expreesion, input=3335, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2461","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2461, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1694","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-1694, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1914, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"number node, value=1889","layer":4},{"info":"number node, value=6052","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=6052, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=101500","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=6031","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=6031, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-13927","layer":3},{"info":"compute binary expreesion, left_input=101500, right_input=-13927, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-13930","layer":2},{"info":"number node, value=3776","layer":4},{"info":"number node, value=8440","layer":4},{"info":"compute binary expreesion, left_input=3776, right_input=8440, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-33792","layer":3},{"info":"compute unary expreesion, input=-33792, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-102649","layer":2},{"info":"compute binary expreesion, left_input=-13930, right_input=-102649, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A36⪔⊥⋰*⋻A7A)↤⩊(⋰*⋻1361+⇶⊼⋰*⋻6397)≨((↥≼⋛⋰*⋻2562)⩺⪪⋰*⋻82A≠≀⋰*⋻1938))↢(⋰*⋻1468≄⊠⋰*⋻4602⨓⋰*⋻1001≝⊿⋰*⋻4593)⪟⇏(⩒∊(⋰*⋻2923⫃⨇⋰*⋻6383))=NaN","reverse_text":"NaN=((⋰*⋻A36⪔⊥⋰*⋻A7A)↤⩊(⋰*⋻1361+⇶⊼⋰*⋻6397)≨((↥≼⋛⋰*⋻2562)⩺⪪⋰*⋻82A≠≀⋰*⋻1938))↢(⋰*⋻1468≄⊠⋰*⋻4602⨓⋰*⋻1001≝⊿⋰*⋻4593)⪟⇏(⩒∊(⋰*⋻2923⫃⨇⋰*⋻6383))","cot":[{"info":"⋰*⋻A36⪔⊥⋰*⋻A7A=⋰*⋻1723","layer":3},{"info":"⋰*⋻1361+⇶⊼⋰*⋻6397=NaN","layer":3},{"info":"⋰*⋻1723↤⩊NaN=NaN","layer":2},{"info":"↥≼⋛⋰*⋻2562=⋰*⋻-A3","layer":3},{"info":"⋰*⋻82A≠≀⋰*⋻1938=⋰*⋻-1300","layer":3},{"info":"⋰*⋻-A3⩺⪪⋰*⋻-1300=⋰*⋻1490","layer":2},{"info":"NaN≨⋰*⋻1490=NaN","layer":1},{"info":"⋰*⋻1468≄⊠⋰*⋻4602=⋰*⋻6A293","layer":3},{"info":"⋰*⋻1001≝⊿⋰*⋻4593=⋰*⋻-A511","layer":3},{"info":"⋰*⋻6A293⨓⋰*⋻-A511=⋰*⋻-A514","layer":2},{"info":"⋰*⋻2923⫃⨇⋰*⋻6383=⋰*⋻-23430","layer":3},{"info":"⩒∊⋰*⋻-23430=⋰*⋻-70138","layer":2},{"info":"⋰*⋻-A514⪟⇏⋰*⋻-70138=⋰*⋻0","layer":1},{"info":"NaN↢⋰*⋻0=NaN","layer":0}]}
{"id":378,"expression_no_base_symbol":"((⊵⊁$2713$)⫒⫫(⨈⫕$6714$))⇍⊗(($3577$≄⊠$1263$)⨕⋳)⇌⫙⪟(⊆⋠(⋂$1349$))⊮⊟↴($4831$⋾⨃∁$4793$↫)","expression":"((⊵⊁⋰*⋻2047)⫒⫫(⨈⫕⋰*⋻5054))⇍⊗((⋰*⋻2762≄⊠⋰*⋻A49)⨕⋳)⇌⫙⪟(⊆⋠(⋂⋰*⋻1017))⊮⊟↴(⋰*⋻36A2⋾⨃∁⋰*⋻3668↫)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5606,"operation_count":12,"complexity_ratio":467.1666666666667,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2713,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6714,"base":11}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3577,"base":11},"right_expr":{"type":"numeric_atoms","value":1263,"base":11}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1349,"base":11}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4831,"base":11},"right_expr":{"type":"numeric_atoms","value":4793,"base":11}}}}},"used_operators":["AFVx7xoS7T","5uvYHDjeKN","6Ko8hGgeMq","AvED76WdY7","megm06wKyl","4X4GscPmMf","vXNesLlMH1","QDVgd2eftb","EBhcHTkKd8","BUOGQAYlQx","uPb5QRN0te","212REbPD9h"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","uBihLCJcMX","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⋰*⋻A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2713","layer":4},{"info":"compute unary expreesion, input=2713, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=15208","layer":3},{"info":"number node, value=6714","layer":4},{"info":"compute unary expreesion, input=6714, 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=15208, right_input=-21, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=3577","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=1263, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=24876","layer":3},{"info":"compute unary expreesion, input=24876, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=2108716","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2108716, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=1349","layer":4},{"info":"compute unary expreesion, input=1349, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-18290","layer":3},{"info":"compute unary expreesion, input=-18290, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"number node, value=4831","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=4831, right_input=4793, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=229670880","layer":3},{"info":"compute unary expreesion, input=229670880, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=160, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=0, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":11,"result_base":11,"text":"((⊵⊁⋰*⋻2047)⫒⫫(⨈⫕⋰*⋻5054))⇍⊗((⋰*⋻2762≄⊠⋰*⋻A49)⨕⋳)⇌⫙⪟(⊆⋠(⋂⋰*⋻1017))⊮⊟↴(⋰*⋻36A2⋾⨃∁⋰*⋻3668↫)=⋰*⋻A3","reverse_text":"⋰*⋻A3=((⊵⊁⋰*⋻2047)⫒⫫(⨈⫕⋰*⋻5054))⇍⊗((⋰*⋻2762≄⊠⋰*⋻A49)⨕⋳)⇌⫙⪟(⊆⋠(⋂⋰*⋻1017))⊮⊟↴(⋰*⋻36A2⋾⨃∁⋰*⋻3668↫)","cot":[{"info":"⊵⊁⋰*⋻2047=⋰*⋻10476","layer":3},{"info":"⨈⫕⋰*⋻5054=⋰*⋻-1A","layer":3},{"info":"⋰*⋻10476⫒⫫⋰*⋻-1A=NaN","layer":2},{"info":"⋰*⋻2762≄⊠⋰*⋻A49=⋰*⋻17765","layer":3},{"info":"⋰*⋻17765⨕⋳=⋰*⋻1210345","layer":2},{"info":"NaN⇍⊗⋰*⋻1210345=⋰*⋻-202","layer":1},{"info":"⋂⋰*⋻1017=⋰*⋻-12818","layer":3},{"info":"⊆⋠⋰*⋻-12818=⋰*⋻2A98","layer":2},{"info":"⋰*⋻36A2⋾⨃∁⋰*⋻3668=⋰*⋻10870914A","layer":3},{"info":"⋰*⋻10870914A↫=⋰*⋻136","layer":2},{"info":"⋰*⋻2A98⊮⊟↴⋰*⋻136=⋰*⋻0","layer":1},{"info":"⋰*⋻-202⇌⫙⪟⋰*⋻0=⋰*⋻A3","layer":0}]}
{"id":379,"expression_no_base_symbol":"($1492$∋$1261$)≁($2213$⫲≸⪮$4827$)↳≱(($2042$⨥⫆$3223$)⨜⨶($1621$≠≀$2037$))⊋≦⊧($1874$≨$4574$↡⊰⫅$1943$⨭⪣$1390$⨑≵⋬($2565$⩹$2317$)⩵∡(⋂$1703$))","expression":"(⋰*⋻1137∋⋰*⋻A47)≁(⋰*⋻1732⫲≸⪮⋰*⋻3699)↳≱((⋰*⋻1597⨥⫆⋰*⋻2470)⨜⨶(⋰*⋻1244≠≀⋰*⋻1592))⊋≦⊧(⋰*⋻1454≨⋰*⋻3489↡⊰⫅⋰*⋻1507⨭⪣⋰*⋻1054⨑≵⋬(⋰*⋻1A22⩹⋰*⋻1817)⩵∡(⋂⋰*⋻1309))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":12012,"operation_count":15,"complexity_ratio":800.8,"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":1492,"base":11},"right_expr":{"type":"numeric_atoms","value":1261,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2213,"base":11},"right_expr":{"type":"numeric_atoms","value":4827,"base":11}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2042,"base":11},"right_expr":{"type":"numeric_atoms","value":3223,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1621,"base":11},"right_expr":{"type":"numeric_atoms","value":2037,"base":11}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1874,"base":11},"right_expr":{"type":"numeric_atoms","value":4574,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1943,"base":11},"right_expr":{"type":"numeric_atoms","value":1390,"base":11}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2565,"base":11},"right_expr":{"type":"numeric_atoms","value":2317,"base":11}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1703,"base":11}}}}},"used_operators":["oRDoc9rAEX","JwTKLfZU96","8N2wDY1A35","ukq6epAj5P","P3lXMJvFrc","HiPekx5b7W","yXekIHxTD4","IwW236VD4Y","XnXgA4xnOs","VCtxkLNOzz","0KMCeP1Jsh","kn8WO9XteQ","Y7wcNGrDQJ","2Wsdkap16l","BUOGQAYlQx"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⋰*⋻165","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1492","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=1261, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2636704","layer":3},{"info":"number node, value=2213","layer":4},{"info":"number node, value=4827","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=4827, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2213","layer":3},{"info":"compute binary expreesion, left_input=2636704, right_input=2213, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=39911","layer":2},{"info":"number node, value=2042","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=3223, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6322","layer":3},{"info":"number node, value=1621","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=2037, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2936","layer":3},{"info":"compute binary expreesion, left_input=6322, right_input=-2936, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=46387","layer":2},{"info":"compute binary expreesion, left_input=39911, right_input=46387, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1874","layer":4},{"info":"number node, value=4574","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=4574, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-16264","layer":3},{"info":"number node, value=1943","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=1390, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=664","layer":3},{"info":"compute binary expreesion, left_input=-16264, right_input=664, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=1328","layer":2},{"info":"number node, value=2565","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=2317, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2315","layer":3},{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-23246","layer":3},{"info":"compute binary expreesion, left_input=2315, right_input=-23246, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-27997","layer":2},{"info":"compute binary expreesion, left_input=1328, right_input=-27997, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=261024","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=261024, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1137∋⋰*⋻A47)≁(⋰*⋻1732⫲≸⪮⋰*⋻3699)↳≱((⋰*⋻1597⨥⫆⋰*⋻2470)⨜⨶(⋰*⋻1244≠≀⋰*⋻1592))⊋≦⊧(⋰*⋻1454≨⋰*⋻3489↡⊰⫅⋰*⋻1507⨭⪣⋰*⋻1054⨑≵⋬(⋰*⋻1A22⩹⋰*⋻1817)⩵∡(⋂⋰*⋻1309))=⋰*⋻165","reverse_text":"⋰*⋻165=(⋰*⋻1137∋⋰*⋻A47)≁(⋰*⋻1732⫲≸⪮⋰*⋻3699)↳≱((⋰*⋻1597⨥⫆⋰*⋻2470)⨜⨶(⋰*⋻1244≠≀⋰*⋻1592))⊋≦⊧(⋰*⋻1454≨⋰*⋻3489↡⊰⫅⋰*⋻1507⨭⪣⋰*⋻1054⨑≵⋬(⋰*⋻1A22⩹⋰*⋻1817)⩵∡(⋂⋰*⋻1309))","cot":[{"info":"⋰*⋻1137∋⋰*⋻A47=⋰*⋻1540AA4","layer":3},{"info":"⋰*⋻1732⫲≸⪮⋰*⋻3699=⋰*⋻1732","layer":3},{"info":"⋰*⋻1540AA4≁⋰*⋻1732=⋰*⋻27A93","layer":2},{"info":"⋰*⋻1597⨥⫆⋰*⋻2470=⋰*⋻4828","layer":3},{"info":"⋰*⋻1244≠≀⋰*⋻1592=⋰*⋻-222A","layer":3},{"info":"⋰*⋻4828⨜⨶⋰*⋻-222A=⋰*⋻31940","layer":2},{"info":"⋰*⋻27A93↳≱⋰*⋻31940=⋰*⋻0","layer":1},{"info":"⋰*⋻1454≨⋰*⋻3489=⋰*⋻-11246","layer":3},{"info":"⋰*⋻1507⨭⪣⋰*⋻1054=⋰*⋻554","layer":3},{"info":"⋰*⋻-11246↡⊰⫅⋰*⋻554=⋰*⋻AA8","layer":2},{"info":"⋰*⋻1A22⩹⋰*⋻1817=⋰*⋻1815","layer":3},{"info":"⋂⋰*⋻1309=⋰*⋻-16513","layer":3},{"info":"⋰*⋻1815⩵∡⋰*⋻-16513=⋰*⋻-1A042","layer":2},{"info":"⋰*⋻AA8⨑≵⋬⋰*⋻-1A042=⋰*⋻169125","layer":1},{"info":"⋰*⋻0⊋≦⊧⋰*⋻169125=⋰*⋻165","layer":0}]}
{"id":380,"expression_no_base_symbol":"((($5564$⨸⪁$3192$)⨘)⩟)⨐((≻⋜$4988$)⨟⋌⩍$1366$⪝$2684$≎⊠⪸(⊥$8824$)⩷∴(↘$1258$))","expression":"(((⋰*⋻41A9⨸⪁⋰*⋻2442)⨘)⩟)⨐((≻⋜⋰*⋻3825)⨟⋌⩍⋰*⋻1032⪝⋰*⋻2020≎⊠⪸(⊥⋰*⋻66A2)⩷∴(↘⋰*⋻A44))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":46206,"operation_count":11,"complexity_ratio":4200.545454545455,"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":5564,"base":11},"right_expr":{"type":"numeric_atoms","value":3192,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4988,"base":11}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1366,"base":11},"right_expr":{"type":"numeric_atoms","value":2684,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":8824,"base":11}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1258,"base":11}}}}},"used_operators":["Noe24qw2ks","fOIeswaMU4","ljcfZBUpm8","g55IO6H4Gj","bJkvcejdHO","rGHVDoGpnC","3tj9sqzovi","wicAB68Tmb","9FxExcQeMw","Q3PJZHRvZv","LdNpr8hQHL"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","uFcxV4UQCh"],"result":"⋰*⋻-1289123","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5564","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=5564, right_input=3192, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17512","layer":3},{"info":"compute unary expreesion, input=17512, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-123359","layer":2},{"info":"compute unary expreesion, input=-123359, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=1111458","layer":1},{"info":"number node, value=4988","layer":4},{"info":"compute unary expreesion, input=4988, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=2684, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=237, op_id = 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=8824","layer":4},{"info":"compute unary expreesion, input=8824, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1258","layer":4},{"info":"compute unary expreesion, input=1258, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=82","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=82, 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 = 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=1111458, right_input=67, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2222916","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻41A9⨸⪁⋰*⋻2442)⨘)⩟)⨐((≻⋜⋰*⋻3825)⨟⋌⩍⋰*⋻1032⪝⋰*⋻2020≎⊠⪸(⊥⋰*⋻66A2)⩷∴(↘⋰*⋻A44))=⋰*⋻-1289123","reverse_text":"⋰*⋻-1289123=(((⋰*⋻41A9⨸⪁⋰*⋻2442)⨘)⩟)⨐((≻⋜⋰*⋻3825)⨟⋌⩍⋰*⋻1032⪝⋰*⋻2020≎⊠⪸(⊥⋰*⋻66A2)⩷∴(↘⋰*⋻A44))","cot":[{"info":"⋰*⋻41A9⨸⪁⋰*⋻2442=⋰*⋻12180","layer":3},{"info":"⋰*⋻12180⨘=⋰*⋻-84755","layer":2},{"info":"⋰*⋻-84755⩟=⋰*⋻69A067","layer":1},{"info":"≻⋜⋰*⋻3825=NaN","layer":3},{"info":"⋰*⋻1032⪝⋰*⋻2020=⋰*⋻1A6","layer":3},{"info":"NaN⨟⋌⩍⋰*⋻1A6=NaN","layer":2},{"info":"⊥⋰*⋻66A2=NaN","layer":3},{"info":"↘⋰*⋻A44=⋰*⋻75","layer":3},{"info":"NaN⩷∴⋰*⋻75=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻69A067⨐⋰*⋻61=⋰*⋻-1289123","layer":0}]}
{"id":381,"expression_no_base_symbol":"(⨵≀≌($3461$⩍⋽⫝̸$2792$)⩣⫁∢($1309$⋛$5237$))⨽∌((∜⨇($3180$↢$2311$))⇴∐($4117$⊬⨰$3324$⪉⨛$8080$⩵∡$2299$))","expression":"(⨵≀≌(⋰*⋻2667⩍⋽⫝̸⋰*⋻2109)⩣⫁∢(⋰*⋻A90⋛⋰*⋻3A31))⨽∌((∜⨇(⋰*⋻2431↢⋰*⋻1811))⇴∐(⋰*⋻3103⊬⨰⋰*⋻2552⪉⨛⋰*⋻6086⩵∡⋰*⋻1800))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4012,"operation_count":11,"complexity_ratio":364.72727272727275,"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":3461,"base":11},"right_expr":{"type":"numeric_atoms","value":2792,"base":11}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1309,"base":11},"right_expr":{"type":"numeric_atoms","value":5237,"base":11}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3180,"base":11},"right_expr":{"type":"numeric_atoms","value":2311,"base":11}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4117,"base":11},"right_expr":{"type":"numeric_atoms","value":3324,"base":11}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":8080,"base":11},"right_expr":{"type":"numeric_atoms","value":2299,"base":11}}}}},"used_operators":["9samAPKr6k","srAu1WTS94","JDUIKTTSIa","BiWNJpBvwn","YbUVn0Rbpy","HnzytWxmAO","uFPyJr306J","WR6HLWljOP","EWw2JM7wp4","s3Fd5m9Dh2","Y7wcNGrDQJ"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Ph9nP6C5qx","xUOZtlo3hN","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3461","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=2792, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1846","layer":3},{"info":"number node, value=1309","layer":4},{"info":"number node, value=5237","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=5237, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-120411","layer":3},{"info":"compute binary expreesion, left_input=1846, right_input=-120411, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3531","layer":2},{"info":"compute unary expreesion, input=-3531, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=12467961","layer":1},{"info":"number node, value=3180","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=3180, right_input=2311, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2696","layer":3},{"info":"compute unary expreesion, input=2696, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"number node, value=4117","layer":4},{"info":"number node, value=3324","layer":4},{"info":"compute binary expreesion, left_input=4117, right_input=3324, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=16357","layer":3},{"info":"number node, value=8080","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=8080, right_input=2299, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-13982","layer":3},{"info":"compute binary expreesion, left_input=16357, right_input=-13982, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=63268","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=63268, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12467961, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(⋰*⋻2667⩍⋽⫝̸⋰*⋻2109)⩣⫁∢(⋰*⋻A90⋛⋰*⋻3A31))⨽∌((∜⨇(⋰*⋻2431↢⋰*⋻1811))⇴∐(⋰*⋻3103⊬⨰⋰*⋻2552⪉⨛⋰*⋻6086⩵∡⋰*⋻1800))=NaN","reverse_text":"NaN=(⨵≀≌(⋰*⋻2667⩍⋽⫝̸⋰*⋻2109)⩣⫁∢(⋰*⋻A90⋛⋰*⋻3A31))⨽∌((∜⨇(⋰*⋻2431↢⋰*⋻1811))⇴∐(⋰*⋻3103⊬⨰⋰*⋻2552⪉⨛⋰*⋻6086⩵∡⋰*⋻1800))","cot":[{"info":"⋰*⋻2667⩍⋽⫝̸⋰*⋻2109=⋰*⋻1429","layer":3},{"info":"⋰*⋻A90⋛⋰*⋻3A31=⋰*⋻-82515","layer":3},{"info":"⋰*⋻1429⩣⫁∢⋰*⋻-82515=⋰*⋻-2720","layer":2},{"info":"⨵≀≌⋰*⋻-2720=⋰*⋻7046400","layer":1},{"info":"⋰*⋻2431↢⋰*⋻1811=⋰*⋻2031","layer":3},{"info":"∜⨇⋰*⋻2031=NaN","layer":2},{"info":"⋰*⋻3103⊬⨰⋰*⋻2552=⋰*⋻11320","layer":3},{"info":"⋰*⋻6086⩵∡⋰*⋻1800=⋰*⋻-A561","layer":3},{"info":"⋰*⋻11320⪉⨛⋰*⋻-A561=⋰*⋻43597","layer":2},{"info":"NaN⇴∐⋰*⋻43597=NaN","layer":1},{"info":"⋰*⋻7046400⨽∌NaN=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"((≦∁(≑⋹$4580$))⨭⪣(⫟$4613$≁$2996$))⨜⨶(⇐($1295$⫣⪄⊒$7154$⨼⩣$4300$⩁⩘$1385$))","expression":"((≦∁(≑⋹⋰*⋻3494))⨭⪣(⫟⋰*⋻3514≁⋰*⋻2284))⨜⨶(⇐(⋰*⋻A78⫣⪄⊒⋰*⋻5414⨼⩣⋰*⋻325A⩁⩘⋰*⋻104A))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":860,"operation_count":10,"complexity_ratio":86.0,"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":4580,"base":11}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4613,"base":11},"right_expr":{"type":"numeric_atoms","value":2996,"base":11}}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1295,"base":11},"right_expr":{"type":"numeric_atoms","value":7154,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4300,"base":11},"right_expr":{"type":"numeric_atoms","value":1385,"base":11}}}}},"used_operators":["HiPekx5b7W","kn8WO9XteQ","9ICcGScMcE","6B9nyZLogK","z4E1FaHLuy","8N2wDY1A35","nmZMaaE0Q9","JxwMv5le6e","RabNbG55vr","gub5Cegaqo"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4580","layer":4},{"info":"compute unary expreesion, input=4580, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1650","layer":2},{"info":"number node, value=4613","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=2996, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=58703","layer":3},{"info":"compute unary expreesion, input=58703, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-175202","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=-175202, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=371","layer":1},{"info":"number node, value=1295","layer":4},{"info":"number node, value=7154","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=7154, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-40846","layer":3},{"info":"number node, value=4300","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=4300, right_input=1385, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6488","layer":3},{"info":"compute binary expreesion, left_input=-40846, right_input=6488, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=371, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≦∁(≑⋹⋰*⋻3494))⨭⪣(⫟⋰*⋻3514≁⋰*⋻2284))⨜⨶(⇐(⋰*⋻A78⫣⪄⊒⋰*⋻5414⨼⩣⋰*⋻325A⩁⩘⋰*⋻104A))=NaN","reverse_text":"NaN=((≦∁(≑⋹⋰*⋻3494))⨭⪣(⫟⋰*⋻3514≁⋰*⋻2284))⨜⨶(⇐(⋰*⋻A78⫣⪄⊒⋰*⋻5414⨼⩣⋰*⋻325A⩁⩘⋰*⋻104A))","cot":[{"info":"≑⋹⋰*⋻3494=⋰*⋻1270","layer":3},{"info":"≦∁⋰*⋻1270=⋰*⋻1270","layer":2},{"info":"⋰*⋻3514≁⋰*⋻2284=⋰*⋻40117","layer":3},{"info":"⫟⋰*⋻40117=⋰*⋻-10A6A5","layer":2},{"info":"⋰*⋻1270⨭⪣⋰*⋻-10A6A5=⋰*⋻308","layer":1},{"info":"⋰*⋻A78⫣⪄⊒⋰*⋻5414=⋰*⋻-28763","layer":3},{"info":"⋰*⋻325A⩁⩘⋰*⋻104A=⋰*⋻4969","layer":3},{"info":"⋰*⋻-28763⨼⩣⋰*⋻4969=NaN","layer":2},{"info":"⇐NaN=NaN","layer":1},{"info":"⋰*⋻308⨜⨶NaN=NaN","layer":0}]}
{"id":383,"expression_no_base_symbol":"((≑⋹(≯$1128$))⋝⋈⪟($1091$↬⩅∪)⨔⇊($4826$-$1369$))⨘⋶⪀","expression":"((≑⋹(≯⋰*⋻936))⋝⋈⪟(⋰*⋻902↬⩅∪)⨔⇊(⋰*⋻3698-⋰*⋻1035))⨘⋶⪀","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":413,"operation_count":7,"complexity_ratio":59.0,"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":1128,"base":11}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1091,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4826,"base":11},"right_expr":{"type":"numeric_atoms","value":1369,"base":11}}}}},"used_operators":["XVKwrhznBb","2DDjHMKMc0","6B9nyZLogK","keWfFq85dY","JclMnS0uGI","VJ330n2nnx","rysDP5nf3Z"],"dependent_operators":["TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","W4YGzv6Whe","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","g55IO6H4Gj","JLbD19bQDL","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3273","layer":3},{"info":"number node, value=4826","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=4826, right_input=1369, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3457","layer":3},{"info":"compute binary expreesion, left_input=-3273, right_input=3457, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3457","layer":2},{"info":"compute binary expreesion, left_input=-694, right_input=3457, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-694","layer":1},{"info":"compute unary expreesion, input=-694, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≑⋹(≯⋰*⋻936))⋝⋈⪟(⋰*⋻902↬⩅∪)⨔⇊(⋰*⋻3698-⋰*⋻1035))⨘⋶⪀=NaN","reverse_text":"NaN=((≑⋹(≯⋰*⋻936))⋝⋈⪟(⋰*⋻902↬⩅∪)⨔⇊(⋰*⋻3698-⋰*⋻1035))⨘⋶⪀","cot":[{"info":"≯⋰*⋻936=⋰*⋻0","layer":3},{"info":"≑⋹⋰*⋻0=⋰*⋻-581","layer":2},{"info":"⋰*⋻902↬⩅∪=⋰*⋻-2506","layer":3},{"info":"⋰*⋻3698-⋰*⋻1035=⋰*⋻2663","layer":3},{"info":"⋰*⋻-2506⨔⇊⋰*⋻2663=⋰*⋻2663","layer":2},{"info":"⋰*⋻-581⋝⋈⪟⋰*⋻2663=⋰*⋻-581","layer":1},{"info":"⋰*⋻-581⨘⋶⪀=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"∂⩏⊆(↥≼⋛($2853$↦))⫢⨠($1156$≬⋮$4853$)⨪↰⇹$2614$≝⊿$5658$","expression":"∂⩏⊆(↥≼⋛(⋰*⋻2164↦))⫢⨠(⋰*⋻961≬⋮⋰*⋻3712)⨪↰⇹⋰*⋻1A67≝⊿⋰*⋻4284","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":225482,"operation_count":7,"complexity_ratio":32211.714285714286,"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":2853,"base":11}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1156,"base":11},"right_expr":{"type":"numeric_atoms","value":4853,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2614,"base":11},"right_expr":{"type":"numeric_atoms","value":5658,"base":11}}}}},"used_operators":["8WDwsbhb0R","xlXykHWxX1","x5lMkHmzsq","fFznvYxMfW","tmPS8pqC7x","kbkesczE7y","OKKcZfAt5B"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","12rbrZMWeM"],"result":"⋰*⋻-469","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2853","layer":4},{"info":"compute unary expreesion, input=2853, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=1156","layer":4},{"info":"number node, value=4853","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=4853, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2614","layer":4},{"info":"number node, value=5658","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=5658, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-14463","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-14463, 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=868","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=868, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-559","layer":0}],"base":11,"result_base":11,"text":"∂⩏⊆(↥≼⋛(⋰*⋻2164↦))⫢⨠(⋰*⋻961≬⋮⋰*⋻3712)⨪↰⇹⋰*⋻1A67≝⊿⋰*⋻4284=⋰*⋻-469","reverse_text":"⋰*⋻-469=∂⩏⊆(↥≼⋛(⋰*⋻2164↦))⫢⨠(⋰*⋻961≬⋮⋰*⋻3712)⨪↰⇹⋰*⋻1A67≝⊿⋰*⋻4284","cot":[{"info":"⋰*⋻2164↦=NaN","layer":3},{"info":"↥≼⋛NaN=⋰*⋻-A3","layer":2},{"info":"⋰*⋻961≬⋮⋰*⋻3712=⋰*⋻71A","layer":3},{"info":"⋰*⋻1A67≝⊿⋰*⋻4284=⋰*⋻-A959","layer":3},{"info":"⋰*⋻71A⨪↰⇹⋰*⋻-A959=⋰*⋻71A","layer":2},{"info":"⋰*⋻-A3⫢⨠⋰*⋻71A=⋰*⋻136","layer":1},{"info":"∂⩏⊆⋰*⋻136=⋰*⋻-469","layer":0}]}
{"id":385,"expression_no_base_symbol":"(((↥$3452$)⊍⩺⋍$8048$⩣⫁∢$4448$)∖($1225$⪚$1217$⩟))≀⩗∶($2533$⩼⇪↪$4863$≃$3474$⪃⊛⇣$5970$)⪮%⊝($1536$↙$2056$)∴$3530$⪟⇏$3101$","expression":"(((↥⋰*⋻2659)⊍⩺⋍⋰*⋻6057⩣⫁∢⋰*⋻3384)∖(⋰*⋻A14⪚⋰*⋻A07⩟))≀⩗∶(⋰*⋻19A3⩼⇪↪⋰*⋻3721≃⋰*⋻2679⪃⊛⇣⋰*⋻4538)⪮%⊝(⋰*⋻1177↙⋰*⋻15AA)∴⋰*⋻271A⪟⇏⋰*⋻236A","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3575,"operation_count":14,"complexity_ratio":255.35714285714286,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3452,"base":11}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":8048,"base":11},"right_expr":{"type":"numeric_atoms","value":4448,"base":11}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1225,"base":11},"right_expr":{"type":"numeric_atoms","value":1217,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2533,"base":11},"right_expr":{"type":"numeric_atoms","value":4863,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3474,"base":11},"right_expr":{"type":"numeric_atoms","value":5970,"base":11}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":2056,"base":11}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3530,"base":11},"right_expr":{"type":"numeric_atoms","value":3101,"base":11}}}}},"used_operators":["8INZBEW696","tXD093vOjl","OXDGMFPWZM","A8NUZmVepG","JDUIKTTSIa","fOIeswaMU4","HrjLwUk87U","IWmyXbctLI","YbVcJGFEVW","ocnLzx9CaJ","rrgAzCduG9","hrf7POJlIJ","yyfyN0ffXY","GODebY97qR"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","k8jYdgA6NY","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","tmPS8pqC7x","DpFCA1CohY","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3452","layer":4},{"info":"compute unary expreesion, input=3452, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":3},{"info":"number node, value=8048","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=8048, right_input=4448, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-15935","layer":3},{"info":"compute binary expreesion, left_input=35, right_input=-15935, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=1225","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1217, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-340","layer":3},{"info":"compute unary expreesion, input=-340, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=4287","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4287, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=2533","layer":4},{"info":"number node, value=4863","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=4863, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-29758","layer":3},{"info":"number node, value=3474","layer":4},{"info":"number node, value=5970","layer":4},{"info":"compute binary expreesion, left_input=3474, right_input=5970, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-29758, right_input=1234, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=59496","layer":2},{"info":"number node, value=1536","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=2056, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6168","layer":3},{"info":"number node, value=3530","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=3530, right_input=3101, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-6168, right_input=-1, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-10688","layer":2},{"info":"compute binary expreesion, left_input=59496, right_input=-10688, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=119308","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=119308, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((↥⋰*⋻2659)⊍⩺⋍⋰*⋻6057⩣⫁∢⋰*⋻3384)∖(⋰*⋻A14⪚⋰*⋻A07⩟))≀⩗∶(⋰*⋻19A3⩼⇪↪⋰*⋻3721≃⋰*⋻2679⪃⊛⇣⋰*⋻4538)⪮%⊝(⋰*⋻1177↙⋰*⋻15AA)∴⋰*⋻271A⪟⇏⋰*⋻236A=NaN","reverse_text":"NaN=(((↥⋰*⋻2659)⊍⩺⋍⋰*⋻6057⩣⫁∢⋰*⋻3384)∖(⋰*⋻A14⪚⋰*⋻A07⩟))≀⩗∶(⋰*⋻19A3⩼⇪↪⋰*⋻3721≃⋰*⋻2679⪃⊛⇣⋰*⋻4538)⪮%⊝(⋰*⋻1177↙⋰*⋻15AA)∴⋰*⋻271A⪟⇏⋰*⋻236A","cot":[{"info":"↥⋰*⋻2659=⋰*⋻32","layer":3},{"info":"⋰*⋻6057⩣⫁∢⋰*⋻3384=⋰*⋻-10A77","layer":3},{"info":"⋰*⋻32⊍⩺⋍⋰*⋻-10A77=NaN","layer":2},{"info":"⋰*⋻A14⪚⋰*⋻A07=⋰*⋻-28A","layer":3},{"info":"⋰*⋻-28A⩟=⋰*⋻3248","layer":2},{"info":"NaN∖⋰*⋻3248=⋰*⋻0","layer":1},{"info":"⋰*⋻19A3⩼⇪↪⋰*⋻3721=⋰*⋻-203A3","layer":3},{"info":"⋰*⋻2679⪃⊛⇣⋰*⋻4538=⋰*⋻A22","layer":3},{"info":"⋰*⋻-203A3≃⋰*⋻A22=⋰*⋻40778","layer":2},{"info":"⋰*⋻1177↙⋰*⋻15AA=⋰*⋻-46A8","layer":3},{"info":"⋰*⋻271A⪟⇏⋰*⋻236A=⋰*⋻-1","layer":3},{"info":"⋰*⋻-46A8∴⋰*⋻-1=⋰*⋻-8037","layer":2},{"info":"⋰*⋻40778⪮%⊝⋰*⋻-8037=⋰*⋻81702","layer":1},{"info":"⋰*⋻0≀⩗∶⋰*⋻81702=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"((⨮↦↱$1325$⨿$1835$)⪗)↤⩊(≻⋜($1747$⪔⊥$2094$⫸⊐(⇜$1012$)))","expression":"((⨮↦↱⋰*⋻AA5⨿⋰*⋻1419)⪗)↤⩊(≻⋜(⋰*⋻1349⪔⊥⋰*⋻1634⫸⊐(⇜⋰*⋻840)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":97496,"operation_count":8,"complexity_ratio":12187.0,"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":1325,"base":11},"right_expr":{"type":"numeric_atoms","value":1835,"base":11}}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1747,"base":11},"right_expr":{"type":"numeric_atoms","value":2094,"base":11}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1012,"base":11}}}}},"used_operators":["13rbtpv6ld","VEQNXA0ZBg","sYcpBQ0cFf","abYXlopdE0","3tj9sqzovi","mqXw5SEYmG","HJ9erzHUuu","lFBm8KRb8F"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=1835, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1747","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=2094, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2601","layer":3},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8504","layer":3},{"info":"compute binary expreesion, left_input=2601, right_input=-8504, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-17137","layer":2},{"info":"compute unary expreesion, input=-17137, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨮↦↱⋰*⋻AA5⨿⋰*⋻1419)⪗)↤⩊(≻⋜(⋰*⋻1349⪔⊥⋰*⋻1634⫸⊐(⇜⋰*⋻840)))=NaN","reverse_text":"NaN=((⨮↦↱⋰*⋻AA5⨿⋰*⋻1419)⪗)↤⩊(≻⋜(⋰*⋻1349⪔⊥⋰*⋻1634⫸⊐(⇜⋰*⋻840)))","cot":[{"info":"⋰*⋻AA5⨿⋰*⋻1419=⋰*⋻-270","layer":3},{"info":"⨮↦↱⋰*⋻-270=⋰*⋻-50","layer":2},{"info":"⋰*⋻-50⪗=NaN","layer":1},{"info":"⋰*⋻1349⪔⊥⋰*⋻1634=⋰*⋻1A55","layer":3},{"info":"⇜⋰*⋻840=⋰*⋻-6431","layer":3},{"info":"⋰*⋻1A55⫸⊐⋰*⋻-6431=⋰*⋻-1196A","layer":2},{"info":"≻⋜⋰*⋻-1196A=NaN","layer":1},{"info":"NaN↤⩊NaN=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"⨝⨆(≋($1229$⊬⨰$5017$⊢))","expression":"⨝⨆(≋(⋰*⋻A18⊬⨰⋰*⋻3851⊢))","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16,"operation_count":4,"complexity_ratio":4.0,"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":1229,"base":11},"right_expr":{"type":"numeric_atoms","value":5017,"base":11}}}}},"used_operators":["bQ67fsrMVf","61wBmkZwlr","40aOVDgCDB","s3Fd5m9Dh2"],"dependent_operators":["tifHPKVTfV","7j4O788W3g","NTOWxs364D","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻-14606","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1229","layer":4},{"info":"number node, value=5017","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=5017, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=20241","layer":3},{"info":"compute unary expreesion, input=20241, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-20488","layer":2},{"info":"compute unary expreesion, input=-20488, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-20488","layer":1},{"info":"compute unary expreesion, input=-20488, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-20697","layer":0}],"base":11,"result_base":11,"text":"⨝⨆(≋(⋰*⋻A18⊬⨰⋰*⋻3851⊢))=⋰*⋻-14606","reverse_text":"⋰*⋻-14606=⨝⨆(≋(⋰*⋻A18⊬⨰⋰*⋻3851⊢))","cot":[{"info":"⋰*⋻A18⊬⨰⋰*⋻3851=⋰*⋻14231","layer":3},{"info":"⋰*⋻14231⊢=⋰*⋻-14436","layer":2},{"info":"≋⋰*⋻-14436=⋰*⋻-14436","layer":1},{"info":"⨝⨆⋰*⋻-14436=⋰*⋻-14606","layer":0}]}
{"id":388,"expression_no_base_symbol":"(↨($3731$⊍)+⪬∐($1062$↡⊰⫅$9143$))⪒⊣⊆((↓⇌($1055$⩣⫁∢$1541$))⫑)","expression":"(↨(⋰*⋻2892⊍)+⪬∐(⋰*⋻886↡⊰⫅⋰*⋻6962))⪒⊣⊆((↓⇌(⋰*⋻87A⩣⫁∢⋰*⋻1181))⫑)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":128224,"operation_count":8,"complexity_ratio":16028.0,"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":3731,"base":11}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1062,"base":11},"right_expr":{"type":"numeric_atoms","value":9143,"base":11}}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1055,"base":11},"right_expr":{"type":"numeric_atoms","value":1541,"base":11}}}}},"used_operators":["eRqsBgTDFp","jiX4gk2v2Q","2GS7woTJqF","3nqY3DE9mg","VCtxkLNOzz","CgIo77xlM2","PxpmPgHHJV","JDUIKTTSIa"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","rGHVDoGpnC","oZj3VtZNQx","g55IO6H4Gj","D4vGDi5EA2","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3731","layer":4},{"info":"compute unary expreesion, input=3731, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=9513","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=9143","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=9143, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=18286","layer":3},{"info":"compute binary expreesion, left_input=9513, right_input=18286, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-28539","layer":2},{"info":"compute unary expreesion, input=-28539, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1541, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1949","layer":3},{"info":"compute unary expreesion, input=-1949, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-3898","layer":2},{"info":"compute unary expreesion, input=-3898, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↨(⋰*⋻2892⊍)+⪬∐(⋰*⋻886↡⊰⫅⋰*⋻6962))⪒⊣⊆((↓⇌(⋰*⋻87A⩣⫁∢⋰*⋻1181))⫑)=NaN","reverse_text":"NaN=(↨(⋰*⋻2892⊍)+⪬∐(⋰*⋻886↡⊰⫅⋰*⋻6962))⪒⊣⊆((↓⇌(⋰*⋻87A⩣⫁∢⋰*⋻1181))⫑)","cot":[{"info":"⋰*⋻2892⊍=⋰*⋻7169","layer":3},{"info":"⋰*⋻886↡⊰⫅⋰*⋻6962=⋰*⋻12814","layer":3},{"info":"⋰*⋻7169+⪬∐⋰*⋻12814=⋰*⋻-1A495","layer":2},{"info":"↨⋰*⋻-1A495=NaN","layer":1},{"info":"⋰*⋻87A⩣⫁∢⋰*⋻1181=⋰*⋻-1512","layer":3},{"info":"↓⇌⋰*⋻-1512=⋰*⋻-2A24","layer":2},{"info":"⋰*⋻-2A24⫑=⋰*⋻-3A7","layer":1},{"info":"NaN⪒⊣⊆⋰*⋻-3A7=NaN","layer":0}]}
{"id":389,"expression_no_base_symbol":"($5008$∌$5292$⫢⨠(⨴⫝$7264$))⨓(($1303$⩵∡$5592$)⪇≇⋚($3616$⪄$1978$))⩺⪪(↥($7854$⋹))⊉↱≁(($4355$⫉⨲⊜$1086$)↠)","expression":"(⋰*⋻3843∌⋰*⋻3A81⫢⨠(⨴⫝⋰*⋻5504))⨓((⋰*⋻A85⩵∡⋰*⋻4224)⪇≇⋚(⋰*⋻2798⪄⋰*⋻1539))⩺⪪(↥(⋰*⋻59A0⋹))⊉↱≁((⋰*⋻32AA⫉⨲⊜⋰*⋻8A8)↠)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3843,"operation_count":13,"complexity_ratio":295.61538461538464,"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":5008,"base":11},"right_expr":{"type":"numeric_atoms","value":5292,"base":11}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":7264,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1303,"base":11},"right_expr":{"type":"numeric_atoms","value":5592,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3616,"base":11},"right_expr":{"type":"numeric_atoms","value":1978,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":7854,"base":11}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4355,"base":11},"right_expr":{"type":"numeric_atoms","value":1086,"base":11}}}}},"used_operators":["uvdQJvN4PV","3ViojmjbAp","xlXykHWxX1","8cLx32lpNA","SVb2v531z1","3sJ7IOPOlU","Y7wcNGrDQJ","SUmda5xLS4","w2P8NbNXyL","A8NUZmVepG","opAxDRczMr","LBdsKIvxzf","WhqkvtTD3t"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","glklzrTFfD","tifHPKVTfV","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","k8jYdgA6NY","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5008","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=5008, right_input=5292, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5292","layer":3},{"info":"number node, value=7264","layer":4},{"info":"compute unary expreesion, input=7264, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=-5292, right_input=2828198, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=1303","layer":4},{"info":"number node, value=5592","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=5592, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2865","layer":3},{"info":"number node, value=3616","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=1978, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-539169","layer":3},{"info":"compute binary expreesion, left_input=2865, right_input=-539169, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=7854","layer":4},{"info":"compute unary expreesion, input=7854, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute unary expreesion, input=-20, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":2},{"info":"number node, value=4355","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=1086, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=31, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3843∌⋰*⋻3A81⫢⨠(⨴⫝⋰*⋻5504))⨓((⋰*⋻A85⩵∡⋰*⋻4224)⪇≇⋚(⋰*⋻2798⪄⋰*⋻1539))⩺⪪(↥(⋰*⋻59A0⋹))⊉↱≁((⋰*⋻32AA⫉⨲⊜⋰*⋻8A8)↠)=NaN","reverse_text":"NaN=(⋰*⋻3843∌⋰*⋻3A81⫢⨠(⨴⫝⋰*⋻5504))⨓((⋰*⋻A85⩵∡⋰*⋻4224)⪇≇⋚(⋰*⋻2798⪄⋰*⋻1539))⩺⪪(↥(⋰*⋻59A0⋹))⊉↱≁((⋰*⋻32AA⫉⨲⊜⋰*⋻8A8)↠)","cot":[{"info":"⋰*⋻3843∌⋰*⋻3A81=⋰*⋻-3A81","layer":3},{"info":"⨴⫝⋰*⋻5504=⋰*⋻166195A","layer":3},{"info":"⋰*⋻-3A81⫢⨠⋰*⋻166195A=⋰*⋻136","layer":2},{"info":"⋰*⋻A85⩵∡⋰*⋻4224=⋰*⋻2175","layer":3},{"info":"⋰*⋻2798⪄⋰*⋻1539=⋰*⋻-3390A4","layer":3},{"info":"⋰*⋻2175⪇≇⋚⋰*⋻-3390A4=⋰*⋻0","layer":2},{"info":"⋰*⋻136⨓⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻59A0⋹=⋰*⋻-19","layer":3},{"info":"↥⋰*⋻-19=⋰*⋻29","layer":2},{"info":"⋰*⋻32AA⫉⨲⊜⋰*⋻8A8=⋰*⋻0","layer":3},{"info":"⋰*⋻0↠=NaN","layer":2},{"info":"⋰*⋻29⊉↱≁NaN=NaN","layer":1},{"info":"NaN⩺⪪NaN=NaN","layer":0}]}
{"id":390,"expression_no_base_symbol":"($2406$⪛$1274$∵≐)∇⊂⋱($3826$∘$1155$⪥($3312$≀⩗∶$1990$))⨳⩥⨓(($2114$⨽⪊≇)⫍⨯↯)⨽($6274$⊝⪿⪼$2320$)∓⋝$3389$⨽∌$4625$","expression":"(⋰*⋻1898⪛⋰*⋻A59∵≐)∇⊂⋱(⋰*⋻2969∘⋰*⋻960⪥(⋰*⋻2541≀⩗∶⋰*⋻154A))⨳⩥⨓((⋰*⋻1652⨽⪊≇)⫍⨯↯)⨽(⋰*⋻4794⊝⪿⪼⋰*⋻181A)∓⋝⋰*⋻2601⨽∌⋰*⋻3525","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3873,"operation_count":13,"complexity_ratio":297.9230769230769,"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":2406,"base":11},"right_expr":{"type":"numeric_atoms","value":1274,"base":11}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3826,"base":11},"right_expr":{"type":"numeric_atoms","value":1155,"base":11}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3312,"base":11},"right_expr":{"type":"numeric_atoms","value":1990,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":2114,"base":11}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6274,"base":11},"right_expr":{"type":"numeric_atoms","value":2320,"base":11}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3389,"base":11},"right_expr":{"type":"numeric_atoms","value":4625,"base":11}}}}},"used_operators":["nCS4ZIUYfx","nhYeJWJD5X","59igzFyhWz","uFcxV4UQCh","QbnwKVWMIQ","Z5m6OM72h2","8INZBEW696","8HhzD0ZcuI","ZcwmYACASQ","nlCqmYiOvY","PoHhknlbAi","3Oe9XWJUTD","9samAPKr6k"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eH2TOUuTDT","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⋰*⋻-20875577","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2406","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=1274, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1132","layer":3},{"info":"compute unary expreesion, input=1132, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=186","layer":2},{"info":"number node, value=3826","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=1155, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7652","layer":3},{"info":"number node, value=3312","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=1990, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7652, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=186, right_input=-116, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-174","layer":1},{"info":"number node, value=2114","layer":4},{"info":"compute unary expreesion, input=2114, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=3702","layer":3},{"info":"compute unary expreesion, input=3702, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=3669","layer":2},{"info":"number node, value=6274","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=6274, right_input=2320, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=86766","layer":3},{"info":"number node, value=3389","layer":4},{"info":"number node, value=4625","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=4625, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=86766, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3538","layer":2},{"info":"compute binary expreesion, left_input=3669, right_input=-3538, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-40372755","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-40372755, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-40372581","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1898⪛⋰*⋻A59∵≐)∇⊂⋱(⋰*⋻2969∘⋰*⋻960⪥(⋰*⋻2541≀⩗∶⋰*⋻154A))⨳⩥⨓((⋰*⋻1652⨽⪊≇)⫍⨯↯)⨽(⋰*⋻4794⊝⪿⪼⋰*⋻181A)∓⋝⋰*⋻2601⨽∌⋰*⋻3525=⋰*⋻-20875577","reverse_text":"⋰*⋻-20875577=(⋰*⋻1898⪛⋰*⋻A59∵≐)∇⊂⋱(⋰*⋻2969∘⋰*⋻960⪥(⋰*⋻2541≀⩗∶⋰*⋻154A))⨳⩥⨓((⋰*⋻1652⨽⪊≇)⫍⨯↯)⨽(⋰*⋻4794⊝⪿⪼⋰*⋻181A)∓⋝⋰*⋻2601⨽∌⋰*⋻3525","cot":[{"info":"⋰*⋻1898⪛⋰*⋻A59=⋰*⋻93A","layer":3},{"info":"⋰*⋻93A∵≐=⋰*⋻15A","layer":2},{"info":"⋰*⋻2969∘⋰*⋻960=⋰*⋻5827","layer":3},{"info":"⋰*⋻2541≀⩗∶⋰*⋻154A=⋰*⋻0","layer":3},{"info":"⋰*⋻5827⪥⋰*⋻0=⋰*⋻-A6","layer":2},{"info":"⋰*⋻15A∇⊂⋱⋰*⋻-A6=⋰*⋻-149","layer":1},{"info":"⋰*⋻1652⨽⪊≇=⋰*⋻2866","layer":3},{"info":"⋰*⋻2866⫍⨯↯=⋰*⋻2836","layer":2},{"info":"⋰*⋻4794⊝⪿⪼⋰*⋻181A=⋰*⋻5A209","layer":3},{"info":"⋰*⋻2601⨽∌⋰*⋻3525=⋰*⋻0","layer":3},{"info":"⋰*⋻5A209∓⋝⋰*⋻0=⋰*⋻-2727","layer":2},{"info":"⋰*⋻2836⨽⋰*⋻-2727=⋰*⋻-20875715","layer":1},{"info":"⋰*⋻-149⨳⩥⨓⋰*⋻-20875715=⋰*⋻-20875577","layer":0}]}
{"id":391,"expression_no_base_symbol":"((⇉-⫰($1736$≄⊠$4353$))⪣⫩)⪉⨛$5432$⪒⊣⊆$4914$⊢($2378$⩹$1326$)⫥∨⫟$5548$⇡⇂$1251$⊢($3043$⪇≇⋚$2750$)","expression":"((⇉-⫰(⋰*⋻1339≄⊠⋰*⋻32A8))⪣⫩)⪉⨛⋰*⋻4099⪒⊣⊆⋰*⋻3768⊢(⋰*⋻1872⩹⋰*⋻AA6)⫥∨⫟⋰*⋻4194⇡⇂⋰*⋻A38⊢(⋰*⋻2317⪇≇⋚⋰*⋻2080)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6639,"operation_count":11,"complexity_ratio":603.5454545454545,"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":1736,"base":11},"right_expr":{"type":"numeric_atoms","value":4353,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":5432,"base":11},"right_expr":{"type":"numeric_atoms","value":4914,"base":11}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2378,"base":11},"right_expr":{"type":"numeric_atoms","value":1326,"base":11}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5548,"base":11},"right_expr":{"type":"numeric_atoms","value":1251,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3043,"base":11},"right_expr":{"type":"numeric_atoms","value":2750,"base":11}}}}},"used_operators":["EWw2JM7wp4","iuk5sVOGFA","IGFM8TAlm9","vXNesLlMH1","KYD54nUTWz","5twsqlHp2o","eRqsBgTDFp","2Wsdkap16l","UMwdvZNt44","3sJ7IOPOlU"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","eH2TOUuTDT","eewbuw0ToL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1736","layer":4},{"info":"number node, value=4353","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=4353, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=74316","layer":3},{"info":"compute unary expreesion, input=74316, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":1},{"info":"number node, value=5432","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=5432, right_input=4914, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=10864","layer":3},{"info":"number node, value=2378","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=1326, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1324","layer":3},{"info":"compute binary expreesion, left_input=10864, right_input=1324, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-21972","layer":2},{"info":"number node, value=5548","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=5548, right_input=1251, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=3043","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=2750, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21972, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇉-⫰(⋰*⋻1339≄⊠⋰*⋻32A8))⪣⫩)⪉⨛⋰*⋻4099⪒⊣⊆⋰*⋻3768⊢(⋰*⋻1872⩹⋰*⋻AA6)⫥∨⫟⋰*⋻4194⇡⇂⋰*⋻A38⊢(⋰*⋻2317⪇≇⋚⋰*⋻2080)=NaN","reverse_text":"NaN=((⇉-⫰(⋰*⋻1339≄⊠⋰*⋻32A8))⪣⫩)⪉⨛⋰*⋻4099⪒⊣⊆⋰*⋻3768⊢(⋰*⋻1872⩹⋰*⋻AA6)⫥∨⫟⋰*⋻4194⇡⇂⋰*⋻A38⊢(⋰*⋻2317⪇≇⋚⋰*⋻2080)","cot":[{"info":"⋰*⋻1339≄⊠⋰*⋻32A8=⋰*⋻50920","layer":3},{"info":"⇉-⫰⋰*⋻50920=⋰*⋻19","layer":2},{"info":"⋰*⋻19⪣⫩=⋰*⋻760","layer":1},{"info":"⋰*⋻4099⪒⊣⊆⋰*⋻3768=⋰*⋻8187","layer":3},{"info":"⋰*⋻1872⩹⋰*⋻AA6=⋰*⋻AA4","layer":3},{"info":"⋰*⋻8187⊢⋰*⋻AA4=⋰*⋻-15565","layer":2},{"info":"⋰*⋻4194⇡⇂⋰*⋻A38=NaN","layer":3},{"info":"⋰*⋻2317⪇≇⋚⋰*⋻2080=⋰*⋻0","layer":3},{"info":"NaN⊢⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻-15565⫥∨⫟NaN=NaN","layer":1},{"info":"⋰*⋻760⪉⨛NaN=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"⊬↢(($1810$⇉⇉)⪔($7268$⨑≵⋬$1052$)≭((⩦⩻⨪$4462$)⊢))","expression":"⊬↢((⋰*⋻13A6⇉⇉)⪔(⋰*⋻5508⨑≵⋬⋰*⋻877)≭((⩦⩻⨪⋰*⋻3397)⊢))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30574,"operation_count":7,"complexity_ratio":4367.714285714285,"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":1810,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":7268,"base":11},"right_expr":{"type":"numeric_atoms","value":1052,"base":11}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4462,"base":11}}}}},"used_operators":["WPoGxAaPR1","rxpJgHHUmx","GjBEYRfMaF","diKm42VcIt","XnXgA4xnOs","40aOVDgCDB","2td37pGCOC"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","AHs5Up7iyr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1810","layer":4},{"info":"compute unary expreesion, input=1810, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-108336","layer":3},{"info":"number node, value=7268","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=7268, right_input=1052, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=30355","layer":3},{"info":"compute binary expreesion, left_input=-108336, right_input=30355, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=4462","layer":4},{"info":"compute unary expreesion, input=4462, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4462","layer":3},{"info":"compute unary expreesion, input=4462, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-4709","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-4709, 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 = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊬↢((⋰*⋻13A6⇉⇉)⪔(⋰*⋻5508⨑≵⋬⋰*⋻877)≭((⩦⩻⨪⋰*⋻3397)⊢))=NaN","reverse_text":"NaN=⊬↢((⋰*⋻13A6⇉⇉)⪔(⋰*⋻5508⨑≵⋬⋰*⋻877)≭((⩦⩻⨪⋰*⋻3397)⊢))","cot":[{"info":"⋰*⋻13A6⇉⇉=⋰*⋻-74438","layer":3},{"info":"⋰*⋻5508⨑≵⋬⋰*⋻877=⋰*⋻20896","layer":3},{"info":"⋰*⋻-74438⪔⋰*⋻20896=⋰*⋻37A","layer":2},{"info":"⩦⩻⨪⋰*⋻3397=⋰*⋻3397","layer":3},{"info":"⋰*⋻3397⊢=⋰*⋻-35A1","layer":2},{"info":"⋰*⋻37A≭⋰*⋻-35A1=NaN","layer":1},{"info":"⊬↢NaN=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"((≻⋜$2190$)⫘($3142$⨽$7890$))≎⪠(($2583$+⇶⊼$4461$)⩍⋽⫝̸($1008$∁))⊴((≔$7467$)⩖⊿($1760$-$5536$)≥⨤⩑($1809$↫)↼⊘⨖($3572$⫌⩉⩟$8365$))","expression":"((≻⋜⋰*⋻1711)⫘(⋰*⋻23A7⨽⋰*⋻5A23))≎⪠((⋰*⋻1A39+⇶⊼⋰*⋻3396)⩍⋽⫝̸(⋰*⋻837∁))⊴((≔⋰*⋻5679)⩖⊿(⋰*⋻1360-⋰*⋻4183)≥⨤⩑(⋰*⋻13A5↫)↼⊘⨖(⋰*⋻2758⫌⩉⩟⋰*⋻6315))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":125683,"operation_count":15,"complexity_ratio":8378.866666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2190,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3142,"base":11},"right_expr":{"type":"numeric_atoms","value":7890,"base":11}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2583,"base":11},"right_expr":{"type":"numeric_atoms","value":4461,"base":11}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1008,"base":11}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":7467,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1760,"base":11},"right_expr":{"type":"numeric_atoms","value":5536,"base":11}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1809,"base":11}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3572,"base":11},"right_expr":{"type":"numeric_atoms","value":8365,"base":11}}}}},"used_operators":["Nsiff2A1zJ","aNhz54LH3e","48vC8HMD2b","3tj9sqzovi","8HhzD0ZcuI","BiWNJpBvwn","TpPTUOHfaN","jdwGQqwJi5","gJLn6v0xnP","RZ5CV9rWsJ","8FLs4eVsLt","rysDP5nf3Z","bPywburJMS","uPb5QRN0te","XIIwhv8d0m"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Ph9nP6C5qx","xUOZtlo3hN","AHs5Up7iyr","2DDjHMKMc0","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2190","layer":4},{"info":"compute unary expreesion, input=2190, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=3142","layer":4},{"info":"number node, value=7890","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=7890, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-29638848","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-29638848, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"number node, value=2583","layer":4},{"info":"number node, value=4461","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=4461, 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=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1008","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1008, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=62","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=62, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=7467","layer":4},{"info":"compute unary expreesion, input=7467, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-207782","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=5536","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=5536, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3776","layer":3},{"info":"compute binary expreesion, left_input=-207782, right_input=-3776, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=9466","layer":2},{"info":"number node, value=1809","layer":4},{"info":"compute unary expreesion, input=1809, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=3572","layer":4},{"info":"number node, value=8365","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=8365, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-50, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-322","layer":2},{"info":"compute binary expreesion, left_input=9466, right_input=-322, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=18932","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=18932, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≻⋜⋰*⋻1711)⫘(⋰*⋻23A7⨽⋰*⋻5A23))≎⪠((⋰*⋻1A39+⇶⊼⋰*⋻3396)⩍⋽⫝̸(⋰*⋻837∁))⊴((≔⋰*⋻5679)⩖⊿(⋰*⋻1360-⋰*⋻4183)≥⨤⩑(⋰*⋻13A5↫)↼⊘⨖(⋰*⋻2758⫌⩉⩟⋰*⋻6315))=NaN","reverse_text":"NaN=((≻⋜⋰*⋻1711)⫘(⋰*⋻23A7⨽⋰*⋻5A23))≎⪠((⋰*⋻1A39+⇶⊼⋰*⋻3396)⩍⋽⫝̸(⋰*⋻837∁))⊴((≔⋰*⋻5679)⩖⊿(⋰*⋻1360-⋰*⋻4183)≥⨤⩑(⋰*⋻13A5↫)↼⊘⨖(⋰*⋻2758⫌⩉⩟⋰*⋻6315))","cot":[{"info":"≻⋜⋰*⋻1711=NaN","layer":3},{"info":"⋰*⋻23A7⨽⋰*⋻5A23=⋰*⋻-15804118","layer":3},{"info":"NaN⫘⋰*⋻-15804118=NaN","layer":2},{"info":"⋰*⋻1A39+⇶⊼⋰*⋻3396=NaN","layer":3},{"info":"⋰*⋻837∁=⋰*⋻837","layer":3},{"info":"NaN⩍⋽⫝̸⋰*⋻837=⋰*⋻57","layer":2},{"info":"NaN≎⪠⋰*⋻57=⋰*⋻13770","layer":1},{"info":"≔⋰*⋻5679=⋰*⋻-132123","layer":3},{"info":"⋰*⋻1360-⋰*⋻4183=⋰*⋻-2923","layer":3},{"info":"⋰*⋻-132123⩖⊿⋰*⋻-2923=⋰*⋻7126","layer":2},{"info":"⋰*⋻13A5↫=⋰*⋻136","layer":3},{"info":"⋰*⋻2758⫌⩉⩟⋰*⋻6315=⋰*⋻-46","layer":3},{"info":"⋰*⋻136↼⊘⨖⋰*⋻-46=⋰*⋻-273","layer":2},{"info":"⋰*⋻7126≥⨤⩑⋰*⋻-273=⋰*⋻13251","layer":1},{"info":"⋰*⋻13770⊴⋰*⋻13251=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"(⊤⊝($2421$⪣⫩))↺($1545$⊋$4263$)↞⋁($3778$≠≀$2458$)⪬∳","expression":"(⊤⊝(⋰*⋻1901⪣⫩))↺(⋰*⋻1185⊋⋰*⋻3226)↞⋁(⋰*⋻2925≠≀⋰*⋻1935)⪬∳","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5475,"operation_count":7,"complexity_ratio":782.1428571428571,"tree":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2421,"base":11}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1545,"base":11},"right_expr":{"type":"numeric_atoms","value":4263,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3778,"base":11},"right_expr":{"type":"numeric_atoms","value":2458,"base":11}}}}},"used_operators":["O9U3z1385E","7j4O788W3g","rXAclfmB4M","iuk5sVOGFA","RqrPlJkxDo","W4tP9CfskL","IwW236VD4Y"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2421","layer":4},{"info":"compute unary expreesion, input=2421, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=7230","layer":3},{"info":"compute unary expreesion, input=7230, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=13162","layer":2},{"info":"number node, value=1545","layer":4},{"info":"number node, value=4263","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=4263, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-89639340","layer":3},{"info":"number node, value=3778","layer":4},{"info":"number node, value=2458","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=2458, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-7250","layer":3},{"info":"compute binary expreesion, left_input=-89639340, right_input=-7250, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-89639340","layer":2},{"info":"compute binary expreesion, left_input=13162, right_input=-89639340, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-89639340","layer":1},{"info":"compute unary expreesion, input=-89639340, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊤⊝(⋰*⋻1901⪣⫩))↺(⋰*⋻1185⊋⋰*⋻3226)↞⋁(⋰*⋻2925≠≀⋰*⋻1935)⪬∳=NaN","reverse_text":"NaN=(⊤⊝(⋰*⋻1901⪣⫩))↺(⋰*⋻1185⊋⋰*⋻3226)↞⋁(⋰*⋻2925≠≀⋰*⋻1935)⪬∳","cot":[{"info":"⋰*⋻1901⪣⫩=⋰*⋻5483","layer":3},{"info":"⊤⊝⋰*⋻5483=⋰*⋻9986","layer":2},{"info":"⋰*⋻1185⊋⋰*⋻3226=⋰*⋻-466653AA","layer":3},{"info":"⋰*⋻2925≠≀⋰*⋻1935=⋰*⋻-54A1","layer":3},{"info":"⋰*⋻-466653AA↞⋁⋰*⋻-54A1=⋰*⋻-466653AA","layer":2},{"info":"⋰*⋻9986↺⋰*⋻-466653AA=⋰*⋻-466653AA","layer":1},{"info":"⋰*⋻-466653AA⪬∳=NaN","layer":0}]}
{"id":395,"expression_no_base_symbol":"(≇⪴($1757$↺$1801$)∘(⊁⨺$5751$))⩵∡(≘($1615$⩎⪣⊞))⨫⇇↔($3507$∥⊢⊲$1843$)⊕∕(⇙⪊$5331$)","expression":"(≇⪴(⋰*⋻1358↺⋰*⋻1398)∘(⊁⨺⋰*⋻4359))⩵∡(≘(⋰*⋻1239⩎⪣⊞))⨫⇇↔(⋰*⋻26A9∥⊢⊲⋰*⋻1426)⊕∕(⇙⪊⋰*⋻4007)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22884,"operation_count":11,"complexity_ratio":2080.3636363636365,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1757,"base":11},"right_expr":{"type":"numeric_atoms","value":1801,"base":11}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":5751,"base":11}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":1615,"base":11}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3507,"base":11},"right_expr":{"type":"numeric_atoms","value":1843,"base":11}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":5331,"base":11}}}}},"used_operators":["Y7wcNGrDQJ","zoVPnxeHJ3","Z5m6OM72h2","7j4O788W3g","PxiHyQbrIp","LXhwmt4mBO","tcjXMdvYtA","waWucp1uQ4","9cloC0Ngie","v1UQAVDJRr","pB6Fcnrjim"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","mp7IySMOzn","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","EBcxylXtPf","rGHVDoGpnC","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"⋰*⋻11363","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1757","layer":4},{"info":"number node, value=1801","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1801, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1801","layer":3},{"info":"number node, value=5751","layer":4},{"info":"compute unary expreesion, input=5751, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1801, right_input=160, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-1421","layer":2},{"info":"compute unary expreesion, input=-1421, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5684","layer":1},{"info":"number node, value=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=3230","layer":3},{"info":"compute unary expreesion, input=3230, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=7122934","layer":2},{"info":"number node, value=3507","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=1843, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=5331","layer":4},{"info":"compute unary expreesion, input=5331, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7122934, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-5684, right_input=-527, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=16404","layer":0}],"base":11,"result_base":11,"text":"(≇⪴(⋰*⋻1358↺⋰*⋻1398)∘(⊁⨺⋰*⋻4359))⩵∡(≘(⋰*⋻1239⩎⪣⊞))⨫⇇↔(⋰*⋻26A9∥⊢⊲⋰*⋻1426)⊕∕(⇙⪊⋰*⋻4007)=⋰*⋻11363","reverse_text":"⋰*⋻11363=(≇⪴(⋰*⋻1358↺⋰*⋻1398)∘(⊁⨺⋰*⋻4359))⩵∡(≘(⋰*⋻1239⩎⪣⊞))⨫⇇↔(⋰*⋻26A9∥⊢⊲⋰*⋻1426)⊕∕(⇙⪊⋰*⋻4007)","cot":[{"info":"⋰*⋻1358↺⋰*⋻1398=⋰*⋻1398","layer":3},{"info":"⊁⨺⋰*⋻4359=⋰*⋻136","layer":3},{"info":"⋰*⋻1398∘⋰*⋻136=⋰*⋻-1082","layer":2},{"info":"≇⪴⋰*⋻-1082=⋰*⋻-42A8","layer":1},{"info":"⋰*⋻1239⩎⪣⊞=⋰*⋻2477","layer":3},{"info":"≘⋰*⋻2477=⋰*⋻4025625","layer":2},{"info":"⋰*⋻26A9∥⊢⊲⋰*⋻1426=NaN","layer":3},{"info":"⇙⪊⋰*⋻4007=⋰*⋻0","layer":3},{"info":"NaN⊕∕⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻4025625⨫⇇↔NaN=⋰*⋻-43A","layer":1},{"info":"⋰*⋻-42A8⩵∡⋰*⋻-43A=⋰*⋻11363","layer":0}]}
{"id":396,"expression_no_base_symbol":"(↥≼⋛$1355$⋕⪉⪜$1315$)⋅⇍$3358$⪥$5687$⩧⪆($6169$⊟⇱)⪁($4703$⋳⪒$3753$⫚↹⊑$2671$⪬$5124$)≠≀(≯$4671$)⩌⋺($4004$⨻⩈⩔$3075$)","expression":"(↥≼⋛⋰*⋻1022⋕⪉⪜⋰*⋻A96)⋅⇍⋰*⋻2583⪥⋰*⋻4300⩧⪆(⋰*⋻46A9⊟⇱)⪁(⋰*⋻3596⋳⪒⋰*⋻2902⫚↹⊑⋰*⋻2009⪬⋰*⋻3939)≠≀(≯⋰*⋻3567)⩌⋺(⋰*⋻3010⨻⩈⩔⋰*⋻2346)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25372,"operation_count":14,"complexity_ratio":1812.2857142857142,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1355,"base":11},"right_expr":{"type":"numeric_atoms","value":1315,"base":11}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3358,"base":11},"right_expr":{"type":"numeric_atoms","value":5687,"base":11}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":6169,"base":11}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4703,"base":11},"right_expr":{"type":"numeric_atoms","value":3753,"base":11}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2671,"base":11},"right_expr":{"type":"numeric_atoms","value":5124,"base":11}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":4671,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4004,"base":11},"right_expr":{"type":"numeric_atoms","value":3075,"base":11}}}}},"used_operators":["I7sXao9hZE","AdZkA7nFnk","x5lMkHmzsq","z6LnFrNh4i","Ikt5ks8PT7","QbnwKVWMIQ","03sUfWo75k","IwW236VD4Y","dfKe02y8D2","12rbrZMWeM","Ez1Nq5fNfI","g7Hmc5v1ko","keWfFq85dY","nEsXyWgiOK"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eewbuw0ToL","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","IWmyXbctLI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1315, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=3358","layer":4},{"info":"number node, value=5687","layer":4},{"info":"compute binary expreesion, left_input=3358, right_input=5687, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=18084","layer":3},{"info":"number node, value=6169","layer":4},{"info":"compute unary expreesion, input=6169, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=12654","layer":3},{"info":"compute binary expreesion, left_input=18084, right_input=12654, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-12654","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=-12654, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-460","layer":1},{"info":"number node, value=4703","layer":4},{"info":"number node, value=3753","layer":4},{"info":"compute binary expreesion, left_input=4703, right_input=3753, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5366","layer":3},{"info":"number node, value=2671","layer":4},{"info":"number node, value=5124","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=5124, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=5366, right_input=1234, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=4671","layer":4},{"info":"compute unary expreesion, input=4671, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4004","layer":4},{"info":"number node, value=3075","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=3075, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=23631","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=23631, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-23752","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-23752, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=24078","layer":1},{"info":"compute binary expreesion, left_input=-460, right_input=24078, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↥≼⋛⋰*⋻1022⋕⪉⪜⋰*⋻A96)⋅⇍⋰*⋻2583⪥⋰*⋻4300⩧⪆(⋰*⋻46A9⊟⇱)⪁(⋰*⋻3596⋳⪒⋰*⋻2902⫚↹⊑⋰*⋻2009⪬⋰*⋻3939)≠≀(≯⋰*⋻3567)⩌⋺(⋰*⋻3010⨻⩈⩔⋰*⋻2346)=NaN","reverse_text":"NaN=(↥≼⋛⋰*⋻1022⋕⪉⪜⋰*⋻A96)⋅⇍⋰*⋻2583⪥⋰*⋻4300⩧⪆(⋰*⋻46A9⊟⇱)⪁(⋰*⋻3596⋳⪒⋰*⋻2902⫚↹⊑⋰*⋻2009⪬⋰*⋻3939)≠≀(≯⋰*⋻3567)⩌⋺(⋰*⋻3010⨻⩈⩔⋰*⋻2346)","cot":[{"info":"⋰*⋻1022⋕⪉⪜⋰*⋻A96=⋰*⋻2118","layer":3},{"info":"↥≼⋛⋰*⋻2118=⋰*⋻-A3","layer":2},{"info":"⋰*⋻2583⪥⋰*⋻4300=⋰*⋻12650","layer":3},{"info":"⋰*⋻46A9⊟⇱=⋰*⋻9564","layer":3},{"info":"⋰*⋻12650⩧⪆⋰*⋻9564=⋰*⋻-9564","layer":2},{"info":"⋰*⋻-A3⋅⇍⋰*⋻-9564=⋰*⋻-389","layer":1},{"info":"⋰*⋻3596⋳⪒⋰*⋻2902=⋰*⋻4039","layer":3},{"info":"⋰*⋻2009⪬⋰*⋻3939=⋰*⋻A22","layer":3},{"info":"⋰*⋻4039⫚↹⊑⋰*⋻A22=⋰*⋻-377","layer":2},{"info":"≯⋰*⋻3567=⋰*⋻0","layer":3},{"info":"⋰*⋻3010⨻⩈⩔⋰*⋻2346=⋰*⋻16833","layer":3},{"info":"⋰*⋻0⩌⋺⋰*⋻16833=⋰*⋻-16933","layer":2},{"info":"⋰*⋻-377≠≀⋰*⋻-16933=⋰*⋻170AA","layer":1},{"info":"⋰*⋻-389⪁⋰*⋻170AA=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"(($3525$≓∲$1569$)⪍↜⋙(⪭⩑⪱$2311$)⫦⪉(⪫⨮⊛(⨵$6951$)))⨪↰⇹(((⩰$1483$)⫔⩽⩺(⊄⩳↩$2023$))∝(≇⪴$1010$)∝$1238$⪇≇⋚$1350$)","expression":"((⋰*⋻2715≓∲⋰*⋻11A7)⪍↜⋙(⪭⩑⪱⋰*⋻1811)⫦⪉(⪫⨮⊛(⨵⋰*⋻524A)))⨪↰⇹(((⩰⋰*⋻1129)⫔⩽⩺(⊄⩳↩⋰*⋻157A))∝(≇⪴⋰*⋻839)∝⋰*⋻A26⪇≇⋚⋰*⋻1018)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1110442,"operation_count":14,"complexity_ratio":79317.28571428571,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3525,"base":11},"right_expr":{"type":"numeric_atoms","value":1569,"base":11}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2311,"base":11}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":6951,"base":11}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1483,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2023,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1010,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1238,"base":11},"right_expr":{"type":"numeric_atoms","value":1350,"base":11}}}}},"used_operators":["tmPS8pqC7x","wscyQdcy20","L05ObWFQCd","s1XTVnmDOJ","SIgE0bArFf","w5FWba1tyO","Tl3Y52tvF8","cTDWOvIxvz","i9eR4S00cU","WkeUrDK8WX","8w2t5hMYqp","zoVPnxeHJ3","3sJ7IOPOlU"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3525","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=1569, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=36033","layer":3},{"info":"number node, value=2311","layer":4},{"info":"compute unary expreesion, input=2311, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=36033, right_input=8320752, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-16822452","layer":2},{"info":"number node, value=6951","layer":4},{"info":"compute unary expreesion, input=6951, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-56817","layer":3},{"info":"compute unary expreesion, input=-56817, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-16822452, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=33648742","layer":1},{"info":"number node, value=1483","layer":4},{"info":"compute unary expreesion, input=1483, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2483","layer":3},{"info":"number node, value=2023","layer":4},{"info":"compute unary expreesion, input=2023, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6069","layer":3},{"info":"compute binary expreesion, left_input=-2483, right_input=-6069, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1690","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1350, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1690, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-1685","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1685, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=33648742, 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":11,"result_base":11,"text":"((⋰*⋻2715≓∲⋰*⋻11A7)⪍↜⋙(⪭⩑⪱⋰*⋻1811)⫦⪉(⪫⨮⊛(⨵⋰*⋻524A)))⨪↰⇹(((⩰⋰*⋻1129)⫔⩽⩺(⊄⩳↩⋰*⋻157A))∝(≇⪴⋰*⋻839)∝⋰*⋻A26⪇≇⋚⋰*⋻1018)=NaN","reverse_text":"NaN=((⋰*⋻2715≓∲⋰*⋻11A7)⪍↜⋙(⪭⩑⪱⋰*⋻1811)⫦⪉(⪫⨮⊛(⨵⋰*⋻524A)))⨪↰⇹(((⩰⋰*⋻1129)⫔⩽⩺(⊄⩳↩⋰*⋻157A))∝(≇⪴⋰*⋻839)∝⋰*⋻A26⪇≇⋚⋰*⋻1018)","cot":[{"info":"⋰*⋻2715≓∲⋰*⋻11A7=⋰*⋻25088","layer":3},{"info":"⪭⩑⪱⋰*⋻1811=⋰*⋻4773560","layer":3},{"info":"⋰*⋻25088⪍↜⋙⋰*⋻4773560=⋰*⋻-954AA59","layer":2},{"info":"⨵⋰*⋻524A=⋰*⋻-39762","layer":3},{"info":"⪫⨮⊛⋰*⋻-39762=NaN","layer":2},{"info":"⋰*⋻-954AA59⫦⪉NaN=⋰*⋻17AA2886","layer":1},{"info":"⩰⋰*⋻1129=⋰*⋻-1958","layer":3},{"info":"⊄⩳↩⋰*⋻157A=⋰*⋻-4618","layer":3},{"info":"⋰*⋻-1958⫔⩽⩺⋰*⋻-4618=NaN","layer":2},{"info":"≇⪴⋰*⋻839=⋰*⋻-12A7","layer":3},{"info":"⋰*⋻A26⪇≇⋚⋰*⋻1018=⋰*⋻0","layer":3},{"info":"⋰*⋻-12A7∝⋰*⋻0=⋰*⋻-12A2","layer":2},{"info":"NaN∝⋰*⋻-12A2=NaN","layer":1},{"info":"⋰*⋻17AA2886⨪↰⇹NaN=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"$1491$⪥$2647$⪭≯$7575$⫒⫫$2950$+⇶⊼(⪛⨧$7072$)⋕⪉⪜($4178$≚⊃≕$5294$)⪓⨏","expression":"⋰*⋻1136⪥⋰*⋻1A97⪭≯⋰*⋻5767⫒⫫⋰*⋻2242+⇶⊼(⪛⨧⋰*⋻534A)⋕⪉⪜(⋰*⋻3159≚⊃≕⋰*⋻3A83)⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":433,"operation_count":8,"complexity_ratio":54.125,"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":1491,"base":11},"right_expr":{"type":"numeric_atoms","value":2647,"base":11}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":7575,"base":11},"right_expr":{"type":"numeric_atoms","value":2950,"base":11}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":7072,"base":11}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4178,"base":11},"right_expr":{"type":"numeric_atoms","value":5294,"base":11}}}}},"used_operators":["4X9JU4Jbn6","TpPTUOHfaN","XAx5wpdLa6","QbnwKVWMIQ","6Ko8hGgeMq","z6LnFrNh4i","6NJAcO2OWT","Bmrmz2XGnR"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","AHs5Up7iyr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1491","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=2647, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10616","layer":3},{"info":"number node, value=7575","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=7575, right_input=2950, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10616, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=7072","layer":4},{"info":"compute unary expreesion, input=7072, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=15545","layer":3},{"info":"number node, value=4178","layer":4},{"info":"number node, value=5294","layer":4},{"info":"compute binary expreesion, left_input=4178, right_input=5294, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=15545, right_input=67, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2802, 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 = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1136⪥⋰*⋻1A97⪭≯⋰*⋻5767⫒⫫⋰*⋻2242+⇶⊼(⪛⨧⋰*⋻534A)⋕⪉⪜(⋰*⋻3159≚⊃≕⋰*⋻3A83)⪓⨏=NaN","reverse_text":"NaN=⋰*⋻1136⪥⋰*⋻1A97⪭≯⋰*⋻5767⫒⫫⋰*⋻2242+⇶⊼(⪛⨧⋰*⋻534A)⋕⪉⪜(⋰*⋻3159≚⊃≕⋰*⋻3A83)⪓⨏","cot":[{"info":"⋰*⋻1136⪥⋰*⋻1A97=⋰*⋻7A81","layer":3},{"info":"⋰*⋻5767⫒⫫⋰*⋻2242=NaN","layer":3},{"info":"⋰*⋻7A81⪭≯NaN=NaN","layer":2},{"info":"⪛⨧⋰*⋻534A=⋰*⋻10752","layer":3},{"info":"⋰*⋻3159≚⊃≕⋰*⋻3A83=⋰*⋻61","layer":3},{"info":"⋰*⋻10752⋕⪉⪜⋰*⋻61=⋰*⋻2118","layer":2},{"info":"NaN+⇶⊼⋰*⋻2118=NaN","layer":1},{"info":"NaN⪓⨏=NaN","layer":0}]}
{"id":399,"expression_no_base_symbol":"($2813$⋛$1200$⪢(↥≼⋛$1155$))∛($3247$∑⇟⊟$2060$)∳⫺($1827$↫)≭(⇈($7300$≀⫉$2648$))⇴($6819$≳⇉$2439$)⨚⇆($4502$⋷$1507$)","expression":"(⋰*⋻2128⋛⋰*⋻9A1⪢(↥≼⋛⋰*⋻960))∛(⋰*⋻2492∑⇟⊟⋰*⋻1603)∳⫺(⋰*⋻1411↫)≭(⇈(⋰*⋻5537≀⫉⋰*⋻1A98))⇴(⋰*⋻513A≳⇉⋰*⋻1918)⨚⇆(⋰*⋻3423⋷⋰*⋻1150)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":90585304,"operation_count":14,"complexity_ratio":6470378.857142857,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2813,"base":11},"right_expr":{"type":"numeric_atoms","value":1200,"base":11}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1155,"base":11}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3247,"base":11},"right_expr":{"type":"numeric_atoms","value":2060,"base":11}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1827,"base":11}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":7300,"base":11},"right_expr":{"type":"numeric_atoms","value":2648,"base":11}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6819,"base":11},"right_expr":{"type":"numeric_atoms","value":2439,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4502,"base":11},"right_expr":{"type":"numeric_atoms","value":1507,"base":11}}}}},"used_operators":["rxpJgHHUmx","w2537kitQq","dWAJyo7jo9","YbUVn0Rbpy","x5lMkHmzsq","AzXXKTstlj","U7g4x0WXJJ","uPb5QRN0te","4JB6nKBMSY","SLLxy00UIr","oZj3VtZNQx","lwHaAYXP2r","V0kx6qeWkN","23Mk6UjR3U"],"dependent_operators":["AHs5Up7iyr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","k8jYdgA6NY","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2813","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=2813, right_input=1200, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-106875","layer":3},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=-106875, right_input=-113, 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=3247","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=3247, right_input=2060, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=7300","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=7300, right_input=2648, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=6819","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=6819, right_input=2439, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=4502","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=4502, right_input=1507, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1488","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1488, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":11,"result_base":11,"text":"(⋰*⋻2128⋛⋰*⋻9A1⪢(↥≼⋛⋰*⋻960))∛(⋰*⋻2492∑⇟⊟⋰*⋻1603)∳⫺(⋰*⋻1411↫)≭(⇈(⋰*⋻5537≀⫉⋰*⋻1A98))⇴(⋰*⋻513A≳⇉⋰*⋻1918)⨚⇆(⋰*⋻3423⋷⋰*⋻1150)=NaN","reverse_text":"NaN=(⋰*⋻2128⋛⋰*⋻9A1⪢(↥≼⋛⋰*⋻960))∛(⋰*⋻2492∑⇟⊟⋰*⋻1603)∳⫺(⋰*⋻1411↫)≭(⇈(⋰*⋻5537≀⫉⋰*⋻1A98))⇴(⋰*⋻513A≳⇉⋰*⋻1918)⨚⇆(⋰*⋻3423⋷⋰*⋻1150)","cot":[{"info":"⋰*⋻2128⋛⋰*⋻9A1=⋰*⋻-7332A","layer":3},{"info":"↥≼⋛⋰*⋻960=⋰*⋻-A3","layer":3},{"info":"⋰*⋻-7332A⪢⋰*⋻-A3=NaN","layer":2},{"info":"⋰*⋻2492∑⇟⊟⋰*⋻1603=NaN","layer":3},{"info":"⋰*⋻1411↫=⋰*⋻136","layer":3},{"info":"NaN∳⫺⋰*⋻136=⋰*⋻-217","layer":2},{"info":"NaN∛⋰*⋻-217=⋰*⋻61","layer":1},{"info":"⋰*⋻5537≀⫉⋰*⋻1A98=⋰*⋻2136","layer":3},{"info":"⇈⋰*⋻2136=⋰*⋻-377","layer":2},{"info":"⋰*⋻513A≳⇉⋰*⋻1918=NaN","layer":3},{"info":"⋰*⋻3423⋷⋰*⋻1150=⋰*⋻-1133","layer":3},{"info":"NaN⨚⇆⋰*⋻-1133=NaN","layer":2},{"info":"⋰*⋻-377⇴NaN=NaN","layer":1},{"info":"⋰*⋻61≭NaN=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"(+⊝⨔($9204$∝$1411$)≴⪞⇿($1780$≬⇓$1045$))⊾⪯⋞(⪫⨮⊛(∂$5762$⨐$6001$))","expression":"(+⊝⨔(⋰*⋻6A08∝⋰*⋻1073)≴⪞⇿(⋰*⋻1379≬⇓⋰*⋻870))⊾⪯⋞(⪫⨮⊛(∂⋰*⋻4369⨐⋰*⋻4566))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3425801,"operation_count":8,"complexity_ratio":428225.125,"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":9204,"base":11},"right_expr":{"type":"numeric_atoms","value":1411,"base":11}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1780,"base":11},"right_expr":{"type":"numeric_atoms","value":1045,"base":11}}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5762,"base":11},"right_expr":{"type":"numeric_atoms","value":6001,"base":11}}}}},"used_operators":["HK0tfVPux8","DhbWaqg5eL","lvlrscuwVU","cTDWOvIxvz","jWTQ2TZYIH","w5FWba1tyO","Uaa54Peajs","Noe24qw2ks"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","7j4O788W3g","W4YGzv6Whe","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9204","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=9204, right_input=1411, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=9209","layer":3},{"info":"number node, value=1780","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=1045, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=9209, right_input=-22, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=159692111","layer":2},{"info":"compute unary expreesion, input=159692111, 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=5762","layer":4},{"info":"number node, value=6001","layer":4},{"info":"compute binary expreesion, left_input=5762, right_input=6001, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-11524","layer":3},{"info":"compute unary expreesion, input=-11524, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=11260","layer":2},{"info":"compute unary expreesion, input=11260, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(+⊝⨔(⋰*⋻6A08∝⋰*⋻1073)≴⪞⇿(⋰*⋻1379≬⇓⋰*⋻870))⊾⪯⋞(⪫⨮⊛(∂⋰*⋻4369⨐⋰*⋻4566))=NaN","reverse_text":"NaN=(+⊝⨔(⋰*⋻6A08∝⋰*⋻1073)≴⪞⇿(⋰*⋻1379≬⇓⋰*⋻870))⊾⪯⋞(⪫⨮⊛(∂⋰*⋻4369⨐⋰*⋻4566))","cot":[{"info":"⋰*⋻6A08∝⋰*⋻1073=⋰*⋻6A12","layer":3},{"info":"⋰*⋻1379≬⇓⋰*⋻870=⋰*⋻-20","layer":3},{"info":"⋰*⋻6A12≴⪞⇿⋰*⋻-20=⋰*⋻82162057","layer":2},{"info":"+⊝⨔⋰*⋻82162057=⋰*⋻1164","layer":1},{"info":"⋰*⋻4369⨐⋰*⋻4566=⋰*⋻-8727","layer":3},{"info":"∂⋰*⋻-8727=⋰*⋻8507","layer":2},{"info":"⪫⨮⊛⋰*⋻8507=NaN","layer":1},{"info":"⋰*⋻1164⊾⪯⋞NaN=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"($2852$⊋$8195$)⨸($4091$⫘$2290$)⇣⩺⋵((⊿$2090$)∁)⪁(⊊≼∋($5783$⨥⫆$2376$))∠↢$1066$≳⇉$7342$≎⊠⪸$2440$∀⇚≩$1179$","expression":"(⋰*⋻2163⊋⋰*⋻6180)⨸(⋰*⋻308A⫘⋰*⋻17A2)⇣⩺⋵((⊿⋰*⋻1630)∁)⪁(⊊≼∋(⋰*⋻4388⨥⫆⋰*⋻1870))∠↢⋰*⋻88A≳⇉⋰*⋻5575≎⊠⪸⋰*⋻1919∀⇚≩⋰*⋻982","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":38381318,"operation_count":13,"complexity_ratio":2952409.076923077,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2852,"base":11},"right_expr":{"type":"numeric_atoms","value":8195,"base":11}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4091,"base":11},"right_expr":{"type":"numeric_atoms","value":2290,"base":11}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":2090,"base":11}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5783,"base":11},"right_expr":{"type":"numeric_atoms","value":2376,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1066,"base":11},"right_expr":{"type":"numeric_atoms","value":7342,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2440,"base":11},"right_expr":{"type":"numeric_atoms","value":1179,"base":11}}}}},"used_operators":["I7sXao9hZE","F4yD0voBRQ","KmoU8R5UQR","W4tP9CfskL","48vC8HMD2b","jdwGQqwJi5","DO4fhlbJSI","KbjG8mgYpV","FWz7pXsQhA","yXekIHxTD4","bJkvcejdHO","V0kx6qeWkN","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","B5M0gjZbta","jCPkEVoL5K","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2852","layer":4},{"info":"number node, value=8195","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=8195, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-344314464","layer":3},{"info":"number node, value=4091","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=2290, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4815421","layer":3},{"info":"compute binary expreesion, left_input=-344314464, right_input=4815421, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=2090","layer":4},{"info":"compute unary expreesion, input=2090, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-9098","layer":3},{"info":"compute unary expreesion, input=-9098, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-9098","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9098, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=5783","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=5783, right_input=2376, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4628","layer":3},{"info":"compute unary expreesion, input=4628, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=7342","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=7342, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=2440","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=1179, 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 = 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=-447, right_input=67, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=1932","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=1932, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2163⊋⋰*⋻6180)⨸(⋰*⋻308A⫘⋰*⋻17A2)⇣⩺⋵((⊿⋰*⋻1630)∁)⪁(⊊≼∋(⋰*⋻4388⨥⫆⋰*⋻1870))∠↢⋰*⋻88A≳⇉⋰*⋻5575≎⊠⪸⋰*⋻1919∀⇚≩⋰*⋻982=NaN","reverse_text":"NaN=(⋰*⋻2163⊋⋰*⋻6180)⨸(⋰*⋻308A⫘⋰*⋻17A2)⇣⩺⋵((⊿⋰*⋻1630)∁)⪁(⊊≼∋(⋰*⋻4388⨥⫆⋰*⋻1870))∠↢⋰*⋻88A≳⇉⋰*⋻5575≎⊠⪸⋰*⋻1919∀⇚≩⋰*⋻982","cot":[{"info":"⋰*⋻2163⊋⋰*⋻6180=⋰*⋻-1673A160A","layer":3},{"info":"⋰*⋻308A⫘⋰*⋻17A2=⋰*⋻2799996","layer":3},{"info":"⋰*⋻-1673A160A⨸⋰*⋻2799996=NaN","layer":2},{"info":"⊿⋰*⋻1630=⋰*⋻-6921","layer":3},{"info":"⋰*⋻-6921∁=⋰*⋻-6921","layer":2},{"info":"NaN⇣⩺⋵⋰*⋻-6921=⋰*⋻-217","layer":1},{"info":"⋰*⋻4388⨥⫆⋰*⋻1870=⋰*⋻3528","layer":3},{"info":"⊊≼∋⋰*⋻3528=⋰*⋻-377","layer":2},{"info":"⋰*⋻88A≳⇉⋰*⋻5575=NaN","layer":3},{"info":"⋰*⋻1919∀⇚≩⋰*⋻982=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"⋰*⋻-377∠↢⋰*⋻61=⋰*⋻14A7","layer":1},{"info":"⋰*⋻-217⪁⋰*⋻14A7=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"⇋⊎⋝(($1688$⨽∌$1477$≨($1523$⨚$5678$))⋕⪉⪜($1266$⫲≸⪮$1004$)⇡⇂($5632$/$1478$))","expression":"⇋⊎⋝((⋰*⋻12A5⨽∌⋰*⋻1123≨(⋰*⋻1165⨚⋰*⋻42A2))⋕⪉⪜(⋰*⋻A51⫲≸⪮⋰*⋻833)⇡⇂(⋰*⋻4260/⋰*⋻1124))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3160,"operation_count":8,"complexity_ratio":395.0,"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":1688,"base":11},"right_expr":{"type":"numeric_atoms","value":1477,"base":11}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1523,"base":11},"right_expr":{"type":"numeric_atoms","value":5678,"base":11}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1266,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5632,"base":11},"right_expr":{"type":"numeric_atoms","value":1478,"base":11}}}}},"used_operators":["CzM2PEoXns","z6LnFrNh4i","0KMCeP1Jsh","9samAPKr6k","nREPSIbpBE","UMwdvZNt44","P3lXMJvFrc","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"number node, value=1477","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1477, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=5678","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=5678, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18732","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-18732, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":2},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1004, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1266","layer":3},{"info":"number node, value=5632","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=1478, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=1266, right_input=3, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2476, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute unary expreesion, input=204, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇋⊎⋝((⋰*⋻12A5⨽∌⋰*⋻1123≨(⋰*⋻1165⨚⋰*⋻42A2))⋕⪉⪜(⋰*⋻A51⫲≸⪮⋰*⋻833)⇡⇂(⋰*⋻4260/⋰*⋻1124))=NaN","reverse_text":"NaN=⇋⊎⋝((⋰*⋻12A5⨽∌⋰*⋻1123≨(⋰*⋻1165⨚⋰*⋻42A2))⋕⪉⪜(⋰*⋻A51⫲≸⪮⋰*⋻833)⇡⇂(⋰*⋻4260/⋰*⋻1124))","cot":[{"info":"⋰*⋻12A5⨽∌⋰*⋻1123=⋰*⋻0","layer":3},{"info":"⋰*⋻1165⨚⋰*⋻42A2=⋰*⋻-1308A","layer":3},{"info":"⋰*⋻0≨⋰*⋻-1308A=⋰*⋻1951","layer":2},{"info":"⋰*⋻A51⫲≸⪮⋰*⋻833=⋰*⋻A51","layer":3},{"info":"⋰*⋻4260/⋰*⋻1124=⋰*⋻3","layer":3},{"info":"⋰*⋻A51⇡⇂⋰*⋻3=NaN","layer":2},{"info":"⋰*⋻1951⋕⪉⪜NaN=⋰*⋻176","layer":1},{"info":"⇋⊎⋝⋰*⋻176=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"(∨∊⋏($7534$⨻⩈⩔$1172$))⨜⨶($6725$≧⫂∧$4270$∠⫱($3461$⩘⨬⇊))⩚⊴⇥(≅≯⇸(⇋↷$3405$≴⪞⇿$6585$))","expression":"(∨∊⋏(⋰*⋻572A⨻⩈⩔⋰*⋻976))⨜⨶(⋰*⋻5064≧⫂∧⋰*⋻3232∠⫱(⋰*⋻2667⩘⨬⇊))⩚⊴⇥(≅≯⇸(⇋↷⋰*⋻2616≴⪞⇿⋰*⋻4A47))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8957,"operation_count":10,"complexity_ratio":895.7,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":7534,"base":11},"right_expr":{"type":"numeric_atoms","value":1172,"base":11}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6725,"base":11},"right_expr":{"type":"numeric_atoms","value":4270,"base":11}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":3461,"base":11}}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3405,"base":11},"right_expr":{"type":"numeric_atoms","value":6585,"base":11}}}}},"used_operators":["NTOWxs364D","HiPekx5b7W","R5aXW34M0v","nEsXyWgiOK","QvoQhV0rrE","Ph9nP6C5qx","XXmTpEpWTW","apS25hmuAe","SWo3A1KBJH","lvlrscuwVU"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","EBcxylXtPf","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7534","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=7534, right_input=1172, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=51871","layer":3},{"info":"compute unary expreesion, input=51871, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=1231703","layer":2},{"info":"number node, value=6725","layer":4},{"info":"number node, value=4270","layer":4},{"info":"compute binary expreesion, left_input=6725, right_input=4270, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3797","layer":3},{"info":"number node, value=3461","layer":4},{"info":"compute unary expreesion, input=3461, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3797, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1231703, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=3405","layer":4},{"info":"number node, value=6585","layer":4},{"info":"compute binary expreesion, left_input=3405, right_input=6585, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=19619082","layer":3},{"info":"compute unary expreesion, input=19619082, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=156952656","layer":2},{"info":"compute unary expreesion, input=156952656, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=627818301","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=627818301, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∨∊⋏(⋰*⋻572A⨻⩈⩔⋰*⋻976))⨜⨶(⋰*⋻5064≧⫂∧⋰*⋻3232∠⫱(⋰*⋻2667⩘⨬⇊))⩚⊴⇥(≅≯⇸(⇋↷⋰*⋻2616≴⪞⇿⋰*⋻4A47))=NaN","reverse_text":"NaN=(∨∊⋏(⋰*⋻572A⨻⩈⩔⋰*⋻976))⨜⨶(⋰*⋻5064≧⫂∧⋰*⋻3232∠⫱(⋰*⋻2667⩘⨬⇊))⩚⊴⇥(≅≯⇸(⇋↷⋰*⋻2616≴⪞⇿⋰*⋻4A47))","cot":[{"info":"⋰*⋻572A⨻⩈⩔⋰*⋻976=⋰*⋻35A76","layer":3},{"info":"∨∊⋏⋰*⋻35A76=⋰*⋻771440","layer":2},{"info":"⋰*⋻5064≧⫂∧⋰*⋻3232=⋰*⋻2942","layer":3},{"info":"⋰*⋻2667⩘⨬⇊=NaN","layer":3},{"info":"⋰*⋻2942∠⫱NaN=NaN","layer":2},{"info":"⋰*⋻771440⨜⨶NaN=NaN","layer":1},{"info":"⋰*⋻2616≴⪞⇿⋰*⋻4A47=⋰*⋻1009011A","layer":3},{"info":"⇋↷⋰*⋻1009011A=⋰*⋻80660943","layer":2},{"info":"≅≯⇸⋰*⋻80660943=⋰*⋻2A2429200","layer":1},{"info":"NaN⩚⊴⇥⋰*⋻2A2429200=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"(⨦⪝$4358$)⨿($5632$∪⫐$8686$)≒∊($2158$≁$3195$∈)⊹∫⫚(⨡↴$6827$⩇∃⫛$1979$)⨽∌(≸≮($2974$∋$7892$))","expression":"(⨦⪝⋰*⋻3302)⨿(⋰*⋻4260∪⫐⋰*⋻6587)≒∊(⋰*⋻1692≁⋰*⋻2445∈)⊹∫⫚(⨡↴⋰*⋻5147⩇∃⫛⋰*⋻153A)⨽∌(≸≮(⋰*⋻2264∋⋰*⋻5A25))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":240229,"operation_count":12,"complexity_ratio":20019.083333333332,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":4358,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5632,"base":11},"right_expr":{"type":"numeric_atoms","value":8686,"base":11}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2158,"base":11},"right_expr":{"type":"numeric_atoms","value":3195,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":6827,"base":11},"right_expr":{"type":"numeric_atoms","value":1979,"base":11}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2974,"base":11},"right_expr":{"type":"numeric_atoms","value":7892,"base":11}}}}},"used_operators":["uWAJUKEvyW","5KTvxBwnZo","abYXlopdE0","SUjycxNXIR","7YooWSwCyH","ztP7wcbY7m","8N2wDY1A35","9samAPKr6k","liw5iZPkLH","1aApVXNlOP","AljMvE3RRm","ukq6epAj5P"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","P8v4zCKN1o","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4358","layer":4},{"info":"compute unary expreesion, input=4358, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=5632","layer":4},{"info":"number node, value=8686","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=8686, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5632","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=5632, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=2158","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=3195, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=63479","layer":3},{"info":"compute unary expreesion, input=63479, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=189766","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=189766, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=417","layer":1},{"info":"number node, value=6827","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=6827, right_input=1979, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-4375","layer":3},{"info":"compute unary expreesion, input=-4375, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":2},{"info":"number node, value=2974","layer":4},{"info":"number node, value=7892","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=7892, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=16453200","layer":3},{"info":"compute unary expreesion, input=16453200, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=417, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨦⪝⋰*⋻3302)⨿(⋰*⋻4260∪⫐⋰*⋻6587)≒∊(⋰*⋻1692≁⋰*⋻2445∈)⊹∫⫚(⨡↴⋰*⋻5147⩇∃⫛⋰*⋻153A)⨽∌(≸≮(⋰*⋻2264∋⋰*⋻5A25))=NaN","reverse_text":"NaN=(⨦⪝⋰*⋻3302)⨿(⋰*⋻4260∪⫐⋰*⋻6587)≒∊(⋰*⋻1692≁⋰*⋻2445∈)⊹∫⫚(⨡↴⋰*⋻5147⩇∃⫛⋰*⋻153A)⨽∌(≸≮(⋰*⋻2264∋⋰*⋻5A25))","cot":[{"info":"⨦⪝⋰*⋻3302=⋰*⋻-1463","layer":3},{"info":"⋰*⋻4260∪⫐⋰*⋻6587=⋰*⋻4260","layer":3},{"info":"⋰*⋻-1463⨿⋰*⋻4260=⋰*⋻61","layer":2},{"info":"⋰*⋻1692≁⋰*⋻2445=⋰*⋻43769","layer":3},{"info":"⋰*⋻43769∈=⋰*⋻11A635","layer":2},{"info":"⋰*⋻61≒∊⋰*⋻11A635=⋰*⋻34A","layer":1},{"info":"⋰*⋻5147⩇∃⫛⋰*⋻153A=⋰*⋻-3318","layer":3},{"info":"⨡↴⋰*⋻-3318=⋰*⋻-50","layer":2},{"info":"⋰*⋻2264∋⋰*⋻5A25=⋰*⋻9318595","layer":3},{"info":"≸≮⋰*⋻9318595=NaN","layer":2},{"info":"⋰*⋻-50⨽∌NaN=NaN","layer":1},{"info":"⋰*⋻34A⊹∫⫚NaN=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"(≑⋹($3570$⨑≵⋬$1191$⊍⩺⋍($2981$⪨≂$1924$)))⊹∫⫚(⊙↵-($3012$∖$5753$)⩌⋺$1277$⩦$2592$)","expression":"(≑⋹(⋰*⋻2756⨑≵⋬⋰*⋻993⊍⩺⋍(⋰*⋻2270⪨≂⋰*⋻149A)))⊹∫⫚(⊙↵-(⋰*⋻2299∖⋰*⋻4360)⩌⋺⋰*⋻A61⩦⋰*⋻1A47)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3682,"operation_count":9,"complexity_ratio":409.1111111111111,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3570,"base":11},"right_expr":{"type":"numeric_atoms","value":1191,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2981,"base":11},"right_expr":{"type":"numeric_atoms","value":1924,"base":11}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3012,"base":11},"right_expr":{"type":"numeric_atoms","value":5753,"base":11}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1277,"base":11},"right_expr":{"type":"numeric_atoms","value":2592,"base":11}}}}},"used_operators":["uWAJUKEvyW","6B9nyZLogK","OXDGMFPWZM","XnXgA4xnOs","sdazOOVcIp","oWn0xqSxBt","g7Hmc5v1ko","tXD093vOjl","0kmYd0q39Y"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⋰*⋻-8","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3570","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=3570, right_input=1191, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=10892","layer":3},{"info":"number node, value=2981","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=1924, 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=2216","layer":3},{"info":"compute binary expreesion, left_input=10892, right_input=2216, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":1},{"info":"number node, value=3012","layer":4},{"info":"number node, value=5753","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=5753, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1277","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=2592, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2554","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2554, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2675","layer":2},{"info":"compute unary expreesion, input=-2675, 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 = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-8","layer":0}],"base":11,"result_base":11,"text":"(≑⋹(⋰*⋻2756⨑≵⋬⋰*⋻993⊍⩺⋍(⋰*⋻2270⪨≂⋰*⋻149A)))⊹∫⫚(⊙↵-(⋰*⋻2299∖⋰*⋻4360)⩌⋺⋰*⋻A61⩦⋰*⋻1A47)=⋰*⋻-8","reverse_text":"⋰*⋻-8=(≑⋹(⋰*⋻2756⨑≵⋬⋰*⋻993⊍⩺⋍(⋰*⋻2270⪨≂⋰*⋻149A)))⊹∫⫚(⊙↵-(⋰*⋻2299∖⋰*⋻4360)⩌⋺⋰*⋻A61⩦⋰*⋻1A47)","cot":[{"info":"⋰*⋻2756⨑≵⋬⋰*⋻993=⋰*⋻8202","layer":3},{"info":"⋰*⋻2270⪨≂⋰*⋻149A=⋰*⋻1735","layer":3},{"info":"⋰*⋻8202⊍⩺⋍⋰*⋻1735=NaN","layer":2},{"info":"≑⋹NaN=NaN","layer":1},{"info":"⋰*⋻2299∖⋰*⋻4360=⋰*⋻0","layer":3},{"info":"⋰*⋻A61⩦⋰*⋻1A47=⋰*⋻1A12","layer":3},{"info":"⋰*⋻0⩌⋺⋰*⋻1A12=⋰*⋻-2012","layer":2},{"info":"⊙↵-⋰*⋻-2012=⋰*⋻169","layer":1},{"info":"NaN⊹∫⫚⋰*⋻169=⋰*⋻-8","layer":0}]}
{"id":406,"expression_no_base_symbol":"(⋣(($5573$∪⫐$1080$)⊔$5843$∇⊂⋱$1607$))⩦((↔$1006$⨔⇊$2036$)⩟)","expression":"(⋣((⋰*⋻4207∪⫐⋰*⋻8A2)⊔⋰*⋻4432∇⊂⋱⋰*⋻1231))⩦((↔⋰*⋻835⨔⇊⋰*⋻1591)⩟)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":245,"operation_count":8,"complexity_ratio":30.625,"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":5573,"base":11},"right_expr":{"type":"numeric_atoms","value":1080,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5843,"base":11},"right_expr":{"type":"numeric_atoms","value":1607,"base":11}}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1006,"base":11},"right_expr":{"type":"numeric_atoms","value":2036,"base":11}}}}},"used_operators":["0kmYd0q39Y","zQWRhDnn8F","E4l6HwMY31","7YooWSwCyH","nhYeJWJD5X","fOIeswaMU4","ruOEQAzv1W","JclMnS0uGI"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⋰*⋻-97A98A24","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5573","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=5573, right_input=1080, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5573","layer":3},{"info":"number node, value=5843","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=5843, right_input=1607, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11140","layer":3},{"info":"compute binary expreesion, left_input=5573, right_input=11140, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=64446","layer":2},{"info":"compute unary expreesion, input=64446, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-18947029","layer":1},{"info":"number node, value=1006","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=2036, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2036","layer":3},{"info":"compute unary expreesion, input=2036, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1763","layer":2},{"info":"compute unary expreesion, input=-1763, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=17094","layer":1},{"info":"compute binary expreesion, left_input=-18947029, right_input=17094, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-189539629","layer":0}],"base":11,"result_base":11,"text":"(⋣((⋰*⋻4207∪⫐⋰*⋻8A2)⊔⋰*⋻4432∇⊂⋱⋰*⋻1231))⩦((↔⋰*⋻835⨔⇊⋰*⋻1591)⩟)=⋰*⋻-97A98A24","reverse_text":"⋰*⋻-97A98A24=(⋣((⋰*⋻4207∪⫐⋰*⋻8A2)⊔⋰*⋻4432∇⊂⋱⋰*⋻1231))⩦((↔⋰*⋻835⨔⇊⋰*⋻1591)⩟)","cot":[{"info":"⋰*⋻4207∪⫐⋰*⋻8A2=⋰*⋻4207","layer":3},{"info":"⋰*⋻4432∇⊂⋱⋰*⋻1231=⋰*⋻8408","layer":3},{"info":"⋰*⋻4207⊔⋰*⋻8408=⋰*⋻44468","layer":2},{"info":"⋣⋰*⋻44468=⋰*⋻-A771202","layer":1},{"info":"⋰*⋻835⨔⇊⋰*⋻1591=⋰*⋻1591","layer":3},{"info":"↔⋰*⋻1591=⋰*⋻-1363","layer":2},{"info":"⋰*⋻-1363⩟=⋰*⋻11930","layer":1},{"info":"⋰*⋻-A771202⩦⋰*⋻11930=⋰*⋻-97A98A24","layer":0}]}
{"id":407,"expression_no_base_symbol":"↪⫪⫘(∓⪦($3647$∘$7799$⫸⇳$1086$⊬⨰$3714$))","expression":"↪⫪⫘(∓⪦(⋰*⋻2816∘⋰*⋻5950⫸⇳⋰*⋻8A8⊬⨰⋰*⋻2877))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":173,"operation_count":5,"complexity_ratio":34.6,"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":3647,"base":11},"right_expr":{"type":"numeric_atoms","value":7799,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1086,"base":11},"right_expr":{"type":"numeric_atoms","value":3714,"base":11}}}}},"used_operators":["9dWsAM3GFt","D309nIvmXG","gx7XJ7hdpj","Z5m6OM72h2","s3Fd5m9Dh2"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻19","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3647","layer":4},{"info":"number node, value=7799","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=7799, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7294","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=3714, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14886","layer":3},{"info":"compute binary expreesion, left_input=7294, right_input=14886, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2119","layer":1},{"info":"compute unary expreesion, input=-2119, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":11,"result_base":11,"text":"↪⫪⫘(∓⪦(⋰*⋻2816∘⋰*⋻5950⫸⇳⋰*⋻8A8⊬⨰⋰*⋻2877))=⋰*⋻19","reverse_text":"⋰*⋻19=↪⫪⫘(∓⪦(⋰*⋻2816∘⋰*⋻5950⫸⇳⋰*⋻8A8⊬⨰⋰*⋻2877))","cot":[{"info":"⋰*⋻2816∘⋰*⋻5950=⋰*⋻5531","layer":3},{"info":"⋰*⋻8A8⊬⨰⋰*⋻2877=⋰*⋻10203","layer":3},{"info":"⋰*⋻5531⫸⇳⋰*⋻10203=⋰*⋻0","layer":2},{"info":"∓⪦⋰*⋻0=⋰*⋻-1657","layer":1},{"info":"↪⫪⫘⋰*⋻-1657=⋰*⋻19","layer":0}]}
{"id":408,"expression_no_base_symbol":"↥(($4271$≬⇓$1551$)≦↸($5032$≠≀$4986$)+(⋣$3199$)∘(∑⇻≧$4906$))","expression":"↥((⋰*⋻3233≬⇓⋰*⋻1190)≦↸(⋰*⋻3865≠≀⋰*⋻3823)+(⋣⋰*⋻2449)∘(∑⇻≧⋰*⋻3760))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18675,"operation_count":8,"complexity_ratio":2334.375,"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":4271,"base":11},"right_expr":{"type":"numeric_atoms","value":1551,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5032,"base":11},"right_expr":{"type":"numeric_atoms","value":4986,"base":11}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3199,"base":11}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":4906,"base":11}}}}},"used_operators":["A8NUZmVepG","W4YGzv6Whe","RygbFNSyEJ","jWTQ2TZYIH","IwW236VD4Y","Z5m6OM72h2","zQWRhDnn8F","l1M9WJ3V7u"],"dependent_operators":["k8jYdgA6NY","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eH2TOUuTDT","rysDP5nf3Z","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"⋰*⋻31","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4271","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=4271, right_input=1551, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=5032","layer":4},{"info":"number node, value=4986","layer":4},{"info":"compute binary expreesion, left_input=5032, right_input=4986, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9758","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-9758, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=703","layer":2},{"info":"number node, value=3199","layer":4},{"info":"compute unary expreesion, input=3199, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-940411","layer":3},{"info":"number node, value=4906","layer":4},{"info":"compute unary expreesion, input=4906, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=-940411, right_input=-852, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=940791","layer":2},{"info":"compute binary expreesion, left_input=703, right_input=940791, op_id = W4YGzv6Whe binary_op_definition= 'None', output=941494","layer":1},{"info":"compute unary expreesion, input=941494, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":0}],"base":11,"result_base":11,"text":"↥((⋰*⋻3233≬⇓⋰*⋻1190)≦↸(⋰*⋻3865≠≀⋰*⋻3823)+(⋣⋰*⋻2449)∘(∑⇻≧⋰*⋻3760))=⋰*⋻31","reverse_text":"⋰*⋻31=↥((⋰*⋻3233≬⇓⋰*⋻1190)≦↸(⋰*⋻3865≠≀⋰*⋻3823)+(⋣⋰*⋻2449)∘(∑⇻≧⋰*⋻3760))","cot":[{"info":"⋰*⋻3233≬⇓⋰*⋻1190=⋰*⋻-20","layer":3},{"info":"⋰*⋻3865≠≀⋰*⋻3823=⋰*⋻-7371","layer":3},{"info":"⋰*⋻-20≦↸⋰*⋻-7371=⋰*⋻58A","layer":2},{"info":"⋣⋰*⋻2449=⋰*⋻-5925AA","layer":3},{"info":"∑⇻≧⋰*⋻3760=⋰*⋻-705","layer":3},{"info":"⋰*⋻-5925AA∘⋰*⋻-705=⋰*⋻592915","layer":2},{"info":"⋰*⋻58A+⋰*⋻592915=⋰*⋻5933A4","layer":1},{"info":"↥⋰*⋻5933A4=⋰*⋻31","layer":0}]}
{"id":409,"expression_no_base_symbol":"($1756$≓∲$1178$≋⫹)⪔⊥(⪡⇡≛$5860$)⪬($1464$⇉⇱⇎)+⪬∐((⨛$2293$⨽$2113$)⩚⊴⇥($1842$≁$1761$≃$2273$∴$6135$))","expression":"(⋰*⋻1357≓∲⋰*⋻981≋⫹)⪔⊥(⪡⇡≛⋰*⋻4448)⪬(⋰*⋻1111⇉⇱⇎)+⪬∐((⨛⋰*⋻17A5⨽⋰*⋻1651)⩚⊴⇥(⋰*⋻1425≁⋰*⋻1361≃⋰*⋻1787∴⋰*⋻4678))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2169096,"operation_count":13,"complexity_ratio":166853.53846153847,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1756,"base":11},"right_expr":{"type":"numeric_atoms","value":1178,"base":11}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":5860,"base":11}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1464,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2293,"base":11},"right_expr":{"type":"numeric_atoms","value":2113,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1842,"base":11},"right_expr":{"type":"numeric_atoms","value":1761,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2273,"base":11},"right_expr":{"type":"numeric_atoms","value":6135,"base":11}}}}},"used_operators":["2GS7woTJqF","HJ9erzHUuu","N41Kp7NANJ","s1XTVnmDOJ","Ez1Nq5fNfI","qL4PrbW1Dq","MRPaB8lBjK","NTOWxs364D","CoMdbyAt7R","8HhzD0ZcuI","YbVcJGFEVW","8N2wDY1A35","hrf7POJlIJ"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⋰*⋻286845","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1756","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=1178, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=18343","layer":3},{"info":"compute unary expreesion, input=18343, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-36686","layer":2},{"info":"number node, value=5860","layer":4},{"info":"compute unary expreesion, input=5860, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-5860","layer":3},{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1246","layer":3},{"info":"compute binary expreesion, left_input=-5860, right_input=-1246, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-36686, right_input=1234, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-149411","layer":1},{"info":"number node, value=2293","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=2113, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15778572","layer":3},{"info":"compute unary expreesion, input=-15778572, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":2},{"info":"number node, value=1842","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=1761, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=29063","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=6135","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=6135, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6194","layer":3},{"info":"compute binary expreesion, left_input=29063, right_input=6194, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-116292","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-116292, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=116171","layer":1},{"info":"compute binary expreesion, left_input=-149411, right_input=116171, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=448233","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1357≓∲⋰*⋻981≋⫹)⪔⊥(⪡⇡≛⋰*⋻4448)⪬(⋰*⋻1111⇉⇱⇎)+⪬∐((⨛⋰*⋻17A5⨽⋰*⋻1651)⩚⊴⇥(⋰*⋻1425≁⋰*⋻1361≃⋰*⋻1787∴⋰*⋻4678))=⋰*⋻286845","reverse_text":"⋰*⋻286845=(⋰*⋻1357≓∲⋰*⋻981≋⫹)⪔⊥(⪡⇡≛⋰*⋻4448)⪬(⋰*⋻1111⇉⇱⇎)+⪬∐((⨛⋰*⋻17A5⨽⋰*⋻1651)⩚⊴⇥(⋰*⋻1425≁⋰*⋻1361≃⋰*⋻1787∴⋰*⋻4678))","cot":[{"info":"⋰*⋻1357≓∲⋰*⋻981=⋰*⋻12866","layer":3},{"info":"⋰*⋻12866≋⫹=⋰*⋻-25621","layer":2},{"info":"⪡⇡≛⋰*⋻4448=⋰*⋻-4448","layer":3},{"info":"⋰*⋻1111⇉⇱⇎=⋰*⋻-A33","layer":3},{"info":"⋰*⋻-4448⪬⋰*⋻-A33=⋰*⋻A22","layer":2},{"info":"⋰*⋻-25621⪔⊥⋰*⋻A22=⋰*⋻-A2289","layer":1},{"info":"⋰*⋻17A5⨽⋰*⋻1651=⋰*⋻-89A7747","layer":3},{"info":"⨛⋰*⋻-89A7747=⋰*⋻0","layer":2},{"info":"⋰*⋻1425≁⋰*⋻1361=⋰*⋻1A921","layer":3},{"info":"⋰*⋻1787∴⋰*⋻4678=⋰*⋻4721","layer":3},{"info":"⋰*⋻1A921≃⋰*⋻4721=⋰*⋻-7A410","layer":2},{"info":"⋰*⋻0⩚⊴⇥⋰*⋻-7A410=⋰*⋻7A310","layer":1},{"info":"⋰*⋻-A2289+⪬∐⋰*⋻7A310=⋰*⋻286845","layer":0}]}
{"id":410,"expression_no_base_symbol":"⇜⊴(⊀($3382$⊉≛↸$4069$))∖(⩰$5088$⫘$4613$)","expression":"⇜⊴(⊀(⋰*⋻25A5⊉≛↸⋰*⋻306A))∖(⩰⋰*⋻3906⫘⋰*⋻3514)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5603,"operation_count":6,"complexity_ratio":933.8333333333334,"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":3382,"base":11},"right_expr":{"type":"numeric_atoms","value":4069,"base":11}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5088,"base":11},"right_expr":{"type":"numeric_atoms","value":4613,"base":11}}}}},"used_operators":["XwDhCwWbUn","tXD093vOjl","oPMjh9089D","DZ8iAZOCBD","WkeUrDK8WX","48vC8HMD2b"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⋰*⋻69A9","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3382","layer":4},{"info":"number node, value=4069","layer":4},{"info":"compute binary expreesion, left_input=3382, right_input=4069, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6764","layer":3},{"info":"compute unary expreesion, input=6764, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=26794","layer":2},{"info":"number node, value=5088","layer":4},{"info":"number node, value=4613","layer":4},{"info":"compute binary expreesion, left_input=5088, right_input=4613, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5987893","layer":3},{"info":"compute unary expreesion, input=5987893, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5988893","layer":2},{"info":"compute binary expreesion, left_input=26794, right_input=-5988893, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=9194","layer":0}],"base":11,"result_base":11,"text":"⇜⊴(⊀(⋰*⋻25A5⊉≛↸⋰*⋻306A))∖(⩰⋰*⋻3906⫘⋰*⋻3514)=⋰*⋻69A9","reverse_text":"⋰*⋻69A9=⇜⊴(⊀(⋰*⋻25A5⊉≛↸⋰*⋻306A))∖(⩰⋰*⋻3906⫘⋰*⋻3514)","cot":[{"info":"⋰*⋻25A5⊉≛↸⋰*⋻306A=⋰*⋻509A","layer":3},{"info":"⊀⋰*⋻509A=⋰*⋻19149","layer":2},{"info":"⋰*⋻3906⫘⋰*⋻3514=⋰*⋻341A87A","layer":3},{"info":"⩰⋰*⋻341A87A=⋰*⋻-34205A9","layer":2},{"info":"⋰*⋻19149∖⋰*⋻-34205A9=⋰*⋻0","layer":1},{"info":"⇜⊴⋰*⋻0=⋰*⋻69A9","layer":0}]}
{"id":411,"expression_no_base_symbol":"(($1847$⩢≌)⫞⩸⩒($2222$⋳⪒$1521$)⋛((⪭⩑⪱$7296$)⇚⪠))↓((↣≠⋷$3110$⩦$2054$)⫸⊐(⊁⨺($2056$⪐)))","expression":"((⋰*⋻142A⩢≌)⫞⩸⩒(⋰*⋻1740⋳⪒⋰*⋻1163)⋛((⪭⩑⪱⋰*⋻5533)⇚⪠))↓((↣≠⋷⋰*⋻2378⩦⋰*⋻15A8)⫸⊐(⊁⨺(⋰*⋻15AA⪐)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8848282,"operation_count":12,"complexity_ratio":737356.8333333334,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1847,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2222,"base":11},"right_expr":{"type":"numeric_atoms","value":1521,"base":11}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":7296,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3110,"base":11},"right_expr":{"type":"numeric_atoms","value":2054,"base":11}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2056,"base":11}}}}},"used_operators":["Af076pWI7l","YbUVn0Rbpy","XGcMNugi78","D617RFjZIq","12rbrZMWeM","Loh9y4A90B","SIgE0bArFf","mqXw5SEYmG","Asc51vEJeQ","0kmYd0q39Y","PxiHyQbrIp","eH2TOUuTDT"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","hTbEZDJLEm","o20kRiQErp","rysDP5nf3Z","t8gj7n24qd","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":4},{"info":"compute unary expreesion, input=1847, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=2222","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=1521, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2636","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=2636, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2636","layer":2},{"info":"number node, value=7296","layer":4},{"info":"compute unary expreesion, input=7296, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute unary expreesion, input=8320752, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=2636, right_input=inf, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"number node, value=3110","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=2054, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6220","layer":3},{"info":"compute unary expreesion, input=6220, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4112","layer":3},{"info":"compute unary expreesion, input=4112, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻142A⩢≌)⫞⩸⩒(⋰*⋻1740⋳⪒⋰*⋻1163)⋛((⪭⩑⪱⋰*⋻5533)⇚⪠))↓((↣≠⋷⋰*⋻2378⩦⋰*⋻15A8)⫸⊐(⊁⨺(⋰*⋻15AA⪐)))=⋰*⋻-112","reverse_text":"⋰*⋻-112=((⋰*⋻142A⩢≌)⫞⩸⩒(⋰*⋻1740⋳⪒⋰*⋻1163)⋛((⪭⩑⪱⋰*⋻5533)⇚⪠))↓((↣≠⋷⋰*⋻2378⩦⋰*⋻15A8)⫸⊐(⊁⨺(⋰*⋻15AA⪐)))","cot":[{"info":"⋰*⋻142A⩢≌=⋰*⋻A3","layer":3},{"info":"⋰*⋻1740⋳⪒⋰*⋻1163=⋰*⋻1A87","layer":3},{"info":"⋰*⋻A3⫞⩸⩒⋰*⋻1A87=⋰*⋻1A87","layer":2},{"info":"⪭⩑⪱⋰*⋻5533=⋰*⋻4773560","layer":3},{"info":"⋰*⋻4773560⇚⪠=Inf","layer":2},{"info":"⋰*⋻1A87⋛Inf=NaN","layer":1},{"info":"⋰*⋻2378⩦⋰*⋻15A8=⋰*⋻4745","layer":3},{"info":"↣≠⋷⋰*⋻4745=NaN","layer":2},{"info":"⋰*⋻15AA⪐=⋰*⋻30A9","layer":3},{"info":"⊁⨺⋰*⋻30A9=⋰*⋻136","layer":2},{"info":"NaN⫸⊐⋰*⋻136=NaN","layer":1},{"info":"NaN↓NaN=⋰*⋻-112","layer":0}]}
{"id":412,"expression_no_base_symbol":"((⋎⨆$2880$⪉⨛$4288$)⨁⊸⫻)⩧⪆(↩⪖($5338$⩍⋽⫝̸$1557$⫍⨯↯))","expression":"((⋎⨆⋰*⋻2189⪉⨛⋰*⋻3249)⨁⊸⫻)⩧⪆(↩⪖(⋰*⋻4013⩍⋽⫝̸⋰*⋻1196⫍⨯↯))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":87,"operation_count":7,"complexity_ratio":12.428571428571429,"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":2880,"base":11},"right_expr":{"type":"numeric_atoms","value":4288,"base":11}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5338,"base":11},"right_expr":{"type":"numeric_atoms","value":1557,"base":11}}}}},"used_operators":["Ikt5ks8PT7","glklzrTFfD","E64sFOc4tB","EWw2JM7wp4","fG6uBQFnGz","ZcwmYACASQ","BiWNJpBvwn"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⋰*⋻3A83","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2880","layer":4},{"info":"number node, value=4288","layer":4},{"info":"compute binary expreesion, left_input=2880, right_input=4288, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4567","layer":3},{"info":"compute unary expreesion, input=4567, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":1},{"info":"number node, value=5338","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=5338, right_input=1557, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=611","layer":3},{"info":"compute unary expreesion, input=611, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=578","layer":2},{"info":"compute unary expreesion, input=578, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-5294","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5294, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=5294","layer":0}],"base":11,"result_base":11,"text":"((⋎⨆⋰*⋻2189⪉⨛⋰*⋻3249)⨁⊸⫻)⩧⪆(↩⪖(⋰*⋻4013⩍⋽⫝̸⋰*⋻1196⫍⨯↯))=⋰*⋻3A83","reverse_text":"⋰*⋻3A83=((⋎⨆⋰*⋻2189⪉⨛⋰*⋻3249)⨁⊸⫻)⩧⪆(↩⪖(⋰*⋻4013⩍⋽⫝̸⋰*⋻1196⫍⨯↯))","cot":[{"info":"⋰*⋻2189⪉⨛⋰*⋻3249=⋰*⋻3482","layer":3},{"info":"⋎⨆⋰*⋻3482=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨁⊸⫻=⋰*⋻0","layer":1},{"info":"⋰*⋻4013⩍⋽⫝̸⋰*⋻1196=⋰*⋻506","layer":3},{"info":"⋰*⋻506⫍⨯↯=⋰*⋻486","layer":2},{"info":"↩⪖⋰*⋻486=⋰*⋻-3A83","layer":1},{"info":"⋰*⋻0⩧⪆⋰*⋻-3A83=⋰*⋻3A83","layer":0}]}
{"id":413,"expression_no_base_symbol":"(⊄⩳↩(⨞⊢$2181$)⪚($1017$⊋$2069$))⪒($2133$⫁$3039$≓∲$5776$≴⪞⇿$8168$)≒∊($1313$⩍⋽⫝̸$1330$)⨿($2951$⩣⫁∢$1729$)","expression":"(⊄⩳↩(⨞⊢⋰*⋻1703)⪚(⋰*⋻845⊋⋰*⋻1611))⪒(⋰*⋻166A⫁⋰*⋻2313≓∲⋰*⋻4381≴⪞⇿⋰*⋻6156)≒∊(⋰*⋻A94⩍⋽⫝̸⋰*⋻AAA)⨿(⋰*⋻2243⩣⫁∢⋰*⋻1332)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8026,"operation_count":12,"complexity_ratio":668.8333333333334,"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":2181,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1017,"base":11},"right_expr":{"type":"numeric_atoms","value":2069,"base":11}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2133,"base":11},"right_expr":{"type":"numeric_atoms","value":3039,"base":11}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5776,"base":11},"right_expr":{"type":"numeric_atoms","value":8168,"base":11}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1313,"base":11},"right_expr":{"type":"numeric_atoms","value":1330,"base":11}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2951,"base":11},"right_expr":{"type":"numeric_atoms","value":1729,"base":11}}}}},"used_operators":["f6k1SAg4EE","8w2t5hMYqp","HrjLwUk87U","xUOZtlo3hN","W4tP9CfskL","5KTvxBwnZo","s1XTVnmDOJ","0ajvFaJAv0","lvlrscuwVU","abYXlopdE0","BiWNJpBvwn","JDUIKTTSIa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","cHh1gJQ2o6","AHs5Up7iyr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Ph9nP6C5qx","xUOZtlo3hN","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⋰*⋻A083","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2181","layer":4},{"info":"compute unary expreesion, input=2181, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2355","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=2069, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-16114804","layer":3},{"info":"compute binary expreesion, left_input=-2355, right_input=-16114804, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3834","layer":2},{"info":"compute unary expreesion, input=3834, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11502","layer":1},{"info":"number node, value=2133","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=3039, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=5776","layer":4},{"info":"number node, value=8168","layer":4},{"info":"compute binary expreesion, left_input=5776, right_input=8168, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=60566252","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=60566252, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=2383","layer":2},{"info":"number node, value=1313","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=1330, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=384","layer":3},{"info":"number node, value=2951","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=1729, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5741","layer":3},{"info":"compute binary expreesion, left_input=384, right_input=-5741, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=2383, right_input=-319, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1899","layer":1},{"info":"compute binary expreesion, left_input=-11502, right_input=-1899, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=13401","layer":0}],"base":11,"result_base":11,"text":"(⊄⩳↩(⨞⊢⋰*⋻1703)⪚(⋰*⋻845⊋⋰*⋻1611))⪒(⋰*⋻166A⫁⋰*⋻2313≓∲⋰*⋻4381≴⪞⇿⋰*⋻6156)≒∊(⋰*⋻A94⩍⋽⫝̸⋰*⋻AAA)⨿(⋰*⋻2243⩣⫁∢⋰*⋻1332)=⋰*⋻A083","reverse_text":"⋰*⋻A083=(⊄⩳↩(⨞⊢⋰*⋻1703)⪚(⋰*⋻845⊋⋰*⋻1611))⪒(⋰*⋻166A⫁⋰*⋻2313≓∲⋰*⋻4381≴⪞⇿⋰*⋻6156)≒∊(⋰*⋻A94⩍⋽⫝̸⋰*⋻AAA)⨿(⋰*⋻2243⩣⫁∢⋰*⋻1332)","cot":[{"info":"⨞⊢⋰*⋻1703=⋰*⋻-1851","layer":3},{"info":"⋰*⋻845⊋⋰*⋻1611=⋰*⋻-9107322","layer":3},{"info":"⋰*⋻-1851⪚⋰*⋻-9107322=⋰*⋻2976","layer":2},{"info":"⊄⩳↩⋰*⋻2976=⋰*⋻-8707","layer":1},{"info":"⋰*⋻166A⫁⋰*⋻2313=⋰*⋻136","layer":3},{"info":"⋰*⋻4381≴⪞⇿⋰*⋻6156=⋰*⋻3120835A","layer":3},{"info":"⋰*⋻136≓∲⋰*⋻3120835A=⋰*⋻1877","layer":2},{"info":"⋰*⋻A94⩍⋽⫝̸⋰*⋻AAA=⋰*⋻31A","layer":3},{"info":"⋰*⋻2243⩣⫁∢⋰*⋻1332=⋰*⋻-434A","layer":3},{"info":"⋰*⋻31A⨿⋰*⋻-434A=⋰*⋻-270","layer":2},{"info":"⋰*⋻1877≒∊⋰*⋻-270=⋰*⋻-1477","layer":1},{"info":"⋰*⋻-8707⪒⋰*⋻-1477=⋰*⋻A083","layer":0}]}
{"id":414,"expression_no_base_symbol":"((⩩($1762$⋝⋈⪟$4065$))≦↸($3896$⇴∐$1238$)⩦($1147$⫃⨇$1152$))⫣⪄⊒((⫛⫱⨽$6717$)≦↸(⪫⨮⊛$1505$)∝$2025$⫒⫫$3546$≬⇓($2972$⫌⩉⩟$2351$))","expression":"((⩩(⋰*⋻1362⋝⋈⪟⋰*⋻3066))≦↸(⋰*⋻2A22⇴∐⋰*⋻A26)⩦(⋰*⋻953⫃⨇⋰*⋻958))⫣⪄⊒((⫛⫱⨽⋰*⋻5057)≦↸(⪫⨮⊛⋰*⋻1149)∝⋰*⋻1581⫒⫫⋰*⋻2734≬⇓(⋰*⋻2262⫌⩉⩟⋰*⋻1848))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":916253,"operation_count":14,"complexity_ratio":65446.642857142855,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1762,"base":11},"right_expr":{"type":"numeric_atoms","value":4065,"base":11}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3896,"base":11},"right_expr":{"type":"numeric_atoms","value":1238,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1147,"base":11},"right_expr":{"type":"numeric_atoms","value":1152,"base":11}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6717,"base":11}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1505,"base":11}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2025,"base":11},"right_expr":{"type":"numeric_atoms","value":3546,"base":11}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2972,"base":11},"right_expr":{"type":"numeric_atoms","value":2351,"base":11}}}}},"used_operators":["RabNbG55vr","RygbFNSyEJ","kMhfGuqI2H","2DDjHMKMc0","0kmYd0q39Y","HnzytWxmAO","09Ly4LVMIf","cTDWOvIxvz","DlLNRPXxWL","w5FWba1tyO","jWTQ2TZYIH","6Ko8hGgeMq","XIIwhv8d0m"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rGHVDoGpnC","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":4},{"info":"number node, value=4065","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=4065, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1762","layer":3},{"info":"compute unary expreesion, input=1762, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=3896","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=3896, right_input=1238, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1152, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4640","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4640, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=6717","layer":4},{"info":"compute unary expreesion, input=6717, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1505","layer":4},{"info":"compute unary expreesion, input=1505, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=3546, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2972","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=2351, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((⩩(⋰*⋻1362⋝⋈⪟⋰*⋻3066))≦↸(⋰*⋻2A22⇴∐⋰*⋻A26)⩦(⋰*⋻953⫃⨇⋰*⋻958))⫣⪄⊒((⫛⫱⨽⋰*⋻5057)≦↸(⪫⨮⊛⋰*⋻1149)∝⋰*⋻1581⫒⫫⋰*⋻2734≬⇓(⋰*⋻2262⫌⩉⩟⋰*⋻1848))=⋰*⋻136","reverse_text":"⋰*⋻136=((⩩(⋰*⋻1362⋝⋈⪟⋰*⋻3066))≦↸(⋰*⋻2A22⇴∐⋰*⋻A26)⩦(⋰*⋻953⫃⨇⋰*⋻958))⫣⪄⊒((⫛⫱⨽⋰*⋻5057)≦↸(⪫⨮⊛⋰*⋻1149)∝⋰*⋻1581⫒⫫⋰*⋻2734≬⇓(⋰*⋻2262⫌⩉⩟⋰*⋻1848))","cot":[{"info":"⋰*⋻1362⋝⋈⪟⋰*⋻3066=⋰*⋻1362","layer":3},{"info":"⩩⋰*⋻1362=NaN","layer":2},{"info":"⋰*⋻2A22⇴∐⋰*⋻A26=NaN","layer":3},{"info":"⋰*⋻953⫃⨇⋰*⋻958=⋰*⋻-3539","layer":3},{"info":"NaN⩦⋰*⋻-3539=NaN","layer":2},{"info":"NaN≦↸NaN=NaN","layer":1},{"info":"⫛⫱⨽⋰*⋻5057=⋰*⋻0","layer":3},{"info":"⪫⨮⊛⋰*⋻1149=NaN","layer":3},{"info":"⋰*⋻0≦↸NaN=NaN","layer":2},{"info":"⋰*⋻1581⫒⫫⋰*⋻2734=NaN","layer":3},{"info":"⋰*⋻2262⫌⩉⩟⋰*⋻1848=⋰*⋻-46","layer":3},{"info":"NaN≬⇓⋰*⋻-46=⋰*⋻-20","layer":2},{"info":"NaN∝⋰*⋻-20=NaN","layer":1},{"info":"NaN⫣⪄⊒NaN=⋰*⋻136","layer":0}]}
{"id":415,"expression_no_base_symbol":"(⩷⨜⫀((≛$2504$)∠↢$3025$⨿$3657$))⫗⊷⫓(($1139$⋭≵$9410$)⪬($1586$⪟⇏$2413$)∳⫺((≸≮$1823$)⫸⇳(↥$1078$)))","expression":"(⩷⨜⫀((≛⋰*⋻1977)∠↢⋰*⋻2300⨿⋰*⋻2825))⫗⊷⫓((⋰*⋻946⋭≵⋰*⋻7085)⪬(⋰*⋻1212⪟⇏⋰*⋻18A4)∳⫺((≸≮⋰*⋻1408)⫸⇳(↥⋰*⋻8A0)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":98437,"operation_count":12,"complexity_ratio":8203.083333333334,"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":2504,"base":11}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3025,"base":11},"right_expr":{"type":"numeric_atoms","value":3657,"base":11}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1139,"base":11},"right_expr":{"type":"numeric_atoms","value":9410,"base":11}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1586,"base":11},"right_expr":{"type":"numeric_atoms","value":2413,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1823,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1078,"base":11}}}}},"used_operators":["zashukvMKz","CDi0ktkjQ4","KbjG8mgYpV","W7eaUhjymW","abYXlopdE0","AzXXKTstlj","Ez1Nq5fNfI","jBncVCNhdl","GODebY97qR","gx7XJ7hdpj","AljMvE3RRm","A8NUZmVepG"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","k8jYdgA6NY"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2504","layer":4},{"info":"compute unary expreesion, input=2504, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=3025","layer":4},{"info":"number node, value=3657","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=3657, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=-319, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=5588","layer":2},{"info":"compute unary expreesion, input=5588, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-5315","layer":1},{"info":"number node, value=1139","layer":4},{"info":"number node, value=9410","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=9410, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5799","layer":3},{"info":"number node, value=1586","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=2413, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=5799, right_input=-1, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1823","layer":4},{"info":"compute unary expreesion, input=1823, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-5315, right_input=-260, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"(⩷⨜⫀((≛⋰*⋻1977)∠↢⋰*⋻2300⨿⋰*⋻2825))⫗⊷⫓((⋰*⋻946⋭≵⋰*⋻7085)⪬(⋰*⋻1212⪟⇏⋰*⋻18A4)∳⫺((≸≮⋰*⋻1408)⫸⇳(↥⋰*⋻8A0)))=⋰*⋻-112","reverse_text":"⋰*⋻-112=(⩷⨜⫀((≛⋰*⋻1977)∠↢⋰*⋻2300⨿⋰*⋻2825))⫗⊷⫓((⋰*⋻946⋭≵⋰*⋻7085)⪬(⋰*⋻1212⪟⇏⋰*⋻18A4)∳⫺((≸≮⋰*⋻1408)⫸⇳(↥⋰*⋻8A0)))","cot":[{"info":"≛⋰*⋻1977=⋰*⋻-A","layer":3},{"info":"⋰*⋻2300⨿⋰*⋻2825=⋰*⋻-270","layer":3},{"info":"⋰*⋻-A∠↢⋰*⋻-270=⋰*⋻4220","layer":2},{"info":"⩷⨜⫀⋰*⋻4220=⋰*⋻-3AA2","layer":1},{"info":"⋰*⋻946⋭≵⋰*⋻7085=⋰*⋻43A2","layer":3},{"info":"⋰*⋻1212⪟⇏⋰*⋻18A4=⋰*⋻-1","layer":3},{"info":"⋰*⋻43A2⪬⋰*⋻-1=⋰*⋻A22","layer":2},{"info":"≸≮⋰*⋻1408=NaN","layer":3},{"info":"↥⋰*⋻8A0=⋰*⋻7","layer":3},{"info":"NaN⫸⇳⋰*⋻7=NaN","layer":2},{"info":"⋰*⋻A22∳⫺NaN=⋰*⋻-217","layer":1},{"info":"⋰*⋻-3AA2⫗⊷⫓⋰*⋻-217=⋰*⋻-112","layer":0}]}
{"id":416,"expression_no_base_symbol":"(≇⪴(⫡⇟⇯($9491$⪇≇⋚$4406$)))⪭≯($5260$⫞⩸⩒$1407$⊹∫⫚($1102$⋫))⪭($1098$⩍⋽⫝̸$1390$⨑≵⋬(⇉-⫰$5468$))","expression":"(≇⪴(⫡⇟⇯(⋰*⋻7149⪇≇⋚⋰*⋻3346)))⪭≯(⋰*⋻3A52⫞⩸⩒⋰*⋻106A⊹∫⫚(⋰*⋻912⋫))⪭(⋰*⋻909⩍⋽⫝̸⋰*⋻1054⨑≵⋬(⇉-⫰⋰*⋻4121))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7449,"operation_count":11,"complexity_ratio":677.1818181818181,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":9491,"base":11},"right_expr":{"type":"numeric_atoms","value":4406,"base":11}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5260,"base":11},"right_expr":{"type":"numeric_atoms","value":1407,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1102,"base":11}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1098,"base":11},"right_expr":{"type":"numeric_atoms","value":1390,"base":11}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":5468,"base":11}}}}},"used_operators":["XAx5wpdLa6","zoVPnxeHJ3","qWUSsah53b","3sJ7IOPOlU","j9kHMeSvPp","uWAJUKEvyW","XGcMNugi78","JL8yIekQnl","XnXgA4xnOs","BiWNJpBvwn","IGFM8TAlm9"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","DZ8iAZOCBD","P8v4zCKN1o","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","COABgblf1C","xUOZtlo3hN","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","tmPS8pqC7x","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","eH2TOUuTDT","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9491","layer":4},{"info":"number node, value=4406","layer":4},{"info":"compute binary expreesion, left_input=9491, right_input=4406, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1264","layer":1},{"info":"number node, value=5260","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=5260, right_input=1407, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1407","layer":3},{"info":"number node, value=1102","layer":4},{"info":"compute unary expreesion, input=1102, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1102","layer":3},{"info":"compute binary expreesion, left_input=1407, right_input=1102, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-344","layer":2},{"info":"number node, value=1098","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=1390, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=444","layer":3},{"info":"number node, value=5468","layer":4},{"info":"compute unary expreesion, input=5468, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=444, right_input=20, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=4451","layer":2},{"info":"compute binary expreesion, left_input=-344, right_input=4451, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=170","layer":1},{"info":"compute binary expreesion, left_input=-1264, right_input=170, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≇⪴(⫡⇟⇯(⋰*⋻7149⪇≇⋚⋰*⋻3346)))⪭≯(⋰*⋻3A52⫞⩸⩒⋰*⋻106A⊹∫⫚(⋰*⋻912⋫))⪭(⋰*⋻909⩍⋽⫝̸⋰*⋻1054⨑≵⋬(⇉-⫰⋰*⋻4121))=NaN","reverse_text":"NaN=(≇⪴(⫡⇟⇯(⋰*⋻7149⪇≇⋚⋰*⋻3346)))⪭≯(⋰*⋻3A52⫞⩸⩒⋰*⋻106A⊹∫⫚(⋰*⋻912⋫))⪭(⋰*⋻909⩍⋽⫝̸⋰*⋻1054⨑≵⋬(⇉-⫰⋰*⋻4121))","cot":[{"info":"⋰*⋻7149⪇≇⋚⋰*⋻3346=⋰*⋻0","layer":3},{"info":"⫡⇟⇯⋰*⋻0=⋰*⋻71A","layer":2},{"info":"≇⪴⋰*⋻71A=⋰*⋻-A4A","layer":1},{"info":"⋰*⋻3A52⫞⩸⩒⋰*⋻106A=⋰*⋻106A","layer":3},{"info":"⋰*⋻912⋫=⋰*⋻912","layer":3},{"info":"⋰*⋻106A⊹∫⫚⋰*⋻912=⋰*⋻-293","layer":2},{"info":"⋰*⋻909⩍⋽⫝̸⋰*⋻1054=⋰*⋻374","layer":3},{"info":"⇉-⫰⋰*⋻4121=⋰*⋻19","layer":3},{"info":"⋰*⋻374⨑≵⋬⋰*⋻19=⋰*⋻3387","layer":2},{"info":"⋰*⋻-293⪭⋰*⋻3387=⋰*⋻145","layer":1},{"info":"⋰*⋻-A4A⪭≯⋰*⋻145=NaN","layer":0}]}
{"id":417,"expression_no_base_symbol":"((($1075$%$5018$)≥⨤⩑(⇨$3262$))⩘)⩺⋐⫨","expression":"(((⋰*⋻898%⋰*⋻3852)≥⨤⩑(⇨⋰*⋻24A6))⩘)⩺⋐⫨","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":196,"operation_count":5,"complexity_ratio":39.2,"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":1075,"base":11},"right_expr":{"type":"numeric_atoms","value":5018,"base":11}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":3262,"base":11}}}}},"used_operators":["yS9ePUuUdn","wvHyciQT5X","gJLn6v0xnP","k8jYdgA6NY","G9tJMlZ94a"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","9ICcGScMcE","dfKe02y8D2","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","k8jYdgA6NY"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"number node, value=5018","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=5018, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1075","layer":3},{"info":"number node, value=3262","layer":4},{"info":"compute unary expreesion, input=3262, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1075, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻898%⋰*⋻3852)≥⨤⩑(⇨⋰*⋻24A6))⩘)⩺⋐⫨=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻898%⋰*⋻3852)≥⨤⩑(⇨⋰*⋻24A6))⩘)⩺⋐⫨","cot":[{"info":"⋰*⋻898%⋰*⋻3852=⋰*⋻898","layer":3},{"info":"⇨⋰*⋻24A6=⋰*⋻0","layer":3},{"info":"⋰*⋻898≥⨤⩑⋰*⋻0=⋰*⋻A22","layer":2},{"info":"⋰*⋻A22⩘=⋰*⋻61","layer":1},{"info":"⋰*⋻61⩺⋐⫨=⋰*⋻0","layer":0}]}
{"id":418,"expression_no_base_symbol":"⨑⩽⪐(⪸($7808$⩧⪆$3950$))⋓($2126$⨹)⇻⋧≁(∮$1041$)","expression":"⨑⩽⪐(⪸(⋰*⋻5959⩧⪆⋰*⋻2A71))⋓(⋰*⋻1663⨹)⇻⋧≁(∮⋰*⋻867)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7848,"operation_count":7,"complexity_ratio":1121.142857142857,"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":7808,"base":11},"right_expr":{"type":"numeric_atoms","value":3950,"base":11}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":2126,"base":11}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1041,"base":11}}}}},"used_operators":["AF7qkfDlqP","T2fj7uvVaJ","86A5ENbKR9","Ikt5ks8PT7","jCPkEVoL5K","UnCoSGIALn","CqXKPLVYql"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","mp7IySMOzn","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⋰*⋻658","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7808","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=7808, right_input=3950, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3950","layer":3},{"info":"compute unary expreesion, input=-3950, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=37602","layer":2},{"info":"number node, value=2126","layer":4},{"info":"compute unary expreesion, input=2126, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=4252","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=4252, right_input=67, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=37602, right_input=-447, 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 = 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":11,"result_base":11,"text":"⨑⩽⪐(⪸(⋰*⋻5959⩧⪆⋰*⋻2A71))⋓(⋰*⋻1663⨹)⇻⋧≁(∮⋰*⋻867)=⋰*⋻658","reverse_text":"⋰*⋻658=⨑⩽⪐(⪸(⋰*⋻5959⩧⪆⋰*⋻2A71))⋓(⋰*⋻1663⨹)⇻⋧≁(∮⋰*⋻867)","cot":[{"info":"⋰*⋻5959⩧⪆⋰*⋻2A71=⋰*⋻-2A71","layer":3},{"info":"⪸⋰*⋻-2A71=⋰*⋻26284","layer":2},{"info":"⋰*⋻1663⨹=⋰*⋻3216","layer":3},{"info":"∮⋰*⋻867=⋰*⋻61","layer":3},{"info":"⋰*⋻3216⇻⋧≁⋰*⋻61=⋰*⋻-377","layer":2},{"info":"⋰*⋻26284⋓⋰*⋻-377=⋰*⋻0","layer":1},{"info":"⨑⩽⪐⋰*⋻0=⋰*⋻658","layer":0}]}
{"id":419,"expression_no_base_symbol":"((($5420$⪨≂$1179$)⨪↰⇹(⇨$1081$))⇪⋭)⨰(∮(⋼∭⪍$5602$≝⊿$1704$))","expression":"(((⋰*⋻4088⪨≂⋰*⋻982)⨪↰⇹(⇨⋰*⋻8A3))⇪⋭)⨰(∮(⋼∭⪍⋰*⋻4233≝⊿⋰*⋻130A))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9153,"operation_count":8,"complexity_ratio":1144.125,"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":5420,"base":11},"right_expr":{"type":"numeric_atoms","value":1179,"base":11}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1081,"base":11}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":5602,"base":11},"right_expr":{"type":"numeric_atoms","value":1704,"base":11}}}}},"used_operators":["eewbuw0ToL","Z8Yg6dlDSp","tmPS8pqC7x","sdazOOVcIp","G9tJMlZ94a","CqXKPLVYql","DbCuESL50I","OKKcZfAt5B"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5420","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=5420, right_input=1179, 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=8584","layer":3},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8584, 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=8584","layer":2},{"info":"compute unary expreesion, input=8584, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"number node, value=5602","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=5602, right_input=1704, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9543","layer":3},{"info":"compute unary expreesion, input=-9543, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-57156","layer":2},{"info":"compute unary expreesion, input=-57156, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-295292","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-295292, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻4088⪨≂⋰*⋻982)⨪↰⇹(⇨⋰*⋻8A3))⇪⋭)⨰(∮(⋼∭⪍⋰*⋻4233≝⊿⋰*⋻130A))=NaN","reverse_text":"NaN=(((⋰*⋻4088⪨≂⋰*⋻982)⨪↰⇹(⇨⋰*⋻8A3))⇪⋭)⨰(∮(⋼∭⪍⋰*⋻4233≝⊿⋰*⋻130A))","cot":[{"info":"⋰*⋻4088⪨≂⋰*⋻982=⋰*⋻64A4","layer":3},{"info":"⇨⋰*⋻8A3=⋰*⋻0","layer":3},{"info":"⋰*⋻64A4⨪↰⇹⋰*⋻0=⋰*⋻64A4","layer":2},{"info":"⋰*⋻64A4⇪⋭=NaN","layer":1},{"info":"⋰*⋻4233≝⊿⋰*⋻130A=⋰*⋻-7196","layer":3},{"info":"⋼∭⪍⋰*⋻-7196=⋰*⋻-39A40","layer":2},{"info":"∮⋰*⋻-39A40=⋰*⋻-191948","layer":1},{"info":"NaN⨰⋰*⋻-191948=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"⇈($2996$⪛$4177$⇌⫙⪟($3692$∧)⋆⋳)","expression":"⇈(⋰*⋻2284⪛⋰*⋻3158⇌⫙⪟(⋰*⋻2857∧)⋆⋳)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1056,"operation_count":5,"complexity_ratio":211.2,"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":2996,"base":11},"right_expr":{"type":"numeric_atoms","value":4177,"base":11}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3692,"base":11}}}}},"used_operators":["SLLxy00UIr","6MpZysEj17","AFVx7xoS7T","uFcxV4UQCh","z63VuFQld9"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋰*⋻-377","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2996","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=2996, right_input=4177, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2996","layer":3},{"info":"number node, value=3692","layer":4},{"info":"compute unary expreesion, input=3692, 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=2996, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":11,"result_base":11,"text":"⇈(⋰*⋻2284⪛⋰*⋻3158⇌⫙⪟(⋰*⋻2857∧)⋆⋳)=⋰*⋻-377","reverse_text":"⋰*⋻-377=⇈(⋰*⋻2284⪛⋰*⋻3158⇌⫙⪟(⋰*⋻2857∧)⋆⋳)","cot":[{"info":"⋰*⋻2284⪛⋰*⋻3158=⋰*⋻2284","layer":3},{"info":"⋰*⋻2857∧=NaN","layer":3},{"info":"⋰*⋻2284⇌⫙⪟NaN=NaN","layer":2},{"info":"NaN⋆⋳=NaN","layer":1},{"info":"⇈NaN=⋰*⋻-377","layer":0}]}
{"id":421,"expression_no_base_symbol":"(($5002$⪨≂$2160$)⨎⋸⪻)⩒⫫((⨰⫟⨤$1358$)⫽⇹≛)↛⩡⫤","expression":"((⋰*⋻3838⪨≂⋰*⋻1694)⨎⋸⪻)⩒⫫((⨰⫟⨤⋰*⋻1025)⫽⇹≛)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4719,"operation_count":6,"complexity_ratio":786.5,"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":5002,"base":11},"right_expr":{"type":"numeric_atoms","value":2160,"base":11}}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1358,"base":11}}}}},"used_operators":["FU0Cs4j7VP","KFSx94NKJn","Dk5vyLCiGd","sdazOOVcIp","NNaDxxp6OQ","Tw270M8GLb"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5002","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=2160, 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=5786","layer":3},{"info":"compute unary expreesion, input=5786, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=11888","layer":2},{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, 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 = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11888, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"((⋰*⋻3838⪨≂⋰*⋻1694)⨎⋸⪻)⩒⫫((⨰⫟⨤⋰*⋻1025)⫽⇹≛)↛⩡⫤=NaN","reverse_text":"NaN=((⋰*⋻3838⪨≂⋰*⋻1694)⨎⋸⪻)⩒⫫((⨰⫟⨤⋰*⋻1025)⫽⇹≛)↛⩡⫤","cot":[{"info":"⋰*⋻3838⪨≂⋰*⋻1694=⋰*⋻4390","layer":3},{"info":"⋰*⋻4390⨎⋸⪻=⋰*⋻8A28","layer":2},{"info":"⨰⫟⨤⋰*⋻1025=NaN","layer":3},{"info":"NaN⫽⇹≛=NaN","layer":2},{"info":"⋰*⋻8A28⩒⫫NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"⊲⪭(((⩪∧⨌$1491$)∽(↥$1854$))⩁⩘(($4250$∈)↡⊰⫅$6581$⪇≇⋚$4571$))","expression":"⊲⪭(((⩪∧⨌⋰*⋻1136)∽(↥⋰*⋻1436))⩁⩘((⋰*⋻3214∈)↡⊰⫅⋰*⋻4A43⪇≇⋚⋰*⋻3486))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":119,"operation_count":8,"complexity_ratio":14.875,"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":1491,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1854,"base":11}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":4250,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6581,"base":11},"right_expr":{"type":"numeric_atoms","value":4571,"base":11}}}}},"used_operators":["k7HXdKtiEU","gub5Cegaqo","y4ImoPnbV5","6iOiAJX1F8","A8NUZmVepG","VCtxkLNOzz","ztP7wcbY7m","3sJ7IOPOlU"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","DpFCA1CohY","IWmyXbctLI","NTOWxs364D","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1491","layer":4},{"info":"compute unary expreesion, input=1491, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=14910","layer":3},{"info":"number node, value=1854","layer":4},{"info":"compute unary expreesion, input=1854, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"compute binary expreesion, left_input=14910, right_input=18, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-74426","layer":2},{"info":"number node, value=4250","layer":4},{"info":"compute unary expreesion, input=4250, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=12079","layer":3},{"info":"number node, value=6581","layer":4},{"info":"number node, value=4571","layer":4},{"info":"compute binary expreesion, left_input=6581, right_input=4571, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12079, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-74426, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊲⪭(((⩪∧⨌⋰*⋻1136)∽(↥⋰*⋻1436))⩁⩘((⋰*⋻3214∈)↡⊰⫅⋰*⋻4A43⪇≇⋚⋰*⋻3486))=NaN","reverse_text":"NaN=⊲⪭(((⩪∧⨌⋰*⋻1136)∽(↥⋰*⋻1436))⩁⩘((⋰*⋻3214∈)↡⊰⫅⋰*⋻4A43⪇≇⋚⋰*⋻3486))","cot":[{"info":"⩪∧⨌⋰*⋻1136=⋰*⋻10225","layer":3},{"info":"↥⋰*⋻1436=⋰*⋻17","layer":3},{"info":"⋰*⋻10225∽⋰*⋻17=⋰*⋻-50A10","layer":2},{"info":"⋰*⋻3214∈=⋰*⋻9091","layer":3},{"info":"⋰*⋻4A43⪇≇⋚⋰*⋻3486=⋰*⋻0","layer":3},{"info":"⋰*⋻9091↡⊰⫅⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-50A10⩁⩘⋰*⋻0=NaN","layer":1},{"info":"⊲⪭NaN=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"⫎≠⋺((⇠(↞≼$1636$))⪍↜⋙($3483$≎⪠$2748$∲⫓$3021$⫲≸⪮$2682$))","expression":"⫎≠⋺((⇠(↞≼⋰*⋻1258))⪍↜⋙(⋰*⋻2687≎⪠⋰*⋻2079∲⫓⋰*⋻22A7⫲≸⪮⋰*⋻2019))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22186,"operation_count":7,"complexity_ratio":3169.4285714285716,"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":1636,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3483,"base":11},"right_expr":{"type":"numeric_atoms","value":2748,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3021,"base":11},"right_expr":{"type":"numeric_atoms","value":2682,"base":11}}}}},"used_operators":["LYeZOJ0nQG","L05ObWFQCd","18saOjeKKm","DE7zCoGJt9","i8ToyICDmI","aNhz54LH3e","P3lXMJvFrc"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1636","layer":4},{"info":"compute unary expreesion, input=1636, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=12674","layer":3},{"info":"compute unary expreesion, input=12674, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-12432","layer":2},{"info":"number node, value=3483","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=2748, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=3021","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=3021, right_input=2682, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3021","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=3021, 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=-12432, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=61377","layer":1},{"info":"compute unary expreesion, input=61377, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⫎≠⋺((⇠(↞≼⋰*⋻1258))⪍↜⋙(⋰*⋻2687≎⪠⋰*⋻2079∲⫓⋰*⋻22A7⫲≸⪮⋰*⋻2019))=⋰*⋻0","reverse_text":"⋰*⋻0=⫎≠⋺((⇠(↞≼⋰*⋻1258))⪍↜⋙(⋰*⋻2687≎⪠⋰*⋻2079∲⫓⋰*⋻22A7⫲≸⪮⋰*⋻2019))","cot":[{"info":"↞≼⋰*⋻1258=⋰*⋻9582","layer":3},{"info":"⇠⋰*⋻9582=⋰*⋻-9382","layer":2},{"info":"⋰*⋻2687≎⪠⋰*⋻2079=⋰*⋻13770","layer":3},{"info":"⋰*⋻22A7⫲≸⪮⋰*⋻2019=⋰*⋻22A7","layer":3},{"info":"⋰*⋻13770∲⫓⋰*⋻22A7=⋰*⋻0","layer":2},{"info":"⋰*⋻-9382⪍↜⋙⋰*⋻0=⋰*⋻42128","layer":1},{"info":"⫎≠⋺⋰*⋻42128=⋰*⋻0","layer":0}]}
{"id":424,"expression_no_base_symbol":"(⋃($6741$↱$3047$))⊮⊟↴($1383$⨽∌$3252$⨀⨒)⫡⨏((⋗⩬⋾$7342$⩧⪆$1348$)⪨≂(($1221$∵≐)⫠↝⫳))","expression":"(⋃(⋰*⋻5079↱⋰*⋻2320))⊮⊟↴(⋰*⋻1048⨽∌⋰*⋻2497⨀⨒)⫡⨏((⋗⩬⋾⋰*⋻5575⩧⪆⋰*⋻1016)⪨≂((⋰*⋻A10∵≐)⫠↝⫳))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":225,"operation_count":11,"complexity_ratio":20.454545454545453,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6741,"base":11},"right_expr":{"type":"numeric_atoms","value":3047,"base":11}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1383,"base":11},"right_expr":{"type":"numeric_atoms","value":3252,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":7342,"base":11},"right_expr":{"type":"numeric_atoms","value":1348,"base":11}}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":1221,"base":11}}}}},"used_operators":["QMFrweE19q","QDVgd2eftb","3mBM5G4a3l","SR5kFfdi6N","j6NVkjMzuk","9samAPKr6k","sdazOOVcIp","DpFCA1CohY","Ikt5ks8PT7","8n5YIzOsVS","59igzFyhWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","g55IO6H4Gj","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"⋰*⋻-14473","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6741","layer":4},{"info":"number node, value=3047","layer":4},{"info":"compute binary expreesion, left_input=6741, right_input=3047, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-8619","layer":3},{"info":"compute unary expreesion, input=-8619, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-17136","layer":2},{"info":"number node, value=1383","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=3252, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2400","layer":2},{"info":"compute binary expreesion, left_input=-17136, right_input=-2400, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=7342","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=7342, right_input=1348, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1348","layer":3},{"info":"compute unary expreesion, input=-1348, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=4044","layer":2},{"info":"number node, value=1221","layer":4},{"info":"compute unary expreesion, input=1221, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=275","layer":3},{"info":"compute unary expreesion, input=275, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=9423","layer":2},{"info":"compute binary expreesion, left_input=4044, right_input=9423, 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=-10656","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-10656, 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=-20529","layer":0}],"base":11,"result_base":11,"text":"(⋃(⋰*⋻5079↱⋰*⋻2320))⊮⊟↴(⋰*⋻1048⨽∌⋰*⋻2497⨀⨒)⫡⨏((⋗⩬⋾⋰*⋻5575⩧⪆⋰*⋻1016)⪨≂((⋰*⋻A10∵≐)⫠↝⫳))=⋰*⋻-14473","reverse_text":"⋰*⋻-14473=(⋃(⋰*⋻5079↱⋰*⋻2320))⊮⊟↴(⋰*⋻1048⨽∌⋰*⋻2497⨀⨒)⫡⨏((⋗⩬⋾⋰*⋻5575⩧⪆⋰*⋻1016)⪨≂((⋰*⋻A10∵≐)⫠↝⫳))","cot":[{"info":"⋰*⋻5079↱⋰*⋻2320=⋰*⋻-6526","layer":3},{"info":"⋃⋰*⋻-6526=⋰*⋻-11969","layer":2},{"info":"⋰*⋻1048⨽∌⋰*⋻2497=⋰*⋻0","layer":3},{"info":"⋰*⋻0⨀⨒=⋰*⋻-1892","layer":2},{"info":"⋰*⋻-11969⊮⊟↴⋰*⋻-1892=⋰*⋻0","layer":1},{"info":"⋰*⋻5575⩧⪆⋰*⋻1016=⋰*⋻-1016","layer":3},{"info":"⋗⩬⋾⋰*⋻-1016=⋰*⋻3047","layer":2},{"info":"⋰*⋻A10∵≐=⋰*⋻230","layer":3},{"info":"⋰*⋻230⫠↝⫳=⋰*⋻7097","layer":2},{"info":"⋰*⋻3047⪨≂⋰*⋻7097=⋰*⋻-8008","layer":1},{"info":"⋰*⋻0⫡⨏⋰*⋻-8008=⋰*⋻-14473","layer":0}]}
{"id":425,"expression_no_base_symbol":"↽≂(⊖∈($2117$∙⊟$2509$)≦↸($5467$⩨$5133$))","expression":"↽≂(⊖∈(⋰*⋻1655∙⊟⋰*⋻1981)≦↸(⋰*⋻4120⩨⋰*⋻3947))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":224415,"operation_count":5,"complexity_ratio":44883.0,"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":2117,"base":11},"right_expr":{"type":"numeric_atoms","value":2509,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5467,"base":11},"right_expr":{"type":"numeric_atoms","value":5133,"base":11}}}}},"used_operators":["u6S6b8DprG","YFxL8Sc2Zy","RygbFNSyEJ","SxTAKzQCrw","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"-Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2117","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=2509, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=37367","layer":3},{"info":"number node, value=5467","layer":4},{"info":"number node, value=5133","layer":4},{"info":"compute binary expreesion, left_input=5467, right_input=5133, 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=37367, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-74053","layer":2},{"info":"compute unary expreesion, input=-74053, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-inf","layer":0}],"base":11,"result_base":11,"text":"↽≂(⊖∈(⋰*⋻1655∙⊟⋰*⋻1981)≦↸(⋰*⋻4120⩨⋰*⋻3947))=-Inf","reverse_text":"-Inf=↽≂(⊖∈(⋰*⋻1655∙⊟⋰*⋻1981)≦↸(⋰*⋻4120⩨⋰*⋻3947))","cot":[{"info":"⋰*⋻1655∙⊟⋰*⋻1981=⋰*⋻26090","layer":3},{"info":"⋰*⋻4120⩨⋰*⋻3947=⋰*⋻0","layer":3},{"info":"⋰*⋻26090≦↸⋰*⋻0=⋰*⋻-50701","layer":2},{"info":"⊖∈⋰*⋻-50701=Inf","layer":1},{"info":"↽≂Inf=-Inf","layer":0}]}
{"id":426,"expression_no_base_symbol":"(⊽(($3048$∇⊂⋱$3227$)⇻⋧≁($1150$∪⫐$3702$)))⇆⨓≜","expression":"(⊽((⋰*⋻2321∇⊂⋱⋰*⋻2474)⇻⋧≁(⋰*⋻956∪⫐⋰*⋻2866)))⇆⨓≜","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5757,"operation_count":5,"complexity_ratio":1151.4,"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":3048,"base":11},"right_expr":{"type":"numeric_atoms","value":3227,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1150,"base":11},"right_expr":{"type":"numeric_atoms","value":3702,"base":11}}}}},"used_operators":["KvvgdUaMHJ","QxG7OkqoLX","jCPkEVoL5K","nhYeJWJD5X","7YooWSwCyH"],"dependent_operators":["Uaa54Peajs","KYD54nUTWz","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3048","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=3227, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5550","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=3702","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=3702, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1150","layer":3},{"info":"compute binary expreesion, left_input=5550, right_input=1150, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊽((⋰*⋻2321∇⊂⋱⋰*⋻2474)⇻⋧≁(⋰*⋻956∪⫐⋰*⋻2866)))⇆⨓≜=NaN","reverse_text":"NaN=(⊽((⋰*⋻2321∇⊂⋱⋰*⋻2474)⇻⋧≁(⋰*⋻956∪⫐⋰*⋻2866)))⇆⨓≜","cot":[{"info":"⋰*⋻2321∇⊂⋱⋰*⋻2474=⋰*⋻4196","layer":3},{"info":"⋰*⋻956∪⫐⋰*⋻2866=⋰*⋻956","layer":3},{"info":"⋰*⋻4196⇻⋧≁⋰*⋻956=⋰*⋻-377","layer":2},{"info":"⊽⋰*⋻-377=⋰*⋻0","layer":1},{"info":"⋰*⋻0⇆⨓≜=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"(((≯$2359$)⇪⋭)↦)∪⫐($1324$≌$7786$)⨿($5348$⪚$1283$)∳⫺($1186$⩚⊴⇥$3214$⇮⋭$8537$⫸⊐$1306$)","expression":"(((≯⋰*⋻1855)⇪⋭)↦)∪⫐(⋰*⋻AA4≌⋰*⋻5939)⨿(⋰*⋻4022⪚⋰*⋻A67)∳⫺(⋰*⋻989⩚⊴⇥⋰*⋻2462⇮⋭⋰*⋻6461⫸⊐⋰*⋻A88)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8389,"operation_count":11,"complexity_ratio":762.6363636363636,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2359,"base":11}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1324,"base":11},"right_expr":{"type":"numeric_atoms","value":7786,"base":11}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5348,"base":11},"right_expr":{"type":"numeric_atoms","value":1283,"base":11}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1186,"base":11},"right_expr":{"type":"numeric_atoms","value":3214,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":8537,"base":11},"right_expr":{"type":"numeric_atoms","value":1306,"base":11}}}}},"used_operators":["7YooWSwCyH","fFznvYxMfW","Z8Yg6dlDSp","keWfFq85dY","AzXXKTstlj","abYXlopdE0","lyWz822IDG","HrjLwUk87U","vkpjKywKVM","NTOWxs364D","mqXw5SEYmG"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","g55IO6H4Gj","JLbD19bQDL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻-62","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2359","layer":4},{"info":"compute unary expreesion, input=2359, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-68","layer":1},{"info":"number node, value=1324","layer":4},{"info":"number node, value=7786","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=7786, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=5348","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=5348, right_input=1283, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=7774","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7774, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1186","layer":4},{"info":"number node, value=3214","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=3214, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4521","layer":3},{"info":"number node, value=8537","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=8537, right_input=1306, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5099","layer":3},{"info":"compute binary expreesion, left_input=-4521, right_input=5099, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=67, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-68, right_input=-260, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-68","layer":0}],"base":11,"result_base":11,"text":"(((≯⋰*⋻1855)⇪⋭)↦)∪⫐(⋰*⋻AA4≌⋰*⋻5939)⨿(⋰*⋻4022⪚⋰*⋻A67)∳⫺(⋰*⋻989⩚⊴⇥⋰*⋻2462⇮⋭⋰*⋻6461⫸⊐⋰*⋻A88)=⋰*⋻-62","reverse_text":"⋰*⋻-62=(((≯⋰*⋻1855)⇪⋭)↦)∪⫐(⋰*⋻AA4≌⋰*⋻5939)⨿(⋰*⋻4022⪚⋰*⋻A67)∳⫺(⋰*⋻989⩚⊴⇥⋰*⋻2462⇮⋭⋰*⋻6461⫸⊐⋰*⋻A88)","cot":[{"info":"≯⋰*⋻1855=⋰*⋻0","layer":3},{"info":"⋰*⋻0⇪⋭=⋰*⋻0","layer":2},{"info":"⋰*⋻0↦=⋰*⋻-62","layer":1},{"info":"⋰*⋻AA4≌⋰*⋻5939=NaN","layer":3},{"info":"⋰*⋻4022⪚⋰*⋻A67=⋰*⋻5928","layer":3},{"info":"NaN⨿⋰*⋻5928=⋰*⋻61","layer":2},{"info":"⋰*⋻989⩚⊴⇥⋰*⋻2462=⋰*⋻-3440","layer":3},{"info":"⋰*⋻6461⫸⊐⋰*⋻A88=⋰*⋻3916","layer":3},{"info":"⋰*⋻-3440⇮⋭⋰*⋻3916=⋰*⋻61","layer":2},{"info":"⋰*⋻61∳⫺⋰*⋻61=⋰*⋻-217","layer":1},{"info":"⋰*⋻-62∪⫐⋰*⋻-217=⋰*⋻-62","layer":0}]}
{"id":428,"expression_no_base_symbol":"($1087$⫒⫫$1123$⨽(⇺⋃$5052$)⩹($4001$∌$1431$)∘($2021$⨭⪣$1019$))↼⊘⨖($3783$∌$2338$⩵∡$3082$⫸⇳$3155$)⪝(($1001$⊓⋫)⋕⪉⪜($1212$→⨶⪴$2336$))","expression":"(⋰*⋻8A9⫒⫫⋰*⋻931⨽(⇺⋃⋰*⋻3883)⩹(⋰*⋻3008∌⋰*⋻1091)∘(⋰*⋻1578⨭⪣⋰*⋻847))↼⊘⨖(⋰*⋻292A∌⋰*⋻1836⩵∡⋰*⋻2352⫸⇳⋰*⋻2409)⪝((⋰*⋻830⊓⋫)⋕⪉⪜(⋰*⋻A02→⨶⪴⋰*⋻1834))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":619,"operation_count":15,"complexity_ratio":41.266666666666666,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1087,"base":11},"right_expr":{"type":"numeric_atoms","value":1123,"base":11}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":5052,"base":11}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4001,"base":11},"right_expr":{"type":"numeric_atoms","value":1431,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2021,"base":11},"right_expr":{"type":"numeric_atoms","value":1019,"base":11}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3783,"base":11},"right_expr":{"type":"numeric_atoms","value":2338,"base":11}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3082,"base":11},"right_expr":{"type":"numeric_atoms","value":3155,"base":11}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":1001,"base":11}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1212,"base":11},"right_expr":{"type":"numeric_atoms","value":2336,"base":11}}}}},"used_operators":["bPywburJMS","2Wsdkap16l","8HhzD0ZcuI","6Ko8hGgeMq","E5v5B3UAjG","Z5m6OM72h2","8cLx32lpNA","kn8WO9XteQ","wicAB68Tmb","Y7wcNGrDQJ","gx7XJ7hdpj","z6LnFrNh4i","IqGBaFP0uj","bF6eod5Gvf"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","eH2TOUuTDT","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw"],"result":"⋰*⋻-233A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=1123, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=5052","layer":4},{"info":"compute unary expreesion, input=5052, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=4001","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=4001, right_input=1431, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1431","layer":3},{"info":"number node, value=2021","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=1019, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=742","layer":3},{"info":"compute binary expreesion, left_input=-1431, right_input=742, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-2862","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2862, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2864","layer":1},{"info":"number node, value=3783","layer":4},{"info":"number node, value=2338","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=2338, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2338","layer":3},{"info":"number node, value=3082","layer":4},{"info":"number node, value=3155","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=3155, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2338, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=6893","layer":2},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1129","layer":3},{"info":"number node, value=1212","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=2336, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7008","layer":3},{"info":"compute binary expreesion, left_input=-1129, right_input=-7008, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=6893, right_input=2802, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-16763","layer":1},{"info":"compute binary expreesion, left_input=-2864, right_input=-16763, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-33748","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻8A9⫒⫫⋰*⋻931⨽(⇺⋃⋰*⋻3883)⩹(⋰*⋻3008∌⋰*⋻1091)∘(⋰*⋻1578⨭⪣⋰*⋻847))↼⊘⨖(⋰*⋻292A∌⋰*⋻1836⩵∡⋰*⋻2352⫸⇳⋰*⋻2409)⪝((⋰*⋻830⊓⋫)⋕⪉⪜(⋰*⋻A02→⨶⪴⋰*⋻1834))=⋰*⋻-233A0","reverse_text":"⋰*⋻-233A0=(⋰*⋻8A9⫒⫫⋰*⋻931⨽(⇺⋃⋰*⋻3883)⩹(⋰*⋻3008∌⋰*⋻1091)∘(⋰*⋻1578⨭⪣⋰*⋻847))↼⊘⨖(⋰*⋻292A∌⋰*⋻1836⩵∡⋰*⋻2352⫸⇳⋰*⋻2409)⪝((⋰*⋻830⊓⋫)⋕⪉⪜(⋰*⋻A02→⨶⪴⋰*⋻1834))","cot":[{"info":"⋰*⋻8A9⫒⫫⋰*⋻931=NaN","layer":3},{"info":"⇺⋃⋰*⋻3883=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⋰*⋻3008∌⋰*⋻1091=⋰*⋻-1091","layer":3},{"info":"⋰*⋻1578⨭⪣⋰*⋻847=⋰*⋻615","layer":3},{"info":"⋰*⋻-1091∘⋰*⋻615=⋰*⋻-2172","layer":2},{"info":"NaN⩹⋰*⋻-2172=⋰*⋻-2174","layer":1},{"info":"⋰*⋻292A∌⋰*⋻1836=⋰*⋻-1836","layer":3},{"info":"⋰*⋻2352⫸⇳⋰*⋻2409=⋰*⋻0","layer":3},{"info":"⋰*⋻-1836⩵∡⋰*⋻0=⋰*⋻51A7","layer":2},{"info":"⋰*⋻830⊓⋫=⋰*⋻-937","layer":3},{"info":"⋰*⋻A02→⨶⪴⋰*⋻1834=⋰*⋻-52A1","layer":3},{"info":"⋰*⋻-937⋕⪉⪜⋰*⋻-52A1=⋰*⋻2118","layer":2},{"info":"⋰*⋻51A7⪝⋰*⋻2118=⋰*⋻-1165A","layer":1},{"info":"⋰*⋻-2174↼⊘⨖⋰*⋻-1165A=⋰*⋻-233A0","layer":0}]}
{"id":429,"expression_no_base_symbol":"((≸$4715$)⨔≚≋(⇋↷$1578$)⩺⪪(⫇$1791$)⋾⨃∁$3705$⨥⫆$3527$)↤⩊((↣≠⋷$4888$)⋕⪉⪜(⩪∧⨌$1169$)⨎$4900$⋹⋡⊁$1787$⪔(↸⊣$1682$))","expression":"((≸⋰*⋻35A7)⨔≚≋(⇋↷⋰*⋻1205)⩺⪪(⫇⋰*⋻1389)⋾⨃∁⋰*⋻2869⨥⫆⋰*⋻2717)↤⩊((↣≠⋷⋰*⋻3744)⋕⪉⪜(⩪∧⨌⋰*⋻973)⨎⋰*⋻3755⋹⋡⊁⋰*⋻1385⪔(↸⊣⋰*⋻129A))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":64541,"operation_count":15,"complexity_ratio":4302.733333333334,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":4715,"base":11}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1578,"base":11}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1791,"base":11}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3705,"base":11},"right_expr":{"type":"numeric_atoms","value":3527,"base":11}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4888,"base":11}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1169,"base":11}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4900,"base":11},"right_expr":{"type":"numeric_atoms","value":1787,"base":11}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1682,"base":11}}}}},"used_operators":["13rbtpv6ld","uvdQJvN4PV","Z57zeUYC9z","eOf03JbCpp","SWo3A1KBJH","212REbPD9h","YjI8oCXuph","yXekIHxTD4","rJVOvQCfKK","z6LnFrNh4i","Asc51vEJeQ","6iOiAJX1F8","GjBEYRfMaF","As8RqfVLgs","wztAlM01eG"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4715","layer":4},{"info":"compute unary expreesion, input=4715, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12624","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=12624, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-104680","layer":2},{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2368","layer":3},{"info":"number node, value=3705","layer":4},{"info":"number node, value=3527","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=3527, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6930","layer":3},{"info":"compute binary expreesion, left_input=-2368, right_input=6930, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-104680, right_input=160, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"number node, value=4888","layer":4},{"info":"compute unary expreesion, input=4888, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=11690","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11690, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=4900","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=4900, right_input=1787, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2537","layer":3},{"info":"number node, value=1682","layer":4},{"info":"compute unary expreesion, input=1682, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1395","layer":3},{"info":"compute binary expreesion, left_input=2537, right_input=-1395, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=450, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=450","layer":1},{"info":"compute binary expreesion, left_input=-1818, right_input=450, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≸⋰*⋻35A7)⨔≚≋(⇋↷⋰*⋻1205)⩺⪪(⫇⋰*⋻1389)⋾⨃∁⋰*⋻2869⨥⫆⋰*⋻2717)↤⩊((↣≠⋷⋰*⋻3744)⋕⪉⪜(⩪∧⨌⋰*⋻973)⨎⋰*⋻3755⋹⋡⊁⋰*⋻1385⪔(↸⊣⋰*⋻129A))=NaN","reverse_text":"NaN=((≸⋰*⋻35A7)⨔≚≋(⇋↷⋰*⋻1205)⩺⪪(⫇⋰*⋻1389)⋾⨃∁⋰*⋻2869⨥⫆⋰*⋻2717)↤⩊((↣≠⋷⋰*⋻3744)⋕⪉⪜(⩪∧⨌⋰*⋻973)⨎⋰*⋻3755⋹⋡⊁⋰*⋻1385⪔(↸⊣⋰*⋻129A))","cot":[{"info":"≸⋰*⋻35A7=⋰*⋻53","layer":3},{"info":"⇋↷⋰*⋻1205=⋰*⋻9537","layer":3},{"info":"⋰*⋻53⨔≚≋⋰*⋻9537=⋰*⋻-71714","layer":2},{"info":"⫇⋰*⋻1389=⋰*⋻-1863","layer":3},{"info":"⋰*⋻2869⨥⫆⋰*⋻2717=⋰*⋻5230","layer":3},{"info":"⋰*⋻-1863⋾⨃∁⋰*⋻5230=⋰*⋻136","layer":2},{"info":"⋰*⋻-71714⩺⪪⋰*⋻136=⋰*⋻-1403","layer":1},{"info":"↣≠⋷⋰*⋻3744=NaN","layer":3},{"info":"⩪∧⨌⋰*⋻973=⋰*⋻8868","layer":3},{"info":"NaN⋕⪉⪜⋰*⋻8868=⋰*⋻176","layer":2},{"info":"⋰*⋻3755⋹⋡⊁⋰*⋻1385=⋰*⋻19A7","layer":3},{"info":"↸⊣⋰*⋻129A=⋰*⋻-1059","layer":3},{"info":"⋰*⋻19A7⪔⋰*⋻-1059=⋰*⋻37A","layer":2},{"info":"⋰*⋻176⨎⋰*⋻37A=⋰*⋻37A","layer":1},{"info":"⋰*⋻-1403↤⩊⋰*⋻37A=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"((($3790$∳⫺$1088$)⋹)≚⊃≕(($3125$⋷$2349$)≑≱⪘))∣($2882$⫲≸⪮$5012$⨎$1692$⪕$1662$)+⪬∐(($3900$⩚⊴⇥$6660$)⇌⫙⪟$1303$⪥$2456$)","expression":"(((⋰*⋻2936∳⫺⋰*⋻8AA)⋹)≚⊃≕((⋰*⋻2391⋷⋰*⋻1846)≑≱⪘))∣(⋰*⋻2190⫲≸⪮⋰*⋻3847⨎⋰*⋻12A9⪕⋰*⋻1281)+⪬∐((⋰*⋻2A26⩚⊴⇥⋰*⋻5005)⇌⫙⪟⋰*⋻A85⪥⋰*⋻1933)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3199,"operation_count":13,"complexity_ratio":246.07692307692307,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3790,"base":11},"right_expr":{"type":"numeric_atoms","value":1088,"base":11}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3125,"base":11},"right_expr":{"type":"numeric_atoms","value":2349,"base":11}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2882,"base":11},"right_expr":{"type":"numeric_atoms","value":5012,"base":11}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1692,"base":11},"right_expr":{"type":"numeric_atoms","value":1662,"base":11}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3900,"base":11},"right_expr":{"type":"numeric_atoms","value":6660,"base":11}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1303,"base":11},"right_expr":{"type":"numeric_atoms","value":2456,"base":11}}}}},"used_operators":["PPChnnnBFF","Bmrmz2XGnR","opAxDRczMr","AzXXKTstlj","tGSeddj7UK","23Mk6UjR3U","2GS7woTJqF","rJVOvQCfKK","P3lXMJvFrc","umQnsF7QlU","AFVx7xoS7T","NTOWxs364D","QbnwKVWMIQ"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⋰*⋻7A011","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3790","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=3790, right_input=1088, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"number node, value=3125","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=2349, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1573","layer":3},{"info":"compute unary expreesion, input=1573, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=37263","layer":2},{"info":"compute binary expreesion, left_input=-20, right_input=37263, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-115325","layer":1},{"info":"number node, value=2882","layer":4},{"info":"number node, value=5012","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=5012, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2882","layer":3},{"info":"number node, value=1692","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=1662, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2623","layer":3},{"info":"compute binary expreesion, left_input=2882, right_input=2623, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2623","layer":2},{"info":"number node, value=3900","layer":4},{"info":"number node, value=6660","layer":4},{"info":"compute binary expreesion, left_input=3900, right_input=6660, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10681","layer":3},{"info":"number node, value=1303","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2456, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9864","layer":3},{"info":"compute binary expreesion, left_input=-10681, right_input=9864, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=2623, right_input=113, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7869","layer":1},{"info":"compute binary expreesion, left_input=-115325, right_input=-7869, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=115809","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2936∳⫺⋰*⋻8AA)⋹)≚⊃≕((⋰*⋻2391⋷⋰*⋻1846)≑≱⪘))∣(⋰*⋻2190⫲≸⪮⋰*⋻3847⨎⋰*⋻12A9⪕⋰*⋻1281)+⪬∐((⋰*⋻2A26⩚⊴⇥⋰*⋻5005)⇌⫙⪟⋰*⋻A85⪥⋰*⋻1933)=⋰*⋻7A011","reverse_text":"⋰*⋻7A011=(((⋰*⋻2936∳⫺⋰*⋻8AA)⋹)≚⊃≕((⋰*⋻2391⋷⋰*⋻1846)≑≱⪘))∣(⋰*⋻2190⫲≸⪮⋰*⋻3847⨎⋰*⋻12A9⪕⋰*⋻1281)+⪬∐((⋰*⋻2A26⩚⊴⇥⋰*⋻5005)⇌⫙⪟⋰*⋻A85⪥⋰*⋻1933)","cot":[{"info":"⋰*⋻2936∳⫺⋰*⋻8AA=⋰*⋻-217","layer":3},{"info":"⋰*⋻-217⋹=⋰*⋻-19","layer":2},{"info":"⋰*⋻2391⋷⋰*⋻1846=⋰*⋻1200","layer":3},{"info":"⋰*⋻1200≑≱⪘=⋰*⋻25AA6","layer":2},{"info":"⋰*⋻-19≚⊃≕⋰*⋻25AA6=⋰*⋻-79711","layer":1},{"info":"⋰*⋻2190⫲≸⪮⋰*⋻3847=⋰*⋻2190","layer":3},{"info":"⋰*⋻12A9⪕⋰*⋻1281=⋰*⋻1A75","layer":3},{"info":"⋰*⋻2190⨎⋰*⋻1A75=⋰*⋻1A75","layer":2},{"info":"⋰*⋻2A26⩚⊴⇥⋰*⋻5005=⋰*⋻-8030","layer":3},{"info":"⋰*⋻A85⪥⋰*⋻1933=⋰*⋻7458","layer":3},{"info":"⋰*⋻-8030⇌⫙⪟⋰*⋻7458=⋰*⋻A3","layer":2},{"info":"⋰*⋻1A75+⪬∐⋰*⋻A3=⋰*⋻-5A04","layer":1},{"info":"⋰*⋻-79711∣⋰*⋻-5A04=⋰*⋻7A011","layer":0}]}
{"id":431,"expression_no_base_symbol":"≯((⊆⋠$1037$)⊔$6367$≝⊿$4518$≳⇉(($2115$+$1357$)⨎$1981$∥⊢⊲$4615$))","expression":"≯((⊆⋠⋰*⋻863)⊔⋰*⋻4869≝⊿⋰*⋻3438≳⇉((⋰*⋻1653+⋰*⋻1024)⨎⋰*⋻1541∥⊢⊲⋰*⋻3516))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":138,"operation_count":8,"complexity_ratio":17.25,"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":1037,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":6367,"base":11},"right_expr":{"type":"numeric_atoms","value":4518,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2115,"base":11},"right_expr":{"type":"numeric_atoms","value":1357,"base":11}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1981,"base":11},"right_expr":{"type":"numeric_atoms","value":4615,"base":11}}}}},"used_operators":["keWfFq85dY","V0kx6qeWkN","E4l6HwMY31","EBhcHTkKd8","OKKcZfAt5B","rJVOvQCfKK","W4YGzv6Whe","v1UQAVDJRr"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=6367","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=6367, right_input=4518, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15936","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-15936, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-35","layer":2},{"info":"number node, value=2115","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=1357, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3472","layer":3},{"info":"number node, value=1981","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=4615, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3472, 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=-35, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≯((⊆⋠⋰*⋻863)⊔⋰*⋻4869≝⊿⋰*⋻3438≳⇉((⋰*⋻1653+⋰*⋻1024)⨎⋰*⋻1541∥⊢⊲⋰*⋻3516))=NaN","reverse_text":"NaN=≯((⊆⋠⋰*⋻863)⊔⋰*⋻4869≝⊿⋰*⋻3438≳⇉((⋰*⋻1653+⋰*⋻1024)⨎⋰*⋻1541∥⊢⊲⋰*⋻3516))","cot":[{"info":"⊆⋠⋰*⋻863=⋰*⋻0","layer":3},{"info":"⋰*⋻4869≝⊿⋰*⋻3438=⋰*⋻-10A78","layer":3},{"info":"⋰*⋻0⊔⋰*⋻-10A78=⋰*⋻-32","layer":2},{"info":"⋰*⋻1653+⋰*⋻1024=⋰*⋻2677","layer":3},{"info":"⋰*⋻1541∥⊢⊲⋰*⋻3516=NaN","layer":3},{"info":"⋰*⋻2677⨎NaN=NaN","layer":2},{"info":"⋰*⋻-32≳⇉NaN=NaN","layer":1},{"info":"≯NaN=NaN","layer":0}]}
{"id":432,"expression_no_base_symbol":"(≛$2547$⊕∕$1376$⨰($4996$⪹))⫏⊷","expression":"(≛⋰*⋻1A06⊕∕⋰*⋻1041⨰(⋰*⋻3832⪹))⫏⊷","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":72496,"operation_count":5,"complexity_ratio":14499.2,"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":2547,"base":11},"right_expr":{"type":"numeric_atoms","value":1376,"base":11}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4996,"base":11}}}}},"used_operators":["dcShxvzhyw","W7eaUhjymW","eewbuw0ToL","9cloC0Ngie","B3sABdIn96"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"⋰*⋻-686","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2547","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=1376, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2547","layer":3},{"info":"number node, value=4996","layer":4},{"info":"compute unary expreesion, input=4996, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=14484","layer":3},{"info":"compute binary expreesion, left_input=2547, right_input=14484, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-11927","layer":2},{"info":"compute unary expreesion, input=-11927, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-24091","layer":1},{"info":"compute unary expreesion, input=-24091, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":0}],"base":11,"result_base":11,"text":"(≛⋰*⋻1A06⊕∕⋰*⋻1041⨰(⋰*⋻3832⪹))⫏⊷=⋰*⋻-686","reverse_text":"⋰*⋻-686=(≛⋰*⋻1A06⊕∕⋰*⋻1041⨰(⋰*⋻3832⪹))⫏⊷","cot":[{"info":"⋰*⋻1A06⊕∕⋰*⋻1041=⋰*⋻1A06","layer":3},{"info":"⋰*⋻3832⪹=⋰*⋻A978","layer":3},{"info":"⋰*⋻1A06⨰⋰*⋻A978=⋰*⋻-8A63","layer":2},{"info":"≛⋰*⋻-8A63=⋰*⋻-17111","layer":1},{"info":"⋰*⋻-17111⫏⊷=⋰*⋻-686","layer":0}]}
{"id":433,"expression_no_base_symbol":"(($1511$⪢$7608$)∛$4598$∺≝⩲$5276$)⊴(($1827$↬⩅∪)⫲≸⪮$3627$⨟⋌⩍$7399$)≧⫂∧(⫓⪴(⇨($1186$⫢⨠$6186$)))","expression":"((⋰*⋻1154⪢⋰*⋻5797)∛⋰*⋻3500∺≝⩲⋰*⋻3A67)⊴((⋰*⋻1411↬⩅∪)⫲≸⪮⋰*⋻27A8⨟⋌⩍⋰*⋻5617)≧⫂∧(⫓⪴(⇨(⋰*⋻989⫢⨠⋰*⋻4714)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18705,"operation_count":11,"complexity_ratio":1700.4545454545455,"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":1511,"base":11},"right_expr":{"type":"numeric_atoms","value":7608,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4598,"base":11},"right_expr":{"type":"numeric_atoms","value":5276,"base":11}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1827,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3627,"base":11},"right_expr":{"type":"numeric_atoms","value":7399,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1186,"base":11},"right_expr":{"type":"numeric_atoms","value":6186,"base":11}}}}},"used_operators":["Ph9nP6C5qx","Nsiff2A1zJ","w2537kitQq","dWAJyo7jo9","KPf6cnQVty","P3lXMJvFrc","VJ330n2nnx","rGHVDoGpnC","eLxqMNBOBk","G9tJMlZ94a","xlXykHWxX1"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","k8jYdgA6NY","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","Tcnh7f0tEr","9HNa5Wba9A","k8jYdgA6NY","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⋰*⋻-3A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1511","layer":4},{"info":"number node, value=7608","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=7608, 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=4598","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=4598, right_input=5276, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-5481","layer":3},{"info":"number node, value=3627","layer":4},{"info":"number node, value=7399","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=7399, 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=-5481, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5481","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=5481, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1186","layer":4},{"info":"number node, value=6186","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=6186, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1154⪢⋰*⋻5797)∛⋰*⋻3500∺≝⩲⋰*⋻3A67)⊴((⋰*⋻1411↬⩅∪)⫲≸⪮⋰*⋻27A8⨟⋌⩍⋰*⋻5617)≧⫂∧(⫓⪴(⇨(⋰*⋻989⫢⨠⋰*⋻4714)))=⋰*⋻-3A0","reverse_text":"⋰*⋻-3A0=((⋰*⋻1154⪢⋰*⋻5797)∛⋰*⋻3500∺≝⩲⋰*⋻3A67)⊴((⋰*⋻1411↬⩅∪)⫲≸⪮⋰*⋻27A8⨟⋌⩍⋰*⋻5617)≧⫂∧(⫓⪴(⇨(⋰*⋻989⫢⨠⋰*⋻4714)))","cot":[{"info":"⋰*⋻1154⪢⋰*⋻5797=NaN","layer":3},{"info":"⋰*⋻3500∺≝⩲⋰*⋻3A67=⋰*⋻136","layer":3},{"info":"NaN∛⋰*⋻136=⋰*⋻61","layer":2},{"info":"⋰*⋻1411↬⩅∪=⋰*⋻-4133","layer":3},{"info":"⋰*⋻27A8⨟⋌⩍⋰*⋻5617=NaN","layer":3},{"info":"⋰*⋻-4133⫲≸⪮NaN=⋰*⋻4133","layer":2},{"info":"⋰*⋻61⊴⋰*⋻4133=NaN","layer":1},{"info":"⋰*⋻989⫢⨠⋰*⋻4714=⋰*⋻136","layer":3},{"info":"⇨⋰*⋻136=⋰*⋻0","layer":2},{"info":"⫓⪴⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN≧⫂∧⋰*⋻0=⋰*⋻-3A0","layer":0}]}
{"id":434,"expression_no_base_symbol":"($6769$⨳⩥⨓$4906$≬⋮($6390$⫌⩉⩟$8760$))⋕⪉⪜($1311$⩇∃⫛$4342$≭($1224$⊎←↗))⨸⪁$2556$⫘$4717$≹⇙⪍($1200$⨉)≥⨤⩑$1183$⪪$1567$⨔≚≋($5059$⨵⪆$1987$)","expression":"(⋰*⋻50A4⨳⩥⨓⋰*⋻3760≬⋮(⋰*⋻488A⫌⩉⩟⋰*⋻6644))⋕⪉⪜(⋰*⋻A92⩇∃⫛⋰*⋻3298≭(⋰*⋻A13⊎←↗))⨸⪁⋰*⋻1A14⫘⋰*⋻35A9≹⇙⪍(⋰*⋻9A1⨉)≥⨤⩑⋰*⋻986⪪⋰*⋻11A5⨔≚≋(⋰*⋻388A⨵⪆⋰*⋻1547)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":68460,"operation_count":15,"complexity_ratio":4564.0,"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":6769,"base":11},"right_expr":{"type":"numeric_atoms","value":4906,"base":11}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6390,"base":11},"right_expr":{"type":"numeric_atoms","value":8760,"base":11}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1311,"base":11},"right_expr":{"type":"numeric_atoms","value":4342,"base":11}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":1224,"base":11}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2556,"base":11},"right_expr":{"type":"numeric_atoms","value":4717,"base":11}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1200,"base":11}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1183,"base":11},"right_expr":{"type":"numeric_atoms","value":1567,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5059,"base":11},"right_expr":{"type":"numeric_atoms","value":1987,"base":11}}}}},"used_operators":["g55IO6H4Gj","z6LnFrNh4i","kbkesczE7y","nCS4ZIUYfx","XIIwhv8d0m","rxpJgHHUmx","1aApVXNlOP","dwb5p0fa6d","gJLn6v0xnP","AHs5Up7iyr","48vC8HMD2b","aMUSaJuDRU","Z57zeUYC9z","xD69zh8xqp","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","dWAJyo7jo9","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻2185","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6769","layer":4},{"info":"number node, value=4906","layer":4},{"info":"compute binary expreesion, left_input=6769, right_input=4906, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1863","layer":3},{"info":"number node, value=6390","layer":4},{"info":"number node, value=8760","layer":4},{"info":"compute binary expreesion, left_input=6390, right_input=8760, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-1863, right_input=-50, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1311","layer":4},{"info":"number node, value=4342","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=4342, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=3504","layer":3},{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-1763","layer":3},{"info":"compute binary expreesion, left_input=3504, right_input=-1763, 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=868, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=2556","layer":4},{"info":"number node, value=4717","layer":4},{"info":"compute binary expreesion, left_input=2556, right_input=4717, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3010261","layer":3},{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4728","layer":3},{"info":"compute binary expreesion, left_input=3010261, right_input=4728, 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=1183","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=1567, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-174722","layer":3},{"info":"number node, value=5059","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=5059, right_input=1987, 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=-174722, right_input=160, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=2791512","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2791512, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=1234, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2876","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻50A4⨳⩥⨓⋰*⋻3760≬⋮(⋰*⋻488A⫌⩉⩟⋰*⋻6644))⋕⪉⪜(⋰*⋻A92⩇∃⫛⋰*⋻3298≭(⋰*⋻A13⊎←↗))⨸⪁⋰*⋻1A14⫘⋰*⋻35A9≹⇙⪍(⋰*⋻9A1⨉)≥⨤⩑⋰*⋻986⪪⋰*⋻11A5⨔≚≋(⋰*⋻388A⨵⪆⋰*⋻1547)=⋰*⋻2185","reverse_text":"⋰*⋻2185=(⋰*⋻50A4⨳⩥⨓⋰*⋻3760≬⋮(⋰*⋻488A⫌⩉⩟⋰*⋻6644))⋕⪉⪜(⋰*⋻A92⩇∃⫛⋰*⋻3298≭(⋰*⋻A13⊎←↗))⨸⪁⋰*⋻1A14⫘⋰*⋻35A9≹⇙⪍(⋰*⋻9A1⨉)≥⨤⩑⋰*⋻986⪪⋰*⋻11A5⨔≚≋(⋰*⋻388A⨵⪆⋰*⋻1547)","cot":[{"info":"⋰*⋻50A4⨳⩥⨓⋰*⋻3760=⋰*⋻-1444","layer":3},{"info":"⋰*⋻488A⫌⩉⩟⋰*⋻6644=⋰*⋻-46","layer":3},{"info":"⋰*⋻-1444≬⋮⋰*⋻-46=⋰*⋻71A","layer":2},{"info":"⋰*⋻A92⩇∃⫛⋰*⋻3298=⋰*⋻26A6","layer":3},{"info":"⋰*⋻A13⊎←↗=⋰*⋻-1363","layer":3},{"info":"⋰*⋻26A6≭⋰*⋻-1363=NaN","layer":2},{"info":"⋰*⋻71A⋕⪉⪜NaN=⋰*⋻176","layer":1},{"info":"⋰*⋻1A14⫘⋰*⋻35A9=⋰*⋻1776721","layer":3},{"info":"⋰*⋻9A1⨉=⋰*⋻3609","layer":3},{"info":"⋰*⋻1776721≹⇙⪍⋰*⋻3609=NaN","layer":2},{"info":"⋰*⋻986⪪⋰*⋻11A5=⋰*⋻-10A2A9","layer":3},{"info":"⋰*⋻388A⨵⪆⋰*⋻1547=⋰*⋻136","layer":3},{"info":"⋰*⋻-10A2A9⨔≚≋⋰*⋻136=⋰*⋻1637339","layer":2},{"info":"NaN≥⨤⩑⋰*⋻1637339=⋰*⋻A22","layer":1},{"info":"⋰*⋻176⨸⪁⋰*⋻A22=⋰*⋻2185","layer":0}]}
{"id":435,"expression_no_base_symbol":"(⋗⩴⪓($4225$⩨$1256$⊜))∺≝⩲($1647$⊱⇼⊻$1519$⨪↰⇹(⇺⋃$2659$)⪨⊡(($3393$∴≳≥)⪒$2955$≬⋮$2786$))","expression":"(⋗⩴⪓(⋰*⋻31A1⩨⋰*⋻A42⊜))∺≝⩲(⋰*⋻1268⊱⇼⊻⋰*⋻1161⨪↰⇹(⇺⋃⋰*⋻1AA8)⪨⊡((⋰*⋻2605∴≳≥)⪒⋰*⋻2247≬⋮⋰*⋻2103))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2335,"operation_count":11,"complexity_ratio":212.27272727272728,"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":4225,"base":11},"right_expr":{"type":"numeric_atoms","value":1256,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1647,"base":11},"right_expr":{"type":"numeric_atoms","value":1519,"base":11}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2659,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":3393,"base":11}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2955,"base":11},"right_expr":{"type":"numeric_atoms","value":2786,"base":11}}}}},"used_operators":["KPf6cnQVty","nOKPl9n5zu","Eev2Q7dYIw","2DlMacCsIx","kuIXHzHcAH","tmPS8pqC7x","FyVja0WsTP","E5v5B3UAjG","f6k1SAg4EE","a3N2hFLK0J","kbkesczE7y"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rJVOvQCfKK","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4225","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=4225, right_input=1256, 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 = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1736","layer":2},{"info":"compute unary expreesion, input=1736, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-823","layer":1},{"info":"number node, value=1647","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=1519, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=2659","layer":4},{"info":"compute unary expreesion, input=2659, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = 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=434","layer":2},{"info":"number node, value=3393","layer":4},{"info":"compute unary expreesion, input=3393, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=13572","layer":3},{"info":"number node, value=2955","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=2955, right_input=2786, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=13572, right_input=868, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-14440","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=-14440, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=58549","layer":1},{"info":"compute binary expreesion, left_input=-823, right_input=58549, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⋗⩴⪓(⋰*⋻31A1⩨⋰*⋻A42⊜))∺≝⩲(⋰*⋻1268⊱⇼⊻⋰*⋻1161⨪↰⇹(⇺⋃⋰*⋻1AA8)⪨⊡((⋰*⋻2605∴≳≥)⪒⋰*⋻2247≬⋮⋰*⋻2103))=⋰*⋻136","reverse_text":"⋰*⋻136=(⋗⩴⪓(⋰*⋻31A1⩨⋰*⋻A42⊜))∺≝⩲(⋰*⋻1268⊱⇼⊻⋰*⋻1161⨪↰⇹(⇺⋃⋰*⋻1AA8)⪨⊡((⋰*⋻2605∴≳≥)⪒⋰*⋻2247≬⋮⋰*⋻2103))","cot":[{"info":"⋰*⋻31A1⩨⋰*⋻A42=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊜=⋰*⋻1339","layer":2},{"info":"⋗⩴⪓⋰*⋻1339=⋰*⋻-689","layer":1},{"info":"⋰*⋻1268⊱⇼⊻⋰*⋻1161=⋰*⋻365","layer":3},{"info":"⇺⋃⋰*⋻1AA8=NaN","layer":3},{"info":"⋰*⋻365⨪↰⇹NaN=⋰*⋻365","layer":2},{"info":"⋰*⋻2605∴≳≥=⋰*⋻A219","layer":3},{"info":"⋰*⋻2247≬⋮⋰*⋻2103=⋰*⋻71A","layer":3},{"info":"⋰*⋻A219⪒⋰*⋻71A=⋰*⋻-A938","layer":2},{"info":"⋰*⋻365⪨⊡⋰*⋻-A938=⋰*⋻3AA97","layer":1},{"info":"⋰*⋻-689∺≝⩲⋰*⋻3AA97=⋰*⋻136","layer":0}]}
{"id":436,"expression_no_base_symbol":"(⊿$1526$⋻⩜⩜$4864$)≧⫂∧($2682$⪕$2616$⊋≦⊧($3420$⊭↱$1337$))⨸⪁(⫶⊄≣(⇋⊎⋝(⋗⩴⪓$1028$)))","expression":"(⊿⋰*⋻1168⋻⩜⩜⋰*⋻3722)≧⫂∧(⋰*⋻2019⪕⋰*⋻1A69⊋≦⊧(⋰*⋻262A⊭↱⋰*⋻1006))⨸⪁(⫶⊄≣(⇋⊎⋝(⋗⩴⪓⋰*⋻855)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":69381,"operation_count":10,"complexity_ratio":6938.1,"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":1526,"base":11},"right_expr":{"type":"numeric_atoms","value":4864,"base":11}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2682,"base":11},"right_expr":{"type":"numeric_atoms","value":2616,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3420,"base":11},"right_expr":{"type":"numeric_atoms","value":1337,"base":11}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1028,"base":11}}}}},"used_operators":["g55IO6H4Gj","Ph9nP6C5qx","DO4fhlbJSI","oDCm7WA9JY","oRDoc9rAEX","umQnsF7QlU","COABgblf1C","wxb3vTeyAj","CzM2PEoXns","nOKPl9n5zu"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","dWAJyo7jo9","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"number node, value=4864","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=4864, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3052","layer":3},{"info":"compute unary expreesion, input=3052, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-12946","layer":2},{"info":"number node, value=2682","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=2682, right_input=2616, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3649","layer":3},{"info":"number node, value=3420","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=3420, right_input=1337, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4161","layer":3},{"info":"compute binary expreesion, left_input=3649, right_input=-4161, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=8562","layer":2},{"info":"compute binary expreesion, left_input=-12946, right_input=8562, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8089","layer":1},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-115","layer":3},{"info":"compute unary expreesion, input=-115, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8089, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊿⋰*⋻1168⋻⩜⩜⋰*⋻3722)≧⫂∧(⋰*⋻2019⪕⋰*⋻1A69⊋≦⊧(⋰*⋻262A⊭↱⋰*⋻1006))⨸⪁(⫶⊄≣(⇋⊎⋝(⋗⩴⪓⋰*⋻855)))=NaN","reverse_text":"NaN=(⊿⋰*⋻1168⋻⩜⩜⋰*⋻3722)≧⫂∧(⋰*⋻2019⪕⋰*⋻1A69⊋≦⊧(⋰*⋻262A⊭↱⋰*⋻1006))⨸⪁(⫶⊄≣(⇋⊎⋝(⋗⩴⪓⋰*⋻855)))","cot":[{"info":"⋰*⋻1168⋻⩜⩜⋰*⋻3722=⋰*⋻2325","layer":3},{"info":"⊿⋰*⋻2325=⋰*⋻-97AA","layer":2},{"info":"⋰*⋻2019⪕⋰*⋻1A69=⋰*⋻2818","layer":3},{"info":"⋰*⋻262A⊭↱⋰*⋻1006=⋰*⋻-3143","layer":3},{"info":"⋰*⋻2818⊋≦⊧⋰*⋻-3143=⋰*⋻6484","layer":2},{"info":"⋰*⋻-97AA≧⫂∧⋰*⋻6484=⋰*⋻6094","layer":1},{"info":"⋗⩴⪓⋰*⋻855=⋰*⋻-A5","layer":3},{"info":"⇋⊎⋝⋰*⋻-A5=NaN","layer":2},{"info":"⫶⊄≣NaN=NaN","layer":1},{"info":"⋰*⋻6094⨸⪁NaN=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"(⇖⫷⫕($2632$⋅⇍$2856$)⫯⪬∳(⨵≀≌$6757$))⨔⇊(↘($5751$∠⫱$2156$)⨚$4013$↹⊜$7294$)","expression":"(⇖⫷⫕(⋰*⋻1A83⋅⇍⋰*⋻2167)⫯⪬∳(⨵≀≌⋰*⋻5093))⨔⇊(↘(⋰*⋻4359∠⫱⋰*⋻1690)⨚⋰*⋻3019↹⊜⋰*⋻5531)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1006,"operation_count":9,"complexity_ratio":111.77777777777777,"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":2632,"base":11},"right_expr":{"type":"numeric_atoms","value":2856,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6757,"base":11}}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5751,"base":11},"right_expr":{"type":"numeric_atoms","value":2156,"base":11}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4013,"base":11},"right_expr":{"type":"numeric_atoms","value":7294,"base":11}}}}},"used_operators":["JclMnS0uGI","UHmRx3INFg","d7ASUq0ydm","AdZkA7nFnk","srAu1WTS94","LdNpr8hQHL","nREPSIbpBE","QvoQhV0rrE","9bazX3JMtO"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","uFcxV4UQCh","BjRHVeLaeN","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⋰*⋻15A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2632","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=2856, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=6757","layer":4},{"info":"compute unary expreesion, input=6757, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20271","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-20271, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-407","layer":2},{"info":"compute unary expreesion, input=-407, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=5751","layer":4},{"info":"number node, value=2156","layer":4},{"info":"compute binary expreesion, left_input=5751, right_input=2156, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=4013","layer":4},{"info":"number node, value=7294","layer":4},{"info":"compute binary expreesion, left_input=4013, right_input=7294, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-21246","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-21246, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=88386","layer":2},{"info":"compute unary expreesion, input=88386, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=186","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=186, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=186","layer":0}],"base":11,"result_base":11,"text":"(⇖⫷⫕(⋰*⋻1A83⋅⇍⋰*⋻2167)⫯⪬∳(⨵≀≌⋰*⋻5093))⨔⇊(↘(⋰*⋻4359∠⫱⋰*⋻1690)⨚⋰*⋻3019↹⊜⋰*⋻5531)=⋰*⋻15A","reverse_text":"⋰*⋻15A=(⇖⫷⫕(⋰*⋻1A83⋅⇍⋰*⋻2167)⫯⪬∳(⨵≀≌⋰*⋻5093))⨔⇊(↘(⋰*⋻4359∠⫱⋰*⋻1690)⨚⋰*⋻3019↹⊜⋰*⋻5531)","cot":[{"info":"⋰*⋻1A83⋅⇍⋰*⋻2167=⋰*⋻-20","layer":3},{"info":"⨵≀≌⋰*⋻5093=⋰*⋻-14259","layer":3},{"info":"⋰*⋻-20⫯⪬∳⋰*⋻-14259=⋰*⋻-340","layer":2},{"info":"⇖⫷⫕⋰*⋻-340=⋰*⋻2136","layer":1},{"info":"⋰*⋻4359∠⫱⋰*⋻1690=⋰*⋻A22","layer":3},{"info":"⋰*⋻3019↹⊜⋰*⋻5531=⋰*⋻-14A65","layer":3},{"info":"⋰*⋻A22⨚⋰*⋻-14A65=⋰*⋻60451","layer":2},{"info":"↘⋰*⋻60451=⋰*⋻15A","layer":1},{"info":"⋰*⋻2136⨔⇊⋰*⋻15A=⋰*⋻15A","layer":0}]}
{"id":438,"expression_no_base_symbol":"($1607$⋅⇍$3654$↺$5326$⨽∌$6020$)≠≀($2286$∲⫓$8382$)⨼⩣$4153$⇡⇂$2736$-(⪲⇎(⨴⫝(⪁⇼$1477$)))","expression":"(⋰*⋻1231⋅⇍⋰*⋻2822↺⋰*⋻4002⨽∌⋰*⋻4583)≠≀(⋰*⋻1799∲⫓⋰*⋻6330)⨼⩣⋰*⋻3136⇡⇂⋰*⋻2068-(⪲⇎(⨴⫝(⪁⇼⋰*⋻1123)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20733,"operation_count":11,"complexity_ratio":1884.8181818181818,"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":1607,"base":11},"right_expr":{"type":"numeric_atoms","value":3654,"base":11}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":5326,"base":11},"right_expr":{"type":"numeric_atoms","value":6020,"base":11}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2286,"base":11},"right_expr":{"type":"numeric_atoms","value":8382,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4153,"base":11},"right_expr":{"type":"numeric_atoms","value":2736,"base":11}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1477,"base":11}}}}},"used_operators":["rysDP5nf3Z","IwW236VD4Y","7j4O788W3g","AdZkA7nFnk","9samAPKr6k","JxwMv5le6e","i8ToyICDmI","UMwdvZNt44","XPYlsWDdGa","SVb2v531z1","ZNVVrZ94lY"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"⋰*⋻-3213560","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1607","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=3654, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=5326","layer":4},{"info":"number node, value=6020","layer":4},{"info":"compute binary expreesion, left_input=5326, right_input=6020, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, 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=2286","layer":4},{"info":"number node, value=8382","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=8382, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4153","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=4153, right_input=2736, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=306","layer":1},{"info":"number node, value=1477","layer":4},{"info":"compute unary expreesion, input=1477, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute unary expreesion, input=2828198, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5656396","layer":1},{"info":"compute binary expreesion, left_input=306, right_input=5656396, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5656090","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1231⋅⇍⋰*⋻2822↺⋰*⋻4002⨽∌⋰*⋻4583)≠≀(⋰*⋻1799∲⫓⋰*⋻6330)⨼⩣⋰*⋻3136⇡⇂⋰*⋻2068-(⪲⇎(⨴⫝(⪁⇼⋰*⋻1123)))=⋰*⋻-3213560","reverse_text":"⋰*⋻-3213560=(⋰*⋻1231⋅⇍⋰*⋻2822↺⋰*⋻4002⨽∌⋰*⋻4583)≠≀(⋰*⋻1799∲⫓⋰*⋻6330)⨼⩣⋰*⋻3136⇡⇂⋰*⋻2068-(⪲⇎(⨴⫝(⪁⇼⋰*⋻1123)))","cot":[{"info":"⋰*⋻1231⋅⇍⋰*⋻2822=⋰*⋻-20","layer":3},{"info":"⋰*⋻4002⨽∌⋰*⋻4583=⋰*⋻0","layer":3},{"info":"⋰*⋻-20↺⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻1799∲⫓⋰*⋻6330=⋰*⋻0","layer":3},{"info":"⋰*⋻3136⇡⇂⋰*⋻2068=NaN","layer":3},{"info":"⋰*⋻0⨼⩣NaN=NaN","layer":2},{"info":"⋰*⋻0≠≀NaN=⋰*⋻259","layer":1},{"info":"⪁⇼⋰*⋻1123=⋰*⋻354","layer":3},{"info":"⨴⫝⋰*⋻354=⋰*⋻166195A","layer":2},{"info":"⪲⇎⋰*⋻166195A=⋰*⋻3213809","layer":1},{"info":"⋰*⋻259-⋰*⋻3213809=⋰*⋻-3213560","layer":0}]}
{"id":439,"expression_no_base_symbol":"(⋗⩬⋾($2804$⋛$1046$≦≮≮))⫡⨏(($2242$⫃⨇$6184$)∴($3848$⨭⪣$5406$))⋕⪉⪜(($5251$⫸⇳$3613$)⊋($1010$≄⊠$3734$))","expression":"(⋗⩬⋾(⋰*⋻211A⋛⋰*⋻871≦≮≮))⫡⨏((⋰*⋻1759⫃⨇⋰*⋻4712)∴(⋰*⋻2989⨭⪣⋰*⋻4075))⋕⪉⪜((⋰*⋻3A44⫸⇳⋰*⋻2795)⊋(⋰*⋻839≄⊠⋰*⋻2895))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":505,"operation_count":11,"complexity_ratio":45.90909090909091,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2804,"base":11},"right_expr":{"type":"numeric_atoms","value":1046,"base":11}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2242,"base":11},"right_expr":{"type":"numeric_atoms","value":6184,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3848,"base":11},"right_expr":{"type":"numeric_atoms","value":5406,"base":11}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5251,"base":11},"right_expr":{"type":"numeric_atoms","value":3613,"base":11}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1010,"base":11},"right_expr":{"type":"numeric_atoms","value":3734,"base":11}}}}},"used_operators":["QMFrweE19q","DpFCA1CohY","D4vGDi5EA2","YbUVn0Rbpy","z6LnFrNh4i","hrf7POJlIJ","09Ly4LVMIf","kn8WO9XteQ","W4tP9CfskL","gx7XJ7hdpj","vXNesLlMH1"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⋰*⋻-2797220","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2804","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=1046, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-106956","layer":3},{"info":"compute unary expreesion, input=-106956, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=320868","layer":2},{"info":"compute unary expreesion, input=320868, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-962604","layer":1},{"info":"number node, value=2242","layer":4},{"info":"number node, value=6184","layer":4},{"info":"compute binary expreesion, left_input=2242, right_input=6184, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-24768","layer":3},{"info":"number node, value=3848","layer":4},{"info":"number node, value=5406","layer":4},{"info":"compute binary expreesion, left_input=3848, right_input=5406, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2569","layer":3},{"info":"compute binary expreesion, left_input=-24768, right_input=2569, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-47888","layer":2},{"info":"number node, value=5251","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=5251, right_input=3613, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=3734","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=3734, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=64412","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=64412, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-47888, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=-962604, right_input=204, 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=-4811829","layer":0}],"base":11,"result_base":11,"text":"(⋗⩬⋾(⋰*⋻211A⋛⋰*⋻871≦≮≮))⫡⨏((⋰*⋻1759⫃⨇⋰*⋻4712)∴(⋰*⋻2989⨭⪣⋰*⋻4075))⋕⪉⪜((⋰*⋻3A44⫸⇳⋰*⋻2795)⊋(⋰*⋻839≄⊠⋰*⋻2895))=⋰*⋻-2797220","reverse_text":"⋰*⋻-2797220=(⋗⩬⋾(⋰*⋻211A⋛⋰*⋻871≦≮≮))⫡⨏((⋰*⋻1759⫃⨇⋰*⋻4712)∴(⋰*⋻2989⨭⪣⋰*⋻4075))⋕⪉⪜((⋰*⋻3A44⫸⇳⋰*⋻2795)⊋(⋰*⋻839≄⊠⋰*⋻2895))","cot":[{"info":"⋰*⋻211A⋛⋰*⋻871=⋰*⋻-733A3","layer":3},{"info":"⋰*⋻-733A3≦≮≮=⋰*⋻1AA089","layer":2},{"info":"⋗⩬⋾⋰*⋻1AA089=⋰*⋻-5A8245","layer":1},{"info":"⋰*⋻1759⫃⨇⋰*⋻4712=⋰*⋻-17677","layer":3},{"info":"⋰*⋻2989⨭⪣⋰*⋻4075=⋰*⋻1A26","layer":3},{"info":"⋰*⋻-17677∴⋰*⋻1A26=⋰*⋻-32A85","layer":2},{"info":"⋰*⋻3A44⫸⇳⋰*⋻2795=⋰*⋻0","layer":3},{"info":"⋰*⋻839≄⊠⋰*⋻2895=⋰*⋻44437","layer":3},{"info":"⋰*⋻0⊋⋰*⋻44437=⋰*⋻0","layer":2},{"info":"⋰*⋻-32A85⋕⪉⪜⋰*⋻0=⋰*⋻176","layer":1},{"info":"⋰*⋻-5A8245⫡⨏⋰*⋻176=⋰*⋻-2797220","layer":0}]}
{"id":440,"expression_no_base_symbol":"(($4035$⪥$2022$)⩦($5362$⫁⪎$7144$)⪔($7954$⩒⫫$1639$)⪪($4000$≥⨤⩑$2789$))⩍⋽⫝̸(($5345$→⨶⪴$2059$-$7493$⫉⨲⊜$1461$)⪡($3134$⊬⨰$1790$⪃↞⩐))","expression":"((⋰*⋻3039⪥⋰*⋻1579)⩦(⋰*⋻4035⫁⪎⋰*⋻5405)⪔(⋰*⋻5A81⩒⫫⋰*⋻1260)⪪(⋰*⋻3007≥⨤⩑⋰*⋻2106))⩍⋽⫝̸((⋰*⋻401A→⨶⪴⋰*⋻1602-⋰*⋻56A2⫉⨲⊜⋰*⋻1109)⪡(⋰*⋻239A⊬⨰⋰*⋻1388⪃↞⩐))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24040,"operation_count":14,"complexity_ratio":1717.142857142857,"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":4035,"base":11},"right_expr":{"type":"numeric_atoms","value":2022,"base":11}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5362,"base":11},"right_expr":{"type":"numeric_atoms","value":7144,"base":11}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":7954,"base":11},"right_expr":{"type":"numeric_atoms","value":1639,"base":11}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4000,"base":11},"right_expr":{"type":"numeric_atoms","value":2789,"base":11}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5345,"base":11},"right_expr":{"type":"numeric_atoms","value":2059,"base":11}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":7493,"base":11},"right_expr":{"type":"numeric_atoms","value":1461,"base":11}}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3134,"base":11},"right_expr":{"type":"numeric_atoms","value":1790,"base":11}}}}},"used_operators":["BiWNJpBvwn","GjBEYRfMaF","0kmYd0q39Y","QbnwKVWMIQ","xRrnTEsQ6j","xD69zh8xqp","KFSx94NKJn","gJLn6v0xnP","oraRL2iQuh","rysDP5nf3Z","bF6eod5Gvf","WhqkvtTD3t","grXIztHqDa","s3Fd5m9Dh2"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8w2t5hMYqp","9FxExcQeMw","eewbuw0ToL","zVYPLywUTj","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻9331","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4035","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=2022, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=20792","layer":3},{"info":"number node, value=5362","layer":4},{"info":"number node, value=7144","layer":4},{"info":"compute binary expreesion, left_input=5362, right_input=7144, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1782","layer":3},{"info":"compute binary expreesion, left_input=20792, right_input=-1782, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=41584","layer":2},{"info":"number node, value=7954","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=7954, right_input=1639, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7652","layer":3},{"info":"number node, value=4000","layer":4},{"info":"number node, value=2789","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=2789, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=7652, right_input=1234, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1151541","layer":2},{"info":"compute binary expreesion, left_input=41584, right_input=-1151541, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=5345","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=5345, right_input=2059, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6177","layer":3},{"info":"number node, value=7493","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=7493, right_input=1461, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6177, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6177","layer":2},{"info":"number node, value=3134","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=1790, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9238","layer":3},{"info":"compute unary expreesion, input=9238, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=55734","layer":2},{"info":"compute binary expreesion, left_input=-6177, right_input=55734, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=13322","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=13322, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=12376","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3039⪥⋰*⋻1579)⩦(⋰*⋻4035⫁⪎⋰*⋻5405)⪔(⋰*⋻5A81⩒⫫⋰*⋻1260)⪪(⋰*⋻3007≥⨤⩑⋰*⋻2106))⩍⋽⫝̸((⋰*⋻401A→⨶⪴⋰*⋻1602-⋰*⋻56A2⫉⨲⊜⋰*⋻1109)⪡(⋰*⋻239A⊬⨰⋰*⋻1388⪃↞⩐))=⋰*⋻9331","reverse_text":"⋰*⋻9331=((⋰*⋻3039⪥⋰*⋻1579)⩦(⋰*⋻4035⫁⪎⋰*⋻5405)⪔(⋰*⋻5A81⩒⫫⋰*⋻1260)⪪(⋰*⋻3007≥⨤⩑⋰*⋻2106))⩍⋽⫝̸((⋰*⋻401A→⨶⪴⋰*⋻1602-⋰*⋻56A2⫉⨲⊜⋰*⋻1109)⪡(⋰*⋻239A⊬⨰⋰*⋻1388⪃↞⩐))","cot":[{"info":"⋰*⋻3039⪥⋰*⋻1579=⋰*⋻14692","layer":3},{"info":"⋰*⋻4035⫁⪎⋰*⋻5405=⋰*⋻-1380","layer":3},{"info":"⋰*⋻14692⩦⋰*⋻-1380=⋰*⋻29274","layer":2},{"info":"⋰*⋻5A81⩒⫫⋰*⋻1260=⋰*⋻5827","layer":3},{"info":"⋰*⋻3007≥⨤⩑⋰*⋻2106=⋰*⋻A22","layer":3},{"info":"⋰*⋻5827⪪⋰*⋻A22=⋰*⋻-717196","layer":2},{"info":"⋰*⋻29274⪔⋰*⋻-717196=⋰*⋻37A","layer":1},{"info":"⋰*⋻401A→⨶⪴⋰*⋻1602=⋰*⋻-4706","layer":3},{"info":"⋰*⋻56A2⫉⨲⊜⋰*⋻1109=⋰*⋻0","layer":3},{"info":"⋰*⋻-4706-⋰*⋻0=⋰*⋻-4706","layer":2},{"info":"⋰*⋻239A⊬⨰⋰*⋻1388=⋰*⋻6A39","layer":3},{"info":"⋰*⋻6A39⪃↞⩐=⋰*⋻38968","layer":2},{"info":"⋰*⋻-4706⪡⋰*⋻38968=⋰*⋻A011","layer":1},{"info":"⋰*⋻37A⩍⋽⫝̸⋰*⋻A011=⋰*⋻9331","layer":0}]}
{"id":441,"expression_no_base_symbol":"(⊽($3477$⩹$1788$))⫲≸⪮$5818$⪢$7246$≀⫉($1751$∲⫓$3620$)⊿∆","expression":"(⊽(⋰*⋻2681⩹⋰*⋻1386))⫲≸⪮⋰*⋻440A⪢⋰*⋻5498≀⫉(⋰*⋻1352∲⫓⋰*⋻27A1)⊿∆","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12517,"operation_count":7,"complexity_ratio":1788.142857142857,"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":3477,"base":11},"right_expr":{"type":"numeric_atoms","value":1788,"base":11}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5818,"base":11},"right_expr":{"type":"numeric_atoms","value":7246,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1751,"base":11},"right_expr":{"type":"numeric_atoms","value":3620,"base":11}}}}},"used_operators":["fv3ZujxkQL","P3lXMJvFrc","QxG7OkqoLX","2Wsdkap16l","oZj3VtZNQx","dWAJyo7jo9","i8ToyICDmI"],"dependent_operators":["NTOWxs364D","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-7822","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3477","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=3477, right_input=1788, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1786","layer":3},{"info":"compute unary expreesion, input=1786, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=5094","layer":2},{"info":"number node, value=5818","layer":4},{"info":"number node, value=7246","layer":4},{"info":"compute binary expreesion, left_input=5818, right_input=7246, 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=1751","layer":4},{"info":"number node, value=3620","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=3620, 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 = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5094, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5094","layer":1},{"info":"compute unary expreesion, input=5094, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-10309","layer":0}],"base":11,"result_base":11,"text":"(⊽(⋰*⋻2681⩹⋰*⋻1386))⫲≸⪮⋰*⋻440A⪢⋰*⋻5498≀⫉(⋰*⋻1352∲⫓⋰*⋻27A1)⊿∆=⋰*⋻-7822","reverse_text":"⋰*⋻-7822=(⊽(⋰*⋻2681⩹⋰*⋻1386))⫲≸⪮⋰*⋻440A⪢⋰*⋻5498≀⫉(⋰*⋻1352∲⫓⋰*⋻27A1)⊿∆","cot":[{"info":"⋰*⋻2681⩹⋰*⋻1386=⋰*⋻1384","layer":3},{"info":"⊽⋰*⋻1384=⋰*⋻3911","layer":2},{"info":"⋰*⋻440A⪢⋰*⋻5498=NaN","layer":3},{"info":"⋰*⋻1352∲⫓⋰*⋻27A1=⋰*⋻0","layer":3},{"info":"NaN≀⫉⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻3911⫲≸⪮NaN=⋰*⋻3911","layer":1},{"info":"⋰*⋻3911⊿∆=⋰*⋻-7822","layer":0}]}
{"id":442,"expression_no_base_symbol":"($1052$⨔≚≋$1521$⫡⨏(⊢≑≆$1097$))⋾⨃∁(⊥($1093$↼⊘⨖$1498$))⪨⊡(⪭⩑⪱(($5776$⊝⪿⪼$1394$)⫒⫫$7191$⪥$1669$))","expression":"(⋰*⋻877⨔≚≋⋰*⋻1163⫡⨏(⊢≑≆⋰*⋻908))⋾⨃∁(⊥(⋰*⋻904↼⊘⨖⋰*⋻1142))⪨⊡(⪭⩑⪱((⋰*⋻4381⊝⪿⪼⋰*⋻1058)⫒⫫⋰*⋻5448⪥⋰*⋻1288))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":525,"operation_count":11,"complexity_ratio":47.72727272727273,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1052,"base":11},"right_expr":{"type":"numeric_atoms","value":1521,"base":11}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1097,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1093,"base":11},"right_expr":{"type":"numeric_atoms","value":1498,"base":11}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5776,"base":11},"right_expr":{"type":"numeric_atoms","value":1394,"base":11}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":7191,"base":11},"right_expr":{"type":"numeric_atoms","value":1669,"base":11}}}}},"used_operators":["kuIXHzHcAH","212REbPD9h","QMFrweE19q","Z57zeUYC9z","27wFxooxGf","Q3PJZHRvZv","bPywburJMS","SIgE0bArFf","6Ko8hGgeMq","3Oe9XWJUTD","QbnwKVWMIQ"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","fu6greOZ01","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1052","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1521, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4840","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=4840, 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=59823","layer":2},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1498, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2774","layer":3},{"info":"compute unary expreesion, input=2774, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=59823, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"number node, value=5776","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=5776, right_input=1394, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=82144","layer":3},{"info":"number node, value=7191","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=7191, right_input=1669, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=33416","layer":3},{"info":"compute binary expreesion, left_input=82144, right_input=33416, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻877⨔≚≋⋰*⋻1163⫡⨏(⊢≑≆⋰*⋻908))⋾⨃∁(⊥(⋰*⋻904↼⊘⨖⋰*⋻1142))⪨⊡(⪭⩑⪱((⋰*⋻4381⊝⪿⪼⋰*⋻1058)⫒⫫⋰*⋻5448⪥⋰*⋻1288))=NaN","reverse_text":"NaN=(⋰*⋻877⨔≚≋⋰*⋻1163⫡⨏(⊢≑≆⋰*⋻908))⋾⨃∁(⊥(⋰*⋻904↼⊘⨖⋰*⋻1142))⪨⊡(⪭⩑⪱((⋰*⋻4381⊝⪿⪼⋰*⋻1058)⫒⫫⋰*⋻5448⪥⋰*⋻1288))","cot":[{"info":"⋰*⋻877⨔≚≋⋰*⋻1163=⋰*⋻7465","layer":3},{"info":"⊢≑≆⋰*⋻908=⋰*⋻3700","layer":3},{"info":"⋰*⋻7465⫡⨏⋰*⋻3700=⋰*⋻40A45","layer":2},{"info":"⋰*⋻904↼⊘⨖⋰*⋻1142=⋰*⋻20A2","layer":3},{"info":"⊥⋰*⋻20A2=NaN","layer":2},{"info":"⋰*⋻40A45⋾⨃∁NaN=NaN","layer":1},{"info":"⋰*⋻4381⊝⪿⪼⋰*⋻1058=⋰*⋻56797","layer":3},{"info":"⋰*⋻5448⪥⋰*⋻1288=⋰*⋻23119","layer":3},{"info":"⋰*⋻56797⫒⫫⋰*⋻23119=NaN","layer":2},{"info":"⪭⩑⪱NaN=⋰*⋻4773560","layer":1},{"info":"NaN⪨⊡⋰*⋻4773560=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"(($7292$⪨≂$2096$)⫳≱↱$5495$⊨$1163$)⪪($2343$⪇≇⋚$3145$)⨸($4550$⇮⋭$5211$)↙(($4690$⫥∨⫟$3609$)⪥⨬⪅)⪛⫼$3168$⩁⩘$1936$≀⫉$5827$⩍⋽⫝̸$7502$","expression":"((⋰*⋻552A⪨≂⋰*⋻1636)⫳≱↱⋰*⋻4146⊨⋰*⋻968)⪪(⋰*⋻1840⪇≇⋚⋰*⋻23AA)⨸(⋰*⋻3467⇮⋭⋰*⋻3A08)↙((⋰*⋻3584⫥∨⫟⋰*⋻2791)⪥⨬⪅)⪛⫼⋰*⋻2420⩁⩘⋰*⋻1500≀⫉⋰*⋻4418⩍⋽⫝̸⋰*⋻5700","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1352,"operation_count":14,"complexity_ratio":96.57142857142857,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7292,"base":11},"right_expr":{"type":"numeric_atoms","value":2096,"base":11}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5495,"base":11},"right_expr":{"type":"numeric_atoms","value":1163,"base":11}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2343,"base":11},"right_expr":{"type":"numeric_atoms","value":3145,"base":11}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4550,"base":11},"right_expr":{"type":"numeric_atoms","value":5211,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4690,"base":11},"right_expr":{"type":"numeric_atoms","value":3609,"base":11}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3168,"base":11},"right_expr":{"type":"numeric_atoms","value":1936,"base":11}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5827,"base":11},"right_expr":{"type":"numeric_atoms","value":7502,"base":11}}}}},"used_operators":["yyfyN0ffXY","xD69zh8xqp","ZvLB05nZmT","sdazOOVcIp","vg4gO5BX6G","KmoU8R5UQR","3sJ7IOPOlU","vkpjKywKVM","hyuBjUqXlG","zNRQejTB5A","KYD54nUTWz","oZj3VtZNQx","gub5Cegaqo","BiWNJpBvwn"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","FU0Cs4j7VP","JclMnS0uGI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","IWmyXbctLI","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⋰*⋻-4732","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7292","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=7292, right_input=2096, 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=10494","layer":3},{"info":"number node, value=5495","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=5495, right_input=1163, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=23011","layer":3},{"info":"compute binary expreesion, left_input=10494, right_input=23011, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=2343","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=3145, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4550","layer":4},{"info":"number node, value=5211","layer":4},{"info":"compute binary expreesion, left_input=4550, right_input=5211, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-473, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=498318","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=498318, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"number node, value=4690","layer":4},{"info":"number node, value=3609","layer":4},{"info":"compute binary expreesion, left_input=4690, right_input=3609, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=nan","layer":2},{"info":"number node, value=3168","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=3168, right_input=1936, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8692","layer":3},{"info":"number node, value=5827","layer":4},{"info":"number node, value=7502","layer":4},{"info":"compute binary expreesion, left_input=5827, right_input=7502, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=6556","layer":3},{"info":"compute binary expreesion, left_input=8692, right_input=6556, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=-6206, right_input=968, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6206","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻552A⪨≂⋰*⋻1636)⫳≱↱⋰*⋻4146⊨⋰*⋻968)⪪(⋰*⋻1840⪇≇⋚⋰*⋻23AA)⨸(⋰*⋻3467⇮⋭⋰*⋻3A08)↙((⋰*⋻3584⫥∨⫟⋰*⋻2791)⪥⨬⪅)⪛⫼⋰*⋻2420⩁⩘⋰*⋻1500≀⫉⋰*⋻4418⩍⋽⫝̸⋰*⋻5700=⋰*⋻-4732","reverse_text":"⋰*⋻-4732=((⋰*⋻552A⪨≂⋰*⋻1636)⫳≱↱⋰*⋻4146⊨⋰*⋻968)⪪(⋰*⋻1840⪇≇⋚⋰*⋻23AA)⨸(⋰*⋻3467⇮⋭⋰*⋻3A08)↙((⋰*⋻3584⫥∨⫟⋰*⋻2791)⪥⨬⪅)⪛⫼⋰*⋻2420⩁⩘⋰*⋻1500≀⫉⋰*⋻4418⩍⋽⫝̸⋰*⋻5700","cot":[{"info":"⋰*⋻552A⪨≂⋰*⋻1636=⋰*⋻7980","layer":3},{"info":"⋰*⋻4146⊨⋰*⋻968=⋰*⋻1631A","layer":3},{"info":"⋰*⋻7980⫳≱↱⋰*⋻1631A=⋰*⋻-176","layer":2},{"info":"⋰*⋻1840⪇≇⋚⋰*⋻23AA=⋰*⋻0","layer":3},{"info":"⋰*⋻3467⇮⋭⋰*⋻3A08=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻0⨸⋰*⋻-3A0=⋰*⋻310437","layer":2},{"info":"⋰*⋻-176⪪⋰*⋻310437=⋰*⋻-4732","layer":1},{"info":"⋰*⋻3584⫥∨⫟⋰*⋻2791=NaN","layer":3},{"info":"NaN⪥⨬⪅=NaN","layer":2},{"info":"⋰*⋻2420⩁⩘⋰*⋻1500=⋰*⋻6592","layer":3},{"info":"⋰*⋻4418⩍⋽⫝̸⋰*⋻5700=⋰*⋻4A20","layer":3},{"info":"⋰*⋻6592≀⫉⋰*⋻4A20=⋰*⋻2136","layer":2},{"info":"NaN⪛⫼⋰*⋻2136=⋰*⋻800","layer":1},{"info":"⋰*⋻-4732↙⋰*⋻800=⋰*⋻-4732","layer":0}]}
{"id":444,"expression_no_base_symbol":"⨙⪌(($1625$⨭⪣$7021$⋻⩜⩜$4527$⫢⨠$2004$)⩧⪆($1625$⫠)∣($2896$⇴∐$2336$))","expression":"⨙⪌((⋰*⋻1248⨭⪣⋰*⋻5303⋻⩜⩜⋰*⋻3446⫢⨠⋰*⋻1562)⩧⪆(⋰*⋻1248⫠)∣(⋰*⋻21A3⇴∐⋰*⋻1834))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26049,"operation_count":8,"complexity_ratio":3256.125,"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":1625,"base":11},"right_expr":{"type":"numeric_atoms","value":7021,"base":11}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4527,"base":11},"right_expr":{"type":"numeric_atoms","value":2004,"base":11}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1625,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2896,"base":11},"right_expr":{"type":"numeric_atoms","value":2336,"base":11}}}}},"used_operators":["vEGLkm4Z2k","Ikt5ks8PT7","oDCm7WA9JY","kn8WO9XteQ","xlXykHWxX1","PPChnnnBFF","6SnOT2rOjz","HnzytWxmAO"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eewbuw0ToL","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⋰*⋻71A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":4},{"info":"number node, value=7021","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=7021, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=346","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=2004","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=2004, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=346, right_input=160, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=692","layer":2},{"info":"number node, value=1625","layer":4},{"info":"compute unary expreesion, input=1625, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=2336, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=692, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":11,"result_base":11,"text":"⨙⪌((⋰*⋻1248⨭⪣⋰*⋻5303⋻⩜⩜⋰*⋻3446⫢⨠⋰*⋻1562)⩧⪆(⋰*⋻1248⫠)∣(⋰*⋻21A3⇴∐⋰*⋻1834))=⋰*⋻71A","reverse_text":"⋰*⋻71A=⨙⪌((⋰*⋻1248⨭⪣⋰*⋻5303⋻⩜⩜⋰*⋻3446⫢⨠⋰*⋻1562)⩧⪆(⋰*⋻1248⫠)∣(⋰*⋻21A3⇴∐⋰*⋻1834))","cot":[{"info":"⋰*⋻1248⨭⪣⋰*⋻5303=⋰*⋻295","layer":3},{"info":"⋰*⋻3446⫢⨠⋰*⋻1562=⋰*⋻136","layer":3},{"info":"⋰*⋻295⋻⩜⩜⋰*⋻136=⋰*⋻57A","layer":2},{"info":"⋰*⋻1248⫠=⋰*⋻0","layer":3},{"info":"⋰*⋻21A3⇴∐⋰*⋻1834=NaN","layer":3},{"info":"⋰*⋻0∣NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻57A⩧⪆⋰*⋻0=⋰*⋻0","layer":1},{"info":"⨙⪌⋰*⋻0=⋰*⋻71A","layer":0}]}
{"id":445,"expression_no_base_symbol":"(∜⨇($6369$⨒$1009$⊍⩺⋍(⇤←$1507$)))∇⊂⋱(($5337$∑⇟⊟$1679$)⨽∌($1240$⪨⊡$7529$)⇄$3280$⨼⩣$1390$⨫⇇↔$3885$⇍⊗$1966$)","expression":"(∜⨇(⋰*⋻4870⨒⋰*⋻838⊍⩺⋍(⇤←⋰*⋻1150)))∇⊂⋱((⋰*⋻4012∑⇟⊟⋰*⋻1297)⨽∌(⋰*⋻A28⪨⊡⋰*⋻5725)⇄⋰*⋻2512⨼⩣⋰*⋻1054⨫⇇↔⋰*⋻2A12⇍⊗⋰*⋻1528)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":843,"operation_count":12,"complexity_ratio":70.25,"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":6369,"base":11},"right_expr":{"type":"numeric_atoms","value":1009,"base":11}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1507,"base":11}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5337,"base":11},"right_expr":{"type":"numeric_atoms","value":1679,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1240,"base":11},"right_expr":{"type":"numeric_atoms","value":7529,"base":11}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3280,"base":11},"right_expr":{"type":"numeric_atoms","value":1390,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3885,"base":11},"right_expr":{"type":"numeric_atoms","value":1966,"base":11}}}}},"used_operators":["nhYeJWJD5X","uFPyJr306J","OXDGMFPWZM","y75s1iXyHd","jfAgQ2OQeM","3EYGwJThht","9samAPKr6k","U7g4x0WXJJ","kuIXHzHcAH","LXhwmt4mBO","JxwMv5le6e","5uvYHDjeKN"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6369","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=6369, right_input=1009, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-37842","layer":3},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-6169","layer":3},{"info":"compute binary expreesion, left_input=-37842, right_input=-6169, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"number node, value=5337","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=5337, right_input=1679, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=7529","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=7529, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"number node, value=3280","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=1390, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3885","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=3885, right_input=1966, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∜⨇(⋰*⋻4870⨒⋰*⋻838⊍⩺⋍(⇤←⋰*⋻1150)))∇⊂⋱((⋰*⋻4012∑⇟⊟⋰*⋻1297)⨽∌(⋰*⋻A28⪨⊡⋰*⋻5725)⇄⋰*⋻2512⨼⩣⋰*⋻1054⨫⇇↔⋰*⋻2A12⇍⊗⋰*⋻1528)=NaN","reverse_text":"NaN=(∜⨇(⋰*⋻4870⨒⋰*⋻838⊍⩺⋍(⇤←⋰*⋻1150)))∇⊂⋱((⋰*⋻4012∑⇟⊟⋰*⋻1297)⨽∌(⋰*⋻A28⪨⊡⋰*⋻5725)⇄⋰*⋻2512⨼⩣⋰*⋻1054⨫⇇↔⋰*⋻2A12⇍⊗⋰*⋻1528)","cot":[{"info":"⋰*⋻4870⨒⋰*⋻838=⋰*⋻-26482","layer":3},{"info":"⇤←⋰*⋻1150=⋰*⋻-46A9","layer":3},{"info":"⋰*⋻-26482⊍⩺⋍⋰*⋻-46A9=NaN","layer":2},{"info":"∜⨇NaN=NaN","layer":1},{"info":"⋰*⋻4012∑⇟⊟⋰*⋻1297=NaN","layer":3},{"info":"⋰*⋻A28⪨⊡⋰*⋻5725=⋰*⋻0","layer":3},{"info":"NaN⨽∌⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻2512⨼⩣⋰*⋻1054=NaN","layer":3},{"info":"⋰*⋻2A12⇍⊗⋰*⋻1528=⋰*⋻-202","layer":3},{"info":"NaN⨫⇇↔⋰*⋻-202=⋰*⋻-43A","layer":2},{"info":"NaN⇄⋰*⋻-43A=NaN","layer":1},{"info":"NaN∇⊂⋱NaN=NaN","layer":0}]}
{"id":446,"expression_no_base_symbol":"⨑⩽⪐(∜⨇($3332$⪃⊛⇣$5284$⊋($2068$-$4506$)))","expression":"⨑⩽⪐(∜⨇(⋰*⋻255A⪃⊛⇣⋰*⋻3A74⊋(⋰*⋻1610-⋰*⋻3427)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":710,"operation_count":5,"complexity_ratio":142.0,"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":3332,"base":11},"right_expr":{"type":"numeric_atoms","value":5284,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2068,"base":11},"right_expr":{"type":"numeric_atoms","value":4506,"base":11}}}}},"used_operators":["AF7qkfDlqP","uFPyJr306J","W4tP9CfskL","rrgAzCduG9","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3332","layer":4},{"info":"number node, value=5284","layer":4},{"info":"compute binary expreesion, left_input=3332, right_input=5284, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2068","layer":4},{"info":"number node, value=4506","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=4506, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2438","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-2438, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-54214","layer":2},{"info":"compute unary expreesion, input=-54214, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"⨑⩽⪐(∜⨇(⋰*⋻255A⪃⊛⇣⋰*⋻3A74⊋(⋰*⋻1610-⋰*⋻3427)))=NaN","reverse_text":"NaN=⨑⩽⪐(∜⨇(⋰*⋻255A⪃⊛⇣⋰*⋻3A74⊋(⋰*⋻1610-⋰*⋻3427)))","cot":[{"info":"⋰*⋻255A⪃⊛⇣⋰*⋻3A74=⋰*⋻A22","layer":3},{"info":"⋰*⋻1610-⋰*⋻3427=⋰*⋻-1917","layer":3},{"info":"⋰*⋻A22⊋⋰*⋻-1917=⋰*⋻-37806","layer":2},{"info":"∜⨇⋰*⋻-37806=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":447,"expression_no_base_symbol":"⨩∲⋌(($2082$↡⊰⫅$8544$)⪟⇏(≤/$5563$)↺(⋗⩬⋾$2980$∼$1742$))","expression":"⨩∲⋌((⋰*⋻1623↡⊰⫅⋰*⋻6468)⪟⇏(≤/⋰*⋻41A8)↺(⋗⩬⋾⋰*⋻226A∼⋰*⋻1344))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":119727,"operation_count":7,"complexity_ratio":17103.85714285714,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2082,"base":11},"right_expr":{"type":"numeric_atoms","value":8544,"base":11}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5563,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2980,"base":11},"right_expr":{"type":"numeric_atoms","value":1742,"base":11}}}}},"used_operators":["aSik1wnThz","7j4O788W3g","GODebY97qR","VCtxkLNOzz","eLAdDNolq6","DpFCA1CohY","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2082","layer":4},{"info":"number node, value=8544","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=8544, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=17088","layer":3},{"info":"number node, value=5563","layer":4},{"info":"compute unary expreesion, input=5563, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5079","layer":3},{"info":"compute binary expreesion, left_input=17088, right_input=-5079, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"number node, value=2980","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=1742, 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 = 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=-1, 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 = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨩∲⋌((⋰*⋻1623↡⊰⫅⋰*⋻6468)⪟⇏(≤/⋰*⋻41A8)↺(⋗⩬⋾⋰*⋻226A∼⋰*⋻1344))=NaN","reverse_text":"NaN=⨩∲⋌((⋰*⋻1623↡⊰⫅⋰*⋻6468)⪟⇏(≤/⋰*⋻41A8)↺(⋗⩬⋾⋰*⋻226A∼⋰*⋻1344))","cot":[{"info":"⋰*⋻1623↡⊰⫅⋰*⋻6468=⋰*⋻11925","layer":3},{"info":"≤/⋰*⋻41A8=⋰*⋻-38A8","layer":3},{"info":"⋰*⋻11925⪟⇏⋰*⋻-38A8=⋰*⋻-1","layer":2},{"info":"⋰*⋻226A∼⋰*⋻1344=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⋰*⋻-1↺NaN=NaN","layer":1},{"info":"⨩∲⋌NaN=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"(⨆≐≲(($4197$∠↢$1758$)⊔($6896$⪷)))↞⋁(($2173$→⨶⪴$1048$≬⋮$2541$∀⇚≩$6525$)⊹∫⫚((⪲⇎$2600$)⊍⩺⋍(⇜⊴$5660$)))","expression":"(⨆≐≲((⋰*⋻3176∠↢⋰*⋻1359)⊔(⋰*⋻51AA⪷)))↞⋁((⋰*⋻16A6→⨶⪴⋰*⋻873≬⋮⋰*⋻1A00∀⇚≩⋰*⋻49A2)⊹∫⫚((⪲⇎⋰*⋻1A54)⊍⩺⋍(⇜⊴⋰*⋻4286)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":25256,"operation_count":12,"complexity_ratio":2104.6666666666665,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4197,"base":11},"right_expr":{"type":"numeric_atoms","value":1758,"base":11}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":6896,"base":11}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2173,"base":11},"right_expr":{"type":"numeric_atoms","value":1048,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2541,"base":11},"right_expr":{"type":"numeric_atoms","value":6525,"base":11}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2600,"base":11}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":5660,"base":11}}}}},"used_operators":["RqrPlJkxDo","Bi9z9uYZqW","E4l6HwMY31","KbjG8mgYpV","Qctrpi3WzA","uWAJUKEvyW","kbkesczE7y","bF6eod5Gvf","LRNGc0VcxI","OXDGMFPWZM","XPYlsWDdGa","XwDhCwWbUn"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Nsiff2A1zJ","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw","X99M06cbEe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4197","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=4197, right_input=1758, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-40318","layer":3},{"info":"number node, value=6896","layer":4},{"info":"compute unary expreesion, input=6896, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-40318, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"number node, value=2173","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=1048, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3144","layer":3},{"info":"number node, value=2541","layer":4},{"info":"number node, value=6525","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=6525, 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=-3144, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"number node, value=2600","layer":4},{"info":"compute unary expreesion, input=2600, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5200","layer":3},{"info":"number node, value=5660","layer":4},{"info":"compute unary expreesion, input=5660, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1322046","layer":3},{"info":"compute binary expreesion, left_input=5200, right_input=-1322046, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨆≐≲((⋰*⋻3176∠↢⋰*⋻1359)⊔(⋰*⋻51AA⪷)))↞⋁((⋰*⋻16A6→⨶⪴⋰*⋻873≬⋮⋰*⋻1A00∀⇚≩⋰*⋻49A2)⊹∫⫚((⪲⇎⋰*⋻1A54)⊍⩺⋍(⇜⊴⋰*⋻4286)))=NaN","reverse_text":"NaN=(⨆≐≲((⋰*⋻3176∠↢⋰*⋻1359)⊔(⋰*⋻51AA⪷)))↞⋁((⋰*⋻16A6→⨶⪴⋰*⋻873≬⋮⋰*⋻1A00∀⇚≩⋰*⋻49A2)⊹∫⫚((⪲⇎⋰*⋻1A54)⊍⩺⋍(⇜⊴⋰*⋻4286)))","cot":[{"info":"⋰*⋻3176∠↢⋰*⋻1359=⋰*⋻-28323","layer":3},{"info":"⋰*⋻51AA⪷=NaN","layer":3},{"info":"⋰*⋻-28323⊔NaN=NaN","layer":2},{"info":"⨆≐≲NaN=⋰*⋻-1056A6","layer":1},{"info":"⋰*⋻16A6→⨶⪴⋰*⋻873=⋰*⋻-23A9","layer":3},{"info":"⋰*⋻1A00∀⇚≩⋰*⋻49A2=NaN","layer":3},{"info":"⋰*⋻-23A9≬⋮NaN=NaN","layer":2},{"info":"⪲⇎⋰*⋻1A54=⋰*⋻39A8","layer":3},{"info":"⇜⊴⋰*⋻4286=⋰*⋻-823300","layer":3},{"info":"⋰*⋻39A8⊍⩺⋍⋰*⋻-823300=NaN","layer":2},{"info":"NaN⊹∫⫚NaN=NaN","layer":1},{"info":"⋰*⋻-1056A6↞⋁NaN=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"((⇘$4380$)⩁⩘(∤↝$2603$)∪⫐((⫖→$1713$)⫌⩹⨱))⪟⇏((+⊝⨔(⨵≀≌$1223$))/(($2609$⩢≌)⊀⩕))","expression":"((⇘⋰*⋻3322)⩁⩘(∤↝⋰*⋻1A57)∪⫐((⫖→⋰*⋻1318)⫌⩹⨱))⪟⇏((+⊝⨔(⨵≀≌⋰*⋻A12))/((⋰*⋻1A62⩢≌)⊀⩕))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11895,"operation_count":12,"complexity_ratio":991.25,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":4380,"base":11}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2603,"base":11}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1713,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1223,"base":11}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2609,"base":11}}}}},"used_operators":["GODebY97qR","7YooWSwCyH","gub5Cegaqo","MGuIdZPyUC","3UMq87Qwqg","EBcxylXtPf","U4ylXWHChL","XhwjNDsVaA","DhbWaqg5eL","srAu1WTS94","r0FS3hW4cC","D617RFjZIq"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","IWmyXbctLI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","nhYeJWJD5X","hTbEZDJLEm","o20kRiQErp"],"result":"⋰*⋻-1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4380","layer":4},{"info":"compute unary expreesion, input=4380, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=257182","layer":3},{"info":"number node, value=2603","layer":4},{"info":"compute unary expreesion, input=2603, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=2603","layer":3},{"info":"compute binary expreesion, left_input=257182, right_input=2603, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11360","layer":2},{"info":"number node, value=1713","layer":4},{"info":"compute unary expreesion, input=1713, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1755","layer":2},{"info":"compute binary expreesion, left_input=11360, right_input=1755, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=11360","layer":1},{"info":"number node, value=1223","layer":4},{"info":"compute unary expreesion, input=1223, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3669","layer":3},{"info":"compute unary expreesion, input=-3669, 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=2609","layer":4},{"info":"compute unary expreesion, input=2609, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=11360, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":11,"result_base":11,"text":"((⇘⋰*⋻3322)⩁⩘(∤↝⋰*⋻1A57)∪⫐((⫖→⋰*⋻1318)⫌⩹⨱))⪟⇏((+⊝⨔(⨵≀≌⋰*⋻A12))/((⋰*⋻1A62⩢≌)⊀⩕))=⋰*⋻-1","reverse_text":"⋰*⋻-1=((⇘⋰*⋻3322)⩁⩘(∤↝⋰*⋻1A57)∪⫐((⫖→⋰*⋻1318)⫌⩹⨱))⪟⇏((+⊝⨔(⨵≀≌⋰*⋻A12))/((⋰*⋻1A62⩢≌)⊀⩕))","cot":[{"info":"⇘⋰*⋻3322=⋰*⋻166252","layer":3},{"info":"∤↝⋰*⋻1A57=⋰*⋻1A57","layer":3},{"info":"⋰*⋻166252⩁⩘⋰*⋻1A57=⋰*⋻8598","layer":2},{"info":"⫖→⋰*⋻1318=⋰*⋻151","layer":3},{"info":"⋰*⋻151⫌⩹⨱=⋰*⋻1356","layer":2},{"info":"⋰*⋻8598∪⫐⋰*⋻1356=⋰*⋻8598","layer":1},{"info":"⨵≀≌⋰*⋻A12=⋰*⋻-2836","layer":3},{"info":"+⊝⨔⋰*⋻-2836=⋰*⋻1164","layer":2},{"info":"⋰*⋻1A62⩢≌=⋰*⋻A3","layer":3},{"info":"⋰*⋻A3⊀⩕=⋰*⋻0","layer":2},{"info":"⋰*⋻1164/⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻8598⪟⇏NaN=⋰*⋻-1","layer":0}]}
{"id":450,"expression_no_base_symbol":"⫖→(∑⇻≧($6286$⊴$1424$)⨚$3164$⊉↱≁$1199$)","expression":"⫖→(∑⇻≧(⋰*⋻47A5⊴⋰*⋻1085)⨚⋰*⋻2417⊉↱≁⋰*⋻9A0)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3438,"operation_count":5,"complexity_ratio":687.6,"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":6286,"base":11},"right_expr":{"type":"numeric_atoms","value":1424,"base":11}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3164,"base":11},"right_expr":{"type":"numeric_atoms","value":1199,"base":11}}}}},"used_operators":["U4ylXWHChL","l1M9WJ3V7u","nREPSIbpBE","Nsiff2A1zJ","w2P8NbNXyL"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","BjRHVeLaeN","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⋰*⋻151","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6286","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=6286, right_input=1424, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3164","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=3164, right_input=1199, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=24394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=24394, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute unary expreesion, input=-852, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":11,"result_base":11,"text":"⫖→(∑⇻≧(⋰*⋻47A5⊴⋰*⋻1085)⨚⋰*⋻2417⊉↱≁⋰*⋻9A0)=⋰*⋻151","reverse_text":"⋰*⋻151=⫖→(∑⇻≧(⋰*⋻47A5⊴⋰*⋻1085)⨚⋰*⋻2417⊉↱≁⋰*⋻9A0)","cot":[{"info":"⋰*⋻47A5⊴⋰*⋻1085=NaN","layer":3},{"info":"⋰*⋻2417⊉↱≁⋰*⋻9A0=⋰*⋻17367","layer":3},{"info":"NaN⨚⋰*⋻17367=NaN","layer":2},{"info":"∑⇻≧NaN=⋰*⋻-705","layer":1},{"info":"⫖→⋰*⋻-705=⋰*⋻151","layer":0}]}
{"id":451,"expression_no_base_symbol":"($3808$≌$1626$⫦⪉$2890$⪝$1226$)⪃⊛⇣(($3197$≀⩗∶$5420$)⇣⩺⋵(≯$5644$))⪒⊣⊆(⊀(⨭⩧⫛($3280$%$2144$)))","expression":"(⋰*⋻2952≌⋰*⋻1249⫦⪉⋰*⋻2198⪝⋰*⋻A15)⪃⊛⇣((⋰*⋻2447≀⩗∶⋰*⋻4088)⇣⩺⋵(≯⋰*⋻4271))⪒⊣⊆(⊀(⨭⩧⫛(⋰*⋻2512%⋰*⋻167A)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3083,"operation_count":11,"complexity_ratio":280.27272727272725,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3808,"base":11},"right_expr":{"type":"numeric_atoms","value":1626,"base":11}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2890,"base":11},"right_expr":{"type":"numeric_atoms","value":1226,"base":11}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3197,"base":11},"right_expr":{"type":"numeric_atoms","value":5420,"base":11}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":5644,"base":11}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3280,"base":11},"right_expr":{"type":"numeric_atoms","value":2144,"base":11}}}}},"used_operators":["eRqsBgTDFp","rrgAzCduG9","wscyQdcy20","lyWz822IDG","wicAB68Tmb","F4yD0voBRQ","8INZBEW696","keWfFq85dY","oPMjh9089D","g21JL6JxX7","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","g55IO6H4Gj","JLbD19bQDL","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z"],"result":"⋰*⋻1944","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3808","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=3808, right_input=1626, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2890","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=1226, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7055","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7055, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":2},{"info":"number node, value=3197","layer":4},{"info":"number node, value=5420","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=5420, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"number node, value=5644","layer":4},{"info":"compute unary expreesion, input=5644, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=3280","layer":4},{"info":"number node, value=2144","layer":4},{"info":"compute binary expreesion, left_input=3280, right_input=2144, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1136","layer":3},{"info":"compute unary expreesion, input=1136, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2468","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2952≌⋰*⋻1249⫦⪉⋰*⋻2198⪝⋰*⋻A15)⪃⊛⇣((⋰*⋻2447≀⩗∶⋰*⋻4088)⇣⩺⋵(≯⋰*⋻4271))⪒⊣⊆(⊀(⨭⩧⫛(⋰*⋻2512%⋰*⋻167A)))=⋰*⋻1944","reverse_text":"⋰*⋻1944=(⋰*⋻2952≌⋰*⋻1249⫦⪉⋰*⋻2198⪝⋰*⋻A15)⪃⊛⇣((⋰*⋻2447≀⩗∶⋰*⋻4088)⇣⩺⋵(≯⋰*⋻4271))⪒⊣⊆(⊀(⨭⩧⫛(⋰*⋻2512%⋰*⋻167A)))","cot":[{"info":"⋰*⋻2952≌⋰*⋻1249=NaN","layer":3},{"info":"⋰*⋻2198⪝⋰*⋻A15=⋰*⋻-5334","layer":3},{"info":"NaN⫦⪉⋰*⋻-5334=NaN","layer":2},{"info":"⋰*⋻2447≀⩗∶⋰*⋻4088=⋰*⋻-3","layer":3},{"info":"≯⋰*⋻4271=⋰*⋻0","layer":3},{"info":"⋰*⋻-3⇣⩺⋵⋰*⋻0=⋰*⋻-217","layer":2},{"info":"NaN⪃⊛⇣⋰*⋻-217=⋰*⋻A22","layer":1},{"info":"⋰*⋻2512%⋰*⋻167A=⋰*⋻943","layer":3},{"info":"⨭⩧⫛⋰*⋻943=NaN","layer":2},{"info":"⊀NaN=NaN","layer":1},{"info":"⋰*⋻A22⪒⊣⊆NaN=⋰*⋻1944","layer":0}]}
{"id":452,"expression_no_base_symbol":"(≋(($7181$⪒$1938$)⨕⋳))↺(($1540$∕⩚$7910$)⪡$4868$⋥⋵⩄$1024$∲⫓(↘$6575$⫉⨲⊜$3082$))","expression":"(≋((⋰*⋻5439⪒⋰*⋻1502)⨕⋳))↺((⋰*⋻1180∕⩚⋰*⋻5A41)⪡⋰*⋻3726⋥⋵⩄⋰*⋻851∲⫓(↘⋰*⋻4A38⫉⨲⊜⋰*⋻2352))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1724,"operation_count":10,"complexity_ratio":172.4,"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":7181,"base":11},"right_expr":{"type":"numeric_atoms","value":1938,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1540,"base":11},"right_expr":{"type":"numeric_atoms","value":7910,"base":11}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4868,"base":11},"right_expr":{"type":"numeric_atoms","value":1024,"base":11}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":6575,"base":11},"right_expr":{"type":"numeric_atoms","value":3082,"base":11}}}}},"used_operators":["7j4O788W3g","61wBmkZwlr","4X4GscPmMf","f6k1SAg4EE","i8ToyICDmI","oraRL2iQuh","z9ffQ9n5Zr","7t3wd0Fuz7","LdNpr8hQHL","WhqkvtTD3t"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","uFcxV4UQCh","eewbuw0ToL","zVYPLywUTj"],"result":"⋰*⋻3056","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7181","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=7181, right_input=1938, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9119","layer":3},{"info":"compute unary expreesion, input=-9119, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-1047454","layer":2},{"info":"compute unary expreesion, input=-1047454, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-1047454","layer":1},{"info":"number node, value=1540","layer":4},{"info":"number node, value=7910","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=7910, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1543","layer":3},{"info":"number node, value=4868","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=4868, right_input=1024, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-1543, right_input=113, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=4054","layer":2},{"info":"number node, value=6575","layer":4},{"info":"number node, value=3082","layer":4},{"info":"compute binary expreesion, left_input=6575, right_input=3082, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4054, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4054","layer":1},{"info":"compute binary expreesion, left_input=-1047454, right_input=4054, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4054","layer":0}],"base":11,"result_base":11,"text":"(≋((⋰*⋻5439⪒⋰*⋻1502)⨕⋳))↺((⋰*⋻1180∕⩚⋰*⋻5A41)⪡⋰*⋻3726⋥⋵⩄⋰*⋻851∲⫓(↘⋰*⋻4A38⫉⨲⊜⋰*⋻2352))=⋰*⋻3056","reverse_text":"⋰*⋻3056=(≋((⋰*⋻5439⪒⋰*⋻1502)⨕⋳))↺((⋰*⋻1180∕⩚⋰*⋻5A41)⪡⋰*⋻3726⋥⋵⩄⋰*⋻851∲⫓(↘⋰*⋻4A38⫉⨲⊜⋰*⋻2352))","cot":[{"info":"⋰*⋻5439⪒⋰*⋻1502=⋰*⋻-6940","layer":3},{"info":"⋰*⋻-6940⨕⋳=⋰*⋻-655A71","layer":2},{"info":"≋⋰*⋻-655A71=⋰*⋻-655A71","layer":1},{"info":"⋰*⋻1180∕⩚⋰*⋻5A41=⋰*⋻-1183","layer":3},{"info":"⋰*⋻3726⋥⋵⩄⋰*⋻851=⋰*⋻A3","layer":3},{"info":"⋰*⋻-1183⪡⋰*⋻A3=⋰*⋻3056","layer":2},{"info":"⋰*⋻4A38⫉⨲⊜⋰*⋻2352=⋰*⋻0","layer":3},{"info":"↘⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻3056∲⫓⋰*⋻0=⋰*⋻3056","layer":1},{"info":"⋰*⋻-655A71↺⋰*⋻3056=⋰*⋻3056","layer":0}]}
{"id":453,"expression_no_base_symbol":"⪁⇼(($1000$⪪$1597$⪎⩰)⪭(⨂⪏⇭($1671$⊾⪯⋞$1445$)))","expression":"⪁⇼((⋰*⋻82A⪪⋰*⋻1222⪎⩰)⪭(⨂⪏⇭(⋰*⋻128A⊾⪯⋞⋰*⋻10A4)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3242,"operation_count":6,"complexity_ratio":540.3333333333334,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":1597,"base":11}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1671,"base":11},"right_expr":{"type":"numeric_atoms","value":1445,"base":11}}}}},"used_operators":["ZNVVrZ94lY","j9kHMeSvPp","2ufhKmSs5H","xD69zh8xqp","AYdpE9sXAk","HK0tfVPux8"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","COABgblf1C","xUOZtlo3hN","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⋰*⋻354","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1597, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-147089","layer":3},{"info":"compute unary expreesion, input=-147089, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-2954261","layer":2},{"info":"number node, value=1671","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=1445, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2464","layer":3},{"info":"compute unary expreesion, input=2464, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=6413","layer":2},{"info":"compute binary expreesion, left_input=-2954261, right_input=6413, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=2954087","layer":1},{"info":"compute unary expreesion, input=2954087, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":11,"result_base":11,"text":"⪁⇼((⋰*⋻82A⪪⋰*⋻1222⪎⩰)⪭(⨂⪏⇭(⋰*⋻128A⊾⪯⋞⋰*⋻10A4)))=⋰*⋻354","reverse_text":"⋰*⋻354=⪁⇼((⋰*⋻82A⪪⋰*⋻1222⪎⩰)⪭(⨂⪏⇭(⋰*⋻128A⊾⪯⋞⋰*⋻10A4)))","cot":[{"info":"⋰*⋻82A⪪⋰*⋻1222=⋰*⋻-A0568","layer":3},{"info":"⋰*⋻-A0568⪎⩰=⋰*⋻-1738642","layer":2},{"info":"⋰*⋻128A⊾⪯⋞⋰*⋻10A4=⋰*⋻1940","layer":3},{"info":"⨂⪏⇭⋰*⋻1940=⋰*⋻4900","layer":2},{"info":"⋰*⋻-1738642⪭⋰*⋻4900=⋰*⋻17384A4","layer":1},{"info":"⪁⇼⋰*⋻17384A4=⋰*⋻354","layer":0}]}
{"id":454,"expression_no_base_symbol":"($2291$⊢$2982$⪭$2114$∋$1246$)↢(⊖∈$1083$)⪬($1554$⩁⩘$5857$)⋓($1308$⪎↠$1192$⊲⩕⊾($1085$⪛⫼$8916$)⩒⫫(≇⪴(≛$1929$)))","expression":"(⋰*⋻17A3⊢⋰*⋻2271⪭⋰*⋻1652∋⋰*⋻A33)↢(⊖∈⋰*⋻8A5)⪬(⋰*⋻1193⩁⩘⋰*⋻4445)⋓(⋰*⋻A8A⪎↠⋰*⋻994⊲⩕⊾(⋰*⋻8A7⪛⫼⋰*⋻6776)⩒⫫(≇⪴(≛⋰*⋻14A4)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1006,"operation_count":14,"complexity_ratio":71.85714285714286,"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":2291,"base":11},"right_expr":{"type":"numeric_atoms","value":2982,"base":11}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2114,"base":11},"right_expr":{"type":"numeric_atoms","value":1246,"base":11}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1083,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1554,"base":11},"right_expr":{"type":"numeric_atoms","value":5857,"base":11}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1308,"base":11},"right_expr":{"type":"numeric_atoms","value":1192,"base":11}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1085,"base":11},"right_expr":{"type":"numeric_atoms","value":8916,"base":11}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1929,"base":11}}}}},"used_operators":["T2fj7uvVaJ","WR6HLWljOP","j9kHMeSvPp","5twsqlHp2o","ukq6epAj5P","Ez1Nq5fNfI","YFxL8Sc2Zy","gub5Cegaqo","KFSx94NKJn","DmTXOeWf9t","3tVxb0NHM4","hyuBjUqXlG","zoVPnxeHJ3","W7eaUhjymW"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DpFCA1CohY","IWmyXbctLI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2291","layer":4},{"info":"number node, value=2982","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=2982, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4826","layer":3},{"info":"number node, value=2114","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=1246, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2637968","layer":3},{"info":"compute binary expreesion, left_input=-4826, right_input=2637968, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=4652","layer":2},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=16066","layer":3},{"info":"number node, value=1554","layer":4},{"info":"number node, value=5857","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=5857, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=24376","layer":3},{"info":"compute binary expreesion, left_input=16066, right_input=24376, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=4652, right_input=1234, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4168","layer":1},{"info":"number node, value=1308","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=1192, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=8916","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=8916, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=968, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-8870","layer":2},{"info":"number node, value=1929","layer":4},{"info":"compute unary expreesion, input=1929, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute unary expreesion, input=-10, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-40","layer":2},{"info":"compute binary expreesion, left_input=-8870, right_input=-40, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=4168, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻17A3⊢⋰*⋻2271⪭⋰*⋻1652∋⋰*⋻A33)↢(⊖∈⋰*⋻8A5)⪬(⋰*⋻1193⩁⩘⋰*⋻4445)⋓(⋰*⋻A8A⪎↠⋰*⋻994⊲⩕⊾(⋰*⋻8A7⪛⫼⋰*⋻6776)⩒⫫(≇⪴(≛⋰*⋻14A4)))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻17A3⊢⋰*⋻2271⪭⋰*⋻1652∋⋰*⋻A33)↢(⊖∈⋰*⋻8A5)⪬(⋰*⋻1193⩁⩘⋰*⋻4445)⋓(⋰*⋻A8A⪎↠⋰*⋻994⊲⩕⊾(⋰*⋻8A7⪛⫼⋰*⋻6776)⩒⫫(≇⪴(≛⋰*⋻14A4)))","cot":[{"info":"⋰*⋻17A3⊢⋰*⋻2271=⋰*⋻-3698","layer":3},{"info":"⋰*⋻1652∋⋰*⋻A33=⋰*⋻1541A43","layer":3},{"info":"⋰*⋻-3698⪭⋰*⋻1541A43=⋰*⋻354A","layer":2},{"info":"⊖∈⋰*⋻8A5=⋰*⋻11086","layer":3},{"info":"⋰*⋻1193⩁⩘⋰*⋻4445=⋰*⋻17350","layer":3},{"info":"⋰*⋻11086⪬⋰*⋻17350=⋰*⋻A22","layer":2},{"info":"⋰*⋻354A↢⋰*⋻A22=⋰*⋻314A","layer":1},{"info":"⋰*⋻A8A⪎↠⋰*⋻994=⋰*⋻136","layer":3},{"info":"⋰*⋻8A7⪛⫼⋰*⋻6776=⋰*⋻800","layer":3},{"info":"⋰*⋻136⊲⩕⊾⋰*⋻800=⋰*⋻-6734","layer":2},{"info":"≛⋰*⋻14A4=⋰*⋻-A","layer":3},{"info":"≇⪴⋰*⋻-A=⋰*⋻-37","layer":2},{"info":"⋰*⋻-6734⩒⫫⋰*⋻-37=⋰*⋻136","layer":1},{"info":"⋰*⋻314A⋓⋰*⋻136=⋰*⋻0","layer":0}]}
{"id":455,"expression_no_base_symbol":"((($5565$∝$1458$)⇄$2316$⇴$5506$)≨($1105$∴$2533$)⩦($2479$⋥⋵⩄$5087$))⨔⇊($5361$↞⋁$2975$⨎$6012$∘$5050$↺($5833$≃$3595$)⪶≀⋏(↸⊣$2362$))","expression":"(((⋰*⋻41AA∝⋰*⋻1106)⇄⋰*⋻1816⇴⋰*⋻4156)≨(⋰*⋻915∴⋰*⋻19A3)⩦(⋰*⋻1954⋥⋵⩄⋰*⋻3905))⨔⇊(⋰*⋻4034↞⋁⋰*⋻2265⨎⋰*⋻4576∘⋰*⋻3881↺(⋰*⋻4423≃⋰*⋻2779)⪶≀⋏(↸⊣⋰*⋻1858))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":399,"operation_count":15,"complexity_ratio":26.6,"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":5565,"base":11},"right_expr":{"type":"numeric_atoms","value":1458,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2316,"base":11},"right_expr":{"type":"numeric_atoms","value":5506,"base":11}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1105,"base":11},"right_expr":{"type":"numeric_atoms","value":2533,"base":11}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2479,"base":11},"right_expr":{"type":"numeric_atoms","value":5087,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5361,"base":11},"right_expr":{"type":"numeric_atoms","value":2975,"base":11}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6012,"base":11},"right_expr":{"type":"numeric_atoms","value":5050,"base":11}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5833,"base":11},"right_expr":{"type":"numeric_atoms","value":3595,"base":11}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2362,"base":11}}}}},"used_operators":["JclMnS0uGI","0KMCeP1Jsh","3EYGwJThht","cTDWOvIxvz","4JB6nKBMSY","0kmYd0q39Y","hrf7POJlIJ","7t3wd0Fuz7","7j4O788W3g","rJVOvQCfKK","RqrPlJkxDo","Z5m6OM72h2","zR4jO40bMj","YbVcJGFEVW","wztAlM01eG"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","sdazOOVcIp","NTOWxs364D","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5565","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=5565, right_input=1458, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5570","layer":3},{"info":"number node, value=2316","layer":4},{"info":"number node, value=5506","layer":4},{"info":"compute binary expreesion, left_input=2316, right_input=5506, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=24522","layer":3},{"info":"compute binary expreesion, left_input=5570, right_input=24522, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1105","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=2533, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3858","layer":3},{"info":"number node, value=2479","layer":4},{"info":"number node, value=5087","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=5087, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=3858, right_input=113, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7716","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7716, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":1},{"info":"number node, value=5361","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=5361, right_input=2975, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=6012","layer":4},{"info":"number node, value=5050","layer":4},{"info":"compute binary expreesion, left_input=6012, right_input=5050, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=12024","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12024, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=12024","layer":2},{"info":"number node, value=5833","layer":4},{"info":"number node, value=3595","layer":4},{"info":"compute binary expreesion, left_input=5833, right_input=3595, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-23372","layer":3},{"info":"number node, value=2362","layer":4},{"info":"compute unary expreesion, input=2362, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2075","layer":3},{"info":"compute binary expreesion, left_input=-23372, right_input=-2075, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-16600","layer":2},{"info":"compute binary expreesion, left_input=12024, right_input=-16600, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-16600","layer":1},{"info":"compute binary expreesion, left_input=2476, right_input=-16600, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻41AA∝⋰*⋻1106)⇄⋰*⋻1816⇴⋰*⋻4156)≨(⋰*⋻915∴⋰*⋻19A3)⩦(⋰*⋻1954⋥⋵⩄⋰*⋻3905))⨔⇊(⋰*⋻4034↞⋁⋰*⋻2265⨎⋰*⋻4576∘⋰*⋻3881↺(⋰*⋻4423≃⋰*⋻2779)⪶≀⋏(↸⊣⋰*⋻1858))=⋰*⋻61","reverse_text":"⋰*⋻61=(((⋰*⋻41AA∝⋰*⋻1106)⇄⋰*⋻1816⇴⋰*⋻4156)≨(⋰*⋻915∴⋰*⋻19A3)⩦(⋰*⋻1954⋥⋵⩄⋰*⋻3905))⨔⇊(⋰*⋻4034↞⋁⋰*⋻2265⨎⋰*⋻4576∘⋰*⋻3881↺(⋰*⋻4423≃⋰*⋻2779)⪶≀⋏(↸⊣⋰*⋻1858))","cot":[{"info":"⋰*⋻41AA∝⋰*⋻1106=⋰*⋻4204","layer":3},{"info":"⋰*⋻1816⇴⋰*⋻4156=⋰*⋻17473","layer":3},{"info":"⋰*⋻4204⇄⋰*⋻17473=⋰*⋻0","layer":2},{"info":"⋰*⋻915∴⋰*⋻19A3=⋰*⋻2998","layer":3},{"info":"⋰*⋻1954⋥⋵⩄⋰*⋻3905=⋰*⋻A3","layer":3},{"info":"⋰*⋻2998⩦⋰*⋻A3=⋰*⋻5885","layer":2},{"info":"⋰*⋻0≨⋰*⋻5885=⋰*⋻1951","layer":1},{"info":"⋰*⋻4034↞⋁⋰*⋻2265=NaN","layer":3},{"info":"⋰*⋻4576∘⋰*⋻3881=⋰*⋻9041","layer":3},{"info":"NaN⨎⋰*⋻9041=⋰*⋻9041","layer":2},{"info":"⋰*⋻4423≃⋰*⋻2779=⋰*⋻-16618","layer":3},{"info":"↸⊣⋰*⋻1858=⋰*⋻-1617","layer":3},{"info":"⋰*⋻-16618⪶≀⋏⋰*⋻-1617=⋰*⋻-11521","layer":2},{"info":"⋰*⋻9041↺⋰*⋻-11521=⋰*⋻-11521","layer":1},{"info":"⋰*⋻1951⨔⇊⋰*⋻-11521=⋰*⋻61","layer":0}]}
{"id":456,"expression_no_base_symbol":"(⊲⪭($4302$⪝$8930$⇀∌))⋕⪉⪜(⪫⨮⊛(($3035$⪔$1140$)⪍↜⋙$5188$⨂≜$1606$))","expression":"(⊲⪭(⋰*⋻3261⪝⋰*⋻6789⇀∌))⋕⪉⪜(⪫⨮⊛((⋰*⋻230A⪔⋰*⋻947)⪍↜⋙⋰*⋻3997⨂≜⋰*⋻1230))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":79736,"operation_count":8,"complexity_ratio":9967.0,"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":4302,"base":11},"right_expr":{"type":"numeric_atoms","value":8930,"base":11}}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3035,"base":11},"right_expr":{"type":"numeric_atoms","value":1140,"base":11}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5188,"base":11},"right_expr":{"type":"numeric_atoms","value":1606,"base":11}}}}},"used_operators":["z6LnFrNh4i","k7HXdKtiEU","2k53nXOpI5","wicAB68Tmb","w5FWba1tyO","L05ObWFQCd","GjBEYRfMaF","k1SHOSEABc"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","i8ToyICDmI","xUOZtlo3hN","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⋰*⋻176","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4302","layer":4},{"info":"number node, value=8930","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=8930, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-287","layer":1},{"info":"number node, value=3035","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=3035, right_input=1140, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5188","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=5188, right_input=1606, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-287, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":11,"result_base":11,"text":"(⊲⪭(⋰*⋻3261⪝⋰*⋻6789⇀∌))⋕⪉⪜(⪫⨮⊛((⋰*⋻230A⪔⋰*⋻947)⪍↜⋙⋰*⋻3997⨂≜⋰*⋻1230))=⋰*⋻176","reverse_text":"⋰*⋻176=(⊲⪭(⋰*⋻3261⪝⋰*⋻6789⇀∌))⋕⪉⪜(⪫⨮⊛((⋰*⋻230A⪔⋰*⋻947)⪍↜⋙⋰*⋻3997⨂≜⋰*⋻1230))","cot":[{"info":"⋰*⋻3261⪝⋰*⋻6789=⋰*⋻1A6","layer":3},{"info":"⋰*⋻1A6⇀∌=⋰*⋻A3","layer":2},{"info":"⊲⪭⋰*⋻A3=⋰*⋻-241","layer":1},{"info":"⋰*⋻230A⪔⋰*⋻947=⋰*⋻37A","layer":3},{"info":"⋰*⋻3997⨂≜⋰*⋻1230=NaN","layer":3},{"info":"⋰*⋻37A⪍↜⋙NaN=NaN","layer":2},{"info":"⪫⨮⊛NaN=NaN","layer":1},{"info":"⋰*⋻-241⋕⪉⪜NaN=⋰*⋻176","layer":0}]}
{"id":457,"expression_no_base_symbol":"($1411$⪨≂$3466$)∇⊂⋱$1894$⊢$2256$⨐⩸⫘($7060$⨘⋶⪀)⪘⫢($2292$⊭↱$3735$)⋷(⇋⊎⋝$5652$)⊮⊟↴(⫶⊄≣$3044$)⪨⊡(≋($5320$≓∲$2176$))","expression":"(⋰*⋻1073⪨≂⋰*⋻2671)∇⊂⋱⋰*⋻1472⊢⋰*⋻1771⨐⩸⫘(⋰*⋻5339⨘⋶⪀)⪘⫢(⋰*⋻17A4⊭↱⋰*⋻2896)⋷(⇋⊎⋝⋰*⋻4279)⊮⊟↴(⫶⊄≣⋰*⋻2318)⪨⊡(≋(⋰*⋻3AA7≓∲⋰*⋻16A9))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8961,"operation_count":14,"complexity_ratio":640.0714285714286,"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":1411,"base":11},"right_expr":{"type":"numeric_atoms","value":3466,"base":11}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1894,"base":11},"right_expr":{"type":"numeric_atoms","value":2256,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":7060,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2292,"base":11},"right_expr":{"type":"numeric_atoms","value":3735,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":5652,"base":11}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":3044,"base":11}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5320,"base":11},"right_expr":{"type":"numeric_atoms","value":2176,"base":11}}}}},"used_operators":["23Mk6UjR3U","fu6greOZ01","nhYeJWJD5X","sdazOOVcIp","5twsqlHp2o","oacrs7FA3X","XVKwrhznBb","COABgblf1C","kuIXHzHcAH","QDVgd2eftb","CzM2PEoXns","wxb3vTeyAj","61wBmkZwlr","s1XTVnmDOJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","dWAJyo7jo9","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","7j4O788W3g","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1411","layer":4},{"info":"number node, value=3466","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=3466, 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=-4008","layer":3},{"info":"number node, value=1894","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=2256, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4032","layer":3},{"info":"compute binary expreesion, left_input=-4008, right_input=-4032, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=8064","layer":2},{"info":"number node, value=7060","layer":4},{"info":"compute unary expreesion, input=7060, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=3735","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=3735, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2891","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2891, 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=8064, 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=5652","layer":4},{"info":"compute unary expreesion, input=5652, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3044","layer":4},{"info":"compute unary expreesion, input=3044, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=166838329","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=166838329, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"number node, value=5320","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=5320, right_input=2176, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=53983","layer":3},{"info":"compute unary expreesion, input=53983, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=53983","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=53983, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":11,"result_base":11,"text":"(⋰*⋻1073⪨≂⋰*⋻2671)∇⊂⋱⋰*⋻1472⊢⋰*⋻1771⨐⩸⫘(⋰*⋻5339⨘⋶⪀)⪘⫢(⋰*⋻17A4⊭↱⋰*⋻2896)⋷(⇋⊎⋝⋰*⋻4279)⊮⊟↴(⫶⊄≣⋰*⋻2318)⪨⊡(≋(⋰*⋻3AA7≓∲⋰*⋻16A9))=NaN","reverse_text":"NaN=(⋰*⋻1073⪨≂⋰*⋻2671)∇⊂⋱⋰*⋻1472⊢⋰*⋻1771⨐⩸⫘(⋰*⋻5339⨘⋶⪀)⪘⫢(⋰*⋻17A4⊭↱⋰*⋻2896)⋷(⇋⊎⋝⋰*⋻4279)⊮⊟↴(⫶⊄≣⋰*⋻2318)⪨⊡(≋(⋰*⋻3AA7≓∲⋰*⋻16A9))","cot":[{"info":"⋰*⋻1073⪨≂⋰*⋻2671=⋰*⋻-3014","layer":3},{"info":"⋰*⋻1472⊢⋰*⋻1771=⋰*⋻-3036","layer":3},{"info":"⋰*⋻-3014∇⊂⋱⋰*⋻-3036=⋰*⋻6071","layer":2},{"info":"⋰*⋻5339⨘⋶⪀=NaN","layer":3},{"info":"⋰*⋻17A4⊭↱⋰*⋻2896=⋰*⋻2199","layer":3},{"info":"NaN⪘⫢⋰*⋻2199=NaN","layer":2},{"info":"⋰*⋻6071⨐⩸⫘NaN=NaN","layer":1},{"info":"⇋⊎⋝⋰*⋻4279=NaN","layer":3},{"info":"⫶⊄≣⋰*⋻2318=⋰*⋻861A3119","layer":3},{"info":"NaN⊮⊟↴⋰*⋻861A3119=NaN","layer":2},{"info":"⋰*⋻3AA7≓∲⋰*⋻16A9=⋰*⋻37616","layer":3},{"info":"≋⋰*⋻37616=⋰*⋻37616","layer":2},{"info":"NaN⪨⊡⋰*⋻37616=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"(((∜⨇$1177$)⩉⊫⨁)⪡(($1018$∋$1029$)↦))⇴(⇈($5013$⊕∕$2064$≀⫉($3204$⨁⊸⫻)))","expression":"(((∜⨇⋰*⋻980)⩉⊫⨁)⪡((⋰*⋻846∋⋰*⋻856)↦))⇴(⇈(⋰*⋻3848⊕∕⋰*⋻1607≀⫉(⋰*⋻2453⨁⊸⫻)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2462106,"operation_count":10,"complexity_ratio":246210.6,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1177,"base":11}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":1029,"base":11}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5013,"base":11},"right_expr":{"type":"numeric_atoms","value":2064,"base":11}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3204,"base":11}}}}},"used_operators":["4JB6nKBMSY","oraRL2iQuh","7qqUquhhSb","uFPyJr306J","fFznvYxMfW","ukq6epAj5P","SLLxy00UIr","oZj3VtZNQx","9cloC0Ngie","glklzrTFfD"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","7j4O788W3g","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":4},{"info":"compute unary expreesion, input=1177, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=nan","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1029, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2131352","layer":3},{"info":"compute unary expreesion, input=2131352, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"number node, value=5013","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=5013, right_input=2064, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5013","layer":3},{"info":"number node, value=3204","layer":4},{"info":"compute unary expreesion, input=3204, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3204","layer":3},{"info":"compute binary expreesion, left_input=5013, right_input=3204, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((∜⨇⋰*⋻980)⩉⊫⨁)⪡((⋰*⋻846∋⋰*⋻856)↦))⇴(⇈(⋰*⋻3848⊕∕⋰*⋻1607≀⫉(⋰*⋻2453⨁⊸⫻)))=NaN","reverse_text":"NaN=(((∜⨇⋰*⋻980)⩉⊫⨁)⪡((⋰*⋻846∋⋰*⋻856)↦))⇴(⇈(⋰*⋻3848⊕∕⋰*⋻1607≀⫉(⋰*⋻2453⨁⊸⫻)))","cot":[{"info":"∜⨇⋰*⋻980=NaN","layer":3},{"info":"NaN⩉⊫⨁=NaN","layer":2},{"info":"⋰*⋻846∋⋰*⋻856=⋰*⋻1226353","layer":3},{"info":"⋰*⋻1226353↦=NaN","layer":2},{"info":"NaN⪡NaN=NaN","layer":1},{"info":"⋰*⋻3848⊕∕⋰*⋻1607=⋰*⋻3848","layer":3},{"info":"⋰*⋻2453⨁⊸⫻=⋰*⋻2453","layer":3},{"info":"⋰*⋻3848≀⫉⋰*⋻2453=⋰*⋻2136","layer":2},{"info":"⇈⋰*⋻2136=⋰*⋻-377","layer":1},{"info":"NaN⇴⋰*⋻-377=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"(⨈⫕$1563$⪥$3116$⇍⊗$8634$≁$1028$)⫘((⨭⩧⫛$1329$)↞⋁($1308$⊉≛↸$2231$)⨽⪊≇)","expression":"(⨈⫕⋰*⋻11A1⪥⋰*⋻2383⇍⊗⋰*⋻653A≁⋰*⋻855)⫘((⨭⩧⫛⋰*⋻AA9)↞⋁(⋰*⋻A8A⊉≛↸⋰*⋻1749)⨽⪊≇)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":856,"operation_count":9,"complexity_ratio":95.11111111111111,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1563,"base":11},"right_expr":{"type":"numeric_atoms","value":3116,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":8634,"base":11},"right_expr":{"type":"numeric_atoms","value":1028,"base":11}}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1329,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1308,"base":11},"right_expr":{"type":"numeric_atoms","value":2231,"base":11}}}}},"used_operators":["48vC8HMD2b","megm06wKyl","5uvYHDjeKN","QbnwKVWMIQ","8N2wDY1A35","nlCqmYiOvY","RqrPlJkxDo","g21JL6JxX7","DZ8iAZOCBD"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻21822","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1563","layer":4},{"info":"number node, value=3116","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=3116, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10904","layer":3},{"info":"number node, value=8634","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=8634, right_input=1028, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=11471","layer":3},{"info":"compute binary expreesion, left_input=10904, right_input=11471, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = 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=1329","layer":4},{"info":"compute unary expreesion, input=1329, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=1308","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=2231, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2616","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2616, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=31605","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕⋰*⋻11A1⪥⋰*⋻2383⇍⊗⋰*⋻653A≁⋰*⋻855)⫘((⨭⩧⫛⋰*⋻AA9)↞⋁(⋰*⋻A8A⊉≛↸⋰*⋻1749)⨽⪊≇)=⋰*⋻21822","reverse_text":"⋰*⋻21822=(⨈⫕⋰*⋻11A1⪥⋰*⋻2383⇍⊗⋰*⋻653A≁⋰*⋻855)⫘((⨭⩧⫛⋰*⋻AA9)↞⋁(⋰*⋻A8A⊉≛↸⋰*⋻1749)⨽⪊≇)","cot":[{"info":"⋰*⋻11A1⪥⋰*⋻2383=⋰*⋻8213","layer":3},{"info":"⋰*⋻653A≁⋰*⋻855=⋰*⋻8689","layer":3},{"info":"⋰*⋻8213⇍⊗⋰*⋻8689=⋰*⋻-202","layer":2},{"info":"⨈⫕⋰*⋻-202=⋰*⋻-1A","layer":1},{"info":"⨭⩧⫛⋰*⋻AA9=NaN","layer":3},{"info":"⋰*⋻A8A⊉≛↸⋰*⋻1749=⋰*⋻1A69","layer":3},{"info":"NaN↞⋁⋰*⋻1A69=NaN","layer":2},{"info":"NaN⨽⪊≇=NaN","layer":1},{"info":"⋰*⋻-1A⫘NaN=⋰*⋻21822","layer":0}]}
{"id":460,"expression_no_base_symbol":"($8518$⨼⩣$4336$⋥≓≎(≋$1121$))≄⊠(∂(∐⩳⋚$4164$))≥⨤⩑($1294$⪹)⩦$1061$⋕⪉⪜$2358$⪭≯(↪⫪⫘(⨴⫝$3799$))","expression":"(⋰*⋻6444⨼⩣⋰*⋻3292⋥≓≎(≋⋰*⋻92A))≄⊠(∂(∐⩳⋚⋰*⋻3146))≥⨤⩑(⋰*⋻A77⪹)⩦⋰*⋻885⋕⪉⪜⋰*⋻1854⪭≯(↪⫪⫘(⨴⫝⋰*⋻2944))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":113657,"operation_count":13,"complexity_ratio":8742.846153846154,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":8518,"base":11},"right_expr":{"type":"numeric_atoms","value":4336,"base":11}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1121,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":4164,"base":11}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1294,"base":11}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1061,"base":11},"right_expr":{"type":"numeric_atoms","value":2358,"base":11}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":3799,"base":11}}}}},"used_operators":["gJLn6v0xnP","vXNesLlMH1","Qy55tPpLXF","JxwMv5le6e","61wBmkZwlr","Uaa54Peajs","SL6IHkK8vl","XAx5wpdLa6","0kmYd0q39Y","B3sABdIn96","z6LnFrNh4i","9dWsAM3GFt","SVb2v531z1"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","7j4O788W3g","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8518","layer":4},{"info":"number node, value=4336","layer":4},{"info":"compute binary expreesion, left_input=8518, right_input=4336, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1121","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1121, 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=4164","layer":4},{"info":"compute unary expreesion, input=4164, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=610381","layer":3},{"info":"compute unary expreesion, input=610381, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=7080","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=2358, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=7080, right_input=204, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=14160","layer":2},{"info":"number node, value=3799","layer":4},{"info":"compute unary expreesion, input=3799, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute unary expreesion, input=2828198, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=14160, right_input=20, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6444⨼⩣⋰*⋻3292⋥≓≎(≋⋰*⋻92A))≄⊠(∂(∐⩳⋚⋰*⋻3146))≥⨤⩑(⋰*⋻A77⪹)⩦⋰*⋻885⋕⪉⪜⋰*⋻1854⪭≯(↪⫪⫘(⨴⫝⋰*⋻2944))=⋰*⋻A22","reverse_text":"⋰*⋻A22=(⋰*⋻6444⨼⩣⋰*⋻3292⋥≓≎(≋⋰*⋻92A))≄⊠(∂(∐⩳⋚⋰*⋻3146))≥⨤⩑(⋰*⋻A77⪹)⩦⋰*⋻885⋕⪉⪜⋰*⋻1854⪭≯(↪⫪⫘(⨴⫝⋰*⋻2944))","cot":[{"info":"⋰*⋻6444⨼⩣⋰*⋻3292=NaN","layer":3},{"info":"≋⋰*⋻92A=⋰*⋻92A","layer":3},{"info":"NaN⋥≓≎⋰*⋻92A=⋰*⋻61","layer":2},{"info":"∐⩳⋚⋰*⋻3146=⋰*⋻387652","layer":3},{"info":"∂⋰*⋻387652=NaN","layer":2},{"info":"⋰*⋻61≄⊠NaN=⋰*⋻1144","layer":1},{"info":"⋰*⋻A77⪹=⋰*⋻5357","layer":3},{"info":"⋰*⋻885⋕⪉⪜⋰*⋻1854=⋰*⋻176","layer":3},{"info":"⋰*⋻5357⩦⋰*⋻176=⋰*⋻A703","layer":2},{"info":"⨴⫝⋰*⋻2944=⋰*⋻166195A","layer":3},{"info":"↪⫪⫘⋰*⋻166195A=⋰*⋻19","layer":2},{"info":"⋰*⋻A703⪭≯⋰*⋻19=NaN","layer":1},{"info":"⋰*⋻1144≥⨤⩑NaN=⋰*⋻A22","layer":0}]}
{"id":461,"expression_no_base_symbol":"$2177$≴⪞⇿$1136$⨥⫆(⨝⨆$2064$)⊨(↘$1540$⪥$1136$)%(($6264$⪄$1382$)⨕⋳)⫳≱↱$3682$⋾⨃∁$3380$⇴(∨∊⋏$1386$)","expression":"⋰*⋻16AA≴⪞⇿⋰*⋻943⨥⫆(⨝⨆⋰*⋻1607)⊨(↘⋰*⋻1180⪥⋰*⋻943)%((⋰*⋻4785⪄⋰*⋻1047)⨕⋳)⫳≱↱⋰*⋻2848⋾⨃∁⋰*⋻25A3⇴(∨∊⋏⋰*⋻1050)","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5755,"operation_count":13,"complexity_ratio":442.6923076923077,"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":2177,"base":11},"right_expr":{"type":"numeric_atoms","value":1136,"base":11}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2064,"base":11}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1540,"base":11},"right_expr":{"type":"numeric_atoms","value":1136,"base":11}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6264,"base":11},"right_expr":{"type":"numeric_atoms","value":1382,"base":11}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3682,"base":11},"right_expr":{"type":"numeric_atoms","value":3380,"base":11}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1386,"base":11}}}}},"used_operators":["k8jYdgA6NY","vg4gO5BX6G","yXekIHxTD4","lvlrscuwVU","bQ67fsrMVf","LdNpr8hQHL","QbnwKVWMIQ","ZvLB05nZmT","4X4GscPmMf","SUmda5xLS4","4JB6nKBMSY","212REbPD9h","R5aXW34M0v"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","tifHPKVTfV","uFcxV4UQCh","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⋰*⋻-1097","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2177","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=1136, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=7250666","layer":3},{"info":"number node, value=2064","layer":4},{"info":"compute unary expreesion, input=2064, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1855","layer":3},{"info":"compute binary expreesion, left_input=7250666, right_input=1855, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3586","layer":2},{"info":"number node, value=1540","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=1136, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10812","layer":3},{"info":"compute unary expreesion, input=10812, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=228","layer":2},{"info":"compute binary expreesion, left_input=3586, right_input=228, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=15375","layer":1},{"info":"number node, value=6264","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=6264, right_input=1382, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-928689","layer":3},{"info":"compute unary expreesion, input=-928689, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-111395854","layer":2},{"info":"number node, value=3682","layer":4},{"info":"number node, value=3380","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=3380, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=114203346","layer":3},{"info":"number node, value=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=20063","layer":3},{"info":"compute binary expreesion, left_input=114203346, right_input=20063, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=685259816","layer":2},{"info":"compute binary expreesion, left_input=-111395854, right_input=685259816, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":1},{"info":"compute binary expreesion, left_input=15375, right_input=-2802, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1437","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻16AA≴⪞⇿⋰*⋻943⨥⫆(⨝⨆⋰*⋻1607)⊨(↘⋰*⋻1180⪥⋰*⋻943)%((⋰*⋻4785⪄⋰*⋻1047)⨕⋳)⫳≱↱⋰*⋻2848⋾⨃∁⋰*⋻25A3⇴(∨∊⋏⋰*⋻1050)=⋰*⋻-1097","reverse_text":"⋰*⋻-1097=⋰*⋻16AA≴⪞⇿⋰*⋻943⨥⫆(⨝⨆⋰*⋻1607)⊨(↘⋰*⋻1180⪥⋰*⋻943)%((⋰*⋻4785⪄⋰*⋻1047)⨕⋳)⫳≱↱⋰*⋻2848⋾⨃∁⋰*⋻25A3⇴(∨∊⋏⋰*⋻1050)","cot":[{"info":"⋰*⋻16AA≴⪞⇿⋰*⋻943=⋰*⋻4102595","layer":3},{"info":"⨝⨆⋰*⋻1607=⋰*⋻1437","layer":3},{"info":"⋰*⋻4102595⨥⫆⋰*⋻1437=⋰*⋻2770","layer":2},{"info":"⋰*⋻1180⪥⋰*⋻943=⋰*⋻813A","layer":3},{"info":"↘⋰*⋻813A=⋰*⋻198","layer":2},{"info":"⋰*⋻2770⊨⋰*⋻198=⋰*⋻10608","layer":1},{"info":"⋰*⋻4785⪄⋰*⋻1047=⋰*⋻-584813","layer":3},{"info":"⋰*⋻-584813⨕⋳=⋰*⋻-57975399","layer":2},{"info":"⋰*⋻2848⋾⨃∁⋰*⋻25A3=⋰*⋻59512734","layer":3},{"info":"∨∊⋏⋰*⋻1050=⋰*⋻1408A","layer":3},{"info":"⋰*⋻59512734⇴⋰*⋻1408A=⋰*⋻3218A192A","layer":2},{"info":"⋰*⋻-57975399⫳≱↱⋰*⋻3218A192A=⋰*⋻-2118","layer":1},{"info":"⋰*⋻10608%⋰*⋻-2118=⋰*⋻-1097","layer":0}]}
{"id":462,"expression_no_base_symbol":"($1311$⨑≵⋬$4573$/$1557$⨸$1173$)⇂≾⫗(($5643$↡⊰⫅$1814$)≃(∤↝$3401$))∛((∂(⫟$3532$))-(↥≼⋛$1219$+⪬∐$1719$))","expression":"(⋰*⋻A92⨑≵⋬⋰*⋻3488/⋰*⋻1196⨸⋰*⋻977)⇂≾⫗((⋰*⋻4270↡⊰⫅⋰*⋻13AA)≃(∤↝⋰*⋻2612))∛((∂(⫟⋰*⋻2721))-(↥≼⋛⋰*⋻A09+⪬∐⋰*⋻1323))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27752,"operation_count":13,"complexity_ratio":2134.769230769231,"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":1311,"base":11},"right_expr":{"type":"numeric_atoms","value":4573,"base":11}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1557,"base":11},"right_expr":{"type":"numeric_atoms","value":1173,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5643,"base":11},"right_expr":{"type":"numeric_atoms","value":1814,"base":11}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3401,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":3532,"base":11}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1219,"base":11},"right_expr":{"type":"numeric_atoms","value":1719,"base":11}}}}},"used_operators":["w2537kitQq","aBQ6xLxuTc","XhwjNDsVaA","XnXgA4xnOs","KmoU8R5UQR","YbVcJGFEVW","VCtxkLNOzz","3UMq87Qwqg","rysDP5nf3Z","Uaa54Peajs","z4E1FaHLuy","x5lMkHmzsq","2GS7woTJqF"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","g55IO6H4Gj","D4vGDi5EA2"],"result":"⋰*⋻-565","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1311","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=4573, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-24077","layer":3},{"info":"number node, value=1557","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=1173, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3114","layer":3},{"info":"compute binary expreesion, left_input=-24077, right_input=3114, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-8","layer":2},{"info":"number node, value=5643","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=5643, right_input=1814, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3628","layer":3},{"info":"number node, value=3401","layer":4},{"info":"compute unary expreesion, input=3401, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=3401","layer":3},{"info":"compute binary expreesion, left_input=3628, right_input=3401, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-14552","layer":2},{"info":"compute binary expreesion, left_input=-8, right_input=-14552, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=3532","layer":4},{"info":"compute unary expreesion, input=3532, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-9689","layer":3},{"info":"compute unary expreesion, input=-9689, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=9425","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=1719, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3657","layer":3},{"info":"compute unary expreesion, input=-3657, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-3624","layer":2},{"info":"compute binary expreesion, left_input=9425, right_input=-3624, op_id = rysDP5nf3Z binary_op_definition= 'None', output=13049","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=13049, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A92⨑≵⋬⋰*⋻3488/⋰*⋻1196⨸⋰*⋻977)⇂≾⫗((⋰*⋻4270↡⊰⫅⋰*⋻13AA)≃(∤↝⋰*⋻2612))∛((∂(⫟⋰*⋻2721))-(↥≼⋛⋰*⋻A09+⪬∐⋰*⋻1323))=⋰*⋻-565","reverse_text":"⋰*⋻-565=(⋰*⋻A92⨑≵⋬⋰*⋻3488/⋰*⋻1196⨸⋰*⋻977)⇂≾⫗((⋰*⋻4270↡⊰⫅⋰*⋻13AA)≃(∤↝⋰*⋻2612))∛((∂(⫟⋰*⋻2721))-(↥≼⋛⋰*⋻A09+⪬∐⋰*⋻1323))","cot":[{"info":"⋰*⋻A92⨑≵⋬⋰*⋻3488=⋰*⋻-170A9","layer":3},{"info":"⋰*⋻1196⨸⋰*⋻977=⋰*⋻2381","layer":3},{"info":"⋰*⋻-170A9/⋰*⋻2381=⋰*⋻-8","layer":2},{"info":"⋰*⋻4270↡⊰⫅⋰*⋻13AA=⋰*⋻27A9","layer":3},{"info":"∤↝⋰*⋻2612=⋰*⋻2612","layer":3},{"info":"⋰*⋻27A9≃⋰*⋻2612=⋰*⋻-AA2A","layer":2},{"info":"⋰*⋻-8⇂≾⫗⋰*⋻-AA2A=⋰*⋻-55A","layer":1},{"info":"⫟⋰*⋻2721=⋰*⋻-7309","layer":3},{"info":"∂⋰*⋻-7309=⋰*⋻7099","layer":2},{"info":"⋰*⋻A09+⪬∐⋰*⋻1323=⋰*⋻-2825","layer":3},{"info":"↥≼⋛⋰*⋻-2825=⋰*⋻-27A5","layer":2},{"info":"⋰*⋻7099-⋰*⋻-27A5=⋰*⋻9893","layer":1},{"info":"⋰*⋻-55A∛⋰*⋻9893=⋰*⋻-565","layer":0}]}
{"id":463,"expression_no_base_symbol":"(($6061$⨔≚≋$1088$⪉⨛(⇖⫷⫕$3862$))∁)↬($1013$⇻⋧≁$2177$≀⫉($1020$⪭≯$4827$)≥⨤⩑(≦∁(∂$2835$)))","expression":"((⋰*⋻4610⨔≚≋⋰*⋻8AA⪉⨛(⇖⫷⫕⋰*⋻29A1))∁)↬(⋰*⋻841⇻⋧≁⋰*⋻16AA≀⫉(⋰*⋻848⪭≯⋰*⋻3699)≥⨤⩑(≦∁(∂⋰*⋻2148)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2237,"operation_count":11,"complexity_ratio":203.36363636363637,"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":6061,"base":11},"right_expr":{"type":"numeric_atoms","value":1088,"base":11}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3862,"base":11}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1013,"base":11},"right_expr":{"type":"numeric_atoms","value":2177,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1020,"base":11},"right_expr":{"type":"numeric_atoms","value":4827,"base":11}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2835,"base":11}}}}},"used_operators":["B5M0gjZbta","jdwGQqwJi5","EWw2JM7wp4","Z57zeUYC9z","UHmRx3INFg","gJLn6v0xnP","oZj3VtZNQx","jCPkEVoL5K","XAx5wpdLa6","9ICcGScMcE","Uaa54Peajs"],"dependent_operators":["rGHVDoGpnC","2DDjHMKMc0","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6061","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=6061, right_input=1088, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=3862","layer":4},{"info":"compute unary expreesion, input=3862, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=2822, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=27009","layer":2},{"info":"compute unary expreesion, input=27009, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=27009","layer":1},{"info":"number node, value=1013","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=2177, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=4827","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=4827, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=2835","layer":4},{"info":"compute unary expreesion, input=2835, 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 = 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=2822, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=27009, right_input=1234, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4610⨔≚≋⋰*⋻8AA⪉⨛(⇖⫷⫕⋰*⋻29A1))∁)↬(⋰*⋻841⇻⋧≁⋰*⋻16AA≀⫉(⋰*⋻848⪭≯⋰*⋻3699)≥⨤⩑(≦∁(∂⋰*⋻2148)))=NaN","reverse_text":"NaN=((⋰*⋻4610⨔≚≋⋰*⋻8AA⪉⨛(⇖⫷⫕⋰*⋻29A1))∁)↬(⋰*⋻841⇻⋧≁⋰*⋻16AA≀⫉(⋰*⋻848⪭≯⋰*⋻3699)≥⨤⩑(≦∁(∂⋰*⋻2148)))","cot":[{"info":"⋰*⋻4610⨔≚≋⋰*⋻8AA=⋰*⋻7465","layer":3},{"info":"⇖⫷⫕⋰*⋻29A1=⋰*⋻2136","layer":3},{"info":"⋰*⋻7465⪉⨛⋰*⋻2136=⋰*⋻19324","layer":2},{"info":"⋰*⋻19324∁=⋰*⋻19324","layer":1},{"info":"⋰*⋻841⇻⋧≁⋰*⋻16AA=⋰*⋻-377","layer":3},{"info":"⋰*⋻848⪭≯⋰*⋻3699=NaN","layer":3},{"info":"⋰*⋻-377≀⫉NaN=⋰*⋻2136","layer":2},{"info":"∂⋰*⋻2148=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⋰*⋻2136≥⨤⩑NaN=⋰*⋻A22","layer":1},{"info":"⋰*⋻19324↬⋰*⋻A22=NaN","layer":0}]}
{"id":464,"expression_no_base_symbol":"(⇁⨣⪵($1925$⇌⫙⪟$1340$)⪢$7044$+⪬∐$2092$)⫩","expression":"(⇁⨣⪵(⋰*⋻14A0⇌⫙⪟⋰*⋻1009)⪢⋰*⋻5324+⪬∐⋰*⋻1632)⫩","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21150,"operation_count":5,"complexity_ratio":4230.0,"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":1925,"base":11},"right_expr":{"type":"numeric_atoms","value":1340,"base":11}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":7044,"base":11},"right_expr":{"type":"numeric_atoms","value":2092,"base":11}}}}},"used_operators":["6aG7x05OhS","inkyxCbjAn","dWAJyo7jo9","AFVx7xoS7T","2GS7woTJqF"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1340, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=7044","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=7044, right_input=2092, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-21132","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-21132, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵(⋰*⋻14A0⇌⫙⪟⋰*⋻1009)⪢⋰*⋻5324+⪬∐⋰*⋻1632)⫩=NaN","reverse_text":"NaN=(⇁⨣⪵(⋰*⋻14A0⇌⫙⪟⋰*⋻1009)⪢⋰*⋻5324+⪬∐⋰*⋻1632)⫩","cot":[{"info":"⋰*⋻14A0⇌⫙⪟⋰*⋻1009=⋰*⋻A3","layer":3},{"info":"⋰*⋻5324+⪬∐⋰*⋻1632=⋰*⋻-14971","layer":3},{"info":"⋰*⋻A3⪢⋰*⋻-14971=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⫩=NaN","layer":0}]}
{"id":465,"expression_no_base_symbol":"(∟⋨(⨮↦↱$4430$))⫢⨠($1507$⨰$1446$)⋣⋖$2947$⪥$3088$↡⊰⫅(≛(∥⊫$1846$⇌⫙⪟$2285$))","expression":"(∟⋨(⨮↦↱⋰*⋻3368))⫢⨠(⋰*⋻1150⨰⋰*⋻10A5)⋣⋖⋰*⋻223A⪥⋰*⋻2358↡⊰⫅(≛(∥⊫⋰*⋻1429⇌⫙⪟⋰*⋻1798))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4267,"operation_count":10,"complexity_ratio":426.7,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4430,"base":11}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1507,"base":11},"right_expr":{"type":"numeric_atoms","value":1446,"base":11}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2947,"base":11},"right_expr":{"type":"numeric_atoms","value":3088,"base":11}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1846,"base":11},"right_expr":{"type":"numeric_atoms","value":2285,"base":11}}}}},"used_operators":["VCtxkLNOzz","xlXykHWxX1","ctOc4cKSDt","sYcpBQ0cFf","J0M6qkBnIM","eewbuw0ToL","QbnwKVWMIQ","W7eaUhjymW","P8v4zCKN1o","AFVx7xoS7T"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","tmPS8pqC7x","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⋰*⋻-19","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4430","layer":4},{"info":"compute unary expreesion, input=4430, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-46527162","layer":3},{"info":"compute unary expreesion, input=-46527162, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=nan","layer":2},{"info":"number node, value=1507","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=1446, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=71","layer":3},{"info":"number node, value=2947","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=3088, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=16440","layer":3},{"info":"compute binary expreesion, left_input=71, right_input=16440, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=71","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=71, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"number node, value=1846","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=2285, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=981","layer":2},{"info":"compute unary expreesion, input=981, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=-20","layer":0}],"base":11,"result_base":11,"text":"(∟⋨(⨮↦↱⋰*⋻3368))⫢⨠(⋰*⋻1150⨰⋰*⋻10A5)⋣⋖⋰*⋻223A⪥⋰*⋻2358↡⊰⫅(≛(∥⊫⋰*⋻1429⇌⫙⪟⋰*⋻1798))=⋰*⋻-19","reverse_text":"⋰*⋻-19=(∟⋨(⨮↦↱⋰*⋻3368))⫢⨠(⋰*⋻1150⨰⋰*⋻10A5)⋣⋖⋰*⋻223A⪥⋰*⋻2358↡⊰⫅(≛(∥⊫⋰*⋻1429⇌⫙⪟⋰*⋻1798))","cot":[{"info":"⨮↦↱⋰*⋻3368=⋰*⋻-24299600","layer":3},{"info":"∟⋨⋰*⋻-24299600=NaN","layer":2},{"info":"⋰*⋻1150⨰⋰*⋻10A5=⋰*⋻65","layer":3},{"info":"⋰*⋻223A⪥⋰*⋻2358=⋰*⋻11396","layer":3},{"info":"⋰*⋻65⋣⋖⋰*⋻11396=⋰*⋻65","layer":2},{"info":"NaN⫢⨠⋰*⋻65=NaN","layer":1},{"info":"⋰*⋻1429⇌⫙⪟⋰*⋻1798=⋰*⋻A3","layer":3},{"info":"∥⊫⋰*⋻A3=⋰*⋻812","layer":2},{"info":"≛⋰*⋻812=⋰*⋻-A","layer":1},{"info":"NaN↡⊰⫅⋰*⋻-A=⋰*⋻-19","layer":0}]}
{"id":466,"expression_no_base_symbol":"(⨞⊢$2635$⨔⇊$6285$)⫘(⋠∜($1691$⪔$1521$))⋾⨃∁((($3806$⊝⪿⪼$6287$)⨘)⊀⩕)","expression":"(⨞⊢⋰*⋻1A86⨔⇊⋰*⋻47A4)⫘(⋠∜(⋰*⋻12A8⪔⋰*⋻1163))⋾⨃∁(((⋰*⋻2950⊝⪿⪼⋰*⋻47A6)⨘)⊀⩕)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":76663,"operation_count":9,"complexity_ratio":8518.111111111111,"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":2635,"base":11},"right_expr":{"type":"numeric_atoms","value":6285,"base":11}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1691,"base":11},"right_expr":{"type":"numeric_atoms","value":1521,"base":11}}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3806,"base":11},"right_expr":{"type":"numeric_atoms","value":6287,"base":11}}}}},"used_operators":["212REbPD9h","48vC8HMD2b","xUOZtlo3hN","JclMnS0uGI","ZJpFhNJr3x","GjBEYRfMaF","r0FS3hW4cC","ljcfZBUpm8","3Oe9XWJUTD"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rGHVDoGpnC","nhYeJWJD5X","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⋰*⋻-86","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2635","layer":4},{"info":"number node, value=6285","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=6285, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6285","layer":3},{"info":"compute unary expreesion, input=6285, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6459","layer":2},{"info":"number node, value=1691","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=1521, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=4084","layer":2},{"info":"compute binary expreesion, left_input=-6459, right_input=4084, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7600189","layer":1},{"info":"number node, value=3806","layer":4},{"info":"number node, value=6287","layer":4},{"info":"compute binary expreesion, left_input=3806, right_input=6287, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=67022","layer":3},{"info":"compute unary expreesion, input=67022, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-469929","layer":2},{"info":"compute unary expreesion, input=-469929, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=7600189, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":0}],"base":11,"result_base":11,"text":"(⨞⊢⋰*⋻1A86⨔⇊⋰*⋻47A4)⫘(⋠∜(⋰*⋻12A8⪔⋰*⋻1163))⋾⨃∁(((⋰*⋻2950⊝⪿⪼⋰*⋻47A6)⨘)⊀⩕)=⋰*⋻-86","reverse_text":"⋰*⋻-86=(⨞⊢⋰*⋻1A86⨔⇊⋰*⋻47A4)⫘(⋠∜(⋰*⋻12A8⪔⋰*⋻1163))⋾⨃∁(((⋰*⋻2950⊝⪿⪼⋰*⋻47A6)⨘)⊀⩕)","cot":[{"info":"⋰*⋻1A86⨔⇊⋰*⋻47A4=⋰*⋻47A4","layer":3},{"info":"⨞⊢⋰*⋻47A4=⋰*⋻-4942","layer":2},{"info":"⋰*⋻12A8⪔⋰*⋻1163=⋰*⋻37A","layer":3},{"info":"⋠∜⋰*⋻37A=⋰*⋻3083","layer":2},{"info":"⋰*⋻-4942⫘⋰*⋻3083=⋰*⋻4321153","layer":1},{"info":"⋰*⋻2950⊝⪿⪼⋰*⋻47A6=⋰*⋻4639A","layer":3},{"info":"⋰*⋻4639A⨘=⋰*⋻-2A1079","layer":2},{"info":"⋰*⋻-2A1079⊀⩕=⋰*⋻0","layer":1},{"info":"⋰*⋻4321153⋾⨃∁⋰*⋻0=⋰*⋻-86","layer":0}]}
{"id":467,"expression_no_base_symbol":"(($3331$∲⫓$6965$)⋥⋵⩄(⪛⨧$2243$)⇮⋭(≸≮$3699$)⩵∡$1498$∣$1542$)∠↢(∮(⨝⨆$1732$⨰$1506$))","expression":"((⋰*⋻2559∲⫓⋰*⋻5262)⋥⋵⩄(⪛⨧⋰*⋻175A)⇮⋭(≸≮⋰*⋻2863)⩵∡⋰*⋻1142∣⋰*⋻1182)∠↢(∮(⨝⨆⋰*⋻1335⨰⋰*⋻114A))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10535,"operation_count":11,"complexity_ratio":957.7272727272727,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3331,"base":11},"right_expr":{"type":"numeric_atoms","value":6965,"base":11}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2243,"base":11}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3699,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1498,"base":11},"right_expr":{"type":"numeric_atoms","value":1542,"base":11}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1732,"base":11},"right_expr":{"type":"numeric_atoms","value":1506,"base":11}}}}},"used_operators":["KbjG8mgYpV","vkpjKywKVM","7t3wd0Fuz7","i8ToyICDmI","6NJAcO2OWT","Y7wcNGrDQJ","AljMvE3RRm","PPChnnnBFF","CqXKPLVYql","bQ67fsrMVf","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","NTOWxs364D","glklzrTFfD","tifHPKVTfV","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","tifHPKVTfV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻1978159","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3331","layer":4},{"info":"number node, value=6965","layer":4},{"info":"compute binary expreesion, left_input=3331, right_input=6965, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2243","layer":4},{"info":"compute unary expreesion, input=2243, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5887","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5887, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=3699","layer":4},{"info":"compute unary expreesion, input=3699, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=1498","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=1542, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1498","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1498, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=1732","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=1506, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=236","layer":3},{"info":"compute unary expreesion, input=236, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=27","layer":2},{"info":"compute unary expreesion, input=27, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238109","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-238109, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=3334340","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2559∲⫓⋰*⋻5262)⋥⋵⩄(⪛⨧⋰*⋻175A)⇮⋭(≸≮⋰*⋻2863)⩵∡⋰*⋻1142∣⋰*⋻1182)∠↢(∮(⨝⨆⋰*⋻1335⨰⋰*⋻114A))=⋰*⋻1978159","reverse_text":"⋰*⋻1978159=((⋰*⋻2559∲⫓⋰*⋻5262)⋥⋵⩄(⪛⨧⋰*⋻175A)⇮⋭(≸≮⋰*⋻2863)⩵∡⋰*⋻1142∣⋰*⋻1182)∠↢(∮(⨝⨆⋰*⋻1335⨰⋰*⋻114A))","cot":[{"info":"⋰*⋻2559∲⫓⋰*⋻5262=⋰*⋻0","layer":3},{"info":"⪛⨧⋰*⋻175A=⋰*⋻4472","layer":3},{"info":"⋰*⋻0⋥⋵⩄⋰*⋻4472=⋰*⋻A3","layer":2},{"info":"≸≮⋰*⋻2863=NaN","layer":3},{"info":"⋰*⋻1142∣⋰*⋻1182=⋰*⋻1142","layer":3},{"info":"NaN⩵∡⋰*⋻1142=NaN","layer":2},{"info":"⋰*⋻A3⇮⋭NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻1335⨰⋰*⋻114A=⋰*⋻1A5","layer":3},{"info":"⨝⨆⋰*⋻1A5=⋰*⋻25","layer":2},{"info":"∮⋰*⋻25=⋰*⋻-152993","layer":1},{"info":"⋰*⋻61∠↢⋰*⋻-152993=⋰*⋻1978159","layer":0}]}
{"id":468,"expression_no_base_symbol":"(⨭⩧⫛(⊀$5869$⪃⊛⇣$1559$))⨐((($3704$∽$7215$)⫌⩉⩟$1483$⪮%⊝$1212$)⫳≱↱(⇤←$3270$)⫲≸⪮(⨣⨃⇪$3598$))","expression":"(⨭⩧⫛(⊀⋰*⋻4456⪃⊛⇣⋰*⋻1198))⨐(((⋰*⋻2868∽⋰*⋻546A)⫌⩉⩟⋰*⋻1129⪮%⊝⋰*⋻A02)⫳≱↱(⇤←⋰*⋻2503)⫲≸⪮(⨣⨃⇪⋰*⋻2781))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38361,"operation_count":11,"complexity_ratio":3487.3636363636365,"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":5869,"base":11},"right_expr":{"type":"numeric_atoms","value":1559,"base":11}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3704,"base":11},"right_expr":{"type":"numeric_atoms","value":7215,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1483,"base":11},"right_expr":{"type":"numeric_atoms","value":1212,"base":11}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":3270,"base":11}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3598,"base":11}}}}},"used_operators":["Noe24qw2ks","g21JL6JxX7","oPMjh9089D","rrgAzCduG9","ZvLB05nZmT","XIIwhv8d0m","y4ImoPnbV5","IWmyXbctLI","P3lXMJvFrc","jfAgQ2OQeM","AcOhelriW5"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5869","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=5869, right_input=1559, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4674","layer":2},{"info":"compute unary expreesion, input=4674, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=3704","layer":4},{"info":"number node, value=7215","layer":4},{"info":"compute binary expreesion, left_input=3704, right_input=7215, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-39987","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=1212, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3282","layer":3},{"info":"compute binary expreesion, left_input=-39987, right_input=3282, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=3270","layer":4},{"info":"compute unary expreesion, input=3270, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-14984","layer":3},{"info":"number node, value=3598","layer":4},{"info":"compute unary expreesion, input=3598, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=-14984, right_input=1405, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-14984","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-14984, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨭⩧⫛(⊀⋰*⋻4456⪃⊛⇣⋰*⋻1198))⨐(((⋰*⋻2868∽⋰*⋻546A)⫌⩉⩟⋰*⋻1129⪮%⊝⋰*⋻A02)⫳≱↱(⇤←⋰*⋻2503)⫲≸⪮(⨣⨃⇪⋰*⋻2781))=NaN","reverse_text":"NaN=(⨭⩧⫛(⊀⋰*⋻4456⪃⊛⇣⋰*⋻1198))⨐(((⋰*⋻2868∽⋰*⋻546A)⫌⩉⩟⋰*⋻1129⪮%⊝⋰*⋻A02)⫳≱↱(⇤←⋰*⋻2503)⫲≸⪮(⨣⨃⇪⋰*⋻2781))","cot":[{"info":"⋰*⋻4456⪃⊛⇣⋰*⋻1198=⋰*⋻A22","layer":3},{"info":"⊀⋰*⋻A22=⋰*⋻356A","layer":2},{"info":"⨭⩧⫛⋰*⋻356A=NaN","layer":1},{"info":"⋰*⋻2868∽⋰*⋻546A=⋰*⋻-28052","layer":3},{"info":"⋰*⋻1129⪮%⊝⋰*⋻A02=⋰*⋻2514","layer":3},{"info":"⋰*⋻-28052⫌⩉⩟⋰*⋻2514=⋰*⋻-46","layer":2},{"info":"⇤←⋰*⋻2503=⋰*⋻-10292","layer":3},{"info":"⨣⨃⇪⋰*⋻2781=⋰*⋻1068","layer":3},{"info":"⋰*⋻-10292⫲≸⪮⋰*⋻1068=⋰*⋻-10292","layer":2},{"info":"⋰*⋻-46⫳≱↱⋰*⋻-10292=⋰*⋻-176","layer":1},{"info":"NaN⨐⋰*⋻-176=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"($3975$⫃⨇$5058$∽$1563$≹⇙⪍$5722$)⊴($3122$⋳⪒$1661$⪁(⪝⪂⫅$2688$))⪔(($3653$∠⫱$3598$)≠≀$1385$∋$1466$≓∲(⪫⨮⊛$1869$)↙$1480$⨔⇊$3002$)","expression":"(⋰*⋻2A94⫃⨇⋰*⋻3889∽⋰*⋻11A1≹⇙⪍⋰*⋻4332)⊴(⋰*⋻2389⋳⪒⋰*⋻1280⪁(⪝⪂⫅⋰*⋻2024))⪔((⋰*⋻2821∠⫱⋰*⋻2781)≠≀⋰*⋻104A∋⋰*⋻1113≓∲(⪫⨮⊛⋰*⋻144A)↙⋰*⋻1126⨔⇊⋰*⋻228A)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1521854,"operation_count":15,"complexity_ratio":101456.93333333333,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3975,"base":11},"right_expr":{"type":"numeric_atoms","value":5058,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1563,"base":11},"right_expr":{"type":"numeric_atoms","value":5722,"base":11}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3122,"base":11},"right_expr":{"type":"numeric_atoms","value":1661,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2688,"base":11}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3653,"base":11},"right_expr":{"type":"numeric_atoms","value":3598,"base":11}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1385,"base":11},"right_expr":{"type":"numeric_atoms","value":1466,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1869,"base":11}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1480,"base":11},"right_expr":{"type":"numeric_atoms","value":3002,"base":11}}}}},"used_operators":["GjBEYRfMaF","Nsiff2A1zJ","y4ImoPnbV5","09Ly4LVMIf","AHs5Up7iyr","I7sXao9hZE","12rbrZMWeM","XTarYq4gQB","s1XTVnmDOJ","IwW236VD4Y","QvoQhV0rrE","ukq6epAj5P","yyfyN0ffXY","w5FWba1tyO","JclMnS0uGI"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tmPS8pqC7x","DpFCA1CohY","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3975","layer":4},{"info":"number node, value=5058","layer":4},{"info":"compute binary expreesion, left_input=3975, right_input=5058, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-20264","layer":3},{"info":"number node, value=1563","layer":4},{"info":"number node, value=5722","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=5722, 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=-20264, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=3122","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=3122, right_input=1661, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4296","layer":3},{"info":"number node, value=2688","layer":4},{"info":"compute unary expreesion, input=2688, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-395136","layer":3},{"info":"compute binary expreesion, left_input=4296, right_input=-395136, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3653","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=3598, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1466, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3055900","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=3055900, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2162","layer":2},{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1480","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=3002, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3002","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3002, 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=-2162, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2A94⫃⨇⋰*⋻3889∽⋰*⋻11A1≹⇙⪍⋰*⋻4332)⊴(⋰*⋻2389⋳⪒⋰*⋻1280⪁(⪝⪂⫅⋰*⋻2024))⪔((⋰*⋻2821∠⫱⋰*⋻2781)≠≀⋰*⋻104A∋⋰*⋻1113≓∲(⪫⨮⊛⋰*⋻144A)↙⋰*⋻1126⨔⇊⋰*⋻228A)=NaN","reverse_text":"NaN=(⋰*⋻2A94⫃⨇⋰*⋻3889∽⋰*⋻11A1≹⇙⪍⋰*⋻4332)⊴(⋰*⋻2389⋳⪒⋰*⋻1280⪁(⪝⪂⫅⋰*⋻2024))⪔((⋰*⋻2821∠⫱⋰*⋻2781)≠≀⋰*⋻104A∋⋰*⋻1113≓∲(⪫⨮⊛⋰*⋻144A)↙⋰*⋻1126⨔⇊⋰*⋻228A)","cot":[{"info":"⋰*⋻2A94⫃⨇⋰*⋻3889=⋰*⋻-14252","layer":3},{"info":"⋰*⋻11A1≹⇙⪍⋰*⋻4332=NaN","layer":3},{"info":"⋰*⋻-14252∽NaN=NaN","layer":2},{"info":"⋰*⋻2389⋳⪒⋰*⋻1280=⋰*⋻3256","layer":3},{"info":"⪝⪂⫅⋰*⋻2024=⋰*⋻-24A965","layer":3},{"info":"⋰*⋻3256⪁⋰*⋻-24A965=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⋰*⋻2821∠⫱⋰*⋻2781=⋰*⋻A22","layer":3},{"info":"⋰*⋻104A∋⋰*⋻1113=⋰*⋻17A7A41","layer":3},{"info":"⋰*⋻A22≠≀⋰*⋻17A7A41=⋰*⋻-1696","layer":2},{"info":"⪫⨮⊛⋰*⋻144A=NaN","layer":3},{"info":"⋰*⋻1126⨔⇊⋰*⋻228A=⋰*⋻228A","layer":3},{"info":"NaN↙⋰*⋻228A=NaN","layer":2},{"info":"⋰*⋻-1696≓∲NaN=⋰*⋻61","layer":1},{"info":"NaN⪔⋰*⋻61=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"(⨴⫝(⨵($2483$⪇≇⋚$1937$)))⩉⊫⨁","expression":"(⨴⫝(⨵(⋰*⋻1958⪇≇⋚⋰*⋻1501)))⩉⊫⨁","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1889,"operation_count":4,"complexity_ratio":472.25,"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":2483,"base":11},"right_expr":{"type":"numeric_atoms","value":1937,"base":11}}}}},"used_operators":["7qqUquhhSb","SVb2v531z1","Tl3Y52tvF8","3sJ7IOPOlU"],"dependent_operators":["7j4O788W3g","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⋰*⋻166195A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2483","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=1937, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=2855","layer":2},{"info":"compute unary expreesion, input=2855, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":1},{"info":"compute unary expreesion, input=2828198, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2828198","layer":0}],"base":11,"result_base":11,"text":"(⨴⫝(⨵(⋰*⋻1958⪇≇⋚⋰*⋻1501)))⩉⊫⨁=⋰*⋻166195A","reverse_text":"⋰*⋻166195A=(⨴⫝(⨵(⋰*⋻1958⪇≇⋚⋰*⋻1501)))⩉⊫⨁","cot":[{"info":"⋰*⋻1958⪇≇⋚⋰*⋻1501=⋰*⋻0","layer":3},{"info":"⨵⋰*⋻0=⋰*⋻2166","layer":2},{"info":"⨴⫝⋰*⋻2166=⋰*⋻166195A","layer":1},{"info":"⋰*⋻166195A⩉⊫⨁=⋰*⋻166195A","layer":0}]}
{"id":471,"expression_no_base_symbol":"(⇘$5409$)↢($5100$⊵↤)⨟⋌⩍($1056$⫉⨲⊜$5087$⊹∫⫚$2462$⩁⩘$1073$)∖((⫓⪴$1341$)∸)⪨⊡($1293$∋$2941$)⩖⊿($2970$⩁⩘$7123$)","expression":"(⇘⋰*⋻4078)↢(⋰*⋻3917⊵↤)⨟⋌⩍(⋰*⋻880⫉⨲⊜⋰*⋻3905⊹∫⫚⋰*⋻1939⩁⩘⋰*⋻896)∖((⫓⪴⋰*⋻100A)∸)⪨⊡(⋰*⋻A76∋⋰*⋻2234)⩖⊿(⋰*⋻2260⩁⩘⋰*⋻5396)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7603804,"operation_count":14,"complexity_ratio":543128.8571428572,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":5409,"base":11}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":5100,"base":11}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1056,"base":11},"right_expr":{"type":"numeric_atoms","value":5087,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2462,"base":11},"right_expr":{"type":"numeric_atoms","value":1073,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1341,"base":11}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1293,"base":11},"right_expr":{"type":"numeric_atoms","value":2941,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2970,"base":11},"right_expr":{"type":"numeric_atoms","value":7123,"base":11}}}}},"used_operators":["tXD093vOjl","rGHVDoGpnC","WR6HLWljOP","MGuIdZPyUC","7IPrd9c3lf","uWAJUKEvyW","WhqkvtTD3t","gub5Cegaqo","kuIXHzHcAH","o20kRiQErp","eLxqMNBOBk","RZ5CV9rWsJ","ukq6epAj5P"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Tcnh7f0tEr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eewbuw0ToL","zVYPLywUTj","DpFCA1CohY","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","tmPS8pqC7x","9HNa5Wba9A","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5409","layer":4},{"info":"compute unary expreesion, input=5409, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=318922","layer":3},{"info":"number node, value=5100","layer":4},{"info":"compute unary expreesion, input=5100, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=318922, right_input=67, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=318438","layer":2},{"info":"number node, value=1056","layer":4},{"info":"number node, value=5087","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=5087, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=2462","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=1073, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5240","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5240, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-28","layer":2},{"info":"compute binary expreesion, left_input=318438, right_input=-28, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"number node, value=1341","layer":4},{"info":"compute unary expreesion, input=1341, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1798281","layer":3},{"info":"compute unary expreesion, input=1798281, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1293","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=2941, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6107316","layer":3},{"info":"number node, value=2970","layer":4},{"info":"number node, value=7123","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=7123, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=29440","layer":3},{"info":"compute binary expreesion, left_input=6107316, right_input=29440, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-24193826","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-24193826, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=96776093","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=96776093, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⇘⋰*⋻4078)↢(⋰*⋻3917⊵↤)⨟⋌⩍(⋰*⋻880⫉⨲⊜⋰*⋻3905⊹∫⫚⋰*⋻1939⩁⩘⋰*⋻896)∖((⫓⪴⋰*⋻100A)∸)⪨⊡(⋰*⋻A76∋⋰*⋻2234)⩖⊿(⋰*⋻2260⩁⩘⋰*⋻5396)=⋰*⋻0","reverse_text":"⋰*⋻0=(⇘⋰*⋻4078)↢(⋰*⋻3917⊵↤)⨟⋌⩍(⋰*⋻880⫉⨲⊜⋰*⋻3905⊹∫⫚⋰*⋻1939⩁⩘⋰*⋻896)∖((⫓⪴⋰*⋻100A)∸)⪨⊡(⋰*⋻A76∋⋰*⋻2234)⩖⊿(⋰*⋻2260⩁⩘⋰*⋻5396)","cot":[{"info":"⇘⋰*⋻4078=⋰*⋻1A867A","layer":3},{"info":"⋰*⋻3917⊵↤=⋰*⋻61","layer":3},{"info":"⋰*⋻1A867A↢⋰*⋻61=⋰*⋻1A827A","layer":2},{"info":"⋰*⋻880⫉⨲⊜⋰*⋻3905=⋰*⋻0","layer":3},{"info":"⋰*⋻1939⩁⩘⋰*⋻896=⋰*⋻3A34","layer":3},{"info":"⋰*⋻0⊹∫⫚⋰*⋻3A34=⋰*⋻-26","layer":2},{"info":"⋰*⋻1A827A⨟⋌⩍⋰*⋻-26=⋰*⋻0","layer":1},{"info":"⫓⪴⋰*⋻100A=⋰*⋻1019091","layer":3},{"info":"⋰*⋻1019091∸=⋰*⋻151","layer":2},{"info":"⋰*⋻A76∋⋰*⋻2234=⋰*⋻34A1576","layer":3},{"info":"⋰*⋻2260⩁⩘⋰*⋻5396=⋰*⋻20134","layer":3},{"info":"⋰*⋻34A1576⩖⊿⋰*⋻20134=⋰*⋻-127251A8","layer":2},{"info":"⋰*⋻151⪨⊡⋰*⋻-127251A8=⋰*⋻4A69A347","layer":1},{"info":"⋰*⋻0∖⋰*⋻4A69A347=⋰*⋻0","layer":0}]}
{"id":472,"expression_no_base_symbol":"(($1442$↓$1906$)↓($5144$∙∹∝$1390$)⨻⩈⩔(($2724$*$1248$)⋅⇍$1216$↓$1430$))∣($2532$⩺⪪$1691$+$2933$⊲⩕⊾$3305$)⪃⊛⇣((⪨⨬$1463$)⩱)","expression":"((⋰*⋻10A1↓⋰*⋻1483)↓(⋰*⋻3957∙∹∝⋰*⋻1054)⨻⩈⩔((⋰*⋻2057*⋰*⋻A35)⋅⇍⋰*⋻A06↓⋰*⋻1090))∣(⋰*⋻19A2⩺⪪⋰*⋻12A8+⋰*⋻2227⊲⩕⊾⋰*⋻2535)⪃⊛⇣((⪨⨬⋰*⋻1110)⩱)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":49675,"operation_count":14,"complexity_ratio":3548.214285714286,"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":1442,"base":11},"right_expr":{"type":"numeric_atoms","value":1906,"base":11}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5144,"base":11},"right_expr":{"type":"numeric_atoms","value":1390,"base":11}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2724,"base":11},"right_expr":{"type":"numeric_atoms","value":1248,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1216,"base":11},"right_expr":{"type":"numeric_atoms","value":1430,"base":11}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2532,"base":11},"right_expr":{"type":"numeric_atoms","value":1691,"base":11}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2933,"base":11},"right_expr":{"type":"numeric_atoms","value":3305,"base":11}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1463,"base":11}}}}},"used_operators":["PPChnnnBFF","nEsXyWgiOK","Af076pWI7l","HmxsFra2vL","AdZkA7nFnk","9HNa5Wba9A","rrgAzCduG9","W4YGzv6Whe","uvdQJvN4PV","DmTXOeWf9t","uyq1hVkAcj","5obUd6DV38"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","T2fj7uvVaJ","nlCqmYiOvY"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1442","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=1906, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=5144","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=5144, right_input=1390, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":2},{"info":"number node, value=2724","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=1248, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3399552","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=1430, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=3399552, right_input=-134, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-242, right_input=-22, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=2532","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=1691, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-14354","layer":3},{"info":"number node, value=2933","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=3305, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-76608","layer":3},{"info":"compute binary expreesion, left_input=-14354, right_input=-76608, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-90962","layer":2},{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=2906","layer":2},{"info":"compute binary expreesion, left_input=-90962, right_input=2906, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=1234, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-174","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻10A1↓⋰*⋻1483)↓(⋰*⋻3957∙∹∝⋰*⋻1054)⨻⩈⩔((⋰*⋻2057*⋰*⋻A35)⋅⇍⋰*⋻A06↓⋰*⋻1090))∣(⋰*⋻19A2⩺⪪⋰*⋻12A8+⋰*⋻2227⊲⩕⊾⋰*⋻2535)⪃⊛⇣((⪨⨬⋰*⋻1110)⩱)=⋰*⋻-149","reverse_text":"⋰*⋻-149=((⋰*⋻10A1↓⋰*⋻1483)↓(⋰*⋻3957∙∹∝⋰*⋻1054)⨻⩈⩔((⋰*⋻2057*⋰*⋻A35)⋅⇍⋰*⋻A06↓⋰*⋻1090))∣(⋰*⋻19A2⩺⪪⋰*⋻12A8+⋰*⋻2227⊲⩕⊾⋰*⋻2535)⪃⊛⇣((⪨⨬⋰*⋻1110)⩱)","cot":[{"info":"⋰*⋻10A1↓⋰*⋻1483=⋰*⋻-112","layer":3},{"info":"⋰*⋻3957∙∹∝⋰*⋻1054=⋰*⋻0","layer":3},{"info":"⋰*⋻-112↓⋰*⋻0=⋰*⋻-200","layer":2},{"info":"⋰*⋻2057*⋰*⋻A35=⋰*⋻1A12152","layer":3},{"info":"⋰*⋻A06↓⋰*⋻1090=⋰*⋻-112","layer":3},{"info":"⋰*⋻1A12152⋅⇍⋰*⋻-112=⋰*⋻-20","layer":2},{"info":"⋰*⋻-200⨻⩈⩔⋰*⋻-20=⋰*⋻-149","layer":1},{"info":"⋰*⋻19A2⩺⪪⋰*⋻12A8=⋰*⋻-A86A","layer":3},{"info":"⋰*⋻2227⊲⩕⊾⋰*⋻2535=⋰*⋻-52614","layer":3},{"info":"⋰*⋻-A86A+⋰*⋻-52614=⋰*⋻-62383","layer":2},{"info":"⪨⨬⋰*⋻1110=⋰*⋻-439","layer":3},{"info":"⋰*⋻-439⩱=⋰*⋻2202","layer":2},{"info":"⋰*⋻-62383⪃⊛⇣⋰*⋻2202=⋰*⋻A22","layer":1},{"info":"⋰*⋻-149∣⋰*⋻A22=⋰*⋻-149","layer":0}]}
{"id":473,"expression_no_base_symbol":"(⊲⪭(($3627$⋳⪒$2171$)⊉↱≁(⫡⇟⇯$2456$)))∠⫱(⊵⊁($1179$⨿$5544$↠))","expression":"(⊲⪭((⋰*⋻27A8⋳⪒⋰*⋻16A4)⊉↱≁(⫡⇟⇯⋰*⋻1933)))∠⫱(⊵⊁(⋰*⋻982⨿⋰*⋻4190↠))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1861,"operation_count":8,"complexity_ratio":232.625,"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":3627,"base":11},"right_expr":{"type":"numeric_atoms","value":2171,"base":11}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2456,"base":11}}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1179,"base":11},"right_expr":{"type":"numeric_atoms","value":5544,"base":11}}}}},"used_operators":["QvoQhV0rrE","k7HXdKtiEU","w2P8NbNXyL","12rbrZMWeM","qWUSsah53b","AvED76WdY7","LBdsKIvxzf","abYXlopdE0"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","uBihLCJcMX","k8jYdgA6NY","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3627","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=2171, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4796","layer":3},{"info":"number node, value=2456","layer":4},{"info":"compute unary expreesion, input=2456, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5780","layer":3},{"info":"compute binary expreesion, left_input=4796, right_input=5780, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=12166","layer":2},{"info":"compute unary expreesion, input=12166, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-12340","layer":1},{"info":"number node, value=1179","layer":4},{"info":"number node, value=5544","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=5544, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12340, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊲⪭((⋰*⋻27A8⋳⪒⋰*⋻16A4)⊉↱≁(⫡⇟⇯⋰*⋻1933)))∠⫱(⊵⊁(⋰*⋻982⨿⋰*⋻4190↠))=NaN","reverse_text":"NaN=(⊲⪭((⋰*⋻27A8⋳⪒⋰*⋻16A4)⊉↱≁(⫡⇟⇯⋰*⋻1933)))∠⫱(⊵⊁(⋰*⋻982⨿⋰*⋻4190↠))","cot":[{"info":"⋰*⋻27A8⋳⪒⋰*⋻16A4=⋰*⋻3670","layer":3},{"info":"⫡⇟⇯⋰*⋻1933=⋰*⋻4385","layer":3},{"info":"⋰*⋻3670⊉↱≁⋰*⋻4385=⋰*⋻9160","layer":2},{"info":"⊲⪭⋰*⋻9160=⋰*⋻-92A9","layer":1},{"info":"⋰*⋻982⨿⋰*⋻4190=⋰*⋻-270","layer":3},{"info":"⋰*⋻-270↠=NaN","layer":2},{"info":"⊵⊁NaN=NaN","layer":1},{"info":"⋰*⋻-92A9∠⫱NaN=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"(($2646$⫍⨯↯)⪛(↩$8617$))⊴(($8278$⪒$1831$)⪇≇⋚($4502$⋩≍≻))⫌⩉⩟(⩦⊞(⩦⊞$2940$)⪪(⨝⨆$1249$))","expression":"((⋰*⋻1A96⫍⨯↯)⪛(↩⋰*⋻6524))⊴((⋰*⋻6246⪒⋰*⋻1415)⪇≇⋚(⋰*⋻3423⋩≍≻))⫌⩉⩟(⩦⊞(⩦⊞⋰*⋻2233)⪪(⨝⨆⋰*⋻A36))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":72743,"operation_count":12,"complexity_ratio":6061.916666666667,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":2646,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":8617,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8278,"base":11},"right_expr":{"type":"numeric_atoms","value":1831,"base":11}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":4502,"base":11}}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2940,"base":11}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1249,"base":11}}}}},"used_operators":["XIIwhv8d0m","Nsiff2A1zJ","uFcxV4UQCh","ZcwmYACASQ","jLgFTUHLKL","3sJ7IOPOlU","f6k1SAg4EE","WYd1w68Nbz","u7fv1HBiaC","xD69zh8xqp","bQ67fsrMVf"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","FU0Cs4j7VP","JclMnS0uGI","tifHPKVTfV"],"result":"⋰*⋻-46","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2646","layer":4},{"info":"compute unary expreesion, input=2646, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=2613","layer":3},{"info":"number node, value=8617","layer":4},{"info":"compute unary expreesion, input=8617, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-66156","layer":3},{"info":"compute binary expreesion, left_input=2613, right_input=-66156, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-63543","layer":2},{"info":"number node, value=8278","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=8278, right_input=1831, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10109","layer":3},{"info":"number node, value=4502","layer":4},{"info":"compute unary expreesion, input=4502, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=-10109, right_input=-55, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-63543, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"number node, value=2940","layer":4},{"info":"compute unary expreesion, input=2940, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2667","layer":3},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1040","layer":3},{"info":"compute binary expreesion, left_input=-2667, right_input=1040, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute unary expreesion, input=-6206, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-12468","layer":1},{"info":"compute binary expreesion, left_input=-79, right_input=-12468, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A96⫍⨯↯)⪛(↩⋰*⋻6524))⊴((⋰*⋻6246⪒⋰*⋻1415)⪇≇⋚(⋰*⋻3423⋩≍≻))⫌⩉⩟(⩦⊞(⩦⊞⋰*⋻2233)⪪(⨝⨆⋰*⋻A36))=⋰*⋻-46","reverse_text":"⋰*⋻-46=((⋰*⋻1A96⫍⨯↯)⪛(↩⋰*⋻6524))⊴((⋰*⋻6246⪒⋰*⋻1415)⪇≇⋚(⋰*⋻3423⋩≍≻))⫌⩉⩟(⩦⊞(⩦⊞⋰*⋻2233)⪪(⨝⨆⋰*⋻A36))","cot":[{"info":"⋰*⋻1A96⫍⨯↯=⋰*⋻1A66","layer":3},{"info":"↩⋰*⋻6524=⋰*⋻-45782","layer":3},{"info":"⋰*⋻1A66⪛⋰*⋻-45782=⋰*⋻-43817","layer":2},{"info":"⋰*⋻6246⪒⋰*⋻1415=⋰*⋻-7660","layer":3},{"info":"⋰*⋻3423⋩≍≻=⋰*⋻-50","layer":3},{"info":"⋰*⋻-7660⪇≇⋚⋰*⋻-50=⋰*⋻0","layer":2},{"info":"⋰*⋻-43817⊴⋰*⋻0=⋰*⋻-72","layer":1},{"info":"⩦⊞⋰*⋻2233=⋰*⋻-2005","layer":3},{"info":"⨝⨆⋰*⋻A36=⋰*⋻866","layer":3},{"info":"⋰*⋻-2005⪪⋰*⋻866=⋰*⋻-4732","layer":2},{"info":"⩦⊞⋰*⋻-4732=⋰*⋻-9405","layer":1},{"info":"⋰*⋻-72⫌⩉⩟⋰*⋻-9405=⋰*⋻-46","layer":0}]}
{"id":475,"expression_no_base_symbol":"((↸⊣($2011$∽$3851$))⇴∐((⊆⋠$1645$)≭($1108$⇼⇔∾$6474$)))⇌⫙⪟((($1601$⪛⫼$2310$)⨎(⩒∊$1650$))⩺⋐⫨)","expression":"((↸⊣(⋰*⋻1569∽⋰*⋻2991))⇴∐((⊆⋠⋰*⋻1266)≭(⋰*⋻918⇼⇔∾⋰*⋻4956)))⇌⫙⪟(((⋰*⋻1226⪛⫼⋰*⋻1810)⨎(⩒∊⋰*⋻1270))⩺⋐⫨)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":776,"operation_count":11,"complexity_ratio":70.54545454545455,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2011,"base":11},"right_expr":{"type":"numeric_atoms","value":3851,"base":11}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1645,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1108,"base":11},"right_expr":{"type":"numeric_atoms","value":6474,"base":11}}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1601,"base":11},"right_expr":{"type":"numeric_atoms","value":2310,"base":11}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1650,"base":11}}}}},"used_operators":["AFVx7xoS7T","HnzytWxmAO","wztAlM01eG","y4ImoPnbV5","rxpJgHHUmx","EBhcHTkKd8","tifHPKVTfV","yS9ePUuUdn","rJVOvQCfKK","hyuBjUqXlG","qazvmhNBbN"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","NTOWxs364D","QMFrweE19q","AHs5Up7iyr","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2011","layer":4},{"info":"number node, value=3851","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=3851, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-21430","layer":3},{"info":"compute unary expreesion, input=-21430, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=42860","layer":2},{"info":"number node, value=1645","layer":4},{"info":"compute unary expreesion, input=1645, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=6474","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=6474, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5366","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5366, 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=42860, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=1601","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=2310, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2543","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=2543, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2543","layer":2},{"info":"compute unary expreesion, input=2543, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↸⊣(⋰*⋻1569∽⋰*⋻2991))⇴∐((⊆⋠⋰*⋻1266)≭(⋰*⋻918⇼⇔∾⋰*⋻4956)))⇌⫙⪟(((⋰*⋻1226⪛⫼⋰*⋻1810)⨎(⩒∊⋰*⋻1270))⩺⋐⫨)=NaN","reverse_text":"NaN=((↸⊣(⋰*⋻1569∽⋰*⋻2991))⇴∐((⊆⋠⋰*⋻1266)≭(⋰*⋻918⇼⇔∾⋰*⋻4956)))⇌⫙⪟(((⋰*⋻1226⪛⫼⋰*⋻1810)⨎(⩒∊⋰*⋻1270))⩺⋐⫨)","cot":[{"info":"⋰*⋻1569∽⋰*⋻2991=⋰*⋻-15112","layer":3},{"info":"↸⊣⋰*⋻-15112=⋰*⋻2A224","layer":2},{"info":"⊆⋠⋰*⋻1266=⋰*⋻0","layer":3},{"info":"⋰*⋻918⇼⇔∾⋰*⋻4956=⋰*⋻4039","layer":3},{"info":"⋰*⋻0≭⋰*⋻4039=NaN","layer":2},{"info":"⋰*⋻2A224⇴∐NaN=NaN","layer":1},{"info":"⋰*⋻1226⪛⫼⋰*⋻1810=⋰*⋻800","layer":3},{"info":"⩒∊⋰*⋻1270=⋰*⋻1A02","layer":3},{"info":"⋰*⋻800⨎⋰*⋻1A02=⋰*⋻1A02","layer":2},{"info":"⋰*⋻1A02⩺⋐⫨=⋰*⋻0","layer":1},{"info":"NaN⇌⫙⪟⋰*⋻0=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"⇁⨣⪵((⨂⪏⇭$5414$)∷($1781$⪒$4072$))⊨($1071$⋝⋈⪟$1248$⩟)","expression":"⇁⨣⪵((⨂⪏⇭⋰*⋻4082)∷(⋰*⋻137A⪒⋰*⋻3072))⊨(⋰*⋻894⋝⋈⪟⋰*⋻A35⩟)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55,"operation_count":7,"complexity_ratio":7.857142857142857,"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":5414,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1781,"base":11},"right_expr":{"type":"numeric_atoms","value":4072,"base":11}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":1248,"base":11}}}}},"used_operators":["inkyxCbjAn","vg4gO5BX6G","D3AQDKkPcf","AYdpE9sXAk","f6k1SAg4EE","fOIeswaMU4","2DDjHMKMc0"],"dependent_operators":["B5M0gjZbta","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5414","layer":4},{"info":"compute unary expreesion, input=5414, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=15263","layer":3},{"info":"number node, value=1781","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=1781, right_input=4072, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5853","layer":3},{"info":"compute binary expreesion, left_input=15263, right_input=-5853, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-16057","layer":2},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1248, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1071","layer":3},{"info":"compute unary expreesion, input=1071, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-8412","layer":2},{"info":"compute binary expreesion, left_input=-16057, right_input=-8412, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"compute unary expreesion, input=-174, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇁⨣⪵((⨂⪏⇭⋰*⋻4082)∷(⋰*⋻137A⪒⋰*⋻3072))⊨(⋰*⋻894⋝⋈⪟⋰*⋻A35⩟)=NaN","reverse_text":"NaN=⇁⨣⪵((⨂⪏⇭⋰*⋻4082)∷(⋰*⋻137A⪒⋰*⋻3072))⊨(⋰*⋻894⋝⋈⪟⋰*⋻A35⩟)","cot":[{"info":"⨂⪏⇭⋰*⋻4082=⋰*⋻10516","layer":3},{"info":"⋰*⋻137A⪒⋰*⋻3072=⋰*⋻-4441","layer":3},{"info":"⋰*⋻10516∷⋰*⋻-4441=⋰*⋻-11078","layer":2},{"info":"⋰*⋻894⋝⋈⪟⋰*⋻A35=⋰*⋻894","layer":3},{"info":"⋰*⋻894⩟=⋰*⋻-6358","layer":2},{"info":"⋰*⋻-11078⊨⋰*⋻-6358=⋰*⋻-149","layer":1},{"info":"⇁⨣⪵⋰*⋻-149=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"(($3045$⫲≸⪮$2580$)⫁($1862$≬⋮$2840$)⩎⪣⊞)⪮%⊝((⊥$3927$)⪃⊛⇣($3169$⊹∫⫚$2705$)≭($5994$⩒⫫$2564$⨭⪣$2059$⨔⇊$5089$))","expression":"((⋰*⋻2319⫲≸⪮⋰*⋻1A36)⫁(⋰*⋻1443≬⋮⋰*⋻2152)⩎⪣⊞)⪮%⊝((⊥⋰*⋻2A50)⪃⊛⇣(⋰*⋻2421⊹∫⫚⋰*⋻203A)≭(⋰*⋻455A⩒⫫⋰*⋻1A21⨭⪣⋰*⋻1602⨔⇊⋰*⋻3907))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6076,"operation_count":12,"complexity_ratio":506.3333333333333,"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":3045,"base":11},"right_expr":{"type":"numeric_atoms","value":2580,"base":11}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1862,"base":11},"right_expr":{"type":"numeric_atoms","value":2840,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3927,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3169,"base":11},"right_expr":{"type":"numeric_atoms","value":2705,"base":11}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5994,"base":11},"right_expr":{"type":"numeric_atoms","value":2564,"base":11}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2059,"base":11},"right_expr":{"type":"numeric_atoms","value":5089,"base":11}}}}},"used_operators":["IWmyXbctLI","waWucp1uQ4","0ajvFaJAv0","P3lXMJvFrc","kbkesczE7y","rxpJgHHUmx","rrgAzCduG9","Q3PJZHRvZv","uWAJUKEvyW","kn8WO9XteQ","KFSx94NKJn","JclMnS0uGI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","mp7IySMOzn","cHh1gJQ2o6","AHs5Up7iyr","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","AHs5Up7iyr","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","fu6greOZ01","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3045","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=3045, right_input=2580, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3045","layer":3},{"info":"number node, value=1862","layer":4},{"info":"number node, value=2840","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=2840, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=3045, right_input=868, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=320","layer":1},{"info":"number node, value=3927","layer":4},{"info":"compute unary expreesion, input=3927, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3169","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=2705, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-268","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-268, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=5994","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=5994, right_input=2564, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5692","layer":3},{"info":"number node, value=2059","layer":4},{"info":"number node, value=5089","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=5089, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5089","layer":3},{"info":"compute binary expreesion, left_input=5692, right_input=5089, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4413","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=4413, 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=320, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2319⫲≸⪮⋰*⋻1A36)⫁(⋰*⋻1443≬⋮⋰*⋻2152)⩎⪣⊞)⪮%⊝((⊥⋰*⋻2A50)⪃⊛⇣(⋰*⋻2421⊹∫⫚⋰*⋻203A)≭(⋰*⋻455A⩒⫫⋰*⋻1A21⨭⪣⋰*⋻1602⨔⇊⋰*⋻3907))=NaN","reverse_text":"NaN=((⋰*⋻2319⫲≸⪮⋰*⋻1A36)⫁(⋰*⋻1443≬⋮⋰*⋻2152)⩎⪣⊞)⪮%⊝((⊥⋰*⋻2A50)⪃⊛⇣(⋰*⋻2421⊹∫⫚⋰*⋻203A)≭(⋰*⋻455A⩒⫫⋰*⋻1A21⨭⪣⋰*⋻1602⨔⇊⋰*⋻3907))","cot":[{"info":"⋰*⋻2319⫲≸⪮⋰*⋻1A36=⋰*⋻2319","layer":3},{"info":"⋰*⋻1443≬⋮⋰*⋻2152=⋰*⋻71A","layer":3},{"info":"⋰*⋻2319⫁⋰*⋻71A=⋰*⋻136","layer":2},{"info":"⋰*⋻136⩎⪣⊞=⋰*⋻271","layer":1},{"info":"⊥⋰*⋻2A50=NaN","layer":3},{"info":"⋰*⋻2421⊹∫⫚⋰*⋻203A=⋰*⋻-224","layer":3},{"info":"NaN⪃⊛⇣⋰*⋻-224=⋰*⋻A22","layer":2},{"info":"⋰*⋻455A⩒⫫⋰*⋻1A21=⋰*⋻4305","layer":3},{"info":"⋰*⋻1602⨔⇊⋰*⋻3907=⋰*⋻3907","layer":3},{"info":"⋰*⋻4305⨭⪣⋰*⋻3907=⋰*⋻3352","layer":2},{"info":"⋰*⋻A22≭⋰*⋻3352=NaN","layer":1},{"info":"⋰*⋻271⪮%⊝NaN=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"(∟⋨($1902$⇌⫙⪟$2755$))⫰⋱(⊊≼∋(⨵≀≌$5058$))∪⫐(↪⫪⫘($1220$∌↝$1266$))⨳⩥⨓($5270$⨥⫆$2447$⨀⨒)","expression":"(∟⋨(⋰*⋻147A⇌⫙⪟⋰*⋻2085))⫰⋱(⊊≼∋(⨵≀≌⋰*⋻3889))∪⫐(↪⫪⫘(⋰*⋻A0A∌↝⋰*⋻A51))⨳⩥⨓(⋰*⋻3A61⨥⫆⋰*⋻1925⨀⨒)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":264,"operation_count":11,"complexity_ratio":24.0,"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":1902,"base":11},"right_expr":{"type":"numeric_atoms","value":2755,"base":11}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5058,"base":11}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1220,"base":11},"right_expr":{"type":"numeric_atoms","value":1266,"base":11}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5270,"base":11},"right_expr":{"type":"numeric_atoms","value":2447,"base":11}}}}},"used_operators":["7YooWSwCyH","6o9Blt3TJ6","ctOc4cKSDt","AFVx7xoS7T","FWz7pXsQhA","srAu1WTS94","nCS4ZIUYfx","9dWsAM3GFt","9Isq31Ruls","j6NVkjMzuk","yXekIHxTD4"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","B5M0gjZbta","jCPkEVoL5K","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=2755, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=371","layer":2},{"info":"number node, value=5058","layer":4},{"info":"compute unary expreesion, input=5058, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15174","layer":3},{"info":"compute unary expreesion, input=-15174, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=371, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=1220","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=1266, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=5270","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=5270, right_input=2447, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4770","layer":3},{"info":"compute unary expreesion, input=4770, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=63512","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=63512, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=63492","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=63492, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∟⋨(⋰*⋻147A⇌⫙⪟⋰*⋻2085))⫰⋱(⊊≼∋(⨵≀≌⋰*⋻3889))∪⫐(↪⫪⫘(⋰*⋻A0A∌↝⋰*⋻A51))⨳⩥⨓(⋰*⋻3A61⨥⫆⋰*⋻1925⨀⨒)=NaN","reverse_text":"NaN=(∟⋨(⋰*⋻147A⇌⫙⪟⋰*⋻2085))⫰⋱(⊊≼∋(⨵≀≌⋰*⋻3889))∪⫐(↪⫪⫘(⋰*⋻A0A∌↝⋰*⋻A51))⨳⩥⨓(⋰*⋻3A61⨥⫆⋰*⋻1925⨀⨒)","cot":[{"info":"⋰*⋻147A⇌⫙⪟⋰*⋻2085=⋰*⋻A3","layer":3},{"info":"∟⋨⋰*⋻A3=⋰*⋻308","layer":2},{"info":"⨵≀≌⋰*⋻3889=⋰*⋻-10445","layer":3},{"info":"⊊≼∋⋰*⋻-10445=NaN","layer":2},{"info":"⋰*⋻308⫰⋱NaN=NaN","layer":1},{"info":"⋰*⋻A0A∌↝⋰*⋻A51=⋰*⋻0","layer":3},{"info":"↪⫪⫘⋰*⋻0=⋰*⋻19","layer":2},{"info":"⋰*⋻3A61⨥⫆⋰*⋻1925=⋰*⋻3647","layer":3},{"info":"⋰*⋻3647⨀⨒=⋰*⋻43799","layer":2},{"info":"⋰*⋻19⨳⩥⨓⋰*⋻43799=⋰*⋻43780","layer":1},{"info":"NaN∪⫐⋰*⋻43780=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"($3072$⫯⪬∳$1671$∇⊂⋱$5278$⫘$4465$≬⇓($4114$∕⩚$2609$)⊹∫⫚$6295$⨟⋌⩍$2636$)⨪↰⇹(($6255$≬⇓$1887$)≝⊿($6200$∖$5897$)⫰⋱($1874$⫸⊐$5570$)⪚($6099$⇣⩺⋵$2102$))","expression":"(⋰*⋻2343⫯⪬∳⋰*⋻128A∇⊂⋱⋰*⋻3A69⫘⋰*⋻339A≬⇓(⋰*⋻3100∕⩚⋰*⋻1A62)⊹∫⫚⋰*⋻4803⨟⋌⩍⋰*⋻1A87)⨪↰⇹((⋰*⋻4777≬⇓⋰*⋻1466)≝⊿(⋰*⋻4727∖⋰*⋻4481)⫰⋱(⋰*⋻1454⫸⊐⋰*⋻4204)⪚(⋰*⋻4645⇣⩺⋵⋰*⋻1641))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":37910,"operation_count":15,"complexity_ratio":2527.3333333333335,"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":3072,"base":11},"right_expr":{"type":"numeric_atoms","value":1671,"base":11}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5278,"base":11},"right_expr":{"type":"numeric_atoms","value":4465,"base":11}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4114,"base":11},"right_expr":{"type":"numeric_atoms","value":2609,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6295,"base":11},"right_expr":{"type":"numeric_atoms","value":2636,"base":11}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":6255,"base":11},"right_expr":{"type":"numeric_atoms","value":1887,"base":11}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6200,"base":11},"right_expr":{"type":"numeric_atoms","value":5897,"base":11}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1874,"base":11},"right_expr":{"type":"numeric_atoms","value":5570,"base":11}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6099,"base":11},"right_expr":{"type":"numeric_atoms","value":2102,"base":11}}}}},"used_operators":["tmPS8pqC7x","jWTQ2TZYIH","nhYeJWJD5X","d7ASUq0ydm","48vC8HMD2b","uWAJUKEvyW","z9ffQ9n5Zr","rGHVDoGpnC","6o9Blt3TJ6","OKKcZfAt5B","tXD093vOjl","HrjLwUk87U","mqXw5SEYmG","F4yD0voBRQ"],"dependent_operators":["rJVOvQCfKK","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Tcnh7f0tEr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⋰*⋻19704","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3072","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=1671, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13722","layer":3},{"info":"number node, value=5278","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=5278, right_input=4465, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6211333","layer":3},{"info":"compute binary expreesion, left_input=13722, right_input=6211333, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=26898","layer":2},{"info":"number node, value=4114","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=4114, right_input=2609, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4117","layer":3},{"info":"number node, value=6295","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=6295, right_input=2636, 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=-4117, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26898, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-27471","layer":1},{"info":"number node, value=6255","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=6255, right_input=1887, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=6200","layer":4},{"info":"number node, value=5897","layer":4},{"info":"compute binary expreesion, left_input=6200, right_input=5897, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-511","layer":2},{"info":"number node, value=1874","layer":4},{"info":"number node, value=5570","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=5570, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22155","layer":3},{"info":"number node, value=6099","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=6099, right_input=2102, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=22155, right_input=-260, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=44474","layer":2},{"info":"compute binary expreesion, left_input=-511, right_input=44474, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=544","layer":1},{"info":"compute binary expreesion, left_input=-27471, right_input=544, 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=27471","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2343⫯⪬∳⋰*⋻128A∇⊂⋱⋰*⋻3A69⫘⋰*⋻339A≬⇓(⋰*⋻3100∕⩚⋰*⋻1A62)⊹∫⫚⋰*⋻4803⨟⋌⩍⋰*⋻1A87)⨪↰⇹((⋰*⋻4777≬⇓⋰*⋻1466)≝⊿(⋰*⋻4727∖⋰*⋻4481)⫰⋱(⋰*⋻1454⫸⊐⋰*⋻4204)⪚(⋰*⋻4645⇣⩺⋵⋰*⋻1641))=⋰*⋻19704","reverse_text":"⋰*⋻19704=(⋰*⋻2343⫯⪬∳⋰*⋻128A∇⊂⋱⋰*⋻3A69⫘⋰*⋻339A≬⇓(⋰*⋻3100∕⩚⋰*⋻1A62)⊹∫⫚⋰*⋻4803⨟⋌⩍⋰*⋻1A87)⨪↰⇹((⋰*⋻4777≬⇓⋰*⋻1466)≝⊿(⋰*⋻4727∖⋰*⋻4481)⫰⋱(⋰*⋻1454⫸⊐⋰*⋻4204)⪚(⋰*⋻4645⇣⩺⋵⋰*⋻1641))","cot":[{"info":"⋰*⋻2343⫯⪬∳⋰*⋻128A=⋰*⋻A345","layer":3},{"info":"⋰*⋻3A69⫘⋰*⋻339A=⋰*⋻3562737","layer":3},{"info":"⋰*⋻A345∇⊂⋱⋰*⋻3562737=⋰*⋻19233","layer":2},{"info":"⋰*⋻3100∕⩚⋰*⋻1A62=⋰*⋻-3103","layer":3},{"info":"⋰*⋻4803⨟⋌⩍⋰*⋻1A87=NaN","layer":3},{"info":"⋰*⋻-3103⊹∫⫚NaN=NaN","layer":2},{"info":"⋰*⋻19233≬⇓NaN=⋰*⋻-19704","layer":1},{"info":"⋰*⋻4777≬⇓⋰*⋻1466=⋰*⋻-20","layer":3},{"info":"⋰*⋻4727∖⋰*⋻4481=⋰*⋻0","layer":3},{"info":"⋰*⋻-20≝⊿⋰*⋻0=⋰*⋻-425","layer":2},{"info":"⋰*⋻1454⫸⊐⋰*⋻4204=⋰*⋻15711","layer":3},{"info":"⋰*⋻4645⇣⩺⋵⋰*⋻1641=⋰*⋻-217","layer":3},{"info":"⋰*⋻15711⪚⋰*⋻-217=⋰*⋻30461","layer":2},{"info":"⋰*⋻-425⫰⋱⋰*⋻30461=⋰*⋻455","layer":1},{"info":"⋰*⋻-19704⨪↰⇹⋰*⋻455=⋰*⋻19704","layer":0}]}
{"id":480,"expression_no_base_symbol":"↔(⋗⩬⋾($1415$⇼⇔∾$2081$))⨐(⫓⪴(≯$5764$))","expression":"↔(⋗⩬⋾(⋰*⋻1077⇼⇔∾⋰*⋻1622))⨐(⫓⪴(≯⋰*⋻4370))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26,"operation_count":6,"complexity_ratio":4.333333333333333,"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":1415,"base":11},"right_expr":{"type":"numeric_atoms","value":2081,"base":11}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":5764,"base":11}}}}},"used_operators":["ruOEQAzv1W","Noe24qw2ks","DpFCA1CohY","tifHPKVTfV","eLxqMNBOBk","keWfFq85dY"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","g55IO6H4Gj","JLbD19bQDL"],"result":"⋰*⋻-2885","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1415","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=2081, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=666","layer":3},{"info":"compute unary expreesion, input=666, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-1998","layer":2},{"info":"number node, value=5764","layer":4},{"info":"compute unary expreesion, input=5764, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', 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=-1998, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=3996","layer":1},{"info":"compute unary expreesion, input=3996, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3723","layer":0}],"base":11,"result_base":11,"text":"↔(⋗⩬⋾(⋰*⋻1077⇼⇔∾⋰*⋻1622))⨐(⫓⪴(≯⋰*⋻4370))=⋰*⋻-2885","reverse_text":"⋰*⋻-2885=↔(⋗⩬⋾(⋰*⋻1077⇼⇔∾⋰*⋻1622))⨐(⫓⪴(≯⋰*⋻4370))","cot":[{"info":"⋰*⋻1077⇼⇔∾⋰*⋻1622=⋰*⋻556","layer":3},{"info":"⋗⩬⋾⋰*⋻556=⋰*⋻-1557","layer":2},{"info":"≯⋰*⋻4370=⋰*⋻0","layer":3},{"info":"⫓⪴⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-1557⨐⋰*⋻0=⋰*⋻3003","layer":1},{"info":"↔⋰*⋻3003=⋰*⋻-2885","layer":0}]}
{"id":481,"expression_no_base_symbol":"∓(($3214$⨽⪊≇)⇣⩺⋵$1221$⩇∃⫛$3158$⩒⫫(($2948$⪠⩆⊳)≬⋮$3346$⊢$2305$))","expression":"∓((⋰*⋻2462⨽⪊≇)⇣⩺⋵⋰*⋻A10⩇∃⫛⋰*⋻2411⩒⫫((⋰*⋻2240⪠⩆⊳)≬⋮⋰*⋻2572⊢⋰*⋻1806))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":167,"operation_count":8,"complexity_ratio":20.875,"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":3214,"base":11}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1221,"base":11},"right_expr":{"type":"numeric_atoms","value":3158,"base":11}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2948,"base":11}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3346,"base":11},"right_expr":{"type":"numeric_atoms","value":2305,"base":11}}}}},"used_operators":["OwUj7dcsQK","KFSx94NKJn","F4yD0voBRQ","nlCqmYiOvY","1aApVXNlOP","kbkesczE7y","JLbD19bQDL","5twsqlHp2o"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⋰*⋻10467","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3214","layer":4},{"info":"compute unary expreesion, input=3214, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=5902","layer":3},{"info":"number node, value=1221","layer":4},{"info":"number node, value=3158","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=3158, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2410","layer":3},{"info":"compute binary expreesion, left_input=5902, right_input=2410, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=2948","layer":4},{"info":"compute unary expreesion, input=2948, 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=3346","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=3346, right_input=2305, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6936","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6936, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=868, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-1338","layer":1},{"info":"compute unary expreesion, input=-1338, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=15198","layer":0}],"base":11,"result_base":11,"text":"∓((⋰*⋻2462⨽⪊≇)⇣⩺⋵⋰*⋻A10⩇∃⫛⋰*⋻2411⩒⫫((⋰*⋻2240⪠⩆⊳)≬⋮⋰*⋻2572⊢⋰*⋻1806))=⋰*⋻10467","reverse_text":"⋰*⋻10467=∓((⋰*⋻2462⨽⪊≇)⇣⩺⋵⋰*⋻A10⩇∃⫛⋰*⋻2411⩒⫫((⋰*⋻2240⪠⩆⊳)≬⋮⋰*⋻2572⊢⋰*⋻1806))","cot":[{"info":"⋰*⋻2462⨽⪊≇=⋰*⋻4486","layer":3},{"info":"⋰*⋻A10⩇∃⫛⋰*⋻2411=⋰*⋻18A1","layer":3},{"info":"⋰*⋻4486⇣⩺⋵⋰*⋻18A1=⋰*⋻-217","layer":2},{"info":"⋰*⋻2240⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻2572⊢⋰*⋻1806=⋰*⋻-5236","layer":3},{"info":"⋰*⋻0≬⋮⋰*⋻-5236=⋰*⋻71A","layer":2},{"info":"⋰*⋻-217⩒⫫⋰*⋻71A=⋰*⋻-1007","layer":1},{"info":"∓⋰*⋻-1007=⋰*⋻10467","layer":0}]}
{"id":482,"expression_no_base_symbol":"⫶⊄≣((($3485$→⨶⪴$2693$)⊍)⊴($4357$≀⫉$2993$)↓($2620$⊬⨰$1188$))","expression":"⫶⊄≣(((⋰*⋻2689→⨶⪴⋰*⋻2029)⊍)⊴(⋰*⋻3301≀⫉⋰*⋻2281)↓(⋰*⋻1A72⊬⨰⋰*⋻990))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":98480,"operation_count":7,"complexity_ratio":14068.57142857143,"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":3485,"base":11},"right_expr":{"type":"numeric_atoms","value":2693,"base":11}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4357,"base":11},"right_expr":{"type":"numeric_atoms","value":2993,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2620,"base":11},"right_expr":{"type":"numeric_atoms","value":1188,"base":11}}}}},"used_operators":["wxb3vTeyAj","Nsiff2A1zJ","3nqY3DE9mg","bF6eod5Gvf","Af076pWI7l","oZj3VtZNQx","s3Fd5m9Dh2"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","8w2t5hMYqp","9FxExcQeMw","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3485","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=2693, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8079","layer":3},{"info":"compute unary expreesion, input=-8079, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-52563","layer":2},{"info":"number node, value=4357","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=4357, right_input=2993, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2620","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=1188, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6316","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=6316, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-52563, right_input=-134, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫶⊄≣(((⋰*⋻2689→⨶⪴⋰*⋻2029)⊍)⊴(⋰*⋻3301≀⫉⋰*⋻2281)↓(⋰*⋻1A72⊬⨰⋰*⋻990))=NaN","reverse_text":"NaN=⫶⊄≣(((⋰*⋻2689→⨶⪴⋰*⋻2029)⊍)⊴(⋰*⋻3301≀⫉⋰*⋻2281)↓(⋰*⋻1A72⊬⨰⋰*⋻990))","cot":[{"info":"⋰*⋻2689→⨶⪴⋰*⋻2029=⋰*⋻-6085","layer":3},{"info":"⋰*⋻-6085⊍=⋰*⋻-36545","layer":2},{"info":"⋰*⋻3301≀⫉⋰*⋻2281=⋰*⋻2136","layer":3},{"info":"⋰*⋻1A72⊬⨰⋰*⋻990=⋰*⋻4822","layer":3},{"info":"⋰*⋻2136↓⋰*⋻4822=⋰*⋻-112","layer":2},{"info":"⋰*⋻-36545⊴⋰*⋻-112=NaN","layer":1},{"info":"⫶⊄≣NaN=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"(⊄⩳↩(($2117$≀⩗∶$4591$)⩎⪣⊞))⨻⩈⩔((⪨⨬($4724$⊜))⨁⊸⫻)","expression":"(⊄⩳↩((⋰*⋻1655≀⩗∶⋰*⋻34A4)⩎⪣⊞))⨻⩈⩔((⪨⨬(⋰*⋻3605⊜))⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":211,"operation_count":7,"complexity_ratio":30.142857142857142,"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":2117,"base":11},"right_expr":{"type":"numeric_atoms","value":4591,"base":11}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":4724,"base":11}}}}},"used_operators":["nEsXyWgiOK","8w2t5hMYqp","waWucp1uQ4","8INZBEW696","glklzrTFfD","5obUd6DV38","Eev2Q7dYIw"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","rysDP5nf3Z","T2fj7uvVaJ","nlCqmYiOvY","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2117","layer":4},{"info":"number node, value=4591","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=4591, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=-12","layer":2},{"info":"compute unary expreesion, input=-12, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=36","layer":1},{"info":"number node, value=4724","layer":4},{"info":"compute unary expreesion, input=4724, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-17160","layer":3},{"info":"compute unary expreesion, input=-17160, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-1052","layer":1},{"info":"compute binary expreesion, left_input=36, right_input=-1052, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":11,"result_base":11,"text":"(⊄⩳↩((⋰*⋻1655≀⩗∶⋰*⋻34A4)⩎⪣⊞))⨻⩈⩔((⪨⨬(⋰*⋻3605⊜))⨁⊸⫻)=⋰*⋻-149","reverse_text":"⋰*⋻-149=(⊄⩳↩((⋰*⋻1655≀⩗∶⋰*⋻34A4)⩎⪣⊞))⨻⩈⩔((⪨⨬(⋰*⋻3605⊜))⨁⊸⫻)","cot":[{"info":"⋰*⋻1655≀⩗∶⋰*⋻34A4=⋰*⋻-6","layer":3},{"info":"⋰*⋻-6⩎⪣⊞=⋰*⋻-11","layer":2},{"info":"⊄⩳↩⋰*⋻-11=⋰*⋻33","layer":1},{"info":"⋰*⋻3605⊜=⋰*⋻-11990","layer":3},{"info":"⪨⨬⋰*⋻-11990=⋰*⋻-439","layer":2},{"info":"⋰*⋻-439⨁⊸⫻=⋰*⋻-877","layer":1},{"info":"⋰*⋻33⨻⩈⩔⋰*⋻-877=⋰*⋻-149","layer":0}]}
{"id":484,"expression_no_base_symbol":"((($4407$⨽⪊≇)⪨≂$6588$⩌⋺$2682$)⩧⪆($6956$∟)≌($4811$⨚⇆$3169$))↹⊜(($2153$⇂≾⫗$7422$)⫗⊷⫓(⪲⇎$2700$)⨫⇇↔($2857$⇣⩺⋵$1767$)⪔⊥($1022$⨚$5467$))","expression":"(((⋰*⋻3347⨽⪊≇)⪨≂⋰*⋻4A4A⩌⋺⋰*⋻2019)⩧⪆(⋰*⋻5254∟)≌(⋰*⋻3684⨚⇆⋰*⋻2421))↹⊜((⋰*⋻1688⇂≾⫗⋰*⋻5638)⫗⊷⫓(⪲⇎⋰*⋻2035)⨫⇇↔(⋰*⋻2168⇣⩺⋵⋰*⋻1367)⪔⊥(⋰*⋻84A⨚⋰*⋻4120))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":121601,"operation_count":15,"complexity_ratio":8106.733333333334,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":4407,"base":11}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6588,"base":11},"right_expr":{"type":"numeric_atoms","value":2682,"base":11}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":6956,"base":11}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4811,"base":11},"right_expr":{"type":"numeric_atoms","value":3169,"base":11}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2153,"base":11},"right_expr":{"type":"numeric_atoms","value":7422,"base":11}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2700,"base":11}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2857,"base":11},"right_expr":{"type":"numeric_atoms","value":1767,"base":11}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1022,"base":11},"right_expr":{"type":"numeric_atoms","value":5467,"base":11}}}}},"used_operators":["9bazX3JMtO","Ikt5ks8PT7","sdazOOVcIp","nlCqmYiOvY","g7Hmc5v1ko","lyWz822IDG","hTbEZDJLEm","lwHaAYXP2r","LXhwmt4mBO","zashukvMKz","aBQ6xLxuTc","XPYlsWDdGa","HJ9erzHUuu","F4yD0voBRQ","nREPSIbpBE"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4407","layer":4},{"info":"compute unary expreesion, input=4407, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=8288","layer":3},{"info":"number node, value=6588","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=6588, right_input=2682, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-9391","layer":3},{"info":"compute binary expreesion, left_input=8288, right_input=-9391, 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=35460","layer":2},{"info":"number node, value=6956","layer":4},{"info":"compute unary expreesion, input=6956, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=4811","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=4811, right_input=3169, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=35460, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=2153","layer":4},{"info":"number node, value=7422","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=7422, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5400","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=5400, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=2857","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=1767, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=5467, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18890","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-18890, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1059","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=1059, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3347⨽⪊≇)⪨≂⋰*⋻4A4A⩌⋺⋰*⋻2019)⩧⪆(⋰*⋻5254∟)≌(⋰*⋻3684⨚⇆⋰*⋻2421))↹⊜((⋰*⋻1688⇂≾⫗⋰*⋻5638)⫗⊷⫓(⪲⇎⋰*⋻2035)⨫⇇↔(⋰*⋻2168⇣⩺⋵⋰*⋻1367)⪔⊥(⋰*⋻84A⨚⋰*⋻4120))=NaN","reverse_text":"NaN=(((⋰*⋻3347⨽⪊≇)⪨≂⋰*⋻4A4A⩌⋺⋰*⋻2019)⩧⪆(⋰*⋻5254∟)≌(⋰*⋻3684⨚⇆⋰*⋻2421))↹⊜((⋰*⋻1688⇂≾⫗⋰*⋻5638)⫗⊷⫓(⪲⇎⋰*⋻2035)⨫⇇↔(⋰*⋻2168⇣⩺⋵⋰*⋻1367)⪔⊥(⋰*⋻84A⨚⋰*⋻4120))","cot":[{"info":"⋰*⋻3347⨽⪊≇=⋰*⋻6255","layer":3},{"info":"⋰*⋻4A4A⩌⋺⋰*⋻2019=⋰*⋻-7068","layer":3},{"info":"⋰*⋻6255⪨≂⋰*⋻-7068=⋰*⋻24707","layer":2},{"info":"⋰*⋻5254∟=⋰*⋻A3","layer":3},{"info":"⋰*⋻3684⨚⇆⋰*⋻2421=NaN","layer":3},{"info":"⋰*⋻A3≌NaN=NaN","layer":2},{"info":"⋰*⋻24707⩧⪆NaN=NaN","layer":1},{"info":"⋰*⋻1688⇂≾⫗⋰*⋻5638=⋰*⋻-565","layer":3},{"info":"⪲⇎⋰*⋻2035=⋰*⋻406A","layer":3},{"info":"⋰*⋻-565⫗⊷⫓⋰*⋻406A=⋰*⋻-112","layer":2},{"info":"⋰*⋻2168⇣⩺⋵⋰*⋻1367=⋰*⋻-217","layer":3},{"info":"⋰*⋻84A⨚⋰*⋻4120=⋰*⋻-13213","layer":3},{"info":"⋰*⋻-217⪔⊥⋰*⋻-13213=⋰*⋻883","layer":2},{"info":"⋰*⋻-112⨫⇇↔⋰*⋻883=⋰*⋻-43A","layer":1},{"info":"NaN↹⊜⋰*⋻-43A=NaN","layer":0}]}
{"id":485,"expression_no_base_symbol":"($1942$⩘$4829$⋥≓≎$4571$⇴∐$3063$)⪮%⊝(($3547$⩚⊴⇥$4027$)⪡($1042$⫌⩉⩟$2511$))⋥≓≎(⋃($4682$⨓$5506$≒∊$1567$↤⩊$1274$))","expression":"(⋰*⋻1506⩘⋰*⋻36A0⋥≓≎⋰*⋻3486⇴∐⋰*⋻2335)⪮%⊝((⋰*⋻2735⩚⊴⇥⋰*⋻3031)⪡(⋰*⋻868⫌⩉⩟⋰*⋻1983))⋥≓≎(⋃(⋰*⋻3577⨓⋰*⋻4156≒∊⋰*⋻11A5↤⩊⋰*⋻A59))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18615,"operation_count":12,"complexity_ratio":1551.25,"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":1942,"base":11},"right_expr":{"type":"numeric_atoms","value":4829,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4571,"base":11},"right_expr":{"type":"numeric_atoms","value":3063,"base":11}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3547,"base":11},"right_expr":{"type":"numeric_atoms","value":4027,"base":11}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1042,"base":11},"right_expr":{"type":"numeric_atoms","value":2511,"base":11}}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4682,"base":11},"right_expr":{"type":"numeric_atoms","value":5506,"base":11}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1567,"base":11},"right_expr":{"type":"numeric_atoms","value":1274,"base":11}}}}},"used_operators":["Qy55tPpLXF","IWmyXbctLI","cHh1gJQ2o6","HnzytWxmAO","oraRL2iQuh","NTOWxs364D","XIIwhv8d0m","3mBM5G4a3l","5KTvxBwnZo","3ViojmjbAp","13rbtpv6ld"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","g55IO6H4Gj","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1942","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=4829, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4571","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=3063, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, 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":"number node, value=3547","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=3547, right_input=4027, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7695","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=2511","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=2511, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-7695, right_input=-50, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=16358","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16358, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=4682","layer":4},{"info":"number node, value=5506","layer":4},{"info":"compute binary expreesion, left_input=4682, right_input=5506, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5509","layer":3},{"info":"number node, value=1567","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=1274, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5509, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁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":11,"result_base":11,"text":"(⋰*⋻1506⩘⋰*⋻36A0⋥≓≎⋰*⋻3486⇴∐⋰*⋻2335)⪮%⊝((⋰*⋻2735⩚⊴⇥⋰*⋻3031)⪡(⋰*⋻868⫌⩉⩟⋰*⋻1983))⋥≓≎(⋃(⋰*⋻3577⨓⋰*⋻4156≒∊⋰*⋻11A5↤⩊⋰*⋻A59))=⋰*⋻61","reverse_text":"⋰*⋻61=(⋰*⋻1506⩘⋰*⋻36A0⋥≓≎⋰*⋻3486⇴∐⋰*⋻2335)⪮%⊝((⋰*⋻2735⩚⊴⇥⋰*⋻3031)⪡(⋰*⋻868⫌⩉⩟⋰*⋻1983))⋥≓≎(⋃(⋰*⋻3577⨓⋰*⋻4156≒∊⋰*⋻11A5↤⩊⋰*⋻A59))","cot":[{"info":"⋰*⋻1506⩘⋰*⋻36A0=⋰*⋻136","layer":3},{"info":"⋰*⋻3486⇴∐⋰*⋻2335=NaN","layer":3},{"info":"⋰*⋻136⋥≓≎NaN=NaN","layer":2},{"info":"⋰*⋻2735⩚⊴⇥⋰*⋻3031=⋰*⋻-5866","layer":3},{"info":"⋰*⋻868⫌⩉⩟⋰*⋻1983=⋰*⋻-46","layer":3},{"info":"⋰*⋻-5866⪡⋰*⋻-46=⋰*⋻11321","layer":2},{"info":"NaN⪮%⊝⋰*⋻11321=NaN","layer":1},{"info":"⋰*⋻3577⨓⋰*⋻4156=⋰*⋻-4159","layer":3},{"info":"⋰*⋻11A5↤⩊⋰*⋻A59=NaN","layer":3},{"info":"⋰*⋻-4159≒∊NaN=NaN","layer":2},{"info":"⋃NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":0}]}
{"id":486,"expression_no_base_symbol":"(⩦⊞($1851$≌$7290$⫌⩉⩟$5827$⋛$1216$))⋣⋖($2311$⨻⩈⩔$5374$≦≮≮)↳∿⪆((⊊≼∋$1416$)⪇≇⋚($1005$⩵∡$5386$))","expression":"(⩦⊞(⋰*⋻1433≌⋰*⋻5528⫌⩉⩟⋰*⋻4418⋛⋰*⋻A06))⋣⋖(⋰*⋻1811⨻⩈⩔⋰*⋻4046≦≮≮)↳∿⪆((⊊≼∋⋰*⋻1078)⪇≇⋚(⋰*⋻834⩵∡⋰*⋻4057))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":713230,"operation_count":11,"complexity_ratio":64839.09090909091,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1851,"base":11},"right_expr":{"type":"numeric_atoms","value":7290,"base":11}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5827,"base":11},"right_expr":{"type":"numeric_atoms","value":1216,"base":11}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2311,"base":11},"right_expr":{"type":"numeric_atoms","value":5374,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1416,"base":11}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":5386,"base":11}}}}},"used_operators":["J0M6qkBnIM","u7fv1HBiaC","XIIwhv8d0m","lyWz822IDG","YbUVn0Rbpy","Cw4SuJJGHO","D4vGDi5EA2","nEsXyWgiOK","3sJ7IOPOlU","FWz7pXsQhA","Y7wcNGrDQJ"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","B5M0gjZbta","jCPkEVoL5K","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⋰*⋻-132","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1851","layer":4},{"info":"number node, value=7290","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=7290, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=5827","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=5827, right_input=1216, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-79749","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-79749, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-156","layer":1},{"info":"number node, value=2311","layer":4},{"info":"number node, value=5374","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=5374, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10087","layer":3},{"info":"compute unary expreesion, input=10087, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-30261","layer":2},{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=5386","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5386, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3255","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=3255, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-30261, right_input=0, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-156, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-156","layer":0}],"base":11,"result_base":11,"text":"(⩦⊞(⋰*⋻1433≌⋰*⋻5528⫌⩉⩟⋰*⋻4418⋛⋰*⋻A06))⋣⋖(⋰*⋻1811⨻⩈⩔⋰*⋻4046≦≮≮)↳∿⪆((⊊≼∋⋰*⋻1078)⪇≇⋚(⋰*⋻834⩵∡⋰*⋻4057))=⋰*⋻-132","reverse_text":"⋰*⋻-132=(⩦⊞(⋰*⋻1433≌⋰*⋻5528⫌⩉⩟⋰*⋻4418⋛⋰*⋻A06))⋣⋖(⋰*⋻1811⨻⩈⩔⋰*⋻4046≦≮≮)↳∿⪆((⊊≼∋⋰*⋻1078)⪇≇⋚(⋰*⋻834⩵∡⋰*⋻4057))","cot":[{"info":"⋰*⋻1433≌⋰*⋻5528=NaN","layer":3},{"info":"⋰*⋻4418⋛⋰*⋻A06=⋰*⋻-54A0A","layer":3},{"info":"NaN⫌⩉⩟⋰*⋻-54A0A=⋰*⋻-46","layer":2},{"info":"⩦⊞⋰*⋻-46=⋰*⋻-132","layer":1},{"info":"⋰*⋻1811⨻⩈⩔⋰*⋻4046=⋰*⋻7640","layer":3},{"info":"⋰*⋻7640≦≮≮=⋰*⋻-20810","layer":2},{"info":"⊊≼∋⋰*⋻1078=⋰*⋻-377","layer":3},{"info":"⋰*⋻834⩵∡⋰*⋻4057=⋰*⋻249A","layer":3},{"info":"⋰*⋻-377⪇≇⋚⋰*⋻249A=⋰*⋻0","layer":2},{"info":"⋰*⋻-20810↳∿⪆⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻-132⋣⋖NaN=⋰*⋻-132","layer":0}]}
{"id":487,"expression_no_base_symbol":"(⇁⨣⪵$6102$⩌⋺$4508$⊹∫⫚$8306$∌$1688$)⨿(((⪛⨧$1738$)⊀⩕)≨(↔($1612$≀⩗∶$2022$)))","expression":"(⇁⨣⪵⋰*⋻4648⩌⋺⋰*⋻3429⊹∫⫚⋰*⋻6271∌⋰*⋻12A5)⨿(((⪛⨧⋰*⋻1340)⊀⩕)≨(↔(⋰*⋻1236≀⩗∶⋰*⋻1579)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1749,"operation_count":10,"complexity_ratio":174.9,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6102,"base":11},"right_expr":{"type":"numeric_atoms","value":4508,"base":11}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":8306,"base":11},"right_expr":{"type":"numeric_atoms","value":1688,"base":11}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1738,"base":11}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1612,"base":11},"right_expr":{"type":"numeric_atoms","value":2022,"base":11}}}}},"used_operators":["abYXlopdE0","inkyxCbjAn","uWAJUKEvyW","g7Hmc5v1ko","8cLx32lpNA","0KMCeP1Jsh","r0FS3hW4cC","6NJAcO2OWT","ruOEQAzv1W","8INZBEW696"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","B5M0gjZbta","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rGHVDoGpnC","nhYeJWJD5X","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⋰*⋻100","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6102","layer":4},{"info":"number node, value=4508","layer":4},{"info":"compute binary expreesion, left_input=6102, right_input=4508, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-10731","layer":3},{"info":"number node, value=8306","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=8306, right_input=1688, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1688","layer":3},{"info":"compute binary expreesion, left_input=-10731, right_input=-1688, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-20","layer":2},{"info":"compute unary expreesion, input=-20, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"number node, value=1738","layer":4},{"info":"compute unary expreesion, input=1738, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4877","layer":3},{"info":"compute unary expreesion, input=4877, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"number node, value=1612","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=2022, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=795","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=795, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2476, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵⋰*⋻4648⩌⋺⋰*⋻3429⊹∫⫚⋰*⋻6271∌⋰*⋻12A5)⨿(((⪛⨧⋰*⋻1340)⊀⩕)≨(↔(⋰*⋻1236≀⩗∶⋰*⋻1579)))=⋰*⋻100","reverse_text":"⋰*⋻100=(⇁⨣⪵⋰*⋻4648⩌⋺⋰*⋻3429⊹∫⫚⋰*⋻6271∌⋰*⋻12A5)⨿(((⪛⨧⋰*⋻1340)⊀⩕)≨(↔(⋰*⋻1236≀⩗∶⋰*⋻1579)))","cot":[{"info":"⋰*⋻4648⩌⋺⋰*⋻3429=⋰*⋻-8076","layer":3},{"info":"⋰*⋻6271∌⋰*⋻12A5=⋰*⋻-12A5","layer":3},{"info":"⋰*⋻-8076⊹∫⫚⋰*⋻-12A5=⋰*⋻-19","layer":2},{"info":"⇁⨣⪵⋰*⋻-19=⋰*⋻0","layer":1},{"info":"⪛⨧⋰*⋻1340=⋰*⋻3734","layer":3},{"info":"⋰*⋻3734⊀⩕=⋰*⋻0","layer":2},{"info":"⋰*⋻1236≀⩗∶⋰*⋻1579=⋰*⋻-3","layer":3},{"info":"↔⋰*⋻-3=⋰*⋻663","layer":2},{"info":"⋰*⋻0≨⋰*⋻663=⋰*⋻1951","layer":1},{"info":"⋰*⋻0⨿⋰*⋻1951=⋰*⋻100","layer":0}]}
{"id":488,"expression_no_base_symbol":"($2236$∑⇟⊟$2027$↺(⇋↷$5988$)↺($3754$⊿∆)∥⊢⊲($4098$-$1714$))⫗⊷⫓(($1896$⋻⩜⩜$1226$/$2056$⪍↜⋙$2544$)⋓($5051$⪮%⊝$1255$)≦↸($1634$⨒$2478$))","expression":"(⋰*⋻1753∑⇟⊟⋰*⋻1583↺(⇋↷⋰*⋻4554)↺(⋰*⋻2903⊿∆)∥⊢⊲(⋰*⋻3096-⋰*⋻1319))⫗⊷⫓((⋰*⋻1474⋻⩜⩜⋰*⋻A15/⋰*⋻15AA⪍↜⋙⋰*⋻1A03)⋓(⋰*⋻3882⪮%⊝⋰*⋻A41)≦↸(⋰*⋻1256⨒⋰*⋻1953))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":104843,"operation_count":15,"complexity_ratio":6989.533333333334,"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":2236,"base":11},"right_expr":{"type":"numeric_atoms","value":2027,"base":11}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":5988,"base":11}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":3754,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4098,"base":11},"right_expr":{"type":"numeric_atoms","value":1714,"base":11}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1896,"base":11},"right_expr":{"type":"numeric_atoms","value":1226,"base":11}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2056,"base":11},"right_expr":{"type":"numeric_atoms","value":2544,"base":11}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5051,"base":11},"right_expr":{"type":"numeric_atoms","value":1255,"base":11}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1634,"base":11},"right_expr":{"type":"numeric_atoms","value":2478,"base":11}}}}},"used_operators":["zashukvMKz","7j4O788W3g","U7g4x0WXJJ","SWo3A1KBJH","v1UQAVDJRr","fv3ZujxkQL","rysDP5nf3Z","T2fj7uvVaJ","XhwjNDsVaA","oDCm7WA9JY","L05ObWFQCd","RygbFNSyEJ","IWmyXbctLI","y75s1iXyHd"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2236","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=2027, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5988","layer":4},{"info":"compute unary expreesion, input=5988, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=47904","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=47904, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=47904","layer":2},{"info":"number node, value=3754","layer":4},{"info":"compute unary expreesion, input=3754, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-7629","layer":3},{"info":"number node, value=4098","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=1714, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2384","layer":3},{"info":"compute binary expreesion, left_input=-7629, right_input=2384, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=2384","layer":2},{"info":"compute binary expreesion, left_input=47904, right_input=2384, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2384","layer":1},{"info":"number node, value=1896","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=1226, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3792","layer":3},{"info":"number node, value=2056","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=2544, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-16151","layer":3},{"info":"compute binary expreesion, left_input=3792, right_input=-16151, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=5051","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=5051, right_input=1255, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10418","layer":3},{"info":"number node, value=1634","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=2478, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-9432","layer":3},{"info":"compute binary expreesion, left_input=10418, right_input=-9432, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9737","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-9737, 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=2384, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1753∑⇟⊟⋰*⋻1583↺(⇋↷⋰*⋻4554)↺(⋰*⋻2903⊿∆)∥⊢⊲(⋰*⋻3096-⋰*⋻1319))⫗⊷⫓((⋰*⋻1474⋻⩜⩜⋰*⋻A15/⋰*⋻15AA⪍↜⋙⋰*⋻1A03)⋓(⋰*⋻3882⪮%⊝⋰*⋻A41)≦↸(⋰*⋻1256⨒⋰*⋻1953))=⋰*⋻-112","reverse_text":"⋰*⋻-112=(⋰*⋻1753∑⇟⊟⋰*⋻1583↺(⇋↷⋰*⋻4554)↺(⋰*⋻2903⊿∆)∥⊢⊲(⋰*⋻3096-⋰*⋻1319))⫗⊷⫓((⋰*⋻1474⋻⩜⩜⋰*⋻A15/⋰*⋻15AA⪍↜⋙⋰*⋻1A03)⋓(⋰*⋻3882⪮%⊝⋰*⋻A41)≦↸(⋰*⋻1256⨒⋰*⋻1953))","cot":[{"info":"⋰*⋻1753∑⇟⊟⋰*⋻1583=NaN","layer":3},{"info":"⇋↷⋰*⋻4554=⋰*⋻32A9A","layer":3},{"info":"NaN↺⋰*⋻32A9A=⋰*⋻32A9A","layer":2},{"info":"⋰*⋻2903⊿∆=⋰*⋻-5806","layer":3},{"info":"⋰*⋻3096-⋰*⋻1319=⋰*⋻1878","layer":3},{"info":"⋰*⋻-5806∥⊢⊲⋰*⋻1878=⋰*⋻1878","layer":2},{"info":"⋰*⋻32A9A↺⋰*⋻1878=⋰*⋻1878","layer":1},{"info":"⋰*⋻1474⋻⩜⩜⋰*⋻A15=⋰*⋻2938","layer":3},{"info":"⋰*⋻15AA⪍↜⋙⋰*⋻1A03=⋰*⋻-11153","layer":3},{"info":"⋰*⋻2938/⋰*⋻-11153=⋰*⋻-1","layer":2},{"info":"⋰*⋻3882⪮%⊝⋰*⋻A41=⋰*⋻7911","layer":3},{"info":"⋰*⋻1256⨒⋰*⋻1953=⋰*⋻-70A5","layer":3},{"info":"⋰*⋻7911≦↸⋰*⋻-70A5=⋰*⋻-7352","layer":2},{"info":"⋰*⋻-1⋓⋰*⋻-7352=⋰*⋻0","layer":1},{"info":"⋰*⋻1878⫗⊷⫓⋰*⋻0=⋰*⋻-112","layer":0}]}
{"id":489,"expression_no_base_symbol":"($2270$↓$6470$⨟⋌⩍$1063$≝⊿$4015$⫸⇳(↓⇌($2476$/$6533$)))⨕⋳","expression":"(⋰*⋻1784↓⋰*⋻4952⨟⋌⩍⋰*⋻887≝⊿⋰*⋻3020⫸⇳(↓⇌(⋰*⋻1951/⋰*⋻49AA)))⨕⋳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":90996,"operation_count":7,"complexity_ratio":12999.42857142857,"tree":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2270,"base":11},"right_expr":{"type":"numeric_atoms","value":6470,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1063,"base":11},"right_expr":{"type":"numeric_atoms","value":4015,"base":11}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2476,"base":11},"right_expr":{"type":"numeric_atoms","value":6533,"base":11}}}}},"used_operators":["4X4GscPmMf","gx7XJ7hdpj","rGHVDoGpnC","Af076pWI7l","OKKcZfAt5B","PxpmPgHHJV","XhwjNDsVaA"],"dependent_operators":["9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Tcnh7f0tEr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","12rbrZMWeM","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2270","layer":4},{"info":"number node, value=6470","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=6470, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=4015","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=4015, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9626","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-9626, 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=2476","layer":4},{"info":"number node, value=6533","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=6533, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1784↓⋰*⋻4952⨟⋌⩍⋰*⋻887≝⊿⋰*⋻3020⫸⇳(↓⇌(⋰*⋻1951/⋰*⋻49AA)))⨕⋳=NaN","reverse_text":"NaN=(⋰*⋻1784↓⋰*⋻4952⨟⋌⩍⋰*⋻887≝⊿⋰*⋻3020⫸⇳(↓⇌(⋰*⋻1951/⋰*⋻49AA)))⨕⋳","cot":[{"info":"⋰*⋻1784↓⋰*⋻4952=⋰*⋻-112","layer":3},{"info":"⋰*⋻887≝⊿⋰*⋻3020=⋰*⋻-7261","layer":3},{"info":"⋰*⋻-112⨟⋌⩍⋰*⋻-7261=NaN","layer":2},{"info":"⋰*⋻1951/⋰*⋻49AA=⋰*⋻0","layer":3},{"info":"↓⇌⋰*⋻0=⋰*⋻0","layer":2},{"info":"NaN⫸⇳⋰*⋻0=NaN","layer":1},{"info":"NaN⨕⋳=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"⋼∭⪍((⩰$1799$)⋕⪉⪜($3658$≁$3802$)⫰⋱(⩦⊞$2303$)⪇≇⋚$6239$∊∟⩊$6013$)","expression":"⋼∭⪍((⩰⋰*⋻1396)⋕⪉⪜(⋰*⋻2826≁⋰*⋻2947)⫰⋱(⩦⊞⋰*⋻1804)⪇≇⋚⋰*⋻4762∊∟⩊⋰*⋻4577)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":138,"operation_count":8,"complexity_ratio":17.25,"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":1799,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3658,"base":11},"right_expr":{"type":"numeric_atoms","value":3802,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2303,"base":11}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6239,"base":11},"right_expr":{"type":"numeric_atoms","value":6013,"base":11}}}}},"used_operators":["DbCuESL50I","6o9Blt3TJ6","z6LnFrNh4i","WkeUrDK8WX","8N2wDY1A35","3sJ7IOPOlU","u7fv1HBiaC","ddLRYrp01A"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⋰*⋻219","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1799","layer":4},{"info":"compute unary expreesion, input=1799, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2799","layer":3},{"info":"number node, value=3658","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=3802, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=78047","layer":3},{"info":"compute binary expreesion, left_input=-2799, right_input=78047, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=2303","layer":4},{"info":"compute unary expreesion, input=2303, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2030","layer":3},{"info":"number node, value=6239","layer":4},{"info":"number node, value=6013","layer":4},{"info":"compute binary expreesion, left_input=6239, right_input=6013, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6013","layer":3},{"info":"compute binary expreesion, left_input=-2030, right_input=6013, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-171","layer":1},{"info":"compute unary expreesion, input=-171, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=262","layer":0}],"base":11,"result_base":11,"text":"⋼∭⪍((⩰⋰*⋻1396)⋕⪉⪜(⋰*⋻2826≁⋰*⋻2947)⫰⋱(⩦⊞⋰*⋻1804)⪇≇⋚⋰*⋻4762∊∟⩊⋰*⋻4577)=⋰*⋻219","reverse_text":"⋰*⋻219=⋼∭⪍((⩰⋰*⋻1396)⋕⪉⪜(⋰*⋻2826≁⋰*⋻2947)⫰⋱(⩦⊞⋰*⋻1804)⪇≇⋚⋰*⋻4762∊∟⩊⋰*⋻4577)","cot":[{"info":"⩰⋰*⋻1396=⋰*⋻-2115","layer":3},{"info":"⋰*⋻2826≁⋰*⋻2947=⋰*⋻53702","layer":3},{"info":"⋰*⋻-2115⋕⪉⪜⋰*⋻53702=⋰*⋻176","layer":2},{"info":"⩦⊞⋰*⋻1804=⋰*⋻-1586","layer":3},{"info":"⋰*⋻4762∊∟⩊⋰*⋻4577=⋰*⋻4577","layer":3},{"info":"⋰*⋻-1586⪇≇⋚⋰*⋻4577=⋰*⋻0","layer":2},{"info":"⋰*⋻176⫰⋱⋰*⋻0=⋰*⋻-146","layer":1},{"info":"⋼∭⪍⋰*⋻-146=⋰*⋻219","layer":0}]}
{"id":491,"expression_no_base_symbol":"(⋗⩴⪓($6926$⨔⇊$3259$⊝⪿⪼$1356$∺≝⩲$7206$))↞⋁(($2763$⋭≵$7013$)⇣⩺⋵$2379$⩼⇪↪$3517$⫢⨠($4345$∲⫓$2836$)↤⩊($3914$∷$1717$))","expression":"(⋗⩴⪓(⋰*⋻5227⨔⇊⋰*⋻24A3⊝⪿⪼⋰*⋻1023∺≝⩲⋰*⋻5461))↞⋁((⋰*⋻2092⋭≵⋰*⋻52A6)⇣⩺⋵⋰*⋻1873⩼⇪↪⋰*⋻2708⫢⨠(⋰*⋻32A0∲⫓⋰*⋻2149)↤⩊(⋰*⋻2A39∷⋰*⋻1321))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":52509,"operation_count":12,"complexity_ratio":4375.75,"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":6926,"base":11},"right_expr":{"type":"numeric_atoms","value":3259,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1356,"base":11},"right_expr":{"type":"numeric_atoms","value":7206,"base":11}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2763,"base":11},"right_expr":{"type":"numeric_atoms","value":7013,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2379,"base":11},"right_expr":{"type":"numeric_atoms","value":3517,"base":11}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4345,"base":11},"right_expr":{"type":"numeric_atoms","value":2836,"base":11}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3914,"base":11},"right_expr":{"type":"numeric_atoms","value":1717,"base":11}}}}},"used_operators":["RqrPlJkxDo","nOKPl9n5zu","3Oe9XWJUTD","JclMnS0uGI","KPf6cnQVty","xlXykHWxX1","F4yD0voBRQ","jBncVCNhdl","ocnLzx9CaJ","13rbtpv6ld","i8ToyICDmI","D3AQDKkPcf"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6926","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=6926, right_input=3259, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3259","layer":3},{"info":"number node, value=1356","layer":4},{"info":"number node, value=7206","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=7206, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=3259, right_input=160, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=51891","layer":2},{"info":"compute unary expreesion, input=51891, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-50978","layer":1},{"info":"number node, value=2763","layer":4},{"info":"number node, value=7013","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=7013, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2379","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=3517, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-20644","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-20644, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=4345","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=4345, right_input=2836, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3914","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=3914, right_input=1717, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1717","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1717, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50978, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋗⩴⪓(⋰*⋻5227⨔⇊⋰*⋻24A3⊝⪿⪼⋰*⋻1023∺≝⩲⋰*⋻5461))↞⋁((⋰*⋻2092⋭≵⋰*⋻52A6)⇣⩺⋵⋰*⋻1873⩼⇪↪⋰*⋻2708⫢⨠(⋰*⋻32A0∲⫓⋰*⋻2149)↤⩊(⋰*⋻2A39∷⋰*⋻1321))=NaN","reverse_text":"NaN=(⋗⩴⪓(⋰*⋻5227⨔⇊⋰*⋻24A3⊝⪿⪼⋰*⋻1023∺≝⩲⋰*⋻5461))↞⋁((⋰*⋻2092⋭≵⋰*⋻52A6)⇣⩺⋵⋰*⋻1873⩼⇪↪⋰*⋻2708⫢⨠(⋰*⋻32A0∲⫓⋰*⋻2149)↤⩊(⋰*⋻2A39∷⋰*⋻1321))","cot":[{"info":"⋰*⋻5227⨔⇊⋰*⋻24A3=⋰*⋻24A3","layer":3},{"info":"⋰*⋻1023∺≝⩲⋰*⋻5461=⋰*⋻136","layer":3},{"info":"⋰*⋻24A3⊝⪿⪼⋰*⋻136=⋰*⋻35A94","layer":2},{"info":"⋗⩴⪓⋰*⋻35A94=⋰*⋻-35334","layer":1},{"info":"⋰*⋻2092⋭≵⋰*⋻52A6=⋰*⋻61","layer":3},{"info":"⋰*⋻1873⩼⇪↪⋰*⋻2708=⋰*⋻-14568","layer":3},{"info":"⋰*⋻61⇣⩺⋵⋰*⋻-14568=⋰*⋻-217","layer":2},{"info":"⋰*⋻32A0∲⫓⋰*⋻2149=⋰*⋻0","layer":3},{"info":"⋰*⋻2A39∷⋰*⋻1321=⋰*⋻1321","layer":3},{"info":"⋰*⋻0↤⩊⋰*⋻1321=NaN","layer":2},{"info":"⋰*⋻-217⫢⨠NaN=NaN","layer":1},{"info":"⋰*⋻-35334↞⋁NaN=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"(∑⇻≧($3599$⩷∴$1220$)≌($2339$⊭↱$3574$))⩍⋽⫝̸((⪲⇎$1287$⪢$1772$)⩘((⩎⋉$3570$)∖$1000$⫳≱↱$2665$))","expression":"(∑⇻≧(⋰*⋻2782⩷∴⋰*⋻A0A)≌(⋰*⋻1837⊭↱⋰*⋻275A))⩍⋽⫝̸((⪲⇎⋰*⋻A70⪢⋰*⋻1371)⩘((⩎⋉⋰*⋻2756)∖⋰*⋻82A⫳≱↱⋰*⋻2003))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5032,"operation_count":11,"complexity_ratio":457.45454545454544,"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":3599,"base":11},"right_expr":{"type":"numeric_atoms","value":1220,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2339,"base":11},"right_expr":{"type":"numeric_atoms","value":3574,"base":11}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1287,"base":11},"right_expr":{"type":"numeric_atoms","value":1772,"base":11}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":3570,"base":11}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":2665,"base":11}}}}},"used_operators":["BiWNJpBvwn","l1M9WJ3V7u","lyWz822IDG","9FxExcQeMw","COABgblf1C","cHh1gJQ2o6","XPYlsWDdGa","dWAJyo7jo9","tXD093vOjl","FlXk3pOYe8","ZvLB05nZmT"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⋰*⋻-306","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3599","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=1220, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4726","layer":3},{"info":"number node, value=2339","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=2339, right_input=3574, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2475","layer":3},{"info":"compute binary expreesion, left_input=4726, right_input=2475, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=1287","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=1772, 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":"number node, value=3570","layer":4},{"info":"compute unary expreesion, input=3570, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2665, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-204, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=160, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-369","layer":0}],"base":11,"result_base":11,"text":"(∑⇻≧(⋰*⋻2782⩷∴⋰*⋻A0A)≌(⋰*⋻1837⊭↱⋰*⋻275A))⩍⋽⫝̸((⪲⇎⋰*⋻A70⪢⋰*⋻1371)⩘((⩎⋉⋰*⋻2756)∖⋰*⋻82A⫳≱↱⋰*⋻2003))=⋰*⋻-306","reverse_text":"⋰*⋻-306=(∑⇻≧(⋰*⋻2782⩷∴⋰*⋻A0A)≌(⋰*⋻1837⊭↱⋰*⋻275A))⩍⋽⫝̸((⪲⇎⋰*⋻A70⪢⋰*⋻1371)⩘((⩎⋉⋰*⋻2756)∖⋰*⋻82A⫳≱↱⋰*⋻2003))","cot":[{"info":"⋰*⋻2782⩷∴⋰*⋻A0A=⋰*⋻3607","layer":3},{"info":"⋰*⋻1837⊭↱⋰*⋻275A=⋰*⋻1950","layer":3},{"info":"⋰*⋻3607≌⋰*⋻1950=NaN","layer":2},{"info":"∑⇻≧NaN=⋰*⋻-705","layer":1},{"info":"⋰*⋻A70⪢⋰*⋻1371=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⩎⋉⋰*⋻2756=⋰*⋻1270","layer":3},{"info":"⋰*⋻82A⫳≱↱⋰*⋻2003=⋰*⋻-176","layer":3},{"info":"⋰*⋻1270∖⋰*⋻-176=⋰*⋻0","layer":2},{"info":"NaN⩘⋰*⋻0=⋰*⋻136","layer":1},{"info":"⋰*⋻-705⩍⋽⫝̸⋰*⋻136=⋰*⋻-306","layer":0}]}
{"id":493,"expression_no_base_symbol":"(≉(⨩∲⋌$1732$≁$1399$))+⪬∐(⨂⪏⇭(⪝⪂⫅$2984$)⨔⇊($2643$∖$1024$))","expression":"(≉(⨩∲⋌⋰*⋻1335≁⋰*⋻1062))+⪬∐(⨂⪏⇭(⪝⪂⫅⋰*⋻2273)⨔⇊(⋰*⋻1A93∖⋰*⋻851))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":510,"operation_count":8,"complexity_ratio":63.75,"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":1732,"base":11},"right_expr":{"type":"numeric_atoms","value":1399,"base":11}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2984,"base":11}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2643,"base":11},"right_expr":{"type":"numeric_atoms","value":1024,"base":11}}}}},"used_operators":["2GS7woTJqF","e1ybzncUwg","aSik1wnThz","8N2wDY1A35","AYdpE9sXAk","JclMnS0uGI","XTarYq4gQB","tXD093vOjl"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⋰*⋻43115","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1732","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=1399, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=20375","layer":3},{"info":"compute unary expreesion, input=20375, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-20898","layer":2},{"info":"compute unary expreesion, input=-20898, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-20898","layer":1},{"info":"number node, value=2984","layer":4},{"info":"compute unary expreesion, input=2984, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-438648","layer":3},{"info":"number node, value=2643","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=1024, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-438648, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-979","layer":1},{"info":"compute binary expreesion, left_input=-20898, right_input=-979, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=62694","layer":0}],"base":11,"result_base":11,"text":"(≉(⨩∲⋌⋰*⋻1335≁⋰*⋻1062))+⪬∐(⨂⪏⇭(⪝⪂⫅⋰*⋻2273)⨔⇊(⋰*⋻1A93∖⋰*⋻851))=⋰*⋻43115","reverse_text":"⋰*⋻43115=(≉(⨩∲⋌⋰*⋻1335≁⋰*⋻1062))+⪬∐(⨂⪏⇭(⪝⪂⫅⋰*⋻2273)⨔⇊(⋰*⋻1A93∖⋰*⋻851))","cot":[{"info":"⋰*⋻1335≁⋰*⋻1062=⋰*⋻14343","layer":3},{"info":"⨩∲⋌⋰*⋻14343=⋰*⋻-14779","layer":2},{"info":"≉⋰*⋻-14779=⋰*⋻-14779","layer":1},{"info":"⪝⪂⫅⋰*⋻2273=⋰*⋻-27A621","layer":3},{"info":"⋰*⋻1A93∖⋰*⋻851=⋰*⋻0","layer":3},{"info":"⋰*⋻-27A621⨔⇊⋰*⋻0=⋰*⋻0","layer":2},{"info":"⨂⪏⇭⋰*⋻0=⋰*⋻-810","layer":1},{"info":"⋰*⋻-14779+⪬∐⋰*⋻-810=⋰*⋻43115","layer":0}]}
{"id":494,"expression_no_base_symbol":"((($1409$⪒$3340$)-(⩦⩻⨪$5963$))∥⊢⊲($2098$⩁⩘$5061$+⪬∐($7256$⩺⋐⫨)))⊀⩕","expression":"(((⋰*⋻1071⪒⋰*⋻2567)-(⩦⩻⨪⋰*⋻4531))∥⊢⊲(⋰*⋻1638⩁⩘⋰*⋻3891+⪬∐(⋰*⋻54A7⩺⋐⫨)))⊀⩕","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1856,"operation_count":8,"complexity_ratio":232.0,"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":1409,"base":11},"right_expr":{"type":"numeric_atoms","value":3340,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5963,"base":11}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2098,"base":11},"right_expr":{"type":"numeric_atoms","value":5061,"base":11}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":7256,"base":11}}}}},"used_operators":["r0FS3hW4cC","v1UQAVDJRr","rysDP5nf3Z","f6k1SAg4EE","2td37pGCOC","2GS7woTJqF","gub5Cegaqo","yS9ePUuUdn"],"dependent_operators":["rGHVDoGpnC","nhYeJWJD5X","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","IWmyXbctLI","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=3340, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4749","layer":3},{"info":"number node, value=5963","layer":4},{"info":"compute unary expreesion, input=5963, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5963","layer":3},{"info":"compute binary expreesion, left_input=-4749, right_input=5963, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-10712","layer":2},{"info":"number node, value=2098","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=5061, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=21192","layer":3},{"info":"number node, value=7256","layer":4},{"info":"compute unary expreesion, input=7256, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=21192, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-63576","layer":2},{"info":"compute binary expreesion, left_input=-10712, right_input=-63576, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-63576","layer":1},{"info":"compute unary expreesion, input=-63576, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1071⪒⋰*⋻2567)-(⩦⩻⨪⋰*⋻4531))∥⊢⊲(⋰*⋻1638⩁⩘⋰*⋻3891+⪬∐(⋰*⋻54A7⩺⋐⫨)))⊀⩕=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻1071⪒⋰*⋻2567)-(⩦⩻⨪⋰*⋻4531))∥⊢⊲(⋰*⋻1638⩁⩘⋰*⋻3891+⪬∐(⋰*⋻54A7⩺⋐⫨)))⊀⩕","cot":[{"info":"⋰*⋻1071⪒⋰*⋻2567=⋰*⋻-3628","layer":3},{"info":"⩦⩻⨪⋰*⋻4531=⋰*⋻4531","layer":3},{"info":"⋰*⋻-3628-⋰*⋻4531=⋰*⋻-8059","layer":2},{"info":"⋰*⋻1638⩁⩘⋰*⋻3891=⋰*⋻14A16","layer":3},{"info":"⋰*⋻54A7⩺⋐⫨=⋰*⋻0","layer":3},{"info":"⋰*⋻14A16+⪬∐⋰*⋻0=⋰*⋻-43847","layer":2},{"info":"⋰*⋻-8059∥⊢⊲⋰*⋻-43847=⋰*⋻-43847","layer":1},{"info":"⋰*⋻-43847⊀⩕=⋰*⋻0","layer":0}]}
{"id":495,"expression_no_base_symbol":"(($2384$⨿$1548$)⊴⇁⪶)⋛($2029$⊭↱$5094$⪒$6478$⇡⇂$1525$)⩷∴(($1965$+$3322$)≌($1273$⫸⇳$1897$)⩚⊴⇥(⊵⊁($1141$⋝⋈⪟$1366$)))","expression":"((⋰*⋻1878⨿⋰*⋻1188)⊴⇁⪶)⋛(⋰*⋻1585⊭↱⋰*⋻3911⪒⋰*⋻495A⇡⇂⋰*⋻1167)⩷∴((⋰*⋻1527+⋰*⋻2550)≌(⋰*⋻A58⫸⇳⋰*⋻1475)⩚⊴⇥(⊵⊁(⋰*⋻948⋝⋈⪟⋰*⋻1032)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10578,"operation_count":13,"complexity_ratio":813.6923076923077,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2384,"base":11},"right_expr":{"type":"numeric_atoms","value":1548,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2029,"base":11},"right_expr":{"type":"numeric_atoms","value":5094,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":6478,"base":11},"right_expr":{"type":"numeric_atoms","value":1525,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1965,"base":11},"right_expr":{"type":"numeric_atoms","value":3322,"base":11}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1273,"base":11},"right_expr":{"type":"numeric_atoms","value":1897,"base":11}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1141,"base":11},"right_expr":{"type":"numeric_atoms","value":1366,"base":11}}}}},"used_operators":["9FxExcQeMw","YbUVn0Rbpy","oo9mF6JIpo","abYXlopdE0","f6k1SAg4EE","COABgblf1C","UMwdvZNt44","NTOWxs364D","lyWz822IDG","W4YGzv6Whe","gx7XJ7hdpj","AvED76WdY7","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2384","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=1548, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=-13420","layer":2},{"info":"number node, value=2029","layer":4},{"info":"number node, value=5094","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=5094, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6135","layer":3},{"info":"number node, value=6478","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=6478, right_input=1525, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6135, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13420, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"number node, value=1965","layer":4},{"info":"number node, value=3322","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=3322, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5287","layer":3},{"info":"number node, value=1273","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=1897, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5287, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":2},{"info":"number node, value=1141","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=1366, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1141","layer":3},{"info":"compute unary expreesion, input=1141, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=5776","layer":2},{"info":"compute binary expreesion, left_input=9080, right_input=5776, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14977","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14977, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1878⨿⋰*⋻1188)⊴⇁⪶)⋛(⋰*⋻1585⊭↱⋰*⋻3911⪒⋰*⋻495A⇡⇂⋰*⋻1167)⩷∴((⋰*⋻1527+⋰*⋻2550)≌(⋰*⋻A58⫸⇳⋰*⋻1475)⩚⊴⇥(⊵⊁(⋰*⋻948⋝⋈⪟⋰*⋻1032)))=NaN","reverse_text":"NaN=((⋰*⋻1878⨿⋰*⋻1188)⊴⇁⪶)⋛(⋰*⋻1585⊭↱⋰*⋻3911⪒⋰*⋻495A⇡⇂⋰*⋻1167)⩷∴((⋰*⋻1527+⋰*⋻2550)≌(⋰*⋻A58⫸⇳⋰*⋻1475)⩚⊴⇥(⊵⊁(⋰*⋻948⋝⋈⪟⋰*⋻1032)))","cot":[{"info":"⋰*⋻1878⨿⋰*⋻1188=⋰*⋻-270","layer":3},{"info":"⋰*⋻-270⊴⇁⪶=⋰*⋻-A0A0","layer":2},{"info":"⋰*⋻1585⊭↱⋰*⋻3911=⋰*⋻4678","layer":3},{"info":"⋰*⋻495A⇡⇂⋰*⋻1167=NaN","layer":3},{"info":"⋰*⋻4678⪒NaN=NaN","layer":2},{"info":"⋰*⋻-A0A0⋛NaN=NaN","layer":1},{"info":"⋰*⋻1527+⋰*⋻2550=⋰*⋻3A77","layer":3},{"info":"⋰*⋻A58⫸⇳⋰*⋻1475=⋰*⋻0","layer":3},{"info":"⋰*⋻3A77≌⋰*⋻0=⋰*⋻6905","layer":2},{"info":"⋰*⋻948⋝⋈⪟⋰*⋻1032=⋰*⋻948","layer":3},{"info":"⊵⊁⋰*⋻948=⋰*⋻4381","layer":2},{"info":"⋰*⋻6905⩚⊴⇥⋰*⋻4381=⋰*⋻-10286","layer":1},{"info":"NaN⩷∴⋰*⋻-10286=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"⫯($3199$⊲⩕⊾$2729$⨫⇇↔$5557$⨿$4256$⩹($4408$⊝⪿⪼$4142$)⪟⇏($1071$⊱⇼⊻$7619$))","expression":"⫯(⋰*⋻2449⊲⩕⊾⋰*⋻2061⨫⇇↔⋰*⋻41A2⨿⋰*⋻321A⩹(⋰*⋻3348⊝⪿⪼⋰*⋻3126)⪟⇏(⋰*⋻894⊱⇼⊻⋰*⋻57A7))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":378,"operation_count":8,"complexity_ratio":47.25,"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":3199,"base":11},"right_expr":{"type":"numeric_atoms","value":2729,"base":11}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5557,"base":11},"right_expr":{"type":"numeric_atoms","value":4256,"base":11}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4408,"base":11},"right_expr":{"type":"numeric_atoms","value":4142,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":7619,"base":11}}}}},"used_operators":["H6BK1Evt7c","2Wsdkap16l","LXhwmt4mBO","DmTXOeWf9t","abYXlopdE0","GODebY97qR","3Oe9XWJUTD","FyVja0WsTP"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⋰*⋻A5A5","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3199","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=3199, right_input=2729, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-75104","layer":3},{"info":"number node, value=5557","layer":4},{"info":"number node, value=4256","layer":4},{"info":"compute binary expreesion, left_input=5557, right_input=4256, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-75104, right_input=-319, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=4408","layer":4},{"info":"number node, value=4142","layer":4},{"info":"compute binary expreesion, left_input=4408, right_input=4142, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=58864","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=7619","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=7619, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=58864, right_input=434, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-1, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-3","layer":1},{"info":"compute unary expreesion, input=-3, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=14030","layer":0}],"base":11,"result_base":11,"text":"⫯(⋰*⋻2449⊲⩕⊾⋰*⋻2061⨫⇇↔⋰*⋻41A2⨿⋰*⋻321A⩹(⋰*⋻3348⊝⪿⪼⋰*⋻3126)⪟⇏(⋰*⋻894⊱⇼⊻⋰*⋻57A7))=⋰*⋻A5A5","reverse_text":"⋰*⋻A5A5=⫯(⋰*⋻2449⊲⩕⊾⋰*⋻2061⨫⇇↔⋰*⋻41A2⨿⋰*⋻321A⩹(⋰*⋻3348⊝⪿⪼⋰*⋻3126)⪟⇏(⋰*⋻894⊱⇼⊻⋰*⋻57A7))","cot":[{"info":"⋰*⋻2449⊲⩕⊾⋰*⋻2061=⋰*⋻-51477","layer":3},{"info":"⋰*⋻41A2⨿⋰*⋻321A=⋰*⋻-270","layer":3},{"info":"⋰*⋻-51477⨫⇇↔⋰*⋻-270=⋰*⋻-43A","layer":2},{"info":"⋰*⋻3348⊝⪿⪼⋰*⋻3126=⋰*⋻40253","layer":3},{"info":"⋰*⋻894⊱⇼⊻⋰*⋻57A7=⋰*⋻365","layer":3},{"info":"⋰*⋻40253⪟⇏⋰*⋻365=⋰*⋻-1","layer":2},{"info":"⋰*⋻-43A⩹⋰*⋻-1=⋰*⋻-3","layer":1},{"info":"⫯⋰*⋻-3=⋰*⋻A5A5","layer":0}]}
{"id":497,"expression_no_base_symbol":"(⨦⪝((⇜$3877$)≄⊠$4101$⨫⇇↔$4773$))⪭≯((⇜⊴$3562$)∴($2928$⋳⪒$1257$)⪁($2702$⫢⨠$4983$)⊬⨰$1719$⪎↠$3473$)","expression":"(⨦⪝((⇜⋰*⋻2A05)≄⊠⋰*⋻3099⨫⇇↔⋰*⋻364A))⪭≯((⇜⊴⋰*⋻2749)∴(⋰*⋻2222⋳⪒⋰*⋻A43)⪁(⋰*⋻2037⫢⨠⋰*⋻3820)⊬⨰⋰*⋻1323⪎↠⋰*⋻2678)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6429,"operation_count":12,"complexity_ratio":535.75,"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":3877,"base":11}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4101,"base":11},"right_expr":{"type":"numeric_atoms","value":4773,"base":11}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3562,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2928,"base":11},"right_expr":{"type":"numeric_atoms","value":1257,"base":11}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2702,"base":11},"right_expr":{"type":"numeric_atoms","value":4983,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1719,"base":11},"right_expr":{"type":"numeric_atoms","value":3473,"base":11}}}}},"used_operators":["XAx5wpdLa6","SUjycxNXIR","vXNesLlMH1","lFBm8KRb8F","LXhwmt4mBO","I7sXao9hZE","hrf7POJlIJ","XwDhCwWbUn","12rbrZMWeM","s3Fd5m9Dh2","xlXykHWxX1","3tVxb0NHM4"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3877","layer":4},{"info":"compute unary expreesion, input=3877, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-31424","layer":3},{"info":"number node, value=4101","layer":4},{"info":"number node, value=4773","layer":4},{"info":"compute binary expreesion, left_input=4101, right_input=4773, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-31424, right_input=-527, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute unary expreesion, input=1500, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"number node, value=3562","layer":4},{"info":"compute unary expreesion, input=3562, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-826918","layer":3},{"info":"number node, value=2928","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=1257, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4312","layer":3},{"info":"compute binary expreesion, left_input=-826918, right_input=4312, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-1652188","layer":2},{"info":"number node, value=2702","layer":4},{"info":"number node, value=4983","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=4983, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1719","layer":4},{"info":"number node, value=3473","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=3473, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=960","layer":2},{"info":"compute binary expreesion, left_input=-1652188, right_input=960, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨦⪝((⇜⋰*⋻2A05)≄⊠⋰*⋻3099⨫⇇↔⋰*⋻364A))⪭≯((⇜⊴⋰*⋻2749)∴(⋰*⋻2222⋳⪒⋰*⋻A43)⪁(⋰*⋻2037⫢⨠⋰*⋻3820)⊬⨰⋰*⋻1323⪎↠⋰*⋻2678)=NaN","reverse_text":"NaN=(⨦⪝((⇜⋰*⋻2A05)≄⊠⋰*⋻3099⨫⇇↔⋰*⋻364A))⪭≯((⇜⊴⋰*⋻2749)∴(⋰*⋻2222⋳⪒⋰*⋻A43)⪁(⋰*⋻2037⫢⨠⋰*⋻3820)⊬⨰⋰*⋻1323⪎↠⋰*⋻2678)","cot":[{"info":"⇜⋰*⋻2A05=⋰*⋻-21678","layer":3},{"info":"⋰*⋻3099⨫⇇↔⋰*⋻364A=⋰*⋻-43A","layer":3},{"info":"⋰*⋻-21678≄⊠⋰*⋻-43A=⋰*⋻1144","layer":2},{"info":"⨦⪝⋰*⋻1144=⋰*⋻-1463","layer":1},{"info":"⇜⊴⋰*⋻2749=⋰*⋻-515304","layer":3},{"info":"⋰*⋻2222⋳⪒⋰*⋻A43=⋰*⋻3270","layer":3},{"info":"⋰*⋻-515304∴⋰*⋻3270=⋰*⋻-A2934A","layer":2},{"info":"⋰*⋻2037⫢⨠⋰*⋻3820=⋰*⋻136","layer":3},{"info":"⋰*⋻1323⪎↠⋰*⋻2678=⋰*⋻136","layer":3},{"info":"⋰*⋻136⊬⨰⋰*⋻136=⋰*⋻7A3","layer":2},{"info":"⋰*⋻-A2934A⪁⋰*⋻7A3=NaN","layer":1},{"info":"⋰*⋻-1463⪭≯NaN=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"($2892$↤⩊$1453$⪘⫢$1070$⨚$4344$⋾⨃∁$2046$⫁$1000$⪘⫢(⊀$1692$))≚⊃≕($4043$⊉↱≁$2519$⩷∴($6850$≑≱⪘)⪒(∑⇻≧$3012$⨽$1358$))","expression":"(⋰*⋻219A↤⩊⋰*⋻1101⪘⫢⋰*⋻893⨚⋰*⋻329A⋾⨃∁⋰*⋻15A0⫁⋰*⋻82A⪘⫢(⊀⋰*⋻12A9))≚⊃≕(⋰*⋻3046⊉↱≁⋰*⋻1990⩷∴(⋰*⋻5168≑≱⪘)⪒(∑⇻≧⋰*⋻2299⨽⋰*⋻1025))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3745,"operation_count":14,"complexity_ratio":267.5,"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":2892,"base":11},"right_expr":{"type":"numeric_atoms","value":1453,"base":11}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1070,"base":11},"right_expr":{"type":"numeric_atoms","value":4344,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2046,"base":11},"right_expr":{"type":"numeric_atoms","value":1000,"base":11}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1692,"base":11}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4043,"base":11},"right_expr":{"type":"numeric_atoms","value":2519,"base":11}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":6850,"base":11}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3012,"base":11},"right_expr":{"type":"numeric_atoms","value":1358,"base":11}}}}},"used_operators":["Bmrmz2XGnR","212REbPD9h","oacrs7FA3X","13rbtpv6ld","nREPSIbpBE","0ajvFaJAv0","oPMjh9089D","f6k1SAg4EE","9FxExcQeMw","w2P8NbNXyL","tGSeddj7UK","l1M9WJ3V7u","8HhzD0ZcuI"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","BjRHVeLaeN","12rbrZMWeM","cHh1gJQ2o6","AHs5Up7iyr","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⋰*⋻-27591707","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2892","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=2892, right_input=1453, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=4344","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=4344, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-14302","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14302, 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=2046","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=1000, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1692","layer":4},{"info":"compute unary expreesion, input=1692, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6506","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6506, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=196","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=381714","layer":1},{"info":"number node, value=4043","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=4043, right_input=2519, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=25264","layer":3},{"info":"number node, value=6850","layer":4},{"info":"compute unary expreesion, input=6850, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=174465","layer":3},{"info":"compute binary expreesion, left_input=25264, right_input=174465, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-298434","layer":2},{"info":"number node, value=3012","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=1358, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27219192","layer":3},{"info":"compute unary expreesion, input=-27219192, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=27219018","layer":2},{"info":"compute binary expreesion, left_input=-298434, right_input=27219018, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-26920584","layer":1},{"info":"compute binary expreesion, left_input=381714, right_input=-26920584, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-52314478","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻219A↤⩊⋰*⋻1101⪘⫢⋰*⋻893⨚⋰*⋻329A⋾⨃∁⋰*⋻15A0⫁⋰*⋻82A⪘⫢(⊀⋰*⋻12A9))≚⊃≕(⋰*⋻3046⊉↱≁⋰*⋻1990⩷∴(⋰*⋻5168≑≱⪘)⪒(∑⇻≧⋰*⋻2299⨽⋰*⋻1025))=⋰*⋻-27591707","reverse_text":"⋰*⋻-27591707=(⋰*⋻219A↤⩊⋰*⋻1101⪘⫢⋰*⋻893⨚⋰*⋻329A⋾⨃∁⋰*⋻15A0⫁⋰*⋻82A⪘⫢(⊀⋰*⋻12A9))≚⊃≕(⋰*⋻3046⊉↱≁⋰*⋻1990⩷∴(⋰*⋻5168≑≱⪘)⪒(∑⇻≧⋰*⋻2299⨽⋰*⋻1025))","cot":[{"info":"⋰*⋻219A↤⩊⋰*⋻1101=NaN","layer":3},{"info":"⋰*⋻893⨚⋰*⋻329A=⋰*⋻-A822","layer":3},{"info":"NaN⪘⫢⋰*⋻-A822=NaN","layer":2},{"info":"⋰*⋻15A0⫁⋰*⋻82A=⋰*⋻136","layer":3},{"info":"⊀⋰*⋻12A9=⋰*⋻4985","layer":3},{"info":"⋰*⋻136⪘⫢⋰*⋻4985=⋰*⋻169","layer":2},{"info":"NaN⋾⨃∁⋰*⋻169=⋰*⋻240873","layer":1},{"info":"⋰*⋻3046⊉↱≁⋰*⋻1990=⋰*⋻17A88","layer":3},{"info":"⋰*⋻5168≑≱⪘=⋰*⋻10A095","layer":3},{"info":"⋰*⋻17A88⩷∴⋰*⋻10A095=⋰*⋻-194244","layer":2},{"info":"⋰*⋻2299⨽⋰*⋻1025=⋰*⋻-14401200","layer":3},{"info":"∑⇻≧⋰*⋻-14401200=⋰*⋻14401062","layer":2},{"info":"⋰*⋻-194244⪒⋰*⋻14401062=⋰*⋻-14217919","layer":1},{"info":"⋰*⋻240873≚⊃≕⋰*⋻-14217919=⋰*⋻-27591707","layer":0}]}
{"id":499,"expression_no_base_symbol":"⇖($3766$⨚$7369$⋭≵($6430$⫚↹⊑$4894$)∽($1560$∘$1115$∕⩚(≅≯⇸$1537$)))","expression":"⇖(⋰*⋻2914⨚⋰*⋻559A⋭≵(⋰*⋻4916⫚↹⊑⋰*⋻374A)∽(⋰*⋻1199∘⋰*⋻924∕⩚(≅≯⇸⋰*⋻1178)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3235,"operation_count":8,"complexity_ratio":404.375,"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":3766,"base":11},"right_expr":{"type":"numeric_atoms","value":7369,"base":11}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6430,"base":11},"right_expr":{"type":"numeric_atoms","value":4894,"base":11}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1560,"base":11},"right_expr":{"type":"numeric_atoms","value":1115,"base":11}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1537,"base":11}}}}},"used_operators":["tfWHHpNKUN","y4ImoPnbV5","jBncVCNhdl","nREPSIbpBE","dfKe02y8D2","z9ffQ9n5Zr","Z5m6OM72h2","apS25hmuAe"],"dependent_operators":["2DQ55sFlQl","NTOWxs364D","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eH2TOUuTDT","rysDP5nf3Z","EBcxylXtPf","QMFrweE19q"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3766","layer":4},{"info":"number node, value=7369","layer":4},{"info":"compute binary expreesion, left_input=3766, right_input=7369, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-21010","layer":3},{"info":"number node, value=6430","layer":4},{"info":"number node, value=4894","layer":4},{"info":"compute binary expreesion, left_input=6430, right_input=4894, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-21010, right_input=-447, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1560","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=1115, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3120","layer":3},{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=13825","layer":3},{"info":"compute binary expreesion, left_input=3120, right_input=13825, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3123","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-3123, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=9212","layer":1},{"info":"compute unary expreesion, input=9212, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":11,"result_base":11,"text":"⇖(⋰*⋻2914⨚⋰*⋻559A⋭≵(⋰*⋻4916⫚↹⊑⋰*⋻374A)∽(⋰*⋻1199∘⋰*⋻924∕⩚(≅≯⇸⋰*⋻1178)))=⋰*⋻136","reverse_text":"⋰*⋻136=⇖(⋰*⋻2914⨚⋰*⋻559A⋭≵(⋰*⋻4916⫚↹⊑⋰*⋻374A)∽(⋰*⋻1199∘⋰*⋻924∕⩚(≅≯⇸⋰*⋻1178)))","cot":[{"info":"⋰*⋻2914⨚⋰*⋻559A=⋰*⋻-14870","layer":3},{"info":"⋰*⋻4916⫚↹⊑⋰*⋻374A=⋰*⋻-377","layer":3},{"info":"⋰*⋻-14870⋭≵⋰*⋻-377=⋰*⋻61","layer":2},{"info":"⋰*⋻1199∘⋰*⋻924=⋰*⋻2387","layer":3},{"info":"≅≯⇸⋰*⋻1178=⋰*⋻A429","layer":3},{"info":"⋰*⋻2387∕⩚⋰*⋻A429=⋰*⋻-238A","layer":2},{"info":"⋰*⋻61∽⋰*⋻-238A=⋰*⋻6A15","layer":1},{"info":"⇖⋰*⋻6A15=⋰*⋻136","layer":0}]}
{"id":500,"expression_no_base_symbol":"(((⇘$2306$)∙⊟(⨑⩽⪐$2125$))⨭⪣(($2389$⩧⪆$5326$)∴≳≥))⩼⇪↪(⪭⩑⪱(⇐$2716$⨥⫆$4972$))","expression":"(((⇘⋰*⋻1807)∙⊟(⨑⩽⪐⋰*⋻1662))⨭⪣((⋰*⋻1882⩧⪆⋰*⋻4002)∴≳≥))⩼⇪↪(⪭⩑⪱(⇐⋰*⋻204A⨥⫆⋰*⋻3810))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2373412,"operation_count":10,"complexity_ratio":237341.2,"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":2306,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2125,"base":11}}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2389,"base":11},"right_expr":{"type":"numeric_atoms","value":5326,"base":11}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2716,"base":11},"right_expr":{"type":"numeric_atoms","value":4972,"base":11}}}}},"used_operators":["ocnLzx9CaJ","kn8WO9XteQ","SxTAKzQCrw","MGuIdZPyUC","AF7qkfDlqP","a3N2hFLK0J","Ikt5ks8PT7","SIgE0bArFf","nmZMaaE0Q9","yXekIHxTD4"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","eewbuw0ToL","t8gj7n24qd","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⋰*⋻-28A14268","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2306","layer":4},{"info":"compute unary expreesion, input=2306, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=132742","layer":3},{"info":"number node, value=2125","layer":4},{"info":"compute unary expreesion, input=2125, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1852","layer":3},{"info":"compute binary expreesion, left_input=132742, right_input=-1852, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=1735492","layer":2},{"info":"number node, value=2389","layer":4},{"info":"number node, value=5326","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=5326, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5326","layer":3},{"info":"compute unary expreesion, input=-5326, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-21304","layer":2},{"info":"compute binary expreesion, left_input=1735492, right_input=-21304, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1734213","layer":1},{"info":"number node, value=2716","layer":4},{"info":"number node, value=4972","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=4972, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9820","layer":3},{"info":"compute unary expreesion, input=9820, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=8734","layer":2},{"info":"compute unary expreesion, input=8734, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=1734213, right_input=8320752, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-54777621","layer":0}],"base":11,"result_base":11,"text":"(((⇘⋰*⋻1807)∙⊟(⨑⩽⪐⋰*⋻1662))⨭⪣((⋰*⋻1882⩧⪆⋰*⋻4002)∴≳≥))⩼⇪↪(⪭⩑⪱(⇐⋰*⋻204A⨥⫆⋰*⋻3810))=⋰*⋻-28A14268","reverse_text":"⋰*⋻-28A14268=(((⇘⋰*⋻1807)∙⊟(⨑⩽⪐⋰*⋻1662))⨭⪣((⋰*⋻1882⩧⪆⋰*⋻4002)∴≳≥))⩼⇪↪(⪭⩑⪱(⇐⋰*⋻204A⨥⫆⋰*⋻3810))","cot":[{"info":"⇘⋰*⋻1807=⋰*⋻90805","layer":3},{"info":"⨑⩽⪐⋰*⋻1662=⋰*⋻-1434","layer":3},{"info":"⋰*⋻90805∙⊟⋰*⋻-1434=⋰*⋻A859A0","layer":2},{"info":"⋰*⋻1882⩧⪆⋰*⋻4002=⋰*⋻-4002","layer":3},{"info":"⋰*⋻-4002∴≳≥=⋰*⋻-15008","layer":2},{"info":"⋰*⋻A859A0⨭⪣⋰*⋻-15008=⋰*⋻A84A38","layer":1},{"info":"⋰*⋻204A⨥⫆⋰*⋻3810=⋰*⋻7418","layer":3},{"info":"⇐⋰*⋻7418=⋰*⋻6620","layer":2},{"info":"⪭⩑⪱⋰*⋻6620=⋰*⋻4773560","layer":1},{"info":"⋰*⋻A84A38⩼⇪↪⋰*⋻4773560=⋰*⋻-28A14268","layer":0}]}
{"id":501,"expression_no_base_symbol":"(($1365$⊨$5248$)⋝⋈⪟$2971$↼⊘⨖$1300$)⇡⇂(($6577$↬$2980$)∛($3514$⨫⇇↔$1587$))∝$1939$≌$2941$⫘($4974$⨚$8314$)∀⇚≩(⇐$1712$⫣⪄⊒$1420$)","expression":"((⋰*⋻1031⊨⋰*⋻3A41)⋝⋈⪟⋰*⋻2261↼⊘⨖⋰*⋻A82)⇡⇂((⋰*⋻4A3A↬⋰*⋻226A)∛(⋰*⋻2705⨫⇇↔⋰*⋻1213))∝⋰*⋻1503≌⋰*⋻2234⫘(⋰*⋻3812⨚⋰*⋻6279)∀⇚≩(⇐⋰*⋻1317⫣⪄⊒⋰*⋻1081)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4881,"operation_count":14,"complexity_ratio":348.64285714285717,"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":1365,"base":11},"right_expr":{"type":"numeric_atoms","value":5248,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2971,"base":11},"right_expr":{"type":"numeric_atoms","value":1300,"base":11}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6577,"base":11},"right_expr":{"type":"numeric_atoms","value":2980,"base":11}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3514,"base":11},"right_expr":{"type":"numeric_atoms","value":1587,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1939,"base":11},"right_expr":{"type":"numeric_atoms","value":2941,"base":11}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4974,"base":11},"right_expr":{"type":"numeric_atoms","value":8314,"base":11}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1712,"base":11},"right_expr":{"type":"numeric_atoms","value":1420,"base":11}}}}},"used_operators":["cTDWOvIxvz","UMwdvZNt44","2DDjHMKMc0","vg4gO5BX6G","bPywburJMS","w2537kitQq","B5M0gjZbta","LXhwmt4mBO","LRNGc0VcxI","48vC8HMD2b","lyWz822IDG","nREPSIbpBE","nmZMaaE0Q9","RabNbG55vr"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rGHVDoGpnC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","X99M06cbEe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","BjRHVeLaeN","12rbrZMWeM","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"number node, value=5248","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=5248, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6491","layer":3},{"info":"number node, value=2971","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=2971, right_input=1300, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2378","layer":3},{"info":"compute binary expreesion, left_input=6491, right_input=2378, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6491","layer":2},{"info":"number node, value=6577","layer":4},{"info":"number node, value=2980","layer":4},{"info":"compute binary expreesion, left_input=6577, right_input=2980, 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=3514","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=3514, right_input=1587, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=6491, right_input=67, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=1939","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=2941, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=4974","layer":4},{"info":"number node, value=8314","layer":4},{"info":"compute binary expreesion, left_input=4974, right_input=8314, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-22374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22374, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"number node, value=1712","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1420, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5608","layer":3},{"info":"compute unary expreesion, input=-5608, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5016, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1031⊨⋰*⋻3A41)⋝⋈⪟⋰*⋻2261↼⊘⨖⋰*⋻A82)⇡⇂((⋰*⋻4A3A↬⋰*⋻226A)∛(⋰*⋻2705⨫⇇↔⋰*⋻1213))∝⋰*⋻1503≌⋰*⋻2234⫘(⋰*⋻3812⨚⋰*⋻6279)∀⇚≩(⇐⋰*⋻1317⫣⪄⊒⋰*⋻1081)=NaN","reverse_text":"NaN=((⋰*⋻1031⊨⋰*⋻3A41)⋝⋈⪟⋰*⋻2261↼⊘⨖⋰*⋻A82)⇡⇂((⋰*⋻4A3A↬⋰*⋻226A)∛(⋰*⋻2705⨫⇇↔⋰*⋻1213))∝⋰*⋻1503≌⋰*⋻2234⫘(⋰*⋻3812⨚⋰*⋻6279)∀⇚≩(⇐⋰*⋻1317⫣⪄⊒⋰*⋻1081)","cot":[{"info":"⋰*⋻1031⊨⋰*⋻3A41=⋰*⋻4971","layer":3},{"info":"⋰*⋻2261↼⊘⨖⋰*⋻A82=⋰*⋻1872","layer":3},{"info":"⋰*⋻4971⋝⋈⪟⋰*⋻1872=⋰*⋻4971","layer":2},{"info":"⋰*⋻4A3A↬⋰*⋻226A=NaN","layer":3},{"info":"⋰*⋻2705⨫⇇↔⋰*⋻1213=⋰*⋻-43A","layer":3},{"info":"NaN∛⋰*⋻-43A=⋰*⋻61","layer":2},{"info":"⋰*⋻4971⇡⇂⋰*⋻61=NaN","layer":1},{"info":"⋰*⋻1503≌⋰*⋻2234=NaN","layer":3},{"info":"⋰*⋻3812⨚⋰*⋻6279=⋰*⋻-158A0","layer":3},{"info":"NaN⫘⋰*⋻-158A0=NaN","layer":2},{"info":"⋰*⋻1317⫣⪄⊒⋰*⋻1081=⋰*⋻-4239","layer":3},{"info":"⇐⋰*⋻-4239=⋰*⋻-3850","layer":2},{"info":"NaN∀⇚≩⋰*⋻-3850=NaN","layer":1},{"info":"NaN∝NaN=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"($7148$⨰$2158$⊠≄⫣)⇌⫙⪟($5584$⇞)⩘$1738$⪎↠$2351$⩨(⊈($3964$⪍↜⋙$3008$))≄⊠(⊀$3230$)⪔⊥($1064$⩁⩘$2917$)","expression":"(⋰*⋻5409⨰⋰*⋻1692⊠≄⫣)⇌⫙⪟(⋰*⋻4217⇞)⩘⋰*⋻1340⪎↠⋰*⋻1848⩨(⊈(⋰*⋻2A84⪍↜⋙⋰*⋻2295))≄⊠(⊀⋰*⋻2477)⪔⊥(⋰*⋻888⩁⩘⋰*⋻2212)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3888,"operation_count":13,"complexity_ratio":299.0769230769231,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7148,"base":11},"right_expr":{"type":"numeric_atoms","value":2158,"base":11}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":5584,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1738,"base":11},"right_expr":{"type":"numeric_atoms","value":2351,"base":11}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3964,"base":11},"right_expr":{"type":"numeric_atoms","value":3008,"base":11}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3230,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1064,"base":11},"right_expr":{"type":"numeric_atoms","value":2917,"base":11}}}}},"used_operators":["2DlMacCsIx","AFVx7xoS7T","DIvbN7qnHd","eewbuw0ToL","cHh1gJQ2o6","5JYyxRJd4f","3tVxb0NHM4","vXNesLlMH1","RHru8klgy8","L05ObWFQCd","HJ9erzHUuu","oPMjh9089D","gub5Cegaqo"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","12rbrZMWeM","xUOZtlo3hN","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DpFCA1CohY","IWmyXbctLI"],"result":"⋰*⋻-8153","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7148","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=7148, right_input=2158, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5000","layer":3},{"info":"compute unary expreesion, input=5000, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=5584","layer":4},{"info":"compute unary expreesion, input=5584, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=22249","layer":3},{"info":"number node, value=1738","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=2351, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=22249, right_input=160, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"number node, value=3964","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=3964, right_input=3008, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1912","layer":3},{"info":"compute unary expreesion, input=1912, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2086","layer":2},{"info":"number node, value=3230","layer":4},{"info":"compute unary expreesion, input=3230, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=12658","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=2917, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=12616","layer":3},{"info":"compute binary expreesion, left_input=12658, right_input=12616, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=25201","layer":2},{"info":"compute binary expreesion, left_input=-2086, right_input=25201, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=407884","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=407884, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-10827","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5409⨰⋰*⋻1692⊠≄⫣)⇌⫙⪟(⋰*⋻4217⇞)⩘⋰*⋻1340⪎↠⋰*⋻1848⩨(⊈(⋰*⋻2A84⪍↜⋙⋰*⋻2295))≄⊠(⊀⋰*⋻2477)⪔⊥(⋰*⋻888⩁⩘⋰*⋻2212)=⋰*⋻-8153","reverse_text":"⋰*⋻-8153=(⋰*⋻5409⨰⋰*⋻1692⊠≄⫣)⇌⫙⪟(⋰*⋻4217⇞)⩘⋰*⋻1340⪎↠⋰*⋻1848⩨(⊈(⋰*⋻2A84⪍↜⋙⋰*⋻2295))≄⊠(⊀⋰*⋻2477)⪔⊥(⋰*⋻888⩁⩘⋰*⋻2212)","cot":[{"info":"⋰*⋻5409⨰⋰*⋻1692=⋰*⋻3836","layer":3},{"info":"⋰*⋻3836⊠≄⫣=⋰*⋻0","layer":2},{"info":"⋰*⋻4217⇞=⋰*⋻15797","layer":3},{"info":"⋰*⋻1340⪎↠⋰*⋻1848=⋰*⋻136","layer":3},{"info":"⋰*⋻15797⩘⋰*⋻136=⋰*⋻136","layer":2},{"info":"⋰*⋻0⇌⫙⪟⋰*⋻136=⋰*⋻A3","layer":1},{"info":"⋰*⋻2A84⪍↜⋙⋰*⋻2295=⋰*⋻1489","layer":3},{"info":"⊈⋰*⋻1489=⋰*⋻-1627","layer":2},{"info":"⊀⋰*⋻2477=⋰*⋻9568","layer":3},{"info":"⋰*⋻888⩁⩘⋰*⋻2212=⋰*⋻952A","layer":3},{"info":"⋰*⋻9568⪔⊥⋰*⋻952A=⋰*⋻17A30","layer":2},{"info":"⋰*⋻-1627≄⊠⋰*⋻17A30=⋰*⋻2594A4","layer":1},{"info":"⋰*⋻A3⩨⋰*⋻2594A4=⋰*⋻-8153","layer":0}]}
{"id":503,"expression_no_base_symbol":"(⊈($3322$⊱⇼⊻$3001$))≦↸(($2245$⪒$2101$)⊟⇱)⫌⩉⩟((⨙⪌$1690$)⪍↜⋙$2198$↢$1071$)∣(($2147$⋓$3393$)⪮%⊝($1599$⊭↱$5609$))","expression":"(⊈(⋰*⋻2550⊱⇼⊻⋰*⋻2289))≦↸((⋰*⋻1761⪒⋰*⋻1640)⊟⇱)⫌⩉⩟((⨙⪌⋰*⋻12A7)⪍↜⋙⋰*⋻1719↢⋰*⋻894)∣((⋰*⋻1682⋓⋰*⋻2605)⪮%⊝(⋰*⋻1224⊭↱⋰*⋻423A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":68502,"operation_count":13,"complexity_ratio":5269.384615384615,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3322,"base":11},"right_expr":{"type":"numeric_atoms","value":3001,"base":11}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2245,"base":11},"right_expr":{"type":"numeric_atoms","value":2101,"base":11}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1690,"base":11}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2198,"base":11},"right_expr":{"type":"numeric_atoms","value":1071,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2147,"base":11},"right_expr":{"type":"numeric_atoms","value":3393,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1599,"base":11},"right_expr":{"type":"numeric_atoms","value":5609,"base":11}}}}},"used_operators":["XIIwhv8d0m","RygbFNSyEJ","RHru8klgy8","FyVja0WsTP","03sUfWo75k","f6k1SAg4EE","PPChnnnBFF","L05ObWFQCd","vEGLkm4Z2k","WR6HLWljOP","IWmyXbctLI","T2fj7uvVaJ","COABgblf1C"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","12rbrZMWeM","xUOZtlo3hN","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-46","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3322","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=3001, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-608","layer":2},{"info":"number node, value=2245","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=2101, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4346","layer":3},{"info":"compute unary expreesion, input=-4346, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-8376","layer":2},{"info":"compute binary expreesion, left_input=-608, right_input=-8376, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1289","layer":1},{"info":"number node, value=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=2198","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=1071, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1714","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=1714, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-8551","layer":2},{"info":"number node, value=2147","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=3393, 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=1599","layer":4},{"info":"number node, value=5609","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=5609, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8025","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8025, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute binary expreesion, left_input=-8551, right_input=316, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-8551","layer":1},{"info":"compute binary expreesion, left_input=1289, right_input=-8551, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":11,"result_base":11,"text":"(⊈(⋰*⋻2550⊱⇼⊻⋰*⋻2289))≦↸((⋰*⋻1761⪒⋰*⋻1640)⊟⇱)⫌⩉⩟((⨙⪌⋰*⋻12A7)⪍↜⋙⋰*⋻1719↢⋰*⋻894)∣((⋰*⋻1682⋓⋰*⋻2605)⪮%⊝(⋰*⋻1224⊭↱⋰*⋻423A))=⋰*⋻-46","reverse_text":"⋰*⋻-46=(⊈(⋰*⋻2550⊱⇼⊻⋰*⋻2289))≦↸((⋰*⋻1761⪒⋰*⋻1640)⊟⇱)⫌⩉⩟((⨙⪌⋰*⋻12A7)⪍↜⋙⋰*⋻1719↢⋰*⋻894)∣((⋰*⋻1682⋓⋰*⋻2605)⪮%⊝(⋰*⋻1224⊭↱⋰*⋻423A))","cot":[{"info":"⋰*⋻2550⊱⇼⊻⋰*⋻2289=⋰*⋻365","layer":3},{"info":"⊈⋰*⋻365=⋰*⋻-503","layer":2},{"info":"⋰*⋻1761⪒⋰*⋻1640=⋰*⋻-32A1","layer":3},{"info":"⋰*⋻-32A1⊟⇱=⋰*⋻-6325","layer":2},{"info":"⋰*⋻-503≦↸⋰*⋻-6325=⋰*⋻A72","layer":1},{"info":"⨙⪌⋰*⋻12A7=⋰*⋻71A","layer":3},{"info":"⋰*⋻1719↢⋰*⋻894=⋰*⋻1319","layer":3},{"info":"⋰*⋻71A⪍↜⋙⋰*⋻1319=⋰*⋻-6474","layer":2},{"info":"⋰*⋻1682⋓⋰*⋻2605=⋰*⋻0","layer":3},{"info":"⋰*⋻1224⊭↱⋰*⋻423A=⋰*⋻6036","layer":3},{"info":"⋰*⋻0⪮%⊝⋰*⋻6036=⋰*⋻268","layer":2},{"info":"⋰*⋻-6474∣⋰*⋻268=⋰*⋻-6474","layer":1},{"info":"⋰*⋻A72⫌⩉⩟⋰*⋻-6474=⋰*⋻-46","layer":0}]}
{"id":504,"expression_no_base_symbol":"($3243$∣$3171$⪨≂$5382$→⨶⪴$3684$)⫣⪄⊒(($5197$+$1270$)∓⋝($6185$≳⇉$5722$))≠≀((∂⩏⊆$1255$)⨪↰⇹$4586$⋣⋖$3424$⇆⨓≜)","expression":"(⋰*⋻2489∣⋰*⋻2423⪨≂⋰*⋻4053→⨶⪴⋰*⋻284A)⫣⪄⊒((⋰*⋻39A5+⋰*⋻A55)∓⋝(⋰*⋻4713≳⇉⋰*⋻4332))≠≀((∂⩏⊆⋰*⋻A41)⨪↰⇹⋰*⋻349A⋣⋖⋰*⋻2633⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":412482772,"operation_count":12,"complexity_ratio":34373564.333333336,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3243,"base":11},"right_expr":{"type":"numeric_atoms","value":3171,"base":11}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5382,"base":11},"right_expr":{"type":"numeric_atoms","value":3684,"base":11}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5197,"base":11},"right_expr":{"type":"numeric_atoms","value":1270,"base":11}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6185,"base":11},"right_expr":{"type":"numeric_atoms","value":5722,"base":11}}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1255,"base":11}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4586,"base":11},"right_expr":{"type":"numeric_atoms","value":3424,"base":11}}}}},"used_operators":["IwW236VD4Y","RabNbG55vr","sdazOOVcIp","PPChnnnBFF","bF6eod5Gvf","PoHhknlbAi","W4YGzv6Whe","V0kx6qeWkN","KvvgdUaMHJ","tmPS8pqC7x","8WDwsbhb0R","J0M6qkBnIM"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Uaa54Peajs","KYD54nUTWz","rJVOvQCfKK","14qkJME0vr","eLAdDNolq6","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⋰*⋻-13","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3243","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=3171, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3243","layer":3},{"info":"number node, value=5382","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=5382, right_input=3684, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11052","layer":3},{"info":"compute binary expreesion, left_input=3243, right_input=-11052, 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=28692","layer":2},{"info":"number node, value=5197","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=5197, right_input=1270, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6467","layer":3},{"info":"number node, value=6185","layer":4},{"info":"number node, value=5722","layer":4},{"info":"compute binary expreesion, left_input=6185, right_input=5722, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6467, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=28692, right_input=67, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3844","layer":3},{"info":"number node, value=4586","layer":4},{"info":"number node, value=3424","layer":4},{"info":"compute binary expreesion, left_input=4586, right_input=3424, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4586","layer":3},{"info":"compute binary expreesion, left_input=-3844, right_input=4586, 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=-3844","layer":2},{"info":"compute unary expreesion, input=-3844, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-14","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2489∣⋰*⋻2423⪨≂⋰*⋻4053→⨶⪴⋰*⋻284A)⫣⪄⊒((⋰*⋻39A5+⋰*⋻A55)∓⋝(⋰*⋻4713≳⇉⋰*⋻4332))≠≀((∂⩏⊆⋰*⋻A41)⨪↰⇹⋰*⋻349A⋣⋖⋰*⋻2633⇆⨓≜)=⋰*⋻-13","reverse_text":"⋰*⋻-13=(⋰*⋻2489∣⋰*⋻2423⪨≂⋰*⋻4053→⨶⪴⋰*⋻284A)⫣⪄⊒((⋰*⋻39A5+⋰*⋻A55)∓⋝(⋰*⋻4713≳⇉⋰*⋻4332))≠≀((∂⩏⊆⋰*⋻A41)⨪↰⇹⋰*⋻349A⋣⋖⋰*⋻2633⇆⨓≜)","cot":[{"info":"⋰*⋻2489∣⋰*⋻2423=⋰*⋻2489","layer":3},{"info":"⋰*⋻4053→⨶⪴⋰*⋻284A=⋰*⋻-8338","layer":3},{"info":"⋰*⋻2489⪨≂⋰*⋻-8338=⋰*⋻1A614","layer":2},{"info":"⋰*⋻39A5+⋰*⋻A55=⋰*⋻494A","layer":3},{"info":"⋰*⋻4713≳⇉⋰*⋻4332=NaN","layer":3},{"info":"⋰*⋻494A∓⋝NaN=⋰*⋻61","layer":2},{"info":"⋰*⋻1A614⫣⪄⊒⋰*⋻61=⋰*⋻136","layer":1},{"info":"∂⩏⊆⋰*⋻A41=⋰*⋻-2985","layer":3},{"info":"⋰*⋻349A⋣⋖⋰*⋻2633=⋰*⋻349A","layer":3},{"info":"⋰*⋻-2985⨪↰⇹⋰*⋻349A=⋰*⋻-2985","layer":2},{"info":"⋰*⋻-2985⇆⨓≜=NaN","layer":1},{"info":"⋰*⋻136≠≀NaN=⋰*⋻-13","layer":0}]}
{"id":505,"expression_no_base_symbol":"(($1404$↙$2203$)⊵↤)⋹⋡⊁(($6872$⊍⩺⋍$2846$)∥⊢⊲(↔$1954$))⊅","expression":"((⋰*⋻1067↙⋰*⋻1723)⊵↤)⋹⋡⊁((⋰*⋻5188⊍⩺⋍⋰*⋻2158)∥⊢⊲(↔⋰*⋻1517))⊅","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2582,"operation_count":7,"complexity_ratio":368.85714285714283,"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":1404,"base":11},"right_expr":{"type":"numeric_atoms","value":2203,"base":11}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":6872,"base":11},"right_expr":{"type":"numeric_atoms","value":2846,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1954,"base":11}}}}},"used_operators":["7p6YLioM7f","As8RqfVLgs","7IPrd9c3lf","yyfyN0ffXY","v1UQAVDJRr","OXDGMFPWZM","ruOEQAzv1W"],"dependent_operators":["SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","EBcxylXtPf","rGHVDoGpnC","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1404","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=2203, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6609","layer":3},{"info":"compute unary expreesion, input=-6609, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=38871","layer":2},{"info":"number node, value=6872","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=6872, right_input=2846, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1954","layer":4},{"info":"compute unary expreesion, input=1954, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1681","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1681, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-1681","layer":2},{"info":"compute binary expreesion, left_input=38871, right_input=-1681, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=310706","layer":1},{"info":"compute unary expreesion, input=310706, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1067↙⋰*⋻1723)⊵↤)⋹⋡⊁((⋰*⋻5188⊍⩺⋍⋰*⋻2158)∥⊢⊲(↔⋰*⋻1517))⊅=⋰*⋻-149","reverse_text":"⋰*⋻-149=((⋰*⋻1067↙⋰*⋻1723)⊵↤)⋹⋡⊁((⋰*⋻5188⊍⩺⋍⋰*⋻2158)∥⊢⊲(↔⋰*⋻1517))⊅","cot":[{"info":"⋰*⋻1067↙⋰*⋻1723=⋰*⋻-4A69","layer":3},{"info":"⋰*⋻-4A69⊵↤=⋰*⋻27228","layer":2},{"info":"⋰*⋻5188⊍⩺⋍⋰*⋻2158=NaN","layer":3},{"info":"↔⋰*⋻1517=⋰*⋻-1299","layer":3},{"info":"NaN∥⊢⊲⋰*⋻-1299=⋰*⋻-1299","layer":2},{"info":"⋰*⋻27228⋹⋡⊁⋰*⋻-1299=⋰*⋻1A2490","layer":1},{"info":"⋰*⋻1A2490⊅=⋰*⋻-149","layer":0}]}
{"id":506,"expression_no_base_symbol":"(($2055$⫯⪬∳$1275$)⩖⊿(⩪∧⨌$4148$)⨔≚≋($1557$⪨≂$3229$)⇡⇂($4965$⩘$2206$))⪎↠(⇙⪊($2384$∌↝$2877$⫩))","expression":"((⋰*⋻15A9⫯⪬∳⋰*⋻A5A)⩖⊿(⩪∧⨌⋰*⋻3131)⨔≚≋(⋰*⋻1196⪨≂⋰*⋻2476)⇡⇂(⋰*⋻3804⩘⋰*⋻1726))⪎↠(⇙⪊(⋰*⋻1878∌↝⋰*⋻2186⫩))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2057,"operation_count":11,"complexity_ratio":187.0,"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":2055,"base":11},"right_expr":{"type":"numeric_atoms","value":1275,"base":11}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4148,"base":11}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1557,"base":11},"right_expr":{"type":"numeric_atoms","value":3229,"base":11}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4965,"base":11},"right_expr":{"type":"numeric_atoms","value":2206,"base":11}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2384,"base":11},"right_expr":{"type":"numeric_atoms","value":2877,"base":11}}}}},"used_operators":["3tVxb0NHM4","Z57zeUYC9z","RZ5CV9rWsJ","d7ASUq0ydm","6iOiAJX1F8","UMwdvZNt44","sdazOOVcIp","cHh1gJQ2o6","pB6Fcnrjim","6aG7x05OhS","9Isq31Ruls"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","dWAJyo7jo9","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2055","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=1275, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9033","layer":3},{"info":"number node, value=4148","layer":4},{"info":"compute unary expreesion, input=4148, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=41480","layer":3},{"info":"compute binary expreesion, left_input=9033, right_input=41480, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=295626","layer":2},{"info":"number node, value=1557","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=3229, 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=-3242","layer":3},{"info":"number node, value=4965","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=4965, right_input=2206, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-3242, right_input=160, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=295626, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=2384","layer":4},{"info":"number node, value=2877","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=2877, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻15A9⫯⪬∳⋰*⋻A5A)⩖⊿(⩪∧⨌⋰*⋻3131)⨔≚≋(⋰*⋻1196⪨≂⋰*⋻2476)⇡⇂(⋰*⋻3804⩘⋰*⋻1726))⪎↠(⇙⪊(⋰*⋻1878∌↝⋰*⋻2186⫩))=NaN","reverse_text":"NaN=((⋰*⋻15A9⫯⪬∳⋰*⋻A5A)⩖⊿(⩪∧⨌⋰*⋻3131)⨔≚≋(⋰*⋻1196⪨≂⋰*⋻2476)⇡⇂(⋰*⋻3804⩘⋰*⋻1726))⪎↠(⇙⪊(⋰*⋻1878∌↝⋰*⋻2186⫩))","cot":[{"info":"⋰*⋻15A9⫯⪬∳⋰*⋻A5A=⋰*⋻6872","layer":3},{"info":"⩪∧⨌⋰*⋻3131=⋰*⋻2918A","layer":3},{"info":"⋰*⋻6872⩖⊿⋰*⋻2918A=⋰*⋻192121","layer":2},{"info":"⋰*⋻1196⪨≂⋰*⋻2476=⋰*⋻-2488","layer":3},{"info":"⋰*⋻3804⩘⋰*⋻1726=⋰*⋻136","layer":3},{"info":"⋰*⋻-2488⇡⇂⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻192121⨔≚≋NaN=NaN","layer":1},{"info":"⋰*⋻1878∌↝⋰*⋻2186=⋰*⋻0","layer":3},{"info":"⋰*⋻0⫩=⋰*⋻0","layer":2},{"info":"⇙⪊⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN⪎↠⋰*⋻0=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"(⨣⨃⇪((≇⪴$3221$)⩘($7159$⪕$5881$)))⇴∐((($6833$⪒$3612$)⨸($1266$⩍⋽⫝̸$1809$))⨎⋸⪻)","expression":"(⨣⨃⇪((≇⪴⋰*⋻2469)⩘(⋰*⋻5419⪕⋰*⋻4467)))⇴∐(((⋰*⋻5152⪒⋰*⋻2794)⨸(⋰*⋻A51⩍⋽⫝̸⋰*⋻13A5))⨎⋸⪻)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35682,"operation_count":9,"complexity_ratio":3964.6666666666665,"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":3221,"base":11}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":7159,"base":11},"right_expr":{"type":"numeric_atoms","value":5881,"base":11}}}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6833,"base":11},"right_expr":{"type":"numeric_atoms","value":3612,"base":11}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1266,"base":11},"right_expr":{"type":"numeric_atoms","value":1809,"base":11}}}}},"used_operators":["HnzytWxmAO","AcOhelriW5","cHh1gJQ2o6","zoVPnxeHJ3","umQnsF7QlU","Dk5vyLCiGd","KmoU8R5UQR","f6k1SAg4EE","BiWNJpBvwn"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","IWmyXbctLI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3221","layer":4},{"info":"compute unary expreesion, input=3221, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-8323","layer":3},{"info":"number node, value=7159","layer":4},{"info":"number node, value=5881","layer":4},{"info":"compute binary expreesion, left_input=7159, right_input=5881, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9338","layer":3},{"info":"compute binary expreesion, left_input=-8323, right_input=9338, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=6833","layer":4},{"info":"number node, value=3612","layer":4},{"info":"compute binary expreesion, left_input=6833, right_input=3612, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10445","layer":3},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1809, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=863","layer":3},{"info":"compute binary expreesion, left_input=-10445, right_input=863, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=20890","layer":2},{"info":"compute unary expreesion, input=20890, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=42096","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=42096, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨣⨃⇪((≇⪴⋰*⋻2469)⩘(⋰*⋻5419⪕⋰*⋻4467)))⇴∐(((⋰*⋻5152⪒⋰*⋻2794)⨸(⋰*⋻A51⩍⋽⫝̸⋰*⋻13A5))⨎⋸⪻)=NaN","reverse_text":"NaN=(⨣⨃⇪((≇⪴⋰*⋻2469)⩘(⋰*⋻5419⪕⋰*⋻4467)))⇴∐(((⋰*⋻5152⪒⋰*⋻2794)⨸(⋰*⋻A51⩍⋽⫝̸⋰*⋻13A5))⨎⋸⪻)","cot":[{"info":"≇⪴⋰*⋻2469=⋰*⋻-6287","layer":3},{"info":"⋰*⋻5419⪕⋰*⋻4467=⋰*⋻701A","layer":3},{"info":"⋰*⋻-6287⩘⋰*⋻701A=⋰*⋻136","layer":2},{"info":"⨣⨃⇪⋰*⋻136=⋰*⋻1068","layer":1},{"info":"⋰*⋻5152⪒⋰*⋻2794=⋰*⋻-7936","layer":3},{"info":"⋰*⋻A51⩍⋽⫝̸⋰*⋻13A5=⋰*⋻715","layer":3},{"info":"⋰*⋻-7936⨸⋰*⋻715=⋰*⋻14771","layer":2},{"info":"⋰*⋻14771⨎⋸⪻=⋰*⋻2969A","layer":1},{"info":"⋰*⋻1068⇴∐⋰*⋻2969A=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"(≘(($3470$∛≔)⩺⪪(⇠$2777$)))⋣⋖((⪫⨮⊛($1058$↦))⫔⩽⩺(↸⊣$4560$⨐$1592$))","expression":"(≘((⋰*⋻2675∛≔)⩺⪪(⇠⋰*⋻20A5)))⋣⋖((⪫⨮⊛(⋰*⋻882↦))⫔⩽⩺(↸⊣⋰*⋻3476⨐⋰*⋻1218))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":263078,"operation_count":10,"complexity_ratio":26307.8,"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":3470,"base":11}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2777,"base":11}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1058,"base":11}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4560,"base":11},"right_expr":{"type":"numeric_atoms","value":1592,"base":11}}}}},"used_operators":["J0M6qkBnIM","tcjXMdvYtA","uvdQJvN4PV","mGnSCrte3L","18saOjeKKm","i9eR4S00cU","w5FWba1tyO","fFznvYxMfW","wztAlM01eG","Noe24qw2ks"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","Tw270M8GLb","fu6greOZ01","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3470","layer":4},{"info":"compute unary expreesion, input=3470, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"number node, value=2777","layer":4},{"info":"compute unary expreesion, input=2777, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2535","layer":3},{"info":"compute binary expreesion, left_input=-inf, right_input=-2535, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":1},{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=4560","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=4560, right_input=1592, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9120","layer":3},{"info":"compute unary expreesion, input=-9120, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=18240","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18240, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≘((⋰*⋻2675∛≔)⩺⪪(⇠⋰*⋻20A5)))⋣⋖((⪫⨮⊛(⋰*⋻882↦))⫔⩽⩺(↸⊣⋰*⋻3476⨐⋰*⋻1218))=NaN","reverse_text":"NaN=(≘((⋰*⋻2675∛≔)⩺⪪(⇠⋰*⋻20A5)))⋣⋖((⪫⨮⊛(⋰*⋻882↦))⫔⩽⩺(↸⊣⋰*⋻3476⨐⋰*⋻1218))","cot":[{"info":"⋰*⋻2675∛≔=-Inf","layer":3},{"info":"⇠⋰*⋻20A5=⋰*⋻-19A5","layer":3},{"info":"-Inf⩺⪪⋰*⋻-19A5=NaN","layer":2},{"info":"≘NaN=NaN","layer":1},{"info":"⋰*⋻882↦=NaN","layer":3},{"info":"⪫⨮⊛NaN=NaN","layer":2},{"info":"⋰*⋻3476⨐⋰*⋻1218=⋰*⋻-6941","layer":3},{"info":"↸⊣⋰*⋻-6941=⋰*⋻12782","layer":2},{"info":"NaN⫔⩽⩺⋰*⋻12782=NaN","layer":1},{"info":"NaN⋣⋖NaN=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"⊤⊝($4074$⨐$4332$⊲⩕⊾$6813$∇⊂⋱$1202$)⨂≜((⊖$2198$)⩧⪆($1026$↙$4430$))","expression":"⊤⊝(⋰*⋻3074⨐⋰*⋻3289⊲⩕⊾⋰*⋻5134∇⊂⋱⋰*⋻9A3)⨂≜((⊖⋰*⋻1719)⩧⪆(⋰*⋻853↙⋰*⋻3368))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":69691,"operation_count":8,"complexity_ratio":8711.375,"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":4074,"base":11},"right_expr":{"type":"numeric_atoms","value":4332,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":6813,"base":11},"right_expr":{"type":"numeric_atoms","value":1202,"base":11}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2198,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1026,"base":11},"right_expr":{"type":"numeric_atoms","value":4430,"base":11}}}}},"used_operators":["rXAclfmB4M","k1SHOSEABc","DmTXOeWf9t","Noe24qw2ks","nhYeJWJD5X","Ikt5ks8PT7","U6pG0PXrV3","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eewbuw0ToL","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4074","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=4074, right_input=4332, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8148","layer":3},{"info":"number node, value=6813","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=6813, right_input=1202, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13080","layer":3},{"info":"compute binary expreesion, left_input=-8148, right_input=13080, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-65162","layer":2},{"info":"number node, value=2198","layer":4},{"info":"compute unary expreesion, input=2198, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=4430","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=4430, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13290","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-13290, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=13290","layer":2},{"info":"compute binary expreesion, left_input=-65162, right_input=13290, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊤⊝(⋰*⋻3074⨐⋰*⋻3289⊲⩕⊾⋰*⋻5134∇⊂⋱⋰*⋻9A3)⨂≜((⊖⋰*⋻1719)⩧⪆(⋰*⋻853↙⋰*⋻3368))=NaN","reverse_text":"NaN=⊤⊝(⋰*⋻3074⨐⋰*⋻3289⊲⩕⊾⋰*⋻5134∇⊂⋱⋰*⋻9A3)⨂≜((⊖⋰*⋻1719)⩧⪆(⋰*⋻853↙⋰*⋻3368))","cot":[{"info":"⋰*⋻3074⨐⋰*⋻3289=⋰*⋻-6138","layer":3},{"info":"⋰*⋻5134∇⊂⋱⋰*⋻9A3=⋰*⋻9911","layer":3},{"info":"⋰*⋻-6138⊲⩕⊾⋰*⋻9911=⋰*⋻-44A59","layer":2},{"info":"⊖⋰*⋻1719=⋰*⋻0","layer":3},{"info":"⋰*⋻853↙⋰*⋻3368=⋰*⋻-9A92","layer":3},{"info":"⋰*⋻0⩧⪆⋰*⋻-9A92=⋰*⋻9A92","layer":2},{"info":"⋰*⋻-44A59⨂≜⋰*⋻9A92=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"⪨⨬(($2592$⊹∫⫚$1818$)⩦(⫯$1161$)∥⊢⊲(($2638$∕⩚$1576$)≑≱⪘))","expression":"⪨⨬((⋰*⋻1A47⊹∫⫚⋰*⋻1403)⩦(⫯⋰*⋻966)∥⊢⊲((⋰*⋻1A89∕⩚⋰*⋻1203)≑≱⪘))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2889,"operation_count":7,"complexity_ratio":412.7142857142857,"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":2592,"base":11},"right_expr":{"type":"numeric_atoms","value":1818,"base":11}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1161,"base":11}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2638,"base":11},"right_expr":{"type":"numeric_atoms","value":1576,"base":11}}}}},"used_operators":["5obUd6DV38","v1UQAVDJRr","0kmYd0q39Y","uWAJUKEvyW","H6BK1Evt7c","tGSeddj7UK","z9ffQ9n5Zr"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","EBcxylXtPf","rGHVDoGpnC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2592","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=1818, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-252","layer":3},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-33974","layer":3},{"info":"compute binary expreesion, left_input=-252, right_input=-33974, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=132413","layer":2},{"info":"number node, value=2638","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=1576, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2641","layer":3},{"info":"compute unary expreesion, input=-2641, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=82017","layer":2},{"info":"compute binary expreesion, left_input=132413, right_input=82017, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪨⨬((⋰*⋻1A47⊹∫⫚⋰*⋻1403)⩦(⫯⋰*⋻966)∥⊢⊲((⋰*⋻1A89∕⩚⋰*⋻1203)≑≱⪘))=NaN","reverse_text":"NaN=⪨⨬((⋰*⋻1A47⊹∫⫚⋰*⋻1403)⩦(⫯⋰*⋻966)∥⊢⊲((⋰*⋻1A89∕⩚⋰*⋻1203)≑≱⪘))","cot":[{"info":"⋰*⋻1A47⊹∫⫚⋰*⋻1403=⋰*⋻-20A","layer":3},{"info":"⫯⋰*⋻966=⋰*⋻-23586","layer":3},{"info":"⋰*⋻-20A⩦⋰*⋻-23586=⋰*⋻90536","layer":2},{"info":"⋰*⋻1A89∕⩚⋰*⋻1203=⋰*⋻-1A91","layer":3},{"info":"⋰*⋻-1A91≑≱⪘=⋰*⋻56691","layer":2},{"info":"⋰*⋻90536∥⊢⊲⋰*⋻56691=NaN","layer":1},{"info":"⪨⨬NaN=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"((⊿$3683$)∳⫺($7323$⇀∌))⨐($2893$∌$1735$≹⇙⪍$5335$⫞⩸⩒$2426$)⩨(($2169$⪶≀⋏$3018$)⨜⨶(⊖$1119$)∲⫓$1428$⪒⊣⊆$5269$⫁⪎($1929$≄⊠$5565$))","expression":"((⊿⋰*⋻2849)∳⫺(⋰*⋻5558⇀∌))⨐(⋰*⋻21A0∌⋰*⋻1338≹⇙⪍⋰*⋻4010⫞⩸⩒⋰*⋻1906)⩨((⋰*⋻16A2⪶≀⋏⋰*⋻22A4)⨜⨶(⊖⋰*⋻928)∲⫓⋰*⋻1089⪒⊣⊆⋰*⋻3A60⫁⪎(⋰*⋻14A4≄⊠⋰*⋻41AA))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":391,"operation_count":15,"complexity_ratio":26.066666666666666,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3683,"base":11}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":7323,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2893,"base":11},"right_expr":{"type":"numeric_atoms","value":1735,"base":11}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5335,"base":11},"right_expr":{"type":"numeric_atoms","value":2426,"base":11}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2169,"base":11},"right_expr":{"type":"numeric_atoms","value":3018,"base":11}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1119,"base":11}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1428,"base":11},"right_expr":{"type":"numeric_atoms","value":5269,"base":11}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1929,"base":11},"right_expr":{"type":"numeric_atoms","value":5565,"base":11}}}}},"used_operators":["2DlMacCsIx","Noe24qw2ks","AzXXKTstlj","DO4fhlbJSI","2k53nXOpI5","AHs5Up7iyr","8cLx32lpNA","XGcMNugi78","i8ToyICDmI","HiPekx5b7W","zR4jO40bMj","U6pG0PXrV3","xRrnTEsQ6j","eRqsBgTDFp","vXNesLlMH1"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","dWAJyo7jo9","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⋰*⋻6","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3683","layer":4},{"info":"compute unary expreesion, input=3683, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-15470","layer":3},{"info":"number node, value=7323","layer":4},{"info":"compute unary expreesion, input=7323, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-15470, right_input=113, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-62044","layer":2},{"info":"number node, value=2893","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=1735, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1735","layer":3},{"info":"number node, value=5335","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=5335, right_input=2426, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2426","layer":3},{"info":"compute binary expreesion, left_input=-1735, right_input=2426, 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=-62044, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=124088","layer":1},{"info":"number node, value=2169","layer":4},{"info":"number node, value=3018","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=3018, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12775","layer":3},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12775, right_input=0, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-126967","layer":2},{"info":"number node, value=1428","layer":4},{"info":"number node, value=5269","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=5269, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2856","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=5565","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=5565, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=93708","layer":3},{"info":"compute binary expreesion, left_input=2856, right_input=93708, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-90852","layer":2},{"info":"compute binary expreesion, left_input=-126967, right_input=-90852, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-126967","layer":1},{"info":"compute binary expreesion, left_input=124088, right_input=-126967, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":0}],"base":11,"result_base":11,"text":"((⊿⋰*⋻2849)∳⫺(⋰*⋻5558⇀∌))⨐(⋰*⋻21A0∌⋰*⋻1338≹⇙⪍⋰*⋻4010⫞⩸⩒⋰*⋻1906)⩨((⋰*⋻16A2⪶≀⋏⋰*⋻22A4)⨜⨶(⊖⋰*⋻928)∲⫓⋰*⋻1089⪒⊣⊆⋰*⋻3A60⫁⪎(⋰*⋻14A4≄⊠⋰*⋻41AA))=⋰*⋻6","reverse_text":"⋰*⋻6=((⊿⋰*⋻2849)∳⫺(⋰*⋻5558⇀∌))⨐(⋰*⋻21A0∌⋰*⋻1338≹⇙⪍⋰*⋻4010⫞⩸⩒⋰*⋻1906)⩨((⋰*⋻16A2⪶≀⋏⋰*⋻22A4)⨜⨶(⊖⋰*⋻928)∲⫓⋰*⋻1089⪒⊣⊆⋰*⋻3A60⫁⪎(⋰*⋻14A4≄⊠⋰*⋻41AA))","cot":[{"info":"⊿⋰*⋻2849=⋰*⋻-10694","layer":3},{"info":"⋰*⋻5558⇀∌=⋰*⋻A3","layer":3},{"info":"⋰*⋻-10694∳⫺⋰*⋻A3=⋰*⋻-42684","layer":2},{"info":"⋰*⋻21A0∌⋰*⋻1338=⋰*⋻-1338","layer":3},{"info":"⋰*⋻4010⫞⩸⩒⋰*⋻1906=⋰*⋻1906","layer":3},{"info":"⋰*⋻-1338≹⇙⪍⋰*⋻1906=NaN","layer":2},{"info":"⋰*⋻-42684⨐NaN=⋰*⋻85258","layer":1},{"info":"⋰*⋻16A2⪶≀⋏⋰*⋻22A4=⋰*⋻-9664","layer":3},{"info":"⊖⋰*⋻928=⋰*⋻0","layer":3},{"info":"⋰*⋻-9664⨜⨶⋰*⋻0=⋰*⋻-87435","layer":2},{"info":"⋰*⋻1089⪒⊣⊆⋰*⋻3A60=⋰*⋻2167","layer":3},{"info":"⋰*⋻14A4≄⊠⋰*⋻41AA=⋰*⋻6444A","layer":3},{"info":"⋰*⋻2167⫁⪎⋰*⋻6444A=⋰*⋻-62293","layer":2},{"info":"⋰*⋻-87435∲⫓⋰*⋻-62293=⋰*⋻-87435","layer":1},{"info":"⋰*⋻85258⩨⋰*⋻-87435=⋰*⋻6","layer":0}]}
{"id":512,"expression_no_base_symbol":"(($3069$⇴∐$3835$)⨐($3903$∋$4042$)⋓(⊁⨺($4276$⫡⨏$1165$)))⇤((≻⋜($1050$⩨$8041$))∠↢(⋼∭⪍(⨵≀≌$1197$)))","expression":"((⋰*⋻2340⇴∐⋰*⋻2977)⨐(⋰*⋻2A29∋⋰*⋻3045)⋓(⊁⨺(⋰*⋻3238⫡⨏⋰*⋻96A)))⇤((≻⋜(⋰*⋻875⩨⋰*⋻6050))∠↢(⋼∭⪍(⨵≀≌⋰*⋻999)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1336,"operation_count":12,"complexity_ratio":111.33333333333333,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3069,"base":11},"right_expr":{"type":"numeric_atoms","value":3835,"base":11}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3903,"base":11},"right_expr":{"type":"numeric_atoms","value":4042,"base":11}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4276,"base":11},"right_expr":{"type":"numeric_atoms","value":1165,"base":11}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1050,"base":11},"right_expr":{"type":"numeric_atoms","value":8041,"base":11}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1197,"base":11}}}}},"used_operators":["YSKBFp38Pu","T2fj7uvVaJ","Noe24qw2ks","HnzytWxmAO","ukq6epAj5P","PxiHyQbrIp","QMFrweE19q","KbjG8mgYpV","3tj9sqzovi","2DlMacCsIx","DbCuESL50I","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3069","layer":4},{"info":"number node, value=3835","layer":4},{"info":"compute binary expreesion, left_input=3069, right_input=3835, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3903","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=4042, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=8524308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8524308, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":2},{"info":"number node, value=4276","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=4276, right_input=1165, 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=24493","layer":3},{"info":"compute unary expreesion, input=24493, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=1050","layer":4},{"info":"number node, value=8041","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=8041, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3591","layer":3},{"info":"compute unary expreesion, input=-3591, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-21444","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21444, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2340⇴∐⋰*⋻2977)⨐(⋰*⋻2A29∋⋰*⋻3045)⋓(⊁⨺(⋰*⋻3238⫡⨏⋰*⋻96A)))⇤((≻⋜(⋰*⋻875⩨⋰*⋻6050))∠↢(⋼∭⪍(⨵≀≌⋰*⋻999)))=NaN","reverse_text":"NaN=((⋰*⋻2340⇴∐⋰*⋻2977)⨐(⋰*⋻2A29∋⋰*⋻3045)⋓(⊁⨺(⋰*⋻3238⫡⨏⋰*⋻96A)))⇤((≻⋜(⋰*⋻875⩨⋰*⋻6050))∠↢(⋼∭⪍(⨵≀≌⋰*⋻999)))","cot":[{"info":"⋰*⋻2340⇴∐⋰*⋻2977=NaN","layer":3},{"info":"⋰*⋻2A29∋⋰*⋻3045=⋰*⋻48A2491","layer":3},{"info":"NaN⨐⋰*⋻48A2491=NaN","layer":2},{"info":"⋰*⋻3238⫡⨏⋰*⋻96A=⋰*⋻17447","layer":3},{"info":"⊁⨺⋰*⋻17447=⋰*⋻136","layer":2},{"info":"NaN⋓⋰*⋻136=⋰*⋻0","layer":1},{"info":"⋰*⋻875⩨⋰*⋻6050=⋰*⋻-1A","layer":3},{"info":"≻⋜⋰*⋻-1A=NaN","layer":2},{"info":"⨵≀≌⋰*⋻999=⋰*⋻-2775","layer":3},{"info":"⋼∭⪍⋰*⋻-2775=⋰*⋻-15125","layer":2},{"info":"NaN∠↢⋰*⋻-15125=NaN","layer":1},{"info":"⋰*⋻0⇤NaN=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"($2693$⫗⊷⫓$4613$⨒($2443$⋫))⋕⪉⪜($1932$↢$1024$⨴∎)⇼⇔∾(⊁⨺($4515$≧⫂∧$5303$))⨐($1753$↼⊘⨖$4905$⨎$5999$⫁$1430$)","expression":"(⋰*⋻2029⫗⊷⫓⋰*⋻3514⨒(⋰*⋻1921⋫))⋕⪉⪜(⋰*⋻14A7↢⋰*⋻851⨴∎)⇼⇔∾(⊁⨺(⋰*⋻3435≧⫂∧⋰*⋻3A91))⨐(⋰*⋻1354↼⊘⨖⋰*⋻375A⨎⋰*⋻4564⫁⋰*⋻1090)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6451,"operation_count":13,"complexity_ratio":496.2307692307692,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2693,"base":11},"right_expr":{"type":"numeric_atoms","value":4613,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2443,"base":11}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1932,"base":11},"right_expr":{"type":"numeric_atoms","value":1024,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4515,"base":11},"right_expr":{"type":"numeric_atoms","value":5303,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1753,"base":11},"right_expr":{"type":"numeric_atoms","value":4905,"base":11}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5999,"base":11},"right_expr":{"type":"numeric_atoms","value":1430,"base":11}}}}},"used_operators":["tifHPKVTfV","z6LnFrNh4i","y75s1iXyHd","zashukvMKz","JL8yIekQnl","CpSg5vQTgA","WR6HLWljOP","Noe24qw2ks","PxiHyQbrIp","Ph9nP6C5qx","rJVOvQCfKK","bPywburJMS","0ajvFaJAv0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tmPS8pqC7x","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⋰*⋻-437","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2693","layer":4},{"info":"number node, value=4613","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=4613, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2443","layer":4},{"info":"compute unary expreesion, input=2443, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2443","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=2443, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=2862864","layer":2},{"info":"number node, value=1932","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=1024, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1448","layer":3},{"info":"compute unary expreesion, input=1448, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2862864, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=4515","layer":4},{"info":"number node, value=5303","layer":4},{"info":"compute binary expreesion, left_input=4515, right_input=5303, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4830","layer":3},{"info":"compute unary expreesion, input=4830, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"number node, value=1753","layer":4},{"info":"number node, value=4905","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=4905, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9588","layer":3},{"info":"number node, value=5999","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=5999, right_input=1430, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=9588, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-320","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=-320, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-524","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2029⫗⊷⫓⋰*⋻3514⨒(⋰*⋻1921⋫))⋕⪉⪜(⋰*⋻14A7↢⋰*⋻851⨴∎)⇼⇔∾(⊁⨺(⋰*⋻3435≧⫂∧⋰*⋻3A91))⨐(⋰*⋻1354↼⊘⨖⋰*⋻375A⨎⋰*⋻4564⫁⋰*⋻1090)=⋰*⋻-437","reverse_text":"⋰*⋻-437=(⋰*⋻2029⫗⊷⫓⋰*⋻3514⨒(⋰*⋻1921⋫))⋕⪉⪜(⋰*⋻14A7↢⋰*⋻851⨴∎)⇼⇔∾(⊁⨺(⋰*⋻3435≧⫂∧⋰*⋻3A91))⨐(⋰*⋻1354↼⊘⨖⋰*⋻375A⨎⋰*⋻4564⫁⋰*⋻1090)","cot":[{"info":"⋰*⋻2029⫗⊷⫓⋰*⋻3514=⋰*⋻-112","layer":3},{"info":"⋰*⋻1921⋫=⋰*⋻1921","layer":3},{"info":"⋰*⋻-112⨒⋰*⋻1921=⋰*⋻1685A04","layer":2},{"info":"⋰*⋻14A7↢⋰*⋻851=⋰*⋻10A7","layer":3},{"info":"⋰*⋻10A7⨴∎=NaN","layer":2},{"info":"⋰*⋻1685A04⋕⪉⪜NaN=⋰*⋻176","layer":1},{"info":"⋰*⋻3435≧⫂∧⋰*⋻3A91=⋰*⋻36A1","layer":3},{"info":"⊁⨺⋰*⋻36A1=⋰*⋻136","layer":2},{"info":"⋰*⋻1354↼⊘⨖⋰*⋻375A=⋰*⋻7227","layer":3},{"info":"⋰*⋻4564⫁⋰*⋻1090=⋰*⋻136","layer":3},{"info":"⋰*⋻7227⨎⋰*⋻136=⋰*⋻136","layer":2},{"info":"⋰*⋻136⨐⋰*⋻136=⋰*⋻-271","layer":1},{"info":"⋰*⋻176⇼⇔∾⋰*⋻-271=⋰*⋻-437","layer":0}]}
{"id":514,"expression_no_base_symbol":"(⊗(($3794$⩚⊴⇥$1292$)⊝⪿⪼(≘$4598$)))⫭","expression":"(⊗((⋰*⋻293A⩚⊴⇥⋰*⋻A75)⊝⪿⪼(≘⋰*⋻3500)))⫭","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":260,"operation_count":5,"complexity_ratio":52.0,"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":3794,"base":11},"right_expr":{"type":"numeric_atoms","value":1292,"base":11}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4598,"base":11}}}}},"used_operators":["t4WUHVGj7f","RhiyfpczSx","3Oe9XWJUTD","NTOWxs364D","tcjXMdvYtA"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"⋰*⋻25A552","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3794","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=1292, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5207","layer":3},{"info":"number node, value=4598","layer":4},{"info":"compute unary expreesion, input=4598, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10139374","layer":3},{"info":"compute binary expreesion, left_input=-5207, right_input=10139374, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-68173","layer":2},{"info":"compute unary expreesion, input=-68173, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=136346","layer":1},{"info":"compute unary expreesion, input=136346, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=409279","layer":0}],"base":11,"result_base":11,"text":"(⊗((⋰*⋻293A⩚⊴⇥⋰*⋻A75)⊝⪿⪼(≘⋰*⋻3500)))⫭=⋰*⋻25A552","reverse_text":"⋰*⋻25A552=(⊗((⋰*⋻293A⩚⊴⇥⋰*⋻A75)⊝⪿⪼(≘⋰*⋻3500)))⫭","cot":[{"info":"⋰*⋻293A⩚⊴⇥⋰*⋻A75=⋰*⋻-3A04","layer":3},{"info":"≘⋰*⋻3500=⋰*⋻57A5953","layer":3},{"info":"⋰*⋻-3A04⊝⪿⪼⋰*⋻57A5953=⋰*⋻-47246","layer":2},{"info":"⊗⋰*⋻-47246=⋰*⋻93491","layer":1},{"info":"⋰*⋻93491⫭=⋰*⋻25A552","layer":0}]}
{"id":515,"expression_no_base_symbol":"(($2396$⇼⇔∾$2953$)⫗⊷⫓(⨰⫟⨤$1747$)⊝)⊭↱(($1064$⨕⋳)∖$5290$≁↽≥$1384$)⨭⪣(⫯$6826$)⊉↱≁($3232$∀⇚≩$1664$)","expression":"((⋰*⋻1889⇼⇔∾⋰*⋻2245)⫗⊷⫓(⨰⫟⨤⋰*⋻1349)⊝)⊭↱((⋰*⋻888⨕⋳)∖⋰*⋻3A7A≁↽≥⋰*⋻1049)⨭⪣(⫯⋰*⋻5146)⊉↱≁(⋰*⋻2479∀⇚≩⋰*⋻1283)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35533,"operation_count":12,"complexity_ratio":2961.0833333333335,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2396,"base":11},"right_expr":{"type":"numeric_atoms","value":2953,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1747,"base":11}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1064,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5290,"base":11},"right_expr":{"type":"numeric_atoms","value":1384,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":6826,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3232,"base":11},"right_expr":{"type":"numeric_atoms","value":1664,"base":11}}}}},"used_operators":["COABgblf1C","O6EZ0fifGK","zashukvMKz","tifHPKVTfV","Tw270M8GLb","kn8WO9XteQ","tXD093vOjl","4X4GscPmMf","ncHt1X6cMc","w2P8NbNXyL","H6BK1Evt7c","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","X99M06cbEe"],"result":"⋰*⋻1A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2396","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=2953, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=557","layer":3},{"info":"number node, value=1747","layer":4},{"info":"compute unary expreesion, input=1747, 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=557, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-134","layer":1},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=13260","layer":3},{"info":"number node, value=5290","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=5290, right_input=1384, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=75846","layer":3},{"info":"compute binary expreesion, left_input=13260, right_input=75846, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=6826","layer":4},{"info":"compute unary expreesion, input=6826, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-271904","layer":3},{"info":"number node, value=3232","layer":4},{"info":"number node, value=1664","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=1664, 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=-271904, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-21, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=231","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1889⇼⇔∾⋰*⋻2245)⫗⊷⫓(⨰⫟⨤⋰*⋻1349)⊝)⊭↱((⋰*⋻888⨕⋳)∖⋰*⋻3A7A≁↽≥⋰*⋻1049)⨭⪣(⫯⋰*⋻5146)⊉↱≁(⋰*⋻2479∀⇚≩⋰*⋻1283)=⋰*⋻1A0","reverse_text":"⋰*⋻1A0=((⋰*⋻1889⇼⇔∾⋰*⋻2245)⫗⊷⫓(⨰⫟⨤⋰*⋻1349)⊝)⊭↱((⋰*⋻888⨕⋳)∖⋰*⋻3A7A≁↽≥⋰*⋻1049)⨭⪣(⫯⋰*⋻5146)⊉↱≁(⋰*⋻2479∀⇚≩⋰*⋻1283)","cot":[{"info":"⋰*⋻1889⇼⇔∾⋰*⋻2245=⋰*⋻467","layer":3},{"info":"⨰⫟⨤⋰*⋻1349=NaN","layer":3},{"info":"⋰*⋻467⫗⊷⫓NaN=⋰*⋻-112","layer":2},{"info":"⋰*⋻-112⊝=⋰*⋻-112","layer":1},{"info":"⋰*⋻888⨕⋳=⋰*⋻9A65","layer":3},{"info":"⋰*⋻3A7A≁↽≥⋰*⋻1049=⋰*⋻51A91","layer":3},{"info":"⋰*⋻9A65∖⋰*⋻51A91=⋰*⋻0","layer":2},{"info":"⫯⋰*⋻5146=⋰*⋻-176316","layer":3},{"info":"⋰*⋻2479∀⇚≩⋰*⋻1283=NaN","layer":3},{"info":"⋰*⋻-176316⊉↱≁NaN=NaN","layer":2},{"info":"⋰*⋻0⨭⪣NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻-112⊭↱⋰*⋻-1A=⋰*⋻1A0","layer":0}]}
{"id":516,"expression_no_base_symbol":"(($1004$≋⫹)≀⫉$3232$⫉⨲⊜$4188$⩎⪣⊞)↼⊘⨖(($1131$⨪↰⇹$1534$⪄$2559$⨪↰⇹$8287$)⩒⫫(↥$1240$)⊔$5097$≁$5450$)","expression":"((⋰*⋻833≋⫹)≀⫉⋰*⋻2479⫉⨲⊜⋰*⋻3168⩎⪣⊞)↼⊘⨖((⋰*⋻939⨪↰⇹⋰*⋻1175⪄⋰*⋻1A17⨪↰⇹⋰*⋻6254)⩒⫫(↥⋰*⋻A28)⊔⋰*⋻3914≁⋰*⋻4105)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43626,"operation_count":12,"complexity_ratio":3635.5,"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":1004,"base":11}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3232,"base":11},"right_expr":{"type":"numeric_atoms","value":4188,"base":11}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1131,"base":11},"right_expr":{"type":"numeric_atoms","value":1534,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2559,"base":11},"right_expr":{"type":"numeric_atoms","value":8287,"base":11}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1240,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5097,"base":11},"right_expr":{"type":"numeric_atoms","value":5450,"base":11}}}}},"used_operators":["bPywburJMS","waWucp1uQ4","oZj3VtZNQx","N41Kp7NANJ","WhqkvtTD3t","KFSx94NKJn","SUmda5xLS4","tmPS8pqC7x","E4l6HwMY31","A8NUZmVepG","8N2wDY1A35"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","mp7IySMOzn","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","k8jYdgA6NY","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⋰*⋻8A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2008","layer":3},{"info":"number node, value=3232","layer":4},{"info":"number node, value=4188","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=4188, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2008, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=5644","layer":1},{"info":"number node, value=1131","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=1131, 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=1131","layer":3},{"info":"number node, value=2559","layer":4},{"info":"number node, value=8287","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=8287, 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=2559","layer":3},{"info":"compute binary expreesion, left_input=1131, right_input=2559, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-173713","layer":2},{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=16","layer":3},{"info":"number node, value=5097","layer":4},{"info":"number node, value=5450","layer":4},{"info":"compute binary expreesion, left_input=5097, right_input=5450, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=117599","layer":3},{"info":"compute binary expreesion, left_input=16, right_input=117599, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=585627","layer":2},{"info":"compute binary expreesion, left_input=-173713, right_input=585627, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=5644, right_input=160, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=98","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻833≋⫹)≀⫉⋰*⋻2479⫉⨲⊜⋰*⋻3168⩎⪣⊞)↼⊘⨖((⋰*⋻939⨪↰⇹⋰*⋻1175⪄⋰*⋻1A17⨪↰⇹⋰*⋻6254)⩒⫫(↥⋰*⋻A28)⊔⋰*⋻3914≁⋰*⋻4105)=⋰*⋻8A","reverse_text":"⋰*⋻8A=((⋰*⋻833≋⫹)≀⫉⋰*⋻2479⫉⨲⊜⋰*⋻3168⩎⪣⊞)↼⊘⨖((⋰*⋻939⨪↰⇹⋰*⋻1175⪄⋰*⋻1A17⨪↰⇹⋰*⋻6254)⩒⫫(↥⋰*⋻A28)⊔⋰*⋻3914≁⋰*⋻4105)","cot":[{"info":"⋰*⋻833≋⫹=⋰*⋻-1566","layer":3},{"info":"⋰*⋻2479⫉⨲⊜⋰*⋻3168=⋰*⋻0","layer":3},{"info":"⋰*⋻-1566≀⫉⋰*⋻0=⋰*⋻2136","layer":2},{"info":"⋰*⋻2136⩎⪣⊞=⋰*⋻4271","layer":1},{"info":"⋰*⋻939⨪↰⇹⋰*⋻1175=⋰*⋻939","layer":3},{"info":"⋰*⋻1A17⨪↰⇹⋰*⋻6254=⋰*⋻1A17","layer":3},{"info":"⋰*⋻939⪄⋰*⋻1A17=⋰*⋻-109571","layer":2},{"info":"↥⋰*⋻A28=⋰*⋻15","layer":3},{"info":"⋰*⋻3914≁⋰*⋻4105=⋰*⋻80399","layer":3},{"info":"⋰*⋻15⊔⋰*⋻80399=⋰*⋻36AA99","layer":2},{"info":"⋰*⋻-109571⩒⫫⋰*⋻36AA99=⋰*⋻136","layer":1},{"info":"⋰*⋻4271↼⊘⨖⋰*⋻136=⋰*⋻8A","layer":0}]}
{"id":517,"expression_no_base_symbol":"⊑(($8058$∽$3906$)⊬⨰($1266$⊋≦⊧$2512$)≬⋮$2814$+⪬∐$1859$⊴(↨$4428$))","expression":"⊑((⋰*⋻6066∽⋰*⋻2A31)⊬⨰(⋰*⋻A51⊋≦⊧⋰*⋻1984)≬⋮⋰*⋻2129+⪬∐⋰*⋻1440⊴(↨⋰*⋻3366))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":631,"operation_count":8,"complexity_ratio":78.875,"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":8058,"base":11},"right_expr":{"type":"numeric_atoms","value":3906,"base":11}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1266,"base":11},"right_expr":{"type":"numeric_atoms","value":2512,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2814,"base":11},"right_expr":{"type":"numeric_atoms","value":1859,"base":11}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":4428,"base":11}}}}},"used_operators":["IkUmn0D7oy","kbkesczE7y","s3Fd5m9Dh2","y4ImoPnbV5","oRDoc9rAEX","Nsiff2A1zJ","2GS7woTJqF","jiX4gk2v2Q"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","14qkJME0vr","g55IO6H4Gj","D4vGDi5EA2","rGHVDoGpnC","oZj3VtZNQx"],"result":"⋰*⋻165","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8058","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=8058, right_input=3906, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-51830","layer":3},{"info":"number node, value=1266","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=2512, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3538","layer":3},{"info":"compute binary expreesion, left_input=-51830, right_input=-3538, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-117812","layer":2},{"info":"number node, value=2814","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=2814, right_input=1859, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8442","layer":3},{"info":"number node, value=4428","layer":4},{"info":"compute unary expreesion, input=4428, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8442, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-117812, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":11,"result_base":11,"text":"⊑((⋰*⋻6066∽⋰*⋻2A31)⊬⨰(⋰*⋻A51⊋≦⊧⋰*⋻1984)≬⋮⋰*⋻2129+⪬∐⋰*⋻1440⊴(↨⋰*⋻3366))=⋰*⋻165","reverse_text":"⋰*⋻165=⊑((⋰*⋻6066∽⋰*⋻2A31)⊬⨰(⋰*⋻A51⊋≦⊧⋰*⋻1984)≬⋮⋰*⋻2129+⪬∐⋰*⋻1440⊴(↨⋰*⋻3366))","cot":[{"info":"⋰*⋻6066∽⋰*⋻2A31=⋰*⋻-35A39","layer":3},{"info":"⋰*⋻A51⊋≦⊧⋰*⋻1984=⋰*⋻-2727","layer":3},{"info":"⋰*⋻-35A39⊬⨰⋰*⋻-2727=⋰*⋻-80572","layer":2},{"info":"⋰*⋻2129+⪬∐⋰*⋻1440=⋰*⋻-6385","layer":3},{"info":"↨⋰*⋻3366=NaN","layer":3},{"info":"⋰*⋻-6385⊴NaN=NaN","layer":2},{"info":"⋰*⋻-80572≬⋮NaN=NaN","layer":1},{"info":"⊑NaN=⋰*⋻165","layer":0}]}
{"id":518,"expression_no_base_symbol":"$1657$⇤$3591$→⨶⪴($5866$≣⋋)∑⇟⊟(≻⋜($5729$⨰$1744$))⇣⩺⋵((($6026$⫠)⪘⨀)⫸⊐(↨⩢⫨($2024$⇔⨋)))","expression":"⋰*⋻1277⇤⋰*⋻2775→⨶⪴(⋰*⋻4453≣⋋)∑⇟⊟(≻⋜(⋰*⋻4339⨰⋰*⋻1346))⇣⩺⋵(((⋰*⋻4589⫠)⪘⨀)⫸⊐(↨⩢⫨(⋰*⋻1580⇔⨋)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":104738,"operation_count":12,"complexity_ratio":8728.166666666666,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1657,"base":11},"right_expr":{"type":"numeric_atoms","value":3591,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5866,"base":11}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5729,"base":11},"right_expr":{"type":"numeric_atoms","value":1744,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":6026,"base":11}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":2024,"base":11}}}}},"used_operators":["F4yD0voBRQ","U7g4x0WXJJ","bF6eod5Gvf","YSKBFp38Pu","Tcnh7f0tEr","3tj9sqzovi","eewbuw0ToL","mqXw5SEYmG","aA7tF3KVD3","6SnOT2rOjz","Z5CJsN7DuW","uBihLCJcMX"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"⋰*⋻-217","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1657","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=3591, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-23392","layer":3},{"info":"number node, value=5866","layer":4},{"info":"compute unary expreesion, input=5866, 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=-23392, right_input=0, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-46816","layer":2},{"info":"number node, value=5729","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=5729, right_input=1744, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3995","layer":3},{"info":"compute unary expreesion, input=3995, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-46816, 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=6026","layer":4},{"info":"compute unary expreesion, input=6026, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":2},{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=11074","layer":3},{"info":"compute unary expreesion, input=11074, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1277⇤⋰*⋻2775→⨶⪴(⋰*⋻4453≣⋋)∑⇟⊟(≻⋜(⋰*⋻4339⨰⋰*⋻1346))⇣⩺⋵(((⋰*⋻4589⫠)⪘⨀)⫸⊐(↨⩢⫨(⋰*⋻1580⇔⨋)))=⋰*⋻-217","reverse_text":"⋰*⋻-217=⋰*⋻1277⇤⋰*⋻2775→⨶⪴(⋰*⋻4453≣⋋)∑⇟⊟(≻⋜(⋰*⋻4339⨰⋰*⋻1346))⇣⩺⋵(((⋰*⋻4589⫠)⪘⨀)⫸⊐(↨⩢⫨(⋰*⋻1580⇔⨋)))","cot":[{"info":"⋰*⋻1277⇤⋰*⋻2775=⋰*⋻-16636","layer":3},{"info":"⋰*⋻4453≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻-16636→⨶⪴⋰*⋻0=⋰*⋻-321A0","layer":2},{"info":"⋰*⋻4339⨰⋰*⋻1346=⋰*⋻3002","layer":3},{"info":"≻⋜⋰*⋻3002=NaN","layer":2},{"info":"⋰*⋻-321A0∑⇟⊟NaN=NaN","layer":1},{"info":"⋰*⋻4589⫠=⋰*⋻0","layer":3},{"info":"⋰*⋻0⪘⨀=NaN","layer":2},{"info":"⋰*⋻1580⇔⨋=⋰*⋻8358","layer":3},{"info":"↨⩢⫨⋰*⋻8358=⋰*⋻0","layer":2},{"info":"NaN⫸⊐⋰*⋻0=NaN","layer":1},{"info":"NaN⇣⩺⋵NaN=⋰*⋻-217","layer":0}]}
{"id":519,"expression_no_base_symbol":"(($2920$∖$4837$)≝⊿($4298$⪚$1018$)≑≱⪘)⪇≇⋚(⨩∲⋌$2261$)∓⋝($6270$≨$1622$)⇣⩺⋵$2337$⨸$7810$≹⇙⪍$4419$⩼⇪↪$4562$","expression":"((⋰*⋻2215∖⋰*⋻36A8)≝⊿(⋰*⋻3258⪚⋰*⋻846)≑≱⪘)⪇≇⋚(⨩∲⋌⋰*⋻1776)∓⋝(⋰*⋻4790≨⋰*⋻1245)⇣⩺⋵⋰*⋻1835⨸⋰*⋻5960≹⇙⪍⋰*⋻3358⩼⇪↪⋰*⋻3478","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3365,"operation_count":12,"complexity_ratio":280.4166666666667,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2920,"base":11},"right_expr":{"type":"numeric_atoms","value":4837,"base":11}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4298,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2261,"base":11}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6270,"base":11},"right_expr":{"type":"numeric_atoms","value":1622,"base":11}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2337,"base":11},"right_expr":{"type":"numeric_atoms","value":7810,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4419,"base":11},"right_expr":{"type":"numeric_atoms","value":4562,"base":11}}}}},"used_operators":["3sJ7IOPOlU","tGSeddj7UK","OKKcZfAt5B","tXD093vOjl","HrjLwUk87U","F4yD0voBRQ","PoHhknlbAi","aSik1wnThz","0KMCeP1Jsh","AHs5Up7iyr","KmoU8R5UQR","ocnLzx9CaJ"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","dWAJyo7jo9","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2920","layer":4},{"info":"number node, value=4837","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=4837, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=4298","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=4298, right_input=1018, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6204","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6204, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12941","layer":2},{"info":"compute unary expreesion, input=-12941, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=339517","layer":1},{"info":"number node, value=2261","layer":4},{"info":"compute unary expreesion, input=2261, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2784","layer":3},{"info":"number node, value=6270","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=6270, right_input=1622, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-60224","layer":3},{"info":"compute binary expreesion, left_input=-2784, right_input=-60224, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=2337","layer":4},{"info":"number node, value=7810","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=7810, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4674","layer":3},{"info":"number node, value=4419","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=4419, right_input=4562, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-23879","layer":3},{"info":"compute binary expreesion, left_input=4674, right_input=-23879, 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=67, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=339517, right_input=-260, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2215∖⋰*⋻36A8)≝⊿(⋰*⋻3258⪚⋰*⋻846)≑≱⪘)⪇≇⋚(⨩∲⋌⋰*⋻1776)∓⋝(⋰*⋻4790≨⋰*⋻1245)⇣⩺⋵⋰*⋻1835⨸⋰*⋻5960≹⇙⪍⋰*⋻3358⩼⇪↪⋰*⋻3478=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻2215∖⋰*⋻36A8)≝⊿(⋰*⋻3258⪚⋰*⋻846)≑≱⪘)⪇≇⋚(⨩∲⋌⋰*⋻1776)∓⋝(⋰*⋻4790≨⋰*⋻1245)⇣⩺⋵⋰*⋻1835⨸⋰*⋻5960≹⇙⪍⋰*⋻3358⩼⇪↪⋰*⋻3478","cot":[{"info":"⋰*⋻2215∖⋰*⋻36A8=⋰*⋻0","layer":3},{"info":"⋰*⋻3258⪚⋰*⋻846=⋰*⋻4730","layer":3},{"info":"⋰*⋻0≝⊿⋰*⋻4730=⋰*⋻-97A5","layer":2},{"info":"⋰*⋻-97A5≑≱⪘=⋰*⋻2120A2","layer":1},{"info":"⨩∲⋌⋰*⋻1776=⋰*⋻-2101","layer":3},{"info":"⋰*⋻4790≨⋰*⋻1245=⋰*⋻-4127A","layer":3},{"info":"⋰*⋻-2101∓⋝⋰*⋻-4127A=⋰*⋻61","layer":2},{"info":"⋰*⋻1835⨸⋰*⋻5960=⋰*⋻356A","layer":3},{"info":"⋰*⋻3358⩼⇪↪⋰*⋻3478=⋰*⋻-16A39","layer":3},{"info":"⋰*⋻356A≹⇙⪍⋰*⋻-16A39=NaN","layer":2},{"info":"⋰*⋻61⇣⩺⋵NaN=⋰*⋻-217","layer":1},{"info":"⋰*⋻2120A2⪇≇⋚⋰*⋻-217=⋰*⋻0","layer":0}]}
{"id":520,"expression_no_base_symbol":"(($1031$⩇∃⫛$3305$)⪒⊣⊆($2473$⫿))⨽∌(⇵⪽($1193$≓∲$4980$))⫌⩉⩟($1368$⨚⇆$4135$*(⊖∈$5661$))⇍⊗($1422$⋫)⫘$3415$⊱⇼⊻$5065$","expression":"((⋰*⋻858⩇∃⫛⋰*⋻2535)⪒⊣⊆(⋰*⋻1949⫿))⨽∌(⇵⪽(⋰*⋻995≓∲⋰*⋻3818))⫌⩉⩟(⋰*⋻1034⨚⇆⋰*⋻311A*(⊖∈⋰*⋻4287))⇍⊗(⋰*⋻1083⋫)⫘⋰*⋻2625⊱⇼⊻⋰*⋻3895","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":76931,"operation_count":14,"complexity_ratio":5495.071428571428,"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":1031,"base":11},"right_expr":{"type":"numeric_atoms","value":3305,"base":11}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2473,"base":11}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1193,"base":11},"right_expr":{"type":"numeric_atoms","value":4980,"base":11}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1368,"base":11},"right_expr":{"type":"numeric_atoms","value":4135,"base":11}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5661,"base":11}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1422,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3415,"base":11},"right_expr":{"type":"numeric_atoms","value":5065,"base":11}}}}},"used_operators":["XIIwhv8d0m","9samAPKr6k","eRqsBgTDFp","1aApVXNlOP","9tKT6PmtkH","ZGCBLdVRRX","s1XTVnmDOJ","5uvYHDjeKN","9HNa5Wba9A","lwHaAYXP2r","YFxL8Sc2Zy","48vC8HMD2b","JL8yIekQnl","FyVja0WsTP"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","U7g4x0WXJJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tmPS8pqC7x","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⋰*⋻-46","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=3305, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2747","layer":3},{"info":"number node, value=2473","layer":4},{"info":"compute unary expreesion, input=2473, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2473","layer":3},{"info":"compute binary expreesion, left_input=2747, right_input=2473, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5494","layer":2},{"info":"number node, value=1193","layer":4},{"info":"number node, value=4980","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=4980, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=12713","layer":3},{"info":"compute unary expreesion, input=12713, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5494, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=1368","layer":4},{"info":"number node, value=4135","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=4135, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=5661","layer":4},{"info":"compute unary expreesion, input=5661, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=107626","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=107626, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1422","layer":3},{"info":"number node, value=3415","layer":4},{"info":"number node, value=5065","layer":4},{"info":"compute binary expreesion, left_input=3415, right_input=5065, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=1422, right_input=434, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1676677","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1676677, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻858⩇∃⫛⋰*⋻2535)⪒⊣⊆(⋰*⋻1949⫿))⨽∌(⇵⪽(⋰*⋻995≓∲⋰*⋻3818))⫌⩉⩟(⋰*⋻1034⨚⇆⋰*⋻311A*(⊖∈⋰*⋻4287))⇍⊗(⋰*⋻1083⋫)⫘⋰*⋻2625⊱⇼⊻⋰*⋻3895=⋰*⋻-46","reverse_text":"⋰*⋻-46=((⋰*⋻858⩇∃⫛⋰*⋻2535)⪒⊣⊆(⋰*⋻1949⫿))⨽∌(⇵⪽(⋰*⋻995≓∲⋰*⋻3818))⫌⩉⩟(⋰*⋻1034⨚⇆⋰*⋻311A*(⊖∈⋰*⋻4287))⇍⊗(⋰*⋻1083⋫)⫘⋰*⋻2625⊱⇼⊻⋰*⋻3895","cot":[{"info":"⋰*⋻858⩇∃⫛⋰*⋻2535=⋰*⋻2078","layer":3},{"info":"⋰*⋻1949⫿=⋰*⋻1949","layer":3},{"info":"⋰*⋻2078⪒⊣⊆⋰*⋻1949=⋰*⋻4145","layer":2},{"info":"⋰*⋻995≓∲⋰*⋻3818=⋰*⋻9608","layer":3},{"info":"⇵⪽⋰*⋻9608=NaN","layer":2},{"info":"⋰*⋻4145⨽∌NaN=NaN","layer":1},{"info":"⋰*⋻1034⨚⇆⋰*⋻311A=NaN","layer":3},{"info":"⊖∈⋰*⋻4287=⋰*⋻73952","layer":3},{"info":"NaN*⋰*⋻73952=NaN","layer":2},{"info":"⋰*⋻1083⋫=⋰*⋻1083","layer":3},{"info":"⋰*⋻2625⊱⇼⊻⋰*⋻3895=⋰*⋻365","layer":3},{"info":"⋰*⋻1083⫘⋰*⋻365=⋰*⋻A45792","layer":2},{"info":"NaN⇍⊗⋰*⋻A45792=⋰*⋻-202","layer":1},{"info":"NaN⫌⩉⩟⋰*⋻-202=⋰*⋻-46","layer":0}]}
{"id":521,"expression_no_base_symbol":"(∮(⪓⩚(⨩∲⋌$3324$)))≬⋮(⨮↦↱(($5210$⩟)⊉≛↸($3837$⇡)))","expression":"(∮(⪓⩚(⨩∲⋌⋰*⋻2552)))≬⋮(⨮↦↱((⋰*⋻3A07⩟)⊉≛↸(⋰*⋻2979⇡)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6251,"operation_count":8,"complexity_ratio":781.375,"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":3324,"base":11}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":5210,"base":11}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":3837,"base":11}}}}},"used_operators":["kbkesczE7y","CqXKPLVYql","u0R0Locfp2","aSik1wnThz","sYcpBQ0cFf","DZ8iAZOCBD","fOIeswaMU4","UqFzSgLMvQ"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu"],"result":"⋰*⋻71A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3324","layer":4},{"info":"compute unary expreesion, input=3324, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3847","layer":3},{"info":"compute unary expreesion, input=-3847, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute unary expreesion, input=426, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":1},{"info":"number node, value=5210","layer":4},{"info":"compute unary expreesion, input=5210, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-45663","layer":3},{"info":"number node, value=3837","layer":4},{"info":"compute unary expreesion, input=3837, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute binary expreesion, left_input=-45663, right_input=-2917, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2917","layer":2},{"info":"compute unary expreesion, input=2917, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-17636427","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-17636427, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":11,"result_base":11,"text":"(∮(⪓⩚(⨩∲⋌⋰*⋻2552)))≬⋮(⨮↦↱((⋰*⋻3A07⩟)⊉≛↸(⋰*⋻2979⇡)))=⋰*⋻71A","reverse_text":"⋰*⋻71A=(∮(⪓⩚(⨩∲⋌⋰*⋻2552)))≬⋮(⨮↦↱((⋰*⋻3A07⩟)⊉≛↸(⋰*⋻2979⇡)))","cot":[{"info":"⨩∲⋌⋰*⋻2552=⋰*⋻-2988","layer":3},{"info":"⪓⩚⋰*⋻-2988=⋰*⋻358","layer":2},{"info":"∮⋰*⋻358=⋰*⋻61","layer":1},{"info":"⋰*⋻3A07⩟=⋰*⋻-31342","layer":3},{"info":"⋰*⋻2979⇡=⋰*⋻-2212","layer":3},{"info":"⋰*⋻-31342⊉≛↸⋰*⋻-2212=⋰*⋻2212","layer":2},{"info":"⨮↦↱⋰*⋻2212=⋰*⋻-9A56566","layer":1},{"info":"⋰*⋻61≬⋮⋰*⋻-9A56566=⋰*⋻71A","layer":0}]}
{"id":522,"expression_no_base_symbol":"(⪭⩑⪱($3999$⪕$4331$)⨼⩣(⇋↷$2441$))≎⊠⪸($1052$⫞⩸⩒$1754$≧⫂∧$4300$∇⊂⋱$1460$⫸⊐($1604$∊∟⩊$1591$)⨐(⪓⩚$1162$))","expression":"(⪭⩑⪱(⋰*⋻3006⪕⋰*⋻3288)⨼⩣(⇋↷⋰*⋻191A))≎⊠⪸(⋰*⋻877⫞⩸⩒⋰*⋻1355≧⫂∧⋰*⋻325A∇⊂⋱⋰*⋻1108⫸⊐(⋰*⋻1229∊∟⩊⋰*⋻1217)⨐(⪓⩚⋰*⋻967))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4189,"operation_count":12,"complexity_ratio":349.0833333333333,"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":3999,"base":11},"right_expr":{"type":"numeric_atoms","value":4331,"base":11}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2441,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1052,"base":11},"right_expr":{"type":"numeric_atoms","value":1754,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4300,"base":11},"right_expr":{"type":"numeric_atoms","value":1460,"base":11}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1604,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1162,"base":11}}}}},"used_operators":["bJkvcejdHO","SIgE0bArFf","JxwMv5le6e","umQnsF7QlU","SWo3A1KBJH","mqXw5SEYmG","Ph9nP6C5qx","XGcMNugi78","nhYeJWJD5X","Noe24qw2ks","ddLRYrp01A","u0R0Locfp2"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3999","layer":4},{"info":"number node, value=4331","layer":4},{"info":"compute binary expreesion, left_input=3999, right_input=4331, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4568","layer":3},{"info":"number node, value=2441","layer":4},{"info":"compute unary expreesion, input=2441, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=19528","layer":3},{"info":"compute binary expreesion, left_input=4568, right_input=19528, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1754, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1754","layer":3},{"info":"number node, value=4300","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=4300, right_input=1460, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=8054","layer":3},{"info":"compute binary expreesion, left_input=1754, right_input=8054, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7581","layer":2},{"info":"number node, value=1604","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1604, right_input=1591, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1591","layer":3},{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=1591, right_input=426, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3182","layer":2},{"info":"compute binary expreesion, left_input=7581, right_input=-3182, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-6493","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=-6493, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(⪭⩑⪱(⋰*⋻3006⪕⋰*⋻3288)⨼⩣(⇋↷⋰*⋻191A))≎⊠⪸(⋰*⋻877⫞⩸⩒⋰*⋻1355≧⫂∧⋰*⋻325A∇⊂⋱⋰*⋻1108⫸⊐(⋰*⋻1229∊∟⩊⋰*⋻1217)⨐(⪓⩚⋰*⋻967))=⋰*⋻61","reverse_text":"⋰*⋻61=(⪭⩑⪱(⋰*⋻3006⪕⋰*⋻3288)⨼⩣(⇋↷⋰*⋻191A))≎⊠⪸(⋰*⋻877⫞⩸⩒⋰*⋻1355≧⫂∧⋰*⋻325A∇⊂⋱⋰*⋻1108⫸⊐(⋰*⋻1229∊∟⩊⋰*⋻1217)⨐(⪓⩚⋰*⋻967))","cot":[{"info":"⋰*⋻3006⪕⋰*⋻3288=⋰*⋻3483","layer":3},{"info":"⇋↷⋰*⋻191A=⋰*⋻13743","layer":3},{"info":"⋰*⋻3483⨼⩣⋰*⋻13743=NaN","layer":2},{"info":"⪭⩑⪱NaN=⋰*⋻4773560","layer":1},{"info":"⋰*⋻877⫞⩸⩒⋰*⋻1355=⋰*⋻1355","layer":3},{"info":"⋰*⋻325A∇⊂⋱⋰*⋻1108=⋰*⋻6062","layer":3},{"info":"⋰*⋻1355≧⫂∧⋰*⋻6062=⋰*⋻5772","layer":2},{"info":"⋰*⋻1229∊∟⩊⋰*⋻1217=⋰*⋻1217","layer":3},{"info":"⪓⩚⋰*⋻967=⋰*⋻358","layer":3},{"info":"⋰*⋻1217⨐⋰*⋻358=⋰*⋻-2433","layer":2},{"info":"⋰*⋻5772⫸⊐⋰*⋻-2433=⋰*⋻-4973","layer":1},{"info":"⋰*⋻4773560≎⊠⪸⋰*⋻-4973=⋰*⋻61","layer":0}]}
{"id":523,"expression_no_base_symbol":"($2005$⫁⪎$1099$≀⫉($1250$⨭⪣$3398$)⫌⩉⩟(↓⇌$1728$)⪝($3716$∠⫱$8468$))⫁⪎(((⪸$1067$)⊨$6972$∊∟⩊$2533$)≠≀((↪⫪⫘$2222$)≥⨤⩑($3222$⇮⋭$4021$)))","expression":"(⋰*⋻1563⫁⪎⋰*⋻90A≀⫉(⋰*⋻A37⨭⪣⋰*⋻260A)⫌⩉⩟(↓⇌⋰*⋻1331)⪝(⋰*⋻2879∠⫱⋰*⋻63A9))⫁⪎(((⪸⋰*⋻890)⊨⋰*⋻5269∊∟⩊⋰*⋻19A3)≠≀((↪⫪⫘⋰*⋻1740)≥⨤⩑(⋰*⋻246A⇮⋭⋰*⋻3026)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23956,"operation_count":15,"complexity_ratio":1597.0666666666666,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2005,"base":11},"right_expr":{"type":"numeric_atoms","value":1099,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1250,"base":11},"right_expr":{"type":"numeric_atoms","value":3398,"base":11}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1728,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3716,"base":11},"right_expr":{"type":"numeric_atoms","value":8468,"base":11}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1067,"base":11}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6972,"base":11},"right_expr":{"type":"numeric_atoms","value":2533,"base":11}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2222,"base":11}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3222,"base":11},"right_expr":{"type":"numeric_atoms","value":4021,"base":11}}}}},"used_operators":["xRrnTEsQ6j","XIIwhv8d0m","oZj3VtZNQx","kn8WO9XteQ","wicAB68Tmb","PxpmPgHHJV","QvoQhV0rrE","IwW236VD4Y","vg4gO5BX6G","86A5ENbKR9","ddLRYrp01A","gJLn6v0xnP","9dWsAM3GFt","vkpjKywKVM"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⋰*⋻-58","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2005","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=2005, right_input=1099, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=906","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=3398, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-29","layer":3},{"info":"compute binary expreesion, left_input=906, right_input=-29, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1728","layer":4},{"info":"compute unary expreesion, input=1728, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1728","layer":3},{"info":"number node, value=3716","layer":4},{"info":"number node, value=8468","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=8468, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1728, right_input=1234, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2375","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-2375, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-17930","layer":3},{"info":"number node, value=6972","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=6972, right_input=2533, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2533","layer":3},{"info":"compute binary expreesion, left_input=-17930, right_input=2533, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=2222","layer":4},{"info":"compute unary expreesion, input=2222, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=3222","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=4021, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-473, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=40","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=40, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=13","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=13, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-63","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1563⫁⪎⋰*⋻90A≀⫉(⋰*⋻A37⨭⪣⋰*⋻260A)⫌⩉⩟(↓⇌⋰*⋻1331)⪝(⋰*⋻2879∠⫱⋰*⋻63A9))⫁⪎(((⪸⋰*⋻890)⊨⋰*⋻5269∊∟⩊⋰*⋻19A3)≠≀((↪⫪⫘⋰*⋻1740)≥⨤⩑(⋰*⋻246A⇮⋭⋰*⋻3026)))=⋰*⋻-58","reverse_text":"⋰*⋻-58=(⋰*⋻1563⫁⪎⋰*⋻90A≀⫉(⋰*⋻A37⨭⪣⋰*⋻260A)⫌⩉⩟(↓⇌⋰*⋻1331)⪝(⋰*⋻2879∠⫱⋰*⋻63A9))⫁⪎(((⪸⋰*⋻890)⊨⋰*⋻5269∊∟⩊⋰*⋻19A3)≠≀((↪⫪⫘⋰*⋻1740)≥⨤⩑(⋰*⋻246A⇮⋭⋰*⋻3026)))","cot":[{"info":"⋰*⋻1563⫁⪎⋰*⋻90A=⋰*⋻754","layer":3},{"info":"⋰*⋻A37⨭⪣⋰*⋻260A=⋰*⋻-27","layer":3},{"info":"⋰*⋻754≀⫉⋰*⋻-27=⋰*⋻2136","layer":2},{"info":"↓⇌⋰*⋻1331=⋰*⋻1331","layer":3},{"info":"⋰*⋻2879∠⫱⋰*⋻63A9=⋰*⋻A22","layer":3},{"info":"⋰*⋻1331⪝⋰*⋻A22=⋰*⋻-186A","layer":2},{"info":"⋰*⋻2136⫌⩉⩟⋰*⋻-186A=⋰*⋻-46","layer":1},{"info":"⪸⋰*⋻890=⋰*⋻-12520","layer":3},{"info":"⋰*⋻5269∊∟⩊⋰*⋻19A3=⋰*⋻19A3","layer":3},{"info":"⋰*⋻-12520⊨⋰*⋻19A3=⋰*⋻-149","layer":2},{"info":"↪⫪⫘⋰*⋻1740=⋰*⋻19","layer":3},{"info":"⋰*⋻246A⇮⋭⋰*⋻3026=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻19≥⨤⩑⋰*⋻-3A0=⋰*⋻37","layer":2},{"info":"⋰*⋻-149≠≀⋰*⋻37=⋰*⋻12","layer":1},{"info":"⋰*⋻-46⫁⪎⋰*⋻12=⋰*⋻-58","layer":0}]}
{"id":524,"expression_no_base_symbol":"((($4545$⋐⇩⊬)⨫⇇↔($1807$∑⇟⊟$6271$))⩘)⊮⊟↴($3014$≨$1941$⪛($4536$⪇≇⋚$1629$)⨭⪣($1783$⫚↹⊑$4091$)↞⋁($3250$⩁⩘$4298$))","expression":"(((⋰*⋻3462⋐⇩⊬)⨫⇇↔(⋰*⋻13A3∑⇟⊟⋰*⋻4791))⩘)⊮⊟↴(⋰*⋻22A0≨⋰*⋻1505⪛(⋰*⋻3454⪇≇⋚⋰*⋻1251)⨭⪣(⋰*⋻1381⫚↹⊑⋰*⋻308A)↞⋁(⋰*⋻2495⩁⩘⋰*⋻3258))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":436,"operation_count":12,"complexity_ratio":36.333333333333336,"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":4545,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1807,"base":11},"right_expr":{"type":"numeric_atoms","value":6271,"base":11}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3014,"base":11},"right_expr":{"type":"numeric_atoms","value":1941,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4536,"base":11},"right_expr":{"type":"numeric_atoms","value":1629,"base":11}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1783,"base":11},"right_expr":{"type":"numeric_atoms","value":4091,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3250,"base":11},"right_expr":{"type":"numeric_atoms","value":4298,"base":11}}}}},"used_operators":["QDVgd2eftb","wvHyciQT5X","LXhwmt4mBO","JuuLT1NoCs","U7g4x0WXJJ","kn8WO9XteQ","uFcxV4UQCh","0KMCeP1Jsh","3sJ7IOPOlU","RqrPlJkxDo","dfKe02y8D2","gub5Cegaqo"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9ICcGScMcE","dfKe02y8D2","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DpFCA1CohY","IWmyXbctLI"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4545","layer":4},{"info":"compute unary expreesion, input=4545, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=4545","layer":3},{"info":"number node, value=1807","layer":4},{"info":"number node, value=6271","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=6271, 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=4545, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"number node, value=3014","layer":4},{"info":"number node, value=1941","layer":4},{"info":"compute binary expreesion, left_input=3014, right_input=1941, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-27664","layer":3},{"info":"number node, value=4536","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=1629, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-27664, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1783","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=4091, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=3250","layer":4},{"info":"number node, value=4298","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=4298, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=18140","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=18140, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-21, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3462⋐⇩⊬)⨫⇇↔(⋰*⋻13A3∑⇟⊟⋰*⋻4791))⩘)⊮⊟↴(⋰*⋻22A0≨⋰*⋻1505⪛(⋰*⋻3454⪇≇⋚⋰*⋻1251)⨭⪣(⋰*⋻1381⫚↹⊑⋰*⋻308A)↞⋁(⋰*⋻2495⩁⩘⋰*⋻3258))=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻3462⋐⇩⊬)⨫⇇↔(⋰*⋻13A3∑⇟⊟⋰*⋻4791))⩘)⊮⊟↴(⋰*⋻22A0≨⋰*⋻1505⪛(⋰*⋻3454⪇≇⋚⋰*⋻1251)⨭⪣(⋰*⋻1381⫚↹⊑⋰*⋻308A)↞⋁(⋰*⋻2495⩁⩘⋰*⋻3258))","cot":[{"info":"⋰*⋻3462⋐⇩⊬=⋰*⋻3462","layer":3},{"info":"⋰*⋻13A3∑⇟⊟⋰*⋻4791=NaN","layer":3},{"info":"⋰*⋻3462⨫⇇↔NaN=⋰*⋻-43A","layer":2},{"info":"⋰*⋻-43A⩘=⋰*⋻61","layer":1},{"info":"⋰*⋻22A0≨⋰*⋻1505=⋰*⋻-1986A","layer":3},{"info":"⋰*⋻3454⪇≇⋚⋰*⋻1251=⋰*⋻0","layer":3},{"info":"⋰*⋻-1986A⪛⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1381⫚↹⊑⋰*⋻308A=⋰*⋻-377","layer":3},{"info":"⋰*⋻2495⩁⩘⋰*⋻3258=⋰*⋻126A1","layer":3},{"info":"⋰*⋻-377↞⋁⋰*⋻126A1=NaN","layer":2},{"info":"NaN⨭⪣NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻61⊮⊟↴⋰*⋻-1A=⋰*⋻0","layer":0}]}
{"id":525,"expression_no_base_symbol":"⫶⊄≣(($1195$↡⊰⫅$1076$)≎⪠($2045$↙$2788$)∖($2180$⇴$1500$)∘($5981$⪉⨛$4636$))","expression":"⫶⊄≣((⋰*⋻997↡⊰⫅⋰*⋻899)≎⪠(⋰*⋻159A↙⋰*⋻2105)∖(⋰*⋻1702⇴⋰*⋻1144)∘(⋰*⋻4548⪉⨛⋰*⋻3535))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":39687,"operation_count":8,"complexity_ratio":4960.875,"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":1195,"base":11},"right_expr":{"type":"numeric_atoms","value":1076,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2045,"base":11},"right_expr":{"type":"numeric_atoms","value":2788,"base":11}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2180,"base":11},"right_expr":{"type":"numeric_atoms","value":1500,"base":11}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5981,"base":11},"right_expr":{"type":"numeric_atoms","value":4636,"base":11}}}}},"used_operators":["wxb3vTeyAj","tXD093vOjl","aNhz54LH3e","VCtxkLNOzz","yyfyN0ffXY","Z5m6OM72h2","4JB6nKBMSY","EWw2JM7wp4"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","tmPS8pqC7x","DpFCA1CohY","eH2TOUuTDT","rysDP5nf3Z","sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⋰*⋻-1377","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1195","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=1076, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2152","layer":3},{"info":"number node, value=2045","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=2788, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8364","layer":3},{"info":"compute binary expreesion, left_input=2152, right_input=-8364, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=2180","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=1500, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=15694","layer":3},{"info":"number node, value=5981","layer":4},{"info":"number node, value=4636","layer":4},{"info":"compute binary expreesion, left_input=5981, right_input=4636, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=13522","layer":3},{"info":"compute binary expreesion, left_input=15694, right_input=13522, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=31388","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=31388, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=-1778","layer":0}],"base":11,"result_base":11,"text":"⫶⊄≣((⋰*⋻997↡⊰⫅⋰*⋻899)≎⪠(⋰*⋻159A↙⋰*⋻2105)∖(⋰*⋻1702⇴⋰*⋻1144)∘(⋰*⋻4548⪉⨛⋰*⋻3535))=⋰*⋻-1377","reverse_text":"⋰*⋻-1377=⫶⊄≣((⋰*⋻997↡⊰⫅⋰*⋻899)≎⪠(⋰*⋻159A↙⋰*⋻2105)∖(⋰*⋻1702⇴⋰*⋻1144)∘(⋰*⋻4548⪉⨛⋰*⋻3535))","cot":[{"info":"⋰*⋻997↡⊰⫅⋰*⋻899=⋰*⋻1687","layer":3},{"info":"⋰*⋻159A↙⋰*⋻2105=⋰*⋻-6314","layer":3},{"info":"⋰*⋻1687≎⪠⋰*⋻-6314=⋰*⋻13770","layer":2},{"info":"⋰*⋻1702⇴⋰*⋻1144=⋰*⋻10878","layer":3},{"info":"⋰*⋻4548⪉⨛⋰*⋻3535=⋰*⋻A183","layer":3},{"info":"⋰*⋻10878∘⋰*⋻A183=⋰*⋻21645","layer":2},{"info":"⋰*⋻13770∖⋰*⋻21645=⋰*⋻0","layer":1},{"info":"⫶⊄≣⋰*⋻0=⋰*⋻-1377","layer":0}]}
{"id":526,"expression_no_base_symbol":"$4407$∋$5650$⊋(⇵⪽$1368$)⇴($4294$⪒⊣⊆$3339$⪉⨛($1087$⨲∙))↡⊰⫅(⨭⩧⫛(≑⋹$1355$))⪥($1404$⨻⩈⩔$1400$⋾⨃∁(⩦⊞$2385$))","expression":"⋰*⋻3347∋⋰*⋻4277⊋(⇵⪽⋰*⋻1034)⇴(⋰*⋻3254⪒⊣⊆⋰*⋻2566⪉⨛(⋰*⋻8A9⨲∙))↡⊰⫅(⨭⩧⫛(≑⋹⋰*⋻1022))⪥(⋰*⋻1067⨻⩈⩔⋰*⋻1063⋾⨃∁(⩦⊞⋰*⋻1879))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3070,"operation_count":14,"complexity_ratio":219.28571428571428,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4407,"base":11},"right_expr":{"type":"numeric_atoms","value":5650,"base":11}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1368,"base":11}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4294,"base":11},"right_expr":{"type":"numeric_atoms","value":3339,"base":11}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1087,"base":11}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1355,"base":11}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1404,"base":11},"right_expr":{"type":"numeric_atoms","value":1400,"base":11}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2385,"base":11}}}}},"used_operators":["VCtxkLNOzz","4JB6nKBMSY","W4tP9CfskL","ukq6epAj5P","ZGCBLdVRRX","EWw2JM7wp4","eRqsBgTDFp","cRahaglYVE","QbnwKVWMIQ","g21JL6JxX7","6B9nyZLogK","212REbPD9h","nEsXyWgiOK","u7fv1HBiaC"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","sdazOOVcIp","NTOWxs364D","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","U7g4x0WXJJ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4407","layer":4},{"info":"number node, value=5650","layer":4},{"info":"compute binary expreesion, left_input=4407, right_input=5650, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=11882292","layer":3},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11882292, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"number node, value=4294","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=4294, right_input=3339, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8588","layer":3},{"info":"number node, value=1087","layer":4},{"info":"compute unary expreesion, input=1087, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=12894298","layer":3},{"info":"compute binary expreesion, left_input=8588, right_input=12894298, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-12868319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12868319, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=1404","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1400, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=2831","layer":3},{"info":"number node, value=2385","layer":4},{"info":"compute unary expreesion, input=2385, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2112","layer":3},{"info":"compute binary expreesion, left_input=2831, right_input=-2112, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=44630690","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=44630690, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻3347∋⋰*⋻4277⊋(⇵⪽⋰*⋻1034)⇴(⋰*⋻3254⪒⊣⊆⋰*⋻2566⪉⨛(⋰*⋻8A9⨲∙))↡⊰⫅(⨭⩧⫛(≑⋹⋰*⋻1022))⪥(⋰*⋻1067⨻⩈⩔⋰*⋻1063⋾⨃∁(⩦⊞⋰*⋻1879))=NaN","reverse_text":"NaN=⋰*⋻3347∋⋰*⋻4277⊋(⇵⪽⋰*⋻1034)⇴(⋰*⋻3254⪒⊣⊆⋰*⋻2566⪉⨛(⋰*⋻8A9⨲∙))↡⊰⫅(⨭⩧⫛(≑⋹⋰*⋻1022))⪥(⋰*⋻1067⨻⩈⩔⋰*⋻1063⋾⨃∁(⩦⊞⋰*⋻1879))","cot":[{"info":"⋰*⋻3347∋⋰*⋻4277=⋰*⋻6786384","layer":3},{"info":"⇵⪽⋰*⋻1034=NaN","layer":3},{"info":"⋰*⋻6786384⊋NaN=NaN","layer":2},{"info":"⋰*⋻3254⪒⊣⊆⋰*⋻2566=⋰*⋻64A8","layer":3},{"info":"⋰*⋻8A9⨲∙=⋰*⋻730774A","layer":3},{"info":"⋰*⋻64A8⪉⨛⋰*⋻730774A=⋰*⋻-729A182","layer":2},{"info":"NaN⇴⋰*⋻-729A182=NaN","layer":1},{"info":"≑⋹⋰*⋻1022=⋰*⋻1270","layer":3},{"info":"⨭⩧⫛⋰*⋻1270=NaN","layer":2},{"info":"⋰*⋻1067⨻⩈⩔⋰*⋻1063=⋰*⋻2144","layer":3},{"info":"⩦⊞⋰*⋻1879=⋰*⋻-1650","layer":3},{"info":"⋰*⋻2144⋾⨃∁⋰*⋻-1650=⋰*⋻23213775","layer":2},{"info":"NaN⪥⋰*⋻23213775=NaN","layer":1},{"info":"NaN↡⊰⫅NaN=NaN","layer":0}]}
{"id":527,"expression_no_base_symbol":"(⇁⨣⪵($1535$%$3502$))∺≝⩲($1486$⪉⨛$1353$)⫣⪄⊒($9326$∸)⩤","expression":"(⇁⨣⪵(⋰*⋻1176%⋰*⋻26A4))∺≝⩲(⋰*⋻1131⪉⨛⋰*⋻1020)⫣⪄⊒(⋰*⋻7009∸)⩤","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":256,"operation_count":7,"complexity_ratio":36.57142857142857,"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":1535,"base":11},"right_expr":{"type":"numeric_atoms","value":3502,"base":11}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1486,"base":11},"right_expr":{"type":"numeric_atoms","value":1353,"base":11}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":9326,"base":11}}}}},"used_operators":["Z2TMIBDE3Q","KPf6cnQVty","inkyxCbjAn","k8jYdgA6NY","RabNbG55vr","EWw2JM7wp4","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","B5M0gjZbta","rysDP5nf3Z","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tmPS8pqC7x"],"result":"⋰*⋻-136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1535","layer":4},{"info":"number node, value=3502","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=3502, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1535","layer":3},{"info":"compute unary expreesion, input=1535, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1486","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=1353, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3320","layer":3},{"info":"number node, value=9326","layer":4},{"info":"compute unary expreesion, input=9326, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=3320, right_input=177, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-160","layer":0}],"base":11,"result_base":11,"text":"(⇁⨣⪵(⋰*⋻1176%⋰*⋻26A4))∺≝⩲(⋰*⋻1131⪉⨛⋰*⋻1020)⫣⪄⊒(⋰*⋻7009∸)⩤=⋰*⋻-136","reverse_text":"⋰*⋻-136=(⇁⨣⪵(⋰*⋻1176%⋰*⋻26A4))∺≝⩲(⋰*⋻1131⪉⨛⋰*⋻1020)⫣⪄⊒(⋰*⋻7009∸)⩤","cot":[{"info":"⋰*⋻1176%⋰*⋻26A4=⋰*⋻1176","layer":3},{"info":"⇁⨣⪵⋰*⋻1176=NaN","layer":2},{"info":"⋰*⋻1131⪉⨛⋰*⋻1020=⋰*⋻2549","layer":3},{"info":"⋰*⋻7009∸=⋰*⋻151","layer":3},{"info":"⋰*⋻2549⫣⪄⊒⋰*⋻151=⋰*⋻136","layer":2},{"info":"NaN∺≝⩲⋰*⋻136=⋰*⋻136","layer":1},{"info":"⋰*⋻136⩤=⋰*⋻-136","layer":0}]}
{"id":528,"expression_no_base_symbol":"((($1831$⨵⪆$2870$)⩺⋐⫨)∲⫓(⩏⊷≩($8278$∴≳≥)))⨐⩸⫘($2121$⨴∎)⇴$1563$∳⫺$4210$⋥≓≎($5371$↬$1462$)⊝⪿⪼(⩒∊$2502$)","expression":"(((⋰*⋻1415⨵⪆⋰*⋻217A)⩺⋐⫨)∲⫓(⩏⊷≩(⋰*⋻6246∴≳≥)))⨐⩸⫘(⋰*⋻1659⨴∎)⇴⋰*⋻11A1∳⫺⋰*⋻3188⋥≓≎(⋰*⋻4043↬⋰*⋻110A)⊝⪿⪼(⩒∊⋰*⋻1975)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7397,"operation_count":13,"complexity_ratio":569.0,"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":1831,"base":11},"right_expr":{"type":"numeric_atoms","value":2870,"base":11}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":8278,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2121,"base":11}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1563,"base":11},"right_expr":{"type":"numeric_atoms","value":4210,"base":11}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5371,"base":11},"right_expr":{"type":"numeric_atoms","value":1462,"base":11}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2502,"base":11}}}}},"used_operators":["fu6greOZ01","i8ToyICDmI","yS9ePUuUdn","2DQ55sFlQl","uOZ1tnYMDE","a3N2hFLK0J","Qy55tPpLXF","4JB6nKBMSY","CpSg5vQTgA","AzXXKTstlj","3Oe9XWJUTD","B5M0gjZbta","qazvmhNBbN"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rGHVDoGpnC","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"⋰*⋻-64","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1831","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=2870, 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 = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"number node, value=8278","layer":4},{"info":"compute unary expreesion, input=8278, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=33112","layer":3},{"info":"compute unary expreesion, input=33112, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=65923","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=65923, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2121","layer":4},{"info":"compute unary expreesion, input=2121, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=1563","layer":4},{"info":"number node, value=4210","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=4210, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2106","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2106, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=5371","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=5371, right_input=1462, 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=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4247","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4247, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', 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 binary expreesion, left_input=0, right_input=67, 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=-70","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1415⨵⪆⋰*⋻217A)⩺⋐⫨)∲⫓(⩏⊷≩(⋰*⋻6246∴≳≥)))⨐⩸⫘(⋰*⋻1659⨴∎)⇴⋰*⋻11A1∳⫺⋰*⋻3188⋥≓≎(⋰*⋻4043↬⋰*⋻110A)⊝⪿⪼(⩒∊⋰*⋻1975)=⋰*⋻-64","reverse_text":"⋰*⋻-64=(((⋰*⋻1415⨵⪆⋰*⋻217A)⩺⋐⫨)∲⫓(⩏⊷≩(⋰*⋻6246∴≳≥)))⨐⩸⫘(⋰*⋻1659⨴∎)⇴⋰*⋻11A1∳⫺⋰*⋻3188⋥≓≎(⋰*⋻4043↬⋰*⋻110A)⊝⪿⪼(⩒∊⋰*⋻1975)","cot":[{"info":"⋰*⋻1415⨵⪆⋰*⋻217A=⋰*⋻136","layer":3},{"info":"⋰*⋻136⩺⋐⫨=⋰*⋻0","layer":2},{"info":"⋰*⋻6246∴≳≥=⋰*⋻22972","layer":3},{"info":"⩏⊷≩⋰*⋻22972=⋰*⋻45590","layer":2},{"info":"⋰*⋻0∲⫓⋰*⋻45590=⋰*⋻0","layer":1},{"info":"⋰*⋻1659⨴∎=NaN","layer":3},{"info":"⋰*⋻11A1∳⫺⋰*⋻3188=⋰*⋻-1645","layer":3},{"info":"NaN⇴⋰*⋻-1645=NaN","layer":2},{"info":"⋰*⋻4043↬⋰*⋻110A=NaN","layer":3},{"info":"⩒∊⋰*⋻1975=⋰*⋻3211","layer":3},{"info":"NaN⊝⪿⪼⋰*⋻3211=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻0⨐⩸⫘⋰*⋻61=⋰*⋻-64","layer":0}]}
{"id":529,"expression_no_base_symbol":"(($3379$⫳≱↱$2541$)∳⫺(≔$1520$)⨚⇆(($1317$⫑)⋻⩜⩜(⨝⨆$1165$)))⩣⫁∢((($1436$⋛$3930$)∛($2815$⇣⩺⋵$6613$))∋(↩$1614$+⪬∐$4955$))","expression":"((⋰*⋻25A2⫳≱↱⋰*⋻1A00)∳⫺(≔⋰*⋻1162)⨚⇆((⋰*⋻A98⫑)⋻⩜⩜(⨝⨆⋰*⋻96A)))⩣⫁∢(((⋰*⋻1096⋛⋰*⋻2A53)∛(⋰*⋻212A⇣⩺⋵⋰*⋻4A72))∋(↩⋰*⋻1238+⪬∐⋰*⋻37A5))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16299,"operation_count":14,"complexity_ratio":1164.2142857142858,"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":3379,"base":11},"right_expr":{"type":"numeric_atoms","value":2541,"base":11}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1520,"base":11}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1317,"base":11}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1165,"base":11}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1436,"base":11},"right_expr":{"type":"numeric_atoms","value":3930,"base":11}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2815,"base":11},"right_expr":{"type":"numeric_atoms","value":6613,"base":11}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1614,"base":11},"right_expr":{"type":"numeric_atoms","value":4955,"base":11}}}}},"used_operators":["JDUIKTTSIa","lwHaAYXP2r","AzXXKTstlj","ZvLB05nZmT","8FLs4eVsLt","oDCm7WA9JY","CgIo77xlM2","bQ67fsrMVf","ukq6epAj5P","w2537kitQq","YbUVn0Rbpy","F4yD0voBRQ","jLgFTUHLKL","2GS7woTJqF"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","tifHPKVTfV","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","g55IO6H4Gj","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3379","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=3379, right_input=2541, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-41266","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-41266, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=956","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=956, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7958","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=7958, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=1436","layer":4},{"info":"number node, value=3930","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=3930, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-119268","layer":3},{"info":"number node, value=2815","layer":4},{"info":"number node, value=6613","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=6613, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1904","layer":3},{"info":"compute binary expreesion, left_input=-119268, right_input=-1904, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1614","layer":4},{"info":"number node, value=4955","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=4955, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4842","layer":3},{"info":"compute unary expreesion, input=-4842, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=21988","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=21988, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=45508948","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=45508948, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻25A2⫳≱↱⋰*⋻1A00)∳⫺(≔⋰*⋻1162)⨚⇆((⋰*⋻A98⫑)⋻⩜⩜(⨝⨆⋰*⋻96A)))⩣⫁∢(((⋰*⋻1096⋛⋰*⋻2A53)∛(⋰*⋻212A⇣⩺⋵⋰*⋻4A72))∋(↩⋰*⋻1238+⪬∐⋰*⋻37A5))=NaN","reverse_text":"NaN=((⋰*⋻25A2⫳≱↱⋰*⋻1A00)∳⫺(≔⋰*⋻1162)⨚⇆((⋰*⋻A98⫑)⋻⩜⩜(⨝⨆⋰*⋻96A)))⩣⫁∢(((⋰*⋻1096⋛⋰*⋻2A53)∛(⋰*⋻212A⇣⩺⋵⋰*⋻4A72))∋(↩⋰*⋻1238+⪬∐⋰*⋻37A5))","cot":[{"info":"⋰*⋻25A2⫳≱↱⋰*⋻1A00=⋰*⋻-176","layer":3},{"info":"≔⋰*⋻1162=⋰*⋻-29005","layer":3},{"info":"⋰*⋻-176∳⫺⋰*⋻-29005=⋰*⋻-217","layer":2},{"info":"⋰*⋻A98⫑=⋰*⋻2A98","layer":3},{"info":"⨝⨆⋰*⋻96A=⋰*⋻79A","layer":3},{"info":"⋰*⋻2A98⋻⩜⩜⋰*⋻79A=⋰*⋻5A85","layer":2},{"info":"⋰*⋻-217⨚⇆⋰*⋻5A85=NaN","layer":1},{"info":"⋰*⋻1096⋛⋰*⋻2A53=⋰*⋻-81676","layer":3},{"info":"⋰*⋻212A⇣⩺⋵⋰*⋻4A72=⋰*⋻-1481","layer":3},{"info":"⋰*⋻-81676∛⋰*⋻-1481=⋰*⋻61","layer":2},{"info":"⋰*⋻1238+⪬∐⋰*⋻37A5=⋰*⋻-3702","layer":3},{"info":"↩⋰*⋻-3702=⋰*⋻1557A","layer":2},{"info":"⋰*⋻61∋⋰*⋻1557A=⋰*⋻23763601","layer":1},{"info":"NaN⩣⫁∢⋰*⋻23763601=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"($8434$≁$2851$⨝⩣∺)⊉↱≁($2775$⋳⪒$3659$∙∹∝$1590$↬$2174$)⩎⪣⊞","expression":"(⋰*⋻6378≁⋰*⋻2162⨝⩣∺)⊉↱≁(⋰*⋻20A3⋳⪒⋰*⋻2827∙∹∝⋰*⋻1216↬⋰*⋻16A7)⩎⪣⊞","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":120,"operation_count":7,"complexity_ratio":17.142857142857142,"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":8434,"base":11},"right_expr":{"type":"numeric_atoms","value":2851,"base":11}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2775,"base":11},"right_expr":{"type":"numeric_atoms","value":3659,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1590,"base":11},"right_expr":{"type":"numeric_atoms","value":2174,"base":11}}}}},"used_operators":["waWucp1uQ4","w2P8NbNXyL","ancx8kZcWl","8N2wDY1A35","HmxsFra2vL","12rbrZMWeM","B5M0gjZbta"],"dependent_operators":["mp7IySMOzn","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DZ8iAZOCBD","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8434","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=8434, right_input=2851, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=55223","layer":3},{"info":"compute unary expreesion, input=55223, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-110446","layer":2},{"info":"number node, value=2775","layer":4},{"info":"number node, value=3659","layer":4},{"info":"compute binary expreesion, left_input=2775, right_input=3659, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1604","layer":3},{"info":"number node, value=1590","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=2174, 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=1604, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-110446, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-1105574","layer":1},{"info":"compute unary expreesion, input=-1105574, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6378≁⋰*⋻2162⨝⩣∺)⊉↱≁(⋰*⋻20A3⋳⪒⋰*⋻2827∙∹∝⋰*⋻1216↬⋰*⋻16A7)⩎⪣⊞=NaN","reverse_text":"NaN=(⋰*⋻6378≁⋰*⋻2162⨝⩣∺)⊉↱≁(⋰*⋻20A3⋳⪒⋰*⋻2827∙∹∝⋰*⋻1216↬⋰*⋻16A7)⩎⪣⊞","cot":[{"info":"⋰*⋻6378≁⋰*⋻2162=⋰*⋻38543","layer":3},{"info":"⋰*⋻38543⨝⩣∺=⋰*⋻-75A86","layer":2},{"info":"⋰*⋻20A3⋳⪒⋰*⋻2827=⋰*⋻1229","layer":3},{"info":"⋰*⋻1216↬⋰*⋻16A7=NaN","layer":3},{"info":"⋰*⋻1229∙∹∝NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻-75A86⊉↱≁⋰*⋻0=⋰*⋻-6956A8","layer":1},{"info":"⋰*⋻-6956A8⩎⪣⊞=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"⊥(($2196$⩣⫁∢$5898$⊘)⪭($4060$⪟⇏$1039$⪭≯($7076$+$3258$)))","expression":"⊥((⋰*⋻1717⩣⫁∢⋰*⋻4482⊘)⪭(⋰*⋻3061⪟⇏⋰*⋻865⪭≯(⋰*⋻5353+⋰*⋻24A2)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31219,"operation_count":7,"complexity_ratio":4459.857142857143,"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":2196,"base":11},"right_expr":{"type":"numeric_atoms","value":5898,"base":11}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4060,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7076,"base":11},"right_expr":{"type":"numeric_atoms","value":3258,"base":11}}}}},"used_operators":["Q3PJZHRvZv","j9kHMeSvPp","gu96TGCTMs","JDUIKTTSIa","XAx5wpdLa6","GODebY97qR","W4YGzv6Whe"],"dependent_operators":["fu6greOZ01","COABgblf1C","xUOZtlo3hN","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⋰*⋻150","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2196","layer":4},{"info":"number node, value=5898","layer":4},{"info":"compute binary expreesion, left_input=2196, right_input=5898, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4231","layer":3},{"info":"compute unary expreesion, input=-4231, 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=4060","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=4060, right_input=1039, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=7076","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=7076, right_input=3258, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10334","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=10334, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-173","layer":1},{"info":"compute unary expreesion, input=-173, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=176","layer":0}],"base":11,"result_base":11,"text":"⊥((⋰*⋻1717⩣⫁∢⋰*⋻4482⊘)⪭(⋰*⋻3061⪟⇏⋰*⋻865⪭≯(⋰*⋻5353+⋰*⋻24A2)))=⋰*⋻150","reverse_text":"⋰*⋻150=⊥((⋰*⋻1717⩣⫁∢⋰*⋻4482⊘)⪭(⋰*⋻3061⪟⇏⋰*⋻865⪭≯(⋰*⋻5353+⋰*⋻24A2)))","cot":[{"info":"⋰*⋻1717⩣⫁∢⋰*⋻4482=⋰*⋻-31A7","layer":3},{"info":"⋰*⋻-31A7⊘=⋰*⋻-1","layer":2},{"info":"⋰*⋻3061⪟⇏⋰*⋻865=⋰*⋻-1","layer":3},{"info":"⋰*⋻5353+⋰*⋻24A2=⋰*⋻7845","layer":3},{"info":"⋰*⋻-1⪭≯⋰*⋻7845=NaN","layer":2},{"info":"⋰*⋻-1⪭NaN=⋰*⋻-148","layer":1},{"info":"⊥⋰*⋻-148=⋰*⋻150","layer":0}]}
{"id":532,"expression_no_base_symbol":"(⊵⊁($5161$⇮⋭$5083$))⫸⇳$4364$↹⊜$2880$⩧⪆(⇠$3845$)↙$6367$⋣⋖$4631$⨰($2292$⪇≇⋚$8929$)⨔≚≋($4031$⋩≍≻)⫁⪎$1174$∴$1037$","expression":"(⊵⊁(⋰*⋻3972⇮⋭⋰*⋻3901))⫸⇳⋰*⋻3308↹⊜⋰*⋻2189⩧⪆(⇠⋰*⋻2986)↙⋰*⋻4869⋣⋖⋰*⋻3530⨰(⋰*⋻17A4⪇≇⋚⋰*⋻6788)⨔≚≋(⋰*⋻3035⋩≍≻)⫁⪎⋰*⋻978∴⋰*⋻863","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":178,"operation_count":14,"complexity_ratio":12.714285714285714,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5161,"base":11},"right_expr":{"type":"numeric_atoms","value":5083,"base":11}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4364,"base":11},"right_expr":{"type":"numeric_atoms","value":2880,"base":11}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":3845,"base":11}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6367,"base":11},"right_expr":{"type":"numeric_atoms","value":4631,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2292,"base":11},"right_expr":{"type":"numeric_atoms","value":8929,"base":11}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":4031,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1174,"base":11},"right_expr":{"type":"numeric_atoms","value":1037,"base":11}}}}},"used_operators":["yyfyN0ffXY","gx7XJ7hdpj","AvED76WdY7","vkpjKywKVM","Ikt5ks8PT7","9bazX3JMtO","18saOjeKKm","Z57zeUYC9z","eewbuw0ToL","J0M6qkBnIM","3sJ7IOPOlU","xRrnTEsQ6j","WYd1w68Nbz","hrf7POJlIJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","uBihLCJcMX","k8jYdgA6NY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5161","layer":4},{"info":"number node, value=5083","layer":4},{"info":"compute binary expreesion, left_input=5161, right_input=5083, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"number node, value=4364","layer":4},{"info":"number node, value=2880","layer":4},{"info":"compute binary expreesion, left_input=4364, right_input=2880, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2888","layer":3},{"info":"number node, value=3845","layer":4},{"info":"compute unary expreesion, input=3845, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3603","layer":3},{"info":"compute binary expreesion, left_input=-2888, right_input=-3603, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=3603","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3603, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"number node, value=6367","layer":4},{"info":"number node, value=4631","layer":4},{"info":"compute binary expreesion, left_input=6367, right_input=4631, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6367","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=8929","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=8929, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6367, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6377","layer":2},{"info":"number node, value=4031","layer":4},{"info":"compute unary expreesion, input=4031, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1037, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3996","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=3996, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-4051","layer":2},{"info":"compute binary expreesion, left_input=6377, right_input=-4051, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9872, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⊵⊁(⋰*⋻3972⇮⋭⋰*⋻3901))⫸⇳⋰*⋻3308↹⊜⋰*⋻2189⩧⪆(⇠⋰*⋻2986)↙⋰*⋻4869⋣⋖⋰*⋻3530⨰(⋰*⋻17A4⪇≇⋚⋰*⋻6788)⨔≚≋(⋰*⋻3035⋩≍≻)⫁⪎⋰*⋻978∴⋰*⋻863=⋰*⋻0","reverse_text":"⋰*⋻0=(⊵⊁(⋰*⋻3972⇮⋭⋰*⋻3901))⫸⇳⋰*⋻3308↹⊜⋰*⋻2189⩧⪆(⇠⋰*⋻2986)↙⋰*⋻4869⋣⋖⋰*⋻3530⨰(⋰*⋻17A4⪇≇⋚⋰*⋻6788)⨔≚≋(⋰*⋻3035⋩≍≻)⫁⪎⋰*⋻978∴⋰*⋻863","cot":[{"info":"⋰*⋻3972⇮⋭⋰*⋻3901=⋰*⋻-3A0","layer":3},{"info":"⊵⊁⋰*⋻-3A0=⋰*⋻0","layer":2},{"info":"⋰*⋻3308↹⊜⋰*⋻2189=⋰*⋻-2196","layer":3},{"info":"⇠⋰*⋻2986=⋰*⋻-2786","layer":3},{"info":"⋰*⋻-2196⩧⪆⋰*⋻-2786=⋰*⋻2786","layer":2},{"info":"⋰*⋻0⫸⇳⋰*⋻2786=⋰*⋻0","layer":1},{"info":"⋰*⋻4869⋣⋖⋰*⋻3530=⋰*⋻4869","layer":3},{"info":"⋰*⋻17A4⪇≇⋚⋰*⋻6788=⋰*⋻0","layer":3},{"info":"⋰*⋻4869⨰⋰*⋻0=⋰*⋻4878","layer":2},{"info":"⋰*⋻3035⋩≍≻=⋰*⋻-50","layer":3},{"info":"⋰*⋻978∴⋰*⋻863=⋰*⋻3003","layer":3},{"info":"⋰*⋻-50⫁⪎⋰*⋻3003=⋰*⋻-3053","layer":2},{"info":"⋰*⋻4878⨔≚≋⋰*⋻-3053=⋰*⋻7465","layer":1},{"info":"⋰*⋻0↙⋰*⋻7465=⋰*⋻0","layer":0}]}
{"id":533,"expression_no_base_symbol":"∨∊⋏(($1210$⫸⇳$1402$%(⨡↴$2923$))⫁(($1081$⫔⩽⩺$4239$)≃($1143$⊅)))","expression":"∨∊⋏((⋰*⋻A00⫸⇳⋰*⋻1065%(⨡↴⋰*⋻2218))⫁((⋰*⋻8A3⫔⩽⩺⋰*⋻3204)≃(⋰*⋻94A⊅)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":372,"operation_count":8,"complexity_ratio":46.5,"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":1210,"base":11},"right_expr":{"type":"numeric_atoms","value":1402,"base":11}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2923,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":4239,"base":11}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1143,"base":11}}}}},"used_operators":["R5aXW34M0v","0ajvFaJAv0","k8jYdgA6NY","gx7XJ7hdpj","liw5iZPkLH","YbVcJGFEVW","i9eR4S00cU","7p6YLioM7f"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","P8v4zCKN1o","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Tw270M8GLb","fu6greOZ01","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U"],"result":"⋰*⋻2467","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1402, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2923","layer":4},{"info":"compute unary expreesion, input=2923, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3972","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3972, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1081","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=4239, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=656","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=656, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=3219","layer":0}],"base":11,"result_base":11,"text":"∨∊⋏((⋰*⋻A00⫸⇳⋰*⋻1065%(⨡↴⋰*⋻2218))⫁((⋰*⋻8A3⫔⩽⩺⋰*⋻3204)≃(⋰*⋻94A⊅)))=⋰*⋻2467","reverse_text":"⋰*⋻2467=∨∊⋏((⋰*⋻A00⫸⇳⋰*⋻1065%(⨡↴⋰*⋻2218))⫁((⋰*⋻8A3⫔⩽⩺⋰*⋻3204)≃(⋰*⋻94A⊅)))","cot":[{"info":"⋰*⋻A00⫸⇳⋰*⋻1065=⋰*⋻0","layer":3},{"info":"⨡↴⋰*⋻2218=⋰*⋻2A91","layer":3},{"info":"⋰*⋻0%⋰*⋻2A91=⋰*⋻0","layer":2},{"info":"⋰*⋻8A3⫔⩽⩺⋰*⋻3204=NaN","layer":3},{"info":"⋰*⋻94A⊅=⋰*⋻-149","layer":3},{"info":"NaN≃⋰*⋻-149=⋰*⋻547","layer":2},{"info":"⋰*⋻0⫁⋰*⋻547=⋰*⋻136","layer":1},{"info":"∨∊⋏⋰*⋻136=⋰*⋻2467","layer":0}]}
{"id":534,"expression_no_base_symbol":"(⇖⫷⫕(⨵($6035$⨔⇊$2354$)))⩚⊴⇥(⫯(($2506$∲⫓$1193$)⪎↠$5930$∓⋝$1853$))","expression":"(⇖⫷⫕(⨵(⋰*⋻4597⨔⇊⋰*⋻1850)))⩚⊴⇥(⫯((⋰*⋻1979∲⫓⋰*⋻995)⪎↠⋰*⋻4501∓⋝⋰*⋻1435))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1234,"operation_count":8,"complexity_ratio":154.25,"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":6035,"base":11},"right_expr":{"type":"numeric_atoms","value":2354,"base":11}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2506,"base":11},"right_expr":{"type":"numeric_atoms","value":1193,"base":11}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5930,"base":11},"right_expr":{"type":"numeric_atoms","value":1853,"base":11}}}}},"used_operators":["NTOWxs364D","UHmRx3INFg","Tl3Y52tvF8","JclMnS0uGI","H6BK1Evt7c","3tVxb0NHM4","i8ToyICDmI","PoHhknlbAi"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⋰*⋻13083","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6035","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=6035, right_input=2354, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2354","layer":3},{"info":"compute unary expreesion, input=2354, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-20041","layer":2},{"info":"compute unary expreesion, input=-20041, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=2506","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=1193, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5930","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=5930, right_input=1853, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-21668","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-21668, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=18725","layer":0}],"base":11,"result_base":11,"text":"(⇖⫷⫕(⨵(⋰*⋻4597⨔⇊⋰*⋻1850)))⩚⊴⇥(⫯((⋰*⋻1979∲⫓⋰*⋻995)⪎↠⋰*⋻4501∓⋝⋰*⋻1435))=⋰*⋻13083","reverse_text":"⋰*⋻13083=(⇖⫷⫕(⨵(⋰*⋻4597⨔⇊⋰*⋻1850)))⩚⊴⇥(⫯((⋰*⋻1979∲⫓⋰*⋻995)⪎↠⋰*⋻4501∓⋝⋰*⋻1435))","cot":[{"info":"⋰*⋻4597⨔⇊⋰*⋻1850=⋰*⋻1850","layer":3},{"info":"⨵⋰*⋻1850=⋰*⋻-1406A","layer":2},{"info":"⇖⫷⫕⋰*⋻-1406A=⋰*⋻2136","layer":1},{"info":"⋰*⋻1979∲⫓⋰*⋻995=⋰*⋻0","layer":3},{"info":"⋰*⋻4501∓⋝⋰*⋻1435=⋰*⋻61","layer":3},{"info":"⋰*⋻0⪎↠⋰*⋻61=⋰*⋻71A","layer":2},{"info":"⫯⋰*⋻71A=⋰*⋻-15309","layer":1},{"info":"⋰*⋻2136⩚⊴⇥⋰*⋻-15309=⋰*⋻13083","layer":0}]}
{"id":535,"expression_no_base_symbol":"((⇨$1168$)⊋≦⊧(⨮↦↱$1521$)⋻⩜⩜$2186$⪒⊣⊆$4024$⨚$1552$≹⇙⪍$1572$)≑≱⪘","expression":"((⇨⋰*⋻972)⊋≦⊧(⨮↦↱⋰*⋻1163)⋻⩜⩜⋰*⋻1708⪒⊣⊆⋰*⋻3029⨚⋰*⋻1191≹⇙⪍⋰*⋻11AA)≑≱⪘","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1951,"operation_count":8,"complexity_ratio":243.875,"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":1168,"base":11}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1521,"base":11}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2186,"base":11},"right_expr":{"type":"numeric_atoms","value":4024,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1552,"base":11},"right_expr":{"type":"numeric_atoms","value":1572,"base":11}}}}},"used_operators":["tGSeddj7UK","oDCm7WA9JY","oRDoc9rAEX","G9tJMlZ94a","sYcpBQ0cFf","nREPSIbpBE","eRqsBgTDFp","AHs5Up7iyr"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","k8jYdgA6NY","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","BjRHVeLaeN","12rbrZMWeM","sdazOOVcIp","W4YGzv6Whe","dWAJyo7jo9"],"result":"⋰*⋻-1098A39","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1521","layer":4},{"info":"compute unary expreesion, input=1521, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-3162699","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3162699, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=2186","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=4024, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4372","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1572, 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=4372, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=384","layer":1},{"info":"compute unary expreesion, input=384, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=-1915230","layer":0}],"base":11,"result_base":11,"text":"((⇨⋰*⋻972)⊋≦⊧(⨮↦↱⋰*⋻1163)⋻⩜⩜⋰*⋻1708⪒⊣⊆⋰*⋻3029⨚⋰*⋻1191≹⇙⪍⋰*⋻11AA)≑≱⪘=⋰*⋻-1098A39","reverse_text":"⋰*⋻-1098A39=((⇨⋰*⋻972)⊋≦⊧(⨮↦↱⋰*⋻1163)⋻⩜⩜⋰*⋻1708⪒⊣⊆⋰*⋻3029⨚⋰*⋻1191≹⇙⪍⋰*⋻11AA)≑≱⪘","cot":[{"info":"⇨⋰*⋻972=⋰*⋻0","layer":3},{"info":"⨮↦↱⋰*⋻1163=⋰*⋻-1870201","layer":3},{"info":"⋰*⋻0⊋≦⊧⋰*⋻-1870201=⋰*⋻165","layer":2},{"info":"⋰*⋻1708⪒⊣⊆⋰*⋻3029=⋰*⋻3315","layer":3},{"info":"⋰*⋻1191≹⇙⪍⋰*⋻11AA=NaN","layer":3},{"info":"⋰*⋻3315⨚NaN=NaN","layer":2},{"info":"⋰*⋻165⋻⩜⩜NaN=⋰*⋻31A","layer":1},{"info":"⋰*⋻31A≑≱⪘=⋰*⋻-1098A39","layer":0}]}
{"id":536,"expression_no_base_symbol":"(($1509$-$1754$)≳⇉$3695$⪟⇏$1473$⪄($2300$⊔$6972$)⊱⇼⊻($2286$⪶≀⋏$1494$))+⪬∐(($3923$⊭↱$6655$⪨≂$8215$⊋$2677$)⫸⇳($5160$≬⇓$5640$/$1120$∋$1514$))","expression":"((⋰*⋻1152-⋰*⋻1355)≳⇉⋰*⋻285A⪟⇏⋰*⋻111A⪄(⋰*⋻1801⊔⋰*⋻5269)⊱⇼⊻(⋰*⋻1799⪶≀⋏⋰*⋻1139))+⪬∐((⋰*⋻2A47⊭↱⋰*⋻5000⪨≂⋰*⋻6199⊋⋰*⋻2014)⫸⇳(⋰*⋻3971≬⇓⋰*⋻4268/⋰*⋻929∋⋰*⋻1157))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":14862,"operation_count":15,"complexity_ratio":990.8,"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":1509,"base":11},"right_expr":{"type":"numeric_atoms","value":1754,"base":11}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3695,"base":11},"right_expr":{"type":"numeric_atoms","value":1473,"base":11}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2300,"base":11},"right_expr":{"type":"numeric_atoms","value":6972,"base":11}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2286,"base":11},"right_expr":{"type":"numeric_atoms","value":1494,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3923,"base":11},"right_expr":{"type":"numeric_atoms","value":6655,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":8215,"base":11},"right_expr":{"type":"numeric_atoms","value":2677,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5160,"base":11},"right_expr":{"type":"numeric_atoms","value":5640,"base":11}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1120,"base":11},"right_expr":{"type":"numeric_atoms","value":1514,"base":11}}}}},"used_operators":["2GS7woTJqF","SUmda5xLS4","V0kx6qeWkN","rysDP5nf3Z","GODebY97qR","FyVja0WsTP","E4l6HwMY31","zR4jO40bMj","gx7XJ7hdpj","sdazOOVcIp","COABgblf1C","W4tP9CfskL","XhwjNDsVaA","jWTQ2TZYIH","ukq6epAj5P"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"⋰*⋻147A3A4","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1509","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1754, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-245","layer":3},{"info":"number node, value=3695","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=1473, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-245, right_input=-1, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=1647","layer":2},{"info":"number node, value=2300","layer":4},{"info":"number node, value=6972","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=6972, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=37060","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1494, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10078","layer":3},{"info":"compute binary expreesion, left_input=37060, right_input=-10078, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=151042","layer":2},{"info":"compute binary expreesion, left_input=1647, right_input=151042, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-844013","layer":1},{"info":"number node, value=3923","layer":4},{"info":"number node, value=6655","layer":4},{"info":"compute binary expreesion, left_input=3923, right_input=6655, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5469","layer":3},{"info":"number node, value=8215","layer":4},{"info":"number node, value=2677","layer":4},{"info":"compute binary expreesion, left_input=8215, right_input=2677, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=115845444","layer":3},{"info":"compute binary expreesion, left_input=5469, right_input=115845444, 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=-231679848","layer":2},{"info":"number node, value=5160","layer":4},{"info":"number node, value=5640","layer":4},{"info":"compute binary expreesion, left_input=5160, right_input=5640, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=1514, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3141576","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=3141576, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-231679848, right_input=-1, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-844013, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=2532039","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1152-⋰*⋻1355)≳⇉⋰*⋻285A⪟⇏⋰*⋻111A⪄(⋰*⋻1801⊔⋰*⋻5269)⊱⇼⊻(⋰*⋻1799⪶≀⋏⋰*⋻1139))+⪬∐((⋰*⋻2A47⊭↱⋰*⋻5000⪨≂⋰*⋻6199⊋⋰*⋻2014)⫸⇳(⋰*⋻3971≬⇓⋰*⋻4268/⋰*⋻929∋⋰*⋻1157))=⋰*⋻147A3A4","reverse_text":"⋰*⋻147A3A4=((⋰*⋻1152-⋰*⋻1355)≳⇉⋰*⋻285A⪟⇏⋰*⋻111A⪄(⋰*⋻1801⊔⋰*⋻5269)⊱⇼⊻(⋰*⋻1799⪶≀⋏⋰*⋻1139))+⪬∐((⋰*⋻2A47⊭↱⋰*⋻5000⪨≂⋰*⋻6199⊋⋰*⋻2014)⫸⇳(⋰*⋻3971≬⇓⋰*⋻4268/⋰*⋻929∋⋰*⋻1157))","cot":[{"info":"⋰*⋻1152-⋰*⋻1355=⋰*⋻-203","layer":3},{"info":"⋰*⋻285A⪟⇏⋰*⋻111A=⋰*⋻-1","layer":3},{"info":"⋰*⋻-203≳⇉⋰*⋻-1=⋰*⋻1268","layer":2},{"info":"⋰*⋻1801⊔⋰*⋻5269=⋰*⋻25931","layer":3},{"info":"⋰*⋻1799⪶≀⋏⋰*⋻1139=⋰*⋻-7632","layer":3},{"info":"⋰*⋻25931⊱⇼⊻⋰*⋻-7632=⋰*⋻A3531","layer":2},{"info":"⋰*⋻1268⪄⋰*⋻A3531=⋰*⋻-527135","layer":1},{"info":"⋰*⋻2A47⊭↱⋰*⋻5000=⋰*⋻4122","layer":3},{"info":"⋰*⋻6199⊋⋰*⋻2014=⋰*⋻5A434440","layer":3},{"info":"⋰*⋻4122⪨≂⋰*⋻5A434440=⋰*⋻-109860554","layer":2},{"info":"⋰*⋻3971≬⇓⋰*⋻4268=⋰*⋻-20","layer":3},{"info":"⋰*⋻929∋⋰*⋻1157=⋰*⋻1856349","layer":3},{"info":"⋰*⋻-20/⋰*⋻1856349=⋰*⋻-1","layer":2},{"info":"⋰*⋻-109860554⫸⇳⋰*⋻-1=⋰*⋻0","layer":1},{"info":"⋰*⋻-527135+⪬∐⋰*⋻0=⋰*⋻147A3A4","layer":0}]}
{"id":537,"expression_no_base_symbol":"(⨵≀≌($7529$⋭≵$2153$)⨳⩥⨓$2237$⊬⨰$2241$)⪥⨬⪅","expression":"(⨵≀≌(⋰*⋻5725⋭≵⋰*⋻1688)⨳⩥⨓⋰*⋻1754⊬⨰⋰*⋻1758)⪥⨬⪅","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":612,"operation_count":5,"complexity_ratio":122.4,"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":7529,"base":11},"right_expr":{"type":"numeric_atoms","value":2153,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2237,"base":11},"right_expr":{"type":"numeric_atoms","value":2241,"base":11}}}}},"used_operators":["zNRQejTB5A","srAu1WTS94","nCS4ZIUYfx","jBncVCNhdl","s3Fd5m9Dh2"],"dependent_operators":["d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻-3A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7529","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=7529, right_input=2153, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2237","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=2241, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=10145","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=10145, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=10078","layer":2},{"info":"compute unary expreesion, input=10078, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-30234","layer":1},{"info":"compute unary expreesion, input=-30234, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":0}],"base":11,"result_base":11,"text":"(⨵≀≌(⋰*⋻5725⋭≵⋰*⋻1688)⨳⩥⨓⋰*⋻1754⊬⨰⋰*⋻1758)⪥⨬⪅=⋰*⋻-3A0","reverse_text":"⋰*⋻-3A0=(⨵≀≌(⋰*⋻5725⋭≵⋰*⋻1688)⨳⩥⨓⋰*⋻1754⊬⨰⋰*⋻1758)⪥⨬⪅","cot":[{"info":"⋰*⋻5725⋭≵⋰*⋻1688=⋰*⋻61","layer":3},{"info":"⋰*⋻1754⊬⨰⋰*⋻1758=⋰*⋻7693","layer":3},{"info":"⋰*⋻61⨳⩥⨓⋰*⋻7693=⋰*⋻7632","layer":2},{"info":"⨵≀≌⋰*⋻7632=⋰*⋻-20796","layer":1},{"info":"⋰*⋻-20796⪥⨬⪅=⋰*⋻-3A0","layer":0}]}
{"id":538,"expression_no_base_symbol":"⋠∜($8615$⊴$5516$≬⋮($2301$∪⫐$1582$)⊾⪯⋞($2325$⊾⪯⋞$3399$)⪮%⊝($1964$⇼⇔∾$1492$))","expression":"⋠∜(⋰*⋻6522⊴⋰*⋻4165≬⋮(⋰*⋻1802∪⫐⋰*⋻1209)⊾⪯⋞(⋰*⋻1824⊾⪯⋞⋰*⋻2610)⪮%⊝(⋰*⋻1526⇼⇔∾⋰*⋻1137))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7917,"operation_count":8,"complexity_ratio":989.625,"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":8615,"base":11},"right_expr":{"type":"numeric_atoms","value":5516,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2301,"base":11},"right_expr":{"type":"numeric_atoms","value":1582,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2325,"base":11},"right_expr":{"type":"numeric_atoms","value":3399,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1964,"base":11},"right_expr":{"type":"numeric_atoms","value":1492,"base":11}}}}},"used_operators":["ZJpFhNJr3x","HK0tfVPux8","kbkesczE7y","Nsiff2A1zJ","7YooWSwCyH","IWmyXbctLI","tifHPKVTfV"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻71A2A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8615","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=8615, right_input=5516, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2301","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=1582, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2301","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2301, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=2325","layer":4},{"info":"number node, value=3399","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=3399, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6372","layer":3},{"info":"number node, value=1964","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=1492, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-472","layer":3},{"info":"compute binary expreesion, left_input=6372, right_input=-472, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13060","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=13060, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=25694","layer":1},{"info":"compute unary expreesion, input=25694, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=105060","layer":0}],"base":11,"result_base":11,"text":"⋠∜(⋰*⋻6522⊴⋰*⋻4165≬⋮(⋰*⋻1802∪⫐⋰*⋻1209)⊾⪯⋞(⋰*⋻1824⊾⪯⋞⋰*⋻2610)⪮%⊝(⋰*⋻1526⇼⇔∾⋰*⋻1137))=⋰*⋻71A2A","reverse_text":"⋰*⋻71A2A=⋠∜(⋰*⋻6522⊴⋰*⋻4165≬⋮(⋰*⋻1802∪⫐⋰*⋻1209)⊾⪯⋞(⋰*⋻1824⊾⪯⋞⋰*⋻2610)⪮%⊝(⋰*⋻1526⇼⇔∾⋰*⋻1137))","cot":[{"info":"⋰*⋻6522⊴⋰*⋻4165=NaN","layer":3},{"info":"⋰*⋻1802∪⫐⋰*⋻1209=⋰*⋻1802","layer":3},{"info":"NaN≬⋮⋰*⋻1802=⋰*⋻71A","layer":2},{"info":"⋰*⋻1824⊾⪯⋞⋰*⋻2610=⋰*⋻4873","layer":3},{"info":"⋰*⋻1526⇼⇔∾⋰*⋻1137=⋰*⋻-39A","layer":3},{"info":"⋰*⋻4873⪮%⊝⋰*⋻-39A=⋰*⋻98A3","layer":2},{"info":"⋰*⋻71A⊾⪯⋞⋰*⋻98A3=⋰*⋻18339","layer":1},{"info":"⋠∜⋰*⋻18339=⋰*⋻71A2A","layer":0}]}
{"id":539,"expression_no_base_symbol":"(($3908$⇞)⩵∡(⇾⩊⇾$1692$))↹⊜(⫶⊄≣($7648$⋫))⫘(⋣($3715$⇯⋐)⪬($1249$≁↽≥$1417$))","expression":"((⋰*⋻2A33⇞)⩵∡(⇾⩊⇾⋰*⋻12A9))↹⊜(⫶⊄≣(⋰*⋻5823⋫))⫘(⋣(⋰*⋻2878⇯⋐)⪬(⋰*⋻A36≁↽≥⋰*⋻1079))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16236,"operation_count":11,"complexity_ratio":1476.0,"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":3908,"base":11}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1692,"base":11}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7648,"base":11}}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":3715,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1249,"base":11},"right_expr":{"type":"numeric_atoms","value":1417,"base":11}}}}},"used_operators":["48vC8HMD2b","9bazX3JMtO","Y7wcNGrDQJ","5JYyxRJd4f","bx9Z9DAK5y","wxb3vTeyAj","JL8yIekQnl","zQWRhDnn8F","Ez1Nq5fNfI","LkLIoiE525","ncHt1X6cMc"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","tmPS8pqC7x","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3908","layer":4},{"info":"compute unary expreesion, input=3908, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=15545","layer":3},{"info":"number node, value=1692","layer":4},{"info":"compute unary expreesion, input=1692, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-21714","layer":3},{"info":"compute binary expreesion, left_input=15545, right_input=-21714, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-52925","layer":2},{"info":"number node, value=7648","layer":4},{"info":"compute unary expreesion, input=7648, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7648","layer":3},{"info":"compute unary expreesion, input=7648, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=1052988625","layer":2},{"info":"compute binary expreesion, left_input=-52925, right_input=1052988625, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-inf","layer":1},{"info":"number node, value=3715","layer":4},{"info":"compute unary expreesion, input=3715, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=12023","layer":3},{"info":"number node, value=1249","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=1417, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=23247","layer":3},{"info":"compute binary expreesion, left_input=12023, right_input=23247, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-362701","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-362701, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2A33⇞)⩵∡(⇾⩊⇾⋰*⋻12A9))↹⊜(⫶⊄≣(⋰*⋻5823⋫))⫘(⋣(⋰*⋻2878⇯⋐)⪬(⋰*⋻A36≁↽≥⋰*⋻1079))=NaN","reverse_text":"NaN=((⋰*⋻2A33⇞)⩵∡(⇾⩊⇾⋰*⋻12A9))↹⊜(⫶⊄≣(⋰*⋻5823⋫))⫘(⋣(⋰*⋻2878⇯⋐)⪬(⋰*⋻A36≁↽≥⋰*⋻1079))","cot":[{"info":"⋰*⋻2A33⇞=⋰*⋻10752","layer":3},{"info":"⇾⩊⇾⋰*⋻12A9=⋰*⋻-15350","layer":3},{"info":"⋰*⋻10752⩵∡⋰*⋻-15350=⋰*⋻-36844","layer":2},{"info":"⋰*⋻5823⋫=⋰*⋻5823","layer":3},{"info":"⫶⊄≣⋰*⋻5823=⋰*⋻4A0425A37","layer":2},{"info":"⋰*⋻-36844↹⊜⋰*⋻4A0425A37=-Inf","layer":1},{"info":"⋰*⋻2878⇯⋐=⋰*⋻9040","layer":3},{"info":"⋰*⋻A36≁↽≥⋰*⋻1079=⋰*⋻16514","layer":3},{"info":"⋰*⋻9040⪬⋰*⋻16514=⋰*⋻A22","layer":2},{"info":"⋣⋰*⋻A22=⋰*⋻-228559","layer":1},{"info":"-Inf⫘⋰*⋻-228559=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"(↑(($2151$⋖∅⋲)⋛($1933$↯⫤)))⩘((($4113$↓⨍⋜)⊹∫⫚($6396$⫥∨⫟$1279$))≒∊(($1912$≓∲$2676$)∝$1997$⨭⪣$2838$))","expression":"(↑((⋰*⋻1686⋖∅⋲)⋛(⋰*⋻14A8↯⫤)))⩘(((⋰*⋻30AA↓⨍⋜)⊹∫⫚(⋰*⋻4895⫥∨⫟⋰*⋻A63))≒∊((⋰*⋻1489≓∲⋰*⋻2013)∝⋰*⋻1556⨭⪣⋰*⋻2150))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1111,"operation_count":12,"complexity_ratio":92.58333333333333,"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":2151,"base":11}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1933,"base":11}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":4113,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6396,"base":11},"right_expr":{"type":"numeric_atoms","value":1279,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1912,"base":11},"right_expr":{"type":"numeric_atoms","value":2676,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1997,"base":11},"right_expr":{"type":"numeric_atoms","value":2838,"base":11}}}}},"used_operators":["cHh1gJQ2o6","tR7O2zTn5j","YbUVn0Rbpy","L95AwlJzhO","VwlE7vj6HS","5KTvxBwnZo","uWAJUKEvyW","3DVzLFNsE9","KYD54nUTWz","cTDWOvIxvz","s1XTVnmDOJ","kn8WO9XteQ"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","8HhzD0ZcuI","rGHVDoGpnC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=1933","layer":4},{"info":"compute unary expreesion, input=1933, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=0, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-133791","layer":2},{"info":"compute unary expreesion, input=-133791, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=4113","layer":4},{"info":"compute unary expreesion, input=4113, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=6396","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=6396, right_input=1279, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"number node, value=1912","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=2676, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=19903","layer":3},{"info":"number node, value=1997","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=2838, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=718","layer":3},{"info":"compute binary expreesion, left_input=19903, right_input=718, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=19908","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19908, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":11,"result_base":11,"text":"(↑((⋰*⋻1686⋖∅⋲)⋛(⋰*⋻14A8↯⫤)))⩘(((⋰*⋻30AA↓⨍⋜)⊹∫⫚(⋰*⋻4895⫥∨⫟⋰*⋻A63))≒∊((⋰*⋻1489≓∲⋰*⋻2013)∝⋰*⋻1556⨭⪣⋰*⋻2150))=⋰*⋻136","reverse_text":"⋰*⋻136=(↑((⋰*⋻1686⋖∅⋲)⋛(⋰*⋻14A8↯⫤)))⩘(((⋰*⋻30AA↓⨍⋜)⊹∫⫚(⋰*⋻4895⫥∨⫟⋰*⋻A63))≒∊((⋰*⋻1489≓∲⋰*⋻2013)∝⋰*⋻1556⨭⪣⋰*⋻2150))","cot":[{"info":"⋰*⋻1686⋖∅⋲=⋰*⋻-242751","layer":3},{"info":"⋰*⋻14A8↯⫤=⋰*⋻0","layer":3},{"info":"⋰*⋻-242751⋛⋰*⋻0=⋰*⋻-91579","layer":2},{"info":"↑⋰*⋻-91579=⋰*⋻165","layer":1},{"info":"⋰*⋻30AA↓⨍⋜=⋰*⋻4A51","layer":3},{"info":"⋰*⋻4895⫥∨⫟⋰*⋻A63=NaN","layer":3},{"info":"⋰*⋻4A51⊹∫⫚NaN=NaN","layer":2},{"info":"⋰*⋻1489≓∲⋰*⋻2013=⋰*⋻13A54","layer":3},{"info":"⋰*⋻1556⨭⪣⋰*⋻2150=⋰*⋻5A3","layer":3},{"info":"⋰*⋻13A54∝⋰*⋻5A3=⋰*⋻13A59","layer":2},{"info":"NaN≒∊⋰*⋻13A59=NaN","layer":1},{"info":"⋰*⋻165⩘NaN=⋰*⋻136","layer":0}]}
{"id":541,"expression_no_base_symbol":"($2310$⇍⊗$8754$∼$6825$≝⊿$1444$⨭⪣(↯⪼$6494$)⨂≜(↡$2101$))⇉⇱⇎","expression":"(⋰*⋻1810⇍⊗⋰*⋻6639∼⋰*⋻5145≝⊿⋰*⋻10A3⨭⪣(↯⪼⋰*⋻4974)⨂≜(↡⋰*⋻1640))⇉⇱⇎","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":251,"operation_count":8,"complexity_ratio":31.375,"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":2310,"base":11},"right_expr":{"type":"numeric_atoms","value":8754,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":6825,"base":11},"right_expr":{"type":"numeric_atoms","value":1444,"base":11}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6494,"base":11}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2101,"base":11}}}}},"used_operators":["MRPaB8lBjK","kn8WO9XteQ","DyGG3AbaNP","5uvYHDjeKN","OKKcZfAt5B","k1SHOSEABc","8jW3W4yZS5","MXaNJeIAZ3"],"dependent_operators":["XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","12rbrZMWeM","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⋰*⋻8","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2310","layer":4},{"info":"number node, value=8754","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=8754, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=6825","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=6825, right_input=1444, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10246","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-10246, 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=6494","layer":4},{"info":"compute unary expreesion, input=6494, 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=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=18909","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=18909, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=8","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1810⇍⊗⋰*⋻6639∼⋰*⋻5145≝⊿⋰*⋻10A3⨭⪣(↯⪼⋰*⋻4974)⨂≜(↡⋰*⋻1640))⇉⇱⇎=⋰*⋻8","reverse_text":"⋰*⋻8=(⋰*⋻1810⇍⊗⋰*⋻6639∼⋰*⋻5145≝⊿⋰*⋻10A3⨭⪣(↯⪼⋰*⋻4974)⨂≜(↡⋰*⋻1640))⇉⇱⇎","cot":[{"info":"⋰*⋻1810⇍⊗⋰*⋻6639=⋰*⋻-202","layer":3},{"info":"⋰*⋻5145≝⊿⋰*⋻10A3=⋰*⋻-7775","layer":3},{"info":"⋰*⋻-202∼⋰*⋻-7775=NaN","layer":2},{"info":"↯⪼⋰*⋻4974=⋰*⋻-1A","layer":3},{"info":"↡⋰*⋻1640=⋰*⋻13230","layer":3},{"info":"⋰*⋻-1A⨂≜⋰*⋻13230=NaN","layer":2},{"info":"NaN⨭⪣NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻-1A⇉⇱⇎=⋰*⋻8","layer":0}]}
{"id":542,"expression_no_base_symbol":"(($2460$⨻⩈⩔$3353$⨎($1745$∽$7015$))⩌⋺($6147$⋥≓≎$1249$)⇂≾⫗($7413$≳⇉$5801$))⇤((↩⪖$1100$)∛(⨮↦↱$1625$))⊕∕(($5413$⊉≛↸$7824$)⪛⫼($2210$∽$4448$))","expression":"((⋰*⋻1937⨻⩈⩔⋰*⋻2579⨎(⋰*⋻1347∽⋰*⋻52A8))⩌⋺(⋰*⋻4689⋥≓≎⋰*⋻A36)⇂≾⫗(⋰*⋻562A≳⇉⋰*⋻43A4))⇤((↩⪖⋰*⋻910)∛(⨮↦↱⋰*⋻1248))⊕∕((⋰*⋻4081⊉≛↸⋰*⋻5973)⪛⫼(⋰*⋻172A∽⋰*⋻3384))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":304871974,"operation_count":15,"complexity_ratio":20324798.266666666,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2460,"base":11},"right_expr":{"type":"numeric_atoms","value":3353,"base":11}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1745,"base":11},"right_expr":{"type":"numeric_atoms","value":7015,"base":11}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6147,"base":11},"right_expr":{"type":"numeric_atoms","value":1249,"base":11}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":7413,"base":11},"right_expr":{"type":"numeric_atoms","value":5801,"base":11}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1100,"base":11}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1625,"base":11}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5413,"base":11},"right_expr":{"type":"numeric_atoms","value":7824,"base":11}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2210,"base":11},"right_expr":{"type":"numeric_atoms","value":4448,"base":11}}}}},"used_operators":["YSKBFp38Pu","g7Hmc5v1ko","rJVOvQCfKK","nEsXyWgiOK","y4ImoPnbV5","aBQ6xLxuTc","Qy55tPpLXF","V0kx6qeWkN","9cloC0Ngie","w2537kitQq","fG6uBQFnGz","sYcpBQ0cFf","hyuBjUqXlG","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","NTOWxs364D","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2460","layer":4},{"info":"number node, value=3353","layer":4},{"info":"compute binary expreesion, left_input=2460, right_input=3353, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=11279","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=7015","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=7015, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-29592","layer":3},{"info":"compute binary expreesion, left_input=11279, right_input=-29592, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-29592","layer":2},{"info":"number node, value=6147","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=6147, right_input=1249, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3616","layer":3},{"info":"number node, value=7413","layer":4},{"info":"number node, value=5801","layer":4},{"info":"compute binary expreesion, left_input=7413, right_input=5801, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3616, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-29592, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-9582","layer":3},{"info":"number node, value=1625","layer":4},{"info":"compute unary expreesion, input=1625, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-3837867","layer":3},{"info":"compute binary expreesion, left_input=-9582, right_input=-3837867, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=5413","layer":4},{"info":"number node, value=7824","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=7824, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10826","layer":3},{"info":"number node, value=2210","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=4448, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-24216","layer":3},{"info":"compute binary expreesion, left_input=10826, right_input=-24216, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1105","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1105, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1937⨻⩈⩔⋰*⋻2579⨎(⋰*⋻1347∽⋰*⋻52A8))⩌⋺(⋰*⋻4689⋥≓≎⋰*⋻A36)⇂≾⫗(⋰*⋻562A≳⇉⋰*⋻43A4))⇤((↩⪖⋰*⋻910)∛(⨮↦↱⋰*⋻1248))⊕∕((⋰*⋻4081⊉≛↸⋰*⋻5973)⪛⫼(⋰*⋻172A∽⋰*⋻3384))=NaN","reverse_text":"NaN=((⋰*⋻1937⨻⩈⩔⋰*⋻2579⨎(⋰*⋻1347∽⋰*⋻52A8))⩌⋺(⋰*⋻4689⋥≓≎⋰*⋻A36)⇂≾⫗(⋰*⋻562A≳⇉⋰*⋻43A4))⇤((↩⪖⋰*⋻910)∛(⨮↦↱⋰*⋻1248))⊕∕((⋰*⋻4081⊉≛↸⋰*⋻5973)⪛⫼(⋰*⋻172A∽⋰*⋻3384))","cot":[{"info":"⋰*⋻1937⨻⩈⩔⋰*⋻2579=⋰*⋻8524","layer":3},{"info":"⋰*⋻1347∽⋰*⋻52A8=⋰*⋻-20262","layer":3},{"info":"⋰*⋻8524⨎⋰*⋻-20262=⋰*⋻-20262","layer":2},{"info":"⋰*⋻4689⋥≓≎⋰*⋻A36=⋰*⋻-2798","layer":3},{"info":"⋰*⋻562A≳⇉⋰*⋻43A4=NaN","layer":3},{"info":"⋰*⋻-2798⇂≾⫗NaN=NaN","layer":2},{"info":"⋰*⋻-20262⩌⋺NaN=NaN","layer":1},{"info":"↩⪖⋰*⋻910=⋰*⋻-7221","layer":3},{"info":"⨮↦↱⋰*⋻1248=⋰*⋻-21914A0","layer":3},{"info":"⋰*⋻-7221∛⋰*⋻-21914A0=⋰*⋻61","layer":2},{"info":"⋰*⋻4081⊉≛↸⋰*⋻5973=⋰*⋻8152","layer":3},{"info":"⋰*⋻172A∽⋰*⋻3384=⋰*⋻-17215","layer":3},{"info":"⋰*⋻8152⪛⫼⋰*⋻-17215=⋰*⋻-915","layer":2},{"info":"⋰*⋻61⊕∕⋰*⋻-915=⋰*⋻61","layer":1},{"info":"NaN⇤⋰*⋻61=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"$7366$⇷$1498$⇴($6152$⪇≇⋚$2556$)⇌⫙⪟(⨑⩽⪐$6789$∝$1248$)⪶≀⋏(≉(⋎⨆(⇙⪊$6855$)))","expression":"⋰*⋻5597⇷⋰*⋻1142⇴(⋰*⋻4693⪇≇⋚⋰*⋻1A14)⇌⫙⪟(⨑⩽⪐⋰*⋻5112∝⋰*⋻A35)⪶≀⋏(≉(⋎⨆(⇙⪊⋰*⋻5172)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":103246,"operation_count":10,"complexity_ratio":10324.6,"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":7366,"base":11},"right_expr":{"type":"numeric_atoms","value":1498,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6152,"base":11},"right_expr":{"type":"numeric_atoms","value":2556,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":6789,"base":11},"right_expr":{"type":"numeric_atoms","value":1248,"base":11}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":6855,"base":11}}}}},"used_operators":["zR4jO40bMj","AFVx7xoS7T","4JB6nKBMSY","mp7IySMOzn","3sJ7IOPOlU","AF7qkfDlqP","cTDWOvIxvz","e1ybzncUwg","E64sFOc4tB","pB6Fcnrjim"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"⋰*⋻3212","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7366","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=7366, right_input=1498, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2996","layer":3},{"info":"number node, value=6152","layer":4},{"info":"number node, value=2556","layer":4},{"info":"compute binary expreesion, left_input=6152, right_input=2556, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2996, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=17590","layer":2},{"info":"number node, value=6789","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=6789, right_input=1248, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6794","layer":3},{"info":"compute unary expreesion, input=6794, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6521","layer":2},{"info":"compute binary expreesion, left_input=17590, right_input=-6521, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=-2539","layer":1},{"info":"number node, value=6855","layer":4},{"info":"compute unary expreesion, input=6855, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"compute binary expreesion, left_input=-2539, right_input=531, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=4248","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻5597⇷⋰*⋻1142⇴(⋰*⋻4693⪇≇⋚⋰*⋻1A14)⇌⫙⪟(⨑⩽⪐⋰*⋻5112∝⋰*⋻A35)⪶≀⋏(≉(⋎⨆(⇙⪊⋰*⋻5172)))=⋰*⋻3212","reverse_text":"⋰*⋻3212=⋰*⋻5597⇷⋰*⋻1142⇴(⋰*⋻4693⪇≇⋚⋰*⋻1A14)⇌⫙⪟(⨑⩽⪐⋰*⋻5112∝⋰*⋻A35)⪶≀⋏(≉(⋎⨆(⇙⪊⋰*⋻5172)))","cot":[{"info":"⋰*⋻5597⇷⋰*⋻1142=⋰*⋻2284","layer":3},{"info":"⋰*⋻4693⪇≇⋚⋰*⋻1A14=⋰*⋻0","layer":3},{"info":"⋰*⋻2284⇴⋰*⋻0=⋰*⋻12241","layer":2},{"info":"⋰*⋻5112∝⋰*⋻A35=⋰*⋻5117","layer":3},{"info":"⨑⩽⪐⋰*⋻5117=⋰*⋻-4999","layer":2},{"info":"⋰*⋻12241⇌⫙⪟⋰*⋻-4999=⋰*⋻-19A9","layer":1},{"info":"⇙⪊⋰*⋻5172=⋰*⋻0","layer":3},{"info":"⋎⨆⋰*⋻0=⋰*⋻0","layer":2},{"info":"≉⋰*⋻0=⋰*⋻443","layer":1},{"info":"⋰*⋻-19A9⪶≀⋏⋰*⋻443=⋰*⋻3212","layer":0}]}
{"id":544,"expression_no_base_symbol":"⇨((≛$1553$≓∲$2921$)⇴∐($5844$+$1438$)∌↝($1945$⇋≉))","expression":"⇨((≛⋰*⋻1192≓∲⋰*⋻2216)⇴∐(⋰*⋻4433+⋰*⋻1098)∌↝(⋰*⋻1509⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":120,"operation_count":7,"complexity_ratio":17.142857142857142,"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":1553,"base":11},"right_expr":{"type":"numeric_atoms","value":2921,"base":11}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5844,"base":11},"right_expr":{"type":"numeric_atoms","value":1438,"base":11}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1945,"base":11}}}}},"used_operators":["G9tJMlZ94a","HnzytWxmAO","W7eaUhjymW","s1XTVnmDOJ","9Isq31Ruls","W4YGzv6Whe","XIabStNQrY"],"dependent_operators":["k8jYdgA6NY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1553","layer":4},{"info":"number node, value=2921","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=2921, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=16313","layer":3},{"info":"compute unary expreesion, input=16313, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"number node, value=5844","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=5844, right_input=1438, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7282","layer":3},{"info":"number node, value=1945","layer":4},{"info":"compute unary expreesion, input=1945, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3792","layer":3},{"info":"compute binary expreesion, left_input=7282, right_input=3792, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-1798","layer":1},{"info":"compute unary expreesion, input=-1798, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⇨((≛⋰*⋻1192≓∲⋰*⋻2216)⇴∐(⋰*⋻4433+⋰*⋻1098)∌↝(⋰*⋻1509⇋≉))=⋰*⋻0","reverse_text":"⋰*⋻0=⇨((≛⋰*⋻1192≓∲⋰*⋻2216)⇴∐(⋰*⋻4433+⋰*⋻1098)∌↝(⋰*⋻1509⇋≉))","cot":[{"info":"⋰*⋻1192≓∲⋰*⋻2216=⋰*⋻11290","layer":3},{"info":"≛⋰*⋻11290=⋰*⋻-A","layer":2},{"info":"⋰*⋻4433+⋰*⋻1098=⋰*⋻5520","layer":3},{"info":"⋰*⋻1509⇋≉=⋰*⋻2938","layer":3},{"info":"⋰*⋻5520∌↝⋰*⋻2938=⋰*⋻0","layer":2},{"info":"⋰*⋻-A⇴∐⋰*⋻0=⋰*⋻-1395","layer":1},{"info":"⇨⋰*⋻-1395=⋰*⋻0","layer":0}]}
{"id":545,"expression_no_base_symbol":"(($4619$⨔⇊$3374$)⫣⪄⊒(⋣$6998$))⨂≜(⪓⩚($1988$≳⇉$5280$))⫞⩸⩒(($1028$∠⫱$7292$⊾⪯⋞$2697$⩺⪪$1908$)⫁⪎($1949$⇤$7243$∝($7250$⊦⊿)))","expression":"((⋰*⋻351A⨔⇊⋰*⋻2598)⫣⪄⊒(⋣⋰*⋻5292))⨂≜(⪓⩚(⋰*⋻1548≳⇉⋰*⋻3A70))⫞⩸⩒((⋰*⋻855∠⫱⋰*⋻552A⊾⪯⋞⋰*⋻2032⩺⪪⋰*⋻1485)⫁⪎(⋰*⋻1512⇤⋰*⋻5495∝(⋰*⋻54A1⊦⊿)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":372186617,"operation_count":14,"complexity_ratio":26584758.35714286,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4619,"base":11},"right_expr":{"type":"numeric_atoms","value":3374,"base":11}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":6998,"base":11}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1988,"base":11},"right_expr":{"type":"numeric_atoms","value":5280,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1028,"base":11},"right_expr":{"type":"numeric_atoms","value":7292,"base":11}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2697,"base":11},"right_expr":{"type":"numeric_atoms","value":1908,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1949,"base":11},"right_expr":{"type":"numeric_atoms","value":7243,"base":11}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7250,"base":11}}}}},"used_operators":["XGcMNugi78","k1SHOSEABc","RabNbG55vr","JclMnS0uGI","zQWRhDnn8F","u0R0Locfp2","V0kx6qeWkN","xRrnTEsQ6j","HK0tfVPux8","QvoQhV0rrE","uvdQJvN4PV","cTDWOvIxvz","YSKBFp38Pu","14qkJME0vr"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4619","layer":4},{"info":"number node, value=3374","layer":4},{"info":"compute binary expreesion, left_input=4619, right_input=3374, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3374","layer":3},{"info":"number node, value=6998","layer":4},{"info":"compute unary expreesion, input=6998, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-2057317","layer":3},{"info":"compute binary expreesion, left_input=3374, right_input=-2057317, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"number node, value=1988","layer":4},{"info":"number node, value=5280","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=5280, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=426, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=1028","layer":4},{"info":"number node, value=7292","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=7292, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2697","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=2697, right_input=1908, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-13522","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-13522, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=1949","layer":4},{"info":"number node, value=7243","layer":4},{"info":"compute binary expreesion, left_input=1949, right_input=7243, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-43112","layer":3},{"info":"number node, value=7250","layer":4},{"info":"compute unary expreesion, input=7250, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-21829","layer":3},{"info":"compute binary expreesion, left_input=-43112, right_input=-21829, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-43107","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=-43107, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=42287","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=42287, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻351A⨔⇊⋰*⋻2598)⫣⪄⊒(⋣⋰*⋻5292))⨂≜(⪓⩚(⋰*⋻1548≳⇉⋰*⋻3A70))⫞⩸⩒((⋰*⋻855∠⫱⋰*⋻552A⊾⪯⋞⋰*⋻2032⩺⪪⋰*⋻1485)⫁⪎(⋰*⋻1512⇤⋰*⋻5495∝(⋰*⋻54A1⊦⊿)))=NaN","reverse_text":"NaN=((⋰*⋻351A⨔⇊⋰*⋻2598)⫣⪄⊒(⋣⋰*⋻5292))⨂≜(⪓⩚(⋰*⋻1548≳⇉⋰*⋻3A70))⫞⩸⩒((⋰*⋻855∠⫱⋰*⋻552A⊾⪯⋞⋰*⋻2032⩺⪪⋰*⋻1485)⫁⪎(⋰*⋻1512⇤⋰*⋻5495∝(⋰*⋻54A1⊦⊿)))","cot":[{"info":"⋰*⋻351A⨔⇊⋰*⋻2598=⋰*⋻2598","layer":3},{"info":"⋣⋰*⋻5292=⋰*⋻-1185769","layer":3},{"info":"⋰*⋻2598⫣⪄⊒⋰*⋻-1185769=⋰*⋻136","layer":2},{"info":"⋰*⋻1548≳⇉⋰*⋻3A70=NaN","layer":3},{"info":"⪓⩚NaN=⋰*⋻358","layer":2},{"info":"⋰*⋻136⨂≜⋰*⋻358=NaN","layer":1},{"info":"⋰*⋻855∠⫱⋰*⋻552A=⋰*⋻A22","layer":3},{"info":"⋰*⋻2032⩺⪪⋰*⋻1485=⋰*⋻-A183","layer":3},{"info":"⋰*⋻A22⊾⪯⋞⋰*⋻-A183=⋰*⋻-686","layer":2},{"info":"⋰*⋻1512⇤⋰*⋻5495=⋰*⋻-2A433","layer":3},{"info":"⋰*⋻54A1⊦⊿=⋰*⋻-15445","layer":3},{"info":"⋰*⋻-2A433∝⋰*⋻-15445=⋰*⋻-2A429","layer":2},{"info":"⋰*⋻-686⫁⪎⋰*⋻-2A429=⋰*⋻29853","layer":1},{"info":"NaN⫞⩸⩒⋰*⋻29853=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"(↑(⊤⊝$1000$⨳⩥⨓$1073$))↱((∤$3819$⨔⇊$2223$)⊦⊿)","expression":"(↑(⊤⊝⋰*⋻82A⨳⩥⨓⋰*⋻896))↱((∤⋰*⋻2962⨔⇊⋰*⋻1741)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":115,"operation_count":7,"complexity_ratio":16.428571428571427,"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":1000,"base":11},"right_expr":{"type":"numeric_atoms","value":1073,"base":11}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3819,"base":11},"right_expr":{"type":"numeric_atoms","value":2223,"base":11}}}}},"used_operators":["SR5kFfdi6N","tR7O2zTn5j","rXAclfmB4M","nCS4ZIUYfx","14qkJME0vr","k2HlF1dBQh","JclMnS0uGI"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⋰*⋻11101","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1073, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=73","layer":3},{"info":"compute unary expreesion, input=73, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-1152","layer":2},{"info":"compute unary expreesion, input=-1152, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=3819","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=2223, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2223","layer":3},{"info":"compute unary expreesion, input=2223, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute unary expreesion, input=9, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-106","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=-106, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=16094","layer":0}],"base":11,"result_base":11,"text":"(↑(⊤⊝⋰*⋻82A⨳⩥⨓⋰*⋻896))↱((∤⋰*⋻2962⨔⇊⋰*⋻1741)⊦⊿)=⋰*⋻11101","reverse_text":"⋰*⋻11101=(↑(⊤⊝⋰*⋻82A⨳⩥⨓⋰*⋻896))↱((∤⋰*⋻2962⨔⇊⋰*⋻1741)⊦⊿)","cot":[{"info":"⋰*⋻82A⨳⩥⨓⋰*⋻896=⋰*⋻67","layer":3},{"info":"⊤⊝⋰*⋻67=⋰*⋻-958","layer":2},{"info":"↑⋰*⋻-958=⋰*⋻165","layer":1},{"info":"⋰*⋻2962⨔⇊⋰*⋻1741=⋰*⋻1741","layer":3},{"info":"∤⋰*⋻1741=⋰*⋻9","layer":2},{"info":"⋰*⋻9⊦⊿=⋰*⋻-97","layer":1},{"info":"⋰*⋻165↱⋰*⋻-97=⋰*⋻11101","layer":0}]}
{"id":547,"expression_no_base_symbol":"(≸(($2666$↱$1350$)⇴(⊖$4588$)))∘(($5466$⨚$4199$⪇≇⋚$2777$⇡⇂$1115$)∇⊂⋱(($6376$⫲⨊)∇⊂⋱($7204$⫔⩽⩺$6646$)))","expression":"(≸((⋰*⋻2004↱⋰*⋻1018)⇴(⊖⋰*⋻34A1)))∘((⋰*⋻411A⨚⋰*⋻3178⪇≇⋚⋰*⋻20A5⇡⇂⋰*⋻924)∇⊂⋱((⋰*⋻4877⫲⨊)∇⊂⋱(⋰*⋻545A⫔⩽⩺⋰*⋻4AA2)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6166,"operation_count":12,"complexity_ratio":513.8333333333334,"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":2666,"base":11},"right_expr":{"type":"numeric_atoms","value":1350,"base":11}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":4588,"base":11}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":5466,"base":11},"right_expr":{"type":"numeric_atoms","value":4199,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2777,"base":11},"right_expr":{"type":"numeric_atoms","value":1115,"base":11}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":6376,"base":11}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7204,"base":11},"right_expr":{"type":"numeric_atoms","value":6646,"base":11}}}}},"used_operators":["Z5m6OM72h2","eOf03JbCpp","4JB6nKBMSY","SR5kFfdi6N","U6pG0PXrV3","nhYeJWJD5X","3sJ7IOPOlU","nREPSIbpBE","UMwdvZNt44","CArV6hThFE","i9eR4S00cU"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2666","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=1350, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3528","layer":3},{"info":"number node, value=4588","layer":4},{"info":"compute unary expreesion, input=4588, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3528, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-21554","layer":2},{"info":"compute unary expreesion, input=-21554, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":1},{"info":"number node, value=5466","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=4199, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-4930","layer":3},{"info":"number node, value=2777","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=2777, right_input=1115, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4930, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"number node, value=6376","layer":4},{"info":"compute unary expreesion, input=6376, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=32663","layer":3},{"info":"number node, value=7204","layer":4},{"info":"number node, value=6646","layer":4},{"info":"compute binary expreesion, left_input=7204, right_input=6646, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=32663, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=64780","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=64780, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≸((⋰*⋻2004↱⋰*⋻1018)⇴(⊖⋰*⋻34A1)))∘((⋰*⋻411A⨚⋰*⋻3178⪇≇⋚⋰*⋻20A5⇡⇂⋰*⋻924)∇⊂⋱((⋰*⋻4877⫲⨊)∇⊂⋱(⋰*⋻545A⫔⩽⩺⋰*⋻4AA2)))=NaN","reverse_text":"NaN=(≸((⋰*⋻2004↱⋰*⋻1018)⇴(⊖⋰*⋻34A1)))∘((⋰*⋻411A⨚⋰*⋻3178⪇≇⋚⋰*⋻20A5⇡⇂⋰*⋻924)∇⊂⋱((⋰*⋻4877⫲⨊)∇⊂⋱(⋰*⋻545A⫔⩽⩺⋰*⋻4AA2)))","cot":[{"info":"⋰*⋻2004↱⋰*⋻1018=⋰*⋻-2718","layer":3},{"info":"⊖⋰*⋻34A1=⋰*⋻0","layer":3},{"info":"⋰*⋻-2718⇴⋰*⋻0=⋰*⋻-15215","layer":2},{"info":"≸⋰*⋻-15215=NaN","layer":1},{"info":"⋰*⋻411A⨚⋰*⋻3178=⋰*⋻-3782","layer":3},{"info":"⋰*⋻20A5⇡⇂⋰*⋻924=NaN","layer":3},{"info":"⋰*⋻-3782⪇≇⋚NaN=NaN","layer":2},{"info":"⋰*⋻4877⫲⨊=⋰*⋻225A4","layer":3},{"info":"⋰*⋻545A⫔⩽⩺⋰*⋻4AA2=NaN","layer":3},{"info":"⋰*⋻225A4∇⊂⋱NaN=⋰*⋻44741","layer":2},{"info":"NaN∇⊂⋱⋰*⋻44741=NaN","layer":1},{"info":"NaN∘NaN=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"((⊢≑≆$1497$)⩼⇪↪$9214$⨸$1615$⩵∡($5411$⫣⪄⊒$3742$∙∹∝$2277$⪬$6359$))≎⊠⪸(↡($1911$↱$2189$))⇂≾⫗(⋣($3077$∷$1926$))","expression":"((⊢≑≆⋰*⋻1141)⩼⇪↪⋰*⋻6A17⨸⋰*⋻1239⩵∡(⋰*⋻407A⫣⪄⊒⋰*⋻28A2∙∹∝⋰*⋻1790⪬⋰*⋻4861))≎⊠⪸(↡(⋰*⋻1488↱⋰*⋻1710))⇂≾⫗(⋣(⋰*⋻2348∷⋰*⋻14A1))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10279,"operation_count":13,"complexity_ratio":790.6923076923077,"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":1497,"base":11}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":9214,"base":11},"right_expr":{"type":"numeric_atoms","value":1615,"base":11}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5411,"base":11},"right_expr":{"type":"numeric_atoms","value":3742,"base":11}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2277,"base":11},"right_expr":{"type":"numeric_atoms","value":6359,"base":11}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1911,"base":11},"right_expr":{"type":"numeric_atoms","value":2189,"base":11}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3077,"base":11},"right_expr":{"type":"numeric_atoms","value":1926,"base":11}}}}},"used_operators":["bJkvcejdHO","Y7wcNGrDQJ","ocnLzx9CaJ","27wFxooxGf","KmoU8R5UQR","HmxsFra2vL","RabNbG55vr","Ez1Nq5fNfI","aBQ6xLxuTc","MXaNJeIAZ3","SR5kFfdi6N","zQWRhDnn8F","D3AQDKkPcf"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1497","layer":4},{"info":"compute unary expreesion, input=1497, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=6440","layer":3},{"info":"number node, value=9214","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=9214, right_input=1615, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=18428","layer":3},{"info":"compute binary expreesion, left_input=6440, right_input=18428, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-116899","layer":2},{"info":"number node, value=5411","layer":4},{"info":"number node, value=3742","layer":4},{"info":"compute binary expreesion, left_input=5411, right_input=3742, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-12142","layer":3},{"info":"number node, value=2277","layer":4},{"info":"number node, value=6359","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=6359, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-12142, right_input=1234, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-116899, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=350576","layer":1},{"info":"number node, value=1911","layer":4},{"info":"number node, value=2189","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=2189, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-6045","layer":3},{"info":"compute unary expreesion, input=-6045, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-54405","layer":2},{"info":"number node, value=3077","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=1926, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1926","layer":3},{"info":"compute unary expreesion, input=1926, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-566149","layer":2},{"info":"compute binary expreesion, left_input=-54405, right_input=-566149, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=350576, right_input=-670, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⊢≑≆⋰*⋻1141)⩼⇪↪⋰*⋻6A17⨸⋰*⋻1239⩵∡(⋰*⋻407A⫣⪄⊒⋰*⋻28A2∙∹∝⋰*⋻1790⪬⋰*⋻4861))≎⊠⪸(↡(⋰*⋻1488↱⋰*⋻1710))⇂≾⫗(⋣(⋰*⋻2348∷⋰*⋻14A1))=⋰*⋻61","reverse_text":"⋰*⋻61=((⊢≑≆⋰*⋻1141)⩼⇪↪⋰*⋻6A17⨸⋰*⋻1239⩵∡(⋰*⋻407A⫣⪄⊒⋰*⋻28A2∙∹∝⋰*⋻1790⪬⋰*⋻4861))≎⊠⪸(↡(⋰*⋻1488↱⋰*⋻1710))⇂≾⫗(⋣(⋰*⋻2348∷⋰*⋻14A1))","cot":[{"info":"⊢≑≆⋰*⋻1141=⋰*⋻4925","layer":3},{"info":"⋰*⋻6A17⨸⋰*⋻1239=⋰*⋻12933","layer":3},{"info":"⋰*⋻4925⩼⇪↪⋰*⋻12933=⋰*⋻-7A912","layer":2},{"info":"⋰*⋻407A⫣⪄⊒⋰*⋻28A2=⋰*⋻-9139","layer":3},{"info":"⋰*⋻1790⪬⋰*⋻4861=⋰*⋻A22","layer":3},{"info":"⋰*⋻-9139∙∹∝⋰*⋻A22=⋰*⋻0","layer":2},{"info":"⋰*⋻-7A912⩵∡⋰*⋻0=⋰*⋻21A436","layer":1},{"info":"⋰*⋻1488↱⋰*⋻1710=⋰*⋻-45A6","layer":3},{"info":"↡⋰*⋻-45A6=⋰*⋻-3796A","layer":2},{"info":"⋰*⋻2348∷⋰*⋻14A1=⋰*⋻14A1","layer":3},{"info":"⋣⋰*⋻14A1=⋰*⋻-3573A1","layer":2},{"info":"⋰*⋻-3796A⇂≾⫗⋰*⋻-3573A1=⋰*⋻-55A","layer":1},{"info":"⋰*⋻21A436≎⊠⪸⋰*⋻-55A=⋰*⋻61","layer":0}]}
{"id":549,"expression_no_base_symbol":"((($2701$⨸⪁$3137$)⪒⊣⊆($5705$%$4548$))⪎↠(($1193$⋖∅⋲)⩇∃⫛($1613$⩷∴$1903$)))⪬((($8381$⩧⪆$3305$)⊬⨰($4767$⩇∃⫛$2379$))≁((⊄⩳↩$1301$)≎⊠⪸($2149$⇮⋭$1562$)))","expression":"(((⋰*⋻2036⨸⪁⋰*⋻23A2)⪒⊣⊆(⋰*⋻4317%⋰*⋻3465))⪎↠((⋰*⋻995⋖∅⋲)⩇∃⫛(⋰*⋻1237⩷∴⋰*⋻1480)))⪬(((⋰*⋻632A⩧⪆⋰*⋻2535)⊬⨰(⋰*⋻3644⩇∃⫛⋰*⋻1873))≁((⊄⩳↩⋰*⋻A83)≎⊠⪸(⋰*⋻1684⇮⋭⋰*⋻11A0)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":940,"operation_count":15,"complexity_ratio":62.666666666666664,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2701,"base":11},"right_expr":{"type":"numeric_atoms","value":3137,"base":11}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5705,"base":11},"right_expr":{"type":"numeric_atoms","value":4548,"base":11}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1193,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1613,"base":11},"right_expr":{"type":"numeric_atoms","value":1903,"base":11}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":8381,"base":11},"right_expr":{"type":"numeric_atoms","value":3305,"base":11}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4767,"base":11},"right_expr":{"type":"numeric_atoms","value":2379,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1301,"base":11}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2149,"base":11},"right_expr":{"type":"numeric_atoms","value":1562,"base":11}}}}},"used_operators":["Ez1Nq5fNfI","3tVxb0NHM4","eRqsBgTDFp","g55IO6H4Gj","k8jYdgA6NY","1aApVXNlOP","L95AwlJzhO","9FxExcQeMw","8N2wDY1A35","s3Fd5m9Dh2","Ikt5ks8PT7","bJkvcejdHO","8w2t5hMYqp","vkpjKywKVM"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eewbuw0ToL","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2701","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=3137, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11676","layer":3},{"info":"number node, value=5705","layer":4},{"info":"number node, value=4548","layer":4},{"info":"compute binary expreesion, left_input=5705, right_input=4548, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1157","layer":3},{"info":"compute binary expreesion, left_input=11676, right_input=1157, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=23352","layer":2},{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"number node, value=1613","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=1903, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-612","layer":3},{"info":"compute binary expreesion, left_input=-384231, right_input=-612, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-384231","layer":2},{"info":"compute binary expreesion, left_input=23352, right_input=-384231, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"number node, value=8381","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=8381, right_input=3305, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3305","layer":3},{"info":"number node, value=4767","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=4767, right_input=2379, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-1915","layer":3},{"info":"compute binary expreesion, left_input=-3305, right_input=-1915, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-14270","layer":2},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3903","layer":3},{"info":"number node, value=2149","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=1562, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-3903, right_input=-473, 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=-14270, right_input=67, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-3849","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-3849, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2036⨸⪁⋰*⋻23A2)⪒⊣⊆(⋰*⋻4317%⋰*⋻3465))⪎↠((⋰*⋻995⋖∅⋲)⩇∃⫛(⋰*⋻1237⩷∴⋰*⋻1480)))⪬(((⋰*⋻632A⩧⪆⋰*⋻2535)⊬⨰(⋰*⋻3644⩇∃⫛⋰*⋻1873))≁((⊄⩳↩⋰*⋻A83)≎⊠⪸(⋰*⋻1684⇮⋭⋰*⋻11A0)))=⋰*⋻A22","reverse_text":"⋰*⋻A22=(((⋰*⋻2036⨸⪁⋰*⋻23A2)⪒⊣⊆(⋰*⋻4317%⋰*⋻3465))⪎↠((⋰*⋻995⋖∅⋲)⩇∃⫛(⋰*⋻1237⩷∴⋰*⋻1480)))⪬(((⋰*⋻632A⩧⪆⋰*⋻2535)⊬⨰(⋰*⋻3644⩇∃⫛⋰*⋻1873))≁((⊄⩳↩⋰*⋻A83)≎⊠⪸(⋰*⋻1684⇮⋭⋰*⋻11A0)))","cot":[{"info":"⋰*⋻2036⨸⪁⋰*⋻23A2=⋰*⋻8855","layer":3},{"info":"⋰*⋻4317%⋰*⋻3465=⋰*⋻962","layer":3},{"info":"⋰*⋻8855⪒⊣⊆⋰*⋻962=⋰*⋻165AA","layer":2},{"info":"⋰*⋻995⋖∅⋲=⋰*⋻-242751","layer":3},{"info":"⋰*⋻1237⩷∴⋰*⋻1480=⋰*⋻-507","layer":3},{"info":"⋰*⋻-242751⩇∃⫛⋰*⋻-507=⋰*⋻-242751","layer":2},{"info":"⋰*⋻165AA⪎↠⋰*⋻-242751=⋰*⋻136","layer":1},{"info":"⋰*⋻632A⩧⪆⋰*⋻2535=⋰*⋻-2535","layer":3},{"info":"⋰*⋻3644⩇∃⫛⋰*⋻1873=⋰*⋻-1491","layer":3},{"info":"⋰*⋻-2535⊬⨰⋰*⋻-1491=⋰*⋻-A7A3","layer":2},{"info":"⊄⩳↩⋰*⋻A83=⋰*⋻-2A29","layer":3},{"info":"⋰*⋻1684⇮⋭⋰*⋻11A0=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻-2A29≎⊠⪸⋰*⋻-3A0=⋰*⋻61","layer":2},{"info":"⋰*⋻-A7A3≁⋰*⋻61=⋰*⋻-298A","layer":1},{"info":"⋰*⋻136⪬⋰*⋻-298A=⋰*⋻A22","layer":0}]}
{"id":550,"expression_no_base_symbol":"((∥⊫$1349$)⪍↜⋙($4871$↙$7937$))⊉↱≁((∤$1533$)⩷∴$4516$≁$4639$)⊿∆","expression":"((∥⊫⋰*⋻1017)⪍↜⋙(⋰*⋻3729↙⋰*⋻5A66))⊉↱≁((∤⋰*⋻1174)⩷∴⋰*⋻3436≁⋰*⋻3538)⊿∆","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8072,"operation_count":8,"complexity_ratio":1009.0,"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":1349,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4871,"base":11},"right_expr":{"type":"numeric_atoms","value":7937,"base":11}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1533,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4516,"base":11},"right_expr":{"type":"numeric_atoms","value":4639,"base":11}}}}},"used_operators":["fv3ZujxkQL","w2P8NbNXyL","L05ObWFQCd","P8v4zCKN1o","yyfyN0ffXY","9FxExcQeMw","k2HlF1dBQh","8N2wDY1A35"],"dependent_operators":["NTOWxs364D","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⋰*⋻-1A0A969","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"compute unary expreesion, input=1349, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2217","layer":3},{"info":"number node, value=4871","layer":4},{"info":"number node, value=7937","layer":4},{"info":"compute binary expreesion, left_input=4871, right_input=7937, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23811","layer":3},{"info":"compute binary expreesion, left_input=2217, right_input=-23811, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=52056","layer":2},{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=4516","layer":4},{"info":"number node, value=4639","layer":4},{"info":"compute binary expreesion, left_input=4516, right_input=4639, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=98135","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=98135, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-196284","layer":2},{"info":"compute binary expreesion, left_input=52056, right_input=-196284, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1698212","layer":1},{"info":"compute unary expreesion, input=1698212, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-3396545","layer":0}],"base":11,"result_base":11,"text":"((∥⊫⋰*⋻1017)⪍↜⋙(⋰*⋻3729↙⋰*⋻5A66))⊉↱≁((∤⋰*⋻1174)⩷∴⋰*⋻3436≁⋰*⋻3538)⊿∆=⋰*⋻-1A0A969","reverse_text":"⋰*⋻-1A0A969=((∥⊫⋰*⋻1017)⪍↜⋙(⋰*⋻3729↙⋰*⋻5A66))⊉↱≁((∤⋰*⋻1174)⩷∴⋰*⋻3436≁⋰*⋻3538)⊿∆","cot":[{"info":"∥⊫⋰*⋻1017=⋰*⋻1736","layer":3},{"info":"⋰*⋻3729↙⋰*⋻5A66=⋰*⋻-16987","layer":3},{"info":"⋰*⋻1736⪍↜⋙⋰*⋻-16987=⋰*⋻36124","layer":2},{"info":"∤⋰*⋻1174=⋰*⋻9","layer":3},{"info":"⋰*⋻3436≁⋰*⋻3538=⋰*⋻67804","layer":3},{"info":"⋰*⋻9⩷∴⋰*⋻67804=⋰*⋻-124520","layer":2},{"info":"⋰*⋻36124⊉↱≁⋰*⋻-124520=⋰*⋻A5A98A","layer":1},{"info":"⋰*⋻A5A98A⊿∆=⋰*⋻-1A0A969","layer":0}]}
{"id":551,"expression_no_base_symbol":"($1810$≨$4889$)⩖⊿($1241$⨉)≧⫂∧(($1588$⊧↖)⩹(∟⋨$2941$))⨒($6750$*$1715$∖$1020$∌$6621$)≀⩗∶$1137$⪃⊛⇣$1429$⋛($1110$⨻⩈⩔$3695$)","expression":"(⋰*⋻13A6≨⋰*⋻3745)⩖⊿(⋰*⋻A29⨉)≧⫂∧((⋰*⋻1214⊧↖)⩹(∟⋨⋰*⋻2234))⨒(⋰*⋻5087*⋰*⋻131A∖⋰*⋻848∌⋰*⋻4A7A)≀⩗∶⋰*⋻944⪃⊛⇣⋰*⋻108A⋛(⋰*⋻91A⨻⩈⩔⋰*⋻285A)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":8606,"operation_count":15,"complexity_ratio":573.7333333333333,"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":1810,"base":11},"right_expr":{"type":"numeric_atoms","value":4889,"base":11}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1241,"base":11}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1588,"base":11}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2941,"base":11}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6750,"base":11},"right_expr":{"type":"numeric_atoms","value":1715,"base":11}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1020,"base":11},"right_expr":{"type":"numeric_atoms","value":6621,"base":11}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1137,"base":11},"right_expr":{"type":"numeric_atoms","value":1429,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1110,"base":11},"right_expr":{"type":"numeric_atoms","value":3695,"base":11}}}}},"used_operators":["y75s1iXyHd","Ph9nP6C5qx","RZ5CV9rWsJ","0KMCeP1Jsh","aMUSaJuDRU","2Wsdkap16l","EKiFHuOFxO","ctOc4cKSDt","8INZBEW696","tXD093vOjl","9HNa5Wba9A","8cLx32lpNA","YbUVn0Rbpy","rrgAzCduG9","nEsXyWgiOK"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","eLAdDNolq6","tmPS8pqC7x","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1810","layer":4},{"info":"number node, value=4889","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=4889, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-15624","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4810","layer":3},{"info":"compute binary expreesion, left_input=-15624, right_input=4810, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-7706","layer":2},{"info":"number node, value=1588","layer":4},{"info":"compute unary expreesion, input=1588, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=15137120","layer":3},{"info":"number node, value=2941","layer":4},{"info":"compute unary expreesion, input=2941, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2457","layer":3},{"info":"compute binary expreesion, left_input=15137120, right_input=-2457, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2459","layer":2},{"info":"compute binary expreesion, left_input=-7706, right_input=-2459, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-5247","layer":1},{"info":"number node, value=6750","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=6750, right_input=1715, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11576250","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=6621","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=6621, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6621","layer":3},{"info":"compute binary expreesion, left_input=11576250, right_input=-6621, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=1137","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1429, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1110","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=3695, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-174, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-24","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-24, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5247, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻13A6≨⋰*⋻3745)⩖⊿(⋰*⋻A29⨉)≧⫂∧((⋰*⋻1214⊧↖)⩹(∟⋨⋰*⋻2234))⨒(⋰*⋻5087*⋰*⋻131A∖⋰*⋻848∌⋰*⋻4A7A)≀⩗∶⋰*⋻944⪃⊛⇣⋰*⋻108A⋛(⋰*⋻91A⨻⩈⩔⋰*⋻285A)=NaN","reverse_text":"NaN=(⋰*⋻13A6≨⋰*⋻3745)⩖⊿(⋰*⋻A29⨉)≧⫂∧((⋰*⋻1214⊧↖)⩹(∟⋨⋰*⋻2234))⨒(⋰*⋻5087*⋰*⋻131A∖⋰*⋻848∌⋰*⋻4A7A)≀⩗∶⋰*⋻944⪃⊛⇣⋰*⋻108A⋛(⋰*⋻91A⨻⩈⩔⋰*⋻285A)","cot":[{"info":"⋰*⋻13A6≨⋰*⋻3745=⋰*⋻-10814","layer":3},{"info":"⋰*⋻A29⨉=⋰*⋻3683","layer":3},{"info":"⋰*⋻-10814⩖⊿⋰*⋻3683=⋰*⋻-5876","layer":2},{"info":"⋰*⋻1214⊧↖=⋰*⋻85A9819","layer":3},{"info":"∟⋨⋰*⋻2234=⋰*⋻-1934","layer":3},{"info":"⋰*⋻85A9819⩹⋰*⋻-1934=⋰*⋻-1936","layer":2},{"info":"⋰*⋻-5876≧⫂∧⋰*⋻-1936=⋰*⋻-3A40","layer":1},{"info":"⋰*⋻5087*⋰*⋻131A=⋰*⋻6597454","layer":3},{"info":"⋰*⋻848∌⋰*⋻4A7A=⋰*⋻-4A7A","layer":3},{"info":"⋰*⋻6597454∖⋰*⋻-4A7A=⋰*⋻0","layer":2},{"info":"⋰*⋻944⪃⊛⇣⋰*⋻108A=⋰*⋻A22","layer":3},{"info":"⋰*⋻91A⨻⩈⩔⋰*⋻285A=⋰*⋻-149","layer":3},{"info":"⋰*⋻A22⋛⋰*⋻-149=⋰*⋻-22","layer":2},{"info":"⋰*⋻0≀⩗∶⋰*⋻-22=NaN","layer":1},{"info":"⋰*⋻-3A40⨒NaN=NaN","layer":0}]}
{"id":552,"expression_no_base_symbol":"(↽≂(∷≠$1215$))⫯⪬∳($1167$⪝$2974$⊍⩺⋍$1035$≁↽≥$1799$)⇷(⇋↷(⩩$3488$)⩖⊿(≇⪴$5754$))","expression":"(↽≂(∷≠⋰*⋻A05))⫯⪬∳(⋰*⋻971⪝⋰*⋻2264⊍⩺⋍⋰*⋻861≁↽≥⋰*⋻1396)⇷(⇋↷(⩩⋰*⋻2691)⩖⊿(≇⪴⋰*⋻4361))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":100571,"operation_count":11,"complexity_ratio":9142.818181818182,"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":1215,"base":11}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1167,"base":11},"right_expr":{"type":"numeric_atoms","value":2974,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1035,"base":11},"right_expr":{"type":"numeric_atoms","value":1799,"base":11}}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":3488,"base":11}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":5754,"base":11}}}}},"used_operators":["mp7IySMOzn","d7ASUq0ydm","u6S6b8DprG","QiR2Oyf5Xj","OXDGMFPWZM","wicAB68Tmb","ncHt1X6cMc","SWo3A1KBJH","RZ5CV9rWsJ","kMhfGuqI2H","zoVPnxeHJ3"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1215","layer":3},{"info":"compute unary expreesion, input=1215, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2430","layer":2},{"info":"number node, value=1167","layer":4},{"info":"number node, value=2974","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=2974, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1799, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25457","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=25457, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2430, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6817","layer":1},{"info":"number node, value=3488","layer":4},{"info":"compute unary expreesion, input=3488, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=5754","layer":4},{"info":"compute unary expreesion, input=5754, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-15922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15922, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6817, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↽≂(∷≠⋰*⋻A05))⫯⪬∳(⋰*⋻971⪝⋰*⋻2264⊍⩺⋍⋰*⋻861≁↽≥⋰*⋻1396)⇷(⇋↷(⩩⋰*⋻2691)⩖⊿(≇⪴⋰*⋻4361))=NaN","reverse_text":"NaN=(↽≂(∷≠⋰*⋻A05))⫯⪬∳(⋰*⋻971⪝⋰*⋻2264⊍⩺⋍⋰*⋻861≁↽≥⋰*⋻1396)⇷(⇋↷(⩩⋰*⋻2691)⩖⊿(≇⪴⋰*⋻4361))","cot":[{"info":"∷≠⋰*⋻A05=⋰*⋻A05","layer":3},{"info":"↽≂⋰*⋻A05=⋰*⋻-190A","layer":2},{"info":"⋰*⋻971⪝⋰*⋻2264=⋰*⋻1A6","layer":3},{"info":"⋰*⋻861≁↽≥⋰*⋻1396=⋰*⋻18143","layer":3},{"info":"⋰*⋻1A6⊍⩺⋍⋰*⋻18143=NaN","layer":2},{"info":"⋰*⋻-190A⫯⪬∳NaN=⋰*⋻5138","layer":1},{"info":"⩩⋰*⋻2691=NaN","layer":3},{"info":"≇⪴⋰*⋻4361=⋰*⋻-10A65","layer":3},{"info":"NaN⩖⊿⋰*⋻-10A65=NaN","layer":2},{"info":"⇋↷NaN=NaN","layer":1},{"info":"⋰*⋻5138⇷NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"⫵↿($1079$⩘⨬⇊)⫁($3998$⇍⊗$2041$)∋($1954$⨐$6837$⊾⪯⋞$2659$⨭⪣$6156$)","expression":"⫵↿(⋰*⋻8A1⩘⨬⇊)⫁(⋰*⋻3005⇍⊗⋰*⋻1596)∋(⋰*⋻1517⨐⋰*⋻5156⊾⪯⋞⋰*⋻1AA8⨭⪣⋰*⋻4697)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2935,"operation_count":8,"complexity_ratio":366.875,"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":1079,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3998,"base":11},"right_expr":{"type":"numeric_atoms","value":2041,"base":11}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1954,"base":11},"right_expr":{"type":"numeric_atoms","value":6837,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2659,"base":11},"right_expr":{"type":"numeric_atoms","value":6156,"base":11}}}}},"used_operators":["ivGwdmUAux","ukq6epAj5P","0ajvFaJAv0","XXmTpEpWTW","5uvYHDjeKN","HK0tfVPux8","Noe24qw2ks","kn8WO9XteQ"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","cHh1gJQ2o6","AHs5Up7iyr","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⋰*⋻115","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=3998","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=3998, right_input=2041, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1954","layer":4},{"info":"number node, value=6837","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=6837, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3908","layer":3},{"info":"number node, value=2659","layer":4},{"info":"number node, value=6156","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=6156, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1380","layer":3},{"info":"compute binary expreesion, left_input=-3908, right_input=1380, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2334","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2334, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4790696","layer":1},{"info":"compute unary expreesion, input=4790696, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":11,"result_base":11,"text":"⫵↿(⋰*⋻8A1⩘⨬⇊)⫁(⋰*⋻3005⇍⊗⋰*⋻1596)∋(⋰*⋻1517⨐⋰*⋻5156⊾⪯⋞⋰*⋻1AA8⨭⪣⋰*⋻4697)=⋰*⋻115","reverse_text":"⋰*⋻115=⫵↿(⋰*⋻8A1⩘⨬⇊)⫁(⋰*⋻3005⇍⊗⋰*⋻1596)∋(⋰*⋻1517⨐⋰*⋻5156⊾⪯⋞⋰*⋻1AA8⨭⪣⋰*⋻4697)","cot":[{"info":"⋰*⋻8A1⩘⨬⇊=NaN","layer":3},{"info":"⋰*⋻3005⇍⊗⋰*⋻1596=⋰*⋻-202","layer":3},{"info":"NaN⫁⋰*⋻-202=⋰*⋻136","layer":2},{"info":"⋰*⋻1517⨐⋰*⋻5156=⋰*⋻-2A33","layer":3},{"info":"⋰*⋻1AA8⨭⪣⋰*⋻4697=⋰*⋻1045","layer":3},{"info":"⋰*⋻-2A33⊾⪯⋞⋰*⋻1045=⋰*⋻1832","layer":2},{"info":"⋰*⋻136∋⋰*⋻1832=⋰*⋻2782359","layer":1},{"info":"⫵↿⋰*⋻2782359=⋰*⋻115","layer":0}]}
{"id":554,"expression_no_base_symbol":"(⪛⨧($7596$⫢⨠$5156$)∊∟⩊($3479$↡⊰⫅$5947$))⨓((⋗⩬⋾$2872$)⨽($2270$⋹))≠≀($3673$⨸$1371$⪨⊡$1499$⪶≀⋏$4042$)","expression":"(⪛⨧(⋰*⋻5786⫢⨠⋰*⋻3968)∊∟⩊(⋰*⋻2683↡⊰⫅⋰*⋻4517))⨓((⋗⩬⋾⋰*⋻2181)⨽(⋰*⋻1784⋹))≠≀(⋰*⋻283A⨸⋰*⋻1037⪨⊡⋰*⋻1143⪶≀⋏⋰*⋻3045)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":95871,"operation_count":12,"complexity_ratio":7989.25,"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":7596,"base":11},"right_expr":{"type":"numeric_atoms","value":5156,"base":11}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3479,"base":11},"right_expr":{"type":"numeric_atoms","value":5947,"base":11}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2872,"base":11}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":2270,"base":11}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3673,"base":11},"right_expr":{"type":"numeric_atoms","value":1371,"base":11}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1499,"base":11},"right_expr":{"type":"numeric_atoms","value":4042,"base":11}}}}},"used_operators":["3ViojmjbAp","6NJAcO2OWT","ddLRYrp01A","xlXykHWxX1","VCtxkLNOzz","IwW236VD4Y","8HhzD0ZcuI","DpFCA1CohY","opAxDRczMr","kuIXHzHcAH","KmoU8R5UQR","zR4jO40bMj"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7596","layer":4},{"info":"number node, value=5156","layer":4},{"info":"compute binary expreesion, left_input=7596, right_input=5156, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=5947","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=5947, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=11894","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=11894, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=11894","layer":2},{"info":"compute unary expreesion, input=11894, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=25189","layer":1},{"info":"number node, value=2872","layer":4},{"info":"compute unary expreesion, input=2872, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8616","layer":3},{"info":"number node, value=2270","layer":4},{"info":"compute unary expreesion, input=2270, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=-8616, right_input=-20, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-222704994","layer":2},{"info":"number node, value=3673","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3673, right_input=1371, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7346","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=4042, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12813","layer":3},{"info":"compute binary expreesion, left_input=7346, right_input=-12813, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=52041","layer":2},{"info":"compute binary expreesion, left_input=-222704994, right_input=52041, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=445410294","layer":1},{"info":"compute binary expreesion, left_input=25189, right_input=445410294, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪛⨧(⋰*⋻5786⫢⨠⋰*⋻3968)∊∟⩊(⋰*⋻2683↡⊰⫅⋰*⋻4517))⨓((⋗⩬⋾⋰*⋻2181)⨽(⋰*⋻1784⋹))≠≀(⋰*⋻283A⨸⋰*⋻1037⪨⊡⋰*⋻1143⪶≀⋏⋰*⋻3045)=NaN","reverse_text":"NaN=(⪛⨧(⋰*⋻5786⫢⨠⋰*⋻3968)∊∟⩊(⋰*⋻2683↡⊰⫅⋰*⋻4517))⨓((⋗⩬⋾⋰*⋻2181)⨽(⋰*⋻1784⋹))≠≀(⋰*⋻283A⨸⋰*⋻1037⪨⊡⋰*⋻1143⪶≀⋏⋰*⋻3045)","cot":[{"info":"⋰*⋻5786⫢⨠⋰*⋻3968=⋰*⋻136","layer":3},{"info":"⋰*⋻2683↡⊰⫅⋰*⋻4517=⋰*⋻8A33","layer":3},{"info":"⋰*⋻136∊∟⩊⋰*⋻8A33=⋰*⋻8A33","layer":2},{"info":"⪛⨧⋰*⋻8A33=⋰*⋻17A1A","layer":1},{"info":"⋗⩬⋾⋰*⋻2181=⋰*⋻-6523","layer":3},{"info":"⋰*⋻1784⋹=⋰*⋻-19","layer":3},{"info":"⋰*⋻-6523⨽⋰*⋻-19=⋰*⋻-104790616","layer":2},{"info":"⋰*⋻283A⨸⋰*⋻1037=⋰*⋻5579","layer":3},{"info":"⋰*⋻1143⪶≀⋏⋰*⋻3045=⋰*⋻-9699","layer":3},{"info":"⋰*⋻5579⪨⊡⋰*⋻-9699=⋰*⋻36110","layer":2},{"info":"⋰*⋻-104790616≠≀⋰*⋻36110=⋰*⋻20947138A","layer":1},{"info":"⋰*⋻17A1A⨓⋰*⋻20947138A=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"(⪹($2607$⫦⪉$2348$)↹⊜(∂⩏⊆$4492$))↰","expression":"(⪹(⋰*⋻1A60⫦⪉⋰*⋻1845)↹⊜(∂⩏⊆⋰*⋻3414))↰","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":57,"operation_count":5,"complexity_ratio":11.4,"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":2607,"base":11},"right_expr":{"type":"numeric_atoms","value":2348,"base":11}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4492,"base":11}}}}},"used_operators":["bl5wxAcryP","USyYr0JgAa","9bazX3JMtO","wscyQdcy20","8WDwsbhb0R"],"dependent_operators":["nCS4ZIUYfx","Z2TMIBDE3Q","tifHPKVTfV","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","14qkJME0vr","eLAdDNolq6"],"result":"⋰*⋻-74383","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2607","layer":4},{"info":"number node, value=2348","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=2348, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-314","layer":3},{"info":"number node, value=4492","layer":4},{"info":"compute unary expreesion, input=4492, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-13555","layer":3},{"info":"compute binary expreesion, left_input=-314, right_input=-13555, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=108344","layer":2},{"info":"compute unary expreesion, input=108344, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-108164","layer":1},{"info":"compute unary expreesion, input=-108164, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-108265","layer":0}],"base":11,"result_base":11,"text":"(⪹(⋰*⋻1A60⫦⪉⋰*⋻1845)↹⊜(∂⩏⊆⋰*⋻3414))↰=⋰*⋻-74383","reverse_text":"⋰*⋻-74383=(⪹(⋰*⋻1A60⫦⪉⋰*⋻1845)↹⊜(∂⩏⊆⋰*⋻3414))↰","cot":[{"info":"⋰*⋻1A60⫦⪉⋰*⋻1845=⋰*⋻-266","layer":3},{"info":"∂⩏⊆⋰*⋻3414=⋰*⋻-A203","layer":3},{"info":"⋰*⋻-266↹⊜⋰*⋻-A203=⋰*⋻74445","layer":2},{"info":"⪹⋰*⋻74445=⋰*⋻-742A1","layer":1},{"info":"⋰*⋻-742A1↰=⋰*⋻-74383","layer":0}]}
{"id":556,"expression_no_base_symbol":"((⨴⫝(≸≮$7594$))∕⩚($4335$⩒⫫$5440$)⨼⩣(⇋↷$4407$))⨚(($2601$∊∟⩊$1404$⪁$4728$⨸$1294$)≭($2009$⊕∕$2801$≫≃))","expression":"((⨴⫝(≸≮⋰*⋻5784))∕⩚(⋰*⋻3291⩒⫫⋰*⋻40A6)⨼⩣(⇋↷⋰*⋻3347))⨚((⋰*⋻1A55∊∟⩊⋰*⋻1067⪁⋰*⋻3609⨸⋰*⋻A77)≭(⋰*⋻1567⊕∕⋰*⋻2117≫≃))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31241,"operation_count":13,"complexity_ratio":2403.153846153846,"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":7594,"base":11}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4335,"base":11},"right_expr":{"type":"numeric_atoms","value":5440,"base":11}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":4407,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2601,"base":11},"right_expr":{"type":"numeric_atoms","value":1404,"base":11}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4728,"base":11},"right_expr":{"type":"numeric_atoms","value":1294,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2009,"base":11},"right_expr":{"type":"numeric_atoms","value":2801,"base":11}}}}},"used_operators":["nREPSIbpBE","z9ffQ9n5Zr","SVb2v531z1","AljMvE3RRm","JxwMv5le6e","KFSx94NKJn","SWo3A1KBJH","rxpJgHHUmx","I7sXao9hZE","ddLRYrp01A","KmoU8R5UQR","X99M06cbEe","9cloC0Ngie"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7594","layer":4},{"info":"compute unary expreesion, input=7594, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=nan","layer":2},{"info":"number node, value=4335","layer":4},{"info":"number node, value=5440","layer":4},{"info":"compute binary expreesion, left_input=4335, right_input=5440, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4033","layer":3},{"info":"number node, value=4407","layer":4},{"info":"compute unary expreesion, input=4407, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=35256","layer":3},{"info":"compute binary expreesion, left_input=4033, right_input=35256, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=2601","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=1404, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1404","layer":3},{"info":"number node, value=4728","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=4728, right_input=1294, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9456","layer":3},{"info":"compute binary expreesion, left_input=1404, right_input=9456, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=2009","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=2801, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2009","layer":3},{"info":"compute unary expreesion, input=2009, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5419","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5419, 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=-487, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨴⫝(≸≮⋰*⋻5784))∕⩚(⋰*⋻3291⩒⫫⋰*⋻40A6)⨼⩣(⇋↷⋰*⋻3347))⨚((⋰*⋻1A55∊∟⩊⋰*⋻1067⪁⋰*⋻3609⨸⋰*⋻A77)≭(⋰*⋻1567⊕∕⋰*⋻2117≫≃))=NaN","reverse_text":"NaN=((⨴⫝(≸≮⋰*⋻5784))∕⩚(⋰*⋻3291⩒⫫⋰*⋻40A6)⨼⩣(⇋↷⋰*⋻3347))⨚((⋰*⋻1A55∊∟⩊⋰*⋻1067⪁⋰*⋻3609⨸⋰*⋻A77)≭(⋰*⋻1567⊕∕⋰*⋻2117≫≃))","cot":[{"info":"≸≮⋰*⋻5784=NaN","layer":3},{"info":"⨴⫝NaN=NaN","layer":2},{"info":"⋰*⋻3291⩒⫫⋰*⋻40A6=⋰*⋻3037","layer":3},{"info":"⇋↷⋰*⋻3347=⋰*⋻24541","layer":3},{"info":"⋰*⋻3037⨼⩣⋰*⋻24541=NaN","layer":2},{"info":"NaN∕⩚NaN=⋰*⋻-403","layer":1},{"info":"⋰*⋻1A55∊∟⩊⋰*⋻1067=⋰*⋻1067","layer":3},{"info":"⋰*⋻3609⨸⋰*⋻A77=⋰*⋻7117","layer":3},{"info":"⋰*⋻1067⪁⋰*⋻7117=NaN","layer":2},{"info":"⋰*⋻1567⊕∕⋰*⋻2117=⋰*⋻1567","layer":3},{"info":"⋰*⋻1567≫≃=⋰*⋻4087","layer":2},{"info":"NaN≭⋰*⋻4087=NaN","layer":1},{"info":"⋰*⋻-403⨚NaN=NaN","layer":0}]}
{"id":557,"expression_no_base_symbol":"((⊙↵-($2759$⋓$2674$))↰)⫁⪎(($4040$⨐$2028$)↞⋁($5006$⫠↝⫳)⫳≱↱$3234$∴$1731$≨(⪫⨮⊛$1118$))","expression":"((⊙↵-(⋰*⋻2089⋓⋰*⋻2011))↰)⫁⪎((⋰*⋻3043⨐⋰*⋻1584)↞⋁(⋰*⋻3841⫠↝⫳)⫳≱↱⋰*⋻2480∴⋰*⋻1334≨(⪫⨮⊛⋰*⋻927))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":379,"operation_count":11,"complexity_ratio":34.45454545454545,"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":2759,"base":11},"right_expr":{"type":"numeric_atoms","value":2674,"base":11}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4040,"base":11},"right_expr":{"type":"numeric_atoms","value":2028,"base":11}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":5006,"base":11}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3234,"base":11},"right_expr":{"type":"numeric_atoms","value":1731,"base":11}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1118,"base":11}}}}},"used_operators":["xRrnTEsQ6j","bl5wxAcryP","oWn0xqSxBt","T2fj7uvVaJ","ZvLB05nZmT","RqrPlJkxDo","Noe24qw2ks","8n5YIzOsVS","0KMCeP1Jsh","hrf7POJlIJ","w5FWba1tyO"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","nCS4ZIUYfx","Z2TMIBDE3Q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2759","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=2759, right_input=2674, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-101","layer":1},{"info":"number node, value=4040","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=4040, right_input=2028, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8080","layer":3},{"info":"number node, value=5006","layer":4},{"info":"compute unary expreesion, input=5006, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=160815","layer":3},{"info":"compute binary expreesion, left_input=-8080, right_input=160815, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=3234","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=1731, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8116","layer":3},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1118","layer":3},{"info":"compute binary expreesion, left_input=8116, right_input=1118, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-78684","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-78684, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-101, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊙↵-(⋰*⋻2089⋓⋰*⋻2011))↰)⫁⪎((⋰*⋻3043⨐⋰*⋻1584)↞⋁(⋰*⋻3841⫠↝⫳)⫳≱↱⋰*⋻2480∴⋰*⋻1334≨(⪫⨮⊛⋰*⋻927))=NaN","reverse_text":"NaN=((⊙↵-(⋰*⋻2089⋓⋰*⋻2011))↰)⫁⪎((⋰*⋻3043⨐⋰*⋻1584)↞⋁(⋰*⋻3841⫠↝⫳)⫳≱↱⋰*⋻2480∴⋰*⋻1334≨(⪫⨮⊛⋰*⋻927))","cot":[{"info":"⋰*⋻2089⋓⋰*⋻2011=⋰*⋻0","layer":3},{"info":"⊙↵-⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0↰=⋰*⋻-92","layer":1},{"info":"⋰*⋻3043⨐⋰*⋻1584=⋰*⋻-6086","layer":3},{"info":"⋰*⋻3841⫠↝⫳=⋰*⋻AA906","layer":3},{"info":"⋰*⋻-6086↞⋁⋰*⋻AA906=NaN","layer":2},{"info":"⋰*⋻2480∴⋰*⋻1334=⋰*⋻6109","layer":3},{"info":"⪫⨮⊛⋰*⋻927=⋰*⋻927","layer":3},{"info":"⋰*⋻6109≨⋰*⋻927=⋰*⋻-54131","layer":2},{"info":"NaN⫳≱↱⋰*⋻-54131=NaN","layer":1},{"info":"⋰*⋻-92⫁⪎NaN=NaN","layer":0}]}
{"id":558,"expression_no_base_symbol":"(($2488$⇄$5717$⨑≵⋬($1197$⇼⇔∾$7669$))+⇶⊼(($4039$↺$3325$)≃($1815$∪⫐$7481$)))⪮%⊝(⫎≠⋺($1140$∀⇚≩$2954$⪨⊡$3629$⇣⩺⋵$6633$))","expression":"((⋰*⋻1962⇄⋰*⋻4328⨑≵⋬(⋰*⋻999⇼⇔∾⋰*⋻5842))+⇶⊼((⋰*⋻3042↺⋰*⋻2553)≃(⋰*⋻1400∪⫐⋰*⋻5691)))⪮%⊝(⫎≠⋺(⋰*⋻947∀⇚≩⋰*⋻2246⪨⊡⋰*⋻27AA⇣⩺⋵⋰*⋻4A90))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8128,"operation_count":12,"complexity_ratio":677.3333333333334,"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":2488,"base":11},"right_expr":{"type":"numeric_atoms","value":5717,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1197,"base":11},"right_expr":{"type":"numeric_atoms","value":7669,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4039,"base":11},"right_expr":{"type":"numeric_atoms","value":3325,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1815,"base":11},"right_expr":{"type":"numeric_atoms","value":7481,"base":11}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1140,"base":11},"right_expr":{"type":"numeric_atoms","value":2954,"base":11}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3629,"base":11},"right_expr":{"type":"numeric_atoms","value":6633,"base":11}}}}},"used_operators":["IWmyXbctLI","TpPTUOHfaN","XnXgA4xnOs","3EYGwJThht","tifHPKVTfV","YbVcJGFEVW","7j4O788W3g","7YooWSwCyH","LYeZOJ0nQG","kuIXHzHcAH","LRNGc0VcxI","F4yD0voBRQ"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","X99M06cbEe","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2488","layer":4},{"info":"number node, value=5717","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=5717, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=7669","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=7669, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6472","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6472, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-43925","layer":2},{"info":"number node, value=4039","layer":4},{"info":"number node, value=3325","layer":4},{"info":"compute binary expreesion, left_input=4039, right_input=3325, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3325","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=7481","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=7481, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1815","layer":3},{"info":"compute binary expreesion, left_input=3325, right_input=1815, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-13340","layer":2},{"info":"compute binary expreesion, left_input=-43925, right_input=-13340, 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=1140","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=2954, 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=3629","layer":4},{"info":"number node, value=6633","layer":4},{"info":"compute binary expreesion, left_input=3629, right_input=6633, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=1829","layer":2},{"info":"compute unary expreesion, input=1829, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1962⇄⋰*⋻4328⨑≵⋬(⋰*⋻999⇼⇔∾⋰*⋻5842))+⇶⊼((⋰*⋻3042↺⋰*⋻2553)≃(⋰*⋻1400∪⫐⋰*⋻5691)))⪮%⊝(⫎≠⋺(⋰*⋻947∀⇚≩⋰*⋻2246⪨⊡⋰*⋻27AA⇣⩺⋵⋰*⋻4A90))=NaN","reverse_text":"NaN=((⋰*⋻1962⇄⋰*⋻4328⨑≵⋬(⋰*⋻999⇼⇔∾⋰*⋻5842))+⇶⊼((⋰*⋻3042↺⋰*⋻2553)≃(⋰*⋻1400∪⫐⋰*⋻5691)))⪮%⊝(⫎≠⋺(⋰*⋻947∀⇚≩⋰*⋻2246⪨⊡⋰*⋻27AA⇣⩺⋵⋰*⋻4A90))","cot":[{"info":"⋰*⋻1962⇄⋰*⋻4328=⋰*⋻0","layer":3},{"info":"⋰*⋻999⇼⇔∾⋰*⋻5842=⋰*⋻4954","layer":3},{"info":"⋰*⋻0⨑≵⋬⋰*⋻4954=⋰*⋻-30002","layer":2},{"info":"⋰*⋻3042↺⋰*⋻2553=⋰*⋻2553","layer":3},{"info":"⋰*⋻1400∪⫐⋰*⋻5691=⋰*⋻1400","layer":3},{"info":"⋰*⋻2553≃⋰*⋻1400=⋰*⋻-A028","layer":2},{"info":"⋰*⋻-30002+⇶⊼⋰*⋻-A028=NaN","layer":1},{"info":"⋰*⋻947∀⇚≩⋰*⋻2246=NaN","layer":3},{"info":"⋰*⋻27AA⇣⩺⋵⋰*⋻4A90=⋰*⋻-217","layer":3},{"info":"NaN⪨⊡⋰*⋻-217=⋰*⋻1413","layer":2},{"info":"⫎≠⋺⋰*⋻1413=⋰*⋻0","layer":1},{"info":"NaN⪮%⊝⋰*⋻0=NaN","layer":0}]}
{"id":559,"expression_no_base_symbol":"(⨈⫕$1533$↳≱$4033$⋣⋖($4321$⩷∴$1155$))⊉≛↸(⪫⨮⊛($1766$+⪬∐$2902$))⨭⪣($4293$↳∿⪆$3967$-$1374$≬⋮$1884$)","expression":"(⨈⫕⋰*⋻1174↳≱⋰*⋻3037⋣⋖(⋰*⋻3279⩷∴⋰*⋻960))⊉≛↸(⪫⨮⊛(⋰*⋻1366+⪬∐⋰*⋻21A9))⨭⪣(⋰*⋻3253↳∿⪆⋰*⋻2A87-⋰*⋻103A≬⋮⋰*⋻1463)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":113583,"operation_count":11,"complexity_ratio":10325.727272727272,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1533,"base":11},"right_expr":{"type":"numeric_atoms","value":4033,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4321,"base":11},"right_expr":{"type":"numeric_atoms","value":1155,"base":11}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1766,"base":11},"right_expr":{"type":"numeric_atoms","value":2902,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4293,"base":11},"right_expr":{"type":"numeric_atoms","value":3967,"base":11}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1374,"base":11},"right_expr":{"type":"numeric_atoms","value":1884,"base":11}}}}},"used_operators":["DZ8iAZOCBD","megm06wKyl","J0M6qkBnIM","JwTKLfZU96","9FxExcQeMw","kn8WO9XteQ","w5FWba1tyO","2GS7woTJqF","rysDP5nf3Z","Cw4SuJJGHO","kbkesczE7y"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","g55IO6H4Gj","D4vGDi5EA2","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⋰*⋻-39","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1533","layer":4},{"info":"number node, value=4033","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=4033, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=4321","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=4321, right_input=1155, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6300","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6300, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; 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":"number node, value=1766","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=2902, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5298","layer":3},{"info":"compute unary expreesion, input=-5298, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=4293","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=4293, right_input=3967, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1374","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=1884, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-21, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":0}],"base":11,"result_base":11,"text":"(⨈⫕⋰*⋻1174↳≱⋰*⋻3037⋣⋖(⋰*⋻3279⩷∴⋰*⋻960))⊉≛↸(⪫⨮⊛(⋰*⋻1366+⪬∐⋰*⋻21A9))⨭⪣(⋰*⋻3253↳∿⪆⋰*⋻2A87-⋰*⋻103A≬⋮⋰*⋻1463)=⋰*⋻-39","reverse_text":"⋰*⋻-39=(⨈⫕⋰*⋻1174↳≱⋰*⋻3037⋣⋖(⋰*⋻3279⩷∴⋰*⋻960))⊉≛↸(⪫⨮⊛(⋰*⋻1366+⪬∐⋰*⋻21A9))⨭⪣(⋰*⋻3253↳∿⪆⋰*⋻2A87-⋰*⋻103A≬⋮⋰*⋻1463)","cot":[{"info":"⋰*⋻1174↳≱⋰*⋻3037=⋰*⋻0","layer":3},{"info":"⋰*⋻3279⩷∴⋰*⋻960=⋰*⋻4808","layer":3},{"info":"⋰*⋻0⋣⋖⋰*⋻4808=⋰*⋻0","layer":2},{"info":"⨈⫕⋰*⋻0=⋰*⋻-1A","layer":1},{"info":"⋰*⋻1366+⪬∐⋰*⋻21A9=⋰*⋻-3A87","layer":3},{"info":"⪫⨮⊛⋰*⋻-3A87=NaN","layer":2},{"info":"⋰*⋻3253↳∿⪆⋰*⋻2A87=NaN","layer":3},{"info":"⋰*⋻103A≬⋮⋰*⋻1463=⋰*⋻71A","layer":3},{"info":"NaN-⋰*⋻71A=NaN","layer":2},{"info":"NaN⨭⪣NaN=⋰*⋻-1A","layer":1},{"info":"⋰*⋻-1A⊉≛↸⋰*⋻-1A=⋰*⋻-39","layer":0}]}
{"id":560,"expression_no_base_symbol":"((↥≼⋛$1830$⋥⋵⩄$1228$)⋭≵($2319$⫉⨲⊜$4914$↱$1194$≧⫂∧$1414$))⩺⪪(($7714$⋓$2786$)⊱⇼⊻$1491$⪬$5367$⪨≂(∡($5412$⨲∙)))","expression":"((↥≼⋛⋰*⋻1414⋥⋵⩄⋰*⋻A17)⋭≵(⋰*⋻1819⫉⨲⊜⋰*⋻3768↱⋰*⋻996≧⫂∧⋰*⋻1076))⩺⪪((⋰*⋻5883⋓⋰*⋻2103)⊱⇼⊻⋰*⋻1136⪬⋰*⋻403A⪨≂(∡(⋰*⋻4080⨲∙)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1341,"operation_count":13,"complexity_ratio":103.15384615384616,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1830,"base":11},"right_expr":{"type":"numeric_atoms","value":1228,"base":11}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2319,"base":11},"right_expr":{"type":"numeric_atoms","value":4914,"base":11}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1194,"base":11},"right_expr":{"type":"numeric_atoms","value":1414,"base":11}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7714,"base":11},"right_expr":{"type":"numeric_atoms","value":2786,"base":11}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1491,"base":11},"right_expr":{"type":"numeric_atoms","value":5367,"base":11}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":5412,"base":11}}}}},"used_operators":["uvdQJvN4PV","jBncVCNhdl","x5lMkHmzsq","7t3wd0Fuz7","SR5kFfdi6N","WhqkvtTD3t","Ph9nP6C5qx","sdazOOVcIp","FyVja0WsTP","T2fj7uvVaJ","Ez1Nq5fNfI","pRsWfj4Fpp","cRahaglYVE"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG"],"result":"-Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1228, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=2319","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=4914, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=1414, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=941","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=941, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2301","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=-2301, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=260","layer":1},{"info":"number node, value=7714","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=7714, right_input=2786, 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=1491","layer":4},{"info":"number node, value=5367","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=5367, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":2},{"info":"number node, value=5412","layer":4},{"info":"compute unary expreesion, input=5412, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=71143398","layer":3},{"info":"compute unary expreesion, input=71143398, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-71143398","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=-71143398, 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=142287306","layer":1},{"info":"compute binary expreesion, left_input=260, right_input=142287306, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-inf","layer":0}],"base":11,"result_base":11,"text":"((↥≼⋛⋰*⋻1414⋥⋵⩄⋰*⋻A17)⋭≵(⋰*⋻1819⫉⨲⊜⋰*⋻3768↱⋰*⋻996≧⫂∧⋰*⋻1076))⩺⪪((⋰*⋻5883⋓⋰*⋻2103)⊱⇼⊻⋰*⋻1136⪬⋰*⋻403A⪨≂(∡(⋰*⋻4080⨲∙)))=-Inf","reverse_text":"-Inf=((↥≼⋛⋰*⋻1414⋥⋵⩄⋰*⋻A17)⋭≵(⋰*⋻1819⫉⨲⊜⋰*⋻3768↱⋰*⋻996≧⫂∧⋰*⋻1076))⩺⪪((⋰*⋻5883⋓⋰*⋻2103)⊱⇼⊻⋰*⋻1136⪬⋰*⋻403A⪨≂(∡(⋰*⋻4080⨲∙)))","cot":[{"info":"⋰*⋻1414⋥⋵⩄⋰*⋻A17=⋰*⋻A3","layer":3},{"info":"↥≼⋛⋰*⋻A3=⋰*⋻-A3","layer":2},{"info":"⋰*⋻1819⫉⨲⊜⋰*⋻3768=⋰*⋻0","layer":3},{"info":"⋰*⋻996≧⫂∧⋰*⋻1076=⋰*⋻786","layer":3},{"info":"⋰*⋻0↱⋰*⋻786=⋰*⋻-1802","layer":2},{"info":"⋰*⋻-A3⋭≵⋰*⋻-1802=⋰*⋻217","layer":1},{"info":"⋰*⋻5883⋓⋰*⋻2103=⋰*⋻0","layer":3},{"info":"⋰*⋻1136⪬⋰*⋻403A=⋰*⋻A22","layer":3},{"info":"⋰*⋻0⊱⇼⊻⋰*⋻A22=⋰*⋻176","layer":2},{"info":"⋰*⋻4080⨲∙=⋰*⋻371820A7","layer":3},{"info":"∡⋰*⋻371820A7=⋰*⋻-371820A7","layer":2},{"info":"⋰*⋻176⪨≂⋰*⋻-371820A7=⋰*⋻73354617","layer":1},{"info":"⋰*⋻217⩺⪪⋰*⋻73354617=-Inf","layer":0}]}
{"id":561,"expression_no_base_symbol":"((⇉-⫰$2571$)⊭↱$6636$⨂≜$1535$⋷($4234$⪨⊡$1487$)∼($1048$⊝⪿⪼$7263$))⋕⪉⪜((⊁⨺$6135$)⊋($3039$⪇≇⋚$4173$)⩺⪪(⫇($1804$⋝⋈⪟$1425$)))","expression":"((⇉-⫰⋰*⋻1A28)⊭↱⋰*⋻4A93⨂≜⋰*⋻1176⋷(⋰*⋻31AA⪨⊡⋰*⋻1132)∼(⋰*⋻873⊝⪿⪼⋰*⋻5503))⋕⪉⪜((⊁⨺⋰*⋻4678)⊋(⋰*⋻2313⪇≇⋚⋰*⋻3154)⩺⪪(⫇(⋰*⋻13A0⋝⋈⪟⋰*⋻1086)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6991,"operation_count":14,"complexity_ratio":499.35714285714283,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2571,"base":11}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6636,"base":11},"right_expr":{"type":"numeric_atoms","value":1535,"base":11}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4234,"base":11},"right_expr":{"type":"numeric_atoms","value":1487,"base":11}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1048,"base":11},"right_expr":{"type":"numeric_atoms","value":7263,"base":11}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":6135,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3039,"base":11},"right_expr":{"type":"numeric_atoms","value":4173,"base":11}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1804,"base":11},"right_expr":{"type":"numeric_atoms","value":1425,"base":11}}}}},"used_operators":["z6LnFrNh4i","23Mk6UjR3U","COABgblf1C","IGFM8TAlm9","k1SHOSEABc","DyGG3AbaNP","kuIXHzHcAH","3Oe9XWJUTD","uvdQJvN4PV","W4tP9CfskL","PxiHyQbrIp","3sJ7IOPOlU","YjI8oCXuph","2DDjHMKMc0"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻176","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2571","layer":4},{"info":"compute unary expreesion, input=2571, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=6636","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=6636, right_input=1535, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4234","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=4234, right_input=1487, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=7263","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=7263, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25652","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=25652, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=6135","layer":4},{"info":"compute unary expreesion, input=6135, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=3039","layer":4},{"info":"number node, value=4173","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=4173, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":2},{"info":"number node, value=1804","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=1425, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1804","layer":3},{"info":"compute unary expreesion, input=1804, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2394","layer":2},{"info":"compute binary expreesion, left_input=-5454, right_input=-2394, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":11,"result_base":11,"text":"((⇉-⫰⋰*⋻1A28)⊭↱⋰*⋻4A93⨂≜⋰*⋻1176⋷(⋰*⋻31AA⪨⊡⋰*⋻1132)∼(⋰*⋻873⊝⪿⪼⋰*⋻5503))⋕⪉⪜((⊁⨺⋰*⋻4678)⊋(⋰*⋻2313⪇≇⋚⋰*⋻3154)⩺⪪(⫇(⋰*⋻13A0⋝⋈⪟⋰*⋻1086)))=⋰*⋻176","reverse_text":"⋰*⋻176=((⇉-⫰⋰*⋻1A28)⊭↱⋰*⋻4A93⨂≜⋰*⋻1176⋷(⋰*⋻31AA⪨⊡⋰*⋻1132)∼(⋰*⋻873⊝⪿⪼⋰*⋻5503))⋕⪉⪜((⊁⨺⋰*⋻4678)⊋(⋰*⋻2313⪇≇⋚⋰*⋻3154)⩺⪪(⫇(⋰*⋻13A0⋝⋈⪟⋰*⋻1086)))","cot":[{"info":"⇉-⫰⋰*⋻1A28=⋰*⋻19","layer":3},{"info":"⋰*⋻4A93⨂≜⋰*⋻1176=NaN","layer":3},{"info":"⋰*⋻19⊭↱NaN=NaN","layer":2},{"info":"⋰*⋻31AA⪨⊡⋰*⋻1132=⋰*⋻0","layer":3},{"info":"⋰*⋻873⊝⪿⪼⋰*⋻5503=⋰*⋻18300","layer":3},{"info":"⋰*⋻0∼⋰*⋻18300=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⊁⨺⋰*⋻4678=⋰*⋻136","layer":3},{"info":"⋰*⋻2313⪇≇⋚⋰*⋻3154=⋰*⋻0","layer":3},{"info":"⋰*⋻136⊋⋰*⋻0=⋰*⋻-4109","layer":2},{"info":"⋰*⋻13A0⋝⋈⪟⋰*⋻1086=⋰*⋻13A0","layer":3},{"info":"⫇⋰*⋻13A0=⋰*⋻-1887","layer":2},{"info":"⋰*⋻-4109⩺⪪⋰*⋻-1887=⋰*⋻-1403","layer":1},{"info":"NaN⋕⪉⪜⋰*⋻-1403=⋰*⋻176","layer":0}]}
{"id":562,"expression_no_base_symbol":"↨⩢⫨(↘($1624$⨫⇇↔$1548$∕⩚$2128$⩌⋺$1132$))","expression":"↨⩢⫨(↘(⋰*⋻1247⨫⇇↔⋰*⋻1188∕⩚⋰*⋻1665⩌⋺⋰*⋻93A))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":109,"operation_count":5,"complexity_ratio":21.8,"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":1624,"base":11},"right_expr":{"type":"numeric_atoms","value":1548,"base":11}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2128,"base":11},"right_expr":{"type":"numeric_atoms","value":1132,"base":11}}}}},"used_operators":["Z5CJsN7DuW","LdNpr8hQHL","z9ffQ9n5Zr","LXhwmt4mBO","g7Hmc5v1ko"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","uFcxV4UQCh","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1624","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=1548, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2128","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=2128, right_input=1132, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3381","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-3381, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=297","layer":1},{"info":"compute unary expreesion, input=297, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":11,"result_base":11,"text":"↨⩢⫨(↘(⋰*⋻1247⨫⇇↔⋰*⋻1188∕⩚⋰*⋻1665⩌⋺⋰*⋻93A))=⋰*⋻0","reverse_text":"⋰*⋻0=↨⩢⫨(↘(⋰*⋻1247⨫⇇↔⋰*⋻1188∕⩚⋰*⋻1665⩌⋺⋰*⋻93A))","cot":[{"info":"⋰*⋻1247⨫⇇↔⋰*⋻1188=⋰*⋻-43A","layer":3},{"info":"⋰*⋻1665⩌⋺⋰*⋻93A=⋰*⋻-25A4","layer":3},{"info":"⋰*⋻-43A∕⩚⋰*⋻-25A4=⋰*⋻-403","layer":2},{"info":"↘⋰*⋻-403=⋰*⋻250","layer":1},{"info":"↨⩢⫨⋰*⋻250=⋰*⋻0","layer":0}]}
{"id":563,"expression_no_base_symbol":"((($4433$↪⪝)⨐⩸⫘($2737$⇗⋫))⫰⋱$4386$≀⫉$2935$⩒⫫($3693$↛⩡⫤))⫁(($2305$⋾⨃∁$2147$)⨐($2509$⩺⋐⫨)⊴(($2373$⨕⋳)⨰($1061$⋻⩜⩜$1073$)))","expression":"(((⋰*⋻3370↪⪝)⨐⩸⫘(⋰*⋻2069⇗⋫))⫰⋱⋰*⋻3328≀⫉⋰*⋻2229⩒⫫(⋰*⋻2858↛⩡⫤))⫁((⋰*⋻1806⋾⨃∁⋰*⋻1682)⨐(⋰*⋻1981⩺⋐⫨)⊴((⋰*⋻1868⨕⋳)⨰(⋰*⋻885⋻⩜⩜⋰*⋻896)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4675624,"operation_count":15,"complexity_ratio":311708.26666666666,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4433,"base":11}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":2737,"base":11}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4386,"base":11},"right_expr":{"type":"numeric_atoms","value":2935,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3693,"base":11}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2305,"base":11},"right_expr":{"type":"numeric_atoms","value":2147,"base":11}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":2509,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2373,"base":11}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1061,"base":11},"right_expr":{"type":"numeric_atoms","value":1073,"base":11}}}}},"used_operators":["0ajvFaJAv0","6o9Blt3TJ6","fu6greOZ01","l07mrZUIn9","hpqmaQFPrd","KFSx94NKJn","oZj3VtZNQx","FU0Cs4j7VP","Nsiff2A1zJ","Noe24qw2ks","212REbPD9h","yS9ePUuUdn","eewbuw0ToL","4X4GscPmMf","oDCm7WA9JY"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","rxpJgHHUmx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4433","layer":4},{"info":"compute unary expreesion, input=4433, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=271219806","layer":3},{"info":"number node, value=2737","layer":4},{"info":"compute unary expreesion, input=2737, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=271219806, 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=4386","layer":4},{"info":"number node, value=2935","layer":4},{"info":"compute binary expreesion, left_input=4386, right_input=2935, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=3693","layer":4},{"info":"compute unary expreesion, input=3693, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-553732","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-553732, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2520","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2520, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=2305","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=2147, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=46070232","layer":3},{"info":"number node, value=2509","layer":4},{"info":"compute unary expreesion, input=2509, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=46070232, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-92140464","layer":2},{"info":"number node, value=2373","layer":4},{"info":"compute unary expreesion, input=2373, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=128452","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1073, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2122","layer":3},{"info":"compute binary expreesion, left_input=128452, right_input=2122, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=126340","layer":2},{"info":"compute binary expreesion, left_input=-92140464, right_input=126340, 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 = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3370↪⪝)⨐⩸⫘(⋰*⋻2069⇗⋫))⫰⋱⋰*⋻3328≀⫉⋰*⋻2229⩒⫫(⋰*⋻2858↛⩡⫤))⫁((⋰*⋻1806⋾⨃∁⋰*⋻1682)⨐(⋰*⋻1981⩺⋐⫨)⊴((⋰*⋻1868⨕⋳)⨰(⋰*⋻885⋻⩜⩜⋰*⋻896)))=⋰*⋻136","reverse_text":"⋰*⋻136=(((⋰*⋻3370↪⪝)⨐⩸⫘(⋰*⋻2069⇗⋫))⫰⋱⋰*⋻3328≀⫉⋰*⋻2229⩒⫫(⋰*⋻2858↛⩡⫤))⫁((⋰*⋻1806⋾⨃∁⋰*⋻1682)⨐(⋰*⋻1981⩺⋐⫨)⊴((⋰*⋻1868⨕⋳)⨰(⋰*⋻885⋻⩜⩜⋰*⋻896)))","cot":[{"info":"⋰*⋻3370↪⪝=⋰*⋻12A107500","layer":3},{"info":"⋰*⋻2069⇗⋫=NaN","layer":3},{"info":"⋰*⋻12A107500⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻3328≀⫉⋰*⋻2229=⋰*⋻2136","layer":3},{"info":"⋰*⋻2858↛⩡⫤=⋰*⋻-349033","layer":3},{"info":"⋰*⋻2136⩒⫫⋰*⋻-349033=⋰*⋻1991","layer":2},{"info":"NaN⫰⋱⋰*⋻1991=NaN","layer":1},{"info":"⋰*⋻1806⋾⨃∁⋰*⋻1682=⋰*⋻2400727A","layer":3},{"info":"⋰*⋻1981⩺⋐⫨=⋰*⋻0","layer":3},{"info":"⋰*⋻2400727A⨐⋰*⋻0=⋰*⋻-48013549","layer":2},{"info":"⋰*⋻1868⨕⋳=⋰*⋻88565","layer":3},{"info":"⋰*⋻885⋻⩜⩜⋰*⋻896=⋰*⋻165A","layer":3},{"info":"⋰*⋻88565⨰⋰*⋻165A=⋰*⋻86A15","layer":2},{"info":"⋰*⋻-48013549⊴⋰*⋻86A15=NaN","layer":1},{"info":"NaN⫁NaN=⋰*⋻136","layer":0}]}
{"id":564,"expression_no_base_symbol":"(⋼∭⪍($1451$⪍↜⋙$5730$⪹))≀⩗∶(($4516$⇼⇔∾$1516$)∌$1246$∌$1034$)⋹⋡⊁(≱⇩⩕($1063$∪⫐$1769$))","expression":"(⋼∭⪍(⋰*⋻10AA⪍↜⋙⋰*⋻433A⪹))≀⩗∶((⋰*⋻3436⇼⇔∾⋰*⋻1159)∌⋰*⋻A33∌⋰*⋻860)⋹⋡⊁(≱⇩⩕(⋰*⋻887∪⫐⋰*⋻1369))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":118,"operation_count":10,"complexity_ratio":11.8,"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":1451,"base":11},"right_expr":{"type":"numeric_atoms","value":5730,"base":11}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4516,"base":11},"right_expr":{"type":"numeric_atoms","value":1516,"base":11}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1246,"base":11},"right_expr":{"type":"numeric_atoms","value":1034,"base":11}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1063,"base":11},"right_expr":{"type":"numeric_atoms","value":1769,"base":11}}}}},"used_operators":["8INZBEW696","DbCuESL50I","B3sABdIn96","L05ObWFQCd","As8RqfVLgs","8cLx32lpNA","tifHPKVTfV","3DZMoQKiUl","7YooWSwCyH"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rJVOvQCfKK","2DDjHMKMc0"],"result":"⋰*⋻3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1451","layer":4},{"info":"number node, value=5730","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=5730, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-19498","layer":3},{"info":"compute unary expreesion, input=-19498, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=-33442","layer":2},{"info":"compute unary expreesion, input=-33442, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-200550","layer":1},{"info":"number node, value=4516","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=4516, right_input=1516, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3000","layer":3},{"info":"number node, value=1246","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=1034, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1034","layer":3},{"info":"compute binary expreesion, left_input=-3000, right_input=-1034, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3000","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1769, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1063","layer":3},{"info":"compute unary expreesion, input=1063, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-3000, right_input=113, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=47738","layer":1},{"info":"compute binary expreesion, left_input=-200550, right_input=47738, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":0}],"base":11,"result_base":11,"text":"(⋼∭⪍(⋰*⋻10AA⪍↜⋙⋰*⋻433A⪹))≀⩗∶((⋰*⋻3436⇼⇔∾⋰*⋻1159)∌⋰*⋻A33∌⋰*⋻860)⋹⋡⊁(≱⇩⩕(⋰*⋻887∪⫐⋰*⋻1369))=⋰*⋻3","reverse_text":"⋰*⋻3=(⋼∭⪍(⋰*⋻10AA⪍↜⋙⋰*⋻433A⪹))≀⩗∶((⋰*⋻3436⇼⇔∾⋰*⋻1159)∌⋰*⋻A33∌⋰*⋻860)⋹⋡⊁(≱⇩⩕(⋰*⋻887∪⫐⋰*⋻1369))","cot":[{"info":"⋰*⋻10AA⪍↜⋙⋰*⋻433A=⋰*⋻-13716","layer":3},{"info":"⋰*⋻-13716⪹=⋰*⋻-23142","layer":2},{"info":"⋼∭⪍⋰*⋻-23142=⋰*⋻-127749","layer":1},{"info":"⋰*⋻3436⇼⇔∾⋰*⋻1159=⋰*⋻-2288","layer":3},{"info":"⋰*⋻A33∌⋰*⋻860=⋰*⋻-860","layer":3},{"info":"⋰*⋻-2288∌⋰*⋻-860=⋰*⋻-2288","layer":2},{"info":"⋰*⋻887∪⫐⋰*⋻1369=⋰*⋻887","layer":3},{"info":"≱⇩⩕⋰*⋻887=⋰*⋻A3","layer":2},{"info":"⋰*⋻-2288⋹⋡⊁⋰*⋻A3=⋰*⋻32959","layer":1},{"info":"⋰*⋻-127749≀⩗∶⋰*⋻32959=⋰*⋻3","layer":0}]}
{"id":565,"expression_no_base_symbol":"(⇜($1037$⇴∐$4709$)≨($6195$⪛$4289$))⋹⋡⊁(⫶⊄≣((⫛⫱⨽$1162$)⫉⨲⊜$1523$∌$3208$))","expression":"(⇜(⋰*⋻863⇴∐⋰*⋻35A1)≨(⋰*⋻4722⪛⋰*⋻324A))⋹⋡⊁(⫶⊄≣((⫛⫱⨽⋰*⋻967)⫉⨲⊜⋰*⋻1165∌⋰*⋻2457))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":68321,"operation_count":9,"complexity_ratio":7591.222222222223,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1037,"base":11},"right_expr":{"type":"numeric_atoms","value":4709,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6195,"base":11},"right_expr":{"type":"numeric_atoms","value":4289,"base":11}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1162,"base":11}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1523,"base":11},"right_expr":{"type":"numeric_atoms","value":3208,"base":11}}}}},"used_operators":["As8RqfVLgs","lFBm8KRb8F","0KMCeP1Jsh","HnzytWxmAO","uFcxV4UQCh","wxb3vTeyAj","WhqkvtTD3t","DlLNRPXxWL","8cLx32lpNA"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","eewbuw0ToL","zVYPLywUTj","rGHVDoGpnC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⋰*⋻A1906A1A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=4709","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=4709, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=6195","layer":4},{"info":"number node, value=4289","layer":4},{"info":"compute binary expreesion, left_input=6195, right_input=4289, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1906","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1906, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=nan","layer":1},{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=3208, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3208","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3208, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-3318","layer":2},{"info":"compute unary expreesion, input=-3318, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=198101197","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=198101197, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=198101947","layer":0}],"base":11,"result_base":11,"text":"(⇜(⋰*⋻863⇴∐⋰*⋻35A1)≨(⋰*⋻4722⪛⋰*⋻324A))⋹⋡⊁(⫶⊄≣((⫛⫱⨽⋰*⋻967)⫉⨲⊜⋰*⋻1165∌⋰*⋻2457))=⋰*⋻A1906A1A","reverse_text":"⋰*⋻A1906A1A=(⇜(⋰*⋻863⇴∐⋰*⋻35A1)≨(⋰*⋻4722⪛⋰*⋻324A))⋹⋡⊁(⫶⊄≣((⫛⫱⨽⋰*⋻967)⫉⨲⊜⋰*⋻1165∌⋰*⋻2457))","cot":[{"info":"⋰*⋻863⇴∐⋰*⋻35A1=NaN","layer":3},{"info":"⋰*⋻4722⪛⋰*⋻324A=⋰*⋻1483","layer":3},{"info":"NaN≨⋰*⋻1483=NaN","layer":2},{"info":"⇜NaN=NaN","layer":1},{"info":"⫛⫱⨽⋰*⋻967=⋰*⋻0","layer":3},{"info":"⋰*⋻1165∌⋰*⋻2457=⋰*⋻-2457","layer":3},{"info":"⋰*⋻0⫉⨲⊜⋰*⋻-2457=⋰*⋻-2547","layer":2},{"info":"⫶⊄≣⋰*⋻-2547=⋰*⋻A19063A8","layer":1},{"info":"NaN⋹⋡⊁⋰*⋻A19063A8=⋰*⋻A1906A1A","layer":0}]}
{"id":566,"expression_no_base_symbol":"((⨡↴$1723$⇷$1711$)≝⊰⇂)≠≀((→⩰$2133$⨸$3620$)⋾⨃∁($5647$≝⊿$3444$⨽⪊≇))","expression":"((⨡↴⋰*⋻1327⇷⋰*⋻1316)≝⊰⇂)≠≀((→⩰⋰*⋻166A⨸⋰*⋻27A1)⋾⨃∁(⋰*⋻4274≝⊿⋰*⋻2651⨽⪊≇))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":59176,"operation_count":9,"complexity_ratio":6575.111111111111,"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":1723,"base":11},"right_expr":{"type":"numeric_atoms","value":1711,"base":11}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2133,"base":11},"right_expr":{"type":"numeric_atoms","value":3620,"base":11}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":5647,"base":11},"right_expr":{"type":"numeric_atoms","value":3444,"base":11}}}}},"used_operators":["IwW236VD4Y","htSmYCowi5","liw5iZPkLH","mp7IySMOzn","212REbPD9h","o8Pngz0Tml","KmoU8R5UQR","nlCqmYiOvY","OKKcZfAt5B"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","DlLNRPXxWL","W4YGzv6Whe","P8v4zCKN1o","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","12rbrZMWeM"],"result":"⋰*⋻259","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1723","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=1711, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3422","layer":3},{"info":"compute unary expreesion, input=3422, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4471","layer":2},{"info":"compute unary expreesion, input=4471, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":1},{"info":"number node, value=2133","layer":4},{"info":"number node, value=3620","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=3620, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4266","layer":3},{"info":"compute unary expreesion, input=4266, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=5647","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=5647, right_input=3444, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-13068","layer":3},{"info":"compute unary expreesion, input=-13068, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-26662","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26662, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=inf, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=306","layer":0}],"base":11,"result_base":11,"text":"((⨡↴⋰*⋻1327⇷⋰*⋻1316)≝⊰⇂)≠≀((→⩰⋰*⋻166A⨸⋰*⋻27A1)⋾⨃∁(⋰*⋻4274≝⊿⋰*⋻2651⨽⪊≇))=⋰*⋻259","reverse_text":"⋰*⋻259=((⨡↴⋰*⋻1327⇷⋰*⋻1316)≝⊰⇂)≠≀((→⩰⋰*⋻166A⨸⋰*⋻27A1)⋾⨃∁(⋰*⋻4274≝⊿⋰*⋻2651⨽⪊≇))","cot":[{"info":"⋰*⋻1327⇷⋰*⋻1316=⋰*⋻2631","layer":3},{"info":"⨡↴⋰*⋻2631=⋰*⋻33A5","layer":2},{"info":"⋰*⋻33A5≝⊰⇂=⋰*⋻0","layer":1},{"info":"⋰*⋻166A⨸⋰*⋻27A1=⋰*⋻3229","layer":3},{"info":"→⩰⋰*⋻3229=NaN","layer":2},{"info":"⋰*⋻4274≝⊿⋰*⋻2651=⋰*⋻-9900","layer":3},{"info":"⋰*⋻-9900⨽⪊≇=⋰*⋻-19039","layer":2},{"info":"NaN⋾⨃∁⋰*⋻-19039=Inf","layer":1},{"info":"⋰*⋻0≠≀Inf=⋰*⋻259","layer":0}]}
{"id":567,"expression_no_base_symbol":"((⪨⨬($1153$⫌⩹⨱))⩘)∇⊂⋱($3480$⫁$1299$↙(⩷$6373$))↓((⨛$1207$)↛⩡⫤)","expression":"((⪨⨬(⋰*⋻959⫌⩹⨱))⩘)∇⊂⋱(⋰*⋻2684⫁⋰*⋻A81↙(⩷⋰*⋻4874))↓((⨛⋰*⋻9A8)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":77127,"operation_count":10,"complexity_ratio":7712.7,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1153,"base":11}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3480,"base":11},"right_expr":{"type":"numeric_atoms","value":1299,"base":11}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":6373,"base":11}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1207,"base":11}}}}},"used_operators":["nhYeJWJD5X","wvHyciQT5X","5obUd6DV38","EBcxylXtPf","Af076pWI7l","yyfyN0ffXY","0ajvFaJAv0","1h0rLqGiFr","FU0Cs4j7VP","CoMdbyAt7R"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9ICcGScMcE","dfKe02y8D2","T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","tmPS8pqC7x","DpFCA1CohY","cHh1gJQ2o6","AHs5Up7iyr","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"⋰*⋻224","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3707","layer":3},{"info":"compute unary expreesion, input=3707, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"number node, value=3480","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=1299, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=6373","layer":4},{"info":"compute unary expreesion, input=6373, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-76555","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-76555, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-229665","layer":2},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', 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":"compute binary expreesion, left_input=-229665, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-134, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=268","layer":0}],"base":11,"result_base":11,"text":"((⪨⨬(⋰*⋻959⫌⩹⨱))⩘)∇⊂⋱(⋰*⋻2684⫁⋰*⋻A81↙(⩷⋰*⋻4874))↓((⨛⋰*⋻9A8)↛⩡⫤)=⋰*⋻224","reverse_text":"⋰*⋻224=((⪨⨬(⋰*⋻959⫌⩹⨱))⩘)∇⊂⋱(⋰*⋻2684⫁⋰*⋻A81↙(⩷⋰*⋻4874))↓((⨛⋰*⋻9A8)↛⩡⫤)","cot":[{"info":"⋰*⋻959⫌⩹⨱=⋰*⋻2870","layer":3},{"info":"⪨⨬⋰*⋻2870=⋰*⋻-439","layer":2},{"info":"⋰*⋻-439⩘=⋰*⋻61","layer":1},{"info":"⋰*⋻2684⫁⋰*⋻A81=⋰*⋻136","layer":3},{"info":"⩷⋰*⋻4874=⋰*⋻-52576","layer":3},{"info":"⋰*⋻136↙⋰*⋻-52576=⋰*⋻-147607","layer":2},{"info":"⨛⋰*⋻9A8=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⋰*⋻-147607↓NaN=⋰*⋻-112","layer":1},{"info":"⋰*⋻61∇⊂⋱⋰*⋻-112=⋰*⋻224","layer":0}]}
{"id":568,"expression_no_base_symbol":"(($1171$⋅⇍$4688$⫃⨇$2348$↓$1839$)↑)⨔≚≋($5952$+⪬∐$2913$⪢($4053$⇚⪠))⨟⋌⩍((⨣⨃⇪$2493$)⪭($1205$⊹∫⫚$1652$))","expression":"((⋰*⋻975⋅⇍⋰*⋻3582⫃⨇⋰*⋻1845↓⋰*⋻1422)↑)⨔≚≋(⋰*⋻4521+⪬∐⋰*⋻2209⪢(⋰*⋻3055⇚⪠))⨟⋌⩍((⨣⨃⇪⋰*⋻1967)⪭(⋰*⋻9A6⊹∫⫚⋰*⋻1272))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30235,"operation_count":12,"complexity_ratio":2519.5833333333335,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1171,"base":11},"right_expr":{"type":"numeric_atoms","value":4688,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2348,"base":11},"right_expr":{"type":"numeric_atoms","value":1839,"base":11}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5952,"base":11},"right_expr":{"type":"numeric_atoms","value":2913,"base":11}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":4053,"base":11}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":2493,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1205,"base":11},"right_expr":{"type":"numeric_atoms","value":1652,"base":11}}}}},"used_operators":["Z57zeUYC9z","BThhyOhh10","09Ly4LVMIf","AdZkA7nFnk","Af076pWI7l","rGHVDoGpnC","dWAJyo7jo9","2GS7woTJqF","Loh9y4A90B","j9kHMeSvPp","AcOhelriW5","uWAJUKEvyW"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Tcnh7f0tEr","k8jYdgA6NY","g55IO6H4Gj","D4vGDi5EA2","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","COABgblf1C","xUOZtlo3hN","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1171","layer":4},{"info":"number node, value=4688","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=4688, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2348","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=1839, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-134, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=504","layer":2},{"info":"compute unary expreesion, input=504, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=0","layer":1},{"info":"number node, value=5952","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=5952, right_input=2913, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-17856","layer":3},{"info":"number node, value=4053","layer":4},{"info":"compute unary expreesion, input=4053, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=32853618","layer":3},{"info":"compute binary expreesion, left_input=-17856, right_input=32853618, 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=2493","layer":4},{"info":"compute unary expreesion, input=2493, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1205","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=1652, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-124","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=-124, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, 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 = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻975⋅⇍⋰*⋻3582⫃⨇⋰*⋻1845↓⋰*⋻1422)↑)⨔≚≋(⋰*⋻4521+⪬∐⋰*⋻2209⪢(⋰*⋻3055⇚⪠))⨟⋌⩍((⨣⨃⇪⋰*⋻1967)⪭(⋰*⋻9A6⊹∫⫚⋰*⋻1272))=NaN","reverse_text":"NaN=((⋰*⋻975⋅⇍⋰*⋻3582⫃⨇⋰*⋻1845↓⋰*⋻1422)↑)⨔≚≋(⋰*⋻4521+⪬∐⋰*⋻2209⪢(⋰*⋻3055⇚⪠))⨟⋌⩍((⨣⨃⇪⋰*⋻1967)⪭(⋰*⋻9A6⊹∫⫚⋰*⋻1272))","cot":[{"info":"⋰*⋻975⋅⇍⋰*⋻3582=⋰*⋻-20","layer":3},{"info":"⋰*⋻1845↓⋰*⋻1422=⋰*⋻-112","layer":3},{"info":"⋰*⋻-20⫃⨇⋰*⋻-112=⋰*⋻419","layer":2},{"info":"⋰*⋻419↑=⋰*⋻0","layer":1},{"info":"⋰*⋻4521+⪬∐⋰*⋻2209=⋰*⋻-12463","layer":3},{"info":"⋰*⋻3055⇚⪠=⋰*⋻175AA456","layer":3},{"info":"⋰*⋻-12463⪢⋰*⋻175AA456=NaN","layer":2},{"info":"⨣⨃⇪⋰*⋻1967=⋰*⋻1068","layer":3},{"info":"⋰*⋻9A6⊹∫⫚⋰*⋻1272=⋰*⋻-103","layer":3},{"info":"⋰*⋻1068⪭⋰*⋻-103=⋰*⋻5","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻5=NaN","layer":1},{"info":"⋰*⋻0⨔≚≋NaN=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"(↽≂(($3169$*$1473$)∴≳≥))⋛(($1001$⫰⋱$8580$)⩍⋽⫝̸($1107$⩧⪆$3914$)⫌⩉⩟($4834$≥⨤⩑$3500$)⋥⋵⩄(⫶⊄≣$3743$))","expression":"(↽≂((⋰*⋻2421*⋰*⋻111A)∴≳≥))⋛((⋰*⋻830⫰⋱⋰*⋻64A0)⩍⋽⫝̸(⋰*⋻917⩧⪆⋰*⋻2A39)⫌⩉⩟(⋰*⋻36A5≥⨤⩑⋰*⋻26A2)⋥⋵⩄(⫶⊄≣⋰*⋻28A3))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20500,"operation_count":11,"complexity_ratio":1863.6363636363637,"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":3169,"base":11},"right_expr":{"type":"numeric_atoms","value":1473,"base":11}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1001,"base":11},"right_expr":{"type":"numeric_atoms","value":8580,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1107,"base":11},"right_expr":{"type":"numeric_atoms","value":3914,"base":11}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4834,"base":11},"right_expr":{"type":"numeric_atoms","value":3500,"base":11}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":3743,"base":11}}}}},"used_operators":["YbUVn0Rbpy","u6S6b8DprG","a3N2hFLK0J","9HNa5Wba9A","XIIwhv8d0m","BiWNJpBvwn","6o9Blt3TJ6","Ikt5ks8PT7","7t3wd0Fuz7","gJLn6v0xnP","wxb3vTeyAj"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","W4YGzv6Whe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eewbuw0ToL","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"⋰*⋻-91579","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3169","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=1473, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4667937","layer":3},{"info":"compute unary expreesion, input=4667937, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=18671748","layer":2},{"info":"compute unary expreesion, input=18671748, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-37343496","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=8580","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=8580, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-968","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=3914","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=3914, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3914","layer":3},{"info":"compute binary expreesion, left_input=-968, right_input=-3914, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2473","layer":2},{"info":"number node, value=4834","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=4834, right_input=3500, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=3743","layer":4},{"info":"compute unary expreesion, input=3743, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=252244945","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=252244945, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=2473, right_input=113, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=-37343496, right_input=-50, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-133791","layer":0}],"base":11,"result_base":11,"text":"(↽≂((⋰*⋻2421*⋰*⋻111A)∴≳≥))⋛((⋰*⋻830⫰⋱⋰*⋻64A0)⩍⋽⫝̸(⋰*⋻917⩧⪆⋰*⋻2A39)⫌⩉⩟(⋰*⋻36A5≥⨤⩑⋰*⋻26A2)⋥⋵⩄(⫶⊄≣⋰*⋻28A3))=⋰*⋻-91579","reverse_text":"⋰*⋻-91579=(↽≂((⋰*⋻2421*⋰*⋻111A)∴≳≥))⋛((⋰*⋻830⫰⋱⋰*⋻64A0)⩍⋽⫝̸(⋰*⋻917⩧⪆⋰*⋻2A39)⫌⩉⩟(⋰*⋻36A5≥⨤⩑⋰*⋻26A2)⋥⋵⩄(⫶⊄≣⋰*⋻28A3))","cot":[{"info":"⋰*⋻2421*⋰*⋻111A=⋰*⋻26A90AA","layer":3},{"info":"⋰*⋻26A90AA∴≳≥=⋰*⋻A5A33A7","layer":2},{"info":"↽≂⋰*⋻A5A33A7=⋰*⋻-1A0967A3","layer":1},{"info":"⋰*⋻830⫰⋱⋰*⋻64A0=⋰*⋻-800","layer":3},{"info":"⋰*⋻917⩧⪆⋰*⋻2A39=⋰*⋻-2A39","layer":3},{"info":"⋰*⋻-800⩍⋽⫝̸⋰*⋻-2A39=⋰*⋻1949","layer":2},{"info":"⋰*⋻36A5≥⨤⩑⋰*⋻26A2=⋰*⋻A22","layer":3},{"info":"⫶⊄≣⋰*⋻28A3=⋰*⋻11A4273A7","layer":3},{"info":"⋰*⋻A22⋥⋵⩄⋰*⋻11A4273A7=⋰*⋻A3","layer":2},{"info":"⋰*⋻1949⫌⩉⩟⋰*⋻A3=⋰*⋻-46","layer":1},{"info":"⋰*⋻-1A0967A3⋛⋰*⋻-46=⋰*⋻-91579","layer":0}]}
{"id":570,"expression_no_base_symbol":"↩($1359$⨽$4357$)≎⊠⪸$4910$≠≀$1070$↺$3066$⪟⇏$2989$↳≱($2191$⨶)","expression":"↩(⋰*⋻1026⨽⋰*⋻3301)≎⊠⪸⋰*⋻3764≠≀⋰*⋻893↺⋰*⋻2338⪟⇏⋰*⋻2278↳≱(⋰*⋻1712⨶)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1535,"operation_count":8,"complexity_ratio":191.875,"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":1359,"base":11},"right_expr":{"type":"numeric_atoms","value":4357,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4910,"base":11},"right_expr":{"type":"numeric_atoms","value":1070,"base":11}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3066,"base":11},"right_expr":{"type":"numeric_atoms","value":2989,"base":11}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":2191,"base":11}}}}},"used_operators":["jLgFTUHLKL","7j4O788W3g","bJkvcejdHO","8HhzD0ZcuI","IwW236VD4Y","JwTKLfZU96","GODebY97qR","rFxw8gIMmB"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","f6k1SAg4EE","Qy55tPpLXF"],"result":"⋰*⋻3704","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":4},{"info":"number node, value=4357","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=4357, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5552400","layer":3},{"info":"number node, value=4910","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=4910, right_input=1070, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9514","layer":3},{"info":"compute binary expreesion, left_input=-5552400, right_input=-9514, 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=3066","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=2989, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2191","layer":4},{"info":"compute unary expreesion, input=2191, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=2636","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2636, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, 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 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":11,"result_base":11,"text":"↩(⋰*⋻1026⨽⋰*⋻3301)≎⊠⪸⋰*⋻3764≠≀⋰*⋻893↺⋰*⋻2338⪟⇏⋰*⋻2278↳≱(⋰*⋻1712⨶)=⋰*⋻3704","reverse_text":"⋰*⋻3704=↩(⋰*⋻1026⨽⋰*⋻3301)≎⊠⪸⋰*⋻3764≠≀⋰*⋻893↺⋰*⋻2338⪟⇏⋰*⋻2278↳≱(⋰*⋻1712⨶)","cot":[{"info":"⋰*⋻1026⨽⋰*⋻3301=⋰*⋻-3152667","layer":3},{"info":"⋰*⋻3764≠≀⋰*⋻893=⋰*⋻-716A","layer":3},{"info":"⋰*⋻-3152667≎⊠⪸⋰*⋻-716A=⋰*⋻61","layer":2},{"info":"⋰*⋻2338⪟⇏⋰*⋻2278=⋰*⋻-1","layer":3},{"info":"⋰*⋻1712⨶=⋰*⋻1A87","layer":3},{"info":"⋰*⋻-1↳≱⋰*⋻1A87=⋰*⋻0","layer":2},{"info":"⋰*⋻61↺⋰*⋻0=⋰*⋻0","layer":1},{"info":"↩⋰*⋻0=⋰*⋻3704","layer":0}]}
{"id":571,"expression_no_base_symbol":"(($1442$⫉⨲⊜$2560$⪨≂$8529$⪮%⊝$1074$)⩷∴($1573$⩌⋺$1368$)⨑⩅≇($8626$⇍⊗$1140$))∼($1028$≃$5298$⫸⊐($4670$⋷$2111$))⊱⇼⊻((≉$3469$)⨔≚≋($2122$⋐⇩⊬))","expression":"((⋰*⋻10A1⫉⨲⊜⋰*⋻1A18⪨≂⋰*⋻6454⪮%⊝⋰*⋻897)⩷∴(⋰*⋻1200⩌⋺⋰*⋻1034)⨑⩅≇(⋰*⋻6532⇍⊗⋰*⋻947))∼(⋰*⋻855≃⋰*⋻3A87⫸⊐(⋰*⋻3566⋷⋰*⋻164A))⊱⇼⊻((≉⋰*⋻2674)⨔≚≋(⋰*⋻165A⋐⇩⊬))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3399,"operation_count":15,"complexity_ratio":226.6,"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":1442,"base":11},"right_expr":{"type":"numeric_atoms","value":2560,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8529,"base":11},"right_expr":{"type":"numeric_atoms","value":1074,"base":11}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1573,"base":11},"right_expr":{"type":"numeric_atoms","value":1368,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":8626,"base":11},"right_expr":{"type":"numeric_atoms","value":1140,"base":11}}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1028,"base":11},"right_expr":{"type":"numeric_atoms","value":5298,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4670,"base":11},"right_expr":{"type":"numeric_atoms","value":2111,"base":11}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3469,"base":11}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2122,"base":11}}}}},"used_operators":["DyGG3AbaNP","9FxExcQeMw","sdazOOVcIp","WhqkvtTD3t","IWmyXbctLI","h92wMvzauj","g7Hmc5v1ko","5uvYHDjeKN","FyVja0WsTP","mqXw5SEYmG","YbVcJGFEVW","23Mk6UjR3U","Z57zeUYC9z","e1ybzncUwg","JuuLT1NoCs"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1442","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=2560, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=8529","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=8529, right_input=1074, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=17374","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=17374, 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=-34646","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=1368, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3062","layer":3},{"info":"number node, value=8626","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=8626, right_input=1140, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-3062, right_input=-244, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-34646, right_input=-55, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-69214","layer":1},{"info":"number node, value=1028","layer":4},{"info":"number node, value=5298","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=5298, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4152","layer":3},{"info":"number node, value=4670","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=2111, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-448","layer":3},{"info":"compute binary expreesion, left_input=-4152, right_input=-448, 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=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":"number node, value=2122","layer":4},{"info":"compute unary expreesion, input=2122, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2122","layer":3},{"info":"compute binary expreesion, left_input=4000, right_input=2122, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=9872, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"compute binary expreesion, left_input=-69214, right_input=434, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻10A1⫉⨲⊜⋰*⋻1A18⪨≂⋰*⋻6454⪮%⊝⋰*⋻897)⩷∴(⋰*⋻1200⩌⋺⋰*⋻1034)⨑⩅≇(⋰*⋻6532⇍⊗⋰*⋻947))∼(⋰*⋻855≃⋰*⋻3A87⫸⊐(⋰*⋻3566⋷⋰*⋻164A))⊱⇼⊻((≉⋰*⋻2674)⨔≚≋(⋰*⋻165A⋐⇩⊬))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻10A1⫉⨲⊜⋰*⋻1A18⪨≂⋰*⋻6454⪮%⊝⋰*⋻897)⩷∴(⋰*⋻1200⩌⋺⋰*⋻1034)⨑⩅≇(⋰*⋻6532⇍⊗⋰*⋻947))∼(⋰*⋻855≃⋰*⋻3A87⫸⊐(⋰*⋻3566⋷⋰*⋻164A))⊱⇼⊻((≉⋰*⋻2674)⨔≚≋(⋰*⋻165A⋐⇩⊬))","cot":[{"info":"⋰*⋻10A1⫉⨲⊜⋰*⋻1A18=⋰*⋻0","layer":3},{"info":"⋰*⋻6454⪮%⊝⋰*⋻897=⋰*⋻12065","layer":3},{"info":"⋰*⋻0⪨≂⋰*⋻12065=⋰*⋻-24037","layer":2},{"info":"⋰*⋻1200⩌⋺⋰*⋻1034=⋰*⋻-2334","layer":3},{"info":"⋰*⋻6532⇍⊗⋰*⋻947=⋰*⋻-202","layer":3},{"info":"⋰*⋻-2334⨑⩅≇⋰*⋻-202=⋰*⋻-50","layer":2},{"info":"⋰*⋻-24037⩷∴⋰*⋻-50=⋰*⋻-48002","layer":1},{"info":"⋰*⋻855≃⋰*⋻3A87=⋰*⋻-3135","layer":3},{"info":"⋰*⋻3566⋷⋰*⋻164A=⋰*⋻-378","layer":3},{"info":"⋰*⋻-3135⫸⊐⋰*⋻-378=⋰*⋻800","layer":2},{"info":"≉⋰*⋻2674=⋰*⋻3007","layer":3},{"info":"⋰*⋻165A⋐⇩⊬=⋰*⋻165A","layer":3},{"info":"⋰*⋻3007⨔≚≋⋰*⋻165A=⋰*⋻7465","layer":2},{"info":"⋰*⋻800⊱⇼⊻⋰*⋻7465=⋰*⋻365","layer":1},{"info":"⋰*⋻-48002∼⋰*⋻365=⋰*⋻0","layer":0}]}
{"id":572,"expression_no_base_symbol":"(($2173$⋾⨃∁$1765$≭$1164$⊉↱≁$6206$)⩌⋺((∨∊⋏$1306$)↬($6158$⊜)))⇡⇂(⊄⩳↩($7011$⩘$7305$)⇂≾⫗($2396$⩖⊿$1000$))","expression":"((⋰*⋻16A6⋾⨃∁⋰*⋻1365≭⋰*⋻969⊉↱≁⋰*⋻4732)⩌⋺((∨∊⋏⋰*⋻A88)↬(⋰*⋻4699⊜)))⇡⇂(⊄⩳↩(⋰*⋻52A4⩘⋰*⋻5541)⇂≾⫗(⋰*⋻1889⩖⊿⋰*⋻82A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15943,"operation_count":12,"complexity_ratio":1328.5833333333333,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2173,"base":11},"right_expr":{"type":"numeric_atoms","value":1765,"base":11}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1164,"base":11},"right_expr":{"type":"numeric_atoms","value":6206,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1306,"base":11}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":6158,"base":11}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7011,"base":11},"right_expr":{"type":"numeric_atoms","value":7305,"base":11}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2396,"base":11},"right_expr":{"type":"numeric_atoms","value":1000,"base":11}}}}},"used_operators":["UMwdvZNt44","g7Hmc5v1ko","rxpJgHHUmx","212REbPD9h","w2P8NbNXyL","B5M0gjZbta","R5aXW34M0v","Eev2Q7dYIw","8w2t5hMYqp","aBQ6xLxuTc","cHh1gJQ2o6","RZ5CV9rWsJ"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","AHs5Up7iyr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rGHVDoGpnC","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2173","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=1765, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=31130976","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=6206","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=6206, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-26710","layer":3},{"info":"compute binary expreesion, left_input=31130976, right_input=-26710, 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=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=18143","layer":3},{"info":"number node, value=6158","layer":4},{"info":"compute unary expreesion, input=6158, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-22896","layer":3},{"info":"compute binary expreesion, left_input=18143, right_input=-22896, 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 = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=7011","layer":4},{"info":"number node, value=7305","layer":4},{"info":"compute binary expreesion, left_input=7011, right_input=7305, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=1000, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-1666","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1666, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute unary expreesion, input=-670, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=2010","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2010, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻16A6⋾⨃∁⋰*⋻1365≭⋰*⋻969⊉↱≁⋰*⋻4732)⩌⋺((∨∊⋏⋰*⋻A88)↬(⋰*⋻4699⊜)))⇡⇂(⊄⩳↩(⋰*⋻52A4⩘⋰*⋻5541)⇂≾⫗(⋰*⋻1889⩖⊿⋰*⋻82A))=NaN","reverse_text":"NaN=((⋰*⋻16A6⋾⨃∁⋰*⋻1365≭⋰*⋻969⊉↱≁⋰*⋻4732)⩌⋺((∨∊⋏⋰*⋻A88)↬(⋰*⋻4699⊜)))⇡⇂(⊄⩳↩(⋰*⋻52A4⩘⋰*⋻5541)⇂≾⫗(⋰*⋻1889⩖⊿⋰*⋻82A))","cot":[{"info":"⋰*⋻16A6⋾⨃∁⋰*⋻1365=⋰*⋻16633188","layer":3},{"info":"⋰*⋻969⊉↱≁⋰*⋻4732=⋰*⋻-19082","layer":3},{"info":"⋰*⋻16633188≭⋰*⋻-19082=NaN","layer":2},{"info":"∨∊⋏⋰*⋻A88=⋰*⋻126A4","layer":3},{"info":"⋰*⋻4699⊜=⋰*⋻-16225","layer":3},{"info":"⋰*⋻126A4↬⋰*⋻-16225=NaN","layer":2},{"info":"NaN⩌⋺NaN=NaN","layer":1},{"info":"⋰*⋻52A4⩘⋰*⋻5541=⋰*⋻136","layer":3},{"info":"⋰*⋻1889⩖⊿⋰*⋻82A=⋰*⋻-1285","layer":3},{"info":"⋰*⋻136⇂≾⫗⋰*⋻-1285=⋰*⋻-55A","layer":2},{"info":"⊄⩳↩⋰*⋻-55A=⋰*⋻1568","layer":1},{"info":"NaN⇡⇂⋰*⋻1568=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"($5871$⫢⨠$6430$⪉⨛$1018$∳⫺$3493$⫚↹⊑(⊑($1783$⊹∫⫚$4772$)))⪉⨛(⊲⪭(≱⇩⩕$2669$)≁↽≥(⫛⫱⨽$1328$))","expression":"(⋰*⋻4458⫢⨠⋰*⋻4916⪉⨛⋰*⋻846∳⫺⋰*⋻2696⫚↹⊑(⊑(⋰*⋻1381⊹∫⫚⋰*⋻3649)))⪉⨛(⊲⪭(≱⇩⩕⋰*⋻2007)≁↽≥(⫛⫱⨽⋰*⋻AA8))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2102,"operation_count":11,"complexity_ratio":191.0909090909091,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5871,"base":11},"right_expr":{"type":"numeric_atoms","value":6430,"base":11}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":3493,"base":11}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1783,"base":11},"right_expr":{"type":"numeric_atoms","value":4772,"base":11}}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2669,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1328,"base":11}}}}},"used_operators":["EWw2JM7wp4","dfKe02y8D2","xlXykHWxX1","AzXXKTstlj","IkUmn0D7oy","uWAJUKEvyW","k7HXdKtiEU","ncHt1X6cMc","3DZMoQKiUl","DlLNRPXxWL"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","i8ToyICDmI","xUOZtlo3hN","oWn0xqSxBt","3Oe9XWJUTD","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rGHVDoGpnC"],"result":"⋰*⋻-4AA","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5871","layer":4},{"info":"number node, value=6430","layer":4},{"info":"compute binary expreesion, left_input=5871, right_input=6430, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=3493","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=3493, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2852","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2852, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=9251","layer":2},{"info":"number node, value=1783","layer":4},{"info":"number node, value=4772","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=4772, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-316","layer":3},{"info":"compute unary expreesion, input=-316, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=9251, right_input=192, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=2669","layer":4},{"info":"compute unary expreesion, input=2669, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-174, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-604","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4458⫢⨠⋰*⋻4916⪉⨛⋰*⋻846∳⫺⋰*⋻2696⫚↹⊑(⊑(⋰*⋻1381⊹∫⫚⋰*⋻3649)))⪉⨛(⊲⪭(≱⇩⩕⋰*⋻2007)≁↽≥(⫛⫱⨽⋰*⋻AA8))=⋰*⋻-4AA","reverse_text":"⋰*⋻-4AA=(⋰*⋻4458⫢⨠⋰*⋻4916⪉⨛⋰*⋻846∳⫺⋰*⋻2696⫚↹⊑(⊑(⋰*⋻1381⊹∫⫚⋰*⋻3649)))⪉⨛(⊲⪭(≱⇩⩕⋰*⋻2007)≁↽≥(⫛⫱⨽⋰*⋻AA8))","cot":[{"info":"⋰*⋻4458⫢⨠⋰*⋻4916=⋰*⋻136","layer":3},{"info":"⋰*⋻846∳⫺⋰*⋻2696=⋰*⋻-2163","layer":3},{"info":"⋰*⋻136⪉⨛⋰*⋻-2163=⋰*⋻6A50","layer":2},{"info":"⋰*⋻1381⊹∫⫚⋰*⋻3649=⋰*⋻-268","layer":3},{"info":"⊑⋰*⋻-268=⋰*⋻165","layer":2},{"info":"⋰*⋻6A50⫚↹⊑⋰*⋻165=⋰*⋻-377","layer":1},{"info":"≱⇩⩕⋰*⋻2007=⋰*⋻A3","layer":3},{"info":"⫛⫱⨽⋰*⋻AA8=⋰*⋻0","layer":3},{"info":"⋰*⋻A3≁↽≥⋰*⋻0=⋰*⋻0","layer":2},{"info":"⊲⪭⋰*⋻0=⋰*⋻-149","layer":1},{"info":"⋰*⋻-377⪉⨛⋰*⋻-149=⋰*⋻-4AA","layer":0}]}
{"id":574,"expression_no_base_symbol":"⊤⊝(⊖∈$2762$⩣⫁∢$5245$)⪢((≯$3731$)∌↝($2780$⋥≓≎$2691$))","expression":"⊤⊝(⊖∈⋰*⋻2091⩣⫁∢⋰*⋻3A39)⪢((≯⋰*⋻2892)∌↝(⋰*⋻20A8⋥≓≎⋰*⋻2027))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":659234165,"operation_count":7,"complexity_ratio":94176309.28571428,"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":2762,"base":11},"right_expr":{"type":"numeric_atoms","value":5245,"base":11}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":3731,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2780,"base":11},"right_expr":{"type":"numeric_atoms","value":2691,"base":11}}}}},"used_operators":["rXAclfmB4M","dWAJyo7jo9","YFxL8Sc2Zy","JDUIKTTSIa","9Isq31Ruls","keWfFq85dY","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","k8jYdgA6NY","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2762","layer":4},{"info":"number node, value=5245","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=5245, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5363","layer":3},{"info":"compute unary expreesion, input=-5363, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=576367586","layer":2},{"info":"number node, value=3731","layer":4},{"info":"compute unary expreesion, input=3731, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2780","layer":4},{"info":"number node, value=2691","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=2691, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2635","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2635, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-7905","layer":2},{"info":"compute binary expreesion, left_input=576367586, right_input=-7905, 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 = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊤⊝(⊖∈⋰*⋻2091⩣⫁∢⋰*⋻3A39)⪢((≯⋰*⋻2892)∌↝(⋰*⋻20A8⋥≓≎⋰*⋻2027))=NaN","reverse_text":"NaN=⊤⊝(⊖∈⋰*⋻2091⩣⫁∢⋰*⋻3A39)⪢((≯⋰*⋻2892)∌↝(⋰*⋻20A8⋥≓≎⋰*⋻2027))","cot":[{"info":"⋰*⋻2091⩣⫁∢⋰*⋻3A39=⋰*⋻-4036","layer":3},{"info":"⊖∈⋰*⋻-4036=⋰*⋻276387553","layer":2},{"info":"≯⋰*⋻2892=⋰*⋻0","layer":3},{"info":"⋰*⋻20A8⋥≓≎⋰*⋻2027=⋰*⋻1A86","layer":3},{"info":"⋰*⋻0∌↝⋰*⋻1A86=⋰*⋻-5A37","layer":2},{"info":"⋰*⋻276387553⪢⋰*⋻-5A37=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
{"id":575,"expression_no_base_symbol":"((($1255$⨿$3079$)⪚⩙≫)∖($2363$↼⊘⨖$6192$)⪟⇏($1471$⨚⇆$3876$))⩦(($5767$↳≱$7069$⫸⇳($7816$⫭))⊪)","expression":"(((⋰*⋻A41⨿⋰*⋻234A)⪚⩙≫)∖(⋰*⋻1859↼⊘⨖⋰*⋻471A)⪟⇏(⋰*⋻1118⨚⇆⋰*⋻2A04))⩦((⋰*⋻4373↳≱⋰*⋻5347⫸⇳(⋰*⋻5966⫭))⊪)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10910,"operation_count":11,"complexity_ratio":991.8181818181819,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1255,"base":11},"right_expr":{"type":"numeric_atoms","value":3079,"base":11}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2363,"base":11},"right_expr":{"type":"numeric_atoms","value":6192,"base":11}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1471,"base":11},"right_expr":{"type":"numeric_atoms","value":3876,"base":11}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5767,"base":11},"right_expr":{"type":"numeric_atoms","value":7069,"base":11}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":7816,"base":11}}}}},"used_operators":["0kmYd0q39Y","tXD093vOjl","4n53wtyJvv","abYXlopdE0","GODebY97qR","bPywburJMS","lwHaAYXP2r","zVYPLywUTj","gx7XJ7hdpj","JwTKLfZU96","t4WUHVGj7f"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=3079, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"number node, value=2363","layer":4},{"info":"number node, value=6192","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=6192, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12162","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=3876, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12162, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=5767","layer":4},{"info":"number node, value=7069","layer":4},{"info":"compute binary expreesion, left_input=5767, right_input=7069, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=7816","layer":4},{"info":"compute unary expreesion, input=7816, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=23689","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=23689, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻A41⨿⋰*⋻234A)⪚⩙≫)∖(⋰*⋻1859↼⊘⨖⋰*⋻471A)⪟⇏(⋰*⋻1118⨚⇆⋰*⋻2A04))⩦((⋰*⋻4373↳≱⋰*⋻5347⫸⇳(⋰*⋻5966⫭))⊪)=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻A41⨿⋰*⋻234A)⪚⩙≫)∖(⋰*⋻1859↼⊘⨖⋰*⋻471A)⪟⇏(⋰*⋻1118⨚⇆⋰*⋻2A04))⩦((⋰*⋻4373↳≱⋰*⋻5347⫸⇳(⋰*⋻5966⫭))⊪)","cot":[{"info":"⋰*⋻A41⨿⋰*⋻234A=⋰*⋻-270","layer":3},{"info":"⋰*⋻-270⪚⩙≫=NaN","layer":2},{"info":"⋰*⋻1859↼⊘⨖⋰*⋻471A=⋰*⋻9157","layer":3},{"info":"⋰*⋻1118⨚⇆⋰*⋻2A04=NaN","layer":3},{"info":"⋰*⋻9157⪟⇏NaN=⋰*⋻-1","layer":2},{"info":"NaN∖⋰*⋻-1=⋰*⋻0","layer":1},{"info":"⋰*⋻4373↳≱⋰*⋻5347=⋰*⋻0","layer":3},{"info":"⋰*⋻5966⫭=⋰*⋻16886","layer":3},{"info":"⋰*⋻0⫸⇳⋰*⋻16886=⋰*⋻0","layer":2},{"info":"⋰*⋻0⊪=⋰*⋻0","layer":1},{"info":"⋰*⋻0⩦⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":576,"expression_no_base_symbol":"⪡⇡≛(($1785$⋭≵$1223$)≦↸($5380$⨸⪁$3577$)-($1005$⇼⇔∾$1210$)⪟⇏(⇙⪊$4140$))","expression":"⪡⇡≛((⋰*⋻1383⋭≵⋰*⋻A12)≦↸(⋰*⋻4051⨸⪁⋰*⋻2762)-(⋰*⋻834⇼⇔∾⋰*⋻A00)⪟⇏(⇙⪊⋰*⋻3124))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":164,"operation_count":8,"complexity_ratio":20.5,"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":1785,"base":11},"right_expr":{"type":"numeric_atoms","value":1223,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5380,"base":11},"right_expr":{"type":"numeric_atoms","value":3577,"base":11}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":1210,"base":11}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":4140,"base":11}}}}},"used_operators":["qL4PrbW1Dq","rysDP5nf3Z","RygbFNSyEJ","jBncVCNhdl","g55IO6H4Gj","GODebY97qR","tifHPKVTfV","pB6Fcnrjim"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"⋰*⋻-24564","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1785","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=1223, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=5380","layer":4},{"info":"number node, value=3577","layer":4},{"info":"compute binary expreesion, left_input=5380, right_input=3577, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17914","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=17914, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-35281","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1210, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=205","layer":3},{"info":"number node, value=4140","layer":4},{"info":"compute unary expreesion, input=4140, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=205, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-35281, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-35281","layer":1},{"info":"compute unary expreesion, input=-35281, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-35281","layer":0}],"base":11,"result_base":11,"text":"⪡⇡≛((⋰*⋻1383⋭≵⋰*⋻A12)≦↸(⋰*⋻4051⨸⪁⋰*⋻2762)-(⋰*⋻834⇼⇔∾⋰*⋻A00)⪟⇏(⇙⪊⋰*⋻3124))=⋰*⋻-24564","reverse_text":"⋰*⋻-24564=⪡⇡≛((⋰*⋻1383⋭≵⋰*⋻A12)≦↸(⋰*⋻4051⨸⪁⋰*⋻2762)-(⋰*⋻834⇼⇔∾⋰*⋻A00)⪟⇏(⇙⪊⋰*⋻3124))","cot":[{"info":"⋰*⋻1383⋭≵⋰*⋻A12=⋰*⋻61","layer":3},{"info":"⋰*⋻4051⨸⪁⋰*⋻2762=⋰*⋻12506","layer":3},{"info":"⋰*⋻61≦↸⋰*⋻12506=⋰*⋻-24564","layer":2},{"info":"⋰*⋻834⇼⇔∾⋰*⋻A00=⋰*⋻177","layer":3},{"info":"⇙⪊⋰*⋻3124=⋰*⋻0","layer":3},{"info":"⋰*⋻177⪟⇏⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-24564-⋰*⋻0=⋰*⋻-24564","layer":1},{"info":"⪡⇡≛⋰*⋻-24564=⋰*⋻-24564","layer":0}]}
{"id":577,"expression_no_base_symbol":"($1349$↳≱$3592$⇽⩪)↳∿⪆($1620$≃$7261$⩹$5510$⫁$1185$)⪶≀⋏(($1399$/$6208$)⇍⊗(↑$1608$))⇂≾⫗($3340$⪭≯$1327$⩵∡$3690$⇷$1354$)","expression":"(⋰*⋻1017↳≱⋰*⋻2776⇽⩪)↳∿⪆(⋰*⋻1243≃⋰*⋻5501⩹⋰*⋻415A⫁⋰*⋻988)⪶≀⋏((⋰*⋻1062/⋰*⋻4734)⇍⊗(↑⋰*⋻1232))⇂≾⫗(⋰*⋻2567⪭≯⋰*⋻AA7⩵∡⋰*⋻2855⇷⋰*⋻1021)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":54646,"operation_count":14,"complexity_ratio":3903.285714285714,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1349,"base":11},"right_expr":{"type":"numeric_atoms","value":3592,"base":11}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1620,"base":11},"right_expr":{"type":"numeric_atoms","value":7261,"base":11}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5510,"base":11},"right_expr":{"type":"numeric_atoms","value":1185,"base":11}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1399,"base":11},"right_expr":{"type":"numeric_atoms","value":6208,"base":11}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1608,"base":11}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3340,"base":11},"right_expr":{"type":"numeric_atoms","value":1327,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3690,"base":11},"right_expr":{"type":"numeric_atoms","value":1354,"base":11}}}}},"used_operators":["zR4jO40bMj","Cw4SuJJGHO","FonBHBYJbU","JwTKLfZU96","2Wsdkap16l","YbVcJGFEVW","0ajvFaJAv0","aBQ6xLxuTc","5uvYHDjeKN","XhwjNDsVaA","tR7O2zTn5j","Y7wcNGrDQJ","XAx5wpdLa6","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=3592","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=3592, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-510","layer":2},{"info":"number node, value=1620","layer":4},{"info":"number node, value=7261","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=7261, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-6520","layer":3},{"info":"number node, value=5510","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=5510, right_input=1185, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-6520, right_input=160, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=158","layer":2},{"info":"compute binary expreesion, left_input=-510, right_input=158, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1399","layer":4},{"info":"number node, value=6208","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=6208, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=192, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=3340","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=1327, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3690","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=1354, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2708","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2708, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1017↳≱⋰*⋻2776⇽⩪)↳∿⪆(⋰*⋻1243≃⋰*⋻5501⩹⋰*⋻415A⫁⋰*⋻988)⪶≀⋏((⋰*⋻1062/⋰*⋻4734)⇍⊗(↑⋰*⋻1232))⇂≾⫗(⋰*⋻2567⪭≯⋰*⋻AA7⩵∡⋰*⋻2855⇷⋰*⋻1021)=NaN","reverse_text":"NaN=(⋰*⋻1017↳≱⋰*⋻2776⇽⩪)↳∿⪆(⋰*⋻1243≃⋰*⋻5501⩹⋰*⋻415A⫁⋰*⋻988)⪶≀⋏((⋰*⋻1062/⋰*⋻4734)⇍⊗(↑⋰*⋻1232))⇂≾⫗(⋰*⋻2567⪭≯⋰*⋻AA7⩵∡⋰*⋻2855⇷⋰*⋻1021)","cot":[{"info":"⋰*⋻1017↳≱⋰*⋻2776=⋰*⋻0","layer":3},{"info":"⋰*⋻0⇽⩪=⋰*⋻-424","layer":2},{"info":"⋰*⋻1243≃⋰*⋻5501=⋰*⋻-4998","layer":3},{"info":"⋰*⋻415A⫁⋰*⋻988=⋰*⋻136","layer":3},{"info":"⋰*⋻-4998⩹⋰*⋻136=⋰*⋻134","layer":2},{"info":"⋰*⋻-424↳∿⪆⋰*⋻134=NaN","layer":1},{"info":"⋰*⋻1062/⋰*⋻4734=⋰*⋻0","layer":3},{"info":"↑⋰*⋻1232=⋰*⋻165","layer":3},{"info":"⋰*⋻0⇍⊗⋰*⋻165=⋰*⋻-202","layer":2},{"info":"⋰*⋻2567⪭≯⋰*⋻AA7=NaN","layer":3},{"info":"⋰*⋻2855⇷⋰*⋻1021=⋰*⋻2042","layer":3},{"info":"NaN⩵∡⋰*⋻2042=NaN","layer":2},{"info":"⋰*⋻-202⇂≾⫗NaN=NaN","layer":1},{"info":"NaN⪶≀⋏NaN=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"((⩎⋉$1887$)⫞⩸⩒($2056$⊀⩕)⩵∡($1842$⪛$1026$)⩼⇪↪($1081$⫥∨⫟$1178$))⪔⊥(((≛$3609$)⩨$3426$↳∿⪆$1001$)⪉⨛$2264$≝⊿$1830$⊉↱≁(⊗$1520$))","expression":"((⩎⋉⋰*⋻1466)⫞⩸⩒(⋰*⋻15AA⊀⩕)⩵∡(⋰*⋻1425⪛⋰*⋻853)⩼⇪↪(⋰*⋻8A3⫥∨⫟⋰*⋻981))⪔⊥(((≛⋰*⋻2791)⩨⋰*⋻2635↳∿⪆⋰*⋻830)⪉⨛⋰*⋻1779≝⊿⋰*⋻1414⊉↱≁(⊗⋰*⋻1162))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4024,"operation_count":15,"complexity_ratio":268.26666666666665,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1887,"base":11}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":2056,"base":11}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1842,"base":11},"right_expr":{"type":"numeric_atoms","value":1026,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":1178,"base":11}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3609,"base":11}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3426,"base":11},"right_expr":{"type":"numeric_atoms","value":1001,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2264,"base":11},"right_expr":{"type":"numeric_atoms","value":1830,"base":11}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1520,"base":11}}}}},"used_operators":["HJ9erzHUuu","Y7wcNGrDQJ","XGcMNugi78","FlXk3pOYe8","r0FS3hW4cC","ocnLzx9CaJ","uFcxV4UQCh","KYD54nUTWz","EWw2JM7wp4","2DlMacCsIx","W7eaUhjymW","Cw4SuJJGHO","w2P8NbNXyL","OKKcZfAt5B","RhiyfpczSx"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","rGHVDoGpnC","nhYeJWJD5X","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","12rbrZMWeM","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1887","layer":4},{"info":"compute unary expreesion, input=1887, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1650","layer":2},{"info":"number node, value=1842","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=1026, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=816","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1178, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=816, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=3609","layer":4},{"info":"compute unary expreesion, input=3609, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=1001, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10, 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=2264","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=1830, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6457","layer":3},{"info":"number node, value=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3040","layer":3},{"info":"compute binary expreesion, left_input=-6457, right_input=-3040, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-47444","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-47444, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⩎⋉⋰*⋻1466)⫞⩸⩒(⋰*⋻15AA⊀⩕)⩵∡(⋰*⋻1425⪛⋰*⋻853)⩼⇪↪(⋰*⋻8A3⫥∨⫟⋰*⋻981))⪔⊥(((≛⋰*⋻2791)⩨⋰*⋻2635↳∿⪆⋰*⋻830)⪉⨛⋰*⋻1779≝⊿⋰*⋻1414⊉↱≁(⊗⋰*⋻1162))=NaN","reverse_text":"NaN=((⩎⋉⋰*⋻1466)⫞⩸⩒(⋰*⋻15AA⊀⩕)⩵∡(⋰*⋻1425⪛⋰*⋻853)⩼⇪↪(⋰*⋻8A3⫥∨⫟⋰*⋻981))⪔⊥(((≛⋰*⋻2791)⩨⋰*⋻2635↳∿⪆⋰*⋻830)⪉⨛⋰*⋻1779≝⊿⋰*⋻1414⊉↱≁(⊗⋰*⋻1162))","cot":[{"info":"⩎⋉⋰*⋻1466=⋰*⋻1270","layer":3},{"info":"⋰*⋻15AA⊀⩕=⋰*⋻0","layer":3},{"info":"⋰*⋻1270⫞⩸⩒⋰*⋻0=⋰*⋻1270","layer":2},{"info":"⋰*⋻1425⪛⋰*⋻853=⋰*⋻682","layer":3},{"info":"⋰*⋻8A3⫥∨⫟⋰*⋻981=NaN","layer":3},{"info":"⋰*⋻682⩼⇪↪NaN=NaN","layer":2},{"info":"⋰*⋻1270⩵∡NaN=NaN","layer":1},{"info":"≛⋰*⋻2791=⋰*⋻-A","layer":3},{"info":"⋰*⋻2635↳∿⪆⋰*⋻830=NaN","layer":3},{"info":"⋰*⋻-A⩨NaN=NaN","layer":2},{"info":"⋰*⋻1779≝⊿⋰*⋻1414=⋰*⋻-4940","layer":3},{"info":"⊗⋰*⋻1162=⋰*⋻-2314","layer":3},{"info":"⋰*⋻-4940⊉↱≁⋰*⋻-2314=⋰*⋻-32711","layer":2},{"info":"NaN⪉⨛⋰*⋻-32711=NaN","layer":1},{"info":"NaN⪔⊥NaN=NaN","layer":0}]}
{"id":579,"expression_no_base_symbol":"((≘$1001$)≨$4499$⫗⊷⫓$5048$∠↢(($1773$⨘)⩨(⨝⨆$2663$)))⨫⇇↔(((⇨$6092$)⩺⋐⫨)⪗)","expression":"((≘⋰*⋻830)≨⋰*⋻3420⫗⊷⫓⋰*⋻387A∠↢((⋰*⋻1372⨘)⩨(⨝⨆⋰*⋻2001)))⨫⇇↔(((⇨⋰*⋻4639)⩺⋐⫨)⪗)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2813,"operation_count":11,"complexity_ratio":255.72727272727272,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1001,"base":11}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4499,"base":11},"right_expr":{"type":"numeric_atoms","value":5048,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1773,"base":11}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2663,"base":11}}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":6092,"base":11}}}}},"used_operators":["LXhwmt4mBO","KbjG8mgYpV","0KMCeP1Jsh","tcjXMdvYtA","zashukvMKz","2DlMacCsIx","ljcfZBUpm8","bQ67fsrMVf","VEQNXA0ZBg","yS9ePUuUdn","G9tJMlZ94a"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","tifHPKVTfV","dWAJyo7jo9","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","k8jYdgA6NY"],"result":"⋰*⋻-43A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2207989","layer":3},{"info":"number node, value=4499","layer":4},{"info":"number node, value=5048","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=5048, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=2207989, right_input=-134, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-22077414","layer":2},{"info":"number node, value=1773","layer":4},{"info":"compute unary expreesion, input=1773, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-13186","layer":3},{"info":"number node, value=2663","layer":4},{"info":"compute unary expreesion, input=2663, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2454","layer":3},{"info":"compute binary expreesion, left_input=-13186, right_input=2454, 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=-22077414, right_input=3, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=88310696","layer":1},{"info":"number node, value=6092","layer":4},{"info":"compute unary expreesion, input=6092, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=88310696, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":11,"result_base":11,"text":"((≘⋰*⋻830)≨⋰*⋻3420⫗⊷⫓⋰*⋻387A∠↢((⋰*⋻1372⨘)⩨(⨝⨆⋰*⋻2001)))⨫⇇↔(((⇨⋰*⋻4639)⩺⋐⫨)⪗)=⋰*⋻-43A","reverse_text":"⋰*⋻-43A=((≘⋰*⋻830)≨⋰*⋻3420⫗⊷⫓⋰*⋻387A∠↢((⋰*⋻1372⨘)⩨(⨝⨆⋰*⋻2001)))⨫⇇↔(((⇨⋰*⋻4639)⩺⋐⫨)⪗)","cot":[{"info":"≘⋰*⋻830=⋰*⋻1278993","layer":3},{"info":"⋰*⋻3420⫗⊷⫓⋰*⋻387A=⋰*⋻-112","layer":3},{"info":"⋰*⋻1278993≨⋰*⋻-112=⋰*⋻-1150A0A7","layer":2},{"info":"⋰*⋻1372⨘=⋰*⋻-99A8","layer":3},{"info":"⨝⨆⋰*⋻2001=⋰*⋻1931","layer":3},{"info":"⋰*⋻-99A8⩨⋰*⋻1931=⋰*⋻3","layer":2},{"info":"⋰*⋻-1150A0A7∠↢⋰*⋻3=⋰*⋻45938151","layer":1},{"info":"⇨⋰*⋻4639=⋰*⋻0","layer":3},{"info":"⋰*⋻0⩺⋐⫨=⋰*⋻0","layer":2},{"info":"⋰*⋻0⪗=⋰*⋻0","layer":1},{"info":"⋰*⋻45938151⨫⇇↔⋰*⋻0=⋰*⋻-43A","layer":0}]}
{"id":580,"expression_no_base_symbol":"(⩩((⨩∲⋌$1492$)∕⩚$8744$⪚$3533$))⋛(↨⩢⫨($1238$⪛⫼$3088$⪨≂(≸$6810$)))","expression":"(⩩((⨩∲⋌⋰*⋻1137)∕⩚⋰*⋻662A⪚⋰*⋻2722))⋛(↨⩢⫨(⋰*⋻A26⪛⫼⋰*⋻2358⪨≂(≸⋰*⋻5131)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5508,"operation_count":9,"complexity_ratio":612.0,"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":1492,"base":11}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":8744,"base":11},"right_expr":{"type":"numeric_atoms","value":3533,"base":11}}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1238,"base":11},"right_expr":{"type":"numeric_atoms","value":3088,"base":11}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":6810,"base":11}}}}},"used_operators":["YbUVn0Rbpy","kMhfGuqI2H","z9ffQ9n5Zr","aSik1wnThz","HrjLwUk87U","Z5CJsN7DuW","sdazOOVcIp","hyuBjUqXlG","eOf03JbCpp"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2015","layer":3},{"info":"number node, value=8744","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=8744, right_input=3533, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=10066","layer":3},{"info":"compute binary expreesion, left_input=-2015, right_input=10066, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2018","layer":2},{"info":"compute unary expreesion, input=-2018, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=1238","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=3088, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=6810","layer":4},{"info":"compute unary expreesion, input=6810, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=58, 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=1922","layer":2},{"info":"compute unary expreesion, input=1922, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⩩((⨩∲⋌⋰*⋻1137)∕⩚⋰*⋻662A⪚⋰*⋻2722))⋛(↨⩢⫨(⋰*⋻A26⪛⫼⋰*⋻2358⪨≂(≸⋰*⋻5131)))=NaN","reverse_text":"NaN=(⩩((⨩∲⋌⋰*⋻1137)∕⩚⋰*⋻662A⪚⋰*⋻2722))⋛(↨⩢⫨(⋰*⋻A26⪛⫼⋰*⋻2358⪨≂(≸⋰*⋻5131)))","cot":[{"info":"⨩∲⋌⋰*⋻1137=⋰*⋻-1572","layer":3},{"info":"⋰*⋻662A⪚⋰*⋻2722=⋰*⋻7621","layer":3},{"info":"⋰*⋻-1572∕⩚⋰*⋻7621=⋰*⋻-1575","layer":2},{"info":"⩩⋰*⋻-1575=NaN","layer":1},{"info":"⋰*⋻A26⪛⫼⋰*⋻2358=⋰*⋻800","layer":3},{"info":"≸⋰*⋻5131=⋰*⋻53","layer":3},{"info":"⋰*⋻800⪨≂⋰*⋻53=⋰*⋻1498","layer":2},{"info":"↨⩢⫨⋰*⋻1498=⋰*⋻0","layer":1},{"info":"NaN⋛⋰*⋻0=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"(⩰(⨙⪌($5572$∙⊟$3397$)))≁(≔(-$1953$)⫘($2871$⫲≸⪮$2433$))","expression":"(⩰(⨙⪌(⋰*⋻4206∙⊟⋰*⋻2609)))≁(≔(-⋰*⋻1516)⫘(⋰*⋻2180⫲≸⪮⋰*⋻1912))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":225775,"operation_count":8,"complexity_ratio":28221.875,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5572,"base":11},"right_expr":{"type":"numeric_atoms","value":3397,"base":11}}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1953,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2871,"base":11},"right_expr":{"type":"numeric_atoms","value":2433,"base":11}}}}},"used_operators":["8N2wDY1A35","WkeUrDK8WX","vEGLkm4Z2k","SxTAKzQCrw","8FLs4eVsLt","48vC8HMD2b","t8gj7n24qd","P3lXMJvFrc"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⋰*⋻-846389975","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5572","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=5572, right_input=3397, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=82282","layer":3},{"info":"compute unary expreesion, input=82282, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1868","layer":1},{"info":"number node, value=1953","layer":4},{"info":"compute unary expreesion, input=1953, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1953","layer":3},{"info":"number node, value=2871","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=2433, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2871","layer":3},{"info":"compute binary expreesion, left_input=-1953, right_input=2871, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2301133","layer":2},{"info":"compute unary expreesion, input=2301133, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-64430430","layer":1},{"info":"compute binary expreesion, left_input=-1868, right_input=-64430430, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-1804062529","layer":0}],"base":11,"result_base":11,"text":"(⩰(⨙⪌(⋰*⋻4206∙⊟⋰*⋻2609)))≁(≔(-⋰*⋻1516)⫘(⋰*⋻2180⫲≸⪮⋰*⋻1912))=⋰*⋻-846389975","reverse_text":"⋰*⋻-846389975=(⩰(⨙⪌(⋰*⋻4206∙⊟⋰*⋻2609)))≁(≔(-⋰*⋻1516)⫘(⋰*⋻2180⫲≸⪮⋰*⋻1912))","cot":[{"info":"⋰*⋻4206∙⊟⋰*⋻2609=⋰*⋻56902","layer":3},{"info":"⨙⪌⋰*⋻56902=⋰*⋻71A","layer":2},{"info":"⩰⋰*⋻71A=⋰*⋻-1449","layer":1},{"info":"-⋰*⋻1516=⋰*⋻-1516","layer":3},{"info":"⋰*⋻2180⫲≸⪮⋰*⋻1912=⋰*⋻2180","layer":3},{"info":"⋰*⋻-1516⫘⋰*⋻2180=⋰*⋻133196A","layer":2},{"info":"≔⋰*⋻133196A=⋰*⋻-33407599","layer":1},{"info":"⋰*⋻-1449≁⋰*⋻-33407599=⋰*⋻-846389975","layer":0}]}
{"id":582,"expression_no_base_symbol":"((⨰⫟⨤$8120$∺≝⩲$1228$)⨟⋌⩍(↨⩢⫨$2166$)∋($1178$⇔⨋))↹⊜(⨞⊢($5464$≴⪞⇿$1880$⋆⋳))","expression":"((⨰⫟⨤⋰*⋻6112∺≝⩲⋰*⋻A17)⨟⋌⩍(↨⩢⫨⋰*⋻169A)∋(⋰*⋻981⇔⨋))↹⊜(⨞⊢(⋰*⋻4118≴⪞⇿⋰*⋻145A⋆⋳))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6367,"operation_count":10,"complexity_ratio":636.7,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":8120,"base":11},"right_expr":{"type":"numeric_atoms","value":1228,"base":11}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":2166,"base":11}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1178,"base":11}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5464,"base":11},"right_expr":{"type":"numeric_atoms","value":1880,"base":11}}}}},"used_operators":["9bazX3JMtO","rGHVDoGpnC","Tw270M8GLb","KPf6cnQVty","ukq6epAj5P","Z5CJsN7DuW","uBihLCJcMX","xUOZtlo3hN","6MpZysEj17","lvlrscuwVU"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Tcnh7f0tEr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8120","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=8120, right_input=1228, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2166","layer":4},{"info":"compute unary expreesion, input=2166, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=5998","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5998, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=12374184","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12374184, 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=5464","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=5464, right_input=1880, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=53893196","layer":3},{"info":"compute unary expreesion, input=53893196, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-107786424","layer":2},{"info":"compute unary expreesion, input=-107786424, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=107786250","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=107786250, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨰⫟⨤⋰*⋻6112∺≝⩲⋰*⋻A17)⨟⋌⩍(↨⩢⫨⋰*⋻169A)∋(⋰*⋻981⇔⨋))↹⊜(⨞⊢(⋰*⋻4118≴⪞⇿⋰*⋻145A⋆⋳))=NaN","reverse_text":"NaN=((⨰⫟⨤⋰*⋻6112∺≝⩲⋰*⋻A17)⨟⋌⩍(↨⩢⫨⋰*⋻169A)∋(⋰*⋻981⇔⨋))↹⊜(⨞⊢(⋰*⋻4118≴⪞⇿⋰*⋻145A⋆⋳))","cot":[{"info":"⋰*⋻6112∺≝⩲⋰*⋻A17=⋰*⋻136","layer":3},{"info":"⨰⫟⨤⋰*⋻136=NaN","layer":2},{"info":"↨⩢⫨⋰*⋻169A=⋰*⋻0","layer":3},{"info":"⋰*⋻981⇔⨋=⋰*⋻4563","layer":3},{"info":"⋰*⋻0∋⋰*⋻4563=⋰*⋻6A919A9","layer":2},{"info":"NaN⨟⋌⩍⋰*⋻6A919A9=NaN","layer":1},{"info":"⋰*⋻4118≴⪞⇿⋰*⋻145A=⋰*⋻2846A835","layer":3},{"info":"⋰*⋻2846A835⋆⋳=⋰*⋻-5592A599","layer":2},{"info":"⨞⊢⋰*⋻-5592A599=⋰*⋻5592A450","layer":1},{"info":"NaN↹⊜⋰*⋻5592A450=NaN","layer":0}]}
{"id":583,"expression_no_base_symbol":"((≘(⫎≠⋺$3017$))-($2606$⨳⩥⨓$1229$)⩒⫫($2102$⩧⪆$2583$))∠↢((⇉-⫰$1866$)⫃⨇($2875$⊾⪯⋞$1540$))⪪(⨞⊢$5609$⪥$4660$)","expression":"((≘(⫎≠⋺⋰*⋻22A3))-(⋰*⋻1A5A⨳⩥⨓⋰*⋻A18)⩒⫫(⋰*⋻1641⩧⪆⋰*⋻1A39))∠↢((⇉-⫰⋰*⋻1447)⫃⨇(⋰*⋻2184⊾⪯⋞⋰*⋻1180))⪪(⨞⊢⋰*⋻423A⪥⋰*⋻3557)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":362935,"operation_count":13,"complexity_ratio":27918.076923076922,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":3017,"base":11}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2606,"base":11},"right_expr":{"type":"numeric_atoms","value":1229,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2102,"base":11},"right_expr":{"type":"numeric_atoms","value":2583,"base":11}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1866,"base":11}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2875,"base":11},"right_expr":{"type":"numeric_atoms","value":1540,"base":11}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5609,"base":11},"right_expr":{"type":"numeric_atoms","value":4660,"base":11}}}}},"used_operators":["KbjG8mgYpV","rysDP5nf3Z","tcjXMdvYtA","LYeZOJ0nQG","KFSx94NKJn","nCS4ZIUYfx","Ikt5ks8PT7","xD69zh8xqp","09Ly4LVMIf","IGFM8TAlm9","HK0tfVPux8","xUOZtlo3hN","QbnwKVWMIQ"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","eewbuw0ToL","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eH2TOUuTDT","eewbuw0ToL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⋰*⋻114606952","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3017","layer":4},{"info":"compute unary expreesion, input=3017, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=-262","layer":2},{"info":"number node, value=2606","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=1229, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1377","layer":3},{"info":"number node, value=2102","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=2583, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2583","layer":3},{"info":"compute binary expreesion, left_input=-1377, right_input=-2583, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-262, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-422","layer":1},{"info":"number node, value=1866","layer":4},{"info":"compute unary expreesion, input=1866, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=2875","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=1540, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2654","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=2654, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-10648","layer":2},{"info":"number node, value=5609","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=5609, right_input=4660, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=27088","layer":3},{"info":"compute unary expreesion, input=27088, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-27262","layer":2},{"info":"compute binary expreesion, left_input=-10648, right_input=-27262, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-17278926","layer":1},{"info":"compute binary expreesion, left_input=-422, right_input=-17278926, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=241907734","layer":0}],"base":11,"result_base":11,"text":"((≘(⫎≠⋺⋰*⋻22A3))-(⋰*⋻1A5A⨳⩥⨓⋰*⋻A18)⩒⫫(⋰*⋻1641⩧⪆⋰*⋻1A39))∠↢((⇉-⫰⋰*⋻1447)⫃⨇(⋰*⋻2184⊾⪯⋞⋰*⋻1180))⪪(⨞⊢⋰*⋻423A⪥⋰*⋻3557)=⋰*⋻114606952","reverse_text":"⋰*⋻114606952=((≘(⫎≠⋺⋰*⋻22A3))-(⋰*⋻1A5A⨳⩥⨓⋰*⋻A18)⩒⫫(⋰*⋻1641⩧⪆⋰*⋻1A39))∠↢((⇉-⫰⋰*⋻1447)⫃⨇(⋰*⋻2184⊾⪯⋞⋰*⋻1180))⪪(⨞⊢⋰*⋻423A⪥⋰*⋻3557)","cot":[{"info":"⫎≠⋺⋰*⋻22A3=⋰*⋻0","layer":3},{"info":"≘⋰*⋻0=⋰*⋻-219","layer":2},{"info":"⋰*⋻1A5A⨳⩥⨓⋰*⋻A18=⋰*⋻-1042","layer":3},{"info":"⋰*⋻1641⩧⪆⋰*⋻1A39=⋰*⋻-1A39","layer":3},{"info":"⋰*⋻-1042⩒⫫⋰*⋻-1A39=⋰*⋻136","layer":2},{"info":"⋰*⋻-219-⋰*⋻136=⋰*⋻-354","layer":1},{"info":"⇉-⫰⋰*⋻1447=⋰*⋻19","layer":3},{"info":"⋰*⋻2184⊾⪯⋞⋰*⋻1180=⋰*⋻1AA3","layer":3},{"info":"⋰*⋻19⫃⨇⋰*⋻1AA3=⋰*⋻-8000","layer":2},{"info":"⋰*⋻423A⪥⋰*⋻3557=⋰*⋻19396","layer":3},{"info":"⨞⊢⋰*⋻19396=⋰*⋻-19534","layer":2},{"info":"⋰*⋻-8000⪪⋰*⋻-19534=⋰*⋻-9831A05","layer":1},{"info":"⋰*⋻-354∠↢⋰*⋻-9831A05=⋰*⋻114606952","layer":0}]}
{"id":584,"expression_no_base_symbol":"((⇈($2965$⊓⋫))⩵∡($1165$⪑⩈)∑⇟⊟$2095$⨂≜$3332$)⊝⪿⪼(⊢≑≆($1025$↡⊰⫅$2315$⪹))","expression":"((⇈(⋰*⋻2256⊓⋫))⩵∡(⋰*⋻96A⪑⩈)∑⇟⊟⋰*⋻1635⨂≜⋰*⋻255A)⊝⪿⪼(⊢≑≆(⋰*⋻852↡⊰⫅⋰*⋻1815⪹))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35661,"operation_count":10,"complexity_ratio":3566.1,"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":2965,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1165,"base":11}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2095,"base":11},"right_expr":{"type":"numeric_atoms","value":3332,"base":11}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1025,"base":11},"right_expr":{"type":"numeric_atoms","value":2315,"base":11}}}}},"used_operators":["3Oe9XWJUTD","Y7wcNGrDQJ","SLLxy00UIr","IqGBaFP0uj","U7g4x0WXJJ","C6VvDP6HwP","k1SHOSEABc","27wFxooxGf","B3sABdIn96","VCtxkLNOzz"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2965","layer":4},{"info":"compute unary expreesion, input=2965, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3093","layer":3},{"info":"compute unary expreesion, input=-3093, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-1123","layer":3},{"info":"number node, value=2095","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=3332, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1123, 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=-447, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=1025","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=2315, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4630","layer":3},{"info":"compute unary expreesion, input=4630, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=13752","layer":2},{"info":"compute unary expreesion, input=13752, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=55460","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=55460, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇈(⋰*⋻2256⊓⋫))⩵∡(⋰*⋻96A⪑⩈)∑⇟⊟⋰*⋻1635⨂≜⋰*⋻255A)⊝⪿⪼(⊢≑≆(⋰*⋻852↡⊰⫅⋰*⋻1815⪹))=NaN","reverse_text":"NaN=((⇈(⋰*⋻2256⊓⋫))⩵∡(⋰*⋻96A⪑⩈)∑⇟⊟⋰*⋻1635⨂≜⋰*⋻255A)⊝⪿⪼(⊢≑≆(⋰*⋻852↡⊰⫅⋰*⋻1815⪹))","cot":[{"info":"⋰*⋻2256⊓⋫=⋰*⋻-2362","layer":3},{"info":"⇈⋰*⋻-2362=⋰*⋻-377","layer":2},{"info":"⋰*⋻96A⪑⩈=⋰*⋻-931","layer":3},{"info":"⋰*⋻1635⨂≜⋰*⋻255A=NaN","layer":3},{"info":"⋰*⋻-931∑⇟⊟NaN=NaN","layer":2},{"info":"⋰*⋻-377⩵∡NaN=NaN","layer":1},{"info":"⋰*⋻852↡⊰⫅⋰*⋻1815=⋰*⋻352A","layer":3},{"info":"⋰*⋻352A⪹=⋰*⋻A372","layer":2},{"info":"⊢≑≆⋰*⋻A372=⋰*⋻38739","layer":1},{"info":"NaN⊝⪿⪼⋰*⋻38739=NaN","layer":0}]}
{"id":585,"expression_no_base_symbol":"(($4586$⇴$3716$⇋≉)↡⊰⫅(∨∊⋏($9753$⋅⇍$3714$)))⩧⪆(⫓⪴($1256$⋥⋵⩄$1738$≓∲$1421$⇴$1802$))","expression":"((⋰*⋻349A⇴⋰*⋻2879⇋≉)↡⊰⫅(∨∊⋏(⋰*⋻7367⋅⇍⋰*⋻2877)))⩧⪆(⫓⪴(⋰*⋻A42⋥⋵⩄⋰*⋻1340≓∲⋰*⋻1082⇴⋰*⋻1399))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":150592,"operation_count":10,"complexity_ratio":15059.2,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4586,"base":11},"right_expr":{"type":"numeric_atoms","value":3716,"base":11}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":9753,"base":11},"right_expr":{"type":"numeric_atoms","value":3714,"base":11}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1256,"base":11},"right_expr":{"type":"numeric_atoms","value":1738,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1421,"base":11},"right_expr":{"type":"numeric_atoms","value":1802,"base":11}}}}},"used_operators":["Ikt5ks8PT7","VCtxkLNOzz","XIabStNQrY","4JB6nKBMSY","R5aXW34M0v","AdZkA7nFnk","eLxqMNBOBk","s1XTVnmDOJ","7t3wd0Fuz7"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9HNa5Wba9A","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"⋰*⋻-207A541","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4586","layer":4},{"info":"number node, value=3716","layer":4},{"info":"compute binary expreesion, left_input=4586, right_input=3716, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=34562","layer":3},{"info":"compute unary expreesion, input=34562, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=69026","layer":2},{"info":"number node, value=9753","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=9753, right_input=3714, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-10605","layer":2},{"info":"compute binary expreesion, left_input=69026, right_input=-10605, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"number node, value=1256","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=1738, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1421","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1802, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=11744","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=11744, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=1913","layer":2},{"info":"compute unary expreesion, input=1913, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3659569","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3659569, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3659569","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻349A⇴⋰*⋻2879⇋≉)↡⊰⫅(∨∊⋏(⋰*⋻7367⋅⇍⋰*⋻2877)))⩧⪆(⫓⪴(⋰*⋻A42⋥⋵⩄⋰*⋻1340≓∲⋰*⋻1082⇴⋰*⋻1399))=⋰*⋻-207A541","reverse_text":"⋰*⋻-207A541=((⋰*⋻349A⇴⋰*⋻2879⇋≉)↡⊰⫅(∨∊⋏(⋰*⋻7367⋅⇍⋰*⋻2877)))⩧⪆(⫓⪴(⋰*⋻A42⋥⋵⩄⋰*⋻1340≓∲⋰*⋻1082⇴⋰*⋻1399))","cot":[{"info":"⋰*⋻349A⇴⋰*⋻2879=⋰*⋻23A70","layer":3},{"info":"⋰*⋻23A70⇋≉=⋰*⋻47951","layer":2},{"info":"⋰*⋻7367⋅⇍⋰*⋻2877=⋰*⋻-20","layer":3},{"info":"∨∊⋏⋰*⋻-20=⋰*⋻-7A71","layer":2},{"info":"⋰*⋻47951↡⊰⫅⋰*⋻-7A71=NaN","layer":1},{"info":"⋰*⋻A42⋥⋵⩄⋰*⋻1340=⋰*⋻A3","layer":3},{"info":"⋰*⋻1082⇴⋰*⋻1399=⋰*⋻8907","layer":3},{"info":"⋰*⋻A3≓∲⋰*⋻8907=⋰*⋻148A","layer":2},{"info":"⫓⪴⋰*⋻148A=⋰*⋻207A541","layer":1},{"info":"NaN⩧⪆⋰*⋻207A541=⋰*⋻-207A541","layer":0}]}
{"id":586,"expression_no_base_symbol":"(↣≠⋷((≱⇩⩕$2187$)⩷∴(+⊝⨔$1215$)))↬⩅∪","expression":"(↣≠⋷((≱⇩⩕⋰*⋻1709)⩷∴(+⊝⨔⋰*⋻A05)))↬⩅∪","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":81,"operation_count":5,"complexity_ratio":16.2,"tree":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2187,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1215,"base":11}}}}},"used_operators":["VJ330n2nnx","Asc51vEJeQ","9FxExcQeMw","3DZMoQKiUl","DhbWaqg5eL"],"dependent_operators":["D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2187","layer":4},{"info":"compute unary expreesion, input=2187, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, 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=113, right_input=1522, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2850","layer":2},{"info":"compute unary expreesion, input=-2850, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↣≠⋷((≱⇩⩕⋰*⋻1709)⩷∴(+⊝⨔⋰*⋻A05)))↬⩅∪=NaN","reverse_text":"NaN=(↣≠⋷((≱⇩⩕⋰*⋻1709)⩷∴(+⊝⨔⋰*⋻A05)))↬⩅∪","cot":[{"info":"≱⇩⩕⋰*⋻1709=⋰*⋻A3","layer":3},{"info":"+⊝⨔⋰*⋻A05=⋰*⋻1164","layer":3},{"info":"⋰*⋻A3⩷∴⋰*⋻1164=⋰*⋻-2161","layer":2},{"info":"↣≠⋷⋰*⋻-2161=NaN","layer":1},{"info":"NaN↬⩅∪=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"($3770$↓$1550$)⨐($2518$∣$3280$)≥⨤⩑($2504$⇼⇔∾$3222$↱$3206$⪕$2832$)⫚↹⊑(⨦⪝($1071$≒∊$1096$))⊲⩕⊾($1512$∣$2570$⊭↱($1872$⩨$5759$))","expression":"(⋰*⋻2918↓⋰*⋻118A)⨐(⋰*⋻198A∣⋰*⋻2512)≥⨤⩑(⋰*⋻1977⇼⇔∾⋰*⋻246A↱⋰*⋻2455⪕⋰*⋻2145)⫚↹⊑(⨦⪝(⋰*⋻894≒∊⋰*⋻907))⊲⩕⊾(⋰*⋻1155∣⋰*⋻1A27⊭↱(⋰*⋻1452⩨⋰*⋻4366))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":203082,"operation_count":14,"complexity_ratio":14505.857142857143,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3770,"base":11},"right_expr":{"type":"numeric_atoms","value":1550,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2518,"base":11},"right_expr":{"type":"numeric_atoms","value":3280,"base":11}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2504,"base":11},"right_expr":{"type":"numeric_atoms","value":3222,"base":11}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3206,"base":11},"right_expr":{"type":"numeric_atoms","value":2832,"base":11}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":1096,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1512,"base":11},"right_expr":{"type":"numeric_atoms","value":2570,"base":11}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1872,"base":11},"right_expr":{"type":"numeric_atoms","value":5759,"base":11}}}}},"used_operators":["dfKe02y8D2","gJLn6v0xnP","Noe24qw2ks","Af076pWI7l","PPChnnnBFF","SR5kFfdi6N","tifHPKVTfV","umQnsF7QlU","DmTXOeWf9t","SUjycxNXIR","5KTvxBwnZo","COABgblf1C","2DlMacCsIx"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋰*⋻-377","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3770","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=1550, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2518","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=3280, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2518","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=2518, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=268","layer":2},{"info":"number node, value=2504","layer":4},{"info":"number node, value=3222","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=3222, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=718","layer":3},{"info":"number node, value=3206","layer":4},{"info":"number node, value=2832","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=2832, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4481","layer":3},{"info":"compute binary expreesion, left_input=718, right_input=4481, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-12921","layer":2},{"info":"compute binary expreesion, left_input=268, right_input=-12921, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=536","layer":1},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1096, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-587","layer":3},{"info":"compute unary expreesion, input=-587, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=1512","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=2570, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1512","layer":3},{"info":"number node, value=1872","layer":4},{"info":"number node, value=5759","layer":4},{"info":"compute binary expreesion, left_input=1872, right_input=5759, 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=1512, right_input=-9, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3037","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=-3037, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=47364","layer":1},{"info":"compute binary expreesion, left_input=536, right_input=47364, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2918↓⋰*⋻118A)⨐(⋰*⋻198A∣⋰*⋻2512)≥⨤⩑(⋰*⋻1977⇼⇔∾⋰*⋻246A↱⋰*⋻2455⪕⋰*⋻2145)⫚↹⊑(⨦⪝(⋰*⋻894≒∊⋰*⋻907))⊲⩕⊾(⋰*⋻1155∣⋰*⋻1A27⊭↱(⋰*⋻1452⩨⋰*⋻4366))=⋰*⋻-377","reverse_text":"⋰*⋻-377=(⋰*⋻2918↓⋰*⋻118A)⨐(⋰*⋻198A∣⋰*⋻2512)≥⨤⩑(⋰*⋻1977⇼⇔∾⋰*⋻246A↱⋰*⋻2455⪕⋰*⋻2145)⫚↹⊑(⨦⪝(⋰*⋻894≒∊⋰*⋻907))⊲⩕⊾(⋰*⋻1155∣⋰*⋻1A27⊭↱(⋰*⋻1452⩨⋰*⋻4366))","cot":[{"info":"⋰*⋻2918↓⋰*⋻118A=⋰*⋻-112","layer":3},{"info":"⋰*⋻198A∣⋰*⋻2512=⋰*⋻198A","layer":3},{"info":"⋰*⋻-112⨐⋰*⋻198A=⋰*⋻224","layer":2},{"info":"⋰*⋻1977⇼⇔∾⋰*⋻246A=⋰*⋻5A3","layer":3},{"info":"⋰*⋻2455⪕⋰*⋻2145=⋰*⋻3404","layer":3},{"info":"⋰*⋻5A3↱⋰*⋻3404=⋰*⋻-9787","layer":2},{"info":"⋰*⋻224≥⨤⩑⋰*⋻-9787=⋰*⋻448","layer":1},{"info":"⋰*⋻894≒∊⋰*⋻907=⋰*⋻-494","layer":3},{"info":"⨦⪝⋰*⋻-494=⋰*⋻-1463","layer":2},{"info":"⋰*⋻1155∣⋰*⋻1A27=⋰*⋻1155","layer":3},{"info":"⋰*⋻1452⩨⋰*⋻4366=⋰*⋻-9","layer":3},{"info":"⋰*⋻1155⊭↱⋰*⋻-9=⋰*⋻-2311","layer":2},{"info":"⋰*⋻-1463⊲⩕⊾⋰*⋻-2311=⋰*⋻32649","layer":1},{"info":"⋰*⋻448⫚↹⊑⋰*⋻32649=⋰*⋻-377","layer":0}]}
{"id":588,"expression_no_base_symbol":"((∐⩳⋚$4054$)∼(∨∊⋏$2372$))⪝((∐⩳⋚$1709$)∌↝($3536$⨽$4361$))↸((↡(↣≠⋷$5224$))⪹)","expression":"((∐⩳⋚⋰*⋻3056)∼(∨∊⋏⋰*⋻1867))⪝((∐⩳⋚⋰*⋻1314)∌↝(⋰*⋻2725⨽⋰*⋻3305))↸((↡(↣≠⋷⋰*⋻3A1A))⪹)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16063,"operation_count":11,"complexity_ratio":1460.2727272727273,"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":4054,"base":11}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2372,"base":11}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1709,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3536,"base":11},"right_expr":{"type":"numeric_atoms","value":4361,"base":11}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5224,"base":11}}}}},"used_operators":["1eCjFl0mb9","wicAB68Tmb","DyGG3AbaNP","SL6IHkK8vl","R5aXW34M0v","9Isq31Ruls","8HhzD0ZcuI","B3sABdIn96","MXaNJeIAZ3","Asc51vEJeQ"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4054","layer":4},{"info":"compute unary expreesion, input=4054, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=593771","layer":3},{"info":"number node, value=2372","layer":4},{"info":"compute unary expreesion, input=2372, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=43727","layer":3},{"info":"compute binary expreesion, left_input=593771, right_input=43727, 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=1709","layer":4},{"info":"compute unary expreesion, input=1709, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=239676","layer":3},{"info":"number node, value=3536","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=4361, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-37521657","layer":3},{"info":"compute binary expreesion, left_input=239676, right_input=-37521657, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=479352","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=479352, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"number node, value=5224","layer":4},{"info":"compute unary expreesion, input=5224, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((∐⩳⋚⋰*⋻3056)∼(∨∊⋏⋰*⋻1867))⪝((∐⩳⋚⋰*⋻1314)∌↝(⋰*⋻2725⨽⋰*⋻3305))↸((↡(↣≠⋷⋰*⋻3A1A))⪹)=NaN","reverse_text":"NaN=((∐⩳⋚⋰*⋻3056)∼(∨∊⋏⋰*⋻1867))⪝((∐⩳⋚⋰*⋻1314)∌↝(⋰*⋻2725⨽⋰*⋻3305))↸((↡(↣≠⋷⋰*⋻3A1A))⪹)","cot":[{"info":"∐⩳⋚⋰*⋻3056=⋰*⋻376122","layer":3},{"info":"∨∊⋏⋰*⋻1867=⋰*⋻2A942","layer":3},{"info":"⋰*⋻376122∼⋰*⋻2A942=NaN","layer":2},{"info":"∐⩳⋚⋰*⋻1314=⋰*⋻154088","layer":3},{"info":"⋰*⋻2725⨽⋰*⋻3305=⋰*⋻-1A1A8638","layer":3},{"info":"⋰*⋻154088∌↝⋰*⋻-1A1A8638=⋰*⋻2A8165","layer":2},{"info":"NaN⪝⋰*⋻2A8165=NaN","layer":1},{"info":"↣≠⋷⋰*⋻3A1A=NaN","layer":3},{"info":"↡NaN=NaN","layer":2},{"info":"NaN⪹=NaN","layer":1},{"info":"NaN↸NaN=NaN","layer":0}]}
{"id":589,"expression_no_base_symbol":"(-(↴⪽⋼$1862$≬⇓$1481$))⇡⇂(($2274$∌↝$4212$∁)⪥($1334$⨓$1153$)∌($5109$⨳⩥⨓$7794$))","expression":"(-(↴⪽⋼⋰*⋻1443≬⇓⋰*⋻1127))⇡⇂((⋰*⋻1788∌↝⋰*⋻318A∁)⪥(⋰*⋻1003⨓⋰*⋻959)∌(⋰*⋻3925⨳⩥⨓⋰*⋻5946))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12362,"operation_count":10,"complexity_ratio":1236.2,"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":1862,"base":11},"right_expr":{"type":"numeric_atoms","value":1481,"base":11}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2274,"base":11},"right_expr":{"type":"numeric_atoms","value":4212,"base":11}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1334,"base":11},"right_expr":{"type":"numeric_atoms","value":1153,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5109,"base":11},"right_expr":{"type":"numeric_atoms","value":7794,"base":11}}}}},"used_operators":["UMwdvZNt44","t8gj7n24qd","5TUYCnJO6w","jWTQ2TZYIH","QbnwKVWMIQ","jdwGQqwJi5","9Isq31Ruls","8cLx32lpNA","3ViojmjbAp","nCS4ZIUYfx"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","2DDjHMKMc0","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1862","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=1481, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute unary expreesion, input=35822, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-35822","layer":1},{"info":"number node, value=2274","layer":4},{"info":"number node, value=4212","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=4212, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=0","layer":2},{"info":"number node, value=1334","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1153, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1156","layer":3},{"info":"number node, value=5109","layer":4},{"info":"number node, value=7794","layer":4},{"info":"compute binary expreesion, left_input=5109, right_input=7794, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2685","layer":3},{"info":"compute binary expreesion, left_input=-1156, right_input=2685, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1156","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1156, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":1},{"info":"compute binary expreesion, left_input=-35822, right_input=-1798, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(-(↴⪽⋼⋰*⋻1443≬⇓⋰*⋻1127))⇡⇂((⋰*⋻1788∌↝⋰*⋻318A∁)⪥(⋰*⋻1003⨓⋰*⋻959)∌(⋰*⋻3925⨳⩥⨓⋰*⋻5946))=NaN","reverse_text":"NaN=(-(↴⪽⋼⋰*⋻1443≬⇓⋰*⋻1127))⇡⇂((⋰*⋻1788∌↝⋰*⋻318A∁)⪥(⋰*⋻1003⨓⋰*⋻959)∌(⋰*⋻3925⨳⩥⨓⋰*⋻5946))","cot":[{"info":"⋰*⋻1443≬⇓⋰*⋻1127=⋰*⋻-20","layer":3},{"info":"↴⪽⋼⋰*⋻-20=⋰*⋻24A06","layer":2},{"info":"-⋰*⋻24A06=⋰*⋻-24A06","layer":1},{"info":"⋰*⋻1788∌↝⋰*⋻318A=⋰*⋻0","layer":3},{"info":"⋰*⋻0∁=⋰*⋻0","layer":2},{"info":"⋰*⋻1003⨓⋰*⋻959=⋰*⋻-961","layer":3},{"info":"⋰*⋻3925⨳⩥⨓⋰*⋻5946=⋰*⋻2021","layer":3},{"info":"⋰*⋻-961∌⋰*⋻2021=⋰*⋻-961","layer":2},{"info":"⋰*⋻0⪥⋰*⋻-961=⋰*⋻-1395","layer":1},{"info":"⋰*⋻-24A06⇡⇂⋰*⋻-1395=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"((⨙⪌(⨣⨃⇪$1274$))⪎⩰)⫥∨⫟($5261$⋥⋵⩄$2641$)≌(⨵≀≌$4140$)⪎↠(⨆≐≲($8869$∵≐))","expression":"((⨙⪌(⨣⨃⇪⋰*⋻A59))⪎⩰)⫥∨⫟(⋰*⋻3A53⋥⋵⩄⋰*⋻1A91)≌(⨵≀≌⋰*⋻3124)⪎↠(⨆≐≲(⋰*⋻6733∵≐))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14233,"operation_count":10,"complexity_ratio":1423.3,"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":1274,"base":11}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5261,"base":11},"right_expr":{"type":"numeric_atoms","value":2641,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4140,"base":11}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":8869,"base":11}}}}},"used_operators":["KYD54nUTWz","2ufhKmSs5H","vEGLkm4Z2k","AcOhelriW5","3tVxb0NHM4","lyWz822IDG","7t3wd0Fuz7","srAu1WTS94","Bi9z9uYZqW","59igzFyhWz"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":1},{"info":"number node, value=5261","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=5261, right_input=2641, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=4140","layer":4},{"info":"compute unary expreesion, input=4140, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12420","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-12420, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=8869","layer":4},{"info":"compute unary expreesion, input=8869, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=7923","layer":3},{"info":"compute unary expreesion, input=7923, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=86375832","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=86375832, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-34, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨙⪌(⨣⨃⇪⋰*⋻A59))⪎⩰)⫥∨⫟(⋰*⋻3A53⋥⋵⩄⋰*⋻1A91)≌(⨵≀≌⋰*⋻3124)⪎↠(⨆≐≲(⋰*⋻6733∵≐))=NaN","reverse_text":"NaN=((⨙⪌(⨣⨃⇪⋰*⋻A59))⪎⩰)⫥∨⫟(⋰*⋻3A53⋥⋵⩄⋰*⋻1A91)≌(⨵≀≌⋰*⋻3124)⪎↠(⨆≐≲(⋰*⋻6733∵≐))","cot":[{"info":"⨣⨃⇪⋰*⋻A59=⋰*⋻1068","layer":3},{"info":"⨙⪌⋰*⋻1068=⋰*⋻71A","layer":2},{"info":"⋰*⋻71A⪎⩰=⋰*⋻-31","layer":1},{"info":"⋰*⋻3A53⋥⋵⩄⋰*⋻1A91=⋰*⋻A3","layer":3},{"info":"⨵≀≌⋰*⋻3124=⋰*⋻-9371","layer":3},{"info":"⋰*⋻A3≌⋰*⋻-9371=NaN","layer":2},{"info":"⋰*⋻6733∵≐=⋰*⋻5A53","layer":3},{"info":"⨆≐≲⋰*⋻5A53=⋰*⋻44836494","layer":2},{"info":"NaN⪎↠⋰*⋻44836494=NaN","layer":1},{"info":"⋰*⋻-31⫥∨⫟NaN=NaN","layer":0}]}
{"id":591,"expression_no_base_symbol":"↥≼⋛($1243$∷$1400$↪⪝)⨼⩣($4231$⪬∳)⪃⊛⇣(⊙↵-$3500$)","expression":"↥≼⋛(⋰*⋻A30∷⋰*⋻1063↪⪝)⨼⩣(⋰*⋻31A7⪬∳)⪃⊛⇣(⊙↵-⋰*⋻26A2)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":816074,"operation_count":7,"complexity_ratio":116582.0,"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":1243,"base":11},"right_expr":{"type":"numeric_atoms","value":1400,"base":11}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":4231,"base":11}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3500,"base":11}}}}},"used_operators":["x5lMkHmzsq","JxwMv5le6e","l07mrZUIn9","D3AQDKkPcf","rrgAzCduG9","O9U3z1385E","oWn0xqSxBt"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⋰*⋻-A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=1400, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1400","layer":3},{"info":"compute unary expreesion, input=1400, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=85654800","layer":2},{"info":"number node, value=4231","layer":4},{"info":"compute unary expreesion, input=4231, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=3500","layer":4},{"info":"compute unary expreesion, input=3500, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=-1, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=85654800, right_input=1234, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":11,"result_base":11,"text":"↥≼⋛(⋰*⋻A30∷⋰*⋻1063↪⪝)⨼⩣(⋰*⋻31A7⪬∳)⪃⊛⇣(⊙↵-⋰*⋻26A2)=⋰*⋻-A3","reverse_text":"⋰*⋻-A3=↥≼⋛(⋰*⋻A30∷⋰*⋻1063↪⪝)⨼⩣(⋰*⋻31A7⪬∳)⪃⊛⇣(⊙↵-⋰*⋻26A2)","cot":[{"info":"⋰*⋻A30∷⋰*⋻1063=⋰*⋻1063","layer":3},{"info":"⋰*⋻1063↪⪝=⋰*⋻443937A0","layer":2},{"info":"⋰*⋻31A7⪬∳=⋰*⋻-595","layer":3},{"info":"⊙↵-⋰*⋻26A2=⋰*⋻-1","layer":3},{"info":"⋰*⋻-595⪃⊛⇣⋰*⋻-1=⋰*⋻A22","layer":2},{"info":"⋰*⋻443937A0⨼⩣⋰*⋻A22=NaN","layer":1},{"info":"↥≼⋛NaN=⋰*⋻-A3","layer":0}]}
{"id":592,"expression_no_base_symbol":"⪲⇎($8819$⪔$2502$⊹∫⫚$2283$⋹⋡⊁$1585$)≒∊(($2408$≓∲$4420$)⇴∐($1945$↯⫤))","expression":"⪲⇎(⋰*⋻6698⪔⋰*⋻1975⊹∫⫚⋰*⋻1796⋹⋡⊁⋰*⋻1211)≒∊((⋰*⋻189A≓∲⋰*⋻3359)⇴∐(⋰*⋻1509↯⫤))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65266,"operation_count":8,"complexity_ratio":8158.25,"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":8819,"base":11},"right_expr":{"type":"numeric_atoms","value":2502,"base":11}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2283,"base":11},"right_expr":{"type":"numeric_atoms","value":1585,"base":11}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2408,"base":11},"right_expr":{"type":"numeric_atoms","value":4420,"base":11}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1945,"base":11}}}}},"used_operators":["XPYlsWDdGa","5KTvxBwnZo","uWAJUKEvyW","GjBEYRfMaF","As8RqfVLgs","HnzytWxmAO","s1XTVnmDOJ","VwlE7vj6HS"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻A79","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8819","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=8819, right_input=2502, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2283","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=1585, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2335","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=2335, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-164","layer":2},{"info":"number node, value=2408","layer":4},{"info":"number node, value=4420","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=4420, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=24863","layer":3},{"info":"number node, value=1945","layer":4},{"info":"compute unary expreesion, input=1945, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=24863, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=4652","layer":2},{"info":"compute binary expreesion, left_input=-164, right_input=4652, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=648","layer":1},{"info":"compute unary expreesion, input=648, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=1296","layer":0}],"base":11,"result_base":11,"text":"⪲⇎(⋰*⋻6698⪔⋰*⋻1975⊹∫⫚⋰*⋻1796⋹⋡⊁⋰*⋻1211)≒∊((⋰*⋻189A≓∲⋰*⋻3359)⇴∐(⋰*⋻1509↯⫤))=⋰*⋻A79","reverse_text":"⋰*⋻A79=⪲⇎(⋰*⋻6698⪔⋰*⋻1975⊹∫⫚⋰*⋻1796⋹⋡⊁⋰*⋻1211)≒∊((⋰*⋻189A≓∲⋰*⋻3359)⇴∐(⋰*⋻1509↯⫤))","cot":[{"info":"⋰*⋻6698⪔⋰*⋻1975=⋰*⋻37A","layer":3},{"info":"⋰*⋻1796⋹⋡⊁⋰*⋻1211=⋰*⋻1833","layer":3},{"info":"⋰*⋻37A⊹∫⫚⋰*⋻1833=⋰*⋻-13A","layer":2},{"info":"⋰*⋻189A≓∲⋰*⋻3359=⋰*⋻17753","layer":3},{"info":"⋰*⋻1509↯⫤=⋰*⋻0","layer":3},{"info":"⋰*⋻17753⇴∐⋰*⋻0=⋰*⋻354A","layer":2},{"info":"⋰*⋻-13A≒∊⋰*⋻354A=⋰*⋻53A","layer":1},{"info":"⪲⇎⋰*⋻53A=⋰*⋻A79","layer":0}]}
{"id":593,"expression_no_base_symbol":"($2354$∥⊢⊲$3616$⨚($1146$⫃⨇$2542$)∷($2506$∪⫐$3456$)⪭($1789$⩺⪪$2652$))⋥≓≎(⊄⩳↩$3959$⨿$4627$⪛($3997$∲⫓$2236$))","expression":"(⋰*⋻1850∥⊢⊲⋰*⋻2798⨚(⋰*⋻952⫃⨇⋰*⋻1A01)∷(⋰*⋻1979∪⫐⋰*⋻2662)⪭(⋰*⋻1387⩺⪪⋰*⋻1AA1))⋥≓≎(⊄⩳↩⋰*⋻2A7A⨿⋰*⋻3527⪛(⋰*⋻3004∲⫓⋰*⋻1753))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":414,"operation_count":12,"complexity_ratio":34.5,"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":2354,"base":11},"right_expr":{"type":"numeric_atoms","value":3616,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1146,"base":11},"right_expr":{"type":"numeric_atoms","value":2542,"base":11}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2506,"base":11},"right_expr":{"type":"numeric_atoms","value":3456,"base":11}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1789,"base":11},"right_expr":{"type":"numeric_atoms","value":2652,"base":11}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3959,"base":11},"right_expr":{"type":"numeric_atoms","value":4627,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3997,"base":11},"right_expr":{"type":"numeric_atoms","value":2236,"base":11}}}}},"used_operators":["Qy55tPpLXF","D3AQDKkPcf","nREPSIbpBE","v1UQAVDJRr","09Ly4LVMIf","j9kHMeSvPp","7YooWSwCyH","uvdQJvN4PV","8w2t5hMYqp","uFcxV4UQCh","abYXlopdE0","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","BjRHVeLaeN","12rbrZMWeM","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","COABgblf1C","xUOZtlo3hN","rJVOvQCfKK","2DDjHMKMc0","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2354","layer":4},{"info":"number node, value=3616","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=3616, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1146","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=2542, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-10200","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10200, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"number node, value=2506","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=3456, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2506","layer":3},{"info":"number node, value=1789","layer":4},{"info":"number node, value=2652","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=2652, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=2506, right_input=-1818, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=3959","layer":4},{"info":"number node, value=4627","layer":4},{"info":"compute binary expreesion, left_input=3959, right_input=4627, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3997","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=3997, right_input=2236, 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=-319, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+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":11,"result_base":11,"text":"(⋰*⋻1850∥⊢⊲⋰*⋻2798⨚(⋰*⋻952⫃⨇⋰*⋻1A01)∷(⋰*⋻1979∪⫐⋰*⋻2662)⪭(⋰*⋻1387⩺⪪⋰*⋻1AA1))⋥≓≎(⊄⩳↩⋰*⋻2A7A⨿⋰*⋻3527⪛(⋰*⋻3004∲⫓⋰*⋻1753))=⋰*⋻61","reverse_text":"⋰*⋻61=(⋰*⋻1850∥⊢⊲⋰*⋻2798⨚(⋰*⋻952⫃⨇⋰*⋻1A01)∷(⋰*⋻1979∪⫐⋰*⋻2662)⪭(⋰*⋻1387⩺⪪⋰*⋻1AA1))⋥≓≎(⊄⩳↩⋰*⋻2A7A⨿⋰*⋻3527⪛(⋰*⋻3004∲⫓⋰*⋻1753))","cot":[{"info":"⋰*⋻1850∥⊢⊲⋰*⋻2798=NaN","layer":3},{"info":"⋰*⋻952⫃⨇⋰*⋻1A01=⋰*⋻-7733","layer":3},{"info":"NaN⨚⋰*⋻-7733=NaN","layer":2},{"info":"⋰*⋻1979∪⫐⋰*⋻2662=⋰*⋻1979","layer":3},{"info":"⋰*⋻1387⩺⪪⋰*⋻1AA1=⋰*⋻-1403","layer":3},{"info":"⋰*⋻1979⪭⋰*⋻-1403=⋰*⋻5","layer":2},{"info":"NaN∷⋰*⋻5=NaN","layer":1},{"info":"⋰*⋻2A7A⨿⋰*⋻3527=⋰*⋻-270","layer":3},{"info":"⋰*⋻3004∲⫓⋰*⋻1753=⋰*⋻0","layer":3},{"info":"⋰*⋻-270⪛⋰*⋻0=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⋰*⋻61","layer":0}]}
{"id":594,"expression_no_base_symbol":"($5809$⫁$2333$≦↸($3022$⊔$8859$))≁↽≥(($1354$⋻⩜⩜$1769$)⪥($4900$∀⋜↑))∧","expression":"(⋰*⋻4401⫁⋰*⋻1831≦↸(⋰*⋻22A8⊔⋰*⋻6724))≁↽≥((⋰*⋻1021⋻⩜⩜⋰*⋻1369)⪥(⋰*⋻3755∀⋜↑))∧","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24966,"operation_count":8,"complexity_ratio":3120.75,"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":5809,"base":11},"right_expr":{"type":"numeric_atoms","value":2333,"base":11}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3022,"base":11},"right_expr":{"type":"numeric_atoms","value":8859,"base":11}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1354,"base":11},"right_expr":{"type":"numeric_atoms","value":1769,"base":11}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":4900,"base":11}}}}},"used_operators":["z63VuFQld9","ncHt1X6cMc","RygbFNSyEJ","0ajvFaJAv0","E4l6HwMY31","QbnwKVWMIQ","oDCm7WA9JY","KipPnG1M2J"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5809","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=5809, right_input=2333, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3022","layer":4},{"info":"number node, value=8859","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=8859, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=47939","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=47939, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-95517","layer":2},{"info":"number node, value=1354","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=1769, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2708","layer":3},{"info":"number node, value=4900","layer":4},{"info":"compute unary expreesion, input=4900, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=2708, right_input=-484, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15484","layer":2},{"info":"compute binary expreesion, left_input=-95517, right_input=15484, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-1422823","layer":1},{"info":"compute unary expreesion, input=-1422823, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4401⫁⋰*⋻1831≦↸(⋰*⋻22A8⊔⋰*⋻6724))≁↽≥((⋰*⋻1021⋻⩜⩜⋰*⋻1369)⪥(⋰*⋻3755∀⋜↑))∧=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻4401⫁⋰*⋻1831≦↸(⋰*⋻22A8⊔⋰*⋻6724))≁↽≥((⋰*⋻1021⋻⩜⩜⋰*⋻1369)⪥(⋰*⋻3755∀⋜↑))∧","cot":[{"info":"⋰*⋻4401⫁⋰*⋻1831=⋰*⋻136","layer":3},{"info":"⋰*⋻22A8⊔⋰*⋻6724=⋰*⋻33021","layer":3},{"info":"⋰*⋻136≦↸⋰*⋻33021=⋰*⋻-65844","layer":2},{"info":"⋰*⋻1021⋻⩜⩜⋰*⋻1369=⋰*⋻2042","layer":3},{"info":"⋰*⋻3755∀⋜↑=⋰*⋻-400","layer":3},{"info":"⋰*⋻2042⪥⋰*⋻-400=⋰*⋻106A7","layer":2},{"info":"⋰*⋻-65844≁↽≥⋰*⋻106A7=⋰*⋻-891A96","layer":1},{"info":"⋰*⋻-891A96∧=⋰*⋻0","layer":0}]}
{"id":595,"expression_no_base_symbol":"≉($8074$≹⇙⪍$1025$⪮%⊝($1272$⩇∃⫛$1800$)⪒($1709$⊋$1535$)⨜⨶($5595$↺$1013$))","expression":"≉(⋰*⋻6080≹⇙⪍⋰*⋻852⪮%⊝(⋰*⋻A57⩇∃⫛⋰*⋻1397)⪒(⋰*⋻1314⊋⋰*⋻1176)⨜⨶(⋰*⋻4227↺⋰*⋻841))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":508,"operation_count":8,"complexity_ratio":63.5,"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":8074,"base":11},"right_expr":{"type":"numeric_atoms","value":1025,"base":11}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1272,"base":11},"right_expr":{"type":"numeric_atoms","value":1800,"base":11}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1709,"base":11},"right_expr":{"type":"numeric_atoms","value":1535,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5595,"base":11},"right_expr":{"type":"numeric_atoms","value":1013,"base":11}}}}},"used_operators":["e1ybzncUwg","f6k1SAg4EE","IWmyXbctLI","AHs5Up7iyr","1aApVXNlOP","HiPekx5b7W","W4tP9CfskL","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8074","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=8074, right_input=1025, 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=1272","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1800, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=1001","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1001, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1709","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1535, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=2478468","layer":3},{"info":"number node, value=5595","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=5595, right_input=1013, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1013","layer":3},{"info":"compute binary expreesion, left_input=2478468, right_input=1013, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1770","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1770, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≉(⋰*⋻6080≹⇙⪍⋰*⋻852⪮%⊝(⋰*⋻A57⩇∃⫛⋰*⋻1397)⪒(⋰*⋻1314⊋⋰*⋻1176)⨜⨶(⋰*⋻4227↺⋰*⋻841))=NaN","reverse_text":"NaN=≉(⋰*⋻6080≹⇙⪍⋰*⋻852⪮%⊝(⋰*⋻A57⩇∃⫛⋰*⋻1397)⪒(⋰*⋻1314⊋⋰*⋻1176)⨜⨶(⋰*⋻4227↺⋰*⋻841))","cot":[{"info":"⋰*⋻6080≹⇙⪍⋰*⋻852=NaN","layer":3},{"info":"⋰*⋻A57⩇∃⫛⋰*⋻1397=⋰*⋻830","layer":3},{"info":"NaN⪮%⊝⋰*⋻830=NaN","layer":2},{"info":"⋰*⋻1314⊋⋰*⋻1176=⋰*⋻1443123","layer":3},{"info":"⋰*⋻4227↺⋰*⋻841=⋰*⋻841","layer":3},{"info":"⋰*⋻1443123⨜⨶⋰*⋻841=⋰*⋻-136A","layer":2},{"info":"NaN⪒⋰*⋻-136A=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"⊙↵-(⫟$1436$⊱⇼⊻$4384$⨔≚≋($9353$⪑⩈))","expression":"⊙↵-(⫟⋰*⋻1096⊱⇼⊻⋰*⋻3326⨔≚≋(⋰*⋻7033⪑⩈))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":28864,"operation_count":5,"complexity_ratio":5772.8,"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":1436,"base":11},"right_expr":{"type":"numeric_atoms","value":4384,"base":11}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":9353,"base":11}}}}},"used_operators":["oWn0xqSxBt","z4E1FaHLuy","Z57zeUYC9z","FyVja0WsTP","C6VvDP6HwP"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"⋰*⋻169","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1436","layer":4},{"info":"number node, value=4384","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=4384, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=9353","layer":4},{"info":"compute unary expreesion, input=9353, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=67061","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=67061, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute unary expreesion, input=9872, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-28709","layer":1},{"info":"compute unary expreesion, input=-28709, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":11,"result_base":11,"text":"⊙↵-(⫟⋰*⋻1096⊱⇼⊻⋰*⋻3326⨔≚≋(⋰*⋻7033⪑⩈))=⋰*⋻169","reverse_text":"⋰*⋻169=⊙↵-(⫟⋰*⋻1096⊱⇼⊻⋰*⋻3326⨔≚≋(⋰*⋻7033⪑⩈))","cot":[{"info":"⋰*⋻1096⊱⇼⊻⋰*⋻3326=⋰*⋻365","layer":3},{"info":"⋰*⋻7033⪑⩈=⋰*⋻46425","layer":3},{"info":"⋰*⋻365⨔≚≋⋰*⋻46425=⋰*⋻7465","layer":2},{"info":"⫟⋰*⋻7465=⋰*⋻-1A62A","layer":1},{"info":"⊙↵-⋰*⋻-1A62A=⋰*⋻169","layer":0}]}
{"id":597,"expression_no_base_symbol":"(∤↝($2246$⪉⨛$4987$)≁↽≥($3920$*$1380$))∙∹∝(($2382$⨸$4904$⋥≓≎$2849$⊹∫⫚$1039$)⊎←↗)","expression":"(∤↝(⋰*⋻1762⪉⨛⋰*⋻3824)≁↽≥(⋰*⋻2A44*⋰*⋻1045))∙∹∝((⋰*⋻1876⨸⋰*⋻3759⋥≓≎⋰*⋻2160⊹∫⫚⋰*⋻865)⊎←↗)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3959,"operation_count":9,"complexity_ratio":439.8888888888889,"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":2246,"base":11},"right_expr":{"type":"numeric_atoms","value":4987,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3920,"base":11},"right_expr":{"type":"numeric_atoms","value":1380,"base":11}}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2382,"base":11},"right_expr":{"type":"numeric_atoms","value":4904,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2849,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}}}}},"used_operators":["HmxsFra2vL","3UMq87Qwqg","ncHt1X6cMc","EWw2JM7wp4","9HNa5Wba9A","dwb5p0fa6d","Qy55tPpLXF","KmoU8R5UQR","uWAJUKEvyW"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","sdazOOVcIp","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2246","layer":4},{"info":"number node, value=4987","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=4987, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1966","layer":3},{"info":"number node, value=3920","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=3920, right_input=1380, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5409600","layer":3},{"info":"compute binary expreesion, left_input=1966, right_input=5409600, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=39422","layer":2},{"info":"compute unary expreesion, input=39422, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=39422","layer":1},{"info":"number node, value=2382","layer":4},{"info":"number node, value=4904","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=4904, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4764","layer":3},{"info":"number node, value=2849","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=2849, right_input=1039, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-200","layer":3},{"info":"compute binary expreesion, left_input=4764, right_input=-200, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5131","layer":2},{"info":"compute unary expreesion, input=-5131, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=10947","layer":1},{"info":"compute binary expreesion, left_input=39422, right_input=10947, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(∤↝(⋰*⋻1762⪉⨛⋰*⋻3824)≁↽≥(⋰*⋻2A44*⋰*⋻1045))∙∹∝((⋰*⋻1876⨸⋰*⋻3759⋥≓≎⋰*⋻2160⊹∫⫚⋰*⋻865)⊎←↗)=⋰*⋻0","reverse_text":"⋰*⋻0=(∤↝(⋰*⋻1762⪉⨛⋰*⋻3824)≁↽≥(⋰*⋻2A44*⋰*⋻1045))∙∹∝((⋰*⋻1876⨸⋰*⋻3759⋥≓≎⋰*⋻2160⊹∫⫚⋰*⋻865)⊎←↗)","cot":[{"info":"⋰*⋻1762⪉⨛⋰*⋻3824=⋰*⋻1528","layer":3},{"info":"⋰*⋻2A44*⋰*⋻1045=⋰*⋻3065349","layer":3},{"info":"⋰*⋻1528≁↽≥⋰*⋻3065349=⋰*⋻27689","layer":2},{"info":"∤↝⋰*⋻27689=⋰*⋻27689","layer":1},{"info":"⋰*⋻1876⨸⋰*⋻3759=⋰*⋻3641","layer":3},{"info":"⋰*⋻2160⊹∫⫚⋰*⋻865=⋰*⋻-172","layer":3},{"info":"⋰*⋻3641⋥≓≎⋰*⋻-172=⋰*⋻-3945","layer":2},{"info":"⋰*⋻-3945⊎←↗=⋰*⋻8252","layer":1},{"info":"⋰*⋻27689∙∹∝⋰*⋻8252=⋰*⋻0","layer":0}]}
{"id":598,"expression_no_base_symbol":"⇨((⊤⊝$6036$)⨔≚≋($2839$⊴⇁⪶))≹⇙⪍($4299$↓$5732$↬($1122$⨔≚≋$2165$))","expression":"⇨((⊤⊝⋰*⋻4598)⨔≚≋(⋰*⋻2151⊴⇁⪶))≹⇙⪍(⋰*⋻3259↓⋰*⋻4341↬(⋰*⋻930⨔≚≋⋰*⋻1699))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":83647,"operation_count":8,"complexity_ratio":10455.875,"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":6036,"base":11}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":2839,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4299,"base":11},"right_expr":{"type":"numeric_atoms","value":5732,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1122,"base":11},"right_expr":{"type":"numeric_atoms","value":2165,"base":11}}}}},"used_operators":["G9tJMlZ94a","AHs5Up7iyr","Z57zeUYC9z","rXAclfmB4M","oo9mF6JIpo","B5M0gjZbta","Af076pWI7l"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rGHVDoGpnC","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6036","layer":4},{"info":"compute unary expreesion, input=6036, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=10774","layer":3},{"info":"number node, value=2839","layer":4},{"info":"compute unary expreesion, input=2839, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=54780","layer":3},{"info":"compute binary expreesion, left_input=10774, right_input=54780, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"number node, value=4299","layer":4},{"info":"number node, value=5732","layer":4},{"info":"compute binary expreesion, left_input=4299, right_input=5732, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1122","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2165, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=9872, 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=9872, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇨((⊤⊝⋰*⋻4598)⨔≚≋(⋰*⋻2151⊴⇁⪶))≹⇙⪍(⋰*⋻3259↓⋰*⋻4341↬(⋰*⋻930⨔≚≋⋰*⋻1699))=NaN","reverse_text":"NaN=⇨((⊤⊝⋰*⋻4598)⨔≚≋(⋰*⋻2151⊴⇁⪶))≹⇙⪍(⋰*⋻3259↓⋰*⋻4341↬(⋰*⋻930⨔≚≋⋰*⋻1699))","cot":[{"info":"⊤⊝⋰*⋻4598=⋰*⋻8105","layer":3},{"info":"⋰*⋻2151⊴⇁⪶=⋰*⋻38180","layer":3},{"info":"⋰*⋻8105⨔≚≋⋰*⋻38180=⋰*⋻7465","layer":2},{"info":"⋰*⋻3259↓⋰*⋻4341=⋰*⋻-112","layer":3},{"info":"⋰*⋻930⨔≚≋⋰*⋻1699=⋰*⋻7465","layer":3},{"info":"⋰*⋻-112↬⋰*⋻7465=NaN","layer":2},{"info":"⋰*⋻7465≹⇙⪍NaN=NaN","layer":1},{"info":"⇨NaN=NaN","layer":0}]}
{"id":599,"expression_no_base_symbol":"⊖(⋗⩴⪓(($1333$⪇≇⋚$2378$)⇴($4413$⫏⊷)))","expression":"⊖(⋗⩴⪓((⋰*⋻1002⪇≇⋚⋰*⋻1872)⇴(⋰*⋻3352⫏⊷)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13495,"operation_count":5,"complexity_ratio":2699.0,"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":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":2378,"base":11}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":4413,"base":11}}}}},"used_operators":["U6pG0PXrV3","nOKPl9n5zu","4JB6nKBMSY","3sJ7IOPOlU","dcShxvzhyw"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","sdazOOVcIp","NTOWxs364D","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1333","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=2378, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4413","layer":4},{"info":"compute unary expreesion, input=4413, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-820, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-2026","layer":2},{"info":"compute unary expreesion, input=-2026, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=10724","layer":1},{"info":"compute unary expreesion, input=10724, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⊖(⋗⩴⪓((⋰*⋻1002⪇≇⋚⋰*⋻1872)⇴(⋰*⋻3352⫏⊷)))=⋰*⋻0","reverse_text":"⋰*⋻0=⊖(⋗⩴⪓((⋰*⋻1002⪇≇⋚⋰*⋻1872)⇴(⋰*⋻3352⫏⊷)))","cot":[{"info":"⋰*⋻1002⪇≇⋚⋰*⋻1872=⋰*⋻0","layer":3},{"info":"⋰*⋻3352⫏⊷=⋰*⋻-686","layer":3},{"info":"⋰*⋻0⇴⋰*⋻-686=⋰*⋻-1582","layer":2},{"info":"⋗⩴⪓⋰*⋻-1582=⋰*⋻806A","layer":1},{"info":"⊖⋰*⋻806A=⋰*⋻0","layer":0}]}
{"id":600,"expression_no_base_symbol":"((⪡⇡≛$4126$)⨚(↯⪼$2888$))≁(($1340$≀⫉$4629$)⊴($1509$⪛$3485$))∀⇚≩((⊽(∨∊⋏$3238$))⊀⩕)","expression":"((⪡⇡≛⋰*⋻3111)⨚(↯⪼⋰*⋻2196))≁((⋰*⋻1009≀⫉⋰*⋻3529)⊴(⋰*⋻1152⪛⋰*⋻2689))∀⇚≩((⊽(∨∊⋏⋰*⋻2484))⊀⩕)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5634,"operation_count":11,"complexity_ratio":512.1818181818181,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":4126,"base":11}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2888,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1340,"base":11},"right_expr":{"type":"numeric_atoms","value":4629,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1509,"base":11},"right_expr":{"type":"numeric_atoms","value":3485,"base":11}}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3238,"base":11}}}}},"used_operators":["LRNGc0VcxI","8N2wDY1A35","nREPSIbpBE","qL4PrbW1Dq","8jW3W4yZS5","Nsiff2A1zJ","oZj3VtZNQx","uFcxV4UQCh","r0FS3hW4cC","QxG7OkqoLX","R5aXW34M0v"],"dependent_operators":["X99M06cbEe","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","BjRHVeLaeN","12rbrZMWeM","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","nhYeJWJD5X","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4126","layer":4},{"info":"compute unary expreesion, input=4126, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-4126","layer":3},{"info":"number node, value=2888","layer":4},{"info":"compute unary expreesion, input=2888, 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=-4126, right_input=-21, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7234","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=4629","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=4629, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1509","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=3485, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1509","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=1509, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7234, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=3238","layer":4},{"info":"compute unary expreesion, input=3238, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=64511","layer":3},{"info":"compute unary expreesion, input=64511, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=130544","layer":2},{"info":"compute unary expreesion, input=130544, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱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":11,"result_base":11,"text":"((⪡⇡≛⋰*⋻3111)⨚(↯⪼⋰*⋻2196))≁((⋰*⋻1009≀⫉⋰*⋻3529)⊴(⋰*⋻1152⪛⋰*⋻2689))∀⇚≩((⊽(∨∊⋏⋰*⋻2484))⊀⩕)=NaN","reverse_text":"NaN=((⪡⇡≛⋰*⋻3111)⨚(↯⪼⋰*⋻2196))≁((⋰*⋻1009≀⫉⋰*⋻3529)⊴(⋰*⋻1152⪛⋰*⋻2689))∀⇚≩((⊽(∨∊⋏⋰*⋻2484))⊀⩕)","cot":[{"info":"⪡⇡≛⋰*⋻3111=⋰*⋻-3111","layer":3},{"info":"↯⪼⋰*⋻2196=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-3111⨚⋰*⋻-1A=⋰*⋻-5487","layer":2},{"info":"⋰*⋻1009≀⫉⋰*⋻3529=⋰*⋻2136","layer":3},{"info":"⋰*⋻1152⪛⋰*⋻2689=⋰*⋻1152","layer":3},{"info":"⋰*⋻2136⊴⋰*⋻1152=NaN","layer":2},{"info":"⋰*⋻-5487≁NaN=NaN","layer":1},{"info":"∨∊⋏⋰*⋻2484=⋰*⋻44517","layer":3},{"info":"⊽⋰*⋻44517=⋰*⋻8A097","layer":2},{"info":"⋰*⋻8A097⊀⩕=⋰*⋻0","layer":1},{"info":"NaN∀⇚≩⋰*⋻0=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"((($1127$↫)⇗⋫)⇀∌)⨭⪣(($1168$⨹)⨽$1925$⪔$5242$)⋕⪉⪜($3074$∇⊂⋱$5593$≬⋮($1199$↓⨍⋜))","expression":"(((⋰*⋻935↫)⇗⋫)⇀∌)⨭⪣((⋰*⋻972⨹)⨽⋰*⋻14A0⪔⋰*⋻3A36)⋕⪉⪜(⋰*⋻2345∇⊂⋱⋰*⋻4225≬⋮(⋰*⋻9A0↓⨍⋜))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11296,"operation_count":11,"complexity_ratio":1026.909090909091,"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":1127,"base":11}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":1168,"base":11}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1925,"base":11},"right_expr":{"type":"numeric_atoms","value":5242,"base":11}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3074,"base":11},"right_expr":{"type":"numeric_atoms","value":5593,"base":11}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1199,"base":11}}}}},"used_operators":["kn8WO9XteQ","2k53nXOpI5","hpqmaQFPrd","uPb5QRN0te","z6LnFrNh4i","8HhzD0ZcuI","UnCoSGIALn","GjBEYRfMaF","kbkesczE7y","nhYeJWJD5X","3DVzLFNsE9"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","rxpJgHHUmx","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","mp7IySMOzn","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":1},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2336","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=5242","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=5242, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=2336, right_input=450, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16370724","layer":2},{"info":"number node, value=3074","layer":4},{"info":"number node, value=5593","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=5593, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5602","layer":3},{"info":"number node, value=1199","layer":4},{"info":"compute unary expreesion, input=1199, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=5602, right_input=6590, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-16370724, right_input=868, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻935↫)⇗⋫)⇀∌)⨭⪣((⋰*⋻972⨹)⨽⋰*⋻14A0⪔⋰*⋻3A36)⋕⪉⪜(⋰*⋻2345∇⊂⋱⋰*⋻4225≬⋮(⋰*⋻9A0↓⨍⋜))=NaN","reverse_text":"NaN=(((⋰*⋻935↫)⇗⋫)⇀∌)⨭⪣((⋰*⋻972⨹)⨽⋰*⋻14A0⪔⋰*⋻3A36)⋕⪉⪜(⋰*⋻2345∇⊂⋱⋰*⋻4225≬⋮(⋰*⋻9A0↓⨍⋜))","cot":[{"info":"⋰*⋻935↫=⋰*⋻136","layer":3},{"info":"⋰*⋻136⇗⋫=NaN","layer":2},{"info":"NaN⇀∌=NaN","layer":1},{"info":"⋰*⋻972⨹=⋰*⋻1834","layer":3},{"info":"⋰*⋻14A0⪔⋰*⋻3A36=⋰*⋻37A","layer":3},{"info":"⋰*⋻1834⨽⋰*⋻37A=⋰*⋻-9271627","layer":2},{"info":"⋰*⋻2345∇⊂⋱⋰*⋻4225=⋰*⋻4233","layer":3},{"info":"⋰*⋻9A0↓⨍⋜=⋰*⋻4A51","layer":3},{"info":"⋰*⋻4233≬⋮⋰*⋻4A51=⋰*⋻71A","layer":2},{"info":"⋰*⋻-9271627⋕⪉⪜⋰*⋻71A=⋰*⋻176","layer":1},{"info":"NaN⨭⪣⋰*⋻176=NaN","layer":0}]}
{"id":602,"expression_no_base_symbol":"($1071$⫉⨲⊜$1149$⪨⊡$5376$⪡$3940$)⊕∕(⊥($5718$≭$1095$))⪃↞⩐","expression":"(⋰*⋻894⫉⨲⊜⋰*⋻955⪨⊡⋰*⋻4048⪡⋰*⋻2A62)⊕∕(⊥(⋰*⋻4329≭⋰*⋻906))⪃↞⩐","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":347,"operation_count":7,"complexity_ratio":49.57142857142857,"tree":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":1149,"base":11}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5376,"base":11},"right_expr":{"type":"numeric_atoms","value":3940,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5718,"base":11},"right_expr":{"type":"numeric_atoms","value":1095,"base":11}}}}},"used_operators":["grXIztHqDa","9cloC0Ngie","kuIXHzHcAH","WhqkvtTD3t","oraRL2iQuh","Q3PJZHRvZv","rxpJgHHUmx"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eewbuw0ToL","zVYPLywUTj","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","fu6greOZ01","AHs5Up7iyr"],"result":"⋰*⋻A84","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1149, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=5376","layer":4},{"info":"number node, value=3940","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=3940, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=107, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=166","layer":2},{"info":"number node, value=5718","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=5718, right_input=1095, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=166, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=166","layer":1},{"info":"compute unary expreesion, input=166, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=1302","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻894⫉⨲⊜⋰*⋻955⪨⊡⋰*⋻4048⪡⋰*⋻2A62)⊕∕(⊥(⋰*⋻4329≭⋰*⋻906))⪃↞⩐=⋰*⋻A84","reverse_text":"⋰*⋻A84=(⋰*⋻894⫉⨲⊜⋰*⋻955⪨⊡⋰*⋻4048⪡⋰*⋻2A62)⊕∕(⊥(⋰*⋻4329≭⋰*⋻906))⪃↞⩐","cot":[{"info":"⋰*⋻894⫉⨲⊜⋰*⋻955=⋰*⋻0","layer":3},{"info":"⋰*⋻4048⪡⋰*⋻2A62=⋰*⋻98","layer":3},{"info":"⋰*⋻0⪨⊡⋰*⋻98=⋰*⋻141","layer":2},{"info":"⋰*⋻4329≭⋰*⋻906=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⋰*⋻141⊕∕NaN=⋰*⋻141","layer":1},{"info":"⋰*⋻141⪃↞⩐=⋰*⋻A84","layer":0}]}
{"id":603,"expression_no_base_symbol":"($3086$⨰$2368$∪⫐$7795$⩁⩘$8255$)⩁⩘(($1849$≬⇓$4183$)⇌⫙⪟(⩷$1752$))⨪↰⇹(∤$3606$⫁$3172$)⇍⊗(≅≯⇸$4434$)⪥(⇙⪊$4299$)","expression":"(⋰*⋻2356⨰⋰*⋻1863∪⫐⋰*⋻5947⩁⩘⋰*⋻6225)⩁⩘((⋰*⋻1431≬⇓⋰*⋻3163)⇌⫙⪟(⩷⋰*⋻1353))⨪↰⇹(∤⋰*⋻2789⫁⋰*⋻2424)⇍⊗(≅≯⇸⋰*⋻3371)⪥(⇙⪊⋰*⋻3259)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":424020,"operation_count":14,"complexity_ratio":30287.14285714286,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3086,"base":11},"right_expr":{"type":"numeric_atoms","value":2368,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":7795,"base":11},"right_expr":{"type":"numeric_atoms","value":8255,"base":11}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1849,"base":11},"right_expr":{"type":"numeric_atoms","value":4183,"base":11}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1752,"base":11}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3606,"base":11},"right_expr":{"type":"numeric_atoms","value":3172,"base":11}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":4434,"base":11}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":4299,"base":11}}}}},"used_operators":["tmPS8pqC7x","gub5Cegaqo","7YooWSwCyH","eewbuw0ToL","AFVx7xoS7T","jWTQ2TZYIH","1h0rLqGiFr","5uvYHDjeKN","k2HlF1dBQh","0ajvFaJAv0","QbnwKVWMIQ","apS25hmuAe","pB6Fcnrjim"],"dependent_operators":["rJVOvQCfKK","DpFCA1CohY","IWmyXbctLI","rJVOvQCfKK","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","cHh1gJQ2o6","AHs5Up7iyr","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","EBcxylXtPf","QMFrweE19q","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"⋰*⋻26A064","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3086","layer":4},{"info":"number node, value=2368","layer":4},{"info":"compute binary expreesion, left_input=3086, right_input=2368, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=728","layer":3},{"info":"number node, value=7795","layer":4},{"info":"number node, value=8255","layer":4},{"info":"compute binary expreesion, left_input=7795, right_input=8255, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=33968","layer":3},{"info":"compute binary expreesion, left_input=728, right_input=33968, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=728","layer":2},{"info":"number node, value=1849","layer":4},{"info":"number node, value=4183","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=4183, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1752","layer":4},{"info":"compute unary expreesion, input=1752, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-21103","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-21103, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=105595","layer":2},{"info":"compute binary expreesion, left_input=728, right_input=105595, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=423328","layer":1},{"info":"number node, value=3606","layer":4},{"info":"number node, value=3172","layer":4},{"info":"compute binary expreesion, left_input=3606, right_input=3172, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=4434","layer":4},{"info":"compute unary expreesion, input=4434, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=25413","layer":3},{"info":"number node, value=4299","layer":4},{"info":"compute unary expreesion, input=4299, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=25413, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=-116, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=423328, right_input=-244, 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=423328","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2356⨰⋰*⋻1863∪⫐⋰*⋻5947⩁⩘⋰*⋻6225)⩁⩘((⋰*⋻1431≬⇓⋰*⋻3163)⇌⫙⪟(⩷⋰*⋻1353))⨪↰⇹(∤⋰*⋻2789⫁⋰*⋻2424)⇍⊗(≅≯⇸⋰*⋻3371)⪥(⇙⪊⋰*⋻3259)=⋰*⋻26A064","reverse_text":"⋰*⋻26A064=(⋰*⋻2356⨰⋰*⋻1863∪⫐⋰*⋻5947⩁⩘⋰*⋻6225)⩁⩘((⋰*⋻1431≬⇓⋰*⋻3163)⇌⫙⪟(⩷⋰*⋻1353))⨪↰⇹(∤⋰*⋻2789⫁⋰*⋻2424)⇍⊗(≅≯⇸⋰*⋻3371)⪥(⇙⪊⋰*⋻3259)","cot":[{"info":"⋰*⋻2356⨰⋰*⋻1863=⋰*⋻602","layer":3},{"info":"⋰*⋻5947⩁⩘⋰*⋻6225=⋰*⋻23580","layer":3},{"info":"⋰*⋻602∪⫐⋰*⋻23580=⋰*⋻602","layer":2},{"info":"⋰*⋻1431≬⇓⋰*⋻3163=⋰*⋻-20","layer":3},{"info":"⩷⋰*⋻1353=⋰*⋻-14945","layer":3},{"info":"⋰*⋻-20⇌⫙⪟⋰*⋻-14945=⋰*⋻72376","layer":2},{"info":"⋰*⋻602⩁⩘⋰*⋻72376=⋰*⋻26A064","layer":1},{"info":"⋰*⋻2789⫁⋰*⋻2424=⋰*⋻136","layer":3},{"info":"∤⋰*⋻136=⋰*⋻9","layer":2},{"info":"≅≯⇸⋰*⋻3371=⋰*⋻18103","layer":3},{"info":"⇙⪊⋰*⋻3259=⋰*⋻0","layer":3},{"info":"⋰*⋻18103⪥⋰*⋻0=⋰*⋻-A6","layer":2},{"info":"⋰*⋻9⇍⊗⋰*⋻-A6=⋰*⋻-202","layer":1},{"info":"⋰*⋻26A064⨪↰⇹⋰*⋻-202=⋰*⋻26A064","layer":0}]}
{"id":604,"expression_no_base_symbol":"(($1782$⪄$1168$-$2222$⋻⩜⩜$5607$)⨎(⋃$2410$⫁⪎$2954$))⩦(⋼∭⪍($1719$↓$1043$⨔≚≋($3506$∽$5286$)))","expression":"((⋰*⋻1380⪄⋰*⋻972-⋰*⋻1740⋻⩜⩜⋰*⋻4238)⨎(⋃⋰*⋻18A1⫁⪎⋰*⋻2246))⩦(⋼∭⪍(⋰*⋻1323↓⋰*⋻869⨔≚≋(⋰*⋻26A8∽⋰*⋻3A76)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":93585,"operation_count":11,"complexity_ratio":8507.727272727272,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1782,"base":11},"right_expr":{"type":"numeric_atoms","value":1168,"base":11}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2222,"base":11},"right_expr":{"type":"numeric_atoms","value":5607,"base":11}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2410,"base":11},"right_expr":{"type":"numeric_atoms","value":2954,"base":11}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1719,"base":11},"right_expr":{"type":"numeric_atoms","value":1043,"base":11}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3506,"base":11},"right_expr":{"type":"numeric_atoms","value":5286,"base":11}}}}},"used_operators":["0kmYd0q39Y","rJVOvQCfKK","rysDP5nf3Z","SUmda5xLS4","oDCm7WA9JY","3mBM5G4a3l","xRrnTEsQ6j","DbCuESL50I","Z57zeUYC9z","Af076pWI7l","y4ImoPnbV5"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","g55IO6H4Gj","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","QMFrweE19q"],"result":"⋰*⋻2424A90","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1782","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=1168, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-264497","layer":3},{"info":"number node, value=2222","layer":4},{"info":"number node, value=5607","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=5607, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4444","layer":3},{"info":"compute binary expreesion, left_input=-264497, right_input=4444, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-268941","layer":2},{"info":"number node, value=2410","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=2410, right_input=2954, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-544","layer":3},{"info":"compute unary expreesion, input=-544, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-986","layer":2},{"info":"compute binary expreesion, left_input=-268941, right_input=-986, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-986","layer":1},{"info":"number node, value=1719","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=1043, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3506","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=3506, right_input=5286, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-33210","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-33210, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=265064","layer":2},{"info":"compute unary expreesion, input=265064, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-1058516","layer":1},{"info":"compute binary expreesion, left_input=-986, right_input=-1058516, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4223241","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1380⪄⋰*⋻972-⋰*⋻1740⋻⩜⩜⋰*⋻4238)⨎(⋃⋰*⋻18A1⫁⪎⋰*⋻2246))⩦(⋼∭⪍(⋰*⋻1323↓⋰*⋻869⨔≚≋(⋰*⋻26A8∽⋰*⋻3A76)))=⋰*⋻2424A90","reverse_text":"⋰*⋻2424A90=((⋰*⋻1380⪄⋰*⋻972-⋰*⋻1740⋻⩜⩜⋰*⋻4238)⨎(⋃⋰*⋻18A1⫁⪎⋰*⋻2246))⩦(⋼∭⪍(⋰*⋻1323↓⋰*⋻869⨔≚≋(⋰*⋻26A8∽⋰*⋻3A76)))","cot":[{"info":"⋰*⋻1380⪄⋰*⋻972=⋰*⋻-1707A2","layer":3},{"info":"⋰*⋻1740⋻⩜⩜⋰*⋻4238=⋰*⋻3380","layer":3},{"info":"⋰*⋻-1707A2-⋰*⋻3380=⋰*⋻-174072","layer":2},{"info":"⋰*⋻18A1⫁⪎⋰*⋻2246=⋰*⋻-455","layer":3},{"info":"⋃⋰*⋻-455=⋰*⋻-817","layer":2},{"info":"⋰*⋻-174072⨎⋰*⋻-817=⋰*⋻-817","layer":1},{"info":"⋰*⋻1323↓⋰*⋻869=⋰*⋻-112","layer":3},{"info":"⋰*⋻26A8∽⋰*⋻3A76=⋰*⋻-22A51","layer":3},{"info":"⋰*⋻-112⨔≚≋⋰*⋻-22A51=⋰*⋻171168","layer":2},{"info":"⋼∭⪍⋰*⋻171168=⋰*⋻-663308","layer":1},{"info":"⋰*⋻-817⩦⋰*⋻-663308=⋰*⋻2424A90","layer":0}]}
{"id":605,"expression_no_base_symbol":"(($3789$⪨≂$1586$)⇣⩺⋵($3011$≃⋄)-(⋎⨆$2023$)⪭≯$2354$≒∊$1951$)↺(($3794$⪔$3388$)⇴$1838$⫯⪬∳$1649$)⫗⊷⫓(($1284$⩦$6442$)⊮⊟↴($1090$∪⫐$4062$))","expression":"((⋰*⋻2935⪨≂⋰*⋻1212)⇣⩺⋵(⋰*⋻2298≃⋄)-(⋎⨆⋰*⋻157A)⪭≯⋰*⋻1850≒∊⋰*⋻1514)↺((⋰*⋻293A⪔⋰*⋻2600)⇴⋰*⋻1421⫯⪬∳⋰*⋻126A)⫗⊷⫓((⋰*⋻A68⩦⋰*⋻4927)⊮⊟↴(⋰*⋻901∪⫐⋰*⋻3063))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":91434,"operation_count":15,"complexity_ratio":6095.6,"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":3789,"base":11},"right_expr":{"type":"numeric_atoms","value":1586,"base":11}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":3011,"base":11}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2023,"base":11}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2354,"base":11},"right_expr":{"type":"numeric_atoms","value":1951,"base":11}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3794,"base":11},"right_expr":{"type":"numeric_atoms","value":3388,"base":11}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1838,"base":11},"right_expr":{"type":"numeric_atoms","value":1649,"base":11}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1284,"base":11},"right_expr":{"type":"numeric_atoms","value":6442,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1090,"base":11},"right_expr":{"type":"numeric_atoms","value":4062,"base":11}}}}},"used_operators":["7j4O788W3g","rysDP5nf3Z","F4yD0voBRQ","sdazOOVcIp","aN9a90urxU","XAx5wpdLa6","E64sFOc4tB","5KTvxBwnZo","zashukvMKz","4JB6nKBMSY","GjBEYRfMaF","d7ASUq0ydm","QDVgd2eftb","0kmYd0q39Y","7YooWSwCyH"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","jLgFTUHLKL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","sdazOOVcIp","NTOWxs364D","COABgblf1C","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3789","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=3789, right_input=1586, 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=4508","layer":3},{"info":"number node, value=3011","layer":4},{"info":"compute unary expreesion, input=3011, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute binary expreesion, left_input=4508, right_input=764, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=2023","layer":4},{"info":"compute unary expreesion, input=2023, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2354","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=1951, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1870","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1870, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3794","layer":4},{"info":"number node, value=3388","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=3388, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1838","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=1649, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7574","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=7574, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=17462","layer":2},{"info":"number node, value=1284","layer":4},{"info":"number node, value=6442","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=6442, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2568","layer":3},{"info":"number node, value=1090","layer":4},{"info":"number node, value=4062","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=4062, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1090","layer":3},{"info":"compute binary expreesion, left_input=2568, right_input=1090, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=17462, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2935⪨≂⋰*⋻1212)⇣⩺⋵(⋰*⋻2298≃⋄)-(⋎⨆⋰*⋻157A)⪭≯⋰*⋻1850≒∊⋰*⋻1514)↺((⋰*⋻293A⪔⋰*⋻2600)⇴⋰*⋻1421⫯⪬∳⋰*⋻126A)⫗⊷⫓((⋰*⋻A68⩦⋰*⋻4927)⊮⊟↴(⋰*⋻901∪⫐⋰*⋻3063))=⋰*⋻-112","reverse_text":"⋰*⋻-112=((⋰*⋻2935⪨≂⋰*⋻1212)⇣⩺⋵(⋰*⋻2298≃⋄)-(⋎⨆⋰*⋻157A)⪭≯⋰*⋻1850≒∊⋰*⋻1514)↺((⋰*⋻293A⪔⋰*⋻2600)⇴⋰*⋻1421⫯⪬∳⋰*⋻126A)⫗⊷⫓((⋰*⋻A68⩦⋰*⋻4927)⊮⊟↴(⋰*⋻901∪⫐⋰*⋻3063))","cot":[{"info":"⋰*⋻2935⪨≂⋰*⋻1212=⋰*⋻3429","layer":3},{"info":"⋰*⋻2298≃⋄=⋰*⋻635","layer":3},{"info":"⋰*⋻3429⇣⩺⋵⋰*⋻635=⋰*⋻-217","layer":2},{"info":"⋎⨆⋰*⋻157A=⋰*⋻0","layer":3},{"info":"⋰*⋻1850≒∊⋰*⋻1514=⋰*⋻-1450","layer":3},{"info":"⋰*⋻0⪭≯⋰*⋻-1450=NaN","layer":2},{"info":"⋰*⋻-217-NaN=NaN","layer":1},{"info":"⋰*⋻293A⪔⋰*⋻2600=⋰*⋻37A","layer":3},{"info":"⋰*⋻1421⫯⪬∳⋰*⋻126A=⋰*⋻5766","layer":3},{"info":"⋰*⋻37A⇴⋰*⋻5766=⋰*⋻12135","layer":2},{"info":"⋰*⋻A68⩦⋰*⋻4927=⋰*⋻1A25","layer":3},{"info":"⋰*⋻901∪⫐⋰*⋻3063=⋰*⋻901","layer":3},{"info":"⋰*⋻1A25⊮⊟↴⋰*⋻901=⋰*⋻0","layer":2},{"info":"⋰*⋻12135⫗⊷⫓⋰*⋻0=⋰*⋻-112","layer":1},{"info":"NaN↺⋰*⋻-112=⋰*⋻-112","layer":0}]}
{"id":606,"expression_no_base_symbol":"(($1994$⨵⪆$3591$)⇄$1018$⪢$2002$⪉⨛($1185$⋭≵$1200$)⪶≀⋏(≸$1046$))↼⊘⨖((($7812$⫿)⨸⪁(↔$1662$))⪶≀⋏($1939$⪭≯$1425$⫥∨⫟$1095$∣$6467$))","expression":"((⋰*⋻1553⨵⪆⋰*⋻2775)⇄⋰*⋻846⪢⋰*⋻1560⪉⨛(⋰*⋻988⋭≵⋰*⋻9A1)⪶≀⋏(≸⋰*⋻871))↼⊘⨖(((⋰*⋻5962⫿)⨸⪁(↔⋰*⋻1281))⪶≀⋏(⋰*⋻1503⪭≯⋰*⋻1086⫥∨⫟⋰*⋻906∣⋰*⋻494A))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2497,"operation_count":15,"complexity_ratio":166.46666666666667,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1994,"base":11},"right_expr":{"type":"numeric_atoms","value":3591,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":2002,"base":11}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1185,"base":11},"right_expr":{"type":"numeric_atoms","value":1200,"base":11}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1046,"base":11}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":7812,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1662,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1939,"base":11},"right_expr":{"type":"numeric_atoms","value":1425,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1095,"base":11},"right_expr":{"type":"numeric_atoms","value":6467,"base":11}}}}},"used_operators":["bPywburJMS","EWw2JM7wp4","3EYGwJThht","2DQ55sFlQl","dWAJyo7jo9","zR4jO40bMj","jBncVCNhdl","eOf03JbCpp","g55IO6H4Gj","9tKT6PmtkH","ruOEQAzv1W","KYD54nUTWz","XAx5wpdLa6","PPChnnnBFF"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","W4YGzv6Whe","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1994","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=3591, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=2002, 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=160, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"number node, value=1185","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1200, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=6075","layer":3},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=6075, right_input=58, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18573","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18573, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=7812","layer":4},{"info":"compute unary expreesion, input=7812, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=7812","layer":3},{"info":"number node, value=1662","layer":4},{"info":"compute unary expreesion, input=1662, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1389","layer":3},{"info":"compute binary expreesion, left_input=7812, right_input=-1389, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12846","layer":2},{"info":"number node, value=1939","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=1425, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=6467","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=6467, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1095","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1095, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12846, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1553⨵⪆⋰*⋻2775)⇄⋰*⋻846⪢⋰*⋻1560⪉⨛(⋰*⋻988⋭≵⋰*⋻9A1)⪶≀⋏(≸⋰*⋻871))↼⊘⨖(((⋰*⋻5962⫿)⨸⪁(↔⋰*⋻1281))⪶≀⋏(⋰*⋻1503⪭≯⋰*⋻1086⫥∨⫟⋰*⋻906∣⋰*⋻494A))=NaN","reverse_text":"NaN=((⋰*⋻1553⨵⪆⋰*⋻2775)⇄⋰*⋻846⪢⋰*⋻1560⪉⨛(⋰*⋻988⋭≵⋰*⋻9A1)⪶≀⋏(≸⋰*⋻871))↼⊘⨖(((⋰*⋻5962⫿)⨸⪁(↔⋰*⋻1281))⪶≀⋏(⋰*⋻1503⪭≯⋰*⋻1086⫥∨⫟⋰*⋻906∣⋰*⋻494A))","cot":[{"info":"⋰*⋻1553⨵⪆⋰*⋻2775=⋰*⋻136","layer":3},{"info":"⋰*⋻846⪢⋰*⋻1560=NaN","layer":3},{"info":"⋰*⋻136⇄NaN=NaN","layer":2},{"info":"⋰*⋻988⋭≵⋰*⋻9A1=⋰*⋻4623","layer":3},{"info":"≸⋰*⋻871=⋰*⋻53","layer":3},{"info":"⋰*⋻4623⪶≀⋏⋰*⋻53=⋰*⋻-12A55","layer":2},{"info":"NaN⪉⨛⋰*⋻-12A55=NaN","layer":1},{"info":"⋰*⋻5962⫿=⋰*⋻5962","layer":3},{"info":"↔⋰*⋻1281=⋰*⋻-1053","layer":3},{"info":"⋰*⋻5962⨸⪁⋰*⋻-1053=⋰*⋻9719","layer":2},{"info":"⋰*⋻1503⪭≯⋰*⋻1086=NaN","layer":3},{"info":"⋰*⋻906∣⋰*⋻494A=⋰*⋻906","layer":3},{"info":"NaN⫥∨⫟⋰*⋻906=NaN","layer":2},{"info":"⋰*⋻9719⪶≀⋏NaN=NaN","layer":1},{"info":"NaN↼⊘⨖NaN=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"($1193$⩌⋺$1262$⨫⇇↔($1171$≓∲$7296$)∷$4882$⪝$1126$∛($1536$⩚⊴⇥$2838$))⪬(($1506$∽$1933$)↳≱($1089$≎⊠⪸$3857$)⨘⋶⪀)","expression":"(⋰*⋻995⩌⋺⋰*⋻A48⨫⇇↔(⋰*⋻975≓∲⋰*⋻5533)∷⋰*⋻3739⪝⋰*⋻934∛(⋰*⋻1177⩚⊴⇥⋰*⋻2150))⪬((⋰*⋻114A∽⋰*⋻14A8)↳≱(⋰*⋻900≎⊠⪸⋰*⋻2997)⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1568,"operation_count":12,"complexity_ratio":130.66666666666666,"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":1193,"base":11},"right_expr":{"type":"numeric_atoms","value":1262,"base":11}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1171,"base":11},"right_expr":{"type":"numeric_atoms","value":7296,"base":11}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4882,"base":11},"right_expr":{"type":"numeric_atoms","value":1126,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":2838,"base":11}}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1506,"base":11},"right_expr":{"type":"numeric_atoms","value":1933,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1089,"base":11},"right_expr":{"type":"numeric_atoms","value":3857,"base":11}}}}},"used_operators":["Ez1Nq5fNfI","D3AQDKkPcf","LXhwmt4mBO","g7Hmc5v1ko","s1XTVnmDOJ","w2537kitQq","wicAB68Tmb","NTOWxs364D","XVKwrhznBb","JwTKLfZU96","y4ImoPnbV5","bJkvcejdHO"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","NTOWxs364D","7j4O788W3g","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1193","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=1262, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2576","layer":3},{"info":"number node, value=1171","layer":4},{"info":"number node, value=7296","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=7296, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=12493","layer":3},{"info":"compute binary expreesion, left_input=-2576, right_input=12493, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=4882","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=4882, right_input=1126, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-15423","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=2838, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4495","layer":3},{"info":"compute binary expreesion, left_input=-15423, right_input=-4495, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=67, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-267","layer":1},{"info":"number node, value=1506","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=1933, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-13151","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=3857","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=3857, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=281578","layer":3},{"info":"compute binary expreesion, left_input=-13151, right_input=281578, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=-267, right_input=2802, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻995⩌⋺⋰*⋻A48⨫⇇↔(⋰*⋻975≓∲⋰*⋻5533)∷⋰*⋻3739⪝⋰*⋻934∛(⋰*⋻1177⩚⊴⇥⋰*⋻2150))⪬((⋰*⋻114A∽⋰*⋻14A8)↳≱(⋰*⋻900≎⊠⪸⋰*⋻2997)⨘⋶⪀)=⋰*⋻A22","reverse_text":"⋰*⋻A22=(⋰*⋻995⩌⋺⋰*⋻A48⨫⇇↔(⋰*⋻975≓∲⋰*⋻5533)∷⋰*⋻3739⪝⋰*⋻934∛(⋰*⋻1177⩚⊴⇥⋰*⋻2150))⪬((⋰*⋻114A∽⋰*⋻14A8)↳≱(⋰*⋻900≎⊠⪸⋰*⋻2997)⨘⋶⪀)","cot":[{"info":"⋰*⋻995⩌⋺⋰*⋻A48=⋰*⋻-1A32","layer":3},{"info":"⋰*⋻975≓∲⋰*⋻5533=⋰*⋻9428","layer":3},{"info":"⋰*⋻-1A32⨫⇇↔⋰*⋻9428=⋰*⋻-43A","layer":2},{"info":"⋰*⋻3739⪝⋰*⋻934=⋰*⋻-10651","layer":3},{"info":"⋰*⋻1177⩚⊴⇥⋰*⋻2150=⋰*⋻-3417","layer":3},{"info":"⋰*⋻-10651∛⋰*⋻-3417=⋰*⋻61","layer":2},{"info":"⋰*⋻-43A∷⋰*⋻61=⋰*⋻-223","layer":1},{"info":"⋰*⋻114A∽⋰*⋻14A8=⋰*⋻-9976","layer":3},{"info":"⋰*⋻900≎⊠⪸⋰*⋻2997=⋰*⋻182610","layer":3},{"info":"⋰*⋻-9976↳≱⋰*⋻182610=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨘⋶⪀=⋰*⋻2118","layer":1},{"info":"⋰*⋻-223⪬⋰*⋻2118=⋰*⋻A22","layer":0}]}
{"id":608,"expression_no_base_symbol":"(($4275$⫒⫫$3560$)↞⋁($2844$⩚⊴⇥$2901$)⊵↤)⪃⊛⇣(($1090$∙∹∝$5079$)⋕⪉⪜$4261$⋹⋡⊁$2529$⊉↱≁($3263$⇷$2107$↱$3600$∳⫺$3960$))","expression":"((⋰*⋻3237⫒⫫⋰*⋻2747)↞⋁(⋰*⋻2156⩚⊴⇥⋰*⋻21A8)⊵↤)⪃⊛⇣((⋰*⋻901∙∹∝⋰*⋻38A8)⋕⪉⪜⋰*⋻3224⋹⋡⊁⋰*⋻199A⊉↱≁(⋰*⋻24A7⇷⋰*⋻1646↱⋰*⋻2783∳⫺⋰*⋻2A80))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":113482,"operation_count":12,"complexity_ratio":9456.833333333334,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4275,"base":11},"right_expr":{"type":"numeric_atoms","value":3560,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2844,"base":11},"right_expr":{"type":"numeric_atoms","value":2901,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1090,"base":11},"right_expr":{"type":"numeric_atoms","value":5079,"base":11}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4261,"base":11},"right_expr":{"type":"numeric_atoms","value":2529,"base":11}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3263,"base":11},"right_expr":{"type":"numeric_atoms","value":2107,"base":11}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3600,"base":11},"right_expr":{"type":"numeric_atoms","value":3960,"base":11}}}}},"used_operators":["rrgAzCduG9","7IPrd9c3lf","RqrPlJkxDo","6Ko8hGgeMq","NTOWxs364D","w2P8NbNXyL","z6LnFrNh4i","HmxsFra2vL","As8RqfVLgs","SR5kFfdi6N","mp7IySMOzn","AzXXKTstlj"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4275","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=4275, right_input=3560, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2844","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=2901, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5866","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5866, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":1},{"info":"number node, value=1090","layer":4},{"info":"number node, value=5079","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=5079, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4261","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=4261, right_input=2529, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3279","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3279, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=3263","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=2107, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4214","layer":3},{"info":"number node, value=3600","layer":4},{"info":"number node, value=3960","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=3960, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=4214, right_input=-260, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=13232","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=13232, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-78466","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-78466, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3237⫒⫫⋰*⋻2747)↞⋁(⋰*⋻2156⩚⊴⇥⋰*⋻21A8)⊵↤)⪃⊛⇣((⋰*⋻901∙∹∝⋰*⋻38A8)⋕⪉⪜⋰*⋻3224⋹⋡⊁⋰*⋻199A⊉↱≁(⋰*⋻24A7⇷⋰*⋻1646↱⋰*⋻2783∳⫺⋰*⋻2A80))=⋰*⋻A22","reverse_text":"⋰*⋻A22=((⋰*⋻3237⫒⫫⋰*⋻2747)↞⋁(⋰*⋻2156⩚⊴⇥⋰*⋻21A8)⊵↤)⪃⊛⇣((⋰*⋻901∙∹∝⋰*⋻38A8)⋕⪉⪜⋰*⋻3224⋹⋡⊁⋰*⋻199A⊉↱≁(⋰*⋻24A7⇷⋰*⋻1646↱⋰*⋻2783∳⫺⋰*⋻2A80))","cot":[{"info":"⋰*⋻3237⫒⫫⋰*⋻2747=NaN","layer":3},{"info":"⋰*⋻2156⩚⊴⇥⋰*⋻21A8=⋰*⋻-4453","layer":3},{"info":"NaN↞⋁⋰*⋻-4453=NaN","layer":2},{"info":"NaN⊵↤=⋰*⋻61","layer":1},{"info":"⋰*⋻901∙∹∝⋰*⋻38A8=⋰*⋻0","layer":3},{"info":"⋰*⋻3224⋹⋡⊁⋰*⋻199A=⋰*⋻2511","layer":3},{"info":"⋰*⋻0⋕⪉⪜⋰*⋻2511=⋰*⋻176","layer":2},{"info":"⋰*⋻24A7⇷⋰*⋻1646=⋰*⋻3191","layer":3},{"info":"⋰*⋻2783∳⫺⋰*⋻2A80=⋰*⋻-217","layer":3},{"info":"⋰*⋻3191↱⋰*⋻-217=⋰*⋻9A3A","layer":2},{"info":"⋰*⋻176⊉↱≁⋰*⋻9A3A=⋰*⋻-53A53","layer":1},{"info":"⋰*⋻61⪃⊛⇣⋰*⋻-53A53=⋰*⋻A22","layer":0}]}
{"id":609,"expression_no_base_symbol":"($1177$⋾⨃∁$5585$⊋≦⊧$2238$∇⊂⋱$4096$)⇴∐($7017$≚⊃≕$1640$⨑≵⋬(⩎⋉$3119$))↡⊰⫅(($2345$⫚↹⊑$1250$)⋭≵$7279$⫢⨠$7533$)≭(⩩($1343$⨸⪁$3341$))","expression":"(⋰*⋻980⋾⨃∁⋰*⋻4218⊋≦⊧⋰*⋻1755∇⊂⋱⋰*⋻3094)⇴∐(⋰*⋻52AA≚⊃≕⋰*⋻1261⨑≵⋬(⩎⋉⋰*⋻2386))↡⊰⫅((⋰*⋻1842⫚↹⊑⋰*⋻A37)⋭≵⋰*⋻5518⫢⨠⋰*⋻5729)≭(⩩(⋰*⋻1011⨸⪁⋰*⋻2568))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16222,"operation_count":14,"complexity_ratio":1158.7142857142858,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1177,"base":11},"right_expr":{"type":"numeric_atoms","value":5585,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2238,"base":11},"right_expr":{"type":"numeric_atoms","value":4096,"base":11}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":7017,"base":11},"right_expr":{"type":"numeric_atoms","value":1640,"base":11}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":3119,"base":11}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2345,"base":11},"right_expr":{"type":"numeric_atoms","value":1250,"base":11}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":7279,"base":11},"right_expr":{"type":"numeric_atoms","value":7533,"base":11}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1343,"base":11},"right_expr":{"type":"numeric_atoms","value":3341,"base":11}}}}},"used_operators":["VCtxkLNOzz","HnzytWxmAO","oRDoc9rAEX","212REbPD9h","nhYeJWJD5X","XnXgA4xnOs","Bmrmz2XGnR","FlXk3pOYe8","rxpJgHHUmx","jBncVCNhdl","dfKe02y8D2","xlXykHWxX1","kMhfGuqI2H","g55IO6H4Gj"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","AHs5Up7iyr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":4},{"info":"number node, value=5585","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=5585, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=311855136","layer":3},{"info":"number node, value=2238","layer":4},{"info":"number node, value=4096","layer":4},{"info":"compute binary expreesion, left_input=2238, right_input=4096, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3930","layer":3},{"info":"compute binary expreesion, left_input=311855136, right_input=3930, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-7620","layer":2},{"info":"number node, value=7017","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=7017, right_input=1640, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=3119","layer":4},{"info":"compute unary expreesion, input=3119, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1650, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-9836","layer":2},{"info":"compute binary expreesion, left_input=-7620, right_input=-9836, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"number node, value=2345","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=1250, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=7279","layer":4},{"info":"number node, value=7533","layer":4},{"info":"compute binary expreesion, left_input=7279, right_input=7533, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1343","layer":4},{"info":"number node, value=3341","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=3341, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9368","layer":3},{"info":"compute unary expreesion, input=9368, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, 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=-116, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻980⋾⨃∁⋰*⋻4218⊋≦⊧⋰*⋻1755∇⊂⋱⋰*⋻3094)⇴∐(⋰*⋻52AA≚⊃≕⋰*⋻1261⨑≵⋬(⩎⋉⋰*⋻2386))↡⊰⫅((⋰*⋻1842⫚↹⊑⋰*⋻A37)⋭≵⋰*⋻5518⫢⨠⋰*⋻5729)≭(⩩(⋰*⋻1011⨸⪁⋰*⋻2568))=NaN","reverse_text":"NaN=(⋰*⋻980⋾⨃∁⋰*⋻4218⊋≦⊧⋰*⋻1755∇⊂⋱⋰*⋻3094)⇴∐(⋰*⋻52AA≚⊃≕⋰*⋻1261⨑≵⋬(⩎⋉⋰*⋻2386))↡⊰⫅((⋰*⋻1842⫚↹⊑⋰*⋻A37)⋭≵⋰*⋻5518⫢⨠⋰*⋻5729)≭(⩩(⋰*⋻1011⨸⪁⋰*⋻2568))","cot":[{"info":"⋰*⋻980⋾⨃∁⋰*⋻4218=⋰*⋻15004141A","layer":3},{"info":"⋰*⋻1755∇⊂⋱⋰*⋻3094=⋰*⋻2A53","layer":3},{"info":"⋰*⋻15004141A⊋≦⊧⋰*⋻2A53=⋰*⋻-57A8","layer":2},{"info":"⋰*⋻52AA≚⊃≕⋰*⋻1261=⋰*⋻61","layer":3},{"info":"⩎⋉⋰*⋻2386=⋰*⋻1270","layer":3},{"info":"⋰*⋻61⨑≵⋬⋰*⋻1270=⋰*⋻-7432","layer":2},{"info":"⋰*⋻-57A8⇴∐⋰*⋻-7432=⋰*⋻-A6","layer":1},{"info":"⋰*⋻1842⫚↹⊑⋰*⋻A37=⋰*⋻-377","layer":3},{"info":"⋰*⋻5518⫢⨠⋰*⋻5729=⋰*⋻136","layer":3},{"info":"⋰*⋻-377⋭≵⋰*⋻136=⋰*⋻61","layer":2},{"info":"⋰*⋻1011⨸⪁⋰*⋻2568=⋰*⋻7047","layer":3},{"info":"⩩⋰*⋻7047=NaN","layer":2},{"info":"⋰*⋻61≭NaN=NaN","layer":1},{"info":"⋰*⋻-A6↡⊰⫅NaN=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"($2045$⨐$3297$∝$2950$⪭≯$3676$)⨜⨶($6364$∛$4519$)∴($2198$∟)⫦⪉($2167$⪚$4893$⊴($1824$⪮%⊝$1756$))∳⫺($1648$⫥∨⫟$1072$∠⫱$2911$⩘$1716$)","expression":"(⋰*⋻159A⨐⋰*⋻2528∝⋰*⋻2242⪭≯⋰*⋻2842)⨜⨶(⋰*⋻4866∛⋰*⋻3439)∴(⋰*⋻1719∟)⫦⪉(⋰*⋻16A0⪚⋰*⋻3749⊴(⋰*⋻1409⪮%⊝⋰*⋻1357))∳⫺(⋰*⋻1269⫥∨⫟⋰*⋻895∠⫱⋰*⋻2207⩘⋰*⋻1320)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4738,"operation_count":15,"complexity_ratio":315.8666666666667,"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":2045,"base":11},"right_expr":{"type":"numeric_atoms","value":3297,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2950,"base":11},"right_expr":{"type":"numeric_atoms","value":3676,"base":11}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":6364,"base":11},"right_expr":{"type":"numeric_atoms","value":4519,"base":11}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2198,"base":11}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2167,"base":11},"right_expr":{"type":"numeric_atoms","value":4893,"base":11}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1824,"base":11},"right_expr":{"type":"numeric_atoms","value":1756,"base":11}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1648,"base":11},"right_expr":{"type":"numeric_atoms","value":1072,"base":11}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2911,"base":11},"right_expr":{"type":"numeric_atoms","value":1716,"base":11}}}}},"used_operators":["wscyQdcy20","HiPekx5b7W","cTDWOvIxvz","Noe24qw2ks","XAx5wpdLa6","hrf7POJlIJ","w2537kitQq","hTbEZDJLEm","AzXXKTstlj","Nsiff2A1zJ","HrjLwUk87U","IWmyXbctLI","QvoQhV0rrE","KYD54nUTWz","cHh1gJQ2o6"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2045","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=3297, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4090","layer":3},{"info":"number node, value=2950","layer":4},{"info":"number node, value=3676","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=3676, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4090, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=6364","layer":4},{"info":"number node, value=4519","layer":4},{"info":"compute binary expreesion, left_input=6364, right_input=4519, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2198","layer":4},{"info":"compute unary expreesion, input=2198, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=113, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=308","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=308, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=2167","layer":4},{"info":"number node, value=4893","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=4893, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5808","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=1756, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3964","layer":3},{"info":"compute binary expreesion, left_input=-5808, right_input=3964, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1648","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=1072, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2911","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=1716, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻159A⨐⋰*⋻2528∝⋰*⋻2242⪭≯⋰*⋻2842)⨜⨶(⋰*⋻4866∛⋰*⋻3439)∴(⋰*⋻1719∟)⫦⪉(⋰*⋻16A0⪚⋰*⋻3749⊴(⋰*⋻1409⪮%⊝⋰*⋻1357))∳⫺(⋰*⋻1269⫥∨⫟⋰*⋻895∠⫱⋰*⋻2207⩘⋰*⋻1320)=NaN","reverse_text":"NaN=(⋰*⋻159A⨐⋰*⋻2528∝⋰*⋻2242⪭≯⋰*⋻2842)⨜⨶(⋰*⋻4866∛⋰*⋻3439)∴(⋰*⋻1719∟)⫦⪉(⋰*⋻16A0⪚⋰*⋻3749⊴(⋰*⋻1409⪮%⊝⋰*⋻1357))∳⫺(⋰*⋻1269⫥∨⫟⋰*⋻895∠⫱⋰*⋻2207⩘⋰*⋻1320)","cot":[{"info":"⋰*⋻159A⨐⋰*⋻2528=⋰*⋻-3089","layer":3},{"info":"⋰*⋻2242⪭≯⋰*⋻2842=NaN","layer":3},{"info":"⋰*⋻-3089∝NaN=NaN","layer":2},{"info":"⋰*⋻4866∛⋰*⋻3439=⋰*⋻-55A","layer":3},{"info":"⋰*⋻1719∟=⋰*⋻A3","layer":3},{"info":"⋰*⋻-55A∴⋰*⋻A3=⋰*⋻260","layer":2},{"info":"NaN⨜⨶⋰*⋻260=NaN","layer":1},{"info":"⋰*⋻16A0⪚⋰*⋻3749=⋰*⋻-4400","layer":3},{"info":"⋰*⋻1409⪮%⊝⋰*⋻1357=⋰*⋻2A84","layer":3},{"info":"⋰*⋻-4400⊴⋰*⋻2A84=NaN","layer":2},{"info":"⋰*⋻1269⫥∨⫟⋰*⋻895=NaN","layer":3},{"info":"⋰*⋻2207⩘⋰*⋻1320=⋰*⋻136","layer":3},{"info":"NaN∠⫱⋰*⋻136=NaN","layer":2},{"info":"NaN∳⫺NaN=⋰*⋻-217","layer":1},{"info":"NaN⫦⪉⋰*⋻-217=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"((≸≮$2285$⨥⫆$2009$)⫸⊐(⫯($1116$⇀∌)))⨂≜(((⨮↦↱$1147$)⩉⊫⨁)⇍⊗((⩩$4470$)≄⊠($4621$+$1154$)))","expression":"((≸≮⋰*⋻1798⨥⫆⋰*⋻1567)⫸⊐(⫯(⋰*⋻925⇀∌)))⨂≜(((⨮↦↱⋰*⋻953)⩉⊫⨁)⇍⊗((⩩⋰*⋻33A4)≄⊠(⋰*⋻3521+⋰*⋻95A)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":75830,"operation_count":12,"complexity_ratio":6319.166666666667,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2285,"base":11},"right_expr":{"type":"numeric_atoms","value":2009,"base":11}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":1116,"base":11}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1147,"base":11}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4470,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4621,"base":11},"right_expr":{"type":"numeric_atoms","value":1154,"base":11}}}}},"used_operators":["k1SHOSEABc","mqXw5SEYmG","AljMvE3RRm","yXekIHxTD4","H6BK1Evt7c","2k53nXOpI5","5uvYHDjeKN","7qqUquhhSb","sYcpBQ0cFf","vXNesLlMH1","kMhfGuqI2H","W4YGzv6Whe"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","7j4O788W3g","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2285","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=2009, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3894","layer":3},{"info":"compute unary expreesion, input=3894, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=11014","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11014, 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=1147","layer":4},{"info":"compute unary expreesion, input=1147, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-1271007","layer":3},{"info":"compute unary expreesion, input=-1271007, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-1271007","layer":2},{"info":"number node, value=4470","layer":4},{"info":"compute unary expreesion, input=4470, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=4621","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=4621, right_input=1154, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5775","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5775, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=97068","layer":2},{"info":"compute binary expreesion, left_input=-1271007, right_input=97068, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≸≮⋰*⋻1798⨥⫆⋰*⋻1567)⫸⊐(⫯(⋰*⋻925⇀∌)))⨂≜(((⨮↦↱⋰*⋻953)⩉⊫⨁)⇍⊗((⩩⋰*⋻33A4)≄⊠(⋰*⋻3521+⋰*⋻95A)))=NaN","reverse_text":"NaN=((≸≮⋰*⋻1798⨥⫆⋰*⋻1567)⫸⊐(⫯(⋰*⋻925⇀∌)))⨂≜(((⨮↦↱⋰*⋻953)⩉⊫⨁)⇍⊗((⩩⋰*⋻33A4)≄⊠(⋰*⋻3521+⋰*⋻95A)))","cot":[{"info":"⋰*⋻1798⨥⫆⋰*⋻1567=⋰*⋻2A20","layer":3},{"info":"≸≮⋰*⋻2A20=NaN","layer":2},{"info":"⋰*⋻925⇀∌=⋰*⋻A3","layer":3},{"info":"⫯⋰*⋻A3=⋰*⋻8303","layer":2},{"info":"NaN⫸⊐⋰*⋻8303=NaN","layer":1},{"info":"⨮↦↱⋰*⋻953=⋰*⋻-798A21","layer":3},{"info":"⋰*⋻-798A21⩉⊫⨁=⋰*⋻-798A21","layer":2},{"info":"⩩⋰*⋻33A4=NaN","layer":3},{"info":"⋰*⋻3521+⋰*⋻95A=⋰*⋻4380","layer":3},{"info":"NaN≄⊠⋰*⋻4380=⋰*⋻66A24","layer":2},{"info":"⋰*⋻-798A21⇍⊗⋰*⋻66A24=⋰*⋻-202","layer":1},{"info":"NaN⨂≜⋰*⋻-202=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"($6569$⨚$4934$⩷∴($3633$⊚⫡⫭)⨽($6058$%$3104$)⊔$1008$≁↽≥$1384$)⇍⊗(($1222$≳⇉$3081$⫔⩽⩺($1185$↸$8279$))⨹)","expression":"(⋰*⋻4A32⨚⋰*⋻3786⩷∴(⋰*⋻2803⊚⫡⫭)⨽(⋰*⋻4608%⋰*⋻2372)⊔⋰*⋻837≁↽≥⋰*⋻1049)⇍⊗((⋰*⋻A11≳⇉⋰*⋻2351⫔⩽⩺(⋰*⋻988↸⋰*⋻6247))⨹)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":141251801,"operation_count":12,"complexity_ratio":11770983.416666666,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":6569,"base":11},"right_expr":{"type":"numeric_atoms","value":4934,"base":11}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":3633,"base":11}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6058,"base":11},"right_expr":{"type":"numeric_atoms","value":3104,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1008,"base":11},"right_expr":{"type":"numeric_atoms","value":1384,"base":11}}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1222,"base":11},"right_expr":{"type":"numeric_atoms","value":3081,"base":11}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1185,"base":11},"right_expr":{"type":"numeric_atoms","value":8279,"base":11}}}}},"used_operators":["5uvYHDjeKN","8HhzD0ZcuI","9FxExcQeMw","nREPSIbpBE","SpZWOsLKZJ","E4l6HwMY31","k8jYdgA6NY","ncHt1X6cMc","UnCoSGIALn","i9eR4S00cU","V0kx6qeWkN","1eCjFl0mb9"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","oWn0xqSxBt","3Oe9XWJUTD","mp7IySMOzn","Tw270M8GLb","fu6greOZ01","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6569","layer":4},{"info":"number node, value=4934","layer":4},{"info":"compute binary expreesion, left_input=6569, right_input=4934, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-5664","layer":3},{"info":"number node, value=3633","layer":4},{"info":"compute unary expreesion, input=3633, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-6340","layer":3},{"info":"compute binary expreesion, left_input=-5664, right_input=-6340, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1320","layer":2},{"info":"number node, value=6058","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=6058, right_input=3104, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2954","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1384, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=20180","layer":3},{"info":"compute binary expreesion, left_input=2954, right_input=20180, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=104408","layer":2},{"info":"compute binary expreesion, left_input=1320, right_input=104408, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5539110","layer":1},{"info":"number node, value=1222","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=3081, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1185","layer":4},{"info":"number node, value=8279","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=8279, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1185","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1185, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5539110, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4A32⨚⋰*⋻3786⩷∴(⋰*⋻2803⊚⫡⫭)⨽(⋰*⋻4608%⋰*⋻2372)⊔⋰*⋻837≁↽≥⋰*⋻1049)⇍⊗((⋰*⋻A11≳⇉⋰*⋻2351⫔⩽⩺(⋰*⋻988↸⋰*⋻6247))⨹)=NaN","reverse_text":"NaN=(⋰*⋻4A32⨚⋰*⋻3786⩷∴(⋰*⋻2803⊚⫡⫭)⨽(⋰*⋻4608%⋰*⋻2372)⊔⋰*⋻837≁↽≥⋰*⋻1049)⇍⊗((⋰*⋻A11≳⇉⋰*⋻2351⫔⩽⩺(⋰*⋻988↸⋰*⋻6247))⨹)","cot":[{"info":"⋰*⋻4A32⨚⋰*⋻3786=⋰*⋻-428A","layer":3},{"info":"⋰*⋻2803⊚⫡⫭=⋰*⋻-4844","layer":3},{"info":"⋰*⋻-428A⩷∴⋰*⋻-4844=⋰*⋻AA0","layer":2},{"info":"⋰*⋻4608%⋰*⋻2372=⋰*⋻2246","layer":3},{"info":"⋰*⋻837≁↽≥⋰*⋻1049=⋰*⋻14186","layer":3},{"info":"⋰*⋻2246⊔⋰*⋻14186=⋰*⋻71497","layer":2},{"info":"⋰*⋻AA0⨽⋰*⋻71497=⋰*⋻-3143685","layer":1},{"info":"⋰*⋻A11≳⇉⋰*⋻2351=NaN","layer":3},{"info":"⋰*⋻988↸⋰*⋻6247=⋰*⋻988","layer":3},{"info":"NaN⫔⩽⩺⋰*⋻988=NaN","layer":2},{"info":"NaN⨹=NaN","layer":1},{"info":"⋰*⋻-3143685⇍⊗NaN=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"($3595$⋹⋡⊁$1126$⪉⨛(≀↧⇸$5551$))⇻⋧≁($4184$⫣⪄⊒$1096$⊲⩕⊾($7637$≦≮≮))⨳⩥⨓((($1643$⨹)⫠)⪥⨬⪅)","expression":"(⋰*⋻2779⋹⋡⊁⋰*⋻934⪉⨛(≀↧⇸⋰*⋻4197))⇻⋧≁(⋰*⋻3164⫣⪄⊒⋰*⋻907⊲⩕⊾(⋰*⋻5813≦≮≮))⨳⩥⨓(((⋰*⋻1264⨹)⫠)⪥⨬⪅)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":112566,"operation_count":11,"complexity_ratio":10233.272727272728,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3595,"base":11},"right_expr":{"type":"numeric_atoms","value":1126,"base":11}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":5551,"base":11}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4184,"base":11},"right_expr":{"type":"numeric_atoms","value":1096,"base":11}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7637,"base":11}}}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":1643,"base":11}}}}},"used_operators":["nCS4ZIUYfx","jCPkEVoL5K","EWw2JM7wp4","As8RqfVLgs","ljTHtUsqzn","DmTXOeWf9t","RabNbG55vr","D4vGDi5EA2","zNRQejTB5A","6SnOT2rOjz","UnCoSGIALn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","XPYlsWDdGa","23Mk6UjR3U","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","mp7IySMOzn"],"result":"⋰*⋻34929","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3595","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=3595, right_input=1126, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1876","layer":3},{"info":"number node, value=5551","layer":4},{"info":"compute unary expreesion, input=5551, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=11102","layer":3},{"info":"compute binary expreesion, left_input=1876, right_input=11102, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-5259","layer":2},{"info":"number node, value=4184","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=4184, right_input=1096, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6124","layer":3},{"info":"number node, value=7637","layer":4},{"info":"compute unary expreesion, input=7637, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-22911","layer":3},{"info":"compute binary expreesion, left_input=-6124, right_input=-22911, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=317120","layer":2},{"info":"compute binary expreesion, left_input=-5259, right_input=317120, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-50708","layer":1},{"info":"number node, value=1643","layer":4},{"info":"compute unary expreesion, input=1643, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=3286","layer":3},{"info":"compute unary expreesion, input=3286, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-341","layer":1},{"info":"compute binary expreesion, left_input=-50708, right_input=-341, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=50367","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2779⋹⋡⊁⋰*⋻934⪉⨛(≀↧⇸⋰*⋻4197))⇻⋧≁(⋰*⋻3164⫣⪄⊒⋰*⋻907⊲⩕⊾(⋰*⋻5813≦≮≮))⨳⩥⨓(((⋰*⋻1264⨹)⫠)⪥⨬⪅)=⋰*⋻34929","reverse_text":"⋰*⋻34929=(⋰*⋻2779⋹⋡⊁⋰*⋻934⪉⨛(≀↧⇸⋰*⋻4197))⇻⋧≁(⋰*⋻3164⫣⪄⊒⋰*⋻907⊲⩕⊾(⋰*⋻5813≦≮≮))⨳⩥⨓(((⋰*⋻1264⨹)⫠)⪥⨬⪅)","cot":[{"info":"⋰*⋻2779⋹⋡⊁⋰*⋻934=⋰*⋻1456","layer":3},{"info":"≀↧⇸⋰*⋻4197=⋰*⋻8383","layer":3},{"info":"⋰*⋻1456⪉⨛⋰*⋻8383=⋰*⋻-3A51","layer":2},{"info":"⋰*⋻3164⫣⪄⊒⋰*⋻907=⋰*⋻-4668","layer":3},{"info":"⋰*⋻5813≦≮≮=⋰*⋻-16239","layer":3},{"info":"⋰*⋻-4668⊲⩕⊾⋰*⋻-16239=⋰*⋻1A7291","layer":2},{"info":"⋰*⋻-3A51⇻⋧≁⋰*⋻1A7291=⋰*⋻-35109","layer":1},{"info":"⋰*⋻1264⨹=⋰*⋻2518","layer":3},{"info":"⋰*⋻2518⫠=⋰*⋻0","layer":2},{"info":"⋰*⋻0⪥⨬⪅=⋰*⋻-290","layer":1},{"info":"⋰*⋻-35109⨳⩥⨓⋰*⋻-290=⋰*⋻34929","layer":0}]}
{"id":614,"expression_no_base_symbol":"-(≸≮(⫟$6779$⫒⫫$5146$))","expression":"-(≸≮(⫟⋰*⋻5103⫒⫫⋰*⋻3959))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":4,"complexity_ratio":9.75,"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":6779,"base":11},"right_expr":{"type":"numeric_atoms","value":5146,"base":11}}}}},"used_operators":["t8gj7n24qd","AljMvE3RRm","z4E1FaHLuy","6Ko8hGgeMq"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=6779","layer":4},{"info":"number node, value=5146","layer":4},{"info":"compute binary expreesion, left_input=6779, right_input=5146, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"-(≸≮(⫟⋰*⋻5103⫒⫫⋰*⋻3959))=NaN","reverse_text":"NaN=-(≸≮(⫟⋰*⋻5103⫒⫫⋰*⋻3959))","cot":[{"info":"⋰*⋻5103⫒⫫⋰*⋻3959=NaN","layer":3},{"info":"⫟NaN=NaN","layer":2},{"info":"≸≮NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"(≑⋹($1073$↳≱$6898$⫏⊷))↱((⋣$1995$)⩌⋺($1788$⩍⋽⫝̸$1692$)∖($3031$⇆⨓≜)∑⇟⊟($2903$⊋≦⊧$1838$))","expression":"(≑⋹(⋰*⋻896↳≱⋰*⋻5201⫏⊷))↱((⋣⋰*⋻1554)⩌⋺(⋰*⋻1386⩍⋽⫝̸⋰*⋻12A9)∖(⋰*⋻2306⇆⨓≜)∑⇟⊟(⋰*⋻21AA⊋≦⊧⋰*⋻1421))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1918,"operation_count":11,"complexity_ratio":174.36363636363637,"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":1073,"base":11},"right_expr":{"type":"numeric_atoms","value":6898,"base":11}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1995,"base":11}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1788,"base":11},"right_expr":{"type":"numeric_atoms","value":1692,"base":11}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3031,"base":11}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2903,"base":11},"right_expr":{"type":"numeric_atoms","value":1838,"base":11}}}}},"used_operators":["SR5kFfdi6N","6B9nyZLogK","dcShxvzhyw","JwTKLfZU96","tXD093vOjl","g7Hmc5v1ko","zQWRhDnn8F","BiWNJpBvwn","U7g4x0WXJJ","KvvgdUaMHJ","oRDoc9rAEX"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Ph9nP6C5qx","xUOZtlo3hN","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Uaa54Peajs","KYD54nUTWz","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⋰*⋻10856","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"number node, value=6898","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=6898, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":2},{"info":"compute unary expreesion, input=-818, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":1},{"info":"number node, value=1995","layer":4},{"info":"compute unary expreesion, input=1995, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-586435","layer":3},{"info":"number node, value=1788","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1692, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=746","layer":3},{"info":"compute binary expreesion, left_input=-586435, right_input=746, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=585568","layer":2},{"info":"number node, value=3031","layer":4},{"info":"compute unary expreesion, input=3031, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=2903","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=2903, right_input=1838, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3436","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3436, 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=585568, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-766, right_input=0, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15670","layer":0}],"base":11,"result_base":11,"text":"(≑⋹(⋰*⋻896↳≱⋰*⋻5201⫏⊷))↱((⋣⋰*⋻1554)⩌⋺(⋰*⋻1386⩍⋽⫝̸⋰*⋻12A9)∖(⋰*⋻2306⇆⨓≜)∑⇟⊟(⋰*⋻21AA⊋≦⊧⋰*⋻1421))=⋰*⋻10856","reverse_text":"⋰*⋻10856=(≑⋹(⋰*⋻896↳≱⋰*⋻5201⫏⊷))↱((⋣⋰*⋻1554)⩌⋺(⋰*⋻1386⩍⋽⫝̸⋰*⋻12A9)∖(⋰*⋻2306⇆⨓≜)∑⇟⊟(⋰*⋻21AA⊋≦⊧⋰*⋻1421))","cot":[{"info":"⋰*⋻896↳≱⋰*⋻5201=⋰*⋻0","layer":3},{"info":"⋰*⋻0⫏⊷=⋰*⋻-684","layer":2},{"info":"≑⋹⋰*⋻-684=⋰*⋻-637","layer":1},{"info":"⋣⋰*⋻1554=⋰*⋻-370663","layer":3},{"info":"⋰*⋻1386⩍⋽⫝̸⋰*⋻12A9=⋰*⋻619","layer":3},{"info":"⋰*⋻-370663⩌⋺⋰*⋻619=⋰*⋻36AA45","layer":2},{"info":"⋰*⋻2306⇆⨓≜=NaN","layer":3},{"info":"⋰*⋻21AA⊋≦⊧⋰*⋻1421=⋰*⋻-2644","layer":3},{"info":"NaN∑⇟⊟⋰*⋻-2644=NaN","layer":2},{"info":"⋰*⋻36AA45∖NaN=⋰*⋻0","layer":1},{"info":"⋰*⋻-637↱⋰*⋻0=⋰*⋻10856","layer":0}]}
{"id":616,"expression_no_base_symbol":"((≇⪴(≑⋹$3369$))≒∊(($4573$⨱∎)⩭))∴((($5121$⩟)⪍↜⋙$3196$⨚⇆$5371$)∋(⋗⩴⪓$5168$⨂≜$5214$))","expression":"((≇⪴(≑⋹⋰*⋻2593))≒∊((⋰*⋻3488⨱∎)⩭))∴(((⋰*⋻3936⩟)⪍↜⋙⋰*⋻2446⨚⇆⋰*⋻4043)∋(⋗⩴⪓⋰*⋻3979⨂≜⋰*⋻3A10))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":60987,"operation_count":12,"complexity_ratio":5082.25,"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":3369,"base":11}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":4573,"base":11}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":5121,"base":11}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3196,"base":11},"right_expr":{"type":"numeric_atoms","value":5371,"base":11}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5168,"base":11},"right_expr":{"type":"numeric_atoms","value":5214,"base":11}}}}},"used_operators":["hrf7POJlIJ","5KTvxBwnZo","zoVPnxeHJ3","6B9nyZLogK","yIPP7u6H5x","MmTdOpaElr","ukq6epAj5P","L05ObWFQCd","fOIeswaMU4","lwHaAYXP2r","nOKPl9n5zu","k1SHOSEABc"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","tifHPKVTfV","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⋰*⋻7432","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3369","layer":4},{"info":"compute unary expreesion, input=3369, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-3610","layer":2},{"info":"number node, value=4573","layer":4},{"info":"compute unary expreesion, input=4573, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=-3610, right_input=450, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=4094","layer":1},{"info":"number node, value=5121","layer":4},{"info":"compute unary expreesion, input=5121, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-44862","layer":3},{"info":"number node, value=3196","layer":4},{"info":"number node, value=5371","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=5371, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-44862, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"number node, value=5168","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=5168, right_input=5214, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4094, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9836","layer":0}],"base":11,"result_base":11,"text":"((≇⪴(≑⋹⋰*⋻2593))≒∊((⋰*⋻3488⨱∎)⩭))∴(((⋰*⋻3936⩟)⪍↜⋙⋰*⋻2446⨚⇆⋰*⋻4043)∋(⋗⩴⪓⋰*⋻3979⨂≜⋰*⋻3A10))=⋰*⋻7432","reverse_text":"⋰*⋻7432=((≇⪴(≑⋹⋰*⋻2593))≒∊((⋰*⋻3488⨱∎)⩭))∴(((⋰*⋻3936⩟)⪍↜⋙⋰*⋻2446⨚⇆⋰*⋻4043)∋(⋗⩴⪓⋰*⋻3979⨂≜⋰*⋻3A10))","cot":[{"info":"≑⋹⋰*⋻2593=⋰*⋻1270","layer":3},{"info":"≇⪴⋰*⋻1270=⋰*⋻-2792","layer":2},{"info":"⋰*⋻3488⨱∎=⋰*⋻0","layer":3},{"info":"⋰*⋻0⩭=⋰*⋻37A","layer":2},{"info":"⋰*⋻-2792≒∊⋰*⋻37A=⋰*⋻3092","layer":1},{"info":"⋰*⋻3936⩟=⋰*⋻-30784","layer":3},{"info":"⋰*⋻2446⨚⇆⋰*⋻4043=NaN","layer":3},{"info":"⋰*⋻-30784⪍↜⋙NaN=NaN","layer":2},{"info":"⋰*⋻3979⨂≜⋰*⋻3A10=NaN","layer":3},{"info":"⋗⩴⪓NaN=NaN","layer":2},{"info":"NaN∋NaN=NaN","layer":1},{"info":"⋰*⋻3092∴NaN=⋰*⋻7432","layer":0}]}
{"id":617,"expression_no_base_symbol":"⇉-⫰(($3093$⨫⇇↔$5470$⩵∡($2181$⨑≵⋬$4693$))⫰⋱(($4790$+⇶⊼$2883$)⨱∎))","expression":"⇉-⫰((⋰*⋻2362⨫⇇↔⋰*⋻4123⩵∡(⋰*⋻1703⨑≵⋬⋰*⋻3587))⫰⋱((⋰*⋻3665+⇶⊼⋰*⋻2191)⨱∎))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":56,"operation_count":7,"complexity_ratio":8.0,"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":3093,"base":11},"right_expr":{"type":"numeric_atoms","value":5470,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2181,"base":11},"right_expr":{"type":"numeric_atoms","value":4693,"base":11}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4790,"base":11},"right_expr":{"type":"numeric_atoms","value":2883,"base":11}}}}},"used_operators":["IGFM8TAlm9","6o9Blt3TJ6","Y7wcNGrDQJ","LXhwmt4mBO","XnXgA4xnOs","MmTdOpaElr","TpPTUOHfaN"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","glklzrTFfD","tifHPKVTfV","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","tifHPKVTfV","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3093","layer":4},{"info":"number node, value=5470","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=5470, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=4693","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=4693, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-20567","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-20567, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-19107","layer":2},{"info":"number node, value=4790","layer":4},{"info":"number node, value=2883","layer":4},{"info":"compute binary expreesion, left_input=4790, right_input=2883, 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 = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-19107, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇉-⫰((⋰*⋻2362⨫⇇↔⋰*⋻4123⩵∡(⋰*⋻1703⨑≵⋬⋰*⋻3587))⫰⋱((⋰*⋻3665+⇶⊼⋰*⋻2191)⨱∎))=NaN","reverse_text":"NaN=⇉-⫰((⋰*⋻2362⨫⇇↔⋰*⋻4123⩵∡(⋰*⋻1703⨑≵⋬⋰*⋻3587))⫰⋱((⋰*⋻3665+⇶⊼⋰*⋻2191)⨱∎))","cot":[{"info":"⋰*⋻2362⨫⇇↔⋰*⋻4123=⋰*⋻-43A","layer":3},{"info":"⋰*⋻1703⨑≵⋬⋰*⋻3587=⋰*⋻-144A8","layer":3},{"info":"⋰*⋻-43A⩵∡⋰*⋻-144A8=⋰*⋻-133A0","layer":2},{"info":"⋰*⋻3665+⇶⊼⋰*⋻2191=NaN","layer":3},{"info":"NaN⨱∎=NaN","layer":2},{"info":"⋰*⋻-133A0⫰⋱NaN=NaN","layer":1},{"info":"⇉-⫰NaN=NaN","layer":0}]}
{"id":618,"expression_no_base_symbol":"⨵(($2617$⋥⋵⩄$1112$⪁$9590$≓∲$1442$)⪛($3097$⋳⪒$6166$⫡⨏($5136$⫡⨏$2017$)))","expression":"⨵((⋰*⋻1A6A⋥⋵⩄⋰*⋻921⪁⋰*⋻7229≓∲⋰*⋻10A1)⪛(⋰*⋻2366⋳⪒⋰*⋻46A6⫡⨏(⋰*⋻394A⫡⨏⋰*⋻1574)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":96983,"operation_count":8,"complexity_ratio":12122.875,"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":2617,"base":11},"right_expr":{"type":"numeric_atoms","value":1112,"base":11}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":9590,"base":11},"right_expr":{"type":"numeric_atoms","value":1442,"base":11}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3097,"base":11},"right_expr":{"type":"numeric_atoms","value":6166,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5136,"base":11},"right_expr":{"type":"numeric_atoms","value":2017,"base":11}}}}},"used_operators":["Tl3Y52tvF8","uFcxV4UQCh","I7sXao9hZE","7t3wd0Fuz7","s1XTVnmDOJ","QMFrweE19q","12rbrZMWeM"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1112, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=9590","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=9590, right_input=1442, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=96683","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=96683, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=3097","layer":4},{"info":"number node, value=6166","layer":4},{"info":"compute binary expreesion, left_input=3097, right_input=6166, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-259","layer":3},{"info":"number node, value=5136","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=5136, right_input=2017, 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=30497","layer":3},{"info":"compute binary expreesion, left_input=-259, right_input=30497, 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=60482","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=60482, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨵((⋰*⋻1A6A⋥⋵⩄⋰*⋻921⪁⋰*⋻7229≓∲⋰*⋻10A1)⪛(⋰*⋻2366⋳⪒⋰*⋻46A6⫡⨏(⋰*⋻394A⫡⨏⋰*⋻1574)))=NaN","reverse_text":"NaN=⨵((⋰*⋻1A6A⋥⋵⩄⋰*⋻921⪁⋰*⋻7229≓∲⋰*⋻10A1)⪛(⋰*⋻2366⋳⪒⋰*⋻46A6⫡⨏(⋰*⋻394A⫡⨏⋰*⋻1574)))","cot":[{"info":"⋰*⋻1A6A⋥⋵⩄⋰*⋻921=⋰*⋻A3","layer":3},{"info":"⋰*⋻7229≓∲⋰*⋻10A1=⋰*⋻66704","layer":3},{"info":"⋰*⋻A3⪁⋰*⋻66704=NaN","layer":2},{"info":"⋰*⋻2366⋳⪒⋰*⋻46A6=⋰*⋻-216","layer":3},{"info":"⋰*⋻394A⫡⨏⋰*⋻1574=⋰*⋻20A05","layer":3},{"info":"⋰*⋻-216⫡⨏⋰*⋻20A05=⋰*⋻41494","layer":2},{"info":"NaN⪛⋰*⋻41494=NaN","layer":1},{"info":"⨵NaN=NaN","layer":0}]}
{"id":619,"expression_no_base_symbol":"($1787$⇄$3287$≃$1104$⪛$1359$)⨿(($1960$⊊)⩒⫫$5101$⪛$3163$)⊾⪯⋞(⇠(⩏⊷≩$2845$))⋅⇍((∑⇻≧$2104$)⋻⩜⩜$3395$⪍↜⋙$3038$)","expression":"(⋰*⋻1385⇄⋰*⋻2519≃⋰*⋻914⪛⋰*⋻1026)⨿((⋰*⋻1522⊊)⩒⫫⋰*⋻3918⪛⋰*⋻2416)⊾⪯⋞(⇠(⩏⊷≩⋰*⋻2157))⋅⇍((∑⇻≧⋰*⋻1643)⋻⩜⩜⋰*⋻2607⪍↜⋙⋰*⋻2312)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":797,"operation_count":14,"complexity_ratio":56.92857142857143,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1787,"base":11},"right_expr":{"type":"numeric_atoms","value":3287,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1104,"base":11},"right_expr":{"type":"numeric_atoms","value":1359,"base":11}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1960,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5101,"base":11},"right_expr":{"type":"numeric_atoms","value":3163,"base":11}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2845,"base":11}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2104,"base":11}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3395,"base":11},"right_expr":{"type":"numeric_atoms","value":3038,"base":11}}}}},"used_operators":["HK0tfVPux8","abYXlopdE0","YbVcJGFEVW","3EYGwJThht","uFcxV4UQCh","KFSx94NKJn","W9R8I5fN5A","AdZkA7nFnk","18saOjeKKm","uOZ1tnYMDE","oDCm7WA9JY","l1M9WJ3V7u","L05ObWFQCd"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","23Mk6UjR3U","12rbrZMWeM","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⋰*⋻-684","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=3287, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1359, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1104","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1104, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-40","layer":2},{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"number node, value=5101","layer":4},{"info":"number node, value=3163","layer":4},{"info":"compute binary expreesion, left_input=5101, right_input=3163, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1938","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=1938, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=90625","layer":2},{"info":"compute binary expreesion, left_input=-40, right_input=90625, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":1},{"info":"number node, value=2845","layer":4},{"info":"compute unary expreesion, input=2845, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=5389","layer":3},{"info":"compute unary expreesion, input=5389, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-5147","layer":2},{"info":"number node, value=2104","layer":4},{"info":"compute unary expreesion, input=2104, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=3395","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=3038, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=714","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=714, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5332","layer":2},{"info":"compute binary expreesion, left_input=-5147, right_input=5332, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=121, right_input=-22, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1385⇄⋰*⋻2519≃⋰*⋻914⪛⋰*⋻1026)⨿((⋰*⋻1522⊊)⩒⫫⋰*⋻3918⪛⋰*⋻2416)⊾⪯⋞(⇠(⩏⊷≩⋰*⋻2157))⋅⇍((∑⇻≧⋰*⋻1643)⋻⩜⩜⋰*⋻2607⪍↜⋙⋰*⋻2312)=⋰*⋻-684","reverse_text":"⋰*⋻-684=(⋰*⋻1385⇄⋰*⋻2519≃⋰*⋻914⪛⋰*⋻1026)⨿((⋰*⋻1522⊊)⩒⫫⋰*⋻3918⪛⋰*⋻2416)⊾⪯⋞(⇠(⩏⊷≩⋰*⋻2157))⋅⇍((∑⇻≧⋰*⋻1643)⋻⩜⩜⋰*⋻2607⪍↜⋙⋰*⋻2312)","cot":[{"info":"⋰*⋻1385⇄⋰*⋻2519=⋰*⋻0","layer":3},{"info":"⋰*⋻914⪛⋰*⋻1026=⋰*⋻914","layer":3},{"info":"⋰*⋻0≃⋰*⋻914=⋰*⋻-37","layer":2},{"info":"⋰*⋻1522⊊=⋰*⋻62351","layer":3},{"info":"⋰*⋻3918⪛⋰*⋻2416=⋰*⋻1502","layer":3},{"info":"⋰*⋻62351⩒⫫⋰*⋻1502=⋰*⋻620A7","layer":2},{"info":"⋰*⋻-37⨿⋰*⋻620A7=⋰*⋻100","layer":1},{"info":"⩏⊷≩⋰*⋻2157=⋰*⋻405A","layer":3},{"info":"⇠⋰*⋻405A=⋰*⋻-395A","layer":2},{"info":"∑⇻≧⋰*⋻1643=⋰*⋻-705","layer":3},{"info":"⋰*⋻2607⪍↜⋙⋰*⋻2312=⋰*⋻59A","layer":3},{"info":"⋰*⋻-705⋻⩜⩜⋰*⋻59A=⋰*⋻4008","layer":2},{"info":"⋰*⋻-395A⋅⇍⋰*⋻4008=⋰*⋻-20","layer":1},{"info":"⋰*⋻100⊾⪯⋞⋰*⋻-20=⋰*⋻-684","layer":0}]}
{"id":620,"expression_no_base_symbol":"⋃(+⊝⨔($2218$∌$1654$⫲≸⪮$3262$⨿$2761$))","expression":"⋃(+⊝⨔(⋰*⋻1737∌⋰*⋻1274⫲≸⪮⋰*⋻24A6⨿⋰*⋻2090))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1900,"operation_count":5,"complexity_ratio":380.0,"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":2218,"base":11},"right_expr":{"type":"numeric_atoms","value":1654,"base":11}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3262,"base":11},"right_expr":{"type":"numeric_atoms","value":2761,"base":11}}}}},"used_operators":["3mBM5G4a3l","DhbWaqg5eL","P3lXMJvFrc","8cLx32lpNA","abYXlopdE0"],"dependent_operators":["g55IO6H4Gj","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⋰*⋻2400","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2218","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=1654, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1654","layer":3},{"info":"number node, value=3262","layer":4},{"info":"number node, value=2761","layer":4},{"info":"compute binary expreesion, left_input=3262, right_input=2761, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-1654, right_input=-319, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-1654","layer":2},{"info":"compute unary expreesion, input=-1654, 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 = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3146","layer":0}],"base":11,"result_base":11,"text":"⋃(+⊝⨔(⋰*⋻1737∌⋰*⋻1274⫲≸⪮⋰*⋻24A6⨿⋰*⋻2090))=⋰*⋻2400","reverse_text":"⋰*⋻2400=⋃(+⊝⨔(⋰*⋻1737∌⋰*⋻1274⫲≸⪮⋰*⋻24A6⨿⋰*⋻2090))","cot":[{"info":"⋰*⋻1737∌⋰*⋻1274=⋰*⋻-1274","layer":3},{"info":"⋰*⋻24A6⨿⋰*⋻2090=⋰*⋻-270","layer":3},{"info":"⋰*⋻-1274⫲≸⪮⋰*⋻-270=⋰*⋻-1274","layer":2},{"info":"+⊝⨔⋰*⋻-1274=⋰*⋻1164","layer":1},{"info":"⋃⋰*⋻1164=⋰*⋻2400","layer":0}]}
{"id":621,"expression_no_base_symbol":"((⊗$1954$)⨐⩸⫘$3681$+⪬∐$2193$)⪚(↥$3761$⨐$2519$)⨭⪣((⋠∜$2285$)+$5352$→⨶⪴$1582$)⩷∴($1438$⨸$2840$⩏)","expression":"((⊗⋰*⋻1517)⨐⩸⫘⋰*⋻2847+⪬∐⋰*⋻1714)⪚(↥⋰*⋻290A⨐⋰*⋻1990)⨭⪣((⋠∜⋰*⋻1798)+⋰*⋻4026→⨶⪴⋰*⋻1209)⩷∴(⋰*⋻1098⨸⋰*⋻2152⩏)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2353,"operation_count":13,"complexity_ratio":181.0,"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":1954,"base":11}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3681,"base":11},"right_expr":{"type":"numeric_atoms","value":2193,"base":11}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3761,"base":11},"right_expr":{"type":"numeric_atoms","value":2519,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2285,"base":11}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5352,"base":11},"right_expr":{"type":"numeric_atoms","value":1582,"base":11}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1438,"base":11},"right_expr":{"type":"numeric_atoms","value":2840,"base":11}}}}},"used_operators":["kn8WO9XteQ","HrjLwUk87U","fu6greOZ01","RhiyfpczSx","2GS7woTJqF","A8NUZmVepG","Noe24qw2ks","9FxExcQeMw","W4YGzv6Whe","ZJpFhNJr3x","bF6eod5Gvf","iA2gmKZ3Wj","KmoU8R5UQR"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","3ViojmjbAp","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","g55IO6H4Gj","D4vGDi5EA2","k8jYdgA6NY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","8w2t5hMYqp","9FxExcQeMw","z6LnFrNh4i","Tcnh7f0tEr","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1954","layer":4},{"info":"compute unary expreesion, input=1954, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3908","layer":3},{"info":"number node, value=3681","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=3681, right_input=2193, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11043","layer":3},{"info":"compute binary expreesion, left_input=-3908, right_input=-11043, 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=3761","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=3761, right_input=2519, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7522","layer":3},{"info":"compute unary expreesion, input=-7522, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=26","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=2285","layer":4},{"info":"compute unary expreesion, input=2285, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=11424","layer":3},{"info":"number node, value=5352","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=5352, right_input=1582, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4746","layer":3},{"info":"compute binary expreesion, left_input=11424, right_input=-4746, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6678","layer":2},{"info":"number node, value=1438","layer":4},{"info":"number node, value=2840","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=2840, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2876","layer":3},{"info":"compute unary expreesion, input=2876, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6678, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13324","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13324, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊗⋰*⋻1517)⨐⩸⫘⋰*⋻2847+⪬∐⋰*⋻1714)⪚(↥⋰*⋻290A⨐⋰*⋻1990)⨭⪣((⋠∜⋰*⋻1798)+⋰*⋻4026→⨶⪴⋰*⋻1209)⩷∴(⋰*⋻1098⨸⋰*⋻2152⩏)=NaN","reverse_text":"NaN=((⊗⋰*⋻1517)⨐⩸⫘⋰*⋻2847+⪬∐⋰*⋻1714)⪚(↥⋰*⋻290A⨐⋰*⋻1990)⨭⪣((⋠∜⋰*⋻1798)+⋰*⋻4026→⨶⪴⋰*⋻1209)⩷∴(⋰*⋻1098⨸⋰*⋻2152⩏)","cot":[{"info":"⊗⋰*⋻1517=⋰*⋻-2A33","layer":3},{"info":"⋰*⋻2847+⪬∐⋰*⋻1714=⋰*⋻-832A","layer":3},{"info":"⋰*⋻-2A33⨐⩸⫘⋰*⋻-832A=NaN","layer":2},{"info":"⋰*⋻290A⨐⋰*⋻1990=⋰*⋻-5719","layer":3},{"info":"↥⋰*⋻-5719=⋰*⋻24","layer":2},{"info":"NaN⪚⋰*⋻24=NaN","layer":1},{"info":"⋠∜⋰*⋻1798=⋰*⋻8646","layer":3},{"info":"⋰*⋻4026→⨶⪴⋰*⋻1209=⋰*⋻-3625","layer":3},{"info":"⋰*⋻8646+⋰*⋻-3625=⋰*⋻5021","layer":2},{"info":"⋰*⋻1098⨸⋰*⋻2152=⋰*⋻2185","layer":3},{"info":"⋰*⋻2185⩏=⋰*⋻0","layer":2},{"info":"⋰*⋻5021⩷∴⋰*⋻0=⋰*⋻A013","layer":1},{"info":"NaN⨭⪣⋰*⋻A013=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"(∤(⫯($4894$⫡⨏$5708$)))*(≸($2065$≃$1103$))⫲≸⪮($2351$⨫⇇↔$1940$⫦⪉$3696$⊔$3116$)","expression":"(∤(⫯(⋰*⋻374A⫡⨏⋰*⋻431A)))*(≸(⋰*⋻1608≃⋰*⋻913))⫲≸⪮(⋰*⋻1848⨫⇇↔⋰*⋻1504⫦⪉⋰*⋻2860⊔⋰*⋻2383)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1857,"operation_count":10,"complexity_ratio":185.7,"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":4894,"base":11},"right_expr":{"type":"numeric_atoms","value":5708,"base":11}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2065,"base":11},"right_expr":{"type":"numeric_atoms","value":1103,"base":11}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2351,"base":11},"right_expr":{"type":"numeric_atoms","value":1940,"base":11}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3696,"base":11},"right_expr":{"type":"numeric_atoms","value":3116,"base":11}}}}},"used_operators":["9HNa5Wba9A","k2HlF1dBQh","H6BK1Evt7c","QMFrweE19q","P3lXMJvFrc","eOf03JbCpp","YbVcJGFEVW","wscyQdcy20","LXhwmt4mBO","E4l6HwMY31"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⋰*⋻6600","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4894","layer":4},{"info":"number node, value=5708","layer":4},{"info":"compute binary expreesion, left_input=4894, right_input=5708, 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=36669","layer":3},{"info":"compute unary expreesion, input=36669, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-1525310","layer":2},{"info":"compute unary expreesion, input=-1525310, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1103, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-8300","layer":3},{"info":"compute unary expreesion, input=-8300, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=968","layer":2},{"info":"number node, value=2351","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=2351, right_input=1940, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3696","layer":4},{"info":"number node, value=3116","layer":4},{"info":"compute binary expreesion, left_input=3696, right_input=3116, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=20572","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=20572, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4892","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=4892, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=968, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8712","layer":0}],"base":11,"result_base":11,"text":"(∤(⫯(⋰*⋻374A⫡⨏⋰*⋻431A)))*(≸(⋰*⋻1608≃⋰*⋻913))⫲≸⪮(⋰*⋻1848⨫⇇↔⋰*⋻1504⫦⪉⋰*⋻2860⊔⋰*⋻2383)=⋰*⋻6600","reverse_text":"⋰*⋻6600=(∤(⫯(⋰*⋻374A⫡⨏⋰*⋻431A)))*(≸(⋰*⋻1608≃⋰*⋻913))⫲≸⪮(⋰*⋻1848⨫⇇↔⋰*⋻1504⫦⪉⋰*⋻2860⊔⋰*⋻2383)","cot":[{"info":"⋰*⋻374A⫡⨏⋰*⋻431A=⋰*⋻25606","layer":3},{"info":"⫯⋰*⋻25606=⋰*⋻-951A96","layer":2},{"info":"∤⋰*⋻-951A96=⋰*⋻9","layer":1},{"info":"⋰*⋻1608≃⋰*⋻913=⋰*⋻-6266","layer":3},{"info":"≸⋰*⋻-6266=⋰*⋻800","layer":2},{"info":"⋰*⋻1848⨫⇇↔⋰*⋻1504=⋰*⋻-43A","layer":3},{"info":"⋰*⋻2860⊔⋰*⋻2383=⋰*⋻14502","layer":3},{"info":"⋰*⋻-43A⫦⪉⋰*⋻14502=⋰*⋻3748","layer":2},{"info":"⋰*⋻800⫲≸⪮⋰*⋻3748=⋰*⋻800","layer":1},{"info":"⋰*⋻9*⋰*⋻800=⋰*⋻6600","layer":0}]}
{"id":623,"expression_no_base_symbol":"(⨦⪝(⨩∲⋌($5946$⪐)))⇔⨋","expression":"(⨦⪝(⨩∲⋌(⋰*⋻4516⪐)))⇔⨋","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":54,"operation_count":4,"complexity_ratio":13.5,"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":5946,"base":11}}}}},"used_operators":["uBihLCJcMX","SUjycxNXIR","aSik1wnThz","eH2TOUuTDT"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻241","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5946","layer":4},{"info":"compute unary expreesion, input=5946, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11892","layer":3},{"info":"compute unary expreesion, input=11892, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-12415","layer":2},{"info":"compute unary expreesion, input=-12415, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute unary expreesion, input=-1884, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":0}],"base":11,"result_base":11,"text":"(⨦⪝(⨩∲⋌(⋰*⋻4516⪐)))⇔⨋=⋰*⋻241","reverse_text":"⋰*⋻241=(⨦⪝(⨩∲⋌(⋰*⋻4516⪐)))⇔⨋","cot":[{"info":"⋰*⋻4516⪐=⋰*⋻8A31","layer":3},{"info":"⨩∲⋌⋰*⋻8A31=⋰*⋻-9367","layer":2},{"info":"⨦⪝⋰*⋻-9367=⋰*⋻-1463","layer":1},{"info":"⋰*⋻-1463⇔⨋=⋰*⋻241","layer":0}]}
{"id":624,"expression_no_base_symbol":"$5311$⪭$4506$⊭↱$1216$⪒⊣⊆$5507$↱(($8333$⪡$2967$)⨲)⊾⪯⋞(≱⇩⩕$4218$⋾⨃∁$5740$)↤⩊(⊬↢(⨭⩧⫛$4086$))","expression":"⋰*⋻3A99⪭⋰*⋻3427⊭↱⋰*⋻A06⪒⊣⊆⋰*⋻4157↱((⋰*⋻6296⪡⋰*⋻2258)⨲)⊾⪯⋞(≱⇩⩕⋰*⋻3195⋾⨃∁⋰*⋻4349)↤⩊(⊬↢(⨭⩧⫛⋰*⋻3085))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19913,"operation_count":12,"complexity_ratio":1659.4166666666667,"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":5311,"base":11},"right_expr":{"type":"numeric_atoms","value":4506,"base":11}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1216,"base":11},"right_expr":{"type":"numeric_atoms","value":5507,"base":11}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":8333,"base":11},"right_expr":{"type":"numeric_atoms","value":2967,"base":11}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4218,"base":11},"right_expr":{"type":"numeric_atoms","value":5740,"base":11}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":4086,"base":11}}}}},"used_operators":["HK0tfVPux8","SR5kFfdi6N","COABgblf1C","j9kHMeSvPp","eRqsBgTDFp","nLYMGWM7L8","oraRL2iQuh","13rbtpv6ld","3DZMoQKiUl","212REbPD9h","WPoGxAaPR1","g21JL6JxX7"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","sdazOOVcIp","W4YGzv6Whe","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5311","layer":4},{"info":"number node, value=4506","layer":4},{"info":"compute binary expreesion, left_input=5311, right_input=4506, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=5507","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=5507, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2432","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=2432, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4859","layer":2},{"info":"number node, value=8333","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=8333, right_input=2967, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=14531533","layer":2},{"info":"compute binary expreesion, left_input=4859, right_input=14531533, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-43594077","layer":1},{"info":"number node, value=4218","layer":4},{"info":"number node, value=5740","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=5740, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=329407026","layer":3},{"info":"compute unary expreesion, input=329407026, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"number node, value=4086","layer":4},{"info":"compute unary expreesion, input=4086, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-43594077, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻3A99⪭⋰*⋻3427⊭↱⋰*⋻A06⪒⊣⊆⋰*⋻4157↱((⋰*⋻6296⪡⋰*⋻2258)⨲)⊾⪯⋞(≱⇩⩕⋰*⋻3195⋾⨃∁⋰*⋻4349)↤⩊(⊬↢(⨭⩧⫛⋰*⋻3085))=NaN","reverse_text":"NaN=⋰*⋻3A99⪭⋰*⋻3427⊭↱⋰*⋻A06⪒⊣⊆⋰*⋻4157↱((⋰*⋻6296⪡⋰*⋻2258)⨲)⊾⪯⋞(≱⇩⩕⋰*⋻3195⋾⨃∁⋰*⋻4349)↤⩊(⊬↢(⨭⩧⫛⋰*⋻3085))","cot":[{"info":"⋰*⋻3A99⪭⋰*⋻3427=⋰*⋻5","layer":3},{"info":"⋰*⋻A06⪒⊣⊆⋰*⋻4157=⋰*⋻1911","layer":3},{"info":"⋰*⋻5⊭↱⋰*⋻1911=⋰*⋻3718","layer":2},{"info":"⋰*⋻6296⪡⋰*⋻2258=⋰*⋻98","layer":3},{"info":"⋰*⋻98⨲=⋰*⋻8225835","layer":2},{"info":"⋰*⋻3718↱⋰*⋻8225835=⋰*⋻-2267596A","layer":1},{"info":"⋰*⋻3195⋾⨃∁⋰*⋻4349=⋰*⋻159A3A413","layer":3},{"info":"≱⇩⩕⋰*⋻159A3A413=⋰*⋻A3","layer":2},{"info":"⨭⩧⫛⋰*⋻3085=NaN","layer":3},{"info":"⊬↢NaN=NaN","layer":2},{"info":"⋰*⋻A3↤⩊NaN=NaN","layer":1},{"info":"⋰*⋻-2267596A⊾⪯⋞NaN=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"((⊖$2453$⪕$1363$)⨸⪁($1487$⫌⩉⩟$5233$)∇⊂⋱($4542$↠))⫉⨲⊜(($3023$⋣⋖$1541$⪛⫼$4307$⪨⊡$2171$)⪮%⊝(($1825$⋷$1273$)≥⨤⩑$3620$≠≀$3767$))","expression":"((⊖⋰*⋻1930⪕⋰*⋻102A)⨸⪁(⋰*⋻1132⫌⩉⩟⋰*⋻3A28)∇⊂⋱(⋰*⋻345A↠))⫉⨲⊜((⋰*⋻22A9⋣⋖⋰*⋻1181⪛⫼⋰*⋻3266⪨⊡⋰*⋻16A4)⪮%⊝((⋰*⋻140A⋷⋰*⋻A58)≥⨤⩑⋰*⋻27A1≠≀⋰*⋻2915))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":129770,"operation_count":14,"complexity_ratio":9269.285714285714,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2453,"base":11},"right_expr":{"type":"numeric_atoms","value":1363,"base":11}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1487,"base":11},"right_expr":{"type":"numeric_atoms","value":5233,"base":11}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":4542,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3023,"base":11},"right_expr":{"type":"numeric_atoms","value":1541,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4307,"base":11},"right_expr":{"type":"numeric_atoms","value":2171,"base":11}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1825,"base":11},"right_expr":{"type":"numeric_atoms","value":1273,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3620,"base":11},"right_expr":{"type":"numeric_atoms","value":3767,"base":11}}}}},"used_operators":["WhqkvtTD3t","g55IO6H4Gj","U6pG0PXrV3","umQnsF7QlU","nhYeJWJD5X","XIIwhv8d0m","LBdsKIvxzf","IWmyXbctLI","hyuBjUqXlG","J0M6qkBnIM","kuIXHzHcAH","gJLn6v0xnP","23Mk6UjR3U","IwW236VD4Y"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2453","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=1363, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4444","layer":3},{"info":"compute unary expreesion, input=4444, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"number node, value=1487","layer":4},{"info":"number node, value=5233","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=5233, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=4542","layer":4},{"info":"compute unary expreesion, input=4542, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-447, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=894","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=894, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1788","layer":1},{"info":"number node, value=3023","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=1541, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3023","layer":3},{"info":"number node, value=4307","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=4307, right_input=2171, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3023, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=1825","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=1273, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=721","layer":3},{"info":"number node, value=3620","layer":4},{"info":"number node, value=3767","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=3767, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6934","layer":3},{"info":"compute binary expreesion, left_input=721, right_input=-6934, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1442","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=1442, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2252","layer":1},{"info":"compute binary expreesion, left_input=1788, right_input=2252, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⊖⋰*⋻1930⪕⋰*⋻102A)⨸⪁(⋰*⋻1132⫌⩉⩟⋰*⋻3A28)∇⊂⋱(⋰*⋻345A↠))⫉⨲⊜((⋰*⋻22A9⋣⋖⋰*⋻1181⪛⫼⋰*⋻3266⪨⊡⋰*⋻16A4)⪮%⊝((⋰*⋻140A⋷⋰*⋻A58)≥⨤⩑⋰*⋻27A1≠≀⋰*⋻2915))=⋰*⋻0","reverse_text":"⋰*⋻0=((⊖⋰*⋻1930⪕⋰*⋻102A)⨸⪁(⋰*⋻1132⫌⩉⩟⋰*⋻3A28)∇⊂⋱(⋰*⋻345A↠))⫉⨲⊜((⋰*⋻22A9⋣⋖⋰*⋻1181⪛⫼⋰*⋻3266⪨⊡⋰*⋻16A4)⪮%⊝((⋰*⋻140A⋷⋰*⋻A58)≥⨤⩑⋰*⋻27A1≠≀⋰*⋻2915))","cot":[{"info":"⋰*⋻1930⪕⋰*⋻102A=⋰*⋻3380","layer":3},{"info":"⊖⋰*⋻3380=⋰*⋻0","layer":2},{"info":"⋰*⋻1132⫌⩉⩟⋰*⋻3A28=⋰*⋻-46","layer":3},{"info":"⋰*⋻345A↠=⋰*⋻-377","layer":3},{"info":"⋰*⋻-46∇⊂⋱⋰*⋻-377=⋰*⋻743","layer":2},{"info":"⋰*⋻0⨸⪁⋰*⋻743=⋰*⋻1386","layer":1},{"info":"⋰*⋻22A9⋣⋖⋰*⋻1181=⋰*⋻22A9","layer":3},{"info":"⋰*⋻3266⪨⊡⋰*⋻16A4=⋰*⋻0","layer":3},{"info":"⋰*⋻22A9⪛⫼⋰*⋻0=⋰*⋻800","layer":2},{"info":"⋰*⋻140A⋷⋰*⋻A58=⋰*⋻5A6","layer":3},{"info":"⋰*⋻27A1≠≀⋰*⋻2915=⋰*⋻-5234","layer":3},{"info":"⋰*⋻5A6≥⨤⩑⋰*⋻-5234=⋰*⋻10A1","layer":2},{"info":"⋰*⋻800⪮%⊝⋰*⋻10A1=⋰*⋻1768","layer":1},{"info":"⋰*⋻1386⫉⨲⊜⋰*⋻1768=⋰*⋻0","layer":0}]}
{"id":626,"expression_no_base_symbol":"(($2018$⩘)∛≔)⨂≜($1026$⪃⊛⇣$5149$⪟⇏($1111$⪚⩙≫))↓(⇠($2104$⊠≄⫣))↢($1309$∝$1159$∖$3107$≹⇙⪍$8512$)","expression":"((⋰*⋻1575⩘)∛≔)⨂≜(⋰*⋻853⪃⊛⇣⋰*⋻3961⪟⇏(⋰*⋻920⪚⩙≫))↓(⇠(⋰*⋻1643⊠≄⫣))↢(⋰*⋻A90∝⋰*⋻964∖⋰*⋻2375≹⇙⪍⋰*⋻6439)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":618925,"operation_count":13,"complexity_ratio":47609.61538461538,"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":2018,"base":11}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1026,"base":11},"right_expr":{"type":"numeric_atoms","value":5149,"base":11}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":1111,"base":11}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2104,"base":11}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1309,"base":11},"right_expr":{"type":"numeric_atoms","value":1159,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3107,"base":11},"right_expr":{"type":"numeric_atoms","value":8512,"base":11}}}}},"used_operators":["Af076pWI7l","k1SHOSEABc","mGnSCrte3L","wvHyciQT5X","GODebY97qR","rrgAzCduG9","4n53wtyJvv","WR6HLWljOP","18saOjeKKm","DIvbN7qnHd","tXD093vOjl","cTDWOvIxvz","AHs5Up7iyr"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","9ICcGScMcE","dfKe02y8D2","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","dWAJyo7jo9"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2018","layer":4},{"info":"compute unary expreesion, input=2018, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=5149","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=5149, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-305287, right_input=-1, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=2104","layer":4},{"info":"compute unary expreesion, input=2104, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=242","layer":2},{"info":"number node, value=1309","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=1159, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1314","layer":3},{"info":"number node, value=3107","layer":4},{"info":"number node, value=8512","layer":4},{"info":"compute binary expreesion, left_input=3107, right_input=8512, 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=1314, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=242, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-484, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1575⩘)∛≔)⨂≜(⋰*⋻853⪃⊛⇣⋰*⋻3961⪟⇏(⋰*⋻920⪚⩙≫))↓(⇠(⋰*⋻1643⊠≄⫣))↢(⋰*⋻A90∝⋰*⋻964∖⋰*⋻2375≹⇙⪍⋰*⋻6439)=⋰*⋻-112","reverse_text":"⋰*⋻-112=((⋰*⋻1575⩘)∛≔)⨂≜(⋰*⋻853⪃⊛⇣⋰*⋻3961⪟⇏(⋰*⋻920⪚⩙≫))↓(⇠(⋰*⋻1643⊠≄⫣))↢(⋰*⋻A90∝⋰*⋻964∖⋰*⋻2375≹⇙⪍⋰*⋻6439)","cot":[{"info":"⋰*⋻1575⩘=⋰*⋻61","layer":3},{"info":"⋰*⋻61∛≔=⋰*⋻-199404","layer":2},{"info":"⋰*⋻853⪃⊛⇣⋰*⋻3961=⋰*⋻A22","layer":3},{"info":"⋰*⋻920⪚⩙≫=NaN","layer":3},{"info":"⋰*⋻A22⪟⇏NaN=⋰*⋻-1","layer":2},{"info":"⋰*⋻-199404⨂≜⋰*⋻-1=NaN","layer":1},{"info":"⋰*⋻1643⊠≄⫣=⋰*⋻0","layer":3},{"info":"⇠⋰*⋻0=⋰*⋻200","layer":2},{"info":"⋰*⋻A90∝⋰*⋻964=⋰*⋻A95","layer":3},{"info":"⋰*⋻2375≹⇙⪍⋰*⋻6439=NaN","layer":3},{"info":"⋰*⋻A95∖NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻200↢⋰*⋻0=⋰*⋻-400","layer":1},{"info":"NaN↓⋰*⋻-400=⋰*⋻-112","layer":0}]}
{"id":627,"expression_no_base_symbol":"((⇈$1176$)∺≝⩲($1649$⩁)⪇≇⋚($1189$⪍↜⋙$3180$)⫘(⪸$2944$))≀⫉(($1301$∊∟⩊$3649$⋫)⪔($1204$⪇≇⋚$3784$)⪥(⋂$2805$))","expression":"((⇈⋰*⋻97A)∺≝⩲(⋰*⋻126A⩁)⪇≇⋚(⋰*⋻991⪍↜⋙⋰*⋻2431)⫘(⪸⋰*⋻2237))≀⫉((⋰*⋻A83∊∟⩊⋰*⋻2818⋫)⪔(⋰*⋻9A5⪇≇⋚⋰*⋻2930)⪥(⋂⋰*⋻2120))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20130,"operation_count":14,"complexity_ratio":1437.857142857143,"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":1176,"base":11}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":1649,"base":11}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1189,"base":11},"right_expr":{"type":"numeric_atoms","value":3180,"base":11}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2944,"base":11}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1301,"base":11},"right_expr":{"type":"numeric_atoms","value":3649,"base":11}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1204,"base":11},"right_expr":{"type":"numeric_atoms","value":3784,"base":11}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2805,"base":11}}}}},"used_operators":["oZj3VtZNQx","3sJ7IOPOlU","KPf6cnQVty","SLLxy00UIr","5GqDbVmqXU","48vC8HMD2b","L05ObWFQCd","86A5ENbKR9","GjBEYRfMaF","JL8yIekQnl","ddLRYrp01A","QbnwKVWMIQ","BUOGQAYlQx"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","tmPS8pqC7x","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⋰*⋻158","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-10412","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-10412, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1189","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=3180, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-13088","layer":3},{"info":"number node, value=2944","layer":4},{"info":"compute unary expreesion, input=2944, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-49839","layer":3},{"info":"compute binary expreesion, left_input=-13088, right_input=-49839, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=57707819","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=57707819, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1301","layer":4},{"info":"number node, value=3649","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=3649, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3649","layer":3},{"info":"compute unary expreesion, input=3649, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3649","layer":2},{"info":"number node, value=1204","layer":4},{"info":"number node, value=3784","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=3784, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2805","layer":4},{"info":"compute unary expreesion, input=2805, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-38674","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-38674, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=3649, right_input=-1798, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=450, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=184","layer":0}],"base":11,"result_base":11,"text":"((⇈⋰*⋻97A)∺≝⩲(⋰*⋻126A⩁)⪇≇⋚(⋰*⋻991⪍↜⋙⋰*⋻2431)⫘(⪸⋰*⋻2237))≀⫉((⋰*⋻A83∊∟⩊⋰*⋻2818⋫)⪔(⋰*⋻9A5⪇≇⋚⋰*⋻2930)⪥(⋂⋰*⋻2120))=⋰*⋻158","reverse_text":"⋰*⋻158=((⇈⋰*⋻97A)∺≝⩲(⋰*⋻126A⩁)⪇≇⋚(⋰*⋻991⪍↜⋙⋰*⋻2431)⫘(⪸⋰*⋻2237))≀⫉((⋰*⋻A83∊∟⩊⋰*⋻2818⋫)⪔(⋰*⋻9A5⪇≇⋚⋰*⋻2930)⪥(⋂⋰*⋻2120))","cot":[{"info":"⇈⋰*⋻97A=⋰*⋻-377","layer":3},{"info":"⋰*⋻126A⩁=⋰*⋻-7906","layer":3},{"info":"⋰*⋻-377∺≝⩲⋰*⋻-7906=⋰*⋻136","layer":2},{"info":"⋰*⋻991⪍↜⋙⋰*⋻2431=⋰*⋻-9919","layer":3},{"info":"⪸⋰*⋻2237=⋰*⋻-34499","layer":3},{"info":"⋰*⋻-9919⫘⋰*⋻-34499=⋰*⋻2A635814","layer":2},{"info":"⋰*⋻136⪇≇⋚⋰*⋻2A635814=⋰*⋻0","layer":1},{"info":"⋰*⋻A83∊∟⩊⋰*⋻2818=⋰*⋻2818","layer":3},{"info":"⋰*⋻2818⋫=⋰*⋻2818","layer":2},{"info":"⋰*⋻9A5⪇≇⋚⋰*⋻2930=⋰*⋻0","layer":3},{"info":"⋂⋰*⋻2120=⋰*⋻-27069","layer":3},{"info":"⋰*⋻0⪥⋰*⋻-27069=⋰*⋻-1395","layer":2},{"info":"⋰*⋻2818⪔⋰*⋻-1395=⋰*⋻37A","layer":1},{"info":"⋰*⋻0≀⫉⋰*⋻37A=⋰*⋻158","layer":0}]}
{"id":628,"expression_no_base_symbol":"(≛($1160$↹⊜$2297$)⫗⊷⫓($8565$∲⫓$1201$))↤⩊(⇈(($2375$⩭)≬⇓$4913$⪡$3714$))","expression":"(≛(⋰*⋻965↹⊜⋰*⋻17A9)⫗⊷⫓(⋰*⋻6487∲⫓⋰*⋻9A2))↤⩊(⇈((⋰*⋻186A⩭)≬⇓⋰*⋻3767⪡⋰*⋻2877))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":115476,"operation_count":9,"complexity_ratio":12830.666666666666,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1160,"base":11},"right_expr":{"type":"numeric_atoms","value":2297,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8565,"base":11},"right_expr":{"type":"numeric_atoms","value":1201,"base":11}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2375,"base":11}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4913,"base":11},"right_expr":{"type":"numeric_atoms","value":3714,"base":11}}}}},"used_operators":["13rbtpv6ld","W7eaUhjymW","zashukvMKz","9bazX3JMtO","i8ToyICDmI","SLLxy00UIr","jWTQ2TZYIH","yIPP7u6H5x","oraRL2iQuh"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1160","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=2297, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6964","layer":3},{"info":"number node, value=8565","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=8565, right_input=1201, 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=-6964, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-505","layer":1},{"info":"number node, value=2375","layer":4},{"info":"compute unary expreesion, input=2375, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=4913","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=4913, right_input=3714, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=-505, right_input=-447, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≛(⋰*⋻965↹⊜⋰*⋻17A9)⫗⊷⫓(⋰*⋻6487∲⫓⋰*⋻9A2))↤⩊(⇈((⋰*⋻186A⩭)≬⇓⋰*⋻3767⪡⋰*⋻2877))=NaN","reverse_text":"NaN=(≛(⋰*⋻965↹⊜⋰*⋻17A9)⫗⊷⫓(⋰*⋻6487∲⫓⋰*⋻9A2))↤⩊(⇈((⋰*⋻186A⩭)≬⇓⋰*⋻3767⪡⋰*⋻2877))","cot":[{"info":"⋰*⋻965↹⊜⋰*⋻17A9=⋰*⋻-5261","layer":3},{"info":"⋰*⋻6487∲⫓⋰*⋻9A2=⋰*⋻0","layer":3},{"info":"⋰*⋻-5261⫗⊷⫓⋰*⋻0=⋰*⋻-112","layer":2},{"info":"≛⋰*⋻-112=⋰*⋻-41A","layer":1},{"info":"⋰*⋻186A⩭=NaN","layer":3},{"info":"⋰*⋻3767⪡⋰*⋻2877=⋰*⋻98","layer":3},{"info":"NaN≬⇓⋰*⋻98=⋰*⋻-20","layer":2},{"info":"⇈⋰*⋻-20=⋰*⋻-377","layer":1},{"info":"⋰*⋻-41A↤⩊⋰*⋻-377=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"($3627$↹⊜$4001$∸)⨽(⊤⊝$4989$⊝⪿⪼$2117$)⋻⩜⩜(($7024$⩨$4205$)⪭≯($1625$∷))∺≝⩲(($2895$⇀∌)⇍⊗$1933$⪒⊣⊆$1294$)","expression":"(⋰*⋻27A8↹⊜⋰*⋻3008∸)⨽(⊤⊝⋰*⋻3826⊝⪿⪼⋰*⋻1655)⋻⩜⩜((⋰*⋻5306⩨⋰*⋻3183)⪭≯(⋰*⋻1248∷))∺≝⩲((⋰*⋻21A2⇀∌)⇍⊗⋰*⋻14A8⪒⊣⊆⋰*⋻A77)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3013,"operation_count":13,"complexity_ratio":231.76923076923077,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3627,"base":11},"right_expr":{"type":"numeric_atoms","value":4001,"base":11}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4989,"base":11},"right_expr":{"type":"numeric_atoms","value":2117,"base":11}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7024,"base":11},"right_expr":{"type":"numeric_atoms","value":4205,"base":11}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1625,"base":11}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":2895,"base":11}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1933,"base":11},"right_expr":{"type":"numeric_atoms","value":1294,"base":11}}}}},"used_operators":["oDCm7WA9JY","8HhzD0ZcuI","o20kRiQErp","9bazX3JMtO","rXAclfmB4M","3Oe9XWJUTD","KPf6cnQVty","XAx5wpdLa6","2DlMacCsIx","nFAOW8KTqp","5uvYHDjeKN","2k53nXOpI5","eRqsBgTDFp"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sdazOOVcIp","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3627","layer":4},{"info":"number node, value=4001","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=4001, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-8846","layer":3},{"info":"compute unary expreesion, input=-8846, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=4989","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=2117, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=70467","layer":3},{"info":"compute unary expreesion, input=70467, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=139636","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=139636, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-511581","layer":1},{"info":"number node, value=7024","layer":4},{"info":"number node, value=4205","layer":4},{"info":"compute binary expreesion, left_input=7024, right_input=4205, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1625","layer":4},{"info":"compute unary expreesion, input=1625, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=4875","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4875, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2895","layer":4},{"info":"compute unary expreesion, input=2895, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"number node, value=1933","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=1294, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3866","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=3866, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-511581, right_input=160, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻27A8↹⊜⋰*⋻3008∸)⨽(⊤⊝⋰*⋻3826⊝⪿⪼⋰*⋻1655)⋻⩜⩜((⋰*⋻5306⩨⋰*⋻3183)⪭≯(⋰*⋻1248∷))∺≝⩲((⋰*⋻21A2⇀∌)⇍⊗⋰*⋻14A8⪒⊣⊆⋰*⋻A77)=NaN","reverse_text":"NaN=(⋰*⋻27A8↹⊜⋰*⋻3008∸)⨽(⊤⊝⋰*⋻3826⊝⪿⪼⋰*⋻1655)⋻⩜⩜((⋰*⋻5306⩨⋰*⋻3183)⪭≯(⋰*⋻1248∷))∺≝⩲((⋰*⋻21A2⇀∌)⇍⊗⋰*⋻14A8⪒⊣⊆⋰*⋻A77)","cot":[{"info":"⋰*⋻27A8↹⊜⋰*⋻3008=⋰*⋻-6712","layer":3},{"info":"⋰*⋻-6712∸=⋰*⋻151","layer":2},{"info":"⋰*⋻3826⊝⪿⪼⋰*⋻1655=⋰*⋻48A41","layer":3},{"info":"⊤⊝⋰*⋻48A41=⋰*⋻95A02","layer":2},{"info":"⋰*⋻151⨽⋰*⋻95A02=⋰*⋻-31A3A4","layer":1},{"info":"⋰*⋻5306⩨⋰*⋻3183=⋰*⋻0","layer":3},{"info":"⋰*⋻1248∷=⋰*⋻3732","layer":3},{"info":"⋰*⋻0⪭≯⋰*⋻3732=NaN","layer":2},{"info":"⋰*⋻21A2⇀∌=⋰*⋻A3","layer":3},{"info":"⋰*⋻14A8⪒⊣⊆⋰*⋻A77=⋰*⋻29A5","layer":3},{"info":"⋰*⋻A3⇍⊗⋰*⋻29A5=⋰*⋻-202","layer":2},{"info":"NaN∺≝⩲⋰*⋻-202=⋰*⋻136","layer":1},{"info":"⋰*⋻-31A3A4⋻⩜⩜⋰*⋻136=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"((⊤⊝$1003$)↯⫤)⪉⨛(∮$7570$)⊔(∓⪦$1026$)∲⫓(($1189$⩷∴$8706$)⊱⇼⊻($2856$-$1762$)/(⊗$4792$)≃$1047$⨿$4301$)","expression":"((⊤⊝⋰*⋻832)↯⫤)⪉⨛(∮⋰*⋻5762)⊔(∓⪦⋰*⋻853)∲⫓((⋰*⋻991⩷∴⋰*⋻65A5)⊱⇼⊻(⋰*⋻2167-⋰*⋻1362)/(⊗⋰*⋻3667)≃⋰*⋻872⨿⋰*⋻3260)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":723,"operation_count":14,"complexity_ratio":51.642857142857146,"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":1003,"base":11}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":7570,"base":11}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1026,"base":11}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1189,"base":11},"right_expr":{"type":"numeric_atoms","value":8706,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2856,"base":11},"right_expr":{"type":"numeric_atoms","value":1762,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4792,"base":11}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1047,"base":11},"right_expr":{"type":"numeric_atoms","value":4301,"base":11}}}}},"used_operators":["i8ToyICDmI","EWw2JM7wp4","VwlE7vj6HS","rXAclfmB4M","E4l6HwMY31","CqXKPLVYql","D309nIvmXG","XhwjNDsVaA","FyVja0WsTP","9FxExcQeMw","rysDP5nf3Z","YbVcJGFEVW","RhiyfpczSx","abYXlopdE0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⋰*⋻-1772","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=708","layer":3},{"info":"compute unary expreesion, input=708, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"number node, value=7570","layer":4},{"info":"compute unary expreesion, input=7570, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1026","layer":4},{"info":"compute unary expreesion, input=1026, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=618","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=618, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=824","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=824, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-2257","layer":1},{"info":"number node, value=1189","layer":4},{"info":"number node, value=8706","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=8706, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-15066","layer":3},{"info":"number node, value=2856","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=1762, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1094","layer":3},{"info":"compute binary expreesion, left_input=-15066, right_input=1094, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=60468","layer":2},{"info":"number node, value=4792","layer":4},{"info":"compute unary expreesion, input=4792, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-9584","layer":3},{"info":"number node, value=1047","layer":4},{"info":"number node, value=4301","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=4301, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-9584, right_input=-319, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=1236","layer":2},{"info":"compute binary expreesion, left_input=60468, right_input=1236, op_id = XhwjNDsVaA binary_op_definition= 'None', output=48","layer":1},{"info":"compute binary expreesion, left_input=-2257, right_input=48, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-2257","layer":0}],"base":11,"result_base":11,"text":"((⊤⊝⋰*⋻832)↯⫤)⪉⨛(∮⋰*⋻5762)⊔(∓⪦⋰*⋻853)∲⫓((⋰*⋻991⩷∴⋰*⋻65A5)⊱⇼⊻(⋰*⋻2167-⋰*⋻1362)/(⊗⋰*⋻3667)≃⋰*⋻872⨿⋰*⋻3260)=⋰*⋻-1772","reverse_text":"⋰*⋻-1772=((⊤⊝⋰*⋻832)↯⫤)⪉⨛(∮⋰*⋻5762)⊔(∓⪦⋰*⋻853)∲⫓((⋰*⋻991⩷∴⋰*⋻65A5)⊱⇼⊻(⋰*⋻2167-⋰*⋻1362)/(⊗⋰*⋻3667)≃⋰*⋻872⨿⋰*⋻3260)","cot":[{"info":"⊤⊝⋰*⋻832=⋰*⋻594","layer":3},{"info":"⋰*⋻594↯⫤=⋰*⋻0","layer":2},{"info":"∮⋰*⋻5762=⋰*⋻61","layer":3},{"info":"∓⪦⋰*⋻853=⋰*⋻512","layer":3},{"info":"⋰*⋻61⊔⋰*⋻512=⋰*⋻68A","layer":2},{"info":"⋰*⋻0⪉⨛⋰*⋻68A=⋰*⋻-1772","layer":1},{"info":"⋰*⋻991⩷∴⋰*⋻65A5=⋰*⋻-10357","layer":3},{"info":"⋰*⋻2167-⋰*⋻1362=⋰*⋻905","layer":3},{"info":"⋰*⋻-10357⊱⇼⊻⋰*⋻905=⋰*⋻41481","layer":2},{"info":"⊗⋰*⋻3667=⋰*⋻-7223","layer":3},{"info":"⋰*⋻872⨿⋰*⋻3260=⋰*⋻-270","layer":3},{"info":"⋰*⋻-7223≃⋰*⋻-270=⋰*⋻A24","layer":2},{"info":"⋰*⋻41481/⋰*⋻A24=⋰*⋻44","layer":1},{"info":"⋰*⋻-1772∲⫓⋰*⋻44=⋰*⋻-1772","layer":0}]}
{"id":631,"expression_no_base_symbol":"(($1835$≳⇉$3909$)⨚⇆($1755$⪚⩙≫))⪪((∨∊⋏$6356$)⇆⨓≜)⪄(($3889$⨚$6512$)↢($2397$⫸⊐$1912$)⩏)","expression":"((⋰*⋻1419≳⇉⋰*⋻2A34)⨚⇆(⋰*⋻1356⪚⩙≫))⪪((∨∊⋏⋰*⋻4859)⇆⨓≜)⪄((⋰*⋻2A16⨚⋰*⋻4990)↢(⋰*⋻188A⫸⊐⋰*⋻1489)⩏)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":237403648,"operation_count":11,"complexity_ratio":21582149.818181816,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1835,"base":11},"right_expr":{"type":"numeric_atoms","value":3909,"base":11}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":1755,"base":11}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":6356,"base":11}}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3889,"base":11},"right_expr":{"type":"numeric_atoms","value":6512,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2397,"base":11},"right_expr":{"type":"numeric_atoms","value":1912,"base":11}}}}},"used_operators":["SUmda5xLS4","xD69zh8xqp","lwHaAYXP2r","V0kx6qeWkN","4n53wtyJvv","KvvgdUaMHJ","R5aXW34M0v","iA2gmKZ3Wj","WR6HLWljOP","nREPSIbpBE","mqXw5SEYmG"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","Uaa54Peajs","KYD54nUTWz","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","z6LnFrNh4i","Tcnh7f0tEr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1835","layer":4},{"info":"number node, value=3909","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=3909, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1755","layer":4},{"info":"compute unary expreesion, input=1755, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=6356","layer":4},{"info":"compute unary expreesion, input=6356, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=139343","layer":3},{"info":"compute unary expreesion, input=139343, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"number node, value=3889","layer":4},{"info":"number node, value=6512","layer":4},{"info":"compute binary expreesion, left_input=3889, right_input=6512, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-17336","layer":3},{"info":"number node, value=2397","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=1912, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7523","layer":3},{"info":"compute binary expreesion, left_input=-17336, right_input=7523, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-19626","layer":2},{"info":"compute unary expreesion, input=-19626, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', 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":11,"result_base":11,"text":"((⋰*⋻1419≳⇉⋰*⋻2A34)⨚⇆(⋰*⋻1356⪚⩙≫))⪪((∨∊⋏⋰*⋻4859)⇆⨓≜)⪄((⋰*⋻2A16⨚⋰*⋻4990)↢(⋰*⋻188A⫸⊐⋰*⋻1489)⩏)=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=((⋰*⋻1419≳⇉⋰*⋻2A34)⨚⇆(⋰*⋻1356⪚⩙≫))⪪((∨∊⋏⋰*⋻4859)⇆⨓≜)⪄((⋰*⋻2A16⨚⋰*⋻4990)↢(⋰*⋻188A⫸⊐⋰*⋻1489)⩏)","cot":[{"info":"⋰*⋻1419≳⇉⋰*⋻2A34=NaN","layer":3},{"info":"⋰*⋻1356⪚⩙≫=NaN","layer":3},{"info":"NaN⨚⇆NaN=NaN","layer":2},{"info":"∨∊⋏⋰*⋻4859=⋰*⋻95766","layer":3},{"info":"⋰*⋻95766⇆⨓≜=NaN","layer":2},{"info":"NaN⪪NaN=NaN","layer":1},{"info":"⋰*⋻2A16⨚⋰*⋻4990=⋰*⋻-12030","layer":3},{"info":"⋰*⋻188A⫸⊐⋰*⋻1489=⋰*⋻571A","layer":3},{"info":"⋰*⋻-12030↢⋰*⋻571A=⋰*⋻-13822","layer":2},{"info":"⋰*⋻-13822⩏=⋰*⋻0","layer":1},{"info":"NaN⪄⋰*⋻0=⋰*⋻2A98","layer":0}]}
{"id":632,"expression_no_base_symbol":"($3218$⪎↠$2892$⊨($1769$∝$2574$)∙⊟($2402$⪭≯$1087$)∛($5621$⪕$2244$))⪚($9283$∥⊢⊲$7984$⪭(⊬↢$2278$)⫃⨇(↩⪖$1029$⨼⩣$5644$))","expression":"(⋰*⋻2466⪎↠⋰*⋻219A⊨(⋰*⋻1369∝⋰*⋻1A30)∙⊟(⋰*⋻1894⪭≯⋰*⋻8A9)∛(⋰*⋻4250⪕⋰*⋻1760))⪚(⋰*⋻6A7A∥⊢⊲⋰*⋻5AA9⪭(⊬↢⋰*⋻1791)⫃⨇(↩⪖⋰*⋻856⨼⩣⋰*⋻4271))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3322,"operation_count":14,"complexity_ratio":237.28571428571428,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3218,"base":11},"right_expr":{"type":"numeric_atoms","value":2892,"base":11}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1769,"base":11},"right_expr":{"type":"numeric_atoms","value":2574,"base":11}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2402,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":5621,"base":11},"right_expr":{"type":"numeric_atoms","value":2244,"base":11}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":9283,"base":11},"right_expr":{"type":"numeric_atoms","value":7984,"base":11}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2278,"base":11}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1029,"base":11},"right_expr":{"type":"numeric_atoms","value":5644,"base":11}}}}},"used_operators":["HrjLwUk87U","SxTAKzQCrw","vg4gO5BX6G","3tVxb0NHM4","cTDWOvIxvz","w2537kitQq","XAx5wpdLa6","umQnsF7QlU","09Ly4LVMIf","j9kHMeSvPp","v1UQAVDJRr","WPoGxAaPR1","fG6uBQFnGz","JxwMv5le6e"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","COABgblf1C","xUOZtlo3hN","EBcxylXtPf","rGHVDoGpnC","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3218","layer":4},{"info":"number node, value=2892","layer":4},{"info":"compute binary expreesion, left_input=3218, right_input=2892, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1769","layer":4},{"info":"number node, value=2574","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=2574, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1774","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1774, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=2402","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=1087, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=5621","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=5621, right_input=2244, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9899","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9899, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=18398","layer":1},{"info":"number node, value=9283","layer":4},{"info":"number node, value=7984","layer":4},{"info":"compute binary expreesion, left_input=9283, right_input=7984, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=2278","layer":4},{"info":"compute unary expreesion, input=2278, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=1029","layer":4},{"info":"number node, value=5644","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=5644, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18398, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2466⪎↠⋰*⋻219A⊨(⋰*⋻1369∝⋰*⋻1A30)∙⊟(⋰*⋻1894⪭≯⋰*⋻8A9)∛(⋰*⋻4250⪕⋰*⋻1760))⪚(⋰*⋻6A7A∥⊢⊲⋰*⋻5AA9⪭(⊬↢⋰*⋻1791)⫃⨇(↩⪖⋰*⋻856⨼⩣⋰*⋻4271))=NaN","reverse_text":"NaN=(⋰*⋻2466⪎↠⋰*⋻219A⊨(⋰*⋻1369∝⋰*⋻1A30)∙⊟(⋰*⋻1894⪭≯⋰*⋻8A9)∛(⋰*⋻4250⪕⋰*⋻1760))⪚(⋰*⋻6A7A∥⊢⊲⋰*⋻5AA9⪭(⊬↢⋰*⋻1791)⫃⨇(↩⪖⋰*⋻856⨼⩣⋰*⋻4271))","cot":[{"info":"⋰*⋻2466⪎↠⋰*⋻219A=⋰*⋻136","layer":3},{"info":"⋰*⋻1369∝⋰*⋻1A30=⋰*⋻1373","layer":3},{"info":"⋰*⋻136⊨⋰*⋻1373=⋰*⋻-149","layer":2},{"info":"⋰*⋻1894⪭≯⋰*⋻8A9=NaN","layer":3},{"info":"⋰*⋻4250⪕⋰*⋻1760=⋰*⋻748A","layer":3},{"info":"NaN∛⋰*⋻748A=NaN","layer":2},{"info":"⋰*⋻-149∙⊟NaN=⋰*⋻12906","layer":1},{"info":"⋰*⋻6A7A∥⊢⊲⋰*⋻5AA9=NaN","layer":3},{"info":"⊬↢⋰*⋻1791=⋰*⋻189","layer":3},{"info":"NaN⪭⋰*⋻189=⋰*⋻5","layer":2},{"info":"⋰*⋻856⨼⩣⋰*⋻4271=NaN","layer":3},{"info":"↩⪖NaN=NaN","layer":2},{"info":"⋰*⋻5⫃⨇NaN=NaN","layer":1},{"info":"⋰*⋻12906⪚NaN=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"(($3963$⊱⇼⊻$1104$)⊢($3533$≨$1705$)∀⇚≩((≅≯⇸$2583$)⪄($2803$⫚↹⊑$2353$)))≝⊰⇂","expression":"((⋰*⋻2A83⊱⇼⊻⋰*⋻914)⊢(⋰*⋻2722≨⋰*⋻1310)∀⇚≩((≅≯⇸⋰*⋻1A39)⪄(⋰*⋻2119⫚↹⊑⋰*⋻184A)))≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8922,"operation_count":8,"complexity_ratio":1115.25,"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":3963,"base":11},"right_expr":{"type":"numeric_atoms","value":1104,"base":11}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3533,"base":11},"right_expr":{"type":"numeric_atoms","value":1705,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2583,"base":11}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2803,"base":11},"right_expr":{"type":"numeric_atoms","value":2353,"base":11}}}}},"used_operators":["htSmYCowi5","LRNGc0VcxI","5twsqlHp2o","FyVja0WsTP","0KMCeP1Jsh","SUmda5xLS4","apS25hmuAe","dfKe02y8D2"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","EBcxylXtPf","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3963","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=3963, right_input=1104, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=3533","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=1705, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-32854","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-32854, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-1112","layer":2},{"info":"number node, value=2583","layer":4},{"info":"compute unary expreesion, input=2583, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=18009","layer":3},{"info":"number node, value=2803","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=2803, right_input=2353, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=18009, right_input=-447, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2659633","layer":2},{"info":"compute binary expreesion, left_input=-1112, right_input=-2659633, 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 = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2A83⊱⇼⊻⋰*⋻914)⊢(⋰*⋻2722≨⋰*⋻1310)∀⇚≩((≅≯⇸⋰*⋻1A39)⪄(⋰*⋻2119⫚↹⊑⋰*⋻184A)))≝⊰⇂=NaN","reverse_text":"NaN=((⋰*⋻2A83⊱⇼⊻⋰*⋻914)⊢(⋰*⋻2722≨⋰*⋻1310)∀⇚≩((≅≯⇸⋰*⋻1A39)⪄(⋰*⋻2119⫚↹⊑⋰*⋻184A)))≝⊰⇂","cot":[{"info":"⋰*⋻2A83⊱⇼⊻⋰*⋻914=⋰*⋻365","layer":3},{"info":"⋰*⋻2722≨⋰*⋻1310=⋰*⋻-22758","layer":3},{"info":"⋰*⋻365⊢⋰*⋻-22758=⋰*⋻-921","layer":2},{"info":"≅≯⇸⋰*⋻1A39=⋰*⋻12592","layer":3},{"info":"⋰*⋻2119⫚↹⊑⋰*⋻184A=⋰*⋻-377","layer":3},{"info":"⋰*⋻12592⪄⋰*⋻-377=⋰*⋻-1557249","layer":2},{"info":"⋰*⋻-921∀⇚≩⋰*⋻-1557249=NaN","layer":1},{"info":"NaN≝⊰⇂=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"(($5426$⊔$1148$⨑≵⋬$9279$∓⋝$2237$)⪘⨀)⪘⫢((⊑($1441$⊉≛↸$5367$))+(↥(⨞⊢$1282$)))","expression":"((⋰*⋻4093⊔⋰*⋻954⨑≵⋬⋰*⋻6A76∓⋝⋰*⋻1754)⪘⨀)⪘⫢((⊑(⋰*⋻10A0⊉≛↸⋰*⋻403A))+(↥(⨞⊢⋰*⋻A66)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":546,"operation_count":10,"complexity_ratio":54.6,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5426,"base":11},"right_expr":{"type":"numeric_atoms","value":1148,"base":11}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":9279,"base":11},"right_expr":{"type":"numeric_atoms","value":2237,"base":11}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1441,"base":11},"right_expr":{"type":"numeric_atoms","value":5367,"base":11}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1282,"base":11}}}}},"used_operators":["oacrs7FA3X","aA7tF3KVD3","XnXgA4xnOs","E4l6HwMY31","PoHhknlbAi","W4YGzv6Whe","IkUmn0D7oy","DZ8iAZOCBD","A8NUZmVepG","xUOZtlo3hN"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5426","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=5426, right_input=1148, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=14192","layer":3},{"info":"number node, value=9279","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=9279, right_input=2237, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=14192, right_input=67, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=71870","layer":2},{"info":"compute unary expreesion, input=71870, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-144321","layer":1},{"info":"number node, value=1441","layer":4},{"info":"number node, value=5367","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=5367, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2882","layer":3},{"info":"compute unary expreesion, input=2882, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=1282","layer":4},{"info":"compute unary expreesion, input=1282, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1456","layer":3},{"info":"compute unary expreesion, input=-1456, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=23, op_id = W4YGzv6Whe binary_op_definition= 'None', output=215","layer":1},{"info":"compute binary expreesion, left_input=-144321, right_input=215, 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":11,"result_base":11,"text":"((⋰*⋻4093⊔⋰*⋻954⨑≵⋬⋰*⋻6A76∓⋝⋰*⋻1754)⪘⨀)⪘⫢((⊑(⋰*⋻10A0⊉≛↸⋰*⋻403A))+(↥(⨞⊢⋰*⋻A66)))=⋰*⋻-1","reverse_text":"⋰*⋻-1=((⋰*⋻4093⊔⋰*⋻954⨑≵⋬⋰*⋻6A76∓⋝⋰*⋻1754)⪘⨀)⪘⫢((⊑(⋰*⋻10A0⊉≛↸⋰*⋻403A))+(↥(⨞⊢⋰*⋻A66)))","cot":[{"info":"⋰*⋻4093⊔⋰*⋻954=⋰*⋻A732","layer":3},{"info":"⋰*⋻6A76∓⋝⋰*⋻1754=⋰*⋻61","layer":3},{"info":"⋰*⋻A732⨑≵⋬⋰*⋻61=⋰*⋻49AA7","layer":2},{"info":"⋰*⋻49AA7⪘⨀=⋰*⋻-99481","layer":1},{"info":"⋰*⋻10A0⊉≛↸⋰*⋻403A=⋰*⋻2190","layer":3},{"info":"⊑⋰*⋻2190=⋰*⋻165","layer":2},{"info":"⨞⊢⋰*⋻A66=⋰*⋻-1104","layer":3},{"info":"↥⋰*⋻-1104=⋰*⋻21","layer":2},{"info":"⋰*⋻165+⋰*⋻21=⋰*⋻186","layer":1},{"info":"⋰*⋻-99481⪘⫢⋰*⋻186=⋰*⋻-1","layer":0}]}
{"id":635,"expression_no_base_symbol":"(($2356$⩚⊴⇥$2609$⨽$7650$∘$3823$)⩅⪻⪻)↹⊜((→⩰$1825$)⋥⋵⩄(⨵≀≌$5259$)≃(⫇$4165$)↤⩊($1124$≌$3814$))","expression":"((⋰*⋻1852⩚⊴⇥⋰*⋻1A62⨽⋰*⋻5825∘⋰*⋻2966)⩅⪻⪻)↹⊜((→⩰⋰*⋻140A)⋥⋵⩄(⨵≀≌⋰*⋻3A51)≃(⫇⋰*⋻3147)↤⩊(⋰*⋻932≌⋰*⋻2958))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":77658419,"operation_count":12,"complexity_ratio":6471534.916666667,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2356,"base":11},"right_expr":{"type":"numeric_atoms","value":2609,"base":11}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":7650,"base":11},"right_expr":{"type":"numeric_atoms","value":3823,"base":11}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1825,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5259,"base":11}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":4165,"base":11}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1124,"base":11},"right_expr":{"type":"numeric_atoms","value":3814,"base":11}}}}},"used_operators":["9bazX3JMtO","kHoXpA7yos","8HhzD0ZcuI","NTOWxs364D","Z5m6OM72h2","YbVcJGFEVW","7t3wd0Fuz7","o8Pngz0Tml","srAu1WTS94","13rbtpv6ld","YjI8oCXuph","lyWz822IDG"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2356","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=2609, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5086","layer":3},{"info":"number node, value=7650","layer":4},{"info":"number node, value=3823","layer":4},{"info":"compute binary expreesion, left_input=7650, right_input=3823, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=15300","layer":3},{"info":"compute binary expreesion, left_input=-5086, right_input=15300, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-77646774","layer":2},{"info":"compute unary expreesion, input=-77646774, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":1},{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=5259","layer":4},{"info":"compute unary expreesion, input=5259, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15777","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15777, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=4165","layer":4},{"info":"compute unary expreesion, input=4165, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-7116","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=3814, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7116, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1852⩚⊴⇥⋰*⋻1A62⨽⋰*⋻5825∘⋰*⋻2966)⩅⪻⪻)↹⊜((→⩰⋰*⋻140A)⋥⋵⩄(⨵≀≌⋰*⋻3A51)≃(⫇⋰*⋻3147)↤⩊(⋰*⋻932≌⋰*⋻2958))=NaN","reverse_text":"NaN=((⋰*⋻1852⩚⊴⇥⋰*⋻1A62⨽⋰*⋻5825∘⋰*⋻2966)⩅⪻⪻)↹⊜((→⩰⋰*⋻140A)⋥⋵⩄(⨵≀≌⋰*⋻3A51)≃(⫇⋰*⋻3147)↤⩊(⋰*⋻932≌⋰*⋻2958))","cot":[{"info":"⋰*⋻1852⩚⊴⇥⋰*⋻1A62=⋰*⋻-3904","layer":3},{"info":"⋰*⋻5825∘⋰*⋻2966=⋰*⋻1054A","layer":3},{"info":"⋰*⋻-3904⨽⋰*⋻1054A=⋰*⋻-3A914197","layer":2},{"info":"⋰*⋻-3A914197⩅⪻⪻=⋰*⋻2A98","layer":1},{"info":"→⩰⋰*⋻140A=NaN","layer":3},{"info":"⨵≀≌⋰*⋻3A51=⋰*⋻-10943","layer":3},{"info":"NaN⋥⋵⩄⋰*⋻-10943=NaN","layer":2},{"info":"⫇⋰*⋻3147=⋰*⋻-538A","layer":3},{"info":"⋰*⋻932≌⋰*⋻2958=NaN","layer":3},{"info":"⋰*⋻-538A↤⩊NaN=NaN","layer":2},{"info":"NaN≃NaN=NaN","layer":1},{"info":"⋰*⋻2A98↹⊜NaN=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"⊢≑≆(($1954$⋓$3714$∽$1309$⨽∌$5117$)⫢⨠($1610$⩚⊴⇥$5452$≬⇓$1296$⫢⨠$5091$))","expression":"⊢≑≆((⋰*⋻1517⋓⋰*⋻2877∽⋰*⋻A90⨽∌⋰*⋻3932)⫢⨠(⋰*⋻1234⩚⊴⇥⋰*⋻4107≬⇓⋰*⋻A79⫢⨠⋰*⋻3909))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21932,"operation_count":8,"complexity_ratio":2741.5,"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":1954,"base":11},"right_expr":{"type":"numeric_atoms","value":3714,"base":11}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1309,"base":11},"right_expr":{"type":"numeric_atoms","value":5117,"base":11}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1610,"base":11},"right_expr":{"type":"numeric_atoms","value":5452,"base":11}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1296,"base":11},"right_expr":{"type":"numeric_atoms","value":5091,"base":11}}}}},"used_operators":["27wFxooxGf","xlXykHWxX1","y4ImoPnbV5","T2fj7uvVaJ","9samAPKr6k","jWTQ2TZYIH","NTOWxs364D"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","NTOWxs364D","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1954","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=3714, 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=1309","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=5117, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=178","layer":2},{"info":"number node, value=1610","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=5452, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7183","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=5091","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=5091, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-7183, right_input=160, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=516788540","layer":2},{"info":"compute binary expreesion, left_input=178, right_input=516788540, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊢≑≆((⋰*⋻1517⋓⋰*⋻2877∽⋰*⋻A90⨽∌⋰*⋻3932)⫢⨠(⋰*⋻1234⩚⊴⇥⋰*⋻4107≬⇓⋰*⋻A79⫢⨠⋰*⋻3909))=NaN","reverse_text":"NaN=⊢≑≆((⋰*⋻1517⋓⋰*⋻2877∽⋰*⋻A90⨽∌⋰*⋻3932)⫢⨠(⋰*⋻1234⩚⊴⇥⋰*⋻4107≬⇓⋰*⋻A79⫢⨠⋰*⋻3909))","cot":[{"info":"⋰*⋻1517⋓⋰*⋻2877=⋰*⋻0","layer":3},{"info":"⋰*⋻A90⨽∌⋰*⋻3932=⋰*⋻0","layer":3},{"info":"⋰*⋻0∽⋰*⋻0=⋰*⋻152","layer":2},{"info":"⋰*⋻1234⩚⊴⇥⋰*⋻4107=⋰*⋻-5440","layer":3},{"info":"⋰*⋻A79⫢⨠⋰*⋻3909=⋰*⋻136","layer":3},{"info":"⋰*⋻-5440≬⇓⋰*⋻136=⋰*⋻245793974","layer":2},{"info":"⋰*⋻152⫢⨠⋰*⋻245793974=NaN","layer":1},{"info":"⊢≑≆NaN=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"($3258$≹⇙⪍$3012$)⪃⊛⇣(⇋↷$1615$)≁↽≥(($7857$∐⫣)⫑%∭)⊍⩺⋍(≀↧⇸($5176$⪠⩆⊳))⫁((⇙⪊$7393$)∙∹∝$1328$⊱⇼⊻$1256$)","expression":"(⋰*⋻24A2≹⇙⪍⋰*⋻2299)⪃⊛⇣(⇋↷⋰*⋻1239)≁↽≥((⋰*⋻59A3∐⫣)⫑%∭)⊍⩺⋍(≀↧⇸(⋰*⋻3986⪠⩆⊳))⫁((⇙⪊⋰*⋻5611)∙∹∝⋰*⋻AA8⊱⇼⊻⋰*⋻A42)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1880,"operation_count":13,"complexity_ratio":144.6153846153846,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3258,"base":11},"right_expr":{"type":"numeric_atoms","value":3012,"base":11}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1615,"base":11}}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":7857,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5176,"base":11}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":7393,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1328,"base":11},"right_expr":{"type":"numeric_atoms","value":1256,"base":11}}}}},"used_operators":["OXDGMFPWZM","ncHt1X6cMc","rrgAzCduG9","AHs5Up7iyr","SWo3A1KBJH","xUx7qlDO4z","4CyGpkTkEk","0ajvFaJAv0","ljTHtUsqzn","JLbD19bQDL","HmxsFra2vL","pB6Fcnrjim","FyVja0WsTP"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","oWn0xqSxBt","3Oe9XWJUTD","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","dWAJyo7jo9","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","cHh1gJQ2o6","AHs5Up7iyr","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3258","layer":4},{"info":"number node, value=3012","layer":4},{"info":"compute binary expreesion, left_input=3258, right_input=3012, 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=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12920","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12920, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=7857","layer":4},{"info":"compute unary expreesion, input=7857, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute unary expreesion, input=551, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"number node, value=5176","layer":4},{"info":"compute unary expreesion, input=5176, 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 = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=0","layer":2},{"info":"number node, value=7393","layer":4},{"info":"compute unary expreesion, input=7393, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1328","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1256, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=434, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻24A2≹⇙⪍⋰*⋻2299)⪃⊛⇣(⇋↷⋰*⋻1239)≁↽≥((⋰*⋻59A3∐⫣)⫑%∭)⊍⩺⋍(≀↧⇸(⋰*⋻3986⪠⩆⊳))⫁((⇙⪊⋰*⋻5611)∙∹∝⋰*⋻AA8⊱⇼⊻⋰*⋻A42)=NaN","reverse_text":"NaN=(⋰*⋻24A2≹⇙⪍⋰*⋻2299)⪃⊛⇣(⇋↷⋰*⋻1239)≁↽≥((⋰*⋻59A3∐⫣)⫑%∭)⊍⩺⋍(≀↧⇸(⋰*⋻3986⪠⩆⊳))⫁((⇙⪊⋰*⋻5611)∙∹∝⋰*⋻AA8⊱⇼⊻⋰*⋻A42)","cot":[{"info":"⋰*⋻24A2≹⇙⪍⋰*⋻2299=NaN","layer":3},{"info":"⇋↷⋰*⋻1239=⋰*⋻9786","layer":3},{"info":"NaN⪃⊛⇣⋰*⋻9786=⋰*⋻A22","layer":2},{"info":"⋰*⋻59A3∐⫣=⋰*⋻461","layer":3},{"info":"⋰*⋻461⫑%∭=NaN","layer":2},{"info":"⋰*⋻A22≁↽≥NaN=NaN","layer":1},{"info":"⋰*⋻3986⪠⩆⊳=⋰*⋻0","layer":3},{"info":"≀↧⇸⋰*⋻0=⋰*⋻0","layer":2},{"info":"⇙⪊⋰*⋻5611=⋰*⋻0","layer":3},{"info":"⋰*⋻AA8⊱⇼⊻⋰*⋻A42=⋰*⋻365","layer":3},{"info":"⋰*⋻0∙∹∝⋰*⋻365=⋰*⋻0","layer":2},{"info":"⋰*⋻0⫁⋰*⋻0=⋰*⋻136","layer":1},{"info":"NaN⊍⩺⋍⋰*⋻136=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"(⇖⫷⫕(($1065$⪒$4462$)⋻⩜⩜$1871$⇷$1018$))≧⫂∧(⨆≐≲($3750$⪥$1913$))≚⊃≕($2141$⇍⊗$2705$∕⩚($1181$⋹))","expression":"(⇖⫷⫕((⋰*⋻889⪒⋰*⋻3397)⋻⩜⩜⋰*⋻1451⇷⋰*⋻846))≧⫂∧(⨆≐≲(⋰*⋻28AA⪥⋰*⋻148A))≚⊃≕(⋰*⋻1677⇍⊗⋰*⋻203A∕⩚(⋰*⋻984⋹))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27778,"operation_count":11,"complexity_ratio":2525.2727272727275,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1065,"base":11},"right_expr":{"type":"numeric_atoms","value":4462,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1871,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3750,"base":11},"right_expr":{"type":"numeric_atoms","value":1913,"base":11}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2141,"base":11},"right_expr":{"type":"numeric_atoms","value":2705,"base":11}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1181,"base":11}}}}},"used_operators":["Ph9nP6C5qx","UHmRx3INFg","oDCm7WA9JY","f6k1SAg4EE","mp7IySMOzn","Bmrmz2XGnR","Bi9z9uYZqW","QbnwKVWMIQ","z9ffQ9n5Zr","5uvYHDjeKN","opAxDRczMr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"⋰*⋻400945188","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=4462, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5527","layer":3},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1018, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2036","layer":3},{"info":"compute binary expreesion, left_input=-5527, right_input=2036, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=24032","layer":2},{"info":"compute unary expreesion, input=24032, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=3750","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=1913, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19652","layer":3},{"info":"compute unary expreesion, input=19652, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=214738008","layer":2},{"info":"number node, value=2141","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=2705, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=-20, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=214738008, right_input=-487, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=858950892","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=858950892, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=858950419","layer":0}],"base":11,"result_base":11,"text":"(⇖⫷⫕((⋰*⋻889⪒⋰*⋻3397)⋻⩜⩜⋰*⋻1451⇷⋰*⋻846))≧⫂∧(⨆≐≲(⋰*⋻28AA⪥⋰*⋻148A))≚⊃≕(⋰*⋻1677⇍⊗⋰*⋻203A∕⩚(⋰*⋻984⋹))=⋰*⋻400945188","reverse_text":"⋰*⋻400945188=(⇖⫷⫕((⋰*⋻889⪒⋰*⋻3397)⋻⩜⩜⋰*⋻1451⇷⋰*⋻846))≧⫂∧(⨆≐≲(⋰*⋻28AA⪥⋰*⋻148A))≚⊃≕(⋰*⋻1677⇍⊗⋰*⋻203A∕⩚(⋰*⋻984⋹))","cot":[{"info":"⋰*⋻889⪒⋰*⋻3397=⋰*⋻-4175","layer":3},{"info":"⋰*⋻1451⇷⋰*⋻846=⋰*⋻1591","layer":3},{"info":"⋰*⋻-4175⋻⩜⩜⋰*⋻1591=⋰*⋻17068","layer":2},{"info":"⇖⫷⫕⋰*⋻17068=⋰*⋻2136","layer":1},{"info":"⋰*⋻28AA⪥⋰*⋻148A=⋰*⋻13846","layer":3},{"info":"⨆≐≲⋰*⋻13846=⋰*⋻100239931","layer":2},{"info":"⋰*⋻1677⇍⊗⋰*⋻203A=⋰*⋻-202","layer":3},{"info":"⋰*⋻984⋹=⋰*⋻-19","layer":3},{"info":"⋰*⋻-202∕⩚⋰*⋻-19=⋰*⋻-403","layer":2},{"info":"⋰*⋻100239931≚⊃≕⋰*⋻-403=⋰*⋻400945578","layer":1},{"info":"⋰*⋻2136≧⫂∧⋰*⋻400945578=⋰*⋻400945188","layer":0}]}
{"id":639,"expression_no_base_symbol":"($5016$⪛$1163$↙$1597$⪎↠$4619$∖($8827$%$3744$)⇍⊗($2134$⪉⨛$2557$))⪟⇏($1696$⫘$3614$⨐⩸⫘$3216$∼$3397$↱$1887$⊨$3055$⊋≦⊧($4278$⋩≍≻))","expression":"(⋰*⋻3850⪛⋰*⋻968↙⋰*⋻1222⪎↠⋰*⋻351A∖(⋰*⋻66A5%⋰*⋻28A4)⇍⊗(⋰*⋻1670⪉⨛⋰*⋻1A15))⪟⇏(⋰*⋻1302⫘⋰*⋻2796⨐⩸⫘⋰*⋻2464∼⋰*⋻2609↱⋰*⋻1466⊨⋰*⋻2328⊋≦⊧(⋰*⋻323A⋩≍≻))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2525,"operation_count":15,"complexity_ratio":168.33333333333334,"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":5016,"base":11},"right_expr":{"type":"numeric_atoms","value":1163,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1597,"base":11},"right_expr":{"type":"numeric_atoms","value":4619,"base":11}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8827,"base":11},"right_expr":{"type":"numeric_atoms","value":3744,"base":11}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2134,"base":11},"right_expr":{"type":"numeric_atoms","value":2557,"base":11}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1696,"base":11},"right_expr":{"type":"numeric_atoms","value":3614,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3216,"base":11},"right_expr":{"type":"numeric_atoms","value":3397,"base":11}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1887,"base":11},"right_expr":{"type":"numeric_atoms","value":3055,"base":11}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":4278,"base":11}}}}},"used_operators":["GODebY97qR","tXD093vOjl","yyfyN0ffXY","uFcxV4UQCh","3tVxb0NHM4","5uvYHDjeKN","k8jYdgA6NY","EWw2JM7wp4","SR5kFfdi6N","fu6greOZ01","48vC8HMD2b","DyGG3AbaNP","oRDoc9rAEX","vg4gO5BX6G","WYd1w68Nbz"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","3ViojmjbAp","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5016","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=5016, right_input=1163, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=364","layer":3},{"info":"number node, value=1597","layer":4},{"info":"number node, value=4619","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=4619, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=364, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-480","layer":2},{"info":"number node, value=8827","layer":4},{"info":"number node, value=3744","layer":4},{"info":"compute binary expreesion, left_input=8827, right_input=3744, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1339","layer":3},{"info":"number node, value=2134","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=2557, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4060","layer":3},{"info":"compute binary expreesion, left_input=1339, right_input=4060, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=-244, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=1696","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=3614, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1998901","layer":3},{"info":"number node, value=3216","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=3397, 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=1998901, 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=1887","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=3055, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8579","layer":3},{"info":"number node, value=4278","layer":4},{"info":"compute unary expreesion, input=4278, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=8579, right_input=-55, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=350","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=350, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-528","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-528, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3850⪛⋰*⋻968↙⋰*⋻1222⪎↠⋰*⋻351A∖(⋰*⋻66A5%⋰*⋻28A4)⇍⊗(⋰*⋻1670⪉⨛⋰*⋻1A15))⪟⇏(⋰*⋻1302⫘⋰*⋻2796⨐⩸⫘⋰*⋻2464∼⋰*⋻2609↱⋰*⋻1466⊨⋰*⋻2328⊋≦⊧(⋰*⋻323A⋩≍≻))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻3850⪛⋰*⋻968↙⋰*⋻1222⪎↠⋰*⋻351A∖(⋰*⋻66A5%⋰*⋻28A4)⇍⊗(⋰*⋻1670⪉⨛⋰*⋻1A15))⪟⇏(⋰*⋻1302⫘⋰*⋻2796⨐⩸⫘⋰*⋻2464∼⋰*⋻2609↱⋰*⋻1466⊨⋰*⋻2328⊋≦⊧(⋰*⋻323A⋩≍≻))","cot":[{"info":"⋰*⋻3850⪛⋰*⋻968=⋰*⋻301","layer":3},{"info":"⋰*⋻1222⪎↠⋰*⋻351A=⋰*⋻136","layer":3},{"info":"⋰*⋻301↙⋰*⋻136=⋰*⋻-3A7","layer":2},{"info":"⋰*⋻66A5%⋰*⋻28A4=⋰*⋻1008","layer":3},{"info":"⋰*⋻1670⪉⨛⋰*⋻1A15=⋰*⋻3061","layer":3},{"info":"⋰*⋻1008⇍⊗⋰*⋻3061=⋰*⋻-202","layer":2},{"info":"⋰*⋻-3A7∖⋰*⋻-202=⋰*⋻0","layer":1},{"info":"⋰*⋻1302⫘⋰*⋻2796=⋰*⋻1145893","layer":3},{"info":"⋰*⋻2464∼⋰*⋻2609=NaN","layer":3},{"info":"⋰*⋻1145893⨐⩸⫘NaN=NaN","layer":2},{"info":"⋰*⋻1466⊨⋰*⋻2328=⋰*⋻649A","layer":3},{"info":"⋰*⋻323A⋩≍≻=⋰*⋻-50","layer":3},{"info":"⋰*⋻649A⊋≦⊧⋰*⋻-50=⋰*⋻299","layer":2},{"info":"NaN↱⋰*⋻299=⋰*⋻-440","layer":1},{"info":"⋰*⋻0⪟⇏⋰*⋻-440=⋰*⋻0","layer":0}]}
{"id":640,"expression_no_base_symbol":"($5513$∴$2123$+⪬∐($5243$⫭)↼⊘⨖$1445$⇂≾⫗$3685$⫣⪄⊒($6306$⇮⋭$6477$))↹⊜(($3342$⫸⇳$3071$)∛(↞≼$4467$)∌↝($1062$∁)⇻⋧≁($5935$∵≐))","expression":"(⋰*⋻4162∴⋰*⋻1660+⪬∐(⋰*⋻3A37⫭)↼⊘⨖⋰*⋻10A4⇂≾⫗⋰*⋻2850⫣⪄⊒(⋰*⋻4813⇮⋭⋰*⋻4959))↹⊜((⋰*⋻2569⫸⇳⋰*⋻2342)∛(↞≼⋰*⋻33A1)∌↝(⋰*⋻886∁)⇻⋧≁(⋰*⋻4506∵≐))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1435,"operation_count":15,"complexity_ratio":95.66666666666667,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5513,"base":11},"right_expr":{"type":"numeric_atoms","value":2123,"base":11}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":5243,"base":11}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1445,"base":11},"right_expr":{"type":"numeric_atoms","value":3685,"base":11}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":6306,"base":11},"right_expr":{"type":"numeric_atoms","value":6477,"base":11}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3342,"base":11},"right_expr":{"type":"numeric_atoms","value":3071,"base":11}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4467,"base":11}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1062,"base":11}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":5935,"base":11}}}}},"used_operators":["9bazX3JMtO","bPywburJMS","2GS7woTJqF","hrf7POJlIJ","t4WUHVGj7f","RabNbG55vr","aBQ6xLxuTc","vkpjKywKVM","9Isq31Ruls","w2537kitQq","gx7XJ7hdpj","DE7zCoGJt9","jCPkEVoL5K","jdwGQqwJi5","59igzFyhWz"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2DDjHMKMc0","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"⋰*⋻-8150","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5513","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=5513, right_input=2123, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=12674","layer":3},{"info":"number node, value=5243","layer":4},{"info":"compute unary expreesion, input=5243, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=15970","layer":3},{"info":"compute binary expreesion, left_input=12674, right_input=15970, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-38022","layer":2},{"info":"number node, value=1445","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=3685, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=6306","layer":4},{"info":"number node, value=6477","layer":4},{"info":"compute binary expreesion, left_input=6306, right_input=6477, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-473, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-38022, right_input=160, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=98","layer":1},{"info":"number node, value=3342","layer":4},{"info":"number node, value=3071","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=3071, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=4467","layer":4},{"info":"compute unary expreesion, input=4467, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=35322","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=35322, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1062","layer":3},{"info":"number node, value=5935","layer":4},{"info":"compute unary expreesion, input=5935, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=4989","layer":3},{"info":"compute binary expreesion, left_input=1062, right_input=4989, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=-447, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=1341","layer":1},{"info":"compute binary expreesion, left_input=98, right_input=1341, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-10824","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4162∴⋰*⋻1660+⪬∐(⋰*⋻3A37⫭)↼⊘⨖⋰*⋻10A4⇂≾⫗⋰*⋻2850⫣⪄⊒(⋰*⋻4813⇮⋭⋰*⋻4959))↹⊜((⋰*⋻2569⫸⇳⋰*⋻2342)∛(↞≼⋰*⋻33A1)∌↝(⋰*⋻886∁)⇻⋧≁(⋰*⋻4506∵≐))=⋰*⋻-8150","reverse_text":"⋰*⋻-8150=(⋰*⋻4162∴⋰*⋻1660+⪬∐(⋰*⋻3A37⫭)↼⊘⨖⋰*⋻10A4⇂≾⫗⋰*⋻2850⫣⪄⊒(⋰*⋻4813⇮⋭⋰*⋻4959))↹⊜((⋰*⋻2569⫸⇳⋰*⋻2342)∛(↞≼⋰*⋻33A1)∌↝(⋰*⋻886∁)⇻⋧≁(⋰*⋻4506∵≐))","cot":[{"info":"⋰*⋻4162∴⋰*⋻1660=⋰*⋻9582","layer":3},{"info":"⋰*⋻3A37⫭=⋰*⋻10AA9","layer":3},{"info":"⋰*⋻9582+⪬∐⋰*⋻10AA9=⋰*⋻-26626","layer":2},{"info":"⋰*⋻10A4⇂≾⫗⋰*⋻2850=⋰*⋻-565","layer":3},{"info":"⋰*⋻4813⇮⋭⋰*⋻4959=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻-565⫣⪄⊒⋰*⋻-3A0=⋰*⋻136","layer":2},{"info":"⋰*⋻-26626↼⊘⨖⋰*⋻136=⋰*⋻8A","layer":1},{"info":"⋰*⋻2569⫸⇳⋰*⋻2342=⋰*⋻0","layer":3},{"info":"↞≼⋰*⋻33A1=⋰*⋻245A1","layer":3},{"info":"⋰*⋻0∛⋰*⋻245A1=⋰*⋻-565","layer":2},{"info":"⋰*⋻886∁=⋰*⋻886","layer":3},{"info":"⋰*⋻4506∵≐=⋰*⋻3826","layer":3},{"info":"⋰*⋻886⇻⋧≁⋰*⋻3826=⋰*⋻-377","layer":2},{"info":"⋰*⋻-565∌↝⋰*⋻-377=⋰*⋻100A","layer":1},{"info":"⋰*⋻8A↹⊜⋰*⋻100A=⋰*⋻-8150","layer":0}]}
{"id":641,"expression_no_base_symbol":"⇋↷((⨣⨃⇪($4534$⊭↱$1017$))⊦⊿)","expression":"⇋↷((⨣⨃⇪(⋰*⋻3452⊭↱⋰*⋻845))⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":35,"operation_count":4,"complexity_ratio":8.75,"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":4534,"base":11},"right_expr":{"type":"numeric_atoms","value":1017,"base":11}}}}},"used_operators":["SWo3A1KBJH","14qkJME0vr","AcOhelriW5","COABgblf1C"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-11473","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4534","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=4534, right_input=1017, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7029","layer":3},{"info":"compute unary expreesion, input=-7029, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute unary expreesion, input=1405, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4294","layer":1},{"info":"compute unary expreesion, input=-4294, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-16536","layer":0}],"base":11,"result_base":11,"text":"⇋↷((⨣⨃⇪(⋰*⋻3452⊭↱⋰*⋻845))⊦⊿)=⋰*⋻-11473","reverse_text":"⋰*⋻-11473=⇋↷((⨣⨃⇪(⋰*⋻3452⊭↱⋰*⋻845))⊦⊿)","cot":[{"info":"⋰*⋻3452⊭↱⋰*⋻845=⋰*⋻-5310","layer":3},{"info":"⨣⨃⇪⋰*⋻-5310=⋰*⋻1068","layer":2},{"info":"⋰*⋻1068⊦⊿=⋰*⋻-3254","layer":1},{"info":"⇋↷⋰*⋻-3254=⋰*⋻-11473","layer":0}]}
{"id":642,"expression_no_base_symbol":"(≉(⨑⩽⪐$4921$)∌$2124$∊∟⩊$5326$)⪚(⇜⊴$2127$⊕∕$1992$⪎↠($7585$∼$1863$))","expression":"(≉(⨑⩽⪐⋰*⋻3774)∌⋰*⋻1661∊∟⩊⋰*⋻4002)⪚(⇜⊴⋰*⋻1664⊕∕⋰*⋻1551⪎↠(⋰*⋻5776∼⋰*⋻1444))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":272,"operation_count":9,"complexity_ratio":30.22222222222222,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4921,"base":11}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2124,"base":11},"right_expr":{"type":"numeric_atoms","value":5326,"base":11}}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2127,"base":11},"right_expr":{"type":"numeric_atoms","value":1992,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7585,"base":11},"right_expr":{"type":"numeric_atoms","value":1863,"base":11}}}}},"used_operators":["HrjLwUk87U","e1ybzncUwg","8cLx32lpNA","AF7qkfDlqP","ddLRYrp01A","XwDhCwWbUn","3tVxb0NHM4","9cloC0Ngie","DyGG3AbaNP"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋰*⋻6365","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4921","layer":4},{"info":"compute unary expreesion, input=4921, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4648","layer":3},{"info":"number node, value=2124","layer":4},{"info":"number node, value=5326","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=5326, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5326","layer":3},{"info":"compute binary expreesion, left_input=-4648, right_input=5326, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4648","layer":2},{"info":"compute unary expreesion, input=-4648, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-4648","layer":1},{"info":"number node, value=2127","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=1992, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2127","layer":3},{"info":"number node, value=7585","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=7585, right_input=1863, 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=2127, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=1434","layer":1},{"info":"compute binary expreesion, left_input=-4648, right_input=1434, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=8420","layer":0}],"base":11,"result_base":11,"text":"(≉(⨑⩽⪐⋰*⋻3774)∌⋰*⋻1661∊∟⩊⋰*⋻4002)⪚(⇜⊴⋰*⋻1664⊕∕⋰*⋻1551⪎↠(⋰*⋻5776∼⋰*⋻1444))=⋰*⋻6365","reverse_text":"⋰*⋻6365=(≉(⨑⩽⪐⋰*⋻3774)∌⋰*⋻1661∊∟⩊⋰*⋻4002)⪚(⇜⊴⋰*⋻1664⊕∕⋰*⋻1551⪎↠(⋰*⋻5776∼⋰*⋻1444))","cot":[{"info":"⨑⩽⪐⋰*⋻3774=⋰*⋻-3546","layer":3},{"info":"⋰*⋻1661∊∟⩊⋰*⋻4002=⋰*⋻4002","layer":3},{"info":"⋰*⋻-3546∌⋰*⋻4002=⋰*⋻-3546","layer":2},{"info":"≉⋰*⋻-3546=⋰*⋻-3546","layer":1},{"info":"⋰*⋻1664⊕∕⋰*⋻1551=⋰*⋻1664","layer":3},{"info":"⋰*⋻5776∼⋰*⋻1444=NaN","layer":3},{"info":"⋰*⋻1664⪎↠NaN=⋰*⋻136","layer":2},{"info":"⇜⊴⋰*⋻136=⋰*⋻1094","layer":1},{"info":"⋰*⋻-3546⪚⋰*⋻1094=⋰*⋻6365","layer":0}]}
{"id":643,"expression_no_base_symbol":"((≀↧⇸$1647$∓⋝$3452$)⩤)↼⊘⨖($5348$∌↝$6399$⨔≚≋($2284$≎⊠⪸$2344$)↡⊰⫅(↡($3539$⪒$1472$)))","expression":"((≀↧⇸⋰*⋻1268∓⋝⋰*⋻2659)⩤)↼⊘⨖(⋰*⋻4022∌↝⋰*⋻4898⨔≚≋(⋰*⋻1797≎⊠⪸⋰*⋻1841)↡⊰⫅(↡(⋰*⋻2728⪒⋰*⋻1119)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":631799,"operation_count":10,"complexity_ratio":63179.9,"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":1647,"base":11},"right_expr":{"type":"numeric_atoms","value":3452,"base":11}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5348,"base":11},"right_expr":{"type":"numeric_atoms","value":6399,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2284,"base":11},"right_expr":{"type":"numeric_atoms","value":2344,"base":11}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3539,"base":11},"right_expr":{"type":"numeric_atoms","value":1472,"base":11}}}}},"used_operators":["bPywburJMS","Z2TMIBDE3Q","ljTHtUsqzn","PoHhknlbAi","VCtxkLNOzz","Z57zeUYC9z","9Isq31Ruls","bJkvcejdHO","MXaNJeIAZ3","f6k1SAg4EE"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1647","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=3452, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-268","layer":2},{"info":"compute unary expreesion, input=-268, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=268","layer":1},{"info":"number node, value=5348","layer":4},{"info":"number node, value=6399","layer":4},{"info":"compute binary expreesion, left_input=5348, right_input=6399, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2284","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2344, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=591083","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=591083, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-4731424","layer":2},{"info":"number node, value=3539","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=3539, right_input=1472, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5011","layer":3},{"info":"compute unary expreesion, input=-5011, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-45099","layer":2},{"info":"compute binary expreesion, left_input=-4731424, right_input=-45099, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=268, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((≀↧⇸⋰*⋻1268∓⋝⋰*⋻2659)⩤)↼⊘⨖(⋰*⋻4022∌↝⋰*⋻4898⨔≚≋(⋰*⋻1797≎⊠⪸⋰*⋻1841)↡⊰⫅(↡(⋰*⋻2728⪒⋰*⋻1119)))=NaN","reverse_text":"NaN=((≀↧⇸⋰*⋻1268∓⋝⋰*⋻2659)⩤)↼⊘⨖(⋰*⋻4022∌↝⋰*⋻4898⨔≚≋(⋰*⋻1797≎⊠⪸⋰*⋻1841)↡⊰⫅(↡(⋰*⋻2728⪒⋰*⋻1119)))","cot":[{"info":"⋰*⋻1268∓⋝⋰*⋻2659=⋰*⋻61","layer":3},{"info":"≀↧⇸⋰*⋻61=⋰*⋻-224","layer":2},{"info":"⋰*⋻-224⩤=⋰*⋻224","layer":1},{"info":"⋰*⋻4022∌↝⋰*⋻4898=⋰*⋻0","layer":3},{"info":"⋰*⋻1797≎⊠⪸⋰*⋻1841=⋰*⋻3740A9","layer":3},{"info":"⋰*⋻0⨔≚≋⋰*⋻3740A9=⋰*⋻-2741875","layer":2},{"info":"⋰*⋻2728⪒⋰*⋻1119=⋰*⋻-3846","layer":3},{"info":"↡⋰*⋻-3846=⋰*⋻-3097A","layer":2},{"info":"⋰*⋻-2741875↡⊰⫅⋰*⋻-3097A=NaN","layer":1},{"info":"⋰*⋻224↼⊘⨖NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"($1553$≁$7686$≭($2455$↱$6140$))+⪬∐($2215$⪶≀⋏$2297$⪔$3133$∼$5439$)≧⫂∧(⇘(≸≮(⪛⨧$3482$)))","expression":"(⋰*⋻1192≁⋰*⋻5858≭(⋰*⋻1932↱⋰*⋻4682))+⪬∐(⋰*⋻1734⪶≀⋏⋰*⋻17A9⪔⋰*⋻2399∼⋰*⋻40A5)≧⫂∧(⇘(≸≮(⪛⨧⋰*⋻2686)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10615,"operation_count":11,"complexity_ratio":965.0,"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":1553,"base":11},"right_expr":{"type":"numeric_atoms","value":7686,"base":11}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2455,"base":11},"right_expr":{"type":"numeric_atoms","value":6140,"base":11}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2215,"base":11},"right_expr":{"type":"numeric_atoms","value":2297,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3133,"base":11},"right_expr":{"type":"numeric_atoms","value":5439,"base":11}}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3482,"base":11}}}}},"used_operators":["Ph9nP6C5qx","2GS7woTJqF","rxpJgHHUmx","8N2wDY1A35","SR5kFfdi6N","GjBEYRfMaF","zR4jO40bMj","DyGG3AbaNP","MGuIdZPyUC","AljMvE3RRm","6NJAcO2OWT"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","AHs5Up7iyr","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1553","layer":4},{"info":"number node, value=7686","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=7686, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=171263","layer":3},{"info":"number node, value=2455","layer":4},{"info":"number node, value=6140","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=6140, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-17898","layer":3},{"info":"compute binary expreesion, left_input=171263, right_input=-17898, 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=2215","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=2297, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11471","layer":3},{"info":"number node, value=3133","layer":4},{"info":"number node, value=5439","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=5439, 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=-11471, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"number node, value=3482","layer":4},{"info":"compute unary expreesion, input=3482, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=8365","layer":3},{"info":"compute unary expreesion, input=8365, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=nan","layer":1},{"info":"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":11,"result_base":11,"text":"(⋰*⋻1192≁⋰*⋻5858≭(⋰*⋻1932↱⋰*⋻4682))+⪬∐(⋰*⋻1734⪶≀⋏⋰*⋻17A9⪔⋰*⋻2399∼⋰*⋻40A5)≧⫂∧(⇘(≸≮(⪛⨧⋰*⋻2686)))=NaN","reverse_text":"NaN=(⋰*⋻1192≁⋰*⋻5858≭(⋰*⋻1932↱⋰*⋻4682))+⪬∐(⋰*⋻1734⪶≀⋏⋰*⋻17A9⪔⋰*⋻2399∼⋰*⋻40A5)≧⫂∧(⇘(≸≮(⪛⨧⋰*⋻2686)))","cot":[{"info":"⋰*⋻1192≁⋰*⋻5858=⋰*⋻107744","layer":3},{"info":"⋰*⋻1932↱⋰*⋻4682=⋰*⋻-124A1","layer":3},{"info":"⋰*⋻107744≭⋰*⋻-124A1=NaN","layer":2},{"info":"⋰*⋻1734⪶≀⋏⋰*⋻17A9=⋰*⋻-8689","layer":3},{"info":"⋰*⋻2399∼⋰*⋻40A5=NaN","layer":3},{"info":"⋰*⋻-8689⪔NaN=NaN","layer":2},{"info":"NaN+⪬∐NaN=NaN","layer":1},{"info":"⪛⨧⋰*⋻2686=⋰*⋻6315","layer":3},{"info":"≸≮⋰*⋻6315=NaN","layer":2},{"info":"⇘NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"(($1003$∊∟⩊$5002$)≁(∮$1002$)⫔⩽⩺(⪨⨬($1281$⇤$4380$)))⩣⫁∢(($2824$↡⊰⫅$1805$)⊕∕($7142$↓$7575$)⩒⫫(($3748$⊔$1096$)⫲⨊))","expression":"((⋰*⋻832∊∟⩊⋰*⋻3838)≁(∮⋰*⋻831)⫔⩽⩺(⪨⨬(⋰*⋻A65⇤⋰*⋻3322)))⩣⫁∢((⋰*⋻2138↡⊰⫅⋰*⋻13A1)⊕∕(⋰*⋻5403↓⋰*⋻5767)⩒⫫((⋰*⋻28A8⊔⋰*⋻907)⫲⨊))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":415005,"operation_count":13,"complexity_ratio":31923.46153846154,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":5002,"base":11}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1002,"base":11}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1281,"base":11},"right_expr":{"type":"numeric_atoms","value":4380,"base":11}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2824,"base":11},"right_expr":{"type":"numeric_atoms","value":1805,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":7142,"base":11},"right_expr":{"type":"numeric_atoms","value":7575,"base":11}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3748,"base":11},"right_expr":{"type":"numeric_atoms","value":1096,"base":11}}}}},"used_operators":["JDUIKTTSIa","i9eR4S00cU","8N2wDY1A35","ddLRYrp01A","CqXKPLVYql","5obUd6DV38","YSKBFp38Pu","KFSx94NKJn","9cloC0Ngie","VCtxkLNOzz","Af076pWI7l","CArV6hThFE","E4l6HwMY31"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=5002, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5002","layer":3},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=5002, right_input=67, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-3849","layer":2},{"info":"number node, value=1281","layer":4},{"info":"number node, value=4380","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=4380, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-25457","layer":3},{"info":"compute unary expreesion, input=-25457, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=-3849, right_input=-526, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=2824","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=1805, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3610","layer":3},{"info":"number node, value=7142","layer":4},{"info":"number node, value=7575","layer":4},{"info":"compute binary expreesion, left_input=7142, right_input=7575, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=3610, right_input=-134, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3610","layer":2},{"info":"number node, value=3748","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=1096, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=10576","layer":3},{"info":"compute unary expreesion, input=10576, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=53663","layer":2},{"info":"compute binary expreesion, left_input=3610, right_input=53663, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3308","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3308, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻832∊∟⩊⋰*⋻3838)≁(∮⋰*⋻831)⫔⩽⩺(⪨⨬(⋰*⋻A65⇤⋰*⋻3322)))⩣⫁∢((⋰*⋻2138↡⊰⫅⋰*⋻13A1)⊕∕(⋰*⋻5403↓⋰*⋻5767)⩒⫫((⋰*⋻28A8⊔⋰*⋻907)⫲⨊))=NaN","reverse_text":"NaN=((⋰*⋻832∊∟⩊⋰*⋻3838)≁(∮⋰*⋻831)⫔⩽⩺(⪨⨬(⋰*⋻A65⇤⋰*⋻3322)))⩣⫁∢((⋰*⋻2138↡⊰⫅⋰*⋻13A1)⊕∕(⋰*⋻5403↓⋰*⋻5767)⩒⫫((⋰*⋻28A8⊔⋰*⋻907)⫲⨊))","cot":[{"info":"⋰*⋻832∊∟⩊⋰*⋻3838=⋰*⋻3838","layer":3},{"info":"∮⋰*⋻831=⋰*⋻61","layer":3},{"info":"⋰*⋻3838≁⋰*⋻61=⋰*⋻-298A","layer":2},{"info":"⋰*⋻A65⇤⋰*⋻3322=⋰*⋻-18143","layer":3},{"info":"⪨⨬⋰*⋻-18143=⋰*⋻-439","layer":2},{"info":"⋰*⋻-298A⫔⩽⩺⋰*⋻-439=NaN","layer":1},{"info":"⋰*⋻2138↡⊰⫅⋰*⋻13A1=⋰*⋻2792","layer":3},{"info":"⋰*⋻5403↓⋰*⋻5767=⋰*⋻-112","layer":3},{"info":"⋰*⋻2792⊕∕⋰*⋻-112=⋰*⋻2792","layer":2},{"info":"⋰*⋻28A8⊔⋰*⋻907=⋰*⋻7A45","layer":3},{"info":"⋰*⋻7A45⫲⨊=⋰*⋻37355","layer":2},{"info":"⋰*⋻2792⩒⫫⋰*⋻37355=⋰*⋻2538","layer":1},{"info":"NaN⩣⫁∢⋰*⋻2538=NaN","layer":0}]}
{"id":646,"expression_no_base_symbol":"∷≠(((⩒∊$1087$)⨑≵⋬$2812$⫰⋱$4165$)↡⊰⫅(⨴⫝$1087$⪥$1064$))","expression":"∷≠(((⩒∊⋰*⋻8A9)⨑≵⋬⋰*⋻2127⫰⋱⋰*⋻3147)↡⊰⫅(⨴⫝⋰*⋻8A9⪥⋰*⋻888))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1896,"operation_count":7,"complexity_ratio":270.85714285714283,"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":1087,"base":11}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2812,"base":11},"right_expr":{"type":"numeric_atoms","value":4165,"base":11}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1087,"base":11},"right_expr":{"type":"numeric_atoms","value":1064,"base":11}}}}},"used_operators":["QiR2Oyf5Xj","VCtxkLNOzz","XnXgA4xnOs","qazvmhNBbN","6o9Blt3TJ6","SVb2v531z1","QbnwKVWMIQ"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⋰*⋻3213809","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":4},{"info":"compute unary expreesion, input=1087, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1417","layer":3},{"info":"number node, value=2812","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=2812, right_input=4165, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2779","layer":3},{"info":"compute binary expreesion, left_input=1417, right_input=-2779, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=34507","layer":2},{"info":"number node, value=1087","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=1064, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9000","layer":3},{"info":"compute unary expreesion, input=9000, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=34507, right_input=2828198, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5656396","layer":1},{"info":"compute unary expreesion, input=5656396, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=5656396","layer":0}],"base":11,"result_base":11,"text":"∷≠(((⩒∊⋰*⋻8A9)⨑≵⋬⋰*⋻2127⫰⋱⋰*⋻3147)↡⊰⫅(⨴⫝⋰*⋻8A9⪥⋰*⋻888))=⋰*⋻3213809","reverse_text":"⋰*⋻3213809=∷≠(((⩒∊⋰*⋻8A9)⨑≵⋬⋰*⋻2127⫰⋱⋰*⋻3147)↡⊰⫅(⨴⫝⋰*⋻8A9⪥⋰*⋻888))","cot":[{"info":"⩒∊⋰*⋻8A9=⋰*⋻1079","layer":3},{"info":"⋰*⋻2127⫰⋱⋰*⋻3147=⋰*⋻-20A7","layer":3},{"info":"⋰*⋻1079⨑≵⋬⋰*⋻-20A7=⋰*⋻23A20","layer":2},{"info":"⋰*⋻8A9⪥⋰*⋻888=⋰*⋻6842","layer":3},{"info":"⨴⫝⋰*⋻6842=⋰*⋻166195A","layer":2},{"info":"⋰*⋻23A20↡⊰⫅⋰*⋻166195A=⋰*⋻3213809","layer":1},{"info":"∷≠⋰*⋻3213809=⋰*⋻3213809","layer":0}]}
{"id":647,"expression_no_base_symbol":"(((⋃$1111$)⪁(⋃$1010$))∖(∮($3649$+$2901$)))⋹⋡⊁(($1753$⇴∐$2177$)⨪↰⇹$5611$⨑⩅≇$3808$∐⫣)","expression":"(((⋃⋰*⋻920)⪁(⋃⋰*⋻839))∖(∮(⋰*⋻2818+⋰*⋻21A8)))⋹⋡⊁((⋰*⋻1354⇴∐⋰*⋻16AA)⨪↰⇹⋰*⋻4241⨑⩅≇⋰*⋻2952∐⫣)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43086952,"operation_count":11,"complexity_ratio":3916995.6363636362,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1111,"base":11}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1010,"base":11}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3649,"base":11},"right_expr":{"type":"numeric_atoms","value":2901,"base":11}}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1753,"base":11},"right_expr":{"type":"numeric_atoms","value":2177,"base":11}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5611,"base":11},"right_expr":{"type":"numeric_atoms","value":3808,"base":11}}}}},"used_operators":["As8RqfVLgs","tXD093vOjl","I7sXao9hZE","3mBM5G4a3l","CqXKPLVYql","W4YGzv6Whe","4CyGpkTkEk","tmPS8pqC7x","HnzytWxmAO","h92wMvzauj"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","g55IO6H4Gj","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⋰*⋻-219","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2324","layer":3},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2122","layer":3},{"info":"compute binary expreesion, left_input=2324, right_input=2122, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=3649","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=3649, right_input=2901, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6550","layer":3},{"info":"compute unary expreesion, input=6550, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=1753","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=2177, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=5611","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=5611, right_input=3808, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-16833","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16833, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-262","layer":0}],"base":11,"result_base":11,"text":"(((⋃⋰*⋻920)⪁(⋃⋰*⋻839))∖(∮(⋰*⋻2818+⋰*⋻21A8)))⋹⋡⊁((⋰*⋻1354⇴∐⋰*⋻16AA)⨪↰⇹⋰*⋻4241⨑⩅≇⋰*⋻2952∐⫣)=⋰*⋻-219","reverse_text":"⋰*⋻-219=(((⋃⋰*⋻920)⪁(⋃⋰*⋻839))∖(∮(⋰*⋻2818+⋰*⋻21A8)))⋹⋡⊁((⋰*⋻1354⇴∐⋰*⋻16AA)⨪↰⇹⋰*⋻4241⨑⩅≇⋰*⋻2952∐⫣)","cot":[{"info":"⋃⋰*⋻920=⋰*⋻1823","layer":3},{"info":"⋃⋰*⋻839=⋰*⋻165A","layer":3},{"info":"⋰*⋻1823⪁⋰*⋻165A=NaN","layer":2},{"info":"⋰*⋻2818+⋰*⋻21A8=⋰*⋻4A15","layer":3},{"info":"∮⋰*⋻4A15=⋰*⋻61","layer":2},{"info":"NaN∖⋰*⋻61=⋰*⋻0","layer":1},{"info":"⋰*⋻1354⇴∐⋰*⋻16AA=NaN","layer":3},{"info":"⋰*⋻4241⨑⩅≇⋰*⋻2952=⋰*⋻-11713","layer":3},{"info":"NaN⨪↰⇹⋰*⋻-11713=NaN","layer":2},{"info":"NaN∐⫣=NaN","layer":1},{"info":"⋰*⋻0⋹⋡⊁NaN=⋰*⋻-219","layer":0}]}
{"id":648,"expression_no_base_symbol":"($4987$≒∊$4592$⊋≦⊧($3350$⊧↖))⇡⇂(($3198$⪔$7989$)⪎↠($4222$∼$3259$))⨔⇊(((⨭⩧⫛$1674$)⫸⇳(⇨$6497$))⩚⊴⇥(($1168$≋⫹)⩘⨬⇊))","expression":"(⋰*⋻3824≒∊⋰*⋻34A5⊋≦⊧(⋰*⋻2576⊧↖))⇡⇂((⋰*⋻2448⪔⋰*⋻6003)⪎↠(⋰*⋻3199∼⋰*⋻24A3))⨔⇊(((⨭⩧⫛⋰*⋻1292)⫸⇳(⇨⋰*⋻4977))⩚⊴⇥((⋰*⋻972≋⫹)⩘⨬⇊))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":59203,"operation_count":14,"complexity_ratio":4228.785714285715,"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":4987,"base":11},"right_expr":{"type":"numeric_atoms","value":4592,"base":11}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3350,"base":11}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3198,"base":11},"right_expr":{"type":"numeric_atoms","value":7989,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4222,"base":11},"right_expr":{"type":"numeric_atoms","value":3259,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1674,"base":11}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":6497,"base":11}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1168,"base":11}}}}},"used_operators":["JclMnS0uGI","UMwdvZNt44","oRDoc9rAEX","5KTvxBwnZo","EKiFHuOFxO","3tVxb0NHM4","GjBEYRfMaF","DyGG3AbaNP","NTOWxs364D","gx7XJ7hdpj","g21JL6JxX7","G9tJMlZ94a","XXmTpEpWTW","N41Kp7NANJ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","k8jYdgA6NY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4987","layer":4},{"info":"number node, value=4592","layer":4},{"info":"compute binary expreesion, left_input=4987, right_input=4592, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4503","layer":3},{"info":"number node, value=3350","layer":4},{"info":"compute unary expreesion, input=3350, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=67352228","layer":3},{"info":"compute binary expreesion, left_input=-4503, right_input=67352228, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=3198","layer":4},{"info":"number node, value=7989","layer":4},{"info":"compute binary expreesion, left_input=3198, right_input=7989, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=4222","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=4222, right_input=3259, 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=450, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1318","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=1318, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-195","layer":1},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=6497","layer":4},{"info":"compute unary expreesion, input=6497, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2336","layer":3},{"info":"compute unary expreesion, input=-2336, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-195, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3824≒∊⋰*⋻34A5⊋≦⊧(⋰*⋻2576⊧↖))⇡⇂((⋰*⋻2448⪔⋰*⋻6003)⪎↠(⋰*⋻3199∼⋰*⋻24A3))⨔⇊(((⨭⩧⫛⋰*⋻1292)⫸⇳(⇨⋰*⋻4977))⩚⊴⇥((⋰*⋻972≋⫹)⩘⨬⇊))=NaN","reverse_text":"NaN=(⋰*⋻3824≒∊⋰*⋻34A5⊋≦⊧(⋰*⋻2576⊧↖))⇡⇂((⋰*⋻2448⪔⋰*⋻6003)⪎↠(⋰*⋻3199∼⋰*⋻24A3))⨔⇊(((⨭⩧⫛⋰*⋻1292)⫸⇳(⇨⋰*⋻4977))⩚⊴⇥((⋰*⋻972≋⫹)⩘⨬⇊))","cot":[{"info":"⋰*⋻3824≒∊⋰*⋻34A5=⋰*⋻-3424","layer":3},{"info":"⋰*⋻2576⊧↖=⋰*⋻350227A9","layer":3},{"info":"⋰*⋻-3424⊋≦⊧⋰*⋻350227A9=⋰*⋻165","layer":2},{"info":"⋰*⋻2448⪔⋰*⋻6003=⋰*⋻37A","layer":3},{"info":"⋰*⋻3199∼⋰*⋻24A3=NaN","layer":3},{"info":"⋰*⋻37A⪎↠NaN=⋰*⋻A99","layer":2},{"info":"⋰*⋻165⇡⇂⋰*⋻A99=⋰*⋻-168","layer":1},{"info":"⨭⩧⫛⋰*⋻1292=NaN","layer":3},{"info":"⇨⋰*⋻4977=⋰*⋻0","layer":3},{"info":"NaN⫸⇳⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻972≋⫹=⋰*⋻-1834","layer":3},{"info":"⋰*⋻-1834⩘⨬⇊=⋰*⋻-A6","layer":2},{"info":"NaN⩚⊴⇥⋰*⋻-A6=NaN","layer":1},{"info":"⋰*⋻-168⨔⇊NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"⋎⨆($1090$⪘⨀)↡⊰⫅(↡$1719$)⨑≵⋬(≱⇩⩕$4622$)⪇≇⋚$7582$⩌⋺$1310$","expression":"⋎⨆(⋰*⋻901⪘⨀)↡⊰⫅(↡⋰*⋻1323)⨑≵⋬(≱⇩⩕⋰*⋻3522)⪇≇⋚⋰*⋻5773⩌⋺⋰*⋻A91","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":216742,"operation_count":8,"complexity_ratio":27092.75,"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":1090,"base":11}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1719,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":4622,"base":11}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":7582,"base":11},"right_expr":{"type":"numeric_atoms","value":1310,"base":11}}}}},"used_operators":["E64sFOc4tB","XnXgA4xnOs","VCtxkLNOzz","aA7tF3KVD3","MXaNJeIAZ3","3sJ7IOPOlU","3DZMoQKiUl","g7Hmc5v1ko"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2761","layer":3},{"info":"number node, value=1719","layer":4},{"info":"compute unary expreesion, input=1719, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=15471","layer":3},{"info":"compute binary expreesion, left_input=-2761, right_input=15471, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=30942","layer":2},{"info":"number node, value=4622","layer":4},{"info":"compute unary expreesion, input=4622, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=7582","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=7582, right_input=1310, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-9013","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-9013, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=30942, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=157121","layer":1},{"info":"compute unary expreesion, input=157121, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⋎⨆(⋰*⋻901⪘⨀)↡⊰⫅(↡⋰*⋻1323)⨑≵⋬(≱⇩⩕⋰*⋻3522)⪇≇⋚⋰*⋻5773⩌⋺⋰*⋻A91=⋰*⋻0","reverse_text":"⋰*⋻0=⋎⨆(⋰*⋻901⪘⨀)↡⊰⫅(↡⋰*⋻1323)⨑≵⋬(≱⇩⩕⋰*⋻3522)⪇≇⋚⋰*⋻5773⩌⋺⋰*⋻A91","cot":[{"info":"⋰*⋻901⪘⨀=⋰*⋻-2090","layer":3},{"info":"↡⋰*⋻1323=⋰*⋻10695","layer":3},{"info":"⋰*⋻-2090↡⊰⫅⋰*⋻10695=⋰*⋻2127A","layer":2},{"info":"≱⇩⩕⋰*⋻3522=⋰*⋻A3","layer":3},{"info":"⋰*⋻5773⩌⋺⋰*⋻A91=⋰*⋻-6854","layer":3},{"info":"⋰*⋻A3⪇≇⋚⋰*⋻-6854=⋰*⋻0","layer":2},{"info":"⋰*⋻2127A⨑≵⋬⋰*⋻0=⋰*⋻A8058","layer":1},{"info":"⋎⨆⋰*⋻A8058=⋰*⋻0","layer":0}]}
{"id":650,"expression_no_base_symbol":"⪹(($1594$⫔⩽⩺$7655$)≠≀($3525$⇴∐$5956$)↡⊰⫅($5732$⩷∴$2804$)⨂≜($3827$⊊))","expression":"⪹((⋰*⋻121A⫔⩽⩺⋰*⋻582A)≠≀(⋰*⋻2715⇴∐⋰*⋻4525)↡⊰⫅(⋰*⋻4341⩷∴⋰*⋻211A)⨂≜(⋰*⋻296A⊊))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6184,"operation_count":8,"complexity_ratio":773.0,"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":1594,"base":11},"right_expr":{"type":"numeric_atoms","value":7655,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3525,"base":11},"right_expr":{"type":"numeric_atoms","value":5956,"base":11}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5732,"base":11},"right_expr":{"type":"numeric_atoms","value":2804,"base":11}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":3827,"base":11}}}}},"used_operators":["USyYr0JgAa","VCtxkLNOzz","IwW236VD4Y","i9eR4S00cU","HnzytWxmAO","k1SHOSEABc","9FxExcQeMw","W9R8I5fN5A"],"dependent_operators":["tifHPKVTfV","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Tw270M8GLb","fu6greOZ01","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1594","layer":4},{"info":"number node, value=7655","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=7655, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=3525","layer":4},{"info":"number node, value=5956","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=5956, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"number node, value=5732","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=5732, right_input=2804, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5824","layer":3},{"info":"number node, value=3827","layer":4},{"info":"compute unary expreesion, input=3827, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=5824, right_input=90927, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪹((⋰*⋻121A⫔⩽⩺⋰*⋻582A)≠≀(⋰*⋻2715⇴∐⋰*⋻4525)↡⊰⫅(⋰*⋻4341⩷∴⋰*⋻211A)⨂≜(⋰*⋻296A⊊))=NaN","reverse_text":"NaN=⪹((⋰*⋻121A⫔⩽⩺⋰*⋻582A)≠≀(⋰*⋻2715⇴∐⋰*⋻4525)↡⊰⫅(⋰*⋻4341⩷∴⋰*⋻211A)⨂≜(⋰*⋻296A⊊))","cot":[{"info":"⋰*⋻121A⫔⩽⩺⋰*⋻582A=NaN","layer":3},{"info":"⋰*⋻2715⇴∐⋰*⋻4525=NaN","layer":3},{"info":"NaN≠≀NaN=NaN","layer":2},{"info":"⋰*⋻4341⩷∴⋰*⋻211A=⋰*⋻4415","layer":3},{"info":"⋰*⋻296A⊊=⋰*⋻62351","layer":3},{"info":"⋰*⋻4415⨂≜⋰*⋻62351=NaN","layer":2},{"info":"NaN↡⊰⫅NaN=NaN","layer":1},{"info":"⪹NaN=NaN","layer":0}]}
{"id":651,"expression_no_base_symbol":"⇖($3575$≌$2337$⇣⩺⋵($9605$⊋≦⊧$8135$))⋕⪉⪜(($7875$∪⫐$1902$)⩵∡($1806$↯⫤))","expression":"⇖(⋰*⋻2760≌⋰*⋻1835⇣⩺⋵(⋰*⋻7242⊋≦⊧⋰*⋻6126))⋕⪉⪜((⋰*⋻5A0A∪⫐⋰*⋻147A)⩵∡(⋰*⋻13A2↯⫤))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2602,"operation_count":8,"complexity_ratio":325.25,"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":3575,"base":11},"right_expr":{"type":"numeric_atoms","value":2337,"base":11}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":9605,"base":11},"right_expr":{"type":"numeric_atoms","value":8135,"base":11}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":7875,"base":11},"right_expr":{"type":"numeric_atoms","value":1902,"base":11}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":1806,"base":11}}}}},"used_operators":["tfWHHpNKUN","z6LnFrNh4i","F4yD0voBRQ","lyWz822IDG","oRDoc9rAEX","Y7wcNGrDQJ","7YooWSwCyH","VwlE7vj6HS"],"dependent_operators":["2DQ55sFlQl","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3575","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=2337, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=9605","layer":4},{"info":"number node, value=8135","layer":4},{"info":"compute binary expreesion, left_input=9605, right_input=8135, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-16030","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16030, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=7875","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=7875, right_input=1902, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=7875","layer":3},{"info":"number node, value=1806","layer":4},{"info":"compute unary expreesion, input=1806, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7875, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-15871","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-15871, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute unary expreesion, input=2802, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":11,"result_base":11,"text":"⇖(⋰*⋻2760≌⋰*⋻1835⇣⩺⋵(⋰*⋻7242⊋≦⊧⋰*⋻6126))⋕⪉⪜((⋰*⋻5A0A∪⫐⋰*⋻147A)⩵∡(⋰*⋻13A2↯⫤))=⋰*⋻136","reverse_text":"⋰*⋻136=⇖(⋰*⋻2760≌⋰*⋻1835⇣⩺⋵(⋰*⋻7242⊋≦⊧⋰*⋻6126))⋕⪉⪜((⋰*⋻5A0A∪⫐⋰*⋻147A)⩵∡(⋰*⋻13A2↯⫤))","cot":[{"info":"⋰*⋻2760≌⋰*⋻1835=NaN","layer":3},{"info":"⋰*⋻7242⊋≦⊧⋰*⋻6126=⋰*⋻-11053","layer":3},{"info":"NaN⇣⩺⋵⋰*⋻-11053=⋰*⋻-217","layer":2},{"info":"⋰*⋻5A0A∪⫐⋰*⋻147A=⋰*⋻5A0A","layer":3},{"info":"⋰*⋻13A2↯⫤=⋰*⋻0","layer":3},{"info":"⋰*⋻5A0A⩵∡⋰*⋻0=⋰*⋻-10A19","layer":2},{"info":"⋰*⋻-217⋕⪉⪜⋰*⋻-10A19=⋰*⋻2118","layer":1},{"info":"⇖⋰*⋻2118=⋰*⋻136","layer":0}]}
{"id":652,"expression_no_base_symbol":"(($2545$⨔⇊$1256$)⋩≍≻)∌((↥$2220$)⋘⨑⨽)≧⫂∧((($4553$⫳≱↱$3626$)⩧⪆($2009$⊪))⇞)","expression":"((⋰*⋻1A04⨔⇊⋰*⋻A42)⋩≍≻)∌((↥⋰*⋻1739)⋘⨑⨽)≧⫂∧(((⋰*⋻346A⫳≱↱⋰*⋻27A7)⩧⪆(⋰*⋻1567⊪))⇞)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":428,"operation_count":10,"complexity_ratio":42.8,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2545,"base":11},"right_expr":{"type":"numeric_atoms","value":1256,"base":11}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2220,"base":11}}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4553,"base":11},"right_expr":{"type":"numeric_atoms","value":3626,"base":11}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2009,"base":11}}}}},"used_operators":["Ph9nP6C5qx","8cLx32lpNA","WYd1w68Nbz","JclMnS0uGI","WmT3o8z6ya","A8NUZmVepG","5JYyxRJd4f","Ikt5ks8PT7","ZvLB05nZmT","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⋰*⋻3A9","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2545","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=2545, right_input=1256, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1256","layer":3},{"info":"compute unary expreesion, input=1256, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":2},{"info":"number node, value=2220","layer":4},{"info":"compute unary expreesion, input=2220, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":3},{"info":"compute unary expreesion, input=27, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=918","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=918, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-55","layer":1},{"info":"number node, value=4553","layer":4},{"info":"number node, value=3626","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=3626, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2009","layer":4},{"info":"compute unary expreesion, input=2009, 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=-204, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=-537, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=482","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1A04⨔⇊⋰*⋻A42)⋩≍≻)∌((↥⋰*⋻1739)⋘⨑⨽)≧⫂∧(((⋰*⋻346A⫳≱↱⋰*⋻27A7)⩧⪆(⋰*⋻1567⊪))⇞)=⋰*⋻3A9","reverse_text":"⋰*⋻3A9=((⋰*⋻1A04⨔⇊⋰*⋻A42)⋩≍≻)∌((↥⋰*⋻1739)⋘⨑⨽)≧⫂∧(((⋰*⋻346A⫳≱↱⋰*⋻27A7)⩧⪆(⋰*⋻1567⊪))⇞)","cot":[{"info":"⋰*⋻1A04⨔⇊⋰*⋻A42=⋰*⋻A42","layer":3},{"info":"⋰*⋻A42⋩≍≻=⋰*⋻-50","layer":2},{"info":"↥⋰*⋻1739=⋰*⋻25","layer":3},{"info":"⋰*⋻25⋘⨑⨽=⋰*⋻765","layer":2},{"info":"⋰*⋻-50∌⋰*⋻765=⋰*⋻-50","layer":1},{"info":"⋰*⋻346A⫳≱↱⋰*⋻27A7=⋰*⋻-176","layer":3},{"info":"⋰*⋻1567⊪=⋰*⋻0","layer":3},{"info":"⋰*⋻-176⩧⪆⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0⇞=⋰*⋻-449","layer":1},{"info":"⋰*⋻-50≧⫂∧⋰*⋻-449=⋰*⋻3A9","layer":0}]}
{"id":653,"expression_no_base_symbol":"((↓⇌(⩦⊞$1216$))⨎⋸⪻)≀⩗∶((⪨⨬(⩦⩻⨪$2801$))⨘⋶⪀)","expression":"((↓⇌(⩦⊞⋰*⋻A06))⨎⋸⪻)≀⩗∶((⪨⨬(⩦⩻⨪⋰*⋻2117))⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":138,"operation_count":7,"complexity_ratio":19.714285714285715,"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":1216,"base":11}}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2801,"base":11}}}}},"used_operators":["8INZBEW696","Dk5vyLCiGd","PxpmPgHHJV","u7fv1HBiaC","XVKwrhznBb","5obUd6DV38","2td37pGCOC"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","IWmyXbctLI","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":4},{"info":"compute unary expreesion, input=1216, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-943","layer":3},{"info":"compute unary expreesion, input=-943, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-1886","layer":2},{"info":"compute unary expreesion, input=-1886, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-3456","layer":1},{"info":"number node, value=2801","layer":4},{"info":"compute unary expreesion, input=2801, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2801","layer":3},{"info":"compute unary expreesion, input=2801, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute unary expreesion, input=-526, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3456, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↓⇌(⩦⊞⋰*⋻A06))⨎⋸⪻)≀⩗∶((⪨⨬(⩦⩻⨪⋰*⋻2117))⨘⋶⪀)=NaN","reverse_text":"NaN=((↓⇌(⩦⊞⋰*⋻A06))⨎⋸⪻)≀⩗∶((⪨⨬(⩦⩻⨪⋰*⋻2117))⨘⋶⪀)","cot":[{"info":"⩦⊞⋰*⋻A06=⋰*⋻-788","layer":3},{"info":"↓⇌⋰*⋻-788=⋰*⋻-1465","layer":2},{"info":"⋰*⋻-1465⨎⋸⪻=⋰*⋻-2662","layer":1},{"info":"⩦⩻⨪⋰*⋻2117=⋰*⋻2117","layer":3},{"info":"⪨⨬⋰*⋻2117=⋰*⋻-439","layer":2},{"info":"⋰*⋻-439⨘⋶⪀=NaN","layer":1},{"info":"⋰*⋻-2662≀⩗∶NaN=NaN","layer":0}]}
{"id":654,"expression_no_base_symbol":"((⊊≼∋($5349$⊢$1859$))∋(($1187$⪬∳)∌↝(⊈$1452$)))∴(($1439$⪕$3181$)⨐($1176$⨔≚≋$1739$)∛($6076$⊋≦⊧$2433$)⨿($1582$*$5575$))","expression":"((⊊≼∋(⋰*⋻4023⊢⋰*⋻1440))∋((⋰*⋻98A⪬∳)∌↝(⊈⋰*⋻1100)))∴((⋰*⋻1099⪕⋰*⋻2432)⨐(⋰*⋻97A⨔≚≋⋰*⋻1341)∛(⋰*⋻4624⊋≦⊧⋰*⋻1912)⨿(⋰*⋻1209*⋰*⋻4209))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19863,"operation_count":14,"complexity_ratio":1418.7857142857142,"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":5349,"base":11},"right_expr":{"type":"numeric_atoms","value":1859,"base":11}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1187,"base":11}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1452,"base":11}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1439,"base":11},"right_expr":{"type":"numeric_atoms","value":3181,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1176,"base":11},"right_expr":{"type":"numeric_atoms","value":1739,"base":11}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":6076,"base":11},"right_expr":{"type":"numeric_atoms","value":2433,"base":11}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1582,"base":11},"right_expr":{"type":"numeric_atoms","value":5575,"base":11}}}}},"used_operators":["hrf7POJlIJ","ukq6epAj5P","FWz7pXsQhA","5twsqlHp2o","9Isq31Ruls","O9U3z1385E","RHru8klgy8","w2537kitQq","Noe24qw2ks","umQnsF7QlU","Z57zeUYC9z","abYXlopdE0","oRDoc9rAEX","9HNa5Wba9A"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","B5M0gjZbta","jCPkEVoL5K","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","12rbrZMWeM","xUOZtlo3hN","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5349","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=5349, right_input=1859, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10942","layer":3},{"info":"compute unary expreesion, input=-10942, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1626","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=-1626, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-709, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"number node, value=1439","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=3181, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=598","layer":3},{"info":"number node, value=1176","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1739, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=598, right_input=9872, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1196","layer":2},{"info":"number node, value=6076","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=6076, right_input=2433, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4626","layer":3},{"info":"number node, value=1582","layer":4},{"info":"number node, value=5575","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=5575, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8819650","layer":3},{"info":"compute binary expreesion, left_input=-4626, right_input=8819650, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1196, right_input=67, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⊊≼∋(⋰*⋻4023⊢⋰*⋻1440))∋((⋰*⋻98A⪬∳)∌↝(⊈⋰*⋻1100)))∴((⋰*⋻1099⪕⋰*⋻2432)⨐(⋰*⋻97A⨔≚≋⋰*⋻1341)∛(⋰*⋻4624⊋≦⊧⋰*⋻1912)⨿(⋰*⋻1209*⋰*⋻4209))=NaN","reverse_text":"NaN=((⊊≼∋(⋰*⋻4023⊢⋰*⋻1440))∋((⋰*⋻98A⪬∳)∌↝(⊈⋰*⋻1100)))∴((⋰*⋻1099⪕⋰*⋻2432)⨐(⋰*⋻97A⨔≚≋⋰*⋻1341)∛(⋰*⋻4624⊋≦⊧⋰*⋻1912)⨿(⋰*⋻1209*⋰*⋻4209))","cot":[{"info":"⋰*⋻4023⊢⋰*⋻1440=⋰*⋻-8248","layer":3},{"info":"⊊≼∋⋰*⋻-8248=NaN","layer":2},{"info":"⋰*⋻98A⪬∳=⋰*⋻-595","layer":3},{"info":"⊈⋰*⋻1100=⋰*⋻-1249","layer":3},{"info":"⋰*⋻-595∌↝⋰*⋻-1249=⋰*⋻-595","layer":2},{"info":"NaN∋⋰*⋻-595=NaN","layer":1},{"info":"⋰*⋻1099⪕⋰*⋻2432=⋰*⋻4A4","layer":3},{"info":"⋰*⋻97A⨔≚≋⋰*⋻1341=⋰*⋻7465","layer":3},{"info":"⋰*⋻4A4⨐⋰*⋻7465=⋰*⋻-998","layer":2},{"info":"⋰*⋻4624⊋≦⊧⋰*⋻1912=⋰*⋻-3526","layer":3},{"info":"⋰*⋻1209*⋰*⋻4209=⋰*⋻4A84374","layer":3},{"info":"⋰*⋻-3526⨿⋰*⋻4A84374=⋰*⋻61","layer":2},{"info":"⋰*⋻-998∛⋰*⋻61=⋰*⋻61","layer":1},{"info":"NaN∴⋰*⋻61=NaN","layer":0}]}
{"id":655,"expression_no_base_symbol":"((≸≮$1943$)≄⊠($6165$⊓⋫)≀⩗∶(⊖$3007$)↢$1180$⨽∌$1191$)↓(($2180$⫰⋱$1689$)⨘)↢(($1096$≧⫂∧$9211$)⫍⨯↯)","expression":"((≸≮⋰*⋻1507)≄⊠(⋰*⋻46A5⊓⋫)≀⩗∶(⊖⋰*⋻2294)↢⋰*⋻983⨽∌⋰*⋻993)↓((⋰*⋻1702⫰⋱⋰*⋻12A6)⨘)↢((⋰*⋻907≧⫂∧⋰*⋻6A14)⫍⨯↯)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":211359,"operation_count":13,"complexity_ratio":16258.384615384615,"tree":{"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":11}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":6165,"base":11}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3007,"base":11}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1180,"base":11},"right_expr":{"type":"numeric_atoms","value":1191,"base":11}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2180,"base":11},"right_expr":{"type":"numeric_atoms","value":1689,"base":11}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1096,"base":11},"right_expr":{"type":"numeric_atoms","value":9211,"base":11}}}}},"used_operators":["Af076pWI7l","8INZBEW696","vXNesLlMH1","AljMvE3RRm","IqGBaFP0uj","WR6HLWljOP","U6pG0PXrV3","9samAPKr6k","ljcfZBUpm8","6o9Blt3TJ6","ZcwmYACASQ","Ph9nP6C5qx"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1943","layer":4},{"info":"compute unary expreesion, input=1943, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=6165","layer":4},{"info":"compute unary expreesion, input=6165, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-6293","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6293, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=3007","layer":4},{"info":"compute unary expreesion, input=3007, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=1191, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-484, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":1},{"info":"number node, value=2180","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=1689, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2147","layer":3},{"info":"compute unary expreesion, input=-2147, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-15804","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=9211","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=9211, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8738","layer":3},{"info":"compute unary expreesion, input=8738, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=8705","layer":2},{"info":"compute binary expreesion, left_input=-15804, right_input=8705, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-14198","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=-14198, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":11,"result_base":11,"text":"((≸≮⋰*⋻1507)≄⊠(⋰*⋻46A5⊓⋫)≀⩗∶(⊖⋰*⋻2294)↢⋰*⋻983⨽∌⋰*⋻993)↓((⋰*⋻1702⫰⋱⋰*⋻12A6)⨘)↢((⋰*⋻907≧⫂∧⋰*⋻6A14)⫍⨯↯)=⋰*⋻-112","reverse_text":"⋰*⋻-112=((≸≮⋰*⋻1507)≄⊠(⋰*⋻46A5⊓⋫)≀⩗∶(⊖⋰*⋻2294)↢⋰*⋻983⨽∌⋰*⋻993)↓((⋰*⋻1702⫰⋱⋰*⋻12A6)⨘)↢((⋰*⋻907≧⫂∧⋰*⋻6A14)⫍⨯↯)","cot":[{"info":"≸≮⋰*⋻1507=NaN","layer":3},{"info":"⋰*⋻46A5⊓⋫=⋰*⋻-4801","layer":3},{"info":"NaN≄⊠⋰*⋻-4801=⋰*⋻1144","layer":2},{"info":"⊖⋰*⋻2294=⋰*⋻0","layer":3},{"info":"⋰*⋻983⨽∌⋰*⋻993=⋰*⋻0","layer":3},{"info":"⋰*⋻0↢⋰*⋻0=⋰*⋻-400","layer":2},{"info":"⋰*⋻1144≀⩗∶⋰*⋻-400=⋰*⋻3","layer":1},{"info":"⋰*⋻1702⫰⋱⋰*⋻12A6=⋰*⋻-1682","layer":3},{"info":"⋰*⋻-1682⨘=⋰*⋻-10968","layer":2},{"info":"⋰*⋻907≧⫂∧⋰*⋻6A14=⋰*⋻6624","layer":3},{"info":"⋰*⋻6624⫍⨯↯=⋰*⋻65A4","layer":2},{"info":"⋰*⋻-10968↢⋰*⋻65A4=⋰*⋻-A738","layer":1},{"info":"⋰*⋻3↓⋰*⋻-A738=⋰*⋻-112","layer":0}]}
{"id":656,"expression_no_base_symbol":"(⨙⪌(⇵⪽($2285$⫌⩉⩟$2791$)))⩇∃⫛((∂⩏⊆$1283$∋$2354$)⩒⫫($6095$↢$1303$⇋≉))","expression":"(⨙⪌(⇵⪽(⋰*⋻1798⫌⩉⩟⋰*⋻2108)))⩇∃⫛((∂⩏⊆⋰*⋻A67∋⋰*⋻1850)⩒⫫(⋰*⋻4641↢⋰*⋻A85⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16464,"operation_count":9,"complexity_ratio":1829.3333333333333,"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":2285,"base":11},"right_expr":{"type":"numeric_atoms","value":2791,"base":11}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1283,"base":11},"right_expr":{"type":"numeric_atoms","value":2354,"base":11}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":6095,"base":11},"right_expr":{"type":"numeric_atoms","value":1303,"base":11}}}}},"used_operators":["1aApVXNlOP","vEGLkm4Z2k","ZGCBLdVRRX","XIIwhv8d0m","KFSx94NKJn","8WDwsbhb0R","ukq6epAj5P","XIabStNQrY","WR6HLWljOP"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","U7g4x0WXJJ","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","14qkJME0vr","eLAdDNolq6","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2285","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=2791, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":1},{"info":"number node, value=1283","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=2354, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4890532","layer":3},{"info":"compute unary expreesion, input=4890532, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-14671675","layer":2},{"info":"number node, value=6095","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=6095, right_input=1303, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5611","layer":3},{"info":"compute unary expreesion, input=5611, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=11124","layer":2},{"info":"compute binary expreesion, left_input=-14671675, right_input=11124, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨙⪌(⇵⪽(⋰*⋻1798⫌⩉⩟⋰*⋻2108)))⩇∃⫛((∂⩏⊆⋰*⋻A67∋⋰*⋻1850)⩒⫫(⋰*⋻4641↢⋰*⋻A85⇋≉))=NaN","reverse_text":"NaN=(⨙⪌(⇵⪽(⋰*⋻1798⫌⩉⩟⋰*⋻2108)))⩇∃⫛((∂⩏⊆⋰*⋻A67∋⋰*⋻1850)⩒⫫(⋰*⋻4641↢⋰*⋻A85⇋≉))","cot":[{"info":"⋰*⋻1798⫌⩉⩟⋰*⋻2108=⋰*⋻-46","layer":3},{"info":"⇵⪽⋰*⋻-46=NaN","layer":2},{"info":"⨙⪌NaN=NaN","layer":1},{"info":"⋰*⋻A67∋⋰*⋻1850=⋰*⋻2840369","layer":3},{"info":"∂⩏⊆⋰*⋻2840369=⋰*⋻-8311057","layer":2},{"info":"⋰*⋻4641↢⋰*⋻A85=⋰*⋻4241","layer":3},{"info":"⋰*⋻4241⇋≉=⋰*⋻83A3","layer":2},{"info":"⋰*⋻-8311057⩒⫫⋰*⋻83A3=⋰*⋻136","layer":1},{"info":"NaN⩇∃⫛⋰*⋻136=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"(≑⋹$2620$↤⩊$3203$)⨸(($1759$⪛$7576$)⇍⊗($6949$⇄$2209$))∌↝(($7261$↡⊰⫅$2866$)≒∊($1421$⋫)⫦⪉$1457$⋝⋈⪟$7713$≎⊠⪸$1962$↳∿⪆$2613$)","expression":"(≑⋹⋰*⋻1A72↤⩊⋰*⋻2452)⨸((⋰*⋻135A⪛⋰*⋻5768)⇍⊗(⋰*⋻5248⇄⋰*⋻1729))∌↝((⋰*⋻5501↡⊰⫅⋰*⋻2176)≒∊(⋰*⋻1082⋫)⫦⪉⋰*⋻1105⋝⋈⪟⋰*⋻5882≎⊠⪸⋰*⋻1524↳∿⪆⋰*⋻1A66)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":44866,"operation_count":14,"complexity_ratio":3204.714285714286,"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":2620,"base":11},"right_expr":{"type":"numeric_atoms","value":3203,"base":11}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1759,"base":11},"right_expr":{"type":"numeric_atoms","value":7576,"base":11}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":6949,"base":11},"right_expr":{"type":"numeric_atoms","value":2209,"base":11}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":7261,"base":11},"right_expr":{"type":"numeric_atoms","value":2866,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1421,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1457,"base":11},"right_expr":{"type":"numeric_atoms","value":7713,"base":11}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1962,"base":11},"right_expr":{"type":"numeric_atoms","value":2613,"base":11}}}}},"used_operators":["9Isq31Ruls","KmoU8R5UQR","6B9nyZLogK","13rbtpv6ld","5uvYHDjeKN","uFcxV4UQCh","3EYGwJThht","wscyQdcy20","5KTvxBwnZo","VCtxkLNOzz","JL8yIekQnl","bJkvcejdHO","2DDjHMKMc0","Cw4SuJJGHO"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2620","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=3203, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":2},{"info":"number node, value=1759","layer":4},{"info":"number node, value=7576","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=7576, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1759","layer":3},{"info":"number node, value=6949","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=6949, right_input=2209, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1759, right_input=0, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"number node, value=7261","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=7261, right_input=2866, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5732","layer":3},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1421","layer":3},{"info":"compute binary expreesion, left_input=5732, right_input=1421, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5248","layer":2},{"info":"number node, value=1457","layer":4},{"info":"number node, value=7713","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=7713, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1457","layer":3},{"info":"number node, value=1962","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=2613, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1457, 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=-5248, right_input=67, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=14334","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14334, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≑⋹⋰*⋻1A72↤⩊⋰*⋻2452)⨸((⋰*⋻135A⪛⋰*⋻5768)⇍⊗(⋰*⋻5248⇄⋰*⋻1729))∌↝((⋰*⋻5501↡⊰⫅⋰*⋻2176)≒∊(⋰*⋻1082⋫)⫦⪉⋰*⋻1105⋝⋈⪟⋰*⋻5882≎⊠⪸⋰*⋻1524↳∿⪆⋰*⋻1A66)=NaN","reverse_text":"NaN=(≑⋹⋰*⋻1A72↤⩊⋰*⋻2452)⨸((⋰*⋻135A⪛⋰*⋻5768)⇍⊗(⋰*⋻5248⇄⋰*⋻1729))∌↝((⋰*⋻5501↡⊰⫅⋰*⋻2176)≒∊(⋰*⋻1082⋫)⫦⪉⋰*⋻1105⋝⋈⪟⋰*⋻5882≎⊠⪸⋰*⋻1524↳∿⪆⋰*⋻1A66)","cot":[{"info":"⋰*⋻1A72↤⩊⋰*⋻2452=NaN","layer":3},{"info":"≑⋹NaN=NaN","layer":2},{"info":"⋰*⋻135A⪛⋰*⋻5768=⋰*⋻135A","layer":3},{"info":"⋰*⋻5248⇄⋰*⋻1729=⋰*⋻0","layer":3},{"info":"⋰*⋻135A⇍⊗⋰*⋻0=⋰*⋻-202","layer":2},{"info":"NaN⨸⋰*⋻-202=NaN","layer":1},{"info":"⋰*⋻5501↡⊰⫅⋰*⋻2176=⋰*⋻4341","layer":3},{"info":"⋰*⋻1082⋫=⋰*⋻1082","layer":3},{"info":"⋰*⋻4341≒∊⋰*⋻1082=⋰*⋻-3A41","layer":2},{"info":"⋰*⋻1105⋝⋈⪟⋰*⋻5882=⋰*⋻1105","layer":3},{"info":"⋰*⋻1524↳∿⪆⋰*⋻1A66=NaN","layer":3},{"info":"⋰*⋻1105≎⊠⪸NaN=⋰*⋻61","layer":2},{"info":"⋰*⋻-3A41⫦⪉⋰*⋻61=⋰*⋻A851","layer":1},{"info":"NaN∌↝⋰*⋻A851=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"⊗(($5444$⨑⩅≇$4995$⊋≦⊧($2216$⊫∞))⪒⊣⊆($5131$%$1682$)∓⋝(⩦⊞$8662$))","expression":"⊗((⋰*⋻40AA⨑⩅≇⋰*⋻3831⊋≦⊧(⋰*⋻1735⊫∞))⪒⊣⊆(⋰*⋻3945%⋰*⋻129A)∓⋝(⩦⊞⋰*⋻6565))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28259,"operation_count":8,"complexity_ratio":3532.375,"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":5444,"base":11},"right_expr":{"type":"numeric_atoms","value":4995,"base":11}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":2216,"base":11}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5131,"base":11},"right_expr":{"type":"numeric_atoms","value":1682,"base":11}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":8662,"base":11}}}}},"used_operators":["RhiyfpczSx","eRqsBgTDFp","oRDoc9rAEX","h92wMvzauj","pABnYW3G3E","PoHhknlbAi","k8jYdgA6NY","u7fv1HBiaC"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","sdazOOVcIp","W4YGzv6Whe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⋰*⋻-639","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5444","layer":4},{"info":"number node, value=4995","layer":4},{"info":"compute binary expreesion, left_input=5444, right_input=4995, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-16332","layer":3},{"info":"number node, value=2216","layer":4},{"info":"compute unary expreesion, input=2216, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-16332, right_input=0, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=5131","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=5131, right_input=1682, op_id = k8jYdgA6NY binary_op_definition= 'None', output=85","layer":3},{"info":"number node, value=8662","layer":4},{"info":"compute unary expreesion, input=8662, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-8389","layer":3},{"info":"compute binary expreesion, left_input=85, right_input=-8389, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=95","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=95, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=384","layer":1},{"info":"compute unary expreesion, input=384, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-768","layer":0}],"base":11,"result_base":11,"text":"⊗((⋰*⋻40AA⨑⩅≇⋰*⋻3831⊋≦⊧(⋰*⋻1735⊫∞))⪒⊣⊆(⋰*⋻3945%⋰*⋻129A)∓⋝(⩦⊞⋰*⋻6565))=⋰*⋻-639","reverse_text":"⋰*⋻-639=⊗((⋰*⋻40AA⨑⩅≇⋰*⋻3831⊋≦⊧(⋰*⋻1735⊫∞))⪒⊣⊆(⋰*⋻3945%⋰*⋻129A)∓⋝(⩦⊞⋰*⋻6565))","cot":[{"info":"⋰*⋻40AA⨑⩅≇⋰*⋻3831=⋰*⋻-112A8","layer":3},{"info":"⋰*⋻1735⊫∞=⋰*⋻0","layer":3},{"info":"⋰*⋻-112A8⊋≦⊧⋰*⋻0=⋰*⋻165","layer":2},{"info":"⋰*⋻3945%⋰*⋻129A=⋰*⋻78","layer":3},{"info":"⩦⊞⋰*⋻6565=⋰*⋻-6337","layer":3},{"info":"⋰*⋻78∓⋝⋰*⋻-6337=⋰*⋻87","layer":2},{"info":"⋰*⋻165⪒⊣⊆⋰*⋻87=⋰*⋻31A","layer":1},{"info":"⊗⋰*⋻31A=⋰*⋻-639","layer":0}]}
{"id":659,"expression_no_base_symbol":"(($3832$⋅⇍$2876$≓∲$6360$⋣⋖$1439$)⇄($2309$⇽⩪)≝⊿($2201$⩒⫫$1872$))⫠↝⫳","expression":"((⋰*⋻2974⋅⇍⋰*⋻2185≓∲⋰*⋻4862⋣⋖⋰*⋻1099)⇄(⋰*⋻180A⇽⩪)≝⊿(⋰*⋻1721⩒⫫⋰*⋻1452))⫠↝⫳","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":138,"operation_count":8,"complexity_ratio":17.25,"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":3832,"base":11},"right_expr":{"type":"numeric_atoms","value":2876,"base":11}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6360,"base":11},"right_expr":{"type":"numeric_atoms","value":1439,"base":11}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":2309,"base":11}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2201,"base":11},"right_expr":{"type":"numeric_atoms","value":1872,"base":11}}}}},"used_operators":["8n5YIzOsVS","3EYGwJThht","s1XTVnmDOJ","AdZkA7nFnk","J0M6qkBnIM","OKKcZfAt5B","FonBHBYJbU","KFSx94NKJn"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","12rbrZMWeM","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⋰*⋻517","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3832","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=2876, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=6360","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=6360, right_input=1439, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6360","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=6360, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=563","layer":2},{"info":"number node, value=2309","layer":4},{"info":"compute unary expreesion, input=2309, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=5140","layer":3},{"info":"number node, value=2201","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=1872, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1899","layer":3},{"info":"compute binary expreesion, left_input=5140, right_input=1899, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9471","layer":2},{"info":"compute binary expreesion, left_input=563, right_input=-9471, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=623","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2974⋅⇍⋰*⋻2185≓∲⋰*⋻4862⋣⋖⋰*⋻1099)⇄(⋰*⋻180A⇽⩪)≝⊿(⋰*⋻1721⩒⫫⋰*⋻1452))⫠↝⫳=⋰*⋻517","reverse_text":"⋰*⋻517=((⋰*⋻2974⋅⇍⋰*⋻2185≓∲⋰*⋻4862⋣⋖⋰*⋻1099)⇄(⋰*⋻180A⇽⩪)≝⊿(⋰*⋻1721⩒⫫⋰*⋻1452))⫠↝⫳","cot":[{"info":"⋰*⋻2974⋅⇍⋰*⋻2185=⋰*⋻-20","layer":3},{"info":"⋰*⋻4862⋣⋖⋰*⋻1099=⋰*⋻4862","layer":3},{"info":"⋰*⋻-20≓∲⋰*⋻4862=⋰*⋻472","layer":2},{"info":"⋰*⋻180A⇽⩪=⋰*⋻3953","layer":3},{"info":"⋰*⋻1721⩒⫫⋰*⋻1452=⋰*⋻1477","layer":3},{"info":"⋰*⋻3953≝⊿⋰*⋻1477=⋰*⋻-7130","layer":2},{"info":"⋰*⋻472⇄⋰*⋻-7130=⋰*⋻0","layer":1},{"info":"⋰*⋻0⫠↝⫳=⋰*⋻517","layer":0}]}
{"id":660,"expression_no_base_symbol":"(((⪓⩚$2623$)⫚↹⊑(⇺⋃$1462$))∌↝($1986$⋹⋡⊁$4469$⨎$3130$⨚⇆$2045$))≁((⪨⨬($7071$→⨶⪴$2420$))⋣⋖($3243$⨵⪆$4414$)⋕⪉⪜$3246$⫁$1586$)","expression":"(((⪓⩚⋰*⋻1A75)⫚↹⊑(⇺⋃⋰*⋻110A))∌↝(⋰*⋻1546⋹⋡⊁⋰*⋻33A3⨎⋰*⋻2396⨚⇆⋰*⋻159A))≁((⪨⨬(⋰*⋻5349→⨶⪴⋰*⋻1900))⋣⋖(⋰*⋻2489⨵⪆⋰*⋻3353)⋕⪉⪜⋰*⋻2491⫁⋰*⋻1212)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":88157,"operation_count":14,"complexity_ratio":6296.928571428572,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2623,"base":11}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1462,"base":11}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1986,"base":11},"right_expr":{"type":"numeric_atoms","value":4469,"base":11}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3130,"base":11},"right_expr":{"type":"numeric_atoms","value":2045,"base":11}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":7071,"base":11},"right_expr":{"type":"numeric_atoms","value":2420,"base":11}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3243,"base":11},"right_expr":{"type":"numeric_atoms","value":4414,"base":11}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3246,"base":11},"right_expr":{"type":"numeric_atoms","value":1586,"base":11}}}}},"used_operators":["8N2wDY1A35","9Isq31Ruls","dfKe02y8D2","u0R0Locfp2","E5v5B3UAjG","rJVOvQCfKK","As8RqfVLgs","lwHaAYXP2r","J0M6qkBnIM","5obUd6DV38","bF6eod5Gvf","z6LnFrNh4i","2DQ55sFlQl","0ajvFaJAv0"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","T2fj7uvVaJ","nlCqmYiOvY","8w2t5hMYqp","9FxExcQeMw","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⋰*⋻-17A45","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2623","layer":4},{"info":"compute unary expreesion, input=2623, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1986","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=4469, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5219","layer":3},{"info":"number node, value=3130","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=3130, right_input=2045, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5219, 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=-447, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-894","layer":1},{"info":"number node, value=7071","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=7071, right_input=2420, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7260","layer":3},{"info":"compute unary expreesion, input=-7260, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"number node, value=3243","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=4414, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3246","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=1586, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=-526, right_input=2802, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=-894, right_input=-526, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-25217","layer":0}],"base":11,"result_base":11,"text":"(((⪓⩚⋰*⋻1A75)⫚↹⊑(⇺⋃⋰*⋻110A))∌↝(⋰*⋻1546⋹⋡⊁⋰*⋻33A3⨎⋰*⋻2396⨚⇆⋰*⋻159A))≁((⪨⨬(⋰*⋻5349→⨶⪴⋰*⋻1900))⋣⋖(⋰*⋻2489⨵⪆⋰*⋻3353)⋕⪉⪜⋰*⋻2491⫁⋰*⋻1212)=⋰*⋻-17A45","reverse_text":"⋰*⋻-17A45=(((⪓⩚⋰*⋻1A75)⫚↹⊑(⇺⋃⋰*⋻110A))∌↝(⋰*⋻1546⋹⋡⊁⋰*⋻33A3⨎⋰*⋻2396⨚⇆⋰*⋻159A))≁((⪨⨬(⋰*⋻5349→⨶⪴⋰*⋻1900))⋣⋖(⋰*⋻2489⨵⪆⋰*⋻3353)⋕⪉⪜⋰*⋻2491⫁⋰*⋻1212)","cot":[{"info":"⪓⩚⋰*⋻1A75=⋰*⋻358","layer":3},{"info":"⇺⋃⋰*⋻110A=NaN","layer":3},{"info":"⋰*⋻358⫚↹⊑NaN=⋰*⋻-377","layer":2},{"info":"⋰*⋻1546⋹⋡⊁⋰*⋻33A3=⋰*⋻3A15","layer":3},{"info":"⋰*⋻2396⨚⇆⋰*⋻159A=NaN","layer":3},{"info":"⋰*⋻3A15⨎NaN=NaN","layer":2},{"info":"⋰*⋻-377∌↝NaN=⋰*⋻-743","layer":1},{"info":"⋰*⋻5349→⨶⪴⋰*⋻1900=⋰*⋻-5500","layer":3},{"info":"⪨⨬⋰*⋻-5500=⋰*⋻-439","layer":2},{"info":"⋰*⋻2489⨵⪆⋰*⋻3353=⋰*⋻136","layer":3},{"info":"⋰*⋻2491⫁⋰*⋻1212=⋰*⋻136","layer":3},{"info":"⋰*⋻136⋕⪉⪜⋰*⋻136=⋰*⋻2118","layer":2},{"info":"⋰*⋻-439⋣⋖⋰*⋻2118=⋰*⋻-439","layer":1},{"info":"⋰*⋻-743≁⋰*⋻-439=⋰*⋻-17A45","layer":0}]}
{"id":661,"expression_no_base_symbol":"($3823$≀⫉$1232$⪑⩈)∼($3816$⇣⩺⋵$7779$)⋕⪉⪜($5268$⨸$1812$)⊍⩺⋍(⪫⨮⊛(⇺⋃$3741$))∋(($1455$⪄$1044$)↡⊰⫅$2332$⇌⫙⪟$2563$)","expression":"(⋰*⋻2966≀⫉⋰*⋻A20⪑⩈)∼(⋰*⋻295A⇣⩺⋵⋰*⋻5932)⋕⪉⪜(⋰*⋻3A5A⨸⋰*⋻13A8)⊍⩺⋍(⪫⨮⊛(⇺⋃⋰*⋻28A1))∋((⋰*⋻1103⪄⋰*⋻86A)↡⊰⫅⋰*⋻1830⇌⫙⪟⋰*⋻1A20)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24160,"operation_count":13,"complexity_ratio":1858.4615384615386,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3823,"base":11},"right_expr":{"type":"numeric_atoms","value":1232,"base":11}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3816,"base":11},"right_expr":{"type":"numeric_atoms","value":7779,"base":11}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5268,"base":11},"right_expr":{"type":"numeric_atoms","value":1812,"base":11}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":3741,"base":11}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1455,"base":11},"right_expr":{"type":"numeric_atoms","value":1044,"base":11}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2332,"base":11},"right_expr":{"type":"numeric_atoms","value":2563,"base":11}}}}},"used_operators":["OXDGMFPWZM","DyGG3AbaNP","C6VvDP6HwP","oZj3VtZNQx","z6LnFrNh4i","F4yD0voBRQ","KmoU8R5UQR","ukq6epAj5P","w5FWba1tyO","E5v5B3UAjG","VCtxkLNOzz","SUmda5xLS4","AFVx7xoS7T"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3823","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=3823, right_input=1232, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=21344","layer":2},{"info":"number node, value=3816","layer":4},{"info":"number node, value=7779","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=7779, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=5268","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=5268, right_input=1812, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10536","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=10536, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=21344, right_input=204, 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=3741","layer":4},{"info":"compute unary expreesion, input=3741, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=1455","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=1044, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-215605","layer":3},{"info":"number node, value=2332","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=2563, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-215605, right_input=113, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=226","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=226, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2966≀⫉⋰*⋻A20⪑⩈)∼(⋰*⋻295A⇣⩺⋵⋰*⋻5932)⋕⪉⪜(⋰*⋻3A5A⨸⋰*⋻13A8)⊍⩺⋍(⪫⨮⊛(⇺⋃⋰*⋻28A1))∋((⋰*⋻1103⪄⋰*⋻86A)↡⊰⫅⋰*⋻1830⇌⫙⪟⋰*⋻1A20)=NaN","reverse_text":"NaN=(⋰*⋻2966≀⫉⋰*⋻A20⪑⩈)∼(⋰*⋻295A⇣⩺⋵⋰*⋻5932)⋕⪉⪜(⋰*⋻3A5A⨸⋰*⋻13A8)⊍⩺⋍(⪫⨮⊛(⇺⋃⋰*⋻28A1))∋((⋰*⋻1103⪄⋰*⋻86A)↡⊰⫅⋰*⋻1830⇌⫙⪟⋰*⋻1A20)","cot":[{"info":"⋰*⋻2966≀⫉⋰*⋻A20=⋰*⋻2136","layer":3},{"info":"⋰*⋻2136⪑⩈=⋰*⋻15044","layer":2},{"info":"⋰*⋻295A⇣⩺⋵⋰*⋻5932=⋰*⋻-217","layer":3},{"info":"⋰*⋻3A5A⨸⋰*⋻13A8=⋰*⋻7A09","layer":3},{"info":"⋰*⋻-217⋕⪉⪜⋰*⋻7A09=⋰*⋻176","layer":2},{"info":"⋰*⋻15044∼⋰*⋻176=⋰*⋻0","layer":1},{"info":"⇺⋃⋰*⋻28A1=NaN","layer":3},{"info":"⪫⨮⊛NaN=NaN","layer":2},{"info":"⋰*⋻1103⪄⋰*⋻86A=⋰*⋻-137A95","layer":3},{"info":"⋰*⋻1830⇌⫙⪟⋰*⋻1A20=⋰*⋻A3","layer":3},{"info":"⋰*⋻-137A95↡⊰⫅⋰*⋻A3=⋰*⋻196","layer":2},{"info":"NaN∋⋰*⋻196=NaN","layer":1},{"info":"⋰*⋻0⊍⩺⋍NaN=NaN","layer":0}]}
{"id":662,"expression_no_base_symbol":"⊬↢($7548$⪟⇏$1003$⫒⫫($2399$⋾⨃∁$5265$))⊕∕(($1328$≚⊃≕$4485$)⫁⪎$3654$⊢$5545$)","expression":"⊬↢(⋰*⋻5742⪟⇏⋰*⋻832⫒⫫(⋰*⋻1891⋾⨃∁⋰*⋻3A57))⊕∕((⋰*⋻AA8≚⊃≕⋰*⋻3408)⫁⪎⋰*⋻2822⊢⋰*⋻4191)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5553,"operation_count":8,"complexity_ratio":694.125,"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":7548,"base":11},"right_expr":{"type":"numeric_atoms","value":1003,"base":11}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2399,"base":11},"right_expr":{"type":"numeric_atoms","value":5265,"base":11}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1328,"base":11},"right_expr":{"type":"numeric_atoms","value":4485,"base":11}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3654,"base":11},"right_expr":{"type":"numeric_atoms","value":5545,"base":11}}}}},"used_operators":["WPoGxAaPR1","9cloC0Ngie","6Ko8hGgeMq","GODebY97qR","212REbPD9h","xRrnTEsQ6j","Bmrmz2XGnR","5twsqlHp2o"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⋰*⋻-A17","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7548","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=7548, right_input=1003, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2399","layer":4},{"info":"number node, value=5265","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=5265, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=277138976","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=277138976, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":2},{"info":"number node, value=1328","layer":4},{"info":"number node, value=4485","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=4485, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-14295","layer":3},{"info":"number node, value=3654","layer":4},{"info":"number node, value=5545","layer":4},{"info":"compute binary expreesion, left_input=3654, right_input=5545, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7552","layer":3},{"info":"compute binary expreesion, left_input=-14295, right_input=-7552, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-6743","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-6743, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-1228","layer":0}],"base":11,"result_base":11,"text":"⊬↢(⋰*⋻5742⪟⇏⋰*⋻832⫒⫫(⋰*⋻1891⋾⨃∁⋰*⋻3A57))⊕∕((⋰*⋻AA8≚⊃≕⋰*⋻3408)⫁⪎⋰*⋻2822⊢⋰*⋻4191)=⋰*⋻-A17","reverse_text":"⋰*⋻-A17=⊬↢(⋰*⋻5742⪟⇏⋰*⋻832⫒⫫(⋰*⋻1891⋾⨃∁⋰*⋻3A57))⊕∕((⋰*⋻AA8≚⊃≕⋰*⋻3408)⫁⪎⋰*⋻2822⊢⋰*⋻4191)","cot":[{"info":"⋰*⋻5742⪟⇏⋰*⋻832=⋰*⋻-1","layer":3},{"info":"⋰*⋻1891⋾⨃∁⋰*⋻3A57=⋰*⋻13248A684","layer":3},{"info":"⋰*⋻-1⫒⫫⋰*⋻13248A684=⋰*⋻A3","layer":2},{"info":"⋰*⋻AA8≚⊃≕⋰*⋻3408=⋰*⋻-A816","layer":3},{"info":"⋰*⋻2822⊢⋰*⋻4191=⋰*⋻-5746","layer":3},{"info":"⋰*⋻-A816⫁⪎⋰*⋻-5746=⋰*⋻-5080","layer":2},{"info":"⋰*⋻A3⊕∕⋰*⋻-5080=⋰*⋻A3","layer":1},{"info":"⊬↢⋰*⋻A3=⋰*⋻-A17","layer":0}]}
{"id":663,"expression_no_base_symbol":"(($4526$⇉⇉)⫁($1332$⇔⨋)%$5916$⩣⫁∢$5991$⩌⋺(∥⊫$3025$))⋅⇍($1660$⪶≀⋏$1002$⩤)⪃⊛⇣((↴⪽⋼$1296$)≎⪠($1045$⫔⩽⩺$4513$))","expression":"((⋰*⋻3445⇉⇉)⫁(⋰*⋻1001⇔⨋)%⋰*⋻4499⩣⫁∢⋰*⋻4557⩌⋺(∥⊫⋰*⋻2300))⋅⇍(⋰*⋻127A⪶≀⋏⋰*⋻831⩤)⪃⊛⇣((↴⪽⋼⋰*⋻A79)≎⪠(⋰*⋻870⫔⩽⩺⋰*⋻3433))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":19937,"operation_count":14,"complexity_ratio":1424.0714285714287,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":4526,"base":11}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1332,"base":11}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5916,"base":11},"right_expr":{"type":"numeric_atoms","value":5991,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3025,"base":11}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1660,"base":11},"right_expr":{"type":"numeric_atoms","value":1002,"base":11}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1296,"base":11}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1045,"base":11},"right_expr":{"type":"numeric_atoms","value":4513,"base":11}}}}},"used_operators":["AdZkA7nFnk","k8jYdgA6NY","0ajvFaJAv0","diKm42VcIt","uBihLCJcMX","g7Hmc5v1ko","JDUIKTTSIa","P8v4zCKN1o","rrgAzCduG9","Z2TMIBDE3Q","zR4jO40bMj","aNhz54LH3e","5TUYCnJO6w","i9eR4S00cU"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","cHh1gJQ2o6","AHs5Up7iyr","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","Tw270M8GLb","fu6greOZ01"],"result":"⋰*⋻-20","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4526","layer":4},{"info":"compute unary expreesion, input=4526, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-293024","layer":3},{"info":"number node, value=1332","layer":4},{"info":"compute unary expreesion, input=1332, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=6922","layer":3},{"info":"compute binary expreesion, left_input=-293024, right_input=6922, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=5916","layer":4},{"info":"number node, value=5991","layer":4},{"info":"compute binary expreesion, left_input=5916, right_input=5991, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11671","layer":3},{"info":"number node, value=3025","layer":4},{"info":"compute unary expreesion, input=3025, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3893","layer":3},{"info":"compute binary expreesion, left_input=-11671, right_input=3893, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=7657","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=7657, op_id = k8jYdgA6NY binary_op_definition= 'None', output=160","layer":1},{"info":"number node, value=1660","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1002, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7216","layer":3},{"info":"compute unary expreesion, input=-7216, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=7216","layer":2},{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1296","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=4513","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=4513, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1296, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=7216, right_input=19558, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1234, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3445⇉⇉)⫁(⋰*⋻1001⇔⨋)%⋰*⋻4499⩣⫁∢⋰*⋻4557⩌⋺(∥⊫⋰*⋻2300))⋅⇍(⋰*⋻127A⪶≀⋏⋰*⋻831⩤)⪃⊛⇣((↴⪽⋼⋰*⋻A79)≎⪠(⋰*⋻870⫔⩽⩺⋰*⋻3433))=⋰*⋻-20","reverse_text":"⋰*⋻-20=((⋰*⋻3445⇉⇉)⫁(⋰*⋻1001⇔⨋)%⋰*⋻4499⩣⫁∢⋰*⋻4557⩌⋺(∥⊫⋰*⋻2300))⋅⇍(⋰*⋻127A⪶≀⋏⋰*⋻831⩤)⪃⊛⇣((↴⪽⋼⋰*⋻A79)≎⪠(⋰*⋻870⫔⩽⩺⋰*⋻3433))","cot":[{"info":"⋰*⋻3445⇉⇉=⋰*⋻-190176","layer":3},{"info":"⋰*⋻1001⇔⨋=⋰*⋻5223","layer":3},{"info":"⋰*⋻-190176⫁⋰*⋻5223=⋰*⋻136","layer":2},{"info":"⋰*⋻4499⩣⫁∢⋰*⋻4557=⋰*⋻-8850","layer":3},{"info":"∥⊫⋰*⋻2300=⋰*⋻2A1A","layer":3},{"info":"⋰*⋻-8850⩌⋺⋰*⋻2A1A=⋰*⋻5831","layer":2},{"info":"⋰*⋻136%⋰*⋻5831=⋰*⋻136","layer":1},{"info":"⋰*⋻127A⪶≀⋏⋰*⋻831=⋰*⋻-5470","layer":3},{"info":"⋰*⋻-5470⩤=⋰*⋻5470","layer":2},{"info":"↴⪽⋼⋰*⋻A79=⋰*⋻A79","layer":3},{"info":"⋰*⋻870⫔⩽⩺⋰*⋻3433=NaN","layer":3},{"info":"⋰*⋻A79≎⪠NaN=⋰*⋻13770","layer":2},{"info":"⋰*⋻5470⪃⊛⇣⋰*⋻13770=⋰*⋻A22","layer":1},{"info":"⋰*⋻136⋅⇍⋰*⋻A22=⋰*⋻-20","layer":0}]}
{"id":664,"expression_no_base_symbol":"((($1422$∙⊟$2656$)⊀⩕)⩱)⫌⩉⩟((⪛⨧$8038$)⨽($3533$⨑≵⋬$1797$))⩷∴($2054$∠↢$3918$)⪮%⊝(⨭⩧⫛$2039$)","expression":"(((⋰*⋻1083∙⊟⋰*⋻1AA5)⊀⩕)⩱)⫌⩉⩟((⪛⨧⋰*⋻6048)⨽(⋰*⋻2722⨑≵⋬⋰*⋻1394))⩷∴(⋰*⋻15A8∠↢⋰*⋻2A42)⪮%⊝(⨭⩧⫛⋰*⋻1594)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20847,"operation_count":11,"complexity_ratio":1895.1818181818182,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1422,"base":11},"right_expr":{"type":"numeric_atoms","value":2656,"base":11}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":8038,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3533,"base":11},"right_expr":{"type":"numeric_atoms","value":1797,"base":11}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2054,"base":11},"right_expr":{"type":"numeric_atoms","value":3918,"base":11}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2039,"base":11}}}}},"used_operators":["XIIwhv8d0m","uyq1hVkAcj","r0FS3hW4cC","SxTAKzQCrw","9FxExcQeMw","8HhzD0ZcuI","6NJAcO2OWT","XnXgA4xnOs","IWmyXbctLI","KbjG8mgYpV","g21JL6JxX7"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","rGHVDoGpnC","nhYeJWJD5X","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"⋰*⋻-46","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1422","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=2656, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=28332","layer":3},{"info":"compute unary expreesion, input=28332, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-250","layer":1},{"info":"number node, value=8038","layer":4},{"info":"compute unary expreesion, input=8038, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=17477","layer":3},{"info":"number node, value=3533","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=1797, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=6465","layer":3},{"info":"compute binary expreesion, left_input=17477, right_input=6465, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-916354668","layer":2},{"info":"number node, value=2054","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=3918, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-61986","layer":3},{"info":"number node, value=2039","layer":4},{"info":"compute unary expreesion, input=2039, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-61986, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-916354668, 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=-250, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1083∙⊟⋰*⋻1AA5)⊀⩕)⩱)⫌⩉⩟((⪛⨧⋰*⋻6048)⨽(⋰*⋻2722⨑≵⋬⋰*⋻1394))⩷∴(⋰*⋻15A8∠↢⋰*⋻2A42)⪮%⊝(⨭⩧⫛⋰*⋻1594)=⋰*⋻-46","reverse_text":"⋰*⋻-46=(((⋰*⋻1083∙⊟⋰*⋻1AA5)⊀⩕)⩱)⫌⩉⩟((⪛⨧⋰*⋻6048)⨽(⋰*⋻2722⨑≵⋬⋰*⋻1394))⩷∴(⋰*⋻15A8∠↢⋰*⋻2A42)⪮%⊝(⨭⩧⫛⋰*⋻1594)","cot":[{"info":"⋰*⋻1083∙⊟⋰*⋻1AA5=⋰*⋻1A317","layer":3},{"info":"⋰*⋻1A317⊀⩕=⋰*⋻0","layer":2},{"info":"⋰*⋻0⩱=⋰*⋻-208","layer":1},{"info":"⪛⨧⋰*⋻6048=⋰*⋻12149","layer":3},{"info":"⋰*⋻2722⨑≵⋬⋰*⋻1394=⋰*⋻4948","layer":3},{"info":"⋰*⋻12149⨽⋰*⋻4948=⋰*⋻-430292909","layer":2},{"info":"⋰*⋻15A8∠↢⋰*⋻2A42=⋰*⋻-42631","layer":3},{"info":"⨭⩧⫛⋰*⋻1594=NaN","layer":3},{"info":"⋰*⋻-42631⪮%⊝NaN=NaN","layer":2},{"info":"⋰*⋻-430292909⩷∴NaN=NaN","layer":1},{"info":"⋰*⋻-208⫌⩉⩟NaN=⋰*⋻-46","layer":0}]}
{"id":665,"expression_no_base_symbol":"(⊖∈($4371$≁$1161$/$2540$⊋$3340$))⨜⨶(($2180$⪭$2089$)⇻⋧≁(⩒∊$3172$)≀⩗∶(⩏⊷≩$3329$)⫉⨲⊜($1978$⇷$2522$))","expression":"(⊖∈(⋰*⋻3314≁⋰*⋻966/⋰*⋻19AA⊋⋰*⋻2567))⨜⨶((⋰*⋻1702⪭⋰*⋻162A)⇻⋧≁(⩒∊⋰*⋻2424)≀⩗∶(⩏⊷≩⋰*⋻2557)⫉⨲⊜(⋰*⋻1539⇷⋰*⋻1993))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29488,"operation_count":12,"complexity_ratio":2457.3333333333335,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4371,"base":11},"right_expr":{"type":"numeric_atoms","value":1161,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2540,"base":11},"right_expr":{"type":"numeric_atoms","value":3340,"base":11}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2180,"base":11},"right_expr":{"type":"numeric_atoms","value":2089,"base":11}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":3172,"base":11}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":3329,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1978,"base":11},"right_expr":{"type":"numeric_atoms","value":2522,"base":11}}}}},"used_operators":["HiPekx5b7W","YFxL8Sc2Zy","XhwjNDsVaA","8N2wDY1A35","W4tP9CfskL","8INZBEW696","jCPkEVoL5K","j9kHMeSvPp","qazvmhNBbN","WhqkvtTD3t","uOZ1tnYMDE","mp7IySMOzn"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","COABgblf1C","xUOZtlo3hN","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eewbuw0ToL","zVYPLywUTj","23Mk6UjR3U","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋰*⋻-38655","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4371","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=1161, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=14663","layer":3},{"info":"number node, value=2540","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=3340, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-19843836","layer":3},{"info":"compute binary expreesion, left_input=14663, right_input=-19843836, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=-5614","layer":1},{"info":"number node, value=2180","layer":4},{"info":"number node, value=2089","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=2089, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3172","layer":4},{"info":"compute unary expreesion, input=3172, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=5587","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=5587, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=3329","layer":4},{"info":"compute unary expreesion, input=3329, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=6357","layer":3},{"info":"number node, value=1978","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1978, right_input=2522, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5044","layer":3},{"info":"compute binary expreesion, left_input=6357, right_input=5044, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-5614, right_input=0, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-55357","layer":0}],"base":11,"result_base":11,"text":"(⊖∈(⋰*⋻3314≁⋰*⋻966/⋰*⋻19AA⊋⋰*⋻2567))⨜⨶((⋰*⋻1702⪭⋰*⋻162A)⇻⋧≁(⩒∊⋰*⋻2424)≀⩗∶(⩏⊷≩⋰*⋻2557)⫉⨲⊜(⋰*⋻1539⇷⋰*⋻1993))=⋰*⋻-38655","reverse_text":"⋰*⋻-38655=(⊖∈(⋰*⋻3314≁⋰*⋻966/⋰*⋻19AA⊋⋰*⋻2567))⨜⨶((⋰*⋻1702⪭⋰*⋻162A)⇻⋧≁(⩒∊⋰*⋻2424)≀⩗∶(⩏⊷≩⋰*⋻2557)⫉⨲⊜(⋰*⋻1539⇷⋰*⋻1993))","cot":[{"info":"⋰*⋻3314≁⋰*⋻966=⋰*⋻10020","layer":3},{"info":"⋰*⋻19AA⊋⋰*⋻2567=⋰*⋻-10223A71","layer":3},{"info":"⋰*⋻10020/⋰*⋻-10223A71=⋰*⋻-1","layer":2},{"info":"⊖∈⋰*⋻-1=⋰*⋻-4244","layer":1},{"info":"⋰*⋻1702⪭⋰*⋻162A=⋰*⋻5","layer":3},{"info":"⩒∊⋰*⋻2424=⋰*⋻421A","layer":3},{"info":"⋰*⋻5⇻⋧≁⋰*⋻421A=⋰*⋻-377","layer":2},{"info":"⩏⊷≩⋰*⋻2557=⋰*⋻485A","layer":3},{"info":"⋰*⋻1539⇷⋰*⋻1993=⋰*⋻3876","layer":3},{"info":"⋰*⋻485A⫉⨲⊜⋰*⋻3876=⋰*⋻0","layer":2},{"info":"⋰*⋻-377≀⩗∶⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻-4244⨜⨶⋰*⋻0=⋰*⋻-38655","layer":0}]}
{"id":666,"expression_no_base_symbol":"(($1015$⩁⩘$4970$⨱∎)⪘⫢($7936$⫞⩸⩒$4467$∠↢(⊲⪭$4079$)))⇤((⪭⩑⪱$2683$)⪝(⪓⩚$4616$)⩺⪪(($4465$⪪$7528$)∧))","expression":"((⋰*⋻843⩁⩘⋰*⋻3809⨱∎)⪘⫢(⋰*⋻5A65⫞⩸⩒⋰*⋻33A1∠↢(⊲⪭⋰*⋻3079)))⇤((⪭⩑⪱⋰*⋻201A)⪝(⪓⩚⋰*⋻3517)⩺⪪((⋰*⋻339A⪪⋰*⋻5724)∧))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":493129,"operation_count":13,"complexity_ratio":37933.0,"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":1015,"base":11},"right_expr":{"type":"numeric_atoms","value":4970,"base":11}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":7936,"base":11},"right_expr":{"type":"numeric_atoms","value":4467,"base":11}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":4079,"base":11}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2683,"base":11}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":4616,"base":11}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4465,"base":11},"right_expr":{"type":"numeric_atoms","value":7528,"base":11}}}}},"used_operators":["YSKBFp38Pu","oacrs7FA3X","MmTdOpaElr","gub5Cegaqo","KbjG8mgYpV","XGcMNugi78","k7HXdKtiEU","uvdQJvN4PV","wicAB68Tmb","SIgE0bArFf","u0R0Locfp2","z63VuFQld9","xD69zh8xqp"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","i8ToyICDmI","xUOZtlo3hN","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","FU0Cs4j7VP","JclMnS0uGI"],"result":"⋰*⋻12348","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":4},{"info":"number node, value=4970","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=4970, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=20828","layer":3},{"info":"compute unary expreesion, input=20828, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"number node, value=7936","layer":4},{"info":"number node, value=4467","layer":4},{"info":"compute binary expreesion, left_input=7936, right_input=4467, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4467","layer":3},{"info":"number node, value=4079","layer":4},{"info":"compute unary expreesion, input=4079, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4253","layer":3},{"info":"compute binary expreesion, left_input=4467, right_input=-4253, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=42756","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=42756, 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":"number node, value=2683","layer":4},{"info":"compute unary expreesion, input=2683, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=4616","layer":4},{"info":"compute unary expreesion, input=4616, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=426, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-33281703","layer":2},{"info":"number node, value=4465","layer":4},{"info":"number node, value=7528","layer":4},{"info":"compute binary expreesion, left_input=4465, right_input=7528, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-670304","layer":3},{"info":"compute unary expreesion, input=-670304, 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 binary expreesion, left_input=-33281703, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=-1156, right_input=-1818, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=17718","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻843⩁⩘⋰*⋻3809⨱∎)⪘⫢(⋰*⋻5A65⫞⩸⩒⋰*⋻33A1∠↢(⊲⪭⋰*⋻3079)))⇤((⪭⩑⪱⋰*⋻201A)⪝(⪓⩚⋰*⋻3517)⩺⪪((⋰*⋻339A⪪⋰*⋻5724)∧))=⋰*⋻12348","reverse_text":"⋰*⋻12348=((⋰*⋻843⩁⩘⋰*⋻3809⨱∎)⪘⫢(⋰*⋻5A65⫞⩸⩒⋰*⋻33A1∠↢(⊲⪭⋰*⋻3079)))⇤((⪭⩑⪱⋰*⋻201A)⪝(⪓⩚⋰*⋻3517)⩺⪪((⋰*⋻339A⪪⋰*⋻5724)∧))","cot":[{"info":"⋰*⋻843⩁⩘⋰*⋻3809=⋰*⋻14715","layer":3},{"info":"⋰*⋻14715⨱∎=⋰*⋻0","layer":2},{"info":"⋰*⋻5A65⫞⩸⩒⋰*⋻33A1=⋰*⋻33A1","layer":3},{"info":"⊲⪭⋰*⋻3079=⋰*⋻-3217","layer":3},{"info":"⋰*⋻33A1∠↢⋰*⋻-3217=⋰*⋻2A13A","layer":2},{"info":"⋰*⋻0⪘⫢⋰*⋻2A13A=⋰*⋻-961","layer":1},{"info":"⪭⩑⪱⋰*⋻201A=⋰*⋻4773560","layer":3},{"info":"⪓⩚⋰*⋻3517=⋰*⋻358","layer":3},{"info":"⋰*⋻4773560⪝⋰*⋻358=⋰*⋻-17872044","layer":2},{"info":"⋰*⋻339A⪪⋰*⋻5724=⋰*⋻-418678","layer":3},{"info":"⋰*⋻-418678∧=⋰*⋻0","layer":2},{"info":"⋰*⋻-17872044⩺⪪⋰*⋻0=⋰*⋻-1403","layer":1},{"info":"⋰*⋻-961⇤⋰*⋻-1403=⋰*⋻12348","layer":0}]}
{"id":667,"expression_no_base_symbol":"((∜⨇($1513$⫯⪬∳$5050$))≝⊰⇂)↬((⊬↢$1458$)⇌⫙⪟($3322$≓∲$9037$)≒∊(($8209$↱$3613$)⪉⨛($8403$⊭↱$1372$)))","expression":"((∜⨇(⋰*⋻1156⫯⪬∳⋰*⋻3881))≝⊰⇂)↬((⊬↢⋰*⋻1106)⇌⫙⪟(⋰*⋻2550≓∲⋰*⋻6876)≒∊((⋰*⋻6193↱⋰*⋻2795)⪉⨛(⋰*⋻634A⊭↱⋰*⋻1038)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2636,"operation_count":11,"complexity_ratio":239.63636363636363,"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":1513,"base":11},"right_expr":{"type":"numeric_atoms","value":5050,"base":11}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1458,"base":11}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3322,"base":11},"right_expr":{"type":"numeric_atoms","value":9037,"base":11}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":8209,"base":11},"right_expr":{"type":"numeric_atoms","value":3613,"base":11}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8403,"base":11},"right_expr":{"type":"numeric_atoms","value":1372,"base":11}}}}},"used_operators":["B5M0gjZbta","htSmYCowi5","uFPyJr306J","d7ASUq0ydm","5KTvxBwnZo","AFVx7xoS7T","WPoGxAaPR1","s1XTVnmDOJ","EWw2JM7wp4","SR5kFfdi6N","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","9FxExcQeMw","DlLNRPXxWL","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"number node, value=5050","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=5050, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2548","layer":3},{"info":"compute unary expreesion, input=2548, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=nan","layer":1},{"info":"number node, value=1458","layer":4},{"info":"compute unary expreesion, input=1458, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=3322","layer":4},{"info":"number node, value=9037","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=9037, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=34003","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=34003, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=8209","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=8209, right_input=3613, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-10317","layer":3},{"info":"number node, value=8403","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=8403, right_input=1372, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-14057","layer":3},{"info":"compute binary expreesion, left_input=-10317, right_input=-14057, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11435","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=11435, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=371","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=371, 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":11,"result_base":11,"text":"((∜⨇(⋰*⋻1156⫯⪬∳⋰*⋻3881))≝⊰⇂)↬((⊬↢⋰*⋻1106)⇌⫙⪟(⋰*⋻2550≓∲⋰*⋻6876)≒∊((⋰*⋻6193↱⋰*⋻2795)⪉⨛(⋰*⋻634A⊭↱⋰*⋻1038)))=NaN","reverse_text":"NaN=((∜⨇(⋰*⋻1156⫯⪬∳⋰*⋻3881))≝⊰⇂)↬((⊬↢⋰*⋻1106)⇌⫙⪟(⋰*⋻2550≓∲⋰*⋻6876)≒∊((⋰*⋻6193↱⋰*⋻2795)⪉⨛(⋰*⋻634A⊭↱⋰*⋻1038)))","cot":[{"info":"⋰*⋻1156⫯⪬∳⋰*⋻3881=⋰*⋻1A07","layer":3},{"info":"∜⨇⋰*⋻1A07=NaN","layer":2},{"info":"NaN≝⊰⇂=NaN","layer":1},{"info":"⊬↢⋰*⋻1106=⋰*⋻189","layer":3},{"info":"⋰*⋻2550≓∲⋰*⋻6876=⋰*⋻23602","layer":3},{"info":"⋰*⋻189⇌⫙⪟⋰*⋻23602=⋰*⋻A3","layer":2},{"info":"⋰*⋻6193↱⋰*⋻2795=⋰*⋻-782A","layer":3},{"info":"⋰*⋻634A⊭↱⋰*⋻1038=⋰*⋻-A61A","layer":3},{"info":"⋰*⋻-782A⪉⨛⋰*⋻-A61A=⋰*⋻8656","layer":2},{"info":"⋰*⋻A3≒∊⋰*⋻8656=⋰*⋻308","layer":1},{"info":"NaN↬⋰*⋻308=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"(⨆≐≲(($4174$⋩≍≻)⪒⊣⊆($4422$⩘$3186$)))≀⫉(∟⋨($6156$⊮⊟↴$2267$⋓($6921$+$1393$)))","expression":"(⨆≐≲((⋰*⋻3155⋩≍≻)⪒⊣⊆(⋰*⋻3360⩘⋰*⋻2437)))≀⫉(∟⋨(⋰*⋻4697⊮⊟↴⋰*⋻1781⋓(⋰*⋻5222+⋰*⋻1057)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":418,"operation_count":9,"complexity_ratio":46.44444444444444,"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":4174,"base":11}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4422,"base":11},"right_expr":{"type":"numeric_atoms","value":3186,"base":11}}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6156,"base":11},"right_expr":{"type":"numeric_atoms","value":2267,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6921,"base":11},"right_expr":{"type":"numeric_atoms","value":1393,"base":11}}}}},"used_operators":["oZj3VtZNQx","Bi9z9uYZqW","eRqsBgTDFp","WYd1w68Nbz","cHh1gJQ2o6","ctOc4cKSDt","T2fj7uvVaJ","QDVgd2eftb","W4YGzv6Whe"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","sdazOOVcIp","W4YGzv6Whe","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⋰*⋻2136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4174","layer":4},{"info":"compute unary expreesion, input=4174, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=4422","layer":4},{"info":"number node, value=3186","layer":4},{"info":"compute binary expreesion, left_input=4422, right_input=3186, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=532","layer":2},{"info":"compute unary expreesion, input=532, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=5488728","layer":1},{"info":"number node, value=6156","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=6156, right_input=2267, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=6921","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=6921, right_input=1393, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8314","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8314, 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 = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=484","layer":1},{"info":"compute binary expreesion, left_input=5488728, right_input=484, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":11,"result_base":11,"text":"(⨆≐≲((⋰*⋻3155⋩≍≻)⪒⊣⊆(⋰*⋻3360⩘⋰*⋻2437)))≀⫉(∟⋨(⋰*⋻4697⊮⊟↴⋰*⋻1781⋓(⋰*⋻5222+⋰*⋻1057)))=⋰*⋻2136","reverse_text":"⋰*⋻2136=(⨆≐≲((⋰*⋻3155⋩≍≻)⪒⊣⊆(⋰*⋻3360⩘⋰*⋻2437)))≀⫉(∟⋨(⋰*⋻4697⊮⊟↴⋰*⋻1781⋓(⋰*⋻5222+⋰*⋻1057)))","cot":[{"info":"⋰*⋻3155⋩≍≻=⋰*⋻-50","layer":3},{"info":"⋰*⋻3360⩘⋰*⋻2437=⋰*⋻136","layer":3},{"info":"⋰*⋻-50⪒⊣⊆⋰*⋻136=⋰*⋻444","layer":2},{"info":"⨆≐≲⋰*⋻444=⋰*⋻3109843","layer":1},{"info":"⋰*⋻4697⊮⊟↴⋰*⋻1781=⋰*⋻0","layer":3},{"info":"⋰*⋻5222+⋰*⋻1057=⋰*⋻6279","layer":3},{"info":"⋰*⋻0⋓⋰*⋻6279=⋰*⋻0","layer":2},{"info":"∟⋨⋰*⋻0=⋰*⋻400","layer":1},{"info":"⋰*⋻3109843≀⫉⋰*⋻400=⋰*⋻2136","layer":0}]}
{"id":669,"expression_no_base_symbol":"($4318$≃⋄)∀⇚≩(⊖∈$8138$)⇴(↣≠⋷($3383$⊟⇱))⨵⪆($1335$∠⫱$6097$⫌⩉⩟$2308$≥⨤⩑$5768$)⫁⪎(⊗($1764$⪘⫢$3012$))","expression":"(⋰*⋻3276≃⋄)∀⇚≩(⊖∈⋰*⋻6129)⇴(↣≠⋷(⋰*⋻25A6⊟⇱))⨵⪆(⋰*⋻1004∠⫱⋰*⋻4643⫌⩉⩟⋰*⋻1809≥⨤⩑⋰*⋻4374)⫁⪎(⊗(⋰*⋻1364⪘⫢⋰*⋻2299))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13287,"operation_count":13,"complexity_ratio":1022.0769230769231,"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":4318,"base":11}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":8138,"base":11}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":3383,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1335,"base":11},"right_expr":{"type":"numeric_atoms","value":6097,"base":11}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2308,"base":11},"right_expr":{"type":"numeric_atoms","value":5768,"base":11}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1764,"base":11},"right_expr":{"type":"numeric_atoms","value":3012,"base":11}}}}},"used_operators":["2DQ55sFlQl","4JB6nKBMSY","LRNGc0VcxI","aN9a90urxU","YFxL8Sc2Zy","Asc51vEJeQ","03sUfWo75k","xRrnTEsQ6j","XIIwhv8d0m","QvoQhV0rrE","gJLn6v0xnP","RhiyfpczSx","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","X99M06cbEe","uFcxV4UQCh","jLgFTUHLKL","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","XhwjNDsVaA","AHs5Up7iyr","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4318","layer":4},{"info":"compute unary expreesion, input=4318, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=8138","layer":4},{"info":"compute unary expreesion, input=8138, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=157166","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=157166, 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=3383","layer":4},{"info":"compute unary expreesion, input=3383, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=7082","layer":3},{"info":"compute unary expreesion, input=7082, 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 = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"number node, value=1335","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=6097, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2308","layer":4},{"info":"number node, value=5768","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=5768, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1234, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1764","layer":4},{"info":"number node, value=3012","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=3012, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3404","layer":3},{"info":"compute unary expreesion, input=3404, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6808","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-6808, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=6758","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6758, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3276≃⋄)∀⇚≩(⊖∈⋰*⋻6129)⇴(↣≠⋷(⋰*⋻25A6⊟⇱))⨵⪆(⋰*⋻1004∠⫱⋰*⋻4643⫌⩉⩟⋰*⋻1809≥⨤⩑⋰*⋻4374)⫁⪎(⊗(⋰*⋻1364⪘⫢⋰*⋻2299))=⋰*⋻136","reverse_text":"⋰*⋻136=(⋰*⋻3276≃⋄)∀⇚≩(⊖∈⋰*⋻6129)⇴(↣≠⋷(⋰*⋻25A6⊟⇱))⨵⪆(⋰*⋻1004∠⫱⋰*⋻4643⫌⩉⩟⋰*⋻1809≥⨤⩑⋰*⋻4374)⫁⪎(⊗(⋰*⋻1364⪘⫢⋰*⋻2299))","cot":[{"info":"⋰*⋻3276≃⋄=⋰*⋻635","layer":3},{"info":"⊖∈⋰*⋻6129=⋰*⋻A8099","layer":3},{"info":"⋰*⋻635∀⇚≩⋰*⋻A8099=NaN","layer":2},{"info":"⋰*⋻25A6⊟⇱=⋰*⋻5359","layer":3},{"info":"↣≠⋷⋰*⋻5359=NaN","layer":2},{"info":"NaN⇴NaN=NaN","layer":1},{"info":"⋰*⋻1004∠⫱⋰*⋻4643=⋰*⋻A22","layer":3},{"info":"⋰*⋻1809≥⨤⩑⋰*⋻4374=⋰*⋻A22","layer":3},{"info":"⋰*⋻A22⫌⩉⩟⋰*⋻A22=⋰*⋻-46","layer":2},{"info":"⋰*⋻1364⪘⫢⋰*⋻2299=⋰*⋻2615","layer":3},{"info":"⊗⋰*⋻2615=⋰*⋻-512A","layer":2},{"info":"⋰*⋻-46⫁⪎⋰*⋻-512A=⋰*⋻5094","layer":1},{"info":"NaN⨵⪆⋰*⋻5094=⋰*⋻136","layer":0}]}
{"id":670,"expression_no_base_symbol":"(⪛⨧$2654$↤⩊$5612$)↼⊘⨖($2670$⪎↠$7148$)≁(⫎≠⋺$5832$)⨎($1555$↬$2718$⨓$4245$⨟⋌⩍$2684$⋅⇍(⫯(≅≯⇸$1414$)))","expression":"(⪛⨧⋰*⋻1AA3↤⩊⋰*⋻4242)↼⊘⨖(⋰*⋻2008⪎↠⋰*⋻5409)≁(⫎≠⋺⋰*⋻4422)⨎(⋰*⋻1194↬⋰*⋻2051⨓⋰*⋻320A⨟⋌⩍⋰*⋻2020⋅⇍(⫯(≅≯⇸⋰*⋻1076)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":368,"operation_count":13,"complexity_ratio":28.307692307692307,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2654,"base":11},"right_expr":{"type":"numeric_atoms","value":5612,"base":11}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2670,"base":11},"right_expr":{"type":"numeric_atoms","value":7148,"base":11}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":5832,"base":11}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1555,"base":11},"right_expr":{"type":"numeric_atoms","value":2718,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4245,"base":11},"right_expr":{"type":"numeric_atoms","value":2684,"base":11}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1414,"base":11}}}}},"used_operators":["rJVOvQCfKK","bPywburJMS","6NJAcO2OWT","13rbtpv6ld","8N2wDY1A35","3tVxb0NHM4","LYeZOJ0nQG","AdZkA7nFnk","3ViojmjbAp","B5M0gjZbta","rGHVDoGpnC","H6BK1Evt7c","apS25hmuAe"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","Tcnh7f0tEr","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2654","layer":4},{"info":"number node, value=5612","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=5612, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=nan","layer":2},{"info":"number node, value=2670","layer":4},{"info":"number node, value=7148","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=7148, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=5832","layer":4},{"info":"compute unary expreesion, input=5832, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8941, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-18104","layer":1},{"info":"number node, value=1555","layer":4},{"info":"number node, value=2718","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=2718, 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=4245","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=4245, right_input=2684, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1414","layer":4},{"info":"compute unary expreesion, input=1414, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=13333","layer":3},{"info":"compute unary expreesion, input=13333, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-545198","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-545198, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-18104, 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":11,"result_base":11,"text":"(⪛⨧⋰*⋻1AA3↤⩊⋰*⋻4242)↼⊘⨖(⋰*⋻2008⪎↠⋰*⋻5409)≁(⫎≠⋺⋰*⋻4422)⨎(⋰*⋻1194↬⋰*⋻2051⨓⋰*⋻320A⨟⋌⩍⋰*⋻2020⋅⇍(⫯(≅≯⇸⋰*⋻1076)))=NaN","reverse_text":"NaN=(⪛⨧⋰*⋻1AA3↤⩊⋰*⋻4242)↼⊘⨖(⋰*⋻2008⪎↠⋰*⋻5409)≁(⫎≠⋺⋰*⋻4422)⨎(⋰*⋻1194↬⋰*⋻2051⨓⋰*⋻320A⨟⋌⩍⋰*⋻2020⋅⇍(⫯(≅≯⇸⋰*⋻1076)))","cot":[{"info":"⋰*⋻1AA3↤⩊⋰*⋻4242=NaN","layer":3},{"info":"⪛⨧NaN=NaN","layer":2},{"info":"⋰*⋻2008⪎↠⋰*⋻5409=⋰*⋻136","layer":3},{"info":"⫎≠⋺⋰*⋻4422=⋰*⋻0","layer":3},{"info":"⋰*⋻136≁⋰*⋻0=⋰*⋻-6799","layer":2},{"info":"NaN↼⊘⨖⋰*⋻-6799=⋰*⋻-12669","layer":1},{"info":"⋰*⋻1194↬⋰*⋻2051=NaN","layer":3},{"info":"⋰*⋻320A⨟⋌⩍⋰*⋻2020=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"≅≯⇸⋰*⋻1076=⋰*⋻A021","layer":3},{"info":"⫯⋰*⋻A021=⋰*⋻-342685","layer":2},{"info":"NaN⋅⇍⋰*⋻-342685=NaN","layer":1},{"info":"⋰*⋻-12669⨎NaN=NaN","layer":0}]}
{"id":671,"expression_no_base_symbol":"(⨂⪏⇭$3005$⨂≜$1148$)⨚⇆$1148$⨿$7187$⨐($4128$⨎$2271$)⇼⇔∾(⩷⨜⫀(($3628$≓∲$4844$)⫒⫫($9462$⨝⩣∺)))","expression":"(⨂⪏⇭⋰*⋻2292⨂≜⋰*⋻954)⨚⇆⋰*⋻954⨿⋰*⋻5444⨐(⋰*⋻3113⨎⋰*⋻1785)⇼⇔∾(⩷⨜⫀((⋰*⋻27A9≓∲⋰*⋻3704)⫒⫫(⋰*⋻7122⨝⩣∺)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3397,"operation_count":11,"complexity_ratio":308.8181818181818,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3005,"base":11},"right_expr":{"type":"numeric_atoms","value":1148,"base":11}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1148,"base":11},"right_expr":{"type":"numeric_atoms","value":7187,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4128,"base":11},"right_expr":{"type":"numeric_atoms","value":2271,"base":11}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3628,"base":11},"right_expr":{"type":"numeric_atoms","value":4844,"base":11}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":9462,"base":11}}}}},"used_operators":["tifHPKVTfV","lwHaAYXP2r","AYdpE9sXAk","k1SHOSEABc","Noe24qw2ks","abYXlopdE0","rJVOvQCfKK","CDi0ktkjQ4","6Ko8hGgeMq","s1XTVnmDOJ","ancx8kZcWl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","ruOEQAzv1W","nhYeJWJD5X","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DZ8iAZOCBD","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3005","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=1148, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":2},{"info":"number node, value=1148","layer":4},{"info":"number node, value=7187","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=7187, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=4128","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=4128, right_input=2271, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2271","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=2271, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=638","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=638, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=3628","layer":4},{"info":"number node, value=4844","layer":4},{"info":"compute binary expreesion, left_input=3628, right_input=4844, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=37063","layer":3},{"info":"number node, value=9462","layer":4},{"info":"compute unary expreesion, input=9462, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-18924","layer":3},{"info":"compute binary expreesion, left_input=37063, right_input=-18924, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⨂⪏⇭⋰*⋻2292⨂≜⋰*⋻954)⨚⇆⋰*⋻954⨿⋰*⋻5444⨐(⋰*⋻3113⨎⋰*⋻1785)⇼⇔∾(⩷⨜⫀((⋰*⋻27A9≓∲⋰*⋻3704)⫒⫫(⋰*⋻7122⨝⩣∺)))=NaN","reverse_text":"NaN=(⨂⪏⇭⋰*⋻2292⨂≜⋰*⋻954)⨚⇆⋰*⋻954⨿⋰*⋻5444⨐(⋰*⋻3113⨎⋰*⋻1785)⇼⇔∾(⩷⨜⫀((⋰*⋻27A9≓∲⋰*⋻3704)⫒⫫(⋰*⋻7122⨝⩣∺)))","cot":[{"info":"⋰*⋻2292⨂≜⋰*⋻954=NaN","layer":3},{"info":"⨂⪏⇭NaN=NaN","layer":2},{"info":"⋰*⋻954⨿⋰*⋻5444=⋰*⋻-270","layer":3},{"info":"⋰*⋻3113⨎⋰*⋻1785=⋰*⋻1785","layer":3},{"info":"⋰*⋻-270⨐⋰*⋻1785=⋰*⋻530","layer":2},{"info":"NaN⨚⇆⋰*⋻530=NaN","layer":1},{"info":"⋰*⋻27A9≓∲⋰*⋻3704=⋰*⋻25934","layer":3},{"info":"⋰*⋻7122⨝⩣∺=⋰*⋻-13244","layer":3},{"info":"⋰*⋻25934⫒⫫⋰*⋻-13244=NaN","layer":2},{"info":"⩷⨜⫀NaN=⋰*⋻-112","layer":1},{"info":"NaN⇼⇔∾⋰*⋻-112=NaN","layer":0}]}
{"id":672,"expression_no_base_symbol":"(∂⩏⊆$1140$≃$1353$↙$1691$⩒⫫$3035$)⪚($4100$≧⫂∧$3913$⨑≵⋬$7545$⪭≯$5343$*(($3864$⪐)⨑≵⋬($1115$⨑≵⋬$5404$)))","expression":"(∂⩏⊆⋰*⋻947≃⋰*⋻1020↙⋰*⋻12A8⩒⫫⋰*⋻230A)⪚(⋰*⋻3098≧⫂∧⋰*⋻2A38⨑≵⋬⋰*⋻573A⪭≯⋰*⋻4018*((⋰*⋻29A3⪐)⨑≵⋬(⋰*⋻924⨑≵⋬⋰*⋻4073)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":310,"operation_count":12,"complexity_ratio":25.833333333333332,"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":1140,"base":11},"right_expr":{"type":"numeric_atoms","value":1353,"base":11}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1691,"base":11},"right_expr":{"type":"numeric_atoms","value":3035,"base":11}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4100,"base":11},"right_expr":{"type":"numeric_atoms","value":3913,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":7545,"base":11},"right_expr":{"type":"numeric_atoms","value":5343,"base":11}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3864,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1115,"base":11},"right_expr":{"type":"numeric_atoms","value":5404,"base":11}}}}},"used_operators":["HrjLwUk87U","8WDwsbhb0R","yyfyN0ffXY","YbVcJGFEVW","KFSx94NKJn","9HNa5Wba9A","XnXgA4xnOs","Ph9nP6C5qx","XAx5wpdLa6","eH2TOUuTDT"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","14qkJME0vr","eLAdDNolq6","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1140","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=1353, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4600","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=3035, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1389","layer":3},{"info":"compute binary expreesion, left_input=-4600, right_input=1389, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4600","layer":2},{"info":"compute unary expreesion, input=-4600, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=5084","layer":1},{"info":"number node, value=4100","layer":4},{"info":"number node, value=3913","layer":4},{"info":"compute binary expreesion, left_input=4100, right_input=3913, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3440","layer":3},{"info":"number node, value=7545","layer":4},{"info":"number node, value=5343","layer":4},{"info":"compute binary expreesion, left_input=7545, right_input=5343, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3440, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"number node, value=3864","layer":4},{"info":"compute unary expreesion, input=3864, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7728","layer":3},{"info":"number node, value=1115","layer":4},{"info":"number node, value=5404","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=5404, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-30874","layer":3},{"info":"compute binary expreesion, left_input=7728, right_input=-30874, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=318917","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=318917, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5084, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂⩏⊆⋰*⋻947≃⋰*⋻1020↙⋰*⋻12A8⩒⫫⋰*⋻230A)⪚(⋰*⋻3098≧⫂∧⋰*⋻2A38⨑≵⋬⋰*⋻573A⪭≯⋰*⋻4018*((⋰*⋻29A3⪐)⨑≵⋬(⋰*⋻924⨑≵⋬⋰*⋻4073)))=NaN","reverse_text":"NaN=(∂⩏⊆⋰*⋻947≃⋰*⋻1020↙⋰*⋻12A8⩒⫫⋰*⋻230A)⪚(⋰*⋻3098≧⫂∧⋰*⋻2A38⨑≵⋬⋰*⋻573A⪭≯⋰*⋻4018*((⋰*⋻29A3⪐)⨑≵⋬(⋰*⋻924⨑≵⋬⋰*⋻4073)))","cot":[{"info":"⋰*⋻947≃⋰*⋻1020=⋰*⋻-3502","layer":3},{"info":"⋰*⋻12A8⩒⫫⋰*⋻230A=⋰*⋻1053","layer":3},{"info":"⋰*⋻-3502↙⋰*⋻1053=⋰*⋻-3502","layer":2},{"info":"∂⩏⊆⋰*⋻-3502=⋰*⋻3902","layer":1},{"info":"⋰*⋻3098≧⫂∧⋰*⋻2A38=⋰*⋻2648","layer":3},{"info":"⋰*⋻573A⪭≯⋰*⋻4018=NaN","layer":3},{"info":"⋰*⋻2648⨑≵⋬NaN=NaN","layer":2},{"info":"⋰*⋻29A3⪐=⋰*⋻5896","layer":3},{"info":"⋰*⋻924⨑≵⋬⋰*⋻4073=⋰*⋻-21218","layer":3},{"info":"⋰*⋻5896⨑≵⋬⋰*⋻-21218=⋰*⋻1A8675","layer":2},{"info":"NaN*⋰*⋻1A8675=NaN","layer":1},{"info":"⋰*⋻3902⪚NaN=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"⋗⩬⋾(⇨($1221$⩁⩘$3977$)≝⊿($2466$∌↝$4046$))","expression":"⋗⩬⋾(⇨(⋰*⋻A10⩁⩘⋰*⋻2A96)≝⊿(⋰*⋻1942∌↝⋰*⋻3049))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":56,"operation_count":5,"complexity_ratio":11.2,"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":1221,"base":11},"right_expr":{"type":"numeric_atoms","value":3977,"base":11}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2466,"base":11},"right_expr":{"type":"numeric_atoms","value":4046,"base":11}}}}},"used_operators":["DpFCA1CohY","G9tJMlZ94a","OKKcZfAt5B","gub5Cegaqo","9Isq31Ruls"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":4},{"info":"number node, value=3977","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=3977, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=16856","layer":3},{"info":"number node, value=2466","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=4046, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=16856, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-17389","layer":2},{"info":"compute unary expreesion, input=-17389, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', 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":11,"result_base":11,"text":"⋗⩬⋾(⇨(⋰*⋻A10⩁⩘⋰*⋻2A96)≝⊿(⋰*⋻1942∌↝⋰*⋻3049))=⋰*⋻0","reverse_text":"⋰*⋻0=⋗⩬⋾(⇨(⋰*⋻A10⩁⩘⋰*⋻2A96)≝⊿(⋰*⋻1942∌↝⋰*⋻3049))","cot":[{"info":"⋰*⋻A10⩁⩘⋰*⋻2A96=⋰*⋻11734","layer":3},{"info":"⋰*⋻1942∌↝⋰*⋻3049=⋰*⋻0","layer":3},{"info":"⋰*⋻11734≝⊿⋰*⋻0=⋰*⋻-12079","layer":2},{"info":"⇨⋰*⋻-12079=⋰*⋻0","layer":1},{"info":"⋗⩬⋾⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":674,"expression_no_base_symbol":"⊲⪭(⩩((⊙↵-$1512$)⪭≯(⊬↢$2418$)))","expression":"⊲⪭(⩩((⊙↵-⋰*⋻1155)⪭≯(⊬↢⋰*⋻18A9)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5162,"operation_count":5,"complexity_ratio":1032.4,"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":1512,"base":11}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2418,"base":11}}}}},"used_operators":["k7HXdKtiEU","kMhfGuqI2H","XAx5wpdLa6","oWn0xqSxBt","WPoGxAaPR1"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1512","layer":4},{"info":"compute unary expreesion, input=1512, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2418","layer":4},{"info":"compute unary expreesion, input=2418, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=218, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊲⪭(⩩((⊙↵-⋰*⋻1155)⪭≯(⊬↢⋰*⋻18A9)))=NaN","reverse_text":"NaN=⊲⪭(⩩((⊙↵-⋰*⋻1155)⪭≯(⊬↢⋰*⋻18A9)))","cot":[{"info":"⊙↵-⋰*⋻1155=⋰*⋻-1","layer":3},{"info":"⊬↢⋰*⋻18A9=⋰*⋻189","layer":3},{"info":"⋰*⋻-1⪭≯⋰*⋻189=NaN","layer":2},{"info":"⩩NaN=NaN","layer":1},{"info":"⊲⪭NaN=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"(⩪∧⨌(($3786$∷)∀⊥⇻))≥⨤⩑(($7168$⨟⋌⩍$5685$)⇂≾⫗(⩰$1633$))⇡⇂(($4408$⫢⨠$4724$)⫘($2106$⨚$4546$))","expression":"(⩪∧⨌((⋰*⋻2932∷)∀⊥⇻))≥⨤⩑((⋰*⋻5427⨟⋌⩍⋰*⋻42A9)⇂≾⫗(⩰⋰*⋻1255))⇡⇂((⋰*⋻3348⫢⨠⋰*⋻3605)⫘(⋰*⋻1645⨚⋰*⋻3463))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1014628,"operation_count":11,"complexity_ratio":92238.90909090909,"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":3786,"base":11}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7168,"base":11},"right_expr":{"type":"numeric_atoms","value":5685,"base":11}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1633,"base":11}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4408,"base":11},"right_expr":{"type":"numeric_atoms","value":4724,"base":11}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2106,"base":11},"right_expr":{"type":"numeric_atoms","value":4546,"base":11}}}}},"used_operators":["gJLn6v0xnP","6iOiAJX1F8","k4iM1060OG","nFAOW8KTqp","UMwdvZNt44","aBQ6xLxuTc","rGHVDoGpnC","WkeUrDK8WX","48vC8HMD2b","xlXykHWxX1","nREPSIbpBE"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Tcnh7f0tEr","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","BjRHVeLaeN","12rbrZMWeM"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3786","layer":4},{"info":"compute unary expreesion, input=3786, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=11358","layer":3},{"info":"compute unary expreesion, input=11358, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=0","layer":1},{"info":"number node, value=7168","layer":4},{"info":"number node, value=5685","layer":4},{"info":"compute binary expreesion, left_input=7168, right_input=5685, 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=1633","layer":4},{"info":"compute unary expreesion, input=1633, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2633","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2633, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=4408","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=4408, right_input=4724, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2106","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=4546, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-13038","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-13038, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=196181","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=196181, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"(⩪∧⨌((⋰*⋻2932∷)∀⊥⇻))≥⨤⩑((⋰*⋻5427⨟⋌⩍⋰*⋻42A9)⇂≾⫗(⩰⋰*⋻1255))⇡⇂((⋰*⋻3348⫢⨠⋰*⋻3605)⫘(⋰*⋻1645⨚⋰*⋻3463))=⋰*⋻A22","reverse_text":"⋰*⋻A22=(⩪∧⨌((⋰*⋻2932∷)∀⊥⇻))≥⨤⩑((⋰*⋻5427⨟⋌⩍⋰*⋻42A9)⇂≾⫗(⩰⋰*⋻1255))⇡⇂((⋰*⋻3348⫢⨠⋰*⋻3605)⫘(⋰*⋻1645⨚⋰*⋻3463))","cot":[{"info":"⋰*⋻2932∷=⋰*⋻8596","layer":3},{"info":"⋰*⋻8596∀⊥⇻=⋰*⋻0","layer":2},{"info":"⩪∧⨌⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻5427⨟⋌⩍⋰*⋻42A9=NaN","layer":3},{"info":"⩰⋰*⋻1255=⋰*⋻-1A84","layer":3},{"info":"NaN⇂≾⫗⋰*⋻-1A84=NaN","layer":2},{"info":"⋰*⋻3348⫢⨠⋰*⋻3605=⋰*⋻136","layer":3},{"info":"⋰*⋻1645⨚⋰*⋻3463=⋰*⋻-9883","layer":3},{"info":"⋰*⋻136⫘⋰*⋻-9883=⋰*⋻124437","layer":2},{"info":"NaN⇡⇂⋰*⋻124437=NaN","layer":1},{"info":"⋰*⋻0≥⨤⩑NaN=⋰*⋻A22","layer":0}]}
{"id":676,"expression_no_base_symbol":"(($4953$⇗⋫)⇴∐($1435$⩷∴$2231$))↳≱(($1336$↬$1106$)⇷($6851$∕⩚$1878$))⨼⩣((+⊝⨔$1955$)≎⊠⪸$1280$⪥$6681$)≁↽≥(($1884$%$1659$)⨳⩥⨓$8904$⩁⩘$4074$)","expression":"((⋰*⋻37A3⇗⋫)⇴∐(⋰*⋻1095⩷∴⋰*⋻1749))↳≱((⋰*⋻1005↬⋰*⋻916)⇷(⋰*⋻5169∕⩚⋰*⋻1458))⨼⩣((+⊝⨔⋰*⋻1518)≎⊠⪸⋰*⋻A64⪥⋰*⋻5024)≁↽≥((⋰*⋻1463%⋰*⋻1279)⨳⩥⨓⋰*⋻6765⩁⩘⋰*⋻3074)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7719,"operation_count":15,"complexity_ratio":514.6,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":4953,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1435,"base":11},"right_expr":{"type":"numeric_atoms","value":2231,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1336,"base":11},"right_expr":{"type":"numeric_atoms","value":1106,"base":11}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6851,"base":11},"right_expr":{"type":"numeric_atoms","value":1878,"base":11}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1955,"base":11}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1280,"base":11},"right_expr":{"type":"numeric_atoms","value":6681,"base":11}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1884,"base":11},"right_expr":{"type":"numeric_atoms","value":1659,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":8904,"base":11},"right_expr":{"type":"numeric_atoms","value":4074,"base":11}}}}},"used_operators":["JxwMv5le6e","JwTKLfZU96","HnzytWxmAO","hpqmaQFPrd","9FxExcQeMw","mp7IySMOzn","B5M0gjZbta","z9ffQ9n5Zr","ncHt1X6cMc","bJkvcejdHO","DhbWaqg5eL","QbnwKVWMIQ","nCS4ZIUYfx","k8jYdgA6NY","gub5Cegaqo"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rxpJgHHUmx","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","oWn0xqSxBt","3Oe9XWJUTD","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4953","layer":4},{"info":"compute unary expreesion, input=4953, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=1435","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=2231, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1624","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1624, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=1336","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1106, 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=6851","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=6851, right_input=1878, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6854","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6854, 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 = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1955","layer":4},{"info":"compute unary expreesion, input=1955, 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=1280","layer":4},{"info":"number node, value=6681","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=6681, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9772","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=9772, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=393725","layer":2},{"info":"number node, value=1884","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=1659, op_id = k8jYdgA6NY binary_op_definition= 'None', output=225","layer":3},{"info":"number node, value=8904","layer":4},{"info":"number node, value=4074","layer":4},{"info":"compute binary expreesion, left_input=8904, right_input=4074, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17244","layer":3},{"info":"compute binary expreesion, left_input=225, right_input=17244, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=17019","layer":2},{"info":"compute binary expreesion, left_input=393725, right_input=17019, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=5094231","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5094231, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻37A3⇗⋫)⇴∐(⋰*⋻1095⩷∴⋰*⋻1749))↳≱((⋰*⋻1005↬⋰*⋻916)⇷(⋰*⋻5169∕⩚⋰*⋻1458))⨼⩣((+⊝⨔⋰*⋻1518)≎⊠⪸⋰*⋻A64⪥⋰*⋻5024)≁↽≥((⋰*⋻1463%⋰*⋻1279)⨳⩥⨓⋰*⋻6765⩁⩘⋰*⋻3074)=NaN","reverse_text":"NaN=((⋰*⋻37A3⇗⋫)⇴∐(⋰*⋻1095⩷∴⋰*⋻1749))↳≱((⋰*⋻1005↬⋰*⋻916)⇷(⋰*⋻5169∕⩚⋰*⋻1458))⨼⩣((+⊝⨔⋰*⋻1518)≎⊠⪸⋰*⋻A64⪥⋰*⋻5024)≁↽≥((⋰*⋻1463%⋰*⋻1279)⨳⩥⨓⋰*⋻6765⩁⩘⋰*⋻3074)","cot":[{"info":"⋰*⋻37A3⇗⋫=NaN","layer":3},{"info":"⋰*⋻1095⩷∴⋰*⋻1749=⋰*⋻-1247","layer":3},{"info":"NaN⇴∐⋰*⋻-1247=NaN","layer":2},{"info":"⋰*⋻1005↬⋰*⋻916=NaN","layer":3},{"info":"⋰*⋻5169∕⩚⋰*⋻1458=⋰*⋻-5171","layer":3},{"info":"NaN⇷⋰*⋻-5171=NaN","layer":2},{"info":"NaN↳≱NaN=⋰*⋻0","layer":1},{"info":"+⊝⨔⋰*⋻1518=⋰*⋻1164","layer":3},{"info":"⋰*⋻A64⪥⋰*⋻5024=⋰*⋻7384","layer":3},{"info":"⋰*⋻1164≎⊠⪸⋰*⋻7384=⋰*⋻2498A2","layer":2},{"info":"⋰*⋻1463%⋰*⋻1279=⋰*⋻195","layer":3},{"info":"⋰*⋻6765⩁⩘⋰*⋻3074=⋰*⋻11A57","layer":3},{"info":"⋰*⋻195⨳⩥⨓⋰*⋻11A57=⋰*⋻11872","layer":2},{"info":"⋰*⋻2498A2≁↽≥⋰*⋻11872=⋰*⋻296A40A","layer":1},{"info":"⋰*⋻0⨼⩣⋰*⋻296A40A=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"$2541$↞⋁$1995$⨳⩥⨓($7213$∟)⫸⊐(⊲⪭($4091$∠⫱$2440$))⪎⩰","expression":"⋰*⋻1A00↞⋁⋰*⋻1554⨳⩥⨓(⋰*⋻5468∟)⫸⊐(⊲⪭(⋰*⋻308A∠⫱⋰*⋻1919))⪎⩰","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":272,"operation_count":7,"complexity_ratio":38.857142857142854,"tree":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2541,"base":11},"right_expr":{"type":"numeric_atoms","value":1995,"base":11}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":7213,"base":11}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4091,"base":11},"right_expr":{"type":"numeric_atoms","value":2440,"base":11}}}}},"used_operators":["2ufhKmSs5H","mqXw5SEYmG","nCS4ZIUYfx","RqrPlJkxDo","hTbEZDJLEm","k7HXdKtiEU","QvoQhV0rrE"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","i8ToyICDmI","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2541","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=1995, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=7213","layer":4},{"info":"compute unary expreesion, input=7213, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4091","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=2440, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1408","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1408, 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 = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1A00↞⋁⋰*⋻1554⨳⩥⨓(⋰*⋻5468∟)⫸⊐(⊲⪭(⋰*⋻308A∠⫱⋰*⋻1919))⪎⩰=NaN","reverse_text":"NaN=⋰*⋻1A00↞⋁⋰*⋻1554⨳⩥⨓(⋰*⋻5468∟)⫸⊐(⊲⪭(⋰*⋻308A∠⫱⋰*⋻1919))⪎⩰","cot":[{"info":"⋰*⋻1A00↞⋁⋰*⋻1554=NaN","layer":3},{"info":"⋰*⋻5468∟=⋰*⋻A3","layer":3},{"info":"NaN⨳⩥⨓⋰*⋻A3=NaN","layer":2},{"info":"⋰*⋻308A∠⫱⋰*⋻1919=⋰*⋻A22","layer":3},{"info":"⊲⪭⋰*⋻A22=⋰*⋻-1070","layer":2},{"info":"NaN⫸⊐⋰*⋻-1070=NaN","layer":1},{"info":"NaN⪎⩰=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"⊑(($2948$∙∹∝$6072$⫌⩉⩟($1870$⩁))⪡($4399$⩺⋐⫨)⪭$6329$⨽∌$1071$)","expression":"⊑((⋰*⋻2240∙∹∝⋰*⋻4620⫌⩉⩟(⋰*⋻1450⩁))⪡(⋰*⋻333A⩺⋐⫨)⪭⋰*⋻4834⨽∌⋰*⋻894)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":106196,"operation_count":8,"complexity_ratio":13274.5,"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":2948,"base":11},"right_expr":{"type":"numeric_atoms","value":6072,"base":11}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":1870,"base":11}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":4399,"base":11}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6329,"base":11},"right_expr":{"type":"numeric_atoms","value":1071,"base":11}}}}},"used_operators":["IkUmn0D7oy","oraRL2iQuh","XIIwhv8d0m","HmxsFra2vL","5GqDbVmqXU","j9kHMeSvPp","yS9ePUuUdn","9samAPKr6k"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⋰*⋻165","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2948","layer":4},{"info":"number node, value=6072","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=6072, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1870","layer":4},{"info":"compute unary expreesion, input=1870, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-12180","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12180, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=4399","layer":4},{"info":"compute unary expreesion, input=4399, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=6329","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=6329, right_input=1071, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-174, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-2136","layer":1},{"info":"compute unary expreesion, input=-2136, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":11,"result_base":11,"text":"⊑((⋰*⋻2240∙∹∝⋰*⋻4620⫌⩉⩟(⋰*⋻1450⩁))⪡(⋰*⋻333A⩺⋐⫨)⪭⋰*⋻4834⨽∌⋰*⋻894)=⋰*⋻165","reverse_text":"⋰*⋻165=⊑((⋰*⋻2240∙∹∝⋰*⋻4620⫌⩉⩟(⋰*⋻1450⩁))⪡(⋰*⋻333A⩺⋐⫨)⪭⋰*⋻4834⨽∌⋰*⋻894)","cot":[{"info":"⋰*⋻2240∙∹∝⋰*⋻4620=⋰*⋻0","layer":3},{"info":"⋰*⋻1450⩁=⋰*⋻-9173","layer":3},{"info":"⋰*⋻0⫌⩉⩟⋰*⋻-9173=⋰*⋻-46","layer":2},{"info":"⋰*⋻333A⩺⋐⫨=⋰*⋻0","layer":3},{"info":"⋰*⋻4834⨽∌⋰*⋻894=⋰*⋻0","layer":3},{"info":"⋰*⋻0⪭⋰*⋻0=⋰*⋻-149","layer":2},{"info":"⋰*⋻-46⪡⋰*⋻-149=⋰*⋻-1672","layer":1},{"info":"⊑⋰*⋻-1672=⋰*⋻165","layer":0}]}
{"id":679,"expression_no_base_symbol":"⊖(↞≼($7299$⋳⪒$3824$))⪢($3336$≠≀$3077$⨑≵⋬($8947$⋻⩜⩜$4742$))","expression":"⊖(↞≼(⋰*⋻5536⋳⪒⋰*⋻2967))⪢(⋰*⋻2563≠≀⋰*⋻2348⨑≵⋬(⋰*⋻67A4⋻⩜⩜⋰*⋻3621))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":230483,"operation_count":7,"complexity_ratio":32926.142857142855,"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":7299,"base":11},"right_expr":{"type":"numeric_atoms","value":3824,"base":11}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3336,"base":11},"right_expr":{"type":"numeric_atoms","value":3077,"base":11}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":8947,"base":11},"right_expr":{"type":"numeric_atoms","value":4742,"base":11}}}}},"used_operators":["U6pG0PXrV3","dWAJyo7jo9","DE7zCoGJt9","12rbrZMWeM","XnXgA4xnOs","IwW236VD4Y","oDCm7WA9JY"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","k8jYdgA6NY","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7299","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=7299, right_input=3824, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10487","layer":3},{"info":"compute unary expreesion, input=10487, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=83482","layer":2},{"info":"number node, value=3336","layer":4},{"info":"number node, value=3077","layer":4},{"info":"compute binary expreesion, left_input=3336, right_input=3077, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6366","layer":3},{"info":"number node, value=8947","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=8947, right_input=4742, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=17894","layer":3},{"info":"compute binary expreesion, left_input=-6366, right_input=17894, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-155709","layer":2},{"info":"compute binary expreesion, left_input=83482, right_input=-155709, 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 = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊖(↞≼(⋰*⋻5536⋳⪒⋰*⋻2967))⪢(⋰*⋻2563≠≀⋰*⋻2348⨑≵⋬(⋰*⋻67A4⋻⩜⩜⋰*⋻3621))=NaN","reverse_text":"NaN=⊖(↞≼(⋰*⋻5536⋳⪒⋰*⋻2967))⪢(⋰*⋻2563≠≀⋰*⋻2348⨑≵⋬(⋰*⋻67A4⋻⩜⩜⋰*⋻3621))","cot":[{"info":"⋰*⋻5536⋳⪒⋰*⋻2967=⋰*⋻7974","layer":3},{"info":"↞≼⋰*⋻7974=⋰*⋻577A3","layer":2},{"info":"⋰*⋻2563≠≀⋰*⋻2348=⋰*⋻-4868","layer":3},{"info":"⋰*⋻67A4⋻⩜⩜⋰*⋻3621=⋰*⋻12498","layer":3},{"info":"⋰*⋻-4868⨑≵⋬⋰*⋻12498=⋰*⋻-A6A94","layer":2},{"info":"⋰*⋻577A3⪢⋰*⋻-A6A94=NaN","layer":1},{"info":"⊖NaN=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"((⊢≑≆$1981$)⩷∴(⩦⊞$5454$))⊢((⇜⊴$1114$)⋭≵$1251$↓$1021$)⋾⨃∁((↡($7451$⪥⨬⪅))⫠↝⫳)","expression":"((⊢≑≆⋰*⋻1541)⩷∴(⩦⊞⋰*⋻4109))⊢((⇜⊴⋰*⋻923)⋭≵⋰*⋻A38↓⋰*⋻849)⋾⨃∁((↡(⋰*⋻5664⪥⨬⪅))⫠↝⫳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14924,"operation_count":11,"complexity_ratio":1356.7272727272727,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1981,"base":11}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":5454,"base":11}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1114,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1251,"base":11},"right_expr":{"type":"numeric_atoms","value":1021,"base":11}}}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":7451,"base":11}}}}},"used_operators":["212REbPD9h","5twsqlHp2o","9FxExcQeMw","27wFxooxGf","u7fv1HBiaC","jBncVCNhdl","XwDhCwWbUn","Af076pWI7l","8n5YIzOsVS","MXaNJeIAZ3","zNRQejTB5A"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1981","layer":4},{"info":"compute unary expreesion, input=1981, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=8376","layer":3},{"info":"number node, value=5454","layer":4},{"info":"compute unary expreesion, input=5454, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5181","layer":3},{"info":"compute binary expreesion, left_input=8376, right_input=-5181, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=27082","layer":2},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-249190","layer":3},{"info":"number node, value=1251","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=1021, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-249190, right_input=-134, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=27082, right_input=67, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-54408","layer":1},{"info":"number node, value=7451","layer":4},{"info":"compute unary expreesion, input=7451, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-4257","layer":2},{"info":"compute unary expreesion, input=-4257, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-135601","layer":1},{"info":"compute binary expreesion, left_input=-54408, right_input=-135601, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((⊢≑≆⋰*⋻1541)⩷∴(⩦⊞⋰*⋻4109))⊢((⇜⊴⋰*⋻923)⋭≵⋰*⋻A38↓⋰*⋻849)⋾⨃∁((↡(⋰*⋻5664⪥⨬⪅))⫠↝⫳)=⋰*⋻136","reverse_text":"⋰*⋻136=((⊢≑≆⋰*⋻1541)⩷∴(⩦⊞⋰*⋻4109))⊢((⇜⊴⋰*⋻923)⋭≵⋰*⋻A38↓⋰*⋻849)⋾⨃∁((↡(⋰*⋻5664⪥⨬⪅))⫠↝⫳)","cot":[{"info":"⊢≑≆⋰*⋻1541=⋰*⋻6325","layer":3},{"info":"⩦⊞⋰*⋻4109=⋰*⋻-3990","layer":3},{"info":"⋰*⋻6325⩷∴⋰*⋻-3990=⋰*⋻19390","layer":2},{"info":"⇜⊴⋰*⋻923=⋰*⋻-160247","layer":3},{"info":"⋰*⋻A38↓⋰*⋻849=⋰*⋻-112","layer":3},{"info":"⋰*⋻-160247⋭≵⋰*⋻-112=⋰*⋻61","layer":2},{"info":"⋰*⋻19390⊢⋰*⋻61=⋰*⋻-37972","layer":1},{"info":"⋰*⋻5664⪥⨬⪅=⋰*⋻-3A0","layer":3},{"info":"↡⋰*⋻-3A0=⋰*⋻-3220","layer":2},{"info":"⋰*⋻-3220⫠↝⫳=⋰*⋻-92974","layer":1},{"info":"⋰*⋻-37972⋾⨃∁⋰*⋻-92974=⋰*⋻136","layer":0}]}
{"id":681,"expression_no_base_symbol":"(($3660$⫦⪉$1690$)+⇶⊼($1567$⊊))⫘($1536$≀⫉$1006$)⫁⪎($2499$⨎$1390$)⋭≵(⨛(⫡⇟⇯$7424$≴⪞⇿$2539$))","expression":"((⋰*⋻2828⫦⪉⋰*⋻12A7)+⇶⊼(⋰*⋻11A5⊊))⫘(⋰*⋻1177≀⫉⋰*⋻835)⫁⪎(⋰*⋻1972⨎⋰*⋻1054)⋭≵(⨛(⫡⇟⇯⋰*⋻563A≴⪞⇿⋰*⋻19A9))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7749,"operation_count":11,"complexity_ratio":704.4545454545455,"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":3660,"base":11},"right_expr":{"type":"numeric_atoms","value":1690,"base":11}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1567,"base":11}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":1006,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2499,"base":11},"right_expr":{"type":"numeric_atoms","value":1390,"base":11}}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":7424,"base":11},"right_expr":{"type":"numeric_atoms","value":2539,"base":11}}}}},"used_operators":["jBncVCNhdl","48vC8HMD2b","TpPTUOHfaN","wscyQdcy20","W9R8I5fN5A","xRrnTEsQ6j","oZj3VtZNQx","rJVOvQCfKK","CoMdbyAt7R","qWUSsah53b","lvlrscuwVU"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","AHs5Up7iyr","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DZ8iAZOCBD","P8v4zCKN1o","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3660","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=3660, right_input=1690, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2420","layer":3},{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=-2420, right_input=90927, 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=1536","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=1006, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2499","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=1390, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1390","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=1390, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1432","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1432, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"number node, value=7424","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=7424, right_input=2539, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=102273836","layer":3},{"info":"compute unary expreesion, input=102273836, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=204548540","layer":2},{"info":"compute unary expreesion, input=204548540, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2828⫦⪉⋰*⋻12A7)+⇶⊼(⋰*⋻11A5⊊))⫘(⋰*⋻1177≀⫉⋰*⋻835)⫁⪎(⋰*⋻1972⨎⋰*⋻1054)⋭≵(⨛(⫡⇟⇯⋰*⋻563A≴⪞⇿⋰*⋻19A9))=⋰*⋻61","reverse_text":"⋰*⋻61=((⋰*⋻2828⫦⪉⋰*⋻12A7)+⇶⊼(⋰*⋻11A5⊊))⫘(⋰*⋻1177≀⫉⋰*⋻835)⫁⪎(⋰*⋻1972⨎⋰*⋻1054)⋭≵(⨛(⫡⇟⇯⋰*⋻563A≴⪞⇿⋰*⋻19A9))","cot":[{"info":"⋰*⋻2828⫦⪉⋰*⋻12A7=⋰*⋻-1900","layer":3},{"info":"⋰*⋻11A5⊊=⋰*⋻62351","layer":3},{"info":"⋰*⋻-1900+⇶⊼⋰*⋻62351=NaN","layer":2},{"info":"⋰*⋻1177≀⫉⋰*⋻835=⋰*⋻2136","layer":3},{"info":"⋰*⋻1972⨎⋰*⋻1054=⋰*⋻1054","layer":3},{"info":"⋰*⋻2136⫁⪎⋰*⋻1054=⋰*⋻1092","layer":2},{"info":"NaN⫘⋰*⋻1092=NaN","layer":1},{"info":"⋰*⋻563A≴⪞⇿⋰*⋻19A9=⋰*⋻52804935","layer":3},{"info":"⫡⇟⇯⋰*⋻52804935=⋰*⋻A550A389","layer":2},{"info":"⨛⋰*⋻A550A389=NaN","layer":1},{"info":"NaN⋭≵NaN=⋰*⋻61","layer":0}]}
{"id":682,"expression_no_base_symbol":"(($1467$≨$1921$⪨≂$3965$⪨⊡$3016$)⩵∡$1809$⊱⇼⊻$1428$⪢(⫵↿$2111$))⫁⪎((⋣($4526$⪚$5275$))⋣⋖(($4828$↫)⋅⇍$1430$⩇∃⫛$6339$))","expression":"((⋰*⋻1114≨⋰*⋻1497⪨≂⋰*⋻2A85⪨⊡⋰*⋻22A2)⩵∡⋰*⋻13A5⊱⇼⊻⋰*⋻1089⪢(⫵↿⋰*⋻164A))⫁⪎((⋣(⋰*⋻3445⪚⋰*⋻3A66))⋣⋖((⋰*⋻369A↫)⋅⇍⋰*⋻1090⩇∃⫛⋰*⋻4843))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":556,"operation_count":14,"complexity_ratio":39.714285714285715,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1467,"base":11},"right_expr":{"type":"numeric_atoms","value":1921,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3965,"base":11},"right_expr":{"type":"numeric_atoms","value":3016,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1809,"base":11},"right_expr":{"type":"numeric_atoms","value":1428,"base":11}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2111,"base":11}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4526,"base":11},"right_expr":{"type":"numeric_atoms","value":5275,"base":11}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":4828,"base":11}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1430,"base":11},"right_expr":{"type":"numeric_atoms","value":6339,"base":11}}}}},"used_operators":["xRrnTEsQ6j","Y7wcNGrDQJ","sdazOOVcIp","0KMCeP1Jsh","kuIXHzHcAH","dWAJyo7jo9","FyVja0WsTP","ivGwdmUAux","J0M6qkBnIM","zQWRhDnn8F","HrjLwUk87U","AdZkA7nFnk","uPb5QRN0te","1aApVXNlOP"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=1921, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12194","layer":3},{"info":"number node, value=3965","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=3965, right_input=3016, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12194, 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=-24286","layer":2},{"info":"number node, value=1809","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=1428, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=2111","layer":4},{"info":"compute unary expreesion, input=2111, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=137, 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=-24286, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=4526","layer":4},{"info":"number node, value=5275","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=5275, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1854","layer":3},{"info":"compute unary expreesion, input=-1854, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"number node, value=4828","layer":4},{"info":"compute unary expreesion, input=4828, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"number node, value=1430","layer":4},{"info":"number node, value=6339","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=6339, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=5382","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5382, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=-22, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-113, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1114≨⋰*⋻1497⪨≂⋰*⋻2A85⪨⊡⋰*⋻22A2)⩵∡⋰*⋻13A5⊱⇼⊻⋰*⋻1089⪢(⫵↿⋰*⋻164A))⫁⪎((⋣(⋰*⋻3445⪚⋰*⋻3A66))⋣⋖((⋰*⋻369A↫)⋅⇍⋰*⋻1090⩇∃⫛⋰*⋻4843))=NaN","reverse_text":"NaN=((⋰*⋻1114≨⋰*⋻1497⪨≂⋰*⋻2A85⪨⊡⋰*⋻22A2)⩵∡⋰*⋻13A5⊱⇼⊻⋰*⋻1089⪢(⫵↿⋰*⋻164A))⫁⪎((⋣(⋰*⋻3445⪚⋰*⋻3A66))⋣⋖((⋰*⋻369A↫)⋅⇍⋰*⋻1090⩇∃⫛⋰*⋻4843))","cot":[{"info":"⋰*⋻1114≨⋰*⋻1497=⋰*⋻-9186","layer":3},{"info":"⋰*⋻2A85⪨⊡⋰*⋻22A2=⋰*⋻0","layer":3},{"info":"⋰*⋻-9186⪨≂⋰*⋻0=⋰*⋻-17279","layer":2},{"info":"⋰*⋻13A5⊱⇼⊻⋰*⋻1089=⋰*⋻365","layer":3},{"info":"⫵↿⋰*⋻164A=⋰*⋻115","layer":3},{"info":"⋰*⋻365⪢⋰*⋻115=NaN","layer":2},{"info":"⋰*⋻-17279⩵∡NaN=NaN","layer":1},{"info":"⋰*⋻3445⪚⋰*⋻3A66=⋰*⋻-1436","layer":3},{"info":"⋣⋰*⋻-1436=⋰*⋻-A3","layer":2},{"info":"⋰*⋻369A↫=⋰*⋻136","layer":3},{"info":"⋰*⋻1090⩇∃⫛⋰*⋻4843=⋰*⋻4053","layer":3},{"info":"⋰*⋻136⋅⇍⋰*⋻4053=⋰*⋻-20","layer":2},{"info":"⋰*⋻-A3⋣⋖⋰*⋻-20=⋰*⋻-A3","layer":1},{"info":"NaN⫁⪎⋰*⋻-A3=NaN","layer":0}]}
{"id":683,"expression_no_base_symbol":"⨦⪝((($5741$⫳≱↱$1222$)⩘$1868$⪒⊣⊆$7010$)⩖⊿(($3281$⨔≚≋$1216$)⪘⫢($5540$⪭≯$1517$)))","expression":"⨦⪝(((⋰*⋻434A⫳≱↱⋰*⋻A11)⩘⋰*⋻1449⪒⊣⊆⋰*⋻52A3)⩖⊿((⋰*⋻2513⨔≚≋⋰*⋻A06)⪘⫢(⋰*⋻4187⪭≯⋰*⋻115A)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":700,"operation_count":8,"complexity_ratio":87.5,"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":5741,"base":11},"right_expr":{"type":"numeric_atoms","value":1222,"base":11}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1868,"base":11},"right_expr":{"type":"numeric_atoms","value":7010,"base":11}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3281,"base":11},"right_expr":{"type":"numeric_atoms","value":1216,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5540,"base":11},"right_expr":{"type":"numeric_atoms","value":1517,"base":11}}}}},"used_operators":["SUjycxNXIR","RZ5CV9rWsJ","cHh1gJQ2o6","ZvLB05nZmT","eRqsBgTDFp","oacrs7FA3X","Z57zeUYC9z","XAx5wpdLa6"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","sdazOOVcIp","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"⋰*⋻-1463","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5741","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=5741, right_input=1222, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1868","layer":4},{"info":"number node, value=7010","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=7010, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3736","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=3736, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=3281","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=1216, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=5540","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=5540, right_input=1517, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9872, 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=160, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":11,"result_base":11,"text":"⨦⪝(((⋰*⋻434A⫳≱↱⋰*⋻A11)⩘⋰*⋻1449⪒⊣⊆⋰*⋻52A3)⩖⊿((⋰*⋻2513⨔≚≋⋰*⋻A06)⪘⫢(⋰*⋻4187⪭≯⋰*⋻115A)))=⋰*⋻-1463","reverse_text":"⋰*⋻-1463=⨦⪝(((⋰*⋻434A⫳≱↱⋰*⋻A11)⩘⋰*⋻1449⪒⊣⊆⋰*⋻52A3)⩖⊿((⋰*⋻2513⨔≚≋⋰*⋻A06)⪘⫢(⋰*⋻4187⪭≯⋰*⋻115A)))","cot":[{"info":"⋰*⋻434A⫳≱↱⋰*⋻A11=⋰*⋻-176","layer":3},{"info":"⋰*⋻1449⪒⊣⊆⋰*⋻52A3=⋰*⋻2897","layer":3},{"info":"⋰*⋻-176⩘⋰*⋻2897=⋰*⋻136","layer":2},{"info":"⋰*⋻2513⨔≚≋⋰*⋻A06=⋰*⋻7465","layer":3},{"info":"⋰*⋻4187⪭≯⋰*⋻115A=NaN","layer":3},{"info":"⋰*⋻7465⪘⫢NaN=NaN","layer":2},{"info":"⋰*⋻136⩖⊿NaN=NaN","layer":1},{"info":"⨦⪝NaN=⋰*⋻-1463","layer":0}]}
{"id":684,"expression_no_base_symbol":"≘(≑⋹(($2395$⇚⪠)⨭⪣($5311$/$2115$)))","expression":"≘(≑⋹((⋰*⋻1888⇚⪠)⨭⪣(⋰*⋻3A99/⋰*⋻1653)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2755,"operation_count":5,"complexity_ratio":551.0,"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":2395,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5311,"base":11},"right_expr":{"type":"numeric_atoms","value":2115,"base":11}}}}},"used_operators":["tcjXMdvYtA","6B9nyZLogK","kn8WO9XteQ","Loh9y4A90B","XhwjNDsVaA"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","rysDP5nf3Z"],"result":"⋰*⋻2066073","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2395","layer":4},{"info":"compute unary expreesion, input=2395, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=11472050","layer":3},{"info":"number node, value=5311","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=5311, right_input=2115, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=11472050, right_input=2, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=11470771","layer":2},{"info":"compute unary expreesion, input=11470771, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute unary expreesion, input=1650, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3639034","layer":0}],"base":11,"result_base":11,"text":"≘(≑⋹((⋰*⋻1888⇚⪠)⨭⪣(⋰*⋻3A99/⋰*⋻1653)))=⋰*⋻2066073","reverse_text":"⋰*⋻2066073=≘(≑⋹((⋰*⋻1888⇚⪠)⨭⪣(⋰*⋻3A99/⋰*⋻1653)))","cot":[{"info":"⋰*⋻1888⇚⪠=⋰*⋻6526137","layer":3},{"info":"⋰*⋻3A99/⋰*⋻1653=⋰*⋻2","layer":3},{"info":"⋰*⋻6526137⨭⪣⋰*⋻2=⋰*⋻6525184","layer":2},{"info":"≑⋹⋰*⋻6525184=⋰*⋻1270","layer":1},{"info":"≘⋰*⋻1270=⋰*⋻2066073","layer":0}]}
{"id":685,"expression_no_base_symbol":"∑⇻≧$4141$⫁⪎$2647$⩒⫫($1357$⋓$1329$)≳⇉($1031$∷$1156$)⇻⋧≁($1397$⋅⇍$6972$)","expression":"∑⇻≧⋰*⋻3125⫁⪎⋰*⋻1A97⩒⫫(⋰*⋻1024⋓⋰*⋻AA9)≳⇉(⋰*⋻858∷⋰*⋻961)⇻⋧≁(⋰*⋻1060⋅⇍⋰*⋻5269)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2835632,"operation_count":8,"complexity_ratio":354454.0,"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":4141,"base":11},"right_expr":{"type":"numeric_atoms","value":2647,"base":11}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1357,"base":11},"right_expr":{"type":"numeric_atoms","value":1329,"base":11}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1031,"base":11},"right_expr":{"type":"numeric_atoms","value":1156,"base":11}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1397,"base":11},"right_expr":{"type":"numeric_atoms","value":6972,"base":11}}}}},"used_operators":["l1M9WJ3V7u","V0kx6qeWkN","KFSx94NKJn","xRrnTEsQ6j","T2fj7uvVaJ","jCPkEVoL5K","D3AQDKkPcf","AdZkA7nFnk"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⋰*⋻-705","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4141","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=4141, right_input=2647, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1494","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=1329, 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=1494, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1192","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1156, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1156","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=6972","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=6972, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=1156, right_input=-22, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=1192, right_input=-447, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":11,"result_base":11,"text":"∑⇻≧⋰*⋻3125⫁⪎⋰*⋻1A97⩒⫫(⋰*⋻1024⋓⋰*⋻AA9)≳⇉(⋰*⋻858∷⋰*⋻961)⇻⋧≁(⋰*⋻1060⋅⇍⋰*⋻5269)=⋰*⋻-705","reverse_text":"⋰*⋻-705=∑⇻≧⋰*⋻3125⫁⪎⋰*⋻1A97⩒⫫(⋰*⋻1024⋓⋰*⋻AA9)≳⇉(⋰*⋻858∷⋰*⋻961)⇻⋧≁(⋰*⋻1060⋅⇍⋰*⋻5269)","cot":[{"info":"⋰*⋻3125⫁⪎⋰*⋻1A97=⋰*⋻1139","layer":3},{"info":"⋰*⋻1024⋓⋰*⋻AA9=⋰*⋻0","layer":3},{"info":"⋰*⋻1139⩒⫫⋰*⋻0=⋰*⋻994","layer":2},{"info":"⋰*⋻858∷⋰*⋻961=⋰*⋻961","layer":3},{"info":"⋰*⋻1060⋅⇍⋰*⋻5269=⋰*⋻-20","layer":3},{"info":"⋰*⋻961⇻⋧≁⋰*⋻-20=⋰*⋻-377","layer":2},{"info":"⋰*⋻994≳⇉⋰*⋻-377=NaN","layer":1},{"info":"∑⇻≧NaN=⋰*⋻-705","layer":0}]}
{"id":686,"expression_no_base_symbol":"($1775$⪛$2938$∌↝($1111$∕⩚$6386$)⪠⩆⊳)⫏⊷","expression":"(⋰*⋻1374⪛⋰*⋻2231∌↝(⋰*⋻920∕⩚⋰*⋻4886)⪠⩆⊳)⫏⊷","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1271,"operation_count":5,"complexity_ratio":254.2,"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":1775,"base":11},"right_expr":{"type":"numeric_atoms","value":2938,"base":11}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1111,"base":11},"right_expr":{"type":"numeric_atoms","value":6386,"base":11}}}}},"used_operators":["dcShxvzhyw","JLbD19bQDL","9Isq31Ruls","uFcxV4UQCh","z9ffQ9n5Zr"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⋰*⋻-684","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1775","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=1775, right_input=2938, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1775","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=6386","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=6386, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1114","layer":3},{"info":"compute binary expreesion, left_input=1775, right_input=-1114, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=3550","layer":2},{"info":"compute unary expreesion, input=3550, 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 = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1374⪛⋰*⋻2231∌↝(⋰*⋻920∕⩚⋰*⋻4886)⪠⩆⊳)⫏⊷=⋰*⋻-684","reverse_text":"⋰*⋻-684=(⋰*⋻1374⪛⋰*⋻2231∌↝(⋰*⋻920∕⩚⋰*⋻4886)⪠⩆⊳)⫏⊷","cot":[{"info":"⋰*⋻1374⪛⋰*⋻2231=⋰*⋻1374","layer":3},{"info":"⋰*⋻920∕⩚⋰*⋻4886=⋰*⋻-923","layer":3},{"info":"⋰*⋻1374∌↝⋰*⋻-923=⋰*⋻2738","layer":2},{"info":"⋰*⋻2738⪠⩆⊳=⋰*⋻0","layer":1},{"info":"⋰*⋻0⫏⊷=⋰*⋻-684","layer":0}]}
{"id":687,"expression_no_base_symbol":"(↴⪽⋼$1171$⩦$4689$)⫥∨⫟($3663$⫁$2995$⇼⇔∾($1939$≣⋋))⪁(⇁⨣⪵(⋗⩴⪓$1402$)⨫⇇↔$3706$∴$1772$)","expression":"(↴⪽⋼⋰*⋻975⩦⋰*⋻3583)⫥∨⫟(⋰*⋻2830⫁⋰*⋻2283⇼⇔∾(⋰*⋻1503≣⋋))⪁(⇁⨣⪵(⋗⩴⪓⋰*⋻1065)⨫⇇↔⋰*⋻286A∴⋰*⋻1371)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2287,"operation_count":11,"complexity_ratio":207.9090909090909,"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":1171,"base":11},"right_expr":{"type":"numeric_atoms","value":4689,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3663,"base":11},"right_expr":{"type":"numeric_atoms","value":2995,"base":11}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1939,"base":11}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1402,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3706,"base":11},"right_expr":{"type":"numeric_atoms","value":1772,"base":11}}}}},"used_operators":["I7sXao9hZE","KYD54nUTWz","5TUYCnJO6w","0kmYd0q39Y","tifHPKVTfV","0ajvFaJAv0","Tcnh7f0tEr","inkyxCbjAn","LXhwmt4mBO","nOKPl9n5zu","hrf7POJlIJ"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","8HhzD0ZcuI","rGHVDoGpnC","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","B5M0gjZbta","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1171","layer":4},{"info":"number node, value=4689","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=4689, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2342","layer":3},{"info":"compute unary expreesion, input=2342, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2342","layer":2},{"info":"number node, value=3663","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=3663, right_input=2995, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1939","layer":4},{"info":"compute unary expreesion, input=1939, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-160","layer":2},{"info":"compute binary expreesion, left_input=2342, right_input=-160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1402","layer":4},{"info":"compute unary expreesion, input=1402, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-489","layer":3},{"info":"number node, value=3706","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=3706, right_input=1772, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9060","layer":3},{"info":"compute binary expreesion, left_input=-489, right_input=9060, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, 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 = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↴⪽⋼⋰*⋻975⩦⋰*⋻3583)⫥∨⫟(⋰*⋻2830⫁⋰*⋻2283⇼⇔∾(⋰*⋻1503≣⋋))⪁(⇁⨣⪵(⋗⩴⪓⋰*⋻1065)⨫⇇↔⋰*⋻286A∴⋰*⋻1371)=NaN","reverse_text":"NaN=(↴⪽⋼⋰*⋻975⩦⋰*⋻3583)⫥∨⫟(⋰*⋻2830⫁⋰*⋻2283⇼⇔∾(⋰*⋻1503≣⋋))⪁(⇁⨣⪵(⋗⩴⪓⋰*⋻1065)⨫⇇↔⋰*⋻286A∴⋰*⋻1371)","cot":[{"info":"⋰*⋻975⩦⋰*⋻3583=⋰*⋻183A","layer":3},{"info":"↴⪽⋼⋰*⋻183A=⋰*⋻183A","layer":2},{"info":"⋰*⋻2830⫁⋰*⋻2283=⋰*⋻136","layer":3},{"info":"⋰*⋻1503≣⋋=⋰*⋻0","layer":3},{"info":"⋰*⋻136⇼⇔∾⋰*⋻0=⋰*⋻-136","layer":2},{"info":"⋰*⋻183A⫥∨⫟⋰*⋻-136=NaN","layer":1},{"info":"⋗⩴⪓⋰*⋻1065=⋰*⋻-405","layer":3},{"info":"⋰*⋻286A∴⋰*⋻1371=⋰*⋻6897","layer":3},{"info":"⋰*⋻-405⨫⇇↔⋰*⋻6897=⋰*⋻-43A","layer":2},{"info":"⇁⨣⪵⋰*⋻-43A=NaN","layer":1},{"info":"NaN⪁NaN=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"($2693$⪟⇏$1573$≄⊠(↔$5603$)⋭≵($7311$⨔≚≋$1459$⫦⪉($4653$↪⪝)))∝((∡$5611$)⫁$6776$⪬$1359$↸(⨑⩽⪐(⫟$1882$)))","expression":"(⋰*⋻2029⪟⇏⋰*⋻1200≄⊠(↔⋰*⋻4234)⋭≵(⋰*⋻5547⨔≚≋⋰*⋻1107⫦⪉(⋰*⋻3550↪⪝)))∝((∡⋰*⋻4241)⫁⋰*⋻5100⪬⋰*⋻1026↸(⨑⩽⪐(⫟⋰*⋻1461)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1834,"operation_count":14,"complexity_ratio":131.0,"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":2693,"base":11},"right_expr":{"type":"numeric_atoms","value":1573,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5603,"base":11}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":7311,"base":11},"right_expr":{"type":"numeric_atoms","value":1459,"base":11}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4653,"base":11}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":5611,"base":11}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":6776,"base":11},"right_expr":{"type":"numeric_atoms","value":1359,"base":11}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1882,"base":11}}}}},"used_operators":["cTDWOvIxvz","jBncVCNhdl","vXNesLlMH1","GODebY97qR","ruOEQAzv1W","wscyQdcy20","Z57zeUYC9z","l07mrZUIn9","1eCjFl0mb9","0ajvFaJAv0","pRsWfj4Fpp","Ez1Nq5fNfI","AF7qkfDlqP","z4E1FaHLuy"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","cHh1gJQ2o6","AHs5Up7iyr","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"⋰*⋻66","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2693","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=1573, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=5603","layer":4},{"info":"compute unary expreesion, input=5603, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5330","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-5330, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=7311","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=7311, right_input=1459, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=4653","layer":4},{"info":"compute unary expreesion, input=4653, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=284679846","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=284679846, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-14844","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-14844, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=5611","layer":4},{"info":"compute unary expreesion, input=5611, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5611","layer":3},{"info":"number node, value=6776","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=6776, right_input=1359, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-5611, right_input=1234, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1882","layer":4},{"info":"compute unary expreesion, input=1882, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-4739","layer":3},{"info":"compute unary expreesion, input=-4739, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=10267","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=10267, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=72","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2029⪟⇏⋰*⋻1200≄⊠(↔⋰*⋻4234)⋭≵(⋰*⋻5547⨔≚≋⋰*⋻1107⫦⪉(⋰*⋻3550↪⪝)))∝((∡⋰*⋻4241)⫁⋰*⋻5100⪬⋰*⋻1026↸(⨑⩽⪐(⫟⋰*⋻1461)))=⋰*⋻66","reverse_text":"⋰*⋻66=(⋰*⋻2029⪟⇏⋰*⋻1200≄⊠(↔⋰*⋻4234)⋭≵(⋰*⋻5547⨔≚≋⋰*⋻1107⫦⪉(⋰*⋻3550↪⪝)))∝((∡⋰*⋻4241)⫁⋰*⋻5100⪬⋰*⋻1026↸(⨑⩽⪐(⫟⋰*⋻1461)))","cot":[{"info":"⋰*⋻2029⪟⇏⋰*⋻1200=⋰*⋻-1","layer":3},{"info":"↔⋰*⋻4234=⋰*⋻-4006","layer":3},{"info":"⋰*⋻-1≄⊠⋰*⋻-4006=⋰*⋻1144","layer":2},{"info":"⋰*⋻5547⨔≚≋⋰*⋻1107=⋰*⋻7465","layer":3},{"info":"⋰*⋻3550↪⪝=⋰*⋻136770200","layer":3},{"info":"⋰*⋻7465⫦⪉⋰*⋻136770200=⋰*⋻-10175","layer":2},{"info":"⋰*⋻1144⋭≵⋰*⋻-10175=⋰*⋻61","layer":1},{"info":"∡⋰*⋻4241=⋰*⋻-4241","layer":3},{"info":"⋰*⋻5100⪬⋰*⋻1026=⋰*⋻A22","layer":3},{"info":"⋰*⋻-4241⫁⋰*⋻A22=⋰*⋻136","layer":2},{"info":"⫟⋰*⋻1461=⋰*⋻-3619","layer":3},{"info":"⨑⩽⪐⋰*⋻-3619=⋰*⋻7794","layer":2},{"info":"⋰*⋻136↸⋰*⋻7794=⋰*⋻136","layer":1},{"info":"⋰*⋻61∝⋰*⋻136=⋰*⋻66","layer":0}]}
{"id":689,"expression_no_base_symbol":"((≛$8169$⨳⩥⨓$4770$)⫡⨏(≸≮($5304$+⇶⊼$1369$)))↱($6530$⫰⋱$1939$⩨$5812$≀⩗∶$2859$-(⩦⩻⨪$1017$)⫸⊐(↩⪖$3445$))","expression":"((≛⋰*⋻6157⨳⩥⨓⋰*⋻3647)⫡⨏(≸≮(⋰*⋻3A92+⇶⊼⋰*⋻1035)))↱(⋰*⋻49A7⫰⋱⋰*⋻1503⩨⋰*⋻4404≀⩗∶⋰*⋻216A-(⩦⩻⨪⋰*⋻845)⫸⊐(↩⪖⋰*⋻2652))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":176,"operation_count":13,"complexity_ratio":13.538461538461538,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8169,"base":11},"right_expr":{"type":"numeric_atoms","value":4770,"base":11}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5304,"base":11},"right_expr":{"type":"numeric_atoms","value":1369,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6530,"base":11},"right_expr":{"type":"numeric_atoms","value":1939,"base":11}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5812,"base":11},"right_expr":{"type":"numeric_atoms","value":2859,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1017,"base":11}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3445,"base":11}}}}},"used_operators":["SR5kFfdi6N","QMFrweE19q","W7eaUhjymW","nCS4ZIUYfx","AljMvE3RRm","TpPTUOHfaN","rysDP5nf3Z","2DlMacCsIx","6o9Blt3TJ6","8INZBEW696","mqXw5SEYmG","2td37pGCOC","fG6uBQFnGz"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋰*⋻-97579","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8169","layer":4},{"info":"number node, value=4770","layer":4},{"info":"compute binary expreesion, left_input=8169, right_input=4770, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3399","layer":3},{"info":"compute unary expreesion, input=-3399, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-7035","layer":2},{"info":"number node, value=5304","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=1369, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7035, 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=6530","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=6530, right_input=1939, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6497","layer":3},{"info":"number node, value=5812","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=5812, right_input=2859, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6497, 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=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1017","layer":3},{"info":"number node, value=3445","layer":4},{"info":"compute unary expreesion, input=3445, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-23652","layer":3},{"info":"compute binary expreesion, left_input=1017, right_input=-23652, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-47433","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-47433, op_id = rysDP5nf3Z binary_op_definition= 'None', output=47433","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=47433, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-141777","layer":0}],"base":11,"result_base":11,"text":"((≛⋰*⋻6157⨳⩥⨓⋰*⋻3647)⫡⨏(≸≮(⋰*⋻3A92+⇶⊼⋰*⋻1035)))↱(⋰*⋻49A7⫰⋱⋰*⋻1503⩨⋰*⋻4404≀⩗∶⋰*⋻216A-(⩦⩻⨪⋰*⋻845)⫸⊐(↩⪖⋰*⋻2652))=⋰*⋻-97579","reverse_text":"⋰*⋻-97579=((≛⋰*⋻6157⨳⩥⨓⋰*⋻3647)⫡⨏(≸≮(⋰*⋻3A92+⇶⊼⋰*⋻1035)))↱(⋰*⋻49A7⫰⋱⋰*⋻1503⩨⋰*⋻4404≀⩗∶⋰*⋻216A-(⩦⩻⨪⋰*⋻845)⫸⊐(↩⪖⋰*⋻2652))","cot":[{"info":"⋰*⋻6157⨳⩥⨓⋰*⋻3647=⋰*⋻-2610","layer":3},{"info":"≛⋰*⋻-2610=⋰*⋻-5316","layer":2},{"info":"⋰*⋻3A92+⇶⊼⋰*⋻1035=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"⋰*⋻-5316⫡⨏NaN=NaN","layer":1},{"info":"⋰*⋻49A7⫰⋱⋰*⋻1503=⋰*⋻-4977","layer":3},{"info":"⋰*⋻4404≀⩗∶⋰*⋻216A=⋰*⋻0","layer":3},{"info":"⋰*⋻-4977⩨⋰*⋻0=⋰*⋻0","layer":2},{"info":"⩦⩻⨪⋰*⋻845=⋰*⋻845","layer":3},{"info":"↩⪖⋰*⋻2652=⋰*⋻-16852","layer":3},{"info":"⋰*⋻845⫸⊐⋰*⋻-16852=⋰*⋻-32701","layer":2},{"info":"⋰*⋻0-⋰*⋻-32701=⋰*⋻32701","layer":1},{"info":"NaN↱⋰*⋻32701=⋰*⋻-97579","layer":0}]}
{"id":690,"expression_no_base_symbol":"⊗(⨙⪌((⨈⪑$1009$)↹⊜($1217$⪡$1067$)))","expression":"⊗(⨙⪌((⨈⪑⋰*⋻838)↹⊜(⋰*⋻A07⪡⋰*⋻890)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1052,"operation_count":5,"complexity_ratio":210.4,"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":1009,"base":11}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1217,"base":11},"right_expr":{"type":"numeric_atoms","value":1067,"base":11}}}}},"used_operators":["RhiyfpczSx","vEGLkm4Z2k","9bazX3JMtO","mp94q5OcYM","oraRL2iQuh"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋰*⋻-1339","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1067, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=107, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=1212","layer":2},{"info":"compute unary expreesion, input=1212, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-1736","layer":0}],"base":11,"result_base":11,"text":"⊗(⨙⪌((⨈⪑⋰*⋻838)↹⊜(⋰*⋻A07⪡⋰*⋻890)))=⋰*⋻-1339","reverse_text":"⋰*⋻-1339=⊗(⨙⪌((⨈⪑⋰*⋻838)↹⊜(⋰*⋻A07⪡⋰*⋻890)))","cot":[{"info":"⨈⪑⋰*⋻838=⋰*⋻71A","layer":3},{"info":"⋰*⋻A07⪡⋰*⋻890=⋰*⋻98","layer":3},{"info":"⋰*⋻71A↹⊜⋰*⋻98=⋰*⋻A02","layer":2},{"info":"⨙⪌⋰*⋻A02=⋰*⋻71A","layer":1},{"info":"⊗⋰*⋻71A=⋰*⋻-1339","layer":0}]}
{"id":691,"expression_no_base_symbol":"($5553$⩦$4100$∺≝⩲($2092$⨔≚≋$3700$)⩹($1451$⩵∡$4865$)⨽(⫯$1749$))⪇≇⋚($1208$⪭≯$6760$⪁$2091$⩌⋺$6179$)⊔($4340$⋓$2878$)⩦($8020$⫡⨏$3032$)","expression":"(⋰*⋻4199⩦⋰*⋻3098∺≝⩲(⋰*⋻1632⨔≚≋⋰*⋻2864)⩹(⋰*⋻10AA⩵∡⋰*⋻3723)⨽(⫯⋰*⋻1350))⪇≇⋚(⋰*⋻9A9⪭≯⋰*⋻5096⪁⋰*⋻1631⩌⋺⋰*⋻4708)⊔(⋰*⋻3296⋓⋰*⋻2187)⩦(⋰*⋻6031⫡⨏⋰*⋻2307)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10674,"operation_count":15,"complexity_ratio":711.6,"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":5553,"base":11},"right_expr":{"type":"numeric_atoms","value":4100,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2092,"base":11},"right_expr":{"type":"numeric_atoms","value":3700,"base":11}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1451,"base":11},"right_expr":{"type":"numeric_atoms","value":4865,"base":11}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1749,"base":11}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1208,"base":11},"right_expr":{"type":"numeric_atoms","value":6760,"base":11}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2091,"base":11},"right_expr":{"type":"numeric_atoms","value":6179,"base":11}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4340,"base":11},"right_expr":{"type":"numeric_atoms","value":2878,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8020,"base":11},"right_expr":{"type":"numeric_atoms","value":3032,"base":11}}}}},"used_operators":["3sJ7IOPOlU","2Wsdkap16l","KPf6cnQVty","0kmYd0q39Y","Z57zeUYC9z","8HhzD0ZcuI","Y7wcNGrDQJ","H6BK1Evt7c","E4l6HwMY31","I7sXao9hZE","XAx5wpdLa6","g7Hmc5v1ko","T2fj7uvVaJ","QMFrweE19q"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","glklzrTFfD","tifHPKVTfV","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5553","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=5553, right_input=4100, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=11106","layer":3},{"info":"number node, value=2092","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=3700, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=11106, right_input=9872, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1451","layer":4},{"info":"number node, value=4865","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=4865, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1842","layer":3},{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-58670","layer":3},{"info":"compute binary expreesion, left_input=1842, right_input=-58670, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10001568","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-10001568, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-10001570","layer":1},{"info":"number node, value=1208","layer":4},{"info":"number node, value=6760","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=6760, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=2091","layer":4},{"info":"number node, value=6179","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=6179, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8391","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8391, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=4340","layer":4},{"info":"number node, value=2878","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=2878, 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=8020","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=8020, right_input=3032, 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=46947","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=46947, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10001570, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4199⩦⋰*⋻3098∺≝⩲(⋰*⋻1632⨔≚≋⋰*⋻2864)⩹(⋰*⋻10AA⩵∡⋰*⋻3723)⨽(⫯⋰*⋻1350))⪇≇⋚(⋰*⋻9A9⪭≯⋰*⋻5096⪁⋰*⋻1631⩌⋺⋰*⋻4708)⊔(⋰*⋻3296⋓⋰*⋻2187)⩦(⋰*⋻6031⫡⨏⋰*⋻2307)=NaN","reverse_text":"NaN=(⋰*⋻4199⩦⋰*⋻3098∺≝⩲(⋰*⋻1632⨔≚≋⋰*⋻2864)⩹(⋰*⋻10AA⩵∡⋰*⋻3723)⨽(⫯⋰*⋻1350))⪇≇⋚(⋰*⋻9A9⪭≯⋰*⋻5096⪁⋰*⋻1631⩌⋺⋰*⋻4708)⊔(⋰*⋻3296⋓⋰*⋻2187)⩦(⋰*⋻6031⫡⨏⋰*⋻2307)","cot":[{"info":"⋰*⋻4199⩦⋰*⋻3098=⋰*⋻8387","layer":3},{"info":"⋰*⋻1632⨔≚≋⋰*⋻2864=⋰*⋻7465","layer":3},{"info":"⋰*⋻8387∺≝⩲⋰*⋻7465=⋰*⋻136","layer":2},{"info":"⋰*⋻10AA⩵∡⋰*⋻3723=⋰*⋻1425","layer":3},{"info":"⫯⋰*⋻1350=⋰*⋻-40097","layer":3},{"info":"⋰*⋻1425⨽⋰*⋻-40097=⋰*⋻-5711365","layer":2},{"info":"⋰*⋻136⩹⋰*⋻-5711365=⋰*⋻-5711367","layer":1},{"info":"⋰*⋻9A9⪭≯⋰*⋻5096=NaN","layer":3},{"info":"⋰*⋻1631⩌⋺⋰*⋻4708=⋰*⋻-6339","layer":3},{"info":"NaN⪁⋰*⋻-6339=NaN","layer":2},{"info":"⋰*⋻3296⋓⋰*⋻2187=⋰*⋻0","layer":3},{"info":"⋰*⋻6031⫡⨏⋰*⋻2307=⋰*⋻322AA","layer":3},{"info":"⋰*⋻0⩦⋰*⋻322AA=⋰*⋻0","layer":2},{"info":"NaN⊔⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻-5711367⪇≇⋚NaN=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"⩏⊷≩($1019$⫦⪉$2452$)⇂≾⫗(⩦⩻⨪$2379$)↤⩊((⇁⨣⪵$3250$)⩦($1399$↡⊰⫅$7588$))","expression":"⩏⊷≩(⋰*⋻847⫦⪉⋰*⋻192A)⇂≾⫗(⩦⩻⨪⋰*⋻1873)↤⩊((⇁⨣⪵⋰*⋻2495)⩦(⋰*⋻1062↡⊰⫅⋰*⋻5779))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":106536,"operation_count":8,"complexity_ratio":13317.0,"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":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":2452,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2379,"base":11}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3250,"base":11}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1399,"base":11},"right_expr":{"type":"numeric_atoms","value":7588,"base":11}}}}},"used_operators":["uOZ1tnYMDE","13rbtpv6ld","aBQ6xLxuTc","wscyQdcy20","2td37pGCOC","0kmYd0q39Y","inkyxCbjAn","VCtxkLNOzz"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","B5M0gjZbta","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=2452, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2862","layer":3},{"info":"number node, value=2379","layer":4},{"info":"compute unary expreesion, input=2379, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2379","layer":3},{"info":"compute binary expreesion, left_input=2862, right_input=2379, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=3250","layer":4},{"info":"compute unary expreesion, input=3250, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=7588","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=7588, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=15176","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15176, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩏⊷≩(⋰*⋻847⫦⪉⋰*⋻192A)⇂≾⫗(⩦⩻⨪⋰*⋻1873)↤⩊((⇁⨣⪵⋰*⋻2495)⩦(⋰*⋻1062↡⊰⫅⋰*⋻5779))=NaN","reverse_text":"NaN=⩏⊷≩(⋰*⋻847⫦⪉⋰*⋻192A)⇂≾⫗(⩦⩻⨪⋰*⋻1873)↤⩊((⇁⨣⪵⋰*⋻2495)⩦(⋰*⋻1062↡⊰⫅⋰*⋻5779))","cot":[{"info":"⋰*⋻847⫦⪉⋰*⋻192A=⋰*⋻2172","layer":3},{"info":"⩦⩻⨪⋰*⋻1873=⋰*⋻1873","layer":3},{"info":"⋰*⋻2172⇂≾⫗⋰*⋻1873=⋰*⋻-565","layer":2},{"info":"⇁⨣⪵⋰*⋻2495=NaN","layer":3},{"info":"⋰*⋻1062↡⊰⫅⋰*⋻5779=⋰*⋻10447","layer":3},{"info":"NaN⩦⋰*⋻10447=NaN","layer":2},{"info":"⋰*⋻-565↤⩊NaN=NaN","layer":1},{"info":"⩏⊷≩NaN=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"⨂⪏⇭($1283$⨓$2645$⫢⨠$2338$≨$1592$⫚↹⊑($2821$⪶≀⋏$3136$)↳≱($5135$⨔≚≋$1908$))","expression":"⨂⪏⇭(⋰*⋻A67⨓⋰*⋻1A95⫢⨠⋰*⋻1836≨⋰*⋻1218⫚↹⊑(⋰*⋻2135⪶≀⋏⋰*⋻23A1)↳≱(⋰*⋻3949⨔≚≋⋰*⋻1485))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2957,"operation_count":8,"complexity_ratio":369.625,"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":1283,"base":11},"right_expr":{"type":"numeric_atoms","value":2645,"base":11}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2338,"base":11},"right_expr":{"type":"numeric_atoms","value":1592,"base":11}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2821,"base":11},"right_expr":{"type":"numeric_atoms","value":3136,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5135,"base":11},"right_expr":{"type":"numeric_atoms","value":1908,"base":11}}}}},"used_operators":["AYdpE9sXAk","dfKe02y8D2","xlXykHWxX1","3ViojmjbAp","0KMCeP1Jsh","JwTKLfZU96","zR4jO40bMj","Z57zeUYC9z"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⋰*⋻-181A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1283","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=2645, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2648","layer":3},{"info":"number node, value=2338","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=2338, right_input=1592, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-20904","layer":3},{"info":"compute binary expreesion, left_input=-2648, right_input=-20904, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=187146","layer":2},{"info":"number node, value=2821","layer":4},{"info":"number node, value=3136","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=3136, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14967","layer":3},{"info":"number node, value=5135","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=5135, right_input=1908, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-14967, right_input=9872, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=187146, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-2320","layer":0}],"base":11,"result_base":11,"text":"⨂⪏⇭(⋰*⋻A67⨓⋰*⋻1A95⫢⨠⋰*⋻1836≨⋰*⋻1218⫚↹⊑(⋰*⋻2135⪶≀⋏⋰*⋻23A1)↳≱(⋰*⋻3949⨔≚≋⋰*⋻1485))=⋰*⋻-181A","reverse_text":"⋰*⋻-181A=⨂⪏⇭(⋰*⋻A67⨓⋰*⋻1A95⫢⨠⋰*⋻1836≨⋰*⋻1218⫚↹⊑(⋰*⋻2135⪶≀⋏⋰*⋻23A1)↳≱(⋰*⋻3949⨔≚≋⋰*⋻1485))","cot":[{"info":"⋰*⋻A67⨓⋰*⋻1A95=⋰*⋻-1A98","layer":3},{"info":"⋰*⋻1836≨⋰*⋻1218=⋰*⋻-14784","layer":3},{"info":"⋰*⋻-1A98⫢⨠⋰*⋻-14784=⋰*⋻118673","layer":2},{"info":"⋰*⋻2135⪶≀⋏⋰*⋻23A1=⋰*⋻-10277","layer":3},{"info":"⋰*⋻3949⨔≚≋⋰*⋻1485=⋰*⋻7465","layer":3},{"info":"⋰*⋻-10277↳≱⋰*⋻7465=⋰*⋻0","layer":2},{"info":"⋰*⋻118673⫚↹⊑⋰*⋻0=⋰*⋻-377","layer":1},{"info":"⨂⪏⇭⋰*⋻-377=⋰*⋻-181A","layer":0}]}
{"id":694,"expression_no_base_symbol":"⫵↿(($4684$⪁$2970$)⨚⇆($1174$⪛⫼$5906$)⊨(⊵⊁($1880$⫲)))","expression":"⫵↿((⋰*⋻3579⪁⋰*⋻2260)⨚⇆(⋰*⋻978⪛⫼⋰*⋻448A)⊨(⊵⊁(⋰*⋻145A⫲)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":106825450,"operation_count":7,"complexity_ratio":15260778.57142857,"tree":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4684,"base":11},"right_expr":{"type":"numeric_atoms","value":2970,"base":11}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1174,"base":11},"right_expr":{"type":"numeric_atoms","value":5906,"base":11}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1880,"base":11}}}}},"used_operators":["ivGwdmUAux","vg4gO5BX6G","lwHaAYXP2r","I7sXao9hZE","hyuBjUqXlG","AvED76WdY7","9xnGDUPbC6"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","uBihLCJcMX","k8jYdgA6NY","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP"],"result":"⋰*⋻115","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=4684","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=4684, right_input=2970, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=5906","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=5906, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=1880","layer":4},{"info":"compute unary expreesion, input=1880, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1607","layer":3},{"info":"compute unary expreesion, input=1607, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=8572","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8572, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":11,"result_base":11,"text":"⫵↿((⋰*⋻3579⪁⋰*⋻2260)⨚⇆(⋰*⋻978⪛⫼⋰*⋻448A)⊨(⊵⊁(⋰*⋻145A⫲)))=⋰*⋻115","reverse_text":"⋰*⋻115=⫵↿((⋰*⋻3579⪁⋰*⋻2260)⨚⇆(⋰*⋻978⪛⫼⋰*⋻448A)⊨(⊵⊁(⋰*⋻145A⫲)))","cot":[{"info":"⋰*⋻3579⪁⋰*⋻2260=NaN","layer":3},{"info":"⋰*⋻978⪛⫼⋰*⋻448A=⋰*⋻800","layer":3},{"info":"NaN⨚⇆⋰*⋻800=NaN","layer":2},{"info":"⋰*⋻145A⫲=⋰*⋻1231","layer":3},{"info":"⊵⊁⋰*⋻1231=⋰*⋻6493","layer":2},{"info":"NaN⊨⋰*⋻6493=NaN","layer":1},{"info":"⫵↿NaN=⋰*⋻115","layer":0}]}
{"id":695,"expression_no_base_symbol":"(⇋⊎⋝(⊤⊝$1037$))⊕∕(→⩰($1680$⨝⩣∺))∙∹∝(($1013$⨐⩸⫘$1648$)⫁⪎($9126$⩹$1714$))⪎↠(($4625$-$1423$)⊢($5828$-$2245$))","expression":"(⇋⊎⋝(⊤⊝⋰*⋻863))⊕∕(→⩰(⋰*⋻1298⨝⩣∺))∙∹∝((⋰*⋻841⨐⩸⫘⋰*⋻1269)⫁⪎(⋰*⋻6947⩹⋰*⋻1319))⪎↠((⋰*⋻3525-⋰*⋻1084)⊢(⋰*⋻4419-⋰*⋻1761))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4385,"operation_count":13,"complexity_ratio":337.3076923076923,"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":1037,"base":11}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1680,"base":11}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1013,"base":11},"right_expr":{"type":"numeric_atoms","value":1648,"base":11}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":9126,"base":11},"right_expr":{"type":"numeric_atoms","value":1714,"base":11}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4625,"base":11},"right_expr":{"type":"numeric_atoms","value":1423,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5828,"base":11},"right_expr":{"type":"numeric_atoms","value":2245,"base":11}}}}},"used_operators":["HmxsFra2vL","9cloC0Ngie","CzM2PEoXns","rXAclfmB4M","o8Pngz0Tml","ancx8kZcWl","3tVxb0NHM4","xRrnTEsQ6j","fu6greOZ01","2Wsdkap16l","5twsqlHp2o","rysDP5nf3Z"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","dWAJyo7jo9","sdazOOVcIp","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","DZ8iAZOCBD","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","3ViojmjbAp","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=776","layer":3},{"info":"compute unary expreesion, input=776, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-3360","layer":3},{"info":"compute unary expreesion, input=-3360, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1648, 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=9126","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=9126, right_input=1714, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1712","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1712, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":2},{"info":"number node, value=4625","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=4625, right_input=1423, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3202","layer":3},{"info":"number node, value=5828","layer":4},{"info":"number node, value=2245","layer":4},{"info":"compute binary expreesion, left_input=5828, right_input=2245, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3583","layer":3},{"info":"compute binary expreesion, left_input=3202, right_input=3583, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6648","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6648, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇋⊎⋝(⊤⊝⋰*⋻863))⊕∕(→⩰(⋰*⋻1298⨝⩣∺))∙∹∝((⋰*⋻841⨐⩸⫘⋰*⋻1269)⫁⪎(⋰*⋻6947⩹⋰*⋻1319))⪎↠((⋰*⋻3525-⋰*⋻1084)⊢(⋰*⋻4419-⋰*⋻1761))=NaN","reverse_text":"NaN=(⇋⊎⋝(⊤⊝⋰*⋻863))⊕∕(→⩰(⋰*⋻1298⨝⩣∺))∙∹∝((⋰*⋻841⨐⩸⫘⋰*⋻1269)⫁⪎(⋰*⋻6947⩹⋰*⋻1319))⪎↠((⋰*⋻3525-⋰*⋻1084)⊢(⋰*⋻4419-⋰*⋻1761))","cot":[{"info":"⊤⊝⋰*⋻863=⋰*⋻646","layer":3},{"info":"⇋⊎⋝⋰*⋻646=NaN","layer":2},{"info":"⋰*⋻1298⨝⩣∺=⋰*⋻-2585","layer":3},{"info":"→⩰⋰*⋻-2585=NaN","layer":2},{"info":"NaN⊕∕NaN=NaN","layer":1},{"info":"⋰*⋻841⨐⩸⫘⋰*⋻1269=NaN","layer":3},{"info":"⋰*⋻6947⩹⋰*⋻1319=⋰*⋻1317","layer":3},{"info":"NaN⫁⪎⋰*⋻1317=NaN","layer":2},{"info":"⋰*⋻3525-⋰*⋻1084=⋰*⋻2451","layer":3},{"info":"⋰*⋻4419-⋰*⋻1761=⋰*⋻2768","layer":3},{"info":"⋰*⋻2451⊢⋰*⋻2768=⋰*⋻-4AA4","layer":2},{"info":"NaN⪎↠⋰*⋻-4AA4=NaN","layer":1},{"info":"NaN∙∹∝NaN=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"($1176$⋕⪉⪜$4901$)⨂≜(⊁⨺$2822$)⪟⇏(⩦⊞($9027$⫸⇳$5503$))≴⪞⇿(⋣$3800$≎⪠$2549$)⨂≜(($1490$⨑≵⋬$3043$)⫯⪬∳($2247$/$4162$))","expression":"(⋰*⋻97A⋕⪉⪜⋰*⋻3756)⨂≜(⊁⨺⋰*⋻2136)⪟⇏(⩦⊞(⋰*⋻6867⫸⇳⋰*⋻4153))≴⪞⇿(⋣⋰*⋻2945≎⪠⋰*⋻1A08)⨂≜((⋰*⋻1135⨑≵⋬⋰*⋻2317)⫯⪬∳(⋰*⋻1763/⋰*⋻3144))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5795347,"operation_count":13,"complexity_ratio":445795.92307692306,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1176,"base":11},"right_expr":{"type":"numeric_atoms","value":4901,"base":11}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2822,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":9027,"base":11},"right_expr":{"type":"numeric_atoms","value":5503,"base":11}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3800,"base":11},"right_expr":{"type":"numeric_atoms","value":2549,"base":11}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1490,"base":11},"right_expr":{"type":"numeric_atoms","value":3043,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2247,"base":11},"right_expr":{"type":"numeric_atoms","value":4162,"base":11}}}}},"used_operators":["lvlrscuwVU","GODebY97qR","k1SHOSEABc","z6LnFrNh4i","PxiHyQbrIp","u7fv1HBiaC","gx7XJ7hdpj","zQWRhDnn8F","aNhz54LH3e","d7ASUq0ydm","XnXgA4xnOs","XhwjNDsVaA"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z"],"result":"⋰*⋻-3421","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"number node, value=4901","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=4901, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"number node, value=2822","layer":4},{"info":"compute unary expreesion, input=2822, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=204, right_input=160, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=9027","layer":4},{"info":"number node, value=5503","layer":4},{"info":"compute binary expreesion, left_input=9027, right_input=5503, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-56","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-56, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=3800","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=3800, right_input=2549, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-5749957","layer":2},{"info":"number node, value=1490","layer":4},{"info":"number node, value=3043","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=3043, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-12472","layer":3},{"info":"number node, value=2247","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=4162, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12472, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=36943","layer":2},{"info":"compute binary expreesion, left_input=-5749957, right_input=36943, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-4500","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻97A⋕⪉⪜⋰*⋻3756)⨂≜(⊁⨺⋰*⋻2136)⪟⇏(⩦⊞(⋰*⋻6867⫸⇳⋰*⋻4153))≴⪞⇿(⋣⋰*⋻2945≎⪠⋰*⋻1A08)⨂≜((⋰*⋻1135⨑≵⋬⋰*⋻2317)⫯⪬∳(⋰*⋻1763/⋰*⋻3144))=⋰*⋻-3421","reverse_text":"⋰*⋻-3421=(⋰*⋻97A⋕⪉⪜⋰*⋻3756)⨂≜(⊁⨺⋰*⋻2136)⪟⇏(⩦⊞(⋰*⋻6867⫸⇳⋰*⋻4153))≴⪞⇿(⋣⋰*⋻2945≎⪠⋰*⋻1A08)⨂≜((⋰*⋻1135⨑≵⋬⋰*⋻2317)⫯⪬∳(⋰*⋻1763/⋰*⋻3144))","cot":[{"info":"⋰*⋻97A⋕⪉⪜⋰*⋻3756=⋰*⋻176","layer":3},{"info":"⊁⨺⋰*⋻2136=⋰*⋻136","layer":3},{"info":"⋰*⋻176⨂≜⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻6867⫸⇳⋰*⋻4153=⋰*⋻0","layer":3},{"info":"⩦⊞⋰*⋻0=⋰*⋻-51","layer":2},{"info":"NaN⪟⇏⋰*⋻-51=⋰*⋻0","layer":1},{"info":"⋰*⋻2945≎⪠⋰*⋻1A08=⋰*⋻13770","layer":3},{"info":"⋣⋰*⋻13770=⋰*⋻-3278034","layer":2},{"info":"⋰*⋻1135⨑≵⋬⋰*⋻2317=⋰*⋻-9409","layer":3},{"info":"⋰*⋻1763/⋰*⋻3144=⋰*⋻0","layer":3},{"info":"⋰*⋻-9409⫯⪬∳⋰*⋻0=⋰*⋻25835","layer":2},{"info":"⋰*⋻-3278034⨂≜⋰*⋻25835=NaN","layer":1},{"info":"⋰*⋻0≴⪞⇿NaN=⋰*⋻-3421","layer":0}]}
{"id":697,"expression_no_base_symbol":"($4647$≎⪠$2425$≥⨤⩑($2857$≀⩗∶$8428$))⫘(⩷($5233$⪭≯$2347$))↰","expression":"(⋰*⋻3545≎⪠⋰*⋻1905≥⨤⩑(⋰*⋻2168≀⩗∶⋰*⋻6372))⫘(⩷(⋰*⋻3A28⪭≯⋰*⋻1844))↰","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20783,"operation_count":7,"complexity_ratio":2969.0,"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":4647,"base":11},"right_expr":{"type":"numeric_atoms","value":2425,"base":11}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2857,"base":11},"right_expr":{"type":"numeric_atoms","value":8428,"base":11}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5233,"base":11},"right_expr":{"type":"numeric_atoms","value":2347,"base":11}}}}},"used_operators":["bl5wxAcryP","48vC8HMD2b","gJLn6v0xnP","aNhz54LH3e","8INZBEW696","1h0rLqGiFr","XAx5wpdLa6"],"dependent_operators":["nCS4ZIUYfx","Z2TMIBDE3Q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"⋰*⋻904591","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4647","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=2425, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2857","layer":4},{"info":"number node, value=8428","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=8428, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-6, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=5233","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=2347, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1455589","layer":1},{"info":"compute unary expreesion, input=1455589, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1455488","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3545≎⪠⋰*⋻1905≥⨤⩑(⋰*⋻2168≀⩗∶⋰*⋻6372))⫘(⩷(⋰*⋻3A28⪭≯⋰*⋻1844))↰=⋰*⋻904591","reverse_text":"⋰*⋻904591=(⋰*⋻3545≎⪠⋰*⋻1905≥⨤⩑(⋰*⋻2168≀⩗∶⋰*⋻6372))⫘(⩷(⋰*⋻3A28⪭≯⋰*⋻1844))↰","cot":[{"info":"⋰*⋻3545≎⪠⋰*⋻1905=⋰*⋻13770","layer":3},{"info":"⋰*⋻2168≀⩗∶⋰*⋻6372=⋰*⋻-6","layer":3},{"info":"⋰*⋻13770≥⨤⩑⋰*⋻-6=⋰*⋻A22","layer":2},{"info":"⋰*⋻3A28⪭≯⋰*⋻1844=NaN","layer":3},{"info":"⩷NaN=NaN","layer":2},{"info":"⋰*⋻A22⫘NaN=⋰*⋻904673","layer":1},{"info":"⋰*⋻904673↰=⋰*⋻904591","layer":0}]}
{"id":698,"expression_no_base_symbol":"((⇙⪊($1062$⋛$2900$))≥⨤⩑((⨩∲⋌$3722$)-(⊗$1011$)))⫘((⫡⇟⇯$1502$≄⊠$1521$)⫚↹⊑$3921$≬⇓$5760$⨒$1797$⋹⋡⊁$6902$)","expression":"((⇙⪊(⋰*⋻886⋛⋰*⋻21A7))≥⨤⩑((⨩∲⋌⋰*⋻2884)-(⊗⋰*⋻83A)))⫘((⫡⇟⇯⋰*⋻1146≄⊠⋰*⋻1163)⫚↹⊑⋰*⋻2A45≬⇓⋰*⋻4367⨒⋰*⋻1394⋹⋡⊁⋰*⋻5205)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":95400,"operation_count":13,"complexity_ratio":7338.461538461538,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1062,"base":11},"right_expr":{"type":"numeric_atoms","value":2900,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3722,"base":11}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1011,"base":11}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1502,"base":11},"right_expr":{"type":"numeric_atoms","value":1521,"base":11}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3921,"base":11},"right_expr":{"type":"numeric_atoms","value":5760,"base":11}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1797,"base":11},"right_expr":{"type":"numeric_atoms","value":6902,"base":11}}}}},"used_operators":["48vC8HMD2b","gJLn6v0xnP","pB6Fcnrjim","YbUVn0Rbpy","rysDP5nf3Z","aSik1wnThz","RhiyfpczSx","dfKe02y8D2","qWUSsah53b","vXNesLlMH1","y75s1iXyHd","jWTQ2TZYIH","As8RqfVLgs"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","DZ8iAZOCBD","P8v4zCKN1o","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=2900, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-122634","layer":3},{"info":"compute unary expreesion, input=-122634, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=3722","layer":4},{"info":"compute unary expreesion, input=3722, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4245","layer":3},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2022","layer":3},{"info":"compute binary expreesion, left_input=-4245, right_input=-2022, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2223","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2223, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=0","layer":1},{"info":"number node, value=1502","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=1521, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=29004","layer":3},{"info":"compute unary expreesion, input=29004, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=58876","layer":2},{"info":"number node, value=3921","layer":4},{"info":"number node, value=5760","layer":4},{"info":"compute binary expreesion, left_input=3921, right_input=5760, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=1797","layer":4},{"info":"number node, value=6902","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=6902, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7652","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=7652, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1547536","layer":2},{"info":"compute binary expreesion, left_input=58876, right_input=1547536, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇙⪊(⋰*⋻886⋛⋰*⋻21A7))≥⨤⩑((⨩∲⋌⋰*⋻2884)-(⊗⋰*⋻83A)))⫘((⫡⇟⇯⋰*⋻1146≄⊠⋰*⋻1163)⫚↹⊑⋰*⋻2A45≬⇓⋰*⋻4367⨒⋰*⋻1394⋹⋡⊁⋰*⋻5205)=NaN","reverse_text":"NaN=((⇙⪊(⋰*⋻886⋛⋰*⋻21A7))≥⨤⩑((⨩∲⋌⋰*⋻2884)-(⊗⋰*⋻83A)))⫘((⫡⇟⇯⋰*⋻1146≄⊠⋰*⋻1163)⫚↹⊑⋰*⋻2A45≬⇓⋰*⋻4367⨒⋰*⋻1394⋹⋡⊁⋰*⋻5205)","cot":[{"info":"⋰*⋻886⋛⋰*⋻21A7=⋰*⋻-84156","layer":3},{"info":"⇙⪊⋰*⋻-84156=⋰*⋻0","layer":2},{"info":"⨩∲⋌⋰*⋻2884=⋰*⋻-320A","layer":3},{"info":"⊗⋰*⋻83A=⋰*⋻-1579","layer":3},{"info":"⋰*⋻-320A-⋰*⋻-1579=⋰*⋻-1741","layer":2},{"info":"⋰*⋻0≥⨤⩑⋰*⋻-1741=⋰*⋻0","layer":1},{"info":"⋰*⋻1146≄⊠⋰*⋻1163=⋰*⋻1A878","layer":3},{"info":"⫡⇟⇯⋰*⋻1A878=⋰*⋻40264","layer":2},{"info":"⋰*⋻2A45≬⇓⋰*⋻4367=⋰*⋻-20","layer":3},{"info":"⋰*⋻1394⋹⋡⊁⋰*⋻5205=⋰*⋻5827","layer":3},{"info":"⋰*⋻-20⨒⋰*⋻5827=⋰*⋻967761","layer":2},{"info":"⋰*⋻40264⫚↹⊑⋰*⋻967761=⋰*⋻-377","layer":1},{"info":"⋰*⋻0⫘⋰*⋻-377=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"(⋗⩴⪓(⇾⩊⇾($1453$⪡$1489$)))⫯⪬∳($3908$∼$1012$⋾⨃∁($1646$⩧⪆$3207$))⪬(($7096$∙∹∝$1666$)⪣⫩)","expression":"(⋗⩴⪓(⇾⩊⇾(⋰*⋻1101⪡⋰*⋻1134)))⫯⪬∳(⋰*⋻2A33∼⋰*⋻840⋾⨃∁(⋰*⋻1267⩧⪆⋰*⋻2456))⪬((⋰*⋻5371∙∹∝⋰*⋻1285)⪣⫩)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3964,"operation_count":10,"complexity_ratio":396.4,"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":1453,"base":11},"right_expr":{"type":"numeric_atoms","value":1489,"base":11}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3908,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1646,"base":11},"right_expr":{"type":"numeric_atoms","value":3207,"base":11}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":7096,"base":11},"right_expr":{"type":"numeric_atoms","value":1666,"base":11}}}}},"used_operators":["d7ASUq0ydm","nOKPl9n5zu","bx9Z9DAK5y","oraRL2iQuh","Ez1Nq5fNfI","212REbPD9h","DyGG3AbaNP","Ikt5ks8PT7","iuk5sVOGFA","HmxsFra2vL"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⋰*⋻AA964","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=1489, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-7449","layer":2},{"info":"compute unary expreesion, input=-7449, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=32416","layer":1},{"info":"number node, value=3908","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=3908, right_input=1012, 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=1646","layer":4},{"info":"number node, value=3207","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=3207, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3207","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3207, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=102886880","layer":2},{"info":"number node, value=7096","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=7096, right_input=1666, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=102886880, right_input=913, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=32416, right_input=1234, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=160879","layer":0}],"base":11,"result_base":11,"text":"(⋗⩴⪓(⇾⩊⇾(⋰*⋻1101⪡⋰*⋻1134)))⫯⪬∳(⋰*⋻2A33∼⋰*⋻840⋾⨃∁(⋰*⋻1267⩧⪆⋰*⋻2456))⪬((⋰*⋻5371∙∹∝⋰*⋻1285)⪣⫩)=⋰*⋻AA964","reverse_text":"⋰*⋻AA964=(⋗⩴⪓(⇾⩊⇾(⋰*⋻1101⪡⋰*⋻1134)))⫯⪬∳(⋰*⋻2A33∼⋰*⋻840⋾⨃∁(⋰*⋻1267⩧⪆⋰*⋻2456))⪬((⋰*⋻5371∙∹∝⋰*⋻1285)⪣⫩)","cot":[{"info":"⋰*⋻1101⪡⋰*⋻1134=⋰*⋻98","layer":3},{"info":"⇾⩊⇾⋰*⋻98=⋰*⋻-5662","layer":2},{"info":"⋗⩴⪓⋰*⋻-5662=⋰*⋻2239A","layer":1},{"info":"⋰*⋻2A33∼⋰*⋻840=NaN","layer":3},{"info":"⋰*⋻1267⩧⪆⋰*⋻2456=⋰*⋻-2456","layer":3},{"info":"NaN⋾⨃∁⋰*⋻-2456=⋰*⋻53093488","layer":2},{"info":"⋰*⋻5371∙∹∝⋰*⋻1285=⋰*⋻0","layer":3},{"info":"⋰*⋻0⪣⫩=⋰*⋻760","layer":2},{"info":"⋰*⋻53093488⪬⋰*⋻760=⋰*⋻A22","layer":1},{"info":"⋰*⋻2239A⫯⪬∳⋰*⋻A22=⋰*⋻AA964","layer":0}]}
{"id":700,"expression_no_base_symbol":"≉(⇉-⫰((⊲⪭$4709$)∪⫐$3166$∙⊟$2534$))","expression":"≉(⇉-⫰((⊲⪭⋰*⋻35A1)∪⫐⋰*⋻2419∙⊟⋰*⋻19A4))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3254,"operation_count":5,"complexity_ratio":650.8,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":4709,"base":11}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3166,"base":11},"right_expr":{"type":"numeric_atoms","value":2534,"base":11}}}}},"used_operators":["e1ybzncUwg","IGFM8TAlm9","7YooWSwCyH","k7HXdKtiEU","SxTAKzQCrw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","rJVOvQCfKK","2DDjHMKMc0","i8ToyICDmI","xUOZtlo3hN","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⋰*⋻461","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4709","layer":4},{"info":"compute unary expreesion, input=4709, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4883","layer":3},{"info":"number node, value=3166","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=2534, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=51004","layer":3},{"info":"compute binary expreesion, left_input=-4883, right_input=51004, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-4883","layer":2},{"info":"compute unary expreesion, input=-4883, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=551","layer":0}],"base":11,"result_base":11,"text":"≉(⇉-⫰((⊲⪭⋰*⋻35A1)∪⫐⋰*⋻2419∙⊟⋰*⋻19A4))=⋰*⋻461","reverse_text":"⋰*⋻461=≉(⇉-⫰((⊲⪭⋰*⋻35A1)∪⫐⋰*⋻2419∙⊟⋰*⋻19A4))","cot":[{"info":"⊲⪭⋰*⋻35A1=⋰*⋻-373A","layer":3},{"info":"⋰*⋻2419∙⊟⋰*⋻19A4=⋰*⋻35358","layer":3},{"info":"⋰*⋻-373A∪⫐⋰*⋻35358=⋰*⋻-373A","layer":2},{"info":"⇉-⫰⋰*⋻-373A=⋰*⋻19","layer":1},{"info":"≉⋰*⋻19=⋰*⋻461","layer":0}]}
{"id":701,"expression_no_base_symbol":"($3528$⨚$1121$)⫉⨲⊜($1106$⪉⨛$2464$)⊨($6641$⪪$4992$⊹∫⫚$2514$↼⊘⨖$3454$)⪇≇⋚($1447$⪭$6524$⫳≱↱$5247$⫁$5104$)⨻⩈⩔(≑⋹($5457$⨽∌$3275$))","expression":"(⋰*⋻2718⨚⋰*⋻92A)⫉⨲⊜(⋰*⋻916⪉⨛⋰*⋻1940)⊨(⋰*⋻4A98⪪⋰*⋻3829⊹∫⫚⋰*⋻1986↼⊘⨖⋰*⋻2660)⪇≇⋚(⋰*⋻10A6⪭⋰*⋻49A1⫳≱↱⋰*⋻3A40⫁⋰*⋻3920)⨻⩈⩔(≑⋹(⋰*⋻4111⨽∌⋰*⋻2508))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20977,"operation_count":14,"complexity_ratio":1498.357142857143,"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":3528,"base":11},"right_expr":{"type":"numeric_atoms","value":1121,"base":11}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1106,"base":11},"right_expr":{"type":"numeric_atoms","value":2464,"base":11}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6641,"base":11},"right_expr":{"type":"numeric_atoms","value":4992,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2514,"base":11},"right_expr":{"type":"numeric_atoms","value":3454,"base":11}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1447,"base":11},"right_expr":{"type":"numeric_atoms","value":6524,"base":11}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5247,"base":11},"right_expr":{"type":"numeric_atoms","value":5104,"base":11}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":5457,"base":11},"right_expr":{"type":"numeric_atoms","value":3275,"base":11}}}}},"used_operators":["3sJ7IOPOlU","vg4gO5BX6G","WhqkvtTD3t","nREPSIbpBE","EWw2JM7wp4","uWAJUKEvyW","xD69zh8xqp","bPywburJMS","nEsXyWgiOK","ZvLB05nZmT","j9kHMeSvPp","0ajvFaJAv0","6B9nyZLogK","9samAPKr6k"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eewbuw0ToL","zVYPLywUTj","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","cHh1gJQ2o6","AHs5Up7iyr","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3528","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=1121, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=3506","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=2464","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=2464, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1069","layer":3},{"info":"compute binary expreesion, left_input=3506, right_input=1069, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=6641","layer":4},{"info":"number node, value=4992","layer":4},{"info":"compute binary expreesion, left_input=6641, right_input=4992, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-998880","layer":3},{"info":"number node, value=2514","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=2514, right_input=3454, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6686","layer":3},{"info":"compute binary expreesion, left_input=-998880, right_input=6686, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-184","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-184, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"number node, value=1447","layer":4},{"info":"number node, value=6524","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=6524, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=5247","layer":4},{"info":"number node, value=5104","layer":4},{"info":"compute binary expreesion, left_input=5247, right_input=5104, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=160, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=5457","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=5457, right_input=3275, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=-694, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-174, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2718⨚⋰*⋻92A)⫉⨲⊜(⋰*⋻916⪉⨛⋰*⋻1940)⊨(⋰*⋻4A98⪪⋰*⋻3829⊹∫⫚⋰*⋻1986↼⊘⨖⋰*⋻2660)⪇≇⋚(⋰*⋻10A6⪭⋰*⋻49A1⫳≱↱⋰*⋻3A40⫁⋰*⋻3920)⨻⩈⩔(≑⋹(⋰*⋻4111⨽∌⋰*⋻2508))=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻2718⨚⋰*⋻92A)⫉⨲⊜(⋰*⋻916⪉⨛⋰*⋻1940)⊨(⋰*⋻4A98⪪⋰*⋻3829⊹∫⫚⋰*⋻1986↼⊘⨖⋰*⋻2660)⪇≇⋚(⋰*⋻10A6⪭⋰*⋻49A1⫳≱↱⋰*⋻3A40⫁⋰*⋻3920)⨻⩈⩔(≑⋹(⋰*⋻4111⨽∌⋰*⋻2508))","cot":[{"info":"⋰*⋻2718⨚⋰*⋻92A=⋰*⋻26A8","layer":3},{"info":"⋰*⋻916⪉⨛⋰*⋻1940=⋰*⋻892","layer":3},{"info":"⋰*⋻26A8⫉⨲⊜⋰*⋻892=⋰*⋻0","layer":2},{"info":"⋰*⋻4A98⪪⋰*⋻3829=⋰*⋻-622523","layer":3},{"info":"⋰*⋻1986↼⊘⨖⋰*⋻2660=⋰*⋻5029","layer":3},{"info":"⋰*⋻-622523⊹∫⫚⋰*⋻5029=⋰*⋻-158","layer":2},{"info":"⋰*⋻0⊨⋰*⋻-158=⋰*⋻-149","layer":1},{"info":"⋰*⋻10A6⪭⋰*⋻49A1=⋰*⋻5","layer":3},{"info":"⋰*⋻3A40⫁⋰*⋻3920=⋰*⋻136","layer":3},{"info":"⋰*⋻5⫳≱↱⋰*⋻136=⋰*⋻-176","layer":2},{"info":"⋰*⋻4111⨽∌⋰*⋻2508=⋰*⋻0","layer":3},{"info":"≑⋹⋰*⋻0=⋰*⋻-581","layer":2},{"info":"⋰*⋻-176⨻⩈⩔⋰*⋻-581=⋰*⋻-149","layer":1},{"info":"⋰*⋻-149⪇≇⋚⋰*⋻-149=⋰*⋻0","layer":0}]}
{"id":702,"expression_no_base_symbol":"⇵⪽($1045$≭$1802$⋻⩜⩜(⋣$2400$)∲⫓((⇋⊎⋝$3654$)⇐≅))","expression":"⇵⪽(⋰*⋻870≭⋰*⋻1399⋻⩜⩜(⋣⋰*⋻1892)∲⫓((⇋⊎⋝⋰*⋻2822)⇐≅))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3846,"operation_count":7,"complexity_ratio":549.4285714285714,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1045,"base":11},"right_expr":{"type":"numeric_atoms","value":1802,"base":11}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2400,"base":11}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3654,"base":11}}}}},"used_operators":["ZGCBLdVRRX","i8ToyICDmI","oDCm7WA9JY","rxpJgHHUmx","zQWRhDnn8F","wEfv7U73WA","CzM2PEoXns"],"dependent_operators":["U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","AHs5Up7iyr","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1802, 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=2400","layer":4},{"info":"compute unary expreesion, input=2400, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-705505","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-705505, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=3654","layer":4},{"info":"compute unary expreesion, input=3654, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=nan","layer":2},{"info":"compute 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 unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇵⪽(⋰*⋻870≭⋰*⋻1399⋻⩜⩜(⋣⋰*⋻1892)∲⫓((⇋⊎⋝⋰*⋻2822)⇐≅))=NaN","reverse_text":"NaN=⇵⪽(⋰*⋻870≭⋰*⋻1399⋻⩜⩜(⋣⋰*⋻1892)∲⫓((⇋⊎⋝⋰*⋻2822)⇐≅))","cot":[{"info":"⋰*⋻870≭⋰*⋻1399=NaN","layer":3},{"info":"⋣⋰*⋻1892=⋰*⋻-442069","layer":3},{"info":"NaN⋻⩜⩜⋰*⋻-442069=NaN","layer":2},{"info":"⇋⊎⋝⋰*⋻2822=NaN","layer":3},{"info":"NaN⇐≅=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"⇵⪽NaN=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"(($1013$↺$2430$)⨽$2213$⪛⫼$3419$)∌↝($5654$⇻⋧≁$2257$)⪃⊛⇣($2776$⫳≱↱$1478$)⇡","expression":"((⋰*⋻841↺⋰*⋻190A)⨽⋰*⋻1732⪛⫼⋰*⋻2629)∌↝(⋰*⋻4280⇻⋧≁⋰*⋻1772)⪃⊛⇣(⋰*⋻20A4⫳≱↱⋰*⋻1124)⇡","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":209024,"operation_count":8,"complexity_ratio":26128.0,"tree":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1013,"base":11},"right_expr":{"type":"numeric_atoms","value":2430,"base":11}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2213,"base":11},"right_expr":{"type":"numeric_atoms","value":3419,"base":11}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5654,"base":11},"right_expr":{"type":"numeric_atoms","value":2257,"base":11}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2776,"base":11},"right_expr":{"type":"numeric_atoms","value":1478,"base":11}}}}},"used_operators":["UqFzSgLMvQ","9Isq31Ruls","8HhzD0ZcuI","7j4O788W3g","hyuBjUqXlG","rrgAzCduG9","jCPkEVoL5K","ZvLB05nZmT"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⋰*⋻-2212","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"number node, value=2430","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=2430, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2430","layer":3},{"info":"number node, value=2213","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=3419, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=2430, right_input=968, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17716290","layer":2},{"info":"number node, value=5654","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=5654, right_input=2257, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2776","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=1478, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-204, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-17716290, right_input=1234, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-3702","layer":1},{"info":"compute unary expreesion, input=-3702, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻841↺⋰*⋻190A)⨽⋰*⋻1732⪛⫼⋰*⋻2629)∌↝(⋰*⋻4280⇻⋧≁⋰*⋻1772)⪃⊛⇣(⋰*⋻20A4⫳≱↱⋰*⋻1124)⇡=⋰*⋻-2212","reverse_text":"⋰*⋻-2212=((⋰*⋻841↺⋰*⋻190A)⨽⋰*⋻1732⪛⫼⋰*⋻2629)∌↝(⋰*⋻4280⇻⋧≁⋰*⋻1772)⪃⊛⇣(⋰*⋻20A4⫳≱↱⋰*⋻1124)⇡","cot":[{"info":"⋰*⋻841↺⋰*⋻190A=⋰*⋻190A","layer":3},{"info":"⋰*⋻1732⪛⫼⋰*⋻2629=⋰*⋻800","layer":3},{"info":"⋰*⋻190A⨽⋰*⋻800=⋰*⋻-A000569","layer":2},{"info":"⋰*⋻4280⇻⋧≁⋰*⋻1772=⋰*⋻-377","layer":3},{"info":"⋰*⋻20A4⫳≱↱⋰*⋻1124=⋰*⋻-176","layer":3},{"info":"⋰*⋻-377⪃⊛⇣⋰*⋻-176=⋰*⋻A22","layer":2},{"info":"⋰*⋻-A000569∌↝⋰*⋻A22=⋰*⋻-2866","layer":1},{"info":"⋰*⋻-2866⇡=⋰*⋻-2212","layer":0}]}
{"id":704,"expression_no_base_symbol":"(∥⊫($1917$⋻⩜⩜$3730$)⪚($2182$+⇶⊼$1679$))⨳⩥⨓($1763$⩵∡$9117$≋⫹)⊨($1439$⫒⫫$1273$∷)","expression":"(∥⊫(⋰*⋻1493⋻⩜⩜⋰*⋻2891)⪚(⋰*⋻1704+⇶⊼⋰*⋻1297))⨳⩥⨓(⋰*⋻1363⩵∡⋰*⋻6939≋⫹)⊨(⋰*⋻1099⫒⫫⋰*⋻A58∷)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52282,"operation_count":10,"complexity_ratio":5228.2,"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":1917,"base":11},"right_expr":{"type":"numeric_atoms","value":3730,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2182,"base":11},"right_expr":{"type":"numeric_atoms","value":1679,"base":11}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1763,"base":11},"right_expr":{"type":"numeric_atoms","value":9117,"base":11}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1439,"base":11},"right_expr":{"type":"numeric_atoms","value":1273,"base":11}}}}},"used_operators":["nCS4ZIUYfx","P8v4zCKN1o","HrjLwUk87U","oDCm7WA9JY","TpPTUOHfaN","vg4gO5BX6G","N41Kp7NANJ","Y7wcNGrDQJ","nFAOW8KTqp","6Ko8hGgeMq"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","AHs5Up7iyr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1917","layer":4},{"info":"number node, value=3730","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=3730, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3834","layer":3},{"info":"number node, value=2182","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=1679, 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=3834, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1763","layer":4},{"info":"number node, value=9117","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=9117, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=5470","layer":3},{"info":"compute unary expreesion, input=5470, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10940","layer":2},{"info":"number node, value=1439","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1273, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10940, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∥⊫(⋰*⋻1493⋻⩜⩜⋰*⋻2891)⪚(⋰*⋻1704+⇶⊼⋰*⋻1297))⨳⩥⨓(⋰*⋻1363⩵∡⋰*⋻6939≋⫹)⊨(⋰*⋻1099⫒⫫⋰*⋻A58∷)=NaN","reverse_text":"NaN=(∥⊫(⋰*⋻1493⋻⩜⩜⋰*⋻2891)⪚(⋰*⋻1704+⇶⊼⋰*⋻1297))⨳⩥⨓(⋰*⋻1363⩵∡⋰*⋻6939≋⫹)⊨(⋰*⋻1099⫒⫫⋰*⋻A58∷)","cot":[{"info":"⋰*⋻1493⋻⩜⩜⋰*⋻2891=⋰*⋻2976","layer":3},{"info":"⋰*⋻1704+⇶⊼⋰*⋻1297=NaN","layer":3},{"info":"⋰*⋻2976⪚NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⋰*⋻1363⩵∡⋰*⋻6939=⋰*⋻4123","layer":3},{"info":"⋰*⋻4123≋⫹=⋰*⋻-8246","layer":2},{"info":"⋰*⋻1099⫒⫫⋰*⋻A58=NaN","layer":3},{"info":"NaN∷=NaN","layer":2},{"info":"⋰*⋻-8246⊨NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":705,"expression_no_base_symbol":"($1054$∋$1948$⊔$3853$∺≝⩲$2554$)↳≱(($1563$⇼⇔∾$1582$)≁($1895$⨫⇇↔$2358$))⪘⫢(($4397$→⨶⪴$1209$⪉⨛($1825$⇞))∁)","expression":"(⋰*⋻879∋⋰*⋻1511⊔⋰*⋻2993∺≝⩲⋰*⋻1A12)↳≱((⋰*⋻11A1⇼⇔∾⋰*⋻1209)≁(⋰*⋻1473⨫⇇↔⋰*⋻1854))⪘⫢((⋰*⋻3338→⨶⪴⋰*⋻9AA⪉⨛(⋰*⋻140A⇞))∁)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":351,"operation_count":12,"complexity_ratio":29.25,"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":1054,"base":11},"right_expr":{"type":"numeric_atoms","value":1948,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3853,"base":11},"right_expr":{"type":"numeric_atoms","value":2554,"base":11}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1563,"base":11},"right_expr":{"type":"numeric_atoms","value":1582,"base":11}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1895,"base":11},"right_expr":{"type":"numeric_atoms","value":2358,"base":11}}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4397,"base":11},"right_expr":{"type":"numeric_atoms","value":1209,"base":11}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1825,"base":11}}}}},"used_operators":["oacrs7FA3X","JwTKLfZU96","E4l6HwMY31","ukq6epAj5P","KPf6cnQVty","8N2wDY1A35","tifHPKVTfV","LXhwmt4mBO","jdwGQqwJi5","EWw2JM7wp4","bF6eod5Gvf","5JYyxRJd4f"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q"],"result":"⋰*⋻-1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1948, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4037392","layer":3},{"info":"number node, value=3853","layer":4},{"info":"number node, value=2554","layer":4},{"info":"compute binary expreesion, left_input=3853, right_input=2554, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4037392, right_input=160, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=8073184","layer":2},{"info":"number node, value=1563","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=1582, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=19","layer":3},{"info":"number node, value=1895","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=2358, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=19, right_input=-527, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-25245","layer":2},{"info":"compute binary expreesion, left_input=8073184, right_input=-25245, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=4397","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=1209, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3627","layer":3},{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=7213","layer":3},{"info":"compute binary expreesion, left_input=-3627, right_input=7213, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-32305","layer":2},{"info":"compute unary expreesion, input=-32305, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-32305","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-32305, 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":11,"result_base":11,"text":"(⋰*⋻879∋⋰*⋻1511⊔⋰*⋻2993∺≝⩲⋰*⋻1A12)↳≱((⋰*⋻11A1⇼⇔∾⋰*⋻1209)≁(⋰*⋻1473⨫⇇↔⋰*⋻1854))⪘⫢((⋰*⋻3338→⨶⪴⋰*⋻9AA⪉⨛(⋰*⋻140A⇞))∁)=⋰*⋻-1","reverse_text":"⋰*⋻-1=(⋰*⋻879∋⋰*⋻1511⊔⋰*⋻2993∺≝⩲⋰*⋻1A12)↳≱((⋰*⋻11A1⇼⇔∾⋰*⋻1209)≁(⋰*⋻1473⨫⇇↔⋰*⋻1854))⪘⫢((⋰*⋻3338→⨶⪴⋰*⋻9AA⪉⨛(⋰*⋻140A⇞))∁)","cot":[{"info":"⋰*⋻879∋⋰*⋻1511=⋰*⋻2308397","layer":3},{"info":"⋰*⋻2993∺≝⩲⋰*⋻1A12=⋰*⋻136","layer":3},{"info":"⋰*⋻2308397⊔⋰*⋻136=⋰*⋻4614559","layer":2},{"info":"⋰*⋻11A1⇼⇔∾⋰*⋻1209=⋰*⋻18","layer":3},{"info":"⋰*⋻1473⨫⇇↔⋰*⋻1854=⋰*⋻-43A","layer":3},{"info":"⋰*⋻18≁⋰*⋻-43A=⋰*⋻-17A70","layer":2},{"info":"⋰*⋻4614559↳≱⋰*⋻-17A70=⋰*⋻0","layer":1},{"info":"⋰*⋻3338→⨶⪴⋰*⋻9AA=⋰*⋻-27A8","layer":3},{"info":"⋰*⋻140A⇞=⋰*⋻5468","layer":3},{"info":"⋰*⋻-27A8⪉⨛⋰*⋻5468=⋰*⋻-222A9","layer":2},{"info":"⋰*⋻-222A9∁=⋰*⋻-222A9","layer":1},{"info":"⋰*⋻0⪘⫢⋰*⋻-222A9=⋰*⋻-1","layer":0}]}
{"id":706,"expression_no_base_symbol":"↸⊣(⨣⨃⇪($5481$⋹⋡⊁$1138$⨒$5351$⋹⋡⊁$5470$))","expression":"↸⊣(⨣⨃⇪(⋰*⋻4133⋹⋡⊁⋰*⋻945⨒⋰*⋻4025⋹⋡⊁⋰*⋻4123))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":125116,"operation_count":5,"complexity_ratio":25023.2,"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":5481,"base":11},"right_expr":{"type":"numeric_atoms","value":1138,"base":11}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5351,"base":11},"right_expr":{"type":"numeric_atoms","value":5470,"base":11}}}}},"used_operators":["wztAlM01eG","AcOhelriW5","y75s1iXyHd","As8RqfVLgs"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⋰*⋻-927","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5481","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=5481, right_input=1138, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1888","layer":3},{"info":"number node, value=5351","layer":4},{"info":"number node, value=5470","layer":4},{"info":"compute binary expreesion, left_input=5351, right_input=5470, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6220","layer":3},{"info":"compute binary expreesion, left_input=1888, right_input=6220, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10956","layer":2},{"info":"compute unary expreesion, input=-10956, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1118","layer":0}],"base":11,"result_base":11,"text":"↸⊣(⨣⨃⇪(⋰*⋻4133⋹⋡⊁⋰*⋻945⨒⋰*⋻4025⋹⋡⊁⋰*⋻4123))=⋰*⋻-927","reverse_text":"⋰*⋻-927=↸⊣(⨣⨃⇪(⋰*⋻4133⋹⋡⊁⋰*⋻945⨒⋰*⋻4025⋹⋡⊁⋰*⋻4123))","cot":[{"info":"⋰*⋻4133⋹⋡⊁⋰*⋻945=⋰*⋻1467","layer":3},{"info":"⋰*⋻4025⋹⋡⊁⋰*⋻4123=⋰*⋻4745","layer":3},{"info":"⋰*⋻1467⨒⋰*⋻4745=⋰*⋻-8260","layer":2},{"info":"⨣⨃⇪⋰*⋻-8260=⋰*⋻1068","layer":1},{"info":"↸⊣⋰*⋻1068=⋰*⋻-927","layer":0}]}
{"id":707,"expression_no_base_symbol":"($4648$⪃⊛⇣$3740$≬⇓$2351$⪨⊡$1182$⨑≵⋬($1112$↙$1016$⫔⩽⩺($2720$⫌⩉⩟$1555$)))⨚⇆(($2040$↬$4898$∖$5319$⩼⇪↪$2392$)≳⇉(⩷$5717$)⊕∕($5907$⋻⩜⩜$2246$))","expression":"(⋰*⋻3546⪃⊛⇣⋰*⋻28A0≬⇓⋰*⋻1848⪨⊡⋰*⋻985⨑≵⋬(⋰*⋻921↙⋰*⋻844⫔⩽⩺(⋰*⋻2053⫌⩉⩟⋰*⋻1194)))⨚⇆((⋰*⋻1595↬⋰*⋻3753∖⋰*⋻3AA6⩼⇪↪⋰*⋻1885)≳⇉(⩷⋰*⋻4328)⊕∕(⋰*⋻4490⋻⩜⩜⋰*⋻1762))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":182723,"operation_count":15,"complexity_ratio":12181.533333333333,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4648,"base":11},"right_expr":{"type":"numeric_atoms","value":3740,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2351,"base":11},"right_expr":{"type":"numeric_atoms","value":1182,"base":11}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1112,"base":11},"right_expr":{"type":"numeric_atoms","value":1016,"base":11}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2720,"base":11},"right_expr":{"type":"numeric_atoms","value":1555,"base":11}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2040,"base":11},"right_expr":{"type":"numeric_atoms","value":4898,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":5319,"base":11},"right_expr":{"type":"numeric_atoms","value":2392,"base":11}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":5717,"base":11}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5907,"base":11},"right_expr":{"type":"numeric_atoms","value":2246,"base":11}}}}},"used_operators":["lwHaAYXP2r","XnXgA4xnOs","jWTQ2TZYIH","rrgAzCduG9","kuIXHzHcAH","i9eR4S00cU","yyfyN0ffXY","XIIwhv8d0m","V0kx6qeWkN","tXD093vOjl","B5M0gjZbta","ocnLzx9CaJ","9cloC0Ngie","1h0rLqGiFr","oDCm7WA9JY"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Tw270M8GLb","fu6greOZ01","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4648","layer":4},{"info":"number node, value=3740","layer":4},{"info":"compute binary expreesion, left_input=4648, right_input=3740, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2351","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=2351, right_input=1182, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=1112","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=1016, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3048","layer":3},{"info":"number node, value=2720","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=1555, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-3048, right_input=-50, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=2040","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=4898, 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=5319","layer":4},{"info":"number node, value=2392","layer":4},{"info":"compute binary expreesion, left_input=5319, right_input=2392, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6889","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6889, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=5717","layer":4},{"info":"compute unary expreesion, input=5717, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-68683","layer":3},{"info":"number node, value=5907","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=5907, right_input=2246, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=11814","layer":3},{"info":"compute binary expreesion, left_input=-68683, right_input=11814, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-68683","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-68683, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3546⪃⊛⇣⋰*⋻28A0≬⇓⋰*⋻1848⪨⊡⋰*⋻985⨑≵⋬(⋰*⋻921↙⋰*⋻844⫔⩽⩺(⋰*⋻2053⫌⩉⩟⋰*⋻1194)))⨚⇆((⋰*⋻1595↬⋰*⋻3753∖⋰*⋻3AA6⩼⇪↪⋰*⋻1885)≳⇉(⩷⋰*⋻4328)⊕∕(⋰*⋻4490⋻⩜⩜⋰*⋻1762))=NaN","reverse_text":"NaN=(⋰*⋻3546⪃⊛⇣⋰*⋻28A0≬⇓⋰*⋻1848⪨⊡⋰*⋻985⨑≵⋬(⋰*⋻921↙⋰*⋻844⫔⩽⩺(⋰*⋻2053⫌⩉⩟⋰*⋻1194)))⨚⇆((⋰*⋻1595↬⋰*⋻3753∖⋰*⋻3AA6⩼⇪↪⋰*⋻1885)≳⇉(⩷⋰*⋻4328)⊕∕(⋰*⋻4490⋻⩜⩜⋰*⋻1762))","cot":[{"info":"⋰*⋻3546⪃⊛⇣⋰*⋻28A0=⋰*⋻A22","layer":3},{"info":"⋰*⋻1848⪨⊡⋰*⋻985=⋰*⋻0","layer":3},{"info":"⋰*⋻A22≬⇓⋰*⋻0=⋰*⋻-20","layer":2},{"info":"⋰*⋻921↙⋰*⋻844=⋰*⋻-2321","layer":3},{"info":"⋰*⋻2053⫌⩉⩟⋰*⋻1194=⋰*⋻-46","layer":3},{"info":"⋰*⋻-2321⫔⩽⩺⋰*⋻-46=NaN","layer":2},{"info":"⋰*⋻-20⨑≵⋬NaN=NaN","layer":1},{"info":"⋰*⋻1595↬⋰*⋻3753=NaN","layer":3},{"info":"⋰*⋻3AA6⩼⇪↪⋰*⋻1885=⋰*⋻-51A3","layer":3},{"info":"NaN∖⋰*⋻-51A3=⋰*⋻0","layer":2},{"info":"⩷⋰*⋻4328=⋰*⋻-4766A","layer":3},{"info":"⋰*⋻4490⋻⩜⩜⋰*⋻1762=⋰*⋻8970","layer":3},{"info":"⋰*⋻-4766A⊕∕⋰*⋻8970=⋰*⋻-4766A","layer":2},{"info":"⋰*⋻0≳⇉⋰*⋻-4766A=NaN","layer":1},{"info":"NaN⨚⇆NaN=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"(($2867$⫑)→⨶⪴($6575$≭$1016$))⇂≾⫗(⨞⊢$3884$↬$3762$)⪨≂($1407$∙⊟$1798$)⋥⋵⩄($1395$⋾⨃∁$2327$)⩍⋽⫝̸((⋎⨆$1128$)∀⋜↑)","expression":"((⋰*⋻2177⫑)→⨶⪴(⋰*⋻4A38≭⋰*⋻844))⇂≾⫗(⨞⊢⋰*⋻2A11↬⋰*⋻2910)⪨≂(⋰*⋻106A∙⊟⋰*⋻1395)⋥⋵⩄(⋰*⋻1059⋾⨃∁⋰*⋻1826)⩍⋽⫝̸((⋎⨆⋰*⋻936)∀⋜↑)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4124,"operation_count":13,"complexity_ratio":317.2307692307692,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":2867,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6575,"base":11},"right_expr":{"type":"numeric_atoms","value":1016,"base":11}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3884,"base":11},"right_expr":{"type":"numeric_atoms","value":3762,"base":11}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1407,"base":11},"right_expr":{"type":"numeric_atoms","value":1798,"base":11}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1395,"base":11},"right_expr":{"type":"numeric_atoms","value":2327,"base":11}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1128,"base":11}}}}},"used_operators":["sdazOOVcIp","aBQ6xLxuTc","bF6eod5Gvf","CgIo77xlM2","rxpJgHHUmx","xUOZtlo3hN","B5M0gjZbta","BiWNJpBvwn","7t3wd0Fuz7","SxTAKzQCrw","212REbPD9h","KipPnG1M2J","E64sFOc4tB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","8w2t5hMYqp","9FxExcQeMw","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Ph9nP6C5qx","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2867","layer":4},{"info":"compute unary expreesion, input=2867, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=6575","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=6575, right_input=1016, 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=3979, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"number node, value=3884","layer":4},{"info":"number node, value=3762","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=3762, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"number node, value=1407","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1798, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=28137","layer":3},{"info":"number node, value=1395","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=2327, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=54121272","layer":3},{"info":"compute binary expreesion, left_input=28137, right_input=54121272, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-484, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=124","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=124, 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":11,"result_base":11,"text":"((⋰*⋻2177⫑)→⨶⪴(⋰*⋻4A38≭⋰*⋻844))⇂≾⫗(⨞⊢⋰*⋻2A11↬⋰*⋻2910)⪨≂(⋰*⋻106A∙⊟⋰*⋻1395)⋥⋵⩄(⋰*⋻1059⋾⨃∁⋰*⋻1826)⩍⋽⫝̸((⋎⨆⋰*⋻936)∀⋜↑)=NaN","reverse_text":"NaN=((⋰*⋻2177⫑)→⨶⪴(⋰*⋻4A38≭⋰*⋻844))⇂≾⫗(⨞⊢⋰*⋻2A11↬⋰*⋻2910)⪨≂(⋰*⋻106A∙⊟⋰*⋻1395)⋥⋵⩄(⋰*⋻1059⋾⨃∁⋰*⋻1826)⩍⋽⫝̸((⋎⨆⋰*⋻936)∀⋜↑)","cot":[{"info":"⋰*⋻2177⫑=⋰*⋻2A98","layer":3},{"info":"⋰*⋻4A38≭⋰*⋻844=NaN","layer":3},{"info":"⋰*⋻2A98→⨶⪴NaN=NaN","layer":2},{"info":"⋰*⋻2A11↬⋰*⋻2910=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"NaN⇂≾⫗NaN=NaN","layer":1},{"info":"⋰*⋻106A∙⊟⋰*⋻1395=⋰*⋻1A15A","layer":3},{"info":"⋰*⋻1059⋾⨃∁⋰*⋻1826=⋰*⋻28606127","layer":3},{"info":"⋰*⋻1A15A⋥⋵⩄⋰*⋻28606127=⋰*⋻A3","layer":2},{"info":"⋎⨆⋰*⋻936=⋰*⋻0","layer":3},{"info":"⋰*⋻0∀⋜↑=⋰*⋻-400","layer":2},{"info":"⋰*⋻A3⩍⋽⫝̸⋰*⋻-400=⋰*⋻103","layer":1},{"info":"NaN⪨≂⋰*⋻103=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"⇁⨣⪵(≋($8244$∌↝$4633$))⨭⪣($4705$⇡⇂$4507$⩘⨬⇊)","expression":"⇁⨣⪵(≋(⋰*⋻6215∌↝⋰*⋻3532))⨭⪣(⋰*⋻3598⇡⇂⋰*⋻3428⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24572,"operation_count":6,"complexity_ratio":4095.3333333333335,"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":8244,"base":11},"right_expr":{"type":"numeric_atoms","value":4633,"base":11}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4705,"base":11},"right_expr":{"type":"numeric_atoms","value":4507,"base":11}}}}},"used_operators":["inkyxCbjAn","kn8WO9XteQ","61wBmkZwlr","9Isq31Ruls","XXmTpEpWTW","UMwdvZNt44"],"dependent_operators":["B5M0gjZbta","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","7j4O788W3g","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=8244","layer":4},{"info":"number node, value=4633","layer":4},{"info":"compute binary expreesion, left_input=8244, right_input=4633, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=0","layer":2},{"info":"number node, value=4705","layer":4},{"info":"number node, value=4507","layer":4},{"info":"compute binary expreesion, left_input=4705, right_input=4507, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⇁⨣⪵(≋(⋰*⋻6215∌↝⋰*⋻3532))⨭⪣(⋰*⋻3598⇡⇂⋰*⋻3428⩘⨬⇊)=⋰*⋻0","reverse_text":"⋰*⋻0=⇁⨣⪵(≋(⋰*⋻6215∌↝⋰*⋻3532))⨭⪣(⋰*⋻3598⇡⇂⋰*⋻3428⩘⨬⇊)","cot":[{"info":"⋰*⋻6215∌↝⋰*⋻3532=⋰*⋻0","layer":3},{"info":"≋⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻3598⇡⇂⋰*⋻3428=NaN","layer":3},{"info":"NaN⩘⨬⇊=NaN","layer":2},{"info":"⋰*⋻0⨭⪣NaN=⋰*⋻-1A","layer":1},{"info":"⇁⨣⪵⋰*⋻-1A=⋰*⋻0","layer":0}]}
{"id":710,"expression_no_base_symbol":"⨂⪏⇭(((⩦⊞$1251$)∝($1306$⫃⨇$1506$))≒∊($3967$⫏⊷)≠≀(↩⪖$2062$))","expression":"⨂⪏⇭(((⩦⊞⋰*⋻A38)∝(⋰*⋻A88⫃⨇⋰*⋻114A))≒∊(⋰*⋻2A87⫏⊷)≠≀(↩⪖⋰*⋻1605))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12168,"operation_count":8,"complexity_ratio":1521.0,"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":1251,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1306,"base":11},"right_expr":{"type":"numeric_atoms","value":1506,"base":11}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":3967,"base":11}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2062,"base":11}}}}},"used_operators":["AYdpE9sXAk","5KTvxBwnZo","cTDWOvIxvz","u7fv1HBiaC","09Ly4LVMIf","IwW236VD4Y","dcShxvzhyw","fG6uBQFnGz"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋰*⋻2604","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-978","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=1506, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6056","layer":3},{"info":"compute binary expreesion, left_input=-978, right_input=-6056, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-973","layer":2},{"info":"number node, value=3967","layer":4},{"info":"compute unary expreesion, input=3967, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-15354","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=-15354, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=16053","layer":2},{"info":"compute binary expreesion, left_input=-973, right_input=16053, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=1457","layer":1},{"info":"compute unary expreesion, input=1457, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=3392","layer":0}],"base":11,"result_base":11,"text":"⨂⪏⇭(((⩦⊞⋰*⋻A38)∝(⋰*⋻A88⫃⨇⋰*⋻114A))≒∊(⋰*⋻2A87⫏⊷)≠≀(↩⪖⋰*⋻1605))=⋰*⋻2604","reverse_text":"⋰*⋻2604=⨂⪏⇭(((⩦⊞⋰*⋻A38)∝(⋰*⋻A88⫃⨇⋰*⋻114A))≒∊(⋰*⋻2A87⫏⊷)≠≀(↩⪖⋰*⋻1605))","cot":[{"info":"⩦⊞⋰*⋻A38=⋰*⋻-80A","layer":3},{"info":"⋰*⋻A88⫃⨇⋰*⋻114A=⋰*⋻-4606","layer":3},{"info":"⋰*⋻-80A∝⋰*⋻-4606=⋰*⋻-805","layer":2},{"info":"⋰*⋻2A87⫏⊷=⋰*⋻-686","layer":3},{"info":"↩⪖⋰*⋻1605=⋰*⋻-10599","layer":3},{"info":"⋰*⋻-686≠≀⋰*⋻-10599=⋰*⋻11074","layer":2},{"info":"⋰*⋻-805≒∊⋰*⋻11074=⋰*⋻1105","layer":1},{"info":"⨂⪏⇭⋰*⋻1105=⋰*⋻2604","layer":0}]}
{"id":711,"expression_no_base_symbol":"(⫶⊄≣(≪$2564$))⊮⊟↴(($1264$⫃⨇$1581$)⇍⊗(⊥$2113$))⊭∹↮","expression":"(⫶⊄≣(≪⋰*⋻1A21))⊮⊟↴((⋰*⋻A4A⫃⨇⋰*⋻1208)⇍⊗(⊥⋰*⋻1651))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1082,"operation_count":7,"complexity_ratio":154.57142857142858,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":2564,"base":11}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1264,"base":11},"right_expr":{"type":"numeric_atoms","value":1581,"base":11}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2113,"base":11}}}}},"used_operators":["xNBdhnnwKq","QDVgd2eftb","wxb3vTeyAj","Qtd6bqUJcN","5uvYHDjeKN","09Ly4LVMIf","Q3PJZHRvZv"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2564","layer":4},{"info":"compute unary expreesion, input=2564, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute unary expreesion, input=913, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=15017365","layer":2},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1581, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6356","layer":3},{"info":"number node, value=2113","layer":4},{"info":"compute unary expreesion, input=2113, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6356, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15017365, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫶⊄≣(≪⋰*⋻1A21))⊮⊟↴((⋰*⋻A4A⫃⨇⋰*⋻1208)⇍⊗(⊥⋰*⋻1651))⊭∹↮=NaN","reverse_text":"NaN=(⫶⊄≣(≪⋰*⋻1A21))⊮⊟↴((⋰*⋻A4A⫃⨇⋰*⋻1208)⇍⊗(⊥⋰*⋻1651))⊭∹↮","cot":[{"info":"≪⋰*⋻1A21=⋰*⋻760","layer":3},{"info":"⫶⊄≣⋰*⋻760=⋰*⋻8527850","layer":2},{"info":"⋰*⋻A4A⫃⨇⋰*⋻1208=⋰*⋻-4859","layer":3},{"info":"⊥⋰*⋻1651=NaN","layer":3},{"info":"⋰*⋻-4859⇍⊗NaN=NaN","layer":2},{"info":"⋰*⋻8527850⊮⊟↴NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"($1966$∀⇚≩$8795$/$1857$⫒⫫$6604$)⇣⩺⋵($1266$⫯⪬∳$7206$⪍↜⋙$3024$⋣⋖$5554$)⇮⋭((∤$3298$)⨪↰⇹($1783$⨳⩥⨓$2437$))⩘(($1915$∁)-$1747$⨓$3275$)","expression":"(⋰*⋻1528∀⇚≩⋰*⋻6676/⋰*⋻1439⫒⫫⋰*⋻4A64)⇣⩺⋵(⋰*⋻A51⫯⪬∳⋰*⋻5461⪍↜⋙⋰*⋻22AA⋣⋖⋰*⋻419A)⇮⋭((∤⋰*⋻2529)⨪↰⇹(⋰*⋻1381⨳⩥⨓⋰*⋻1916))⩘((⋰*⋻1491∁)-⋰*⋻1349⨓⋰*⋻2508)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17553,"operation_count":15,"complexity_ratio":1170.2,"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":1966,"base":11},"right_expr":{"type":"numeric_atoms","value":8795,"base":11}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1857,"base":11},"right_expr":{"type":"numeric_atoms","value":6604,"base":11}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1266,"base":11},"right_expr":{"type":"numeric_atoms","value":7206,"base":11}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3024,"base":11},"right_expr":{"type":"numeric_atoms","value":5554,"base":11}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3298,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1783,"base":11},"right_expr":{"type":"numeric_atoms","value":2437,"base":11}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1915,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1747,"base":11},"right_expr":{"type":"numeric_atoms","value":3275,"base":11}}}}},"used_operators":["vkpjKywKVM","F4yD0voBRQ","XhwjNDsVaA","LRNGc0VcxI","6Ko8hGgeMq","L05ObWFQCd","d7ASUq0ydm","J0M6qkBnIM","cHh1gJQ2o6","tmPS8pqC7x","k2HlF1dBQh","nCS4ZIUYfx","rysDP5nf3Z","jdwGQqwJi5","3ViojmjbAp"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","X99M06cbEe","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⋰*⋻85449","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1966","layer":4},{"info":"number node, value=8795","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=8795, 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=1857","layer":4},{"info":"number node, value=6604","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=6604, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1266","layer":4},{"info":"number node, value=7206","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=7206, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-843","layer":3},{"info":"number node, value=3024","layer":4},{"info":"number node, value=5554","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=5554, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3024","layer":3},{"info":"compute binary expreesion, left_input=-843, right_input=3024, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-2616","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2616, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=3298","layer":4},{"info":"compute unary expreesion, input=3298, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1783","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=2437, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=654","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=654, 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=9","layer":2},{"info":"number node, value=1915","layer":4},{"info":"compute unary expreesion, input=1915, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1915","layer":3},{"info":"number node, value=1747","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=3275, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3278","layer":3},{"info":"compute binary expreesion, left_input=1915, right_input=-3278, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5193","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=5193, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=160, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=124320","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1528∀⇚≩⋰*⋻6676/⋰*⋻1439⫒⫫⋰*⋻4A64)⇣⩺⋵(⋰*⋻A51⫯⪬∳⋰*⋻5461⪍↜⋙⋰*⋻22AA⋣⋖⋰*⋻419A)⇮⋭((∤⋰*⋻2529)⨪↰⇹(⋰*⋻1381⨳⩥⨓⋰*⋻1916))⩘((⋰*⋻1491∁)-⋰*⋻1349⨓⋰*⋻2508)=⋰*⋻85449","reverse_text":"⋰*⋻85449=(⋰*⋻1528∀⇚≩⋰*⋻6676/⋰*⋻1439⫒⫫⋰*⋻4A64)⇣⩺⋵(⋰*⋻A51⫯⪬∳⋰*⋻5461⪍↜⋙⋰*⋻22AA⋣⋖⋰*⋻419A)⇮⋭((∤⋰*⋻2529)⨪↰⇹(⋰*⋻1381⨳⩥⨓⋰*⋻1916))⩘((⋰*⋻1491∁)-⋰*⋻1349⨓⋰*⋻2508)","cot":[{"info":"⋰*⋻1528∀⇚≩⋰*⋻6676=NaN","layer":3},{"info":"⋰*⋻1439⫒⫫⋰*⋻4A64=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"⋰*⋻A51⫯⪬∳⋰*⋻5461=⋰*⋻-6A7","layer":3},{"info":"⋰*⋻22AA⋣⋖⋰*⋻419A=⋰*⋻22AA","layer":3},{"info":"⋰*⋻-6A7⪍↜⋙⋰*⋻22AA=⋰*⋻-1A69","layer":2},{"info":"NaN⇣⩺⋵⋰*⋻-1A69=⋰*⋻-217","layer":1},{"info":"∤⋰*⋻2529=⋰*⋻9","layer":3},{"info":"⋰*⋻1381⨳⩥⨓⋰*⋻1916=⋰*⋻545","layer":3},{"info":"⋰*⋻9⨪↰⇹⋰*⋻545=⋰*⋻9","layer":2},{"info":"⋰*⋻1491∁=⋰*⋻1491","layer":3},{"info":"⋰*⋻1349⨓⋰*⋻2508=⋰*⋻-2510","layer":3},{"info":"⋰*⋻1491-⋰*⋻-2510=⋰*⋻39A1","layer":2},{"info":"⋰*⋻9⩘⋰*⋻39A1=⋰*⋻136","layer":1},{"info":"⋰*⋻-217⇮⋭⋰*⋻136=⋰*⋻85449","layer":0}]}
{"id":713,"expression_no_base_symbol":"((↩⪖$2084$↓$3073$)↱$1712$⊴$1012$∝$2669$⩺⪪$1339$)⪶≀⋏($2115$↓$3817$⊝⪿⪼($1336$⫃⨇$7552$))⩌⋺(($3341$⫡⨏$2256$)≭($1915$⊧↖))","expression":"((↩⪖⋰*⋻1625↓⋰*⋻2344)↱⋰*⋻1317⊴⋰*⋻840∝⋰*⋻2007⩺⪪⋰*⋻1008)⪶≀⋏(⋰*⋻1653↓⋰*⋻2960⊝⪿⪼(⋰*⋻1005⫃⨇⋰*⋻5746))⩌⋺((⋰*⋻2568⫡⨏⋰*⋻1771)≭(⋰*⋻1491⊧↖))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":100511,"operation_count":14,"complexity_ratio":7179.357142857143,"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":2084,"base":11},"right_expr":{"type":"numeric_atoms","value":3073,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1712,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2669,"base":11},"right_expr":{"type":"numeric_atoms","value":1339,"base":11}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2115,"base":11},"right_expr":{"type":"numeric_atoms","value":3817,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1336,"base":11},"right_expr":{"type":"numeric_atoms","value":7552,"base":11}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3341,"base":11},"right_expr":{"type":"numeric_atoms","value":2256,"base":11}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1915,"base":11}}}}},"used_operators":["zR4jO40bMj","SR5kFfdi6N","fG6uBQFnGz","Af076pWI7l","cTDWOvIxvz","Nsiff2A1zJ","uvdQJvN4PV","g7Hmc5v1ko","3Oe9XWJUTD","09Ly4LVMIf","rxpJgHHUmx","QMFrweE19q","EKiFHuOFxO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","7j4O788W3g","W4YGzv6Whe","COABgblf1C","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2084","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=3073, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2446","layer":2},{"info":"number node, value=1712","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1012, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2669","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=2669, right_input=1339, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-22178","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22178, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2446, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":1},{"info":"number node, value=2115","layer":4},{"info":"number node, value=3817","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=3817, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=7552","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=7552, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-30240","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-30240, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=68582","layer":2},{"info":"number node, value=3341","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=3341, right_input=2256, 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=22000","layer":3},{"info":"number node, value=1915","layer":4},{"info":"compute unary expreesion, input=1915, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=22011968","layer":3},{"info":"compute binary expreesion, left_input=22000, right_input=22011968, 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=68582, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↩⪖⋰*⋻1625↓⋰*⋻2344)↱⋰*⋻1317⊴⋰*⋻840∝⋰*⋻2007⩺⪪⋰*⋻1008)⪶≀⋏(⋰*⋻1653↓⋰*⋻2960⊝⪿⪼(⋰*⋻1005⫃⨇⋰*⋻5746))⩌⋺((⋰*⋻2568⫡⨏⋰*⋻1771)≭(⋰*⋻1491⊧↖))=NaN","reverse_text":"NaN=((↩⪖⋰*⋻1625↓⋰*⋻2344)↱⋰*⋻1317⊴⋰*⋻840∝⋰*⋻2007⩺⪪⋰*⋻1008)⪶≀⋏(⋰*⋻1653↓⋰*⋻2960⊝⪿⪼(⋰*⋻1005⫃⨇⋰*⋻5746))⩌⋺((⋰*⋻2568⫡⨏⋰*⋻1771)≭(⋰*⋻1491⊧↖))","cot":[{"info":"⋰*⋻1625↓⋰*⋻2344=⋰*⋻-112","layer":3},{"info":"↩⪖⋰*⋻-112=⋰*⋻-1924","layer":2},{"info":"⋰*⋻1317⊴⋰*⋻840=NaN","layer":3},{"info":"⋰*⋻2007⩺⪪⋰*⋻1008=⋰*⋻-15732","layer":3},{"info":"NaN∝⋰*⋻-15732=NaN","layer":2},{"info":"⋰*⋻-1924↱NaN=NaN","layer":1},{"info":"⋰*⋻1653↓⋰*⋻2960=⋰*⋻-112","layer":3},{"info":"⋰*⋻1005⫃⨇⋰*⋻5746=⋰*⋻-207A1","layer":3},{"info":"⋰*⋻-112⊝⪿⪼⋰*⋻-207A1=⋰*⋻47588","layer":2},{"info":"⋰*⋻2568⫡⨏⋰*⋻1771=⋰*⋻15590","layer":3},{"info":"⋰*⋻1491⊧↖=⋰*⋻11474A10","layer":3},{"info":"⋰*⋻15590≭⋰*⋻11474A10=NaN","layer":2},{"info":"⋰*⋻47588⩌⋺NaN=NaN","layer":1},{"info":"NaN⪶≀⋏NaN=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"(((⨈⫕$4925$)⇴∐$1429$↼⊘⨖$4226$)∴≳≥)⊚⫡⫭","expression":"(((⨈⫕⋰*⋻3778)⇴∐⋰*⋻108A↼⊘⨖⋰*⋻31A2)∴≳≥)⊚⫡⫭","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":430,"operation_count":5,"complexity_ratio":86.0,"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":4925,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1429,"base":11},"right_expr":{"type":"numeric_atoms","value":4226,"base":11}}}}},"used_operators":["SpZWOsLKZJ","a3N2hFLK0J","HnzytWxmAO","megm06wKyl","bPywburJMS"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⋰*⋻3342","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4925","layer":4},{"info":"compute unary expreesion, input=4925, 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=1429","layer":4},{"info":"number node, value=4226","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=4226, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8230","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=8230, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=-464","layer":1},{"info":"compute unary expreesion, input=-464, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=4402","layer":0}],"base":11,"result_base":11,"text":"(((⨈⫕⋰*⋻3778)⇴∐⋰*⋻108A↼⊘⨖⋰*⋻31A2)∴≳≥)⊚⫡⫭=⋰*⋻3342","reverse_text":"⋰*⋻3342=(((⨈⫕⋰*⋻3778)⇴∐⋰*⋻108A↼⊘⨖⋰*⋻31A2)∴≳≥)⊚⫡⫭","cot":[{"info":"⨈⫕⋰*⋻3778=⋰*⋻-1A","layer":3},{"info":"⋰*⋻108A↼⊘⨖⋰*⋻31A2=⋰*⋻6202","layer":3},{"info":"⋰*⋻-1A⇴∐⋰*⋻6202=⋰*⋻-A6","layer":2},{"info":"⋰*⋻-A6∴≳≥=⋰*⋻-392","layer":1},{"info":"⋰*⋻-392⊚⫡⫭=⋰*⋻3342","layer":0}]}
{"id":715,"expression_no_base_symbol":"⨦⪝(↔((⨑⩽⪐$1020$)≃$2201$⪶≀⋏$1831$))","expression":"⨦⪝(↔((⨑⩽⪐⋰*⋻848)≃⋰*⋻1721⪶≀⋏⋰*⋻1415))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":72,"operation_count":5,"complexity_ratio":14.4,"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":1020,"base":11}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2201,"base":11},"right_expr":{"type":"numeric_atoms","value":1831,"base":11}}}}},"used_operators":["SUjycxNXIR","ruOEQAzv1W","YbVcJGFEVW","AF7qkfDlqP","zR4jO40bMj"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⋰*⋻-1463","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, 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":3},{"info":"number node, value=2201","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=1831, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10497","layer":3},{"info":"compute binary expreesion, left_input=-747, right_input=-10497, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=41948","layer":2},{"info":"compute unary expreesion, input=41948, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-41675","layer":1},{"info":"compute unary expreesion, input=-41675, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":11,"result_base":11,"text":"⨦⪝(↔((⨑⩽⪐⋰*⋻848)≃⋰*⋻1721⪶≀⋏⋰*⋻1415))=⋰*⋻-1463","reverse_text":"⋰*⋻-1463=⨦⪝(↔((⨑⩽⪐⋰*⋻848)≃⋰*⋻1721⪶≀⋏⋰*⋻1415))","cot":[{"info":"⨑⩽⪐⋰*⋻848=⋰*⋻-61A","layer":3},{"info":"⋰*⋻1721⪶≀⋏⋰*⋻1415=⋰*⋻-7983","layer":3},{"info":"⋰*⋻-61A≃⋰*⋻-7983=⋰*⋻29575","layer":2},{"info":"↔⋰*⋻29575=⋰*⋻-29347","layer":1},{"info":"⨦⪝⋰*⋻-29347=⋰*⋻-1463","layer":0}]}
{"id":716,"expression_no_base_symbol":"(⋎⨆(∓⪦$2597$)⊉↱≁($1010$⫌⩹⨱))⫒⫫(($4791$≎⊠⪸$1644$)⪛$6288$⇍⊗$3634$)⪮%⊝((↡$2331$)⩚⊴⇥$1289$⪃⊛⇣$3046$)","expression":"(⋎⨆(∓⪦⋰*⋻1A51)⊉↱≁(⋰*⋻839⫌⩹⨱))⫒⫫((⋰*⋻3666≎⊠⪸⋰*⋻1265)⪛⋰*⋻47A7⇍⊗⋰*⋻2804)⪮%⊝((↡⋰*⋻182A)⩚⊴⇥⋰*⋻A72⪃⊛⇣⋰*⋻231A)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6097,"operation_count":12,"complexity_ratio":508.0833333333333,"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":2597,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1010,"base":11}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4791,"base":11},"right_expr":{"type":"numeric_atoms","value":1644,"base":11}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":6288,"base":11},"right_expr":{"type":"numeric_atoms","value":3634,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2331,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1289,"base":11},"right_expr":{"type":"numeric_atoms","value":3046,"base":11}}}}},"used_operators":["6Ko8hGgeMq","E64sFOc4tB","w2P8NbNXyL","D309nIvmXG","EBcxylXtPf","IWmyXbctLI","uFcxV4UQCh","bJkvcejdHO","5uvYHDjeKN","NTOWxs364D","MXaNJeIAZ3","rrgAzCduG9"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⋰*⋻A3","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2597","layer":4},{"info":"compute unary expreesion, input=2597, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2189","layer":3},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3421","layer":3},{"info":"compute binary expreesion, left_input=2189, right_input=3421, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=250","layer":2},{"info":"compute unary expreesion, input=250, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"number node, value=4791","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=4791, right_input=1644, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1240396","layer":3},{"info":"number node, value=6288","layer":4},{"info":"number node, value=3634","layer":4},{"info":"compute binary expreesion, left_input=6288, right_input=3634, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=1240396, right_input=-244, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-100","layer":2},{"info":"number node, value=2331","layer":4},{"info":"compute unary expreesion, input=2331, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=20979","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=3046","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=3046, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=20979, right_input=1234, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-22334","layer":2},{"info":"compute binary expreesion, left_input=-100, right_input=-22334, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=116","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=116, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":0}],"base":11,"result_base":11,"text":"(⋎⨆(∓⪦⋰*⋻1A51)⊉↱≁(⋰*⋻839⫌⩹⨱))⫒⫫((⋰*⋻3666≎⊠⪸⋰*⋻1265)⪛⋰*⋻47A7⇍⊗⋰*⋻2804)⪮%⊝((↡⋰*⋻182A)⩚⊴⇥⋰*⋻A72⪃⊛⇣⋰*⋻231A)=⋰*⋻A3","reverse_text":"⋰*⋻A3=(⋎⨆(∓⪦⋰*⋻1A51)⊉↱≁(⋰*⋻839⫌⩹⨱))⫒⫫((⋰*⋻3666≎⊠⪸⋰*⋻1265)⪛⋰*⋻47A7⇍⊗⋰*⋻2804)⪮%⊝((↡⋰*⋻182A)⩚⊴⇥⋰*⋻A72⪃⊛⇣⋰*⋻231A)","cot":[{"info":"∓⪦⋰*⋻1A51=⋰*⋻1710","layer":3},{"info":"⋰*⋻839⫌⩹⨱=⋰*⋻2630","layer":3},{"info":"⋰*⋻1710⊉↱≁⋰*⋻2630=⋰*⋻208","layer":2},{"info":"⋎⨆⋰*⋻208=⋰*⋻0","layer":1},{"info":"⋰*⋻3666≎⊠⪸⋰*⋻1265=⋰*⋻777A23","layer":3},{"info":"⋰*⋻47A7⇍⊗⋰*⋻2804=⋰*⋻-202","layer":3},{"info":"⋰*⋻777A23⪛⋰*⋻-202=⋰*⋻-91","layer":2},{"info":"↡⋰*⋻182A=⋰*⋻14842","layer":3},{"info":"⋰*⋻A72⪃⊛⇣⋰*⋻231A=⋰*⋻A22","layer":3},{"info":"⋰*⋻14842⩚⊴⇥⋰*⋻A22=⋰*⋻-15864","layer":2},{"info":"⋰*⋻-91⪮%⊝⋰*⋻-15864=⋰*⋻A6","layer":1},{"info":"⋰*⋻0⫒⫫⋰*⋻A6=⋰*⋻A3","layer":0}]}
{"id":717,"expression_no_base_symbol":"(($2130$∑⇟⊟$2078$)⊱⇼⊻(⇙⪊$6088$)+($1842$∧)⊭↱$3941$≳⇉$6501$)⪒⊣⊆(⩦⊞($1549$↼⊘⨖$3009$⨸⪁($1015$⪨≂$2623$)))","expression":"((⋰*⋻1667∑⇟⊟⋰*⋻161A)⊱⇼⊻(⇙⪊⋰*⋻4635)+(⋰*⋻1425∧)⊭↱⋰*⋻2A63≳⇉⋰*⋻4980)⪒⊣⊆(⩦⊞(⋰*⋻1189↼⊘⨖⋰*⋻2296⨸⪁(⋰*⋻843⪨≂⋰*⋻1A75)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13112,"operation_count":12,"complexity_ratio":1092.6666666666667,"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":2130,"base":11},"right_expr":{"type":"numeric_atoms","value":2078,"base":11}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":6088,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1842,"base":11}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3941,"base":11},"right_expr":{"type":"numeric_atoms","value":6501,"base":11}}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1549,"base":11},"right_expr":{"type":"numeric_atoms","value":3009,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1015,"base":11},"right_expr":{"type":"numeric_atoms","value":2623,"base":11}}}}},"used_operators":["eRqsBgTDFp","W4YGzv6Whe","FyVja0WsTP","U7g4x0WXJJ","pB6Fcnrjim","COABgblf1C","z63VuFQld9","V0kx6qeWkN","u7fv1HBiaC","g55IO6H4Gj","bPywburJMS","sdazOOVcIp"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2130","layer":4},{"info":"number node, value=2078","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=2078, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=6088","layer":4},{"info":"compute unary expreesion, input=6088, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":2},{"info":"number node, value=1842","layer":4},{"info":"compute unary expreesion, input=1842, 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=3941","layer":4},{"info":"number node, value=6501","layer":4},{"info":"compute binary expreesion, left_input=3941, right_input=6501, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1549","layer":4},{"info":"number node, value=3009","layer":4},{"info":"compute binary expreesion, left_input=1549, right_input=3009, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5796","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=2623, 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=-3114","layer":3},{"info":"compute binary expreesion, left_input=5796, right_input=-3114, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5364","layer":2},{"info":"compute unary expreesion, input=5364, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5091","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5091, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1667∑⇟⊟⋰*⋻161A)⊱⇼⊻(⇙⪊⋰*⋻4635)+(⋰*⋻1425∧)⊭↱⋰*⋻2A63≳⇉⋰*⋻4980)⪒⊣⊆(⩦⊞(⋰*⋻1189↼⊘⨖⋰*⋻2296⨸⪁(⋰*⋻843⪨≂⋰*⋻1A75)))=NaN","reverse_text":"NaN=((⋰*⋻1667∑⇟⊟⋰*⋻161A)⊱⇼⊻(⇙⪊⋰*⋻4635)+(⋰*⋻1425∧)⊭↱⋰*⋻2A63≳⇉⋰*⋻4980)⪒⊣⊆(⩦⊞(⋰*⋻1189↼⊘⨖⋰*⋻2296⨸⪁(⋰*⋻843⪨≂⋰*⋻1A75)))","cot":[{"info":"⋰*⋻1667∑⇟⊟⋰*⋻161A=NaN","layer":3},{"info":"⇙⪊⋰*⋻4635=⋰*⋻0","layer":3},{"info":"NaN⊱⇼⊻⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻1425∧=NaN","layer":3},{"info":"⋰*⋻2A63≳⇉⋰*⋻4980=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⋰*⋻1189↼⊘⨖⋰*⋻2296=⋰*⋻439A","layer":3},{"info":"⋰*⋻843⪨≂⋰*⋻1A75=⋰*⋻-2381","layer":3},{"info":"⋰*⋻439A⨸⪁⋰*⋻-2381=⋰*⋻4037","layer":2},{"info":"⩦⊞⋰*⋻4037=⋰*⋻-3909","layer":1},{"info":"NaN⪒⊣⊆⋰*⋻-3909=NaN","layer":0}]}
{"id":718,"expression_no_base_symbol":"(⪓⩚(-$7032$∴$1510$))∀⇚≩(($6634$∙⊟$1027$)⊅)↹⊜((⩷$1666$)↛⩡⫤)","expression":"(⪓⩚(-⋰*⋻5313∴⋰*⋻1153))∀⇚≩((⋰*⋻4A91∙⊟⋰*⋻854)⊅)↹⊜((⩷⋰*⋻1285)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":73554,"operation_count":9,"complexity_ratio":8172.666666666667,"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":7032,"base":11},"right_expr":{"type":"numeric_atoms","value":1510,"base":11}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":6634,"base":11},"right_expr":{"type":"numeric_atoms","value":1027,"base":11}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1666,"base":11}}}}},"used_operators":["LRNGc0VcxI","u0R0Locfp2","t8gj7n24qd","hrf7POJlIJ","9bazX3JMtO","7p6YLioM7f","SxTAKzQCrw","FU0Cs4j7VP","1h0rLqGiFr"],"dependent_operators":["X99M06cbEe","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7032","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=7032, right_input=1510, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=15712","layer":3},{"info":"compute unary expreesion, input=15712, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-15712","layer":2},{"info":"compute unary expreesion, input=-15712, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=6634","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=6634, right_input=1027, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=96088","layer":3},{"info":"compute unary expreesion, input=96088, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":2},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-20071","layer":3},{"info":"compute unary expreesion, input=-20071, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-2866242","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-2866242, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=22929840","layer":1},{"info":"compute binary expreesion, left_input=426, right_input=22929840, 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":11,"result_base":11,"text":"(⪓⩚(-⋰*⋻5313∴⋰*⋻1153))∀⇚≩((⋰*⋻4A91∙⊟⋰*⋻854)⊅)↹⊜((⩷⋰*⋻1285)↛⩡⫤)=NaN","reverse_text":"NaN=(⪓⩚(-⋰*⋻5313∴⋰*⋻1153))∀⇚≩((⋰*⋻4A91∙⊟⋰*⋻854)⊅)↹⊜((⩷⋰*⋻1285)↛⩡⫤)","cot":[{"info":"⋰*⋻5313∴⋰*⋻1153=⋰*⋻10894","layer":3},{"info":"-⋰*⋻10894=⋰*⋻-10894","layer":2},{"info":"⪓⩚⋰*⋻-10894=⋰*⋻358","layer":1},{"info":"⋰*⋻4A91∙⊟⋰*⋻854=⋰*⋻66213","layer":3},{"info":"⋰*⋻66213⊅=⋰*⋻-149","layer":2},{"info":"⩷⋰*⋻1285=⋰*⋻-14097","layer":3},{"info":"⋰*⋻-14097↛⩡⫤=⋰*⋻-16884A5","layer":2},{"info":"⋰*⋻-149↹⊜⋰*⋻-16884A5=⋰*⋻11A4158A","layer":1},{"info":"⋰*⋻358∀⇚≩⋰*⋻11A4158A=NaN","layer":0}]}
{"id":719,"expression_no_base_symbol":"(↥(≀↧⇸$1243$))⨜⨶(⊗($4070$⇣⩺⋵$1146$))∥⊢⊲(↸⊣($1939$≭$3216$)⊉↱≁(⇘$4193$))","expression":"(↥(≀↧⇸⋰*⋻A30))⨜⨶(⊗(⋰*⋻3070⇣⩺⋵⋰*⋻952))∥⊢⊲(↸⊣(⋰*⋻1503≭⋰*⋻2464)⊉↱≁(⇘⋰*⋻3172))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8618,"operation_count":10,"complexity_ratio":861.8,"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":1243,"base":11}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4070,"base":11},"right_expr":{"type":"numeric_atoms","value":1146,"base":11}}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1939,"base":11},"right_expr":{"type":"numeric_atoms","value":3216,"base":11}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":4193,"base":11}}}}},"used_operators":["v1UQAVDJRr","HiPekx5b7W","A8NUZmVepG","ljTHtUsqzn","RhiyfpczSx","F4yD0voBRQ","wztAlM01eG","w2P8NbNXyL","rxpJgHHUmx","MGuIdZPyUC"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","AHs5Up7iyr","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2486","layer":3},{"info":"compute unary expreesion, input=2486, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=38","layer":2},{"info":"number node, value=4070","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=4070, right_input=1146, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-520","layer":2},{"info":"compute binary expreesion, left_input=38, right_input=-520, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1957","layer":1},{"info":"number node, value=1939","layer":4},{"info":"number node, value=3216","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=3216, 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=4193","layer":4},{"info":"compute unary expreesion, input=4193, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=245962","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=245962, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1957, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↥(≀↧⇸⋰*⋻A30))⨜⨶(⊗(⋰*⋻3070⇣⩺⋵⋰*⋻952))∥⊢⊲(↸⊣(⋰*⋻1503≭⋰*⋻2464)⊉↱≁(⇘⋰*⋻3172))=NaN","reverse_text":"NaN=(↥(≀↧⇸⋰*⋻A30))⨜⨶(⊗(⋰*⋻3070⇣⩺⋵⋰*⋻952))∥⊢⊲(↸⊣(⋰*⋻1503≭⋰*⋻2464)⊉↱≁(⇘⋰*⋻3172))","cot":[{"info":"≀↧⇸⋰*⋻A30=⋰*⋻1960","layer":3},{"info":"↥⋰*⋻1960=⋰*⋻35","layer":2},{"info":"⋰*⋻3070⇣⩺⋵⋰*⋻952=⋰*⋻-217","layer":3},{"info":"⊗⋰*⋻-217=⋰*⋻-433","layer":2},{"info":"⋰*⋻35⨜⨶⋰*⋻-433=⋰*⋻-151A","layer":1},{"info":"⋰*⋻1503≭⋰*⋻2464=NaN","layer":3},{"info":"⇘⋰*⋻3172=⋰*⋻158882","layer":3},{"info":"NaN⊉↱≁⋰*⋻158882=NaN","layer":2},{"info":"↸⊣NaN=NaN","layer":1},{"info":"⋰*⋻-151A∥⊢⊲NaN=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"(($2897$∼$1394$⫡⨏(↩$1122$))⊨(($1797$⇡)∝($1414$∙⊟$1715$)))↓((∓⪦($3124$∖$2969$))∼($2170$⩌⋺$3914$≃($1296$∀⋜↑)))","expression":"((⋰*⋻21A4∼⋰*⋻1058⫡⨏(↩⋰*⋻930))⊨((⋰*⋻1394⇡)∝(⋰*⋻1076∙⊟⋰*⋻131A)))↓((∓⪦(⋰*⋻2390∖⋰*⋻225A))∼(⋰*⋻16A3⩌⋺⋰*⋻2A39≃(⋰*⋻A79∀⋜↑)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2458,"operation_count":14,"complexity_ratio":175.57142857142858,"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":2897,"base":11},"right_expr":{"type":"numeric_atoms","value":1394,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1122,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":1797,"base":11}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1414,"base":11},"right_expr":{"type":"numeric_atoms","value":1715,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3124,"base":11},"right_expr":{"type":"numeric_atoms","value":2969,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2170,"base":11},"right_expr":{"type":"numeric_atoms","value":3914,"base":11}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1296,"base":11}}}}},"used_operators":["Af076pWI7l","vg4gO5BX6G","QMFrweE19q","DyGG3AbaNP","jLgFTUHLKL","cTDWOvIxvz","UqFzSgLMvQ","SxTAKzQCrw","D309nIvmXG","tXD093vOjl","YbVcJGFEVW","g7Hmc5v1ko","KipPnG1M2J"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","COABgblf1C","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2897","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=2897, right_input=1394, 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=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6196","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6196, 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=1797","layer":4},{"info":"compute unary expreesion, input=1797, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=1414","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=1715, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=28228","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=28228, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-2912","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2912, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"number node, value=3124","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=2969, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2119","layer":2},{"info":"number node, value=2170","layer":4},{"info":"number node, value=3914","layer":4},{"info":"compute binary expreesion, left_input=2170, right_input=3914, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6205","layer":3},{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-6205, right_input=-484, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=1896","layer":2},{"info":"compute binary expreesion, left_input=-2119, right_input=1896, 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 = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻21A4∼⋰*⋻1058⫡⨏(↩⋰*⋻930))⊨((⋰*⋻1394⇡)∝(⋰*⋻1076∙⊟⋰*⋻131A)))↓((∓⪦(⋰*⋻2390∖⋰*⋻225A))∼(⋰*⋻16A3⩌⋺⋰*⋻2A39≃(⋰*⋻A79∀⋜↑)))=⋰*⋻-112","reverse_text":"⋰*⋻-112=((⋰*⋻21A4∼⋰*⋻1058⫡⨏(↩⋰*⋻930))⊨((⋰*⋻1394⇡)∝(⋰*⋻1076∙⊟⋰*⋻131A)))↓((∓⪦(⋰*⋻2390∖⋰*⋻225A))∼(⋰*⋻16A3⩌⋺⋰*⋻2A39≃(⋰*⋻A79∀⋜↑)))","cot":[{"info":"⋰*⋻21A4∼⋰*⋻1058=NaN","layer":3},{"info":"↩⋰*⋻930=⋰*⋻-4723","layer":3},{"info":"NaN⫡⨏⋰*⋻-4723=NaN","layer":2},{"info":"⋰*⋻1394⇡=⋰*⋻-2212","layer":3},{"info":"⋰*⋻1076∙⊟⋰*⋻131A=⋰*⋻1A232","layer":3},{"info":"⋰*⋻-2212∝⋰*⋻1A232=⋰*⋻-2208","layer":2},{"info":"NaN⊨⋰*⋻-2208=NaN","layer":1},{"info":"⋰*⋻2390∖⋰*⋻225A=⋰*⋻0","layer":3},{"info":"∓⪦⋰*⋻0=⋰*⋻-1657","layer":2},{"info":"⋰*⋻16A3⩌⋺⋰*⋻2A39=⋰*⋻-4731","layer":3},{"info":"⋰*⋻A79∀⋜↑=⋰*⋻-400","layer":3},{"info":"⋰*⋻-4731≃⋰*⋻-400=⋰*⋻1474","layer":2},{"info":"⋰*⋻-1657∼⋰*⋻1474=NaN","layer":1},{"info":"NaN↓NaN=⋰*⋻-112","layer":0}]}
{"id":721,"expression_no_base_symbol":"((⇙⪊$3421$)⨥⫆(⋼∭⪍$2179$)⇆⨓≜)⊠≄⫣","expression":"((⇙⪊⋰*⋻2630)⨥⫆(⋼∭⪍⋰*⋻1701)⇆⨓≜)⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":184,"operation_count":5,"complexity_ratio":36.8,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":3421,"base":11}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":2179,"base":11}}}}},"used_operators":["DIvbN7qnHd","KvvgdUaMHJ","yXekIHxTD4","pB6Fcnrjim","DbCuESL50I"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","KYD54nUTWz","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=2179","layer":4},{"info":"compute unary expreesion, input=2179, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-6976","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6976, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇙⪊⋰*⋻2630)⨥⫆(⋼∭⪍⋰*⋻1701)⇆⨓≜)⊠≄⫣=NaN","reverse_text":"NaN=((⇙⪊⋰*⋻2630)⨥⫆(⋼∭⪍⋰*⋻1701)⇆⨓≜)⊠≄⫣","cot":[{"info":"⇙⪊⋰*⋻2630=⋰*⋻0","layer":3},{"info":"⋼∭⪍⋰*⋻1701=⋰*⋻-5272","layer":3},{"info":"⋰*⋻0⨥⫆⋰*⋻-5272=⋰*⋻-1","layer":2},{"info":"⋰*⋻-1⇆⨓≜=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"(⩩(($3245$⇮⋭$3351$)⨿($2920$⨎$1081$)))⇞","expression":"(⩩((⋰*⋻2490⇮⋭⋰*⋻2577)⨿(⋰*⋻2215⨎⋰*⋻8A3)))⇞","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7377,"operation_count":5,"complexity_ratio":1475.4,"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":3245,"base":11},"right_expr":{"type":"numeric_atoms","value":3351,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2920,"base":11},"right_expr":{"type":"numeric_atoms","value":1081,"base":11}}}}},"used_operators":["5JYyxRJd4f","kMhfGuqI2H","abYXlopdE0","vkpjKywKVM","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3245","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=3351, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=2920","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=1081, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1081","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=1081, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⩩((⋰*⋻2490⇮⋭⋰*⋻2577)⨿(⋰*⋻2215⨎⋰*⋻8A3)))⇞=NaN","reverse_text":"NaN=(⩩((⋰*⋻2490⇮⋭⋰*⋻2577)⨿(⋰*⋻2215⨎⋰*⋻8A3)))⇞","cot":[{"info":"⋰*⋻2490⇮⋭⋰*⋻2577=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻2215⨎⋰*⋻8A3=⋰*⋻8A3","layer":3},{"info":"⋰*⋻-3A0⨿⋰*⋻8A3=⋰*⋻61","layer":2},{"info":"⩩⋰*⋻61=NaN","layer":1},{"info":"NaN⇞=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"((($1393$⫳≱↱$6338$)∌↝$3311$⪥$1062$)⩅⪻⪻)≦↸(⊢≑≆($2074$⪛⫼$6434$+$2914$≠≀$4499$))","expression":"(((⋰*⋻1057⫳≱↱⋰*⋻4842)∌↝⋰*⋻2540⪥⋰*⋻886)⩅⪻⪻)≦↸(⊢≑≆(⋰*⋻1616⪛⫼⋰*⋻491A+⋰*⋻220A≠≀⋰*⋻3420))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":54321,"operation_count":9,"complexity_ratio":6035.666666666667,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1393,"base":11},"right_expr":{"type":"numeric_atoms","value":6338,"base":11}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3311,"base":11},"right_expr":{"type":"numeric_atoms","value":1062,"base":11}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2074,"base":11},"right_expr":{"type":"numeric_atoms","value":6434,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2914,"base":11},"right_expr":{"type":"numeric_atoms","value":4499,"base":11}}}}},"used_operators":["RygbFNSyEJ","kHoXpA7yos","9Isq31Ruls","ZvLB05nZmT","QbnwKVWMIQ","27wFxooxGf","W4YGzv6Whe","hyuBjUqXlG","IwW236VD4Y"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋰*⋻-18497","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1393","layer":4},{"info":"number node, value=6338","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=6338, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3311","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=3311, right_input=1062, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=17896","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=17896, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-53688","layer":2},{"info":"compute unary expreesion, input=-53688, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":1},{"info":"number node, value=2074","layer":4},{"info":"number node, value=6434","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=6434, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=2914","layer":4},{"info":"number node, value=4499","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=4499, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5522","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-5522, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4554","layer":2},{"info":"compute unary expreesion, input=-4554, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=9301","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=9301, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-25879","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1057⫳≱↱⋰*⋻4842)∌↝⋰*⋻2540⪥⋰*⋻886)⩅⪻⪻)≦↸(⊢≑≆(⋰*⋻1616⪛⫼⋰*⋻491A+⋰*⋻220A≠≀⋰*⋻3420))=⋰*⋻-18497","reverse_text":"⋰*⋻-18497=(((⋰*⋻1057⫳≱↱⋰*⋻4842)∌↝⋰*⋻2540⪥⋰*⋻886)⩅⪻⪻)≦↸(⊢≑≆(⋰*⋻1616⪛⫼⋰*⋻491A+⋰*⋻220A≠≀⋰*⋻3420))","cot":[{"info":"⋰*⋻1057⫳≱↱⋰*⋻4842=⋰*⋻-176","layer":3},{"info":"⋰*⋻2540⪥⋰*⋻886=⋰*⋻1249A","layer":3},{"info":"⋰*⋻-176∌↝⋰*⋻1249A=⋰*⋻-37378","layer":2},{"info":"⋰*⋻-37378⩅⪻⪻=⋰*⋻2A98","layer":1},{"info":"⋰*⋻1616⪛⫼⋰*⋻491A=⋰*⋻800","layer":3},{"info":"⋰*⋻220A≠≀⋰*⋻3420=⋰*⋻-4170","layer":3},{"info":"⋰*⋻800+⋰*⋻-4170=⋰*⋻-3470","layer":2},{"info":"⊢≑≆⋰*⋻-3470=⋰*⋻6A96","layer":1},{"info":"⋰*⋻2A98≦↸⋰*⋻6A96=⋰*⋻-18497","layer":0}]}
{"id":724,"expression_no_base_symbol":"(∤$1702$)≌($1220$⩼⇪↪$4174$)⨔⇊(($3505$/$3230$)⪘⨀)⩺⪪((($2754$∲⫓$1000$)⫉⨲⊜($5879$∣$3343$))⇔⨋)","expression":"(∤⋰*⋻1308)≌(⋰*⋻A0A⩼⇪↪⋰*⋻3155)⨔⇊((⋰*⋻26A7/⋰*⋻2477)⪘⨀)⩺⪪(((⋰*⋻2084∲⫓⋰*⋻82A)⫉⨲⊜(⋰*⋻4465∣⋰*⋻256A))⇔⨋)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28950,"operation_count":11,"complexity_ratio":2631.818181818182,"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":1702,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1220,"base":11},"right_expr":{"type":"numeric_atoms","value":4174,"base":11}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3505,"base":11},"right_expr":{"type":"numeric_atoms","value":3230,"base":11}}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2754,"base":11},"right_expr":{"type":"numeric_atoms","value":1000,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5879,"base":11},"right_expr":{"type":"numeric_atoms","value":3343,"base":11}}}}},"used_operators":["uvdQJvN4PV","JclMnS0uGI","lyWz822IDG","k2HlF1dBQh","ocnLzx9CaJ","aA7tF3KVD3","XhwjNDsVaA","uBihLCJcMX","WhqkvtTD3t","i8ToyICDmI","PPChnnnBFF"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋰*⋻-7034","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1702","layer":4},{"info":"compute unary expreesion, input=1702, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=4174","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=4174, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-27561","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-27561, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=3505","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=3230, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=408","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=408, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=408","layer":1},{"info":"number node, value=2754","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2754, right_input=1000, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5879","layer":4},{"info":"number node, value=3343","layer":4},{"info":"compute binary expreesion, left_input=5879, right_input=3343, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5879","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5879, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":1},{"info":"compute binary expreesion, left_input=408, right_input=287, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-9354","layer":0}],"base":11,"result_base":11,"text":"(∤⋰*⋻1308)≌(⋰*⋻A0A⩼⇪↪⋰*⋻3155)⨔⇊((⋰*⋻26A7/⋰*⋻2477)⪘⨀)⩺⪪(((⋰*⋻2084∲⫓⋰*⋻82A)⫉⨲⊜(⋰*⋻4465∣⋰*⋻256A))⇔⨋)=⋰*⋻-7034","reverse_text":"⋰*⋻-7034=(∤⋰*⋻1308)≌(⋰*⋻A0A⩼⇪↪⋰*⋻3155)⨔⇊((⋰*⋻26A7/⋰*⋻2477)⪘⨀)⩺⪪(((⋰*⋻2084∲⫓⋰*⋻82A)⫉⨲⊜(⋰*⋻4465∣⋰*⋻256A))⇔⨋)","cot":[{"info":"∤⋰*⋻1308=⋰*⋻9","layer":3},{"info":"⋰*⋻A0A⩼⇪↪⋰*⋻3155=⋰*⋻-19786","layer":3},{"info":"⋰*⋻9≌⋰*⋻-19786=NaN","layer":2},{"info":"⋰*⋻26A7/⋰*⋻2477=⋰*⋻1","layer":3},{"info":"⋰*⋻1⪘⨀=⋰*⋻341","layer":2},{"info":"NaN⨔⇊⋰*⋻341=⋰*⋻341","layer":1},{"info":"⋰*⋻2084∲⫓⋰*⋻82A=⋰*⋻0","layer":3},{"info":"⋰*⋻4465∣⋰*⋻256A=⋰*⋻4465","layer":3},{"info":"⋰*⋻0⫉⨲⊜⋰*⋻4465=⋰*⋻0","layer":2},{"info":"⋰*⋻0⇔⨋=⋰*⋻241","layer":1},{"info":"⋰*⋻341⩺⪪⋰*⋻241=⋰*⋻-7034","layer":0}]}
{"id":725,"expression_no_base_symbol":"(($2385$⫃⨇$4338$)⨸(⪸$8816$)∠↢($2507$≃⋄)⪃⊛⇣($4132$⇮⋭$1495$))⩼⇪↪(((∮$5034$)⋭≵$3728$∺≝⩲$4150$)⩚⊴⇥((↸⊣$1809$)⋻⩜⩜$1087$∑⇟⊟$3840$))","expression":"((⋰*⋻1879⫃⨇⋰*⋻3294)⨸(⪸⋰*⋻6695)∠↢(⋰*⋻197A≃⋄)⪃⊛⇣(⋰*⋻3117⇮⋭⋰*⋻113A))⩼⇪↪(((∮⋰*⋻3867)⋭≵⋰*⋻288A∺≝⩲⋰*⋻3133)⩚⊴⇥((↸⊣⋰*⋻13A5)⋻⩜⩜⋰*⋻8A9∑⇟⊟⋰*⋻2981))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":602285,"operation_count":15,"complexity_ratio":40152.333333333336,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2385,"base":11},"right_expr":{"type":"numeric_atoms","value":4338,"base":11}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":8816,"base":11}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":2507,"base":11}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4132,"base":11},"right_expr":{"type":"numeric_atoms","value":1495,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":5034,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3728,"base":11},"right_expr":{"type":"numeric_atoms","value":4150,"base":11}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1809,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1087,"base":11},"right_expr":{"type":"numeric_atoms","value":3840,"base":11}}}}},"used_operators":["ocnLzx9CaJ","KbjG8mgYpV","KmoU8R5UQR","09Ly4LVMIf","86A5ENbKR9","rrgAzCduG9","aN9a90urxU","vkpjKywKVM","NTOWxs364D","jBncVCNhdl","CqXKPLVYql","KPf6cnQVty","oDCm7WA9JY","wztAlM01eG","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","uFcxV4UQCh","jLgFTUHLKL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=4338, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-17384","layer":3},{"info":"number node, value=8816","layer":4},{"info":"compute unary expreesion, input=8816, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-149663","layer":3},{"info":"compute binary expreesion, left_input=-17384, right_input=-149663, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=-14982674","layer":2},{"info":"number node, value=2507","layer":4},{"info":"compute unary expreesion, input=2507, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=4132","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=4132, right_input=1495, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=-473, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-14982674, right_input=1234, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=59914502","layer":1},{"info":"number node, value=5034","layer":4},{"info":"compute unary expreesion, input=5034, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=3728","layer":4},{"info":"number node, value=4150","layer":4},{"info":"compute binary expreesion, left_input=3728, right_input=4150, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-100","layer":2},{"info":"number node, value=1809","layer":4},{"info":"compute unary expreesion, input=1809, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1522","layer":3},{"info":"number node, value=1087","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=3840, 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=-1522, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-100, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=59914502, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1879⫃⨇⋰*⋻3294)⨸(⪸⋰*⋻6695)∠↢(⋰*⋻197A≃⋄)⪃⊛⇣(⋰*⋻3117⇮⋭⋰*⋻113A))⩼⇪↪(((∮⋰*⋻3867)⋭≵⋰*⋻288A∺≝⩲⋰*⋻3133)⩚⊴⇥((↸⊣⋰*⋻13A5)⋻⩜⩜⋰*⋻8A9∑⇟⊟⋰*⋻2981))=NaN","reverse_text":"NaN=((⋰*⋻1879⫃⨇⋰*⋻3294)⨸(⪸⋰*⋻6695)∠↢(⋰*⋻197A≃⋄)⪃⊛⇣(⋰*⋻3117⇮⋭⋰*⋻113A))⩼⇪↪(((∮⋰*⋻3867)⋭≵⋰*⋻288A∺≝⩲⋰*⋻3133)⩚⊴⇥((↸⊣⋰*⋻13A5)⋻⩜⩜⋰*⋻8A9∑⇟⊟⋰*⋻2981))","cot":[{"info":"⋰*⋻1879⫃⨇⋰*⋻3294=⋰*⋻-12074","layer":3},{"info":"⪸⋰*⋻6695=⋰*⋻-A2498","layer":3},{"info":"⋰*⋻-12074⨸⋰*⋻-A2498=⋰*⋻-8503783","layer":2},{"info":"⋰*⋻197A≃⋄=⋰*⋻635","layer":3},{"info":"⋰*⋻3117⇮⋭⋰*⋻113A=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻635⪃⊛⇣⋰*⋻-3A0=⋰*⋻A22","layer":2},{"info":"⋰*⋻-8503783∠↢⋰*⋻A22=⋰*⋻3090271A","layer":1},{"info":"∮⋰*⋻3867=⋰*⋻61","layer":3},{"info":"⋰*⋻288A∺≝⩲⋰*⋻3133=⋰*⋻136","layer":3},{"info":"⋰*⋻61⋭≵⋰*⋻136=⋰*⋻-91","layer":2},{"info":"↸⊣⋰*⋻13A5=⋰*⋻-1164","layer":3},{"info":"⋰*⋻8A9∑⇟⊟⋰*⋻2981=NaN","layer":3},{"info":"⋰*⋻-1164⋻⩜⩜NaN=NaN","layer":2},{"info":"⋰*⋻-91⩚⊴⇥NaN=NaN","layer":1},{"info":"⋰*⋻3090271A⩼⇪↪NaN=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"((($3915$⇄$1261$)⋛($8572$⪨⊡$2534$))⩍⋽⫝̸(⨆≐≲$6024$)⨥⫆($1465$⊉≛↸$4093$))⪟⇏(((≪$1251$)⇼⇔∾($7979$⨌↪))⫁($1655$⊉↱≁$2723$⫚↹⊑$2054$⨂≜$2565$))","expression":"(((⋰*⋻2A3A⇄⋰*⋻A47)⋛(⋰*⋻6493⪨⊡⋰*⋻19A4))⩍⋽⫝̸(⨆≐≲⋰*⋻4587)⨥⫆(⋰*⋻1112⊉≛↸⋰*⋻3091))⪟⇏(((≪⋰*⋻A38)⇼⇔∾(⋰*⋻5AA4⨌↪))⫁(⋰*⋻1275⊉↱≁⋰*⋻2056⫚↹⊑⋰*⋻15A8⨂≜⋰*⋻1A22))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4067,"operation_count":15,"complexity_ratio":271.1333333333333,"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":3915,"base":11},"right_expr":{"type":"numeric_atoms","value":1261,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":8572,"base":11},"right_expr":{"type":"numeric_atoms","value":2534,"base":11}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":6024,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1465,"base":11},"right_expr":{"type":"numeric_atoms","value":4093,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1251,"base":11}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":7979,"base":11}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1655,"base":11},"right_expr":{"type":"numeric_atoms","value":2723,"base":11}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2054,"base":11},"right_expr":{"type":"numeric_atoms","value":2565,"base":11}}}}},"used_operators":["GODebY97qR","BiWNJpBvwn","YbUVn0Rbpy","3EYGwJThht","kuIXHzHcAH","yXekIHxTD4","Bi9z9uYZqW","DZ8iAZOCBD","0ajvFaJAv0","tifHPKVTfV","Qtd6bqUJcN","cWQsF5MvuD","dfKe02y8D2","w2P8NbNXyL","k1SHOSEABc"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3915","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=1261, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=8572","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=8572, right_input=2534, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-124197","layer":2},{"info":"number node, value=6024","layer":4},{"info":"compute unary expreesion, input=6024, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=65593176","layer":3},{"info":"number node, value=1465","layer":4},{"info":"number node, value=4093","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=4093, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2930","layer":3},{"info":"compute binary expreesion, left_input=65593176, right_input=2930, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5736","layer":2},{"info":"compute binary expreesion, left_input=-124197, right_input=5736, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4790","layer":1},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=7979","layer":4},{"info":"compute unary expreesion, input=7979, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-480, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1393","layer":2},{"info":"number node, value=1655","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=2723, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-902","layer":3},{"info":"number node, value=2054","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=2565, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-902, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-1393, right_input=-447, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=4790, right_input=160, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2A3A⇄⋰*⋻A47)⋛(⋰*⋻6493⪨⊡⋰*⋻19A4))⩍⋽⫝̸(⨆≐≲⋰*⋻4587)⨥⫆(⋰*⋻1112⊉≛↸⋰*⋻3091))⪟⇏(((≪⋰*⋻A38)⇼⇔∾(⋰*⋻5AA4⨌↪))⫁(⋰*⋻1275⊉↱≁⋰*⋻2056⫚↹⊑⋰*⋻15A8⨂≜⋰*⋻1A22))=⋰*⋻0","reverse_text":"⋰*⋻0=(((⋰*⋻2A3A⇄⋰*⋻A47)⋛(⋰*⋻6493⪨⊡⋰*⋻19A4))⩍⋽⫝̸(⨆≐≲⋰*⋻4587)⨥⫆(⋰*⋻1112⊉≛↸⋰*⋻3091))⪟⇏(((≪⋰*⋻A38)⇼⇔∾(⋰*⋻5AA4⨌↪))⫁(⋰*⋻1275⊉↱≁⋰*⋻2056⫚↹⊑⋰*⋻15A8⨂≜⋰*⋻1A22))","cot":[{"info":"⋰*⋻2A3A⇄⋰*⋻A47=⋰*⋻0","layer":3},{"info":"⋰*⋻6493⪨⊡⋰*⋻19A4=⋰*⋻0","layer":3},{"info":"⋰*⋻0⋛⋰*⋻0=⋰*⋻-85347","layer":2},{"info":"⨆≐≲⋰*⋻4587=⋰*⋻34031140","layer":3},{"info":"⋰*⋻1112⊉≛↸⋰*⋻3091=⋰*⋻2224","layer":3},{"info":"⋰*⋻34031140⨥⫆⋰*⋻2224=⋰*⋻4345","layer":2},{"info":"⋰*⋻-85347⩍⋽⫝̸⋰*⋻4345=⋰*⋻3665","layer":1},{"info":"≪⋰*⋻A38=⋰*⋻760","layer":3},{"info":"⋰*⋻5AA4⨌↪=⋰*⋻-3A7","layer":3},{"info":"⋰*⋻760⇼⇔∾⋰*⋻-3A7=⋰*⋻-1057","layer":2},{"info":"⋰*⋻1275⊉↱≁⋰*⋻2056=⋰*⋻-750","layer":3},{"info":"⋰*⋻15A8⨂≜⋰*⋻1A22=NaN","layer":3},{"info":"⋰*⋻-750⫚↹⊑NaN=⋰*⋻-377","layer":2},{"info":"⋰*⋻-1057⫁⋰*⋻-377=⋰*⋻136","layer":1},{"info":"⋰*⋻3665⪟⇏⋰*⋻136=⋰*⋻0","layer":0}]}
{"id":727,"expression_no_base_symbol":"(($2469$⊴$4310$⪁(↔$1990$))⊭↱(⪹($1356$⋹)))⨽∌(∑⇻≧(∂$1083$)⊕∕($2691$∑⇟⊟$1689$))","expression":"((⋰*⋻1945⊴⋰*⋻3269⪁(↔⋰*⋻154A))⊭↱(⪹(⋰*⋻1023⋹)))⨽∌(∑⇻≧(∂⋰*⋻8A5)⊕∕(⋰*⋻2027∑⇟⊟⋰*⋻12A6))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6233,"operation_count":11,"complexity_ratio":566.6363636363636,"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":2469,"base":11},"right_expr":{"type":"numeric_atoms","value":4310,"base":11}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1990,"base":11}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1356,"base":11}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1083,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2691,"base":11},"right_expr":{"type":"numeric_atoms","value":1689,"base":11}}}}},"used_operators":["9samAPKr6k","COABgblf1C","I7sXao9hZE","Nsiff2A1zJ","ruOEQAzv1W","USyYr0JgAa","opAxDRczMr","l1M9WJ3V7u","9cloC0Ngie","Uaa54Peajs","U7g4x0WXJJ"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tifHPKVTfV","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2469","layer":4},{"info":"number node, value=4310","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=4310, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1990","layer":4},{"info":"compute unary expreesion, input=1990, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1717","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1717, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1356","layer":4},{"info":"compute unary expreesion, input=1356, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute unary expreesion, input=-20, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=200","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=200, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, 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=2691","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=1689, 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 = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1945⊴⋰*⋻3269⪁(↔⋰*⋻154A))⊭↱(⪹(⋰*⋻1023⋹)))⨽∌(∑⇻≧(∂⋰*⋻8A5)⊕∕(⋰*⋻2027∑⇟⊟⋰*⋻12A6))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻1945⊴⋰*⋻3269⪁(↔⋰*⋻154A))⊭↱(⪹(⋰*⋻1023⋹)))⨽∌(∑⇻≧(∂⋰*⋻8A5)⊕∕(⋰*⋻2027∑⇟⊟⋰*⋻12A6))","cot":[{"info":"⋰*⋻1945⊴⋰*⋻3269=NaN","layer":3},{"info":"↔⋰*⋻154A=⋰*⋻-1321","layer":3},{"info":"NaN⪁⋰*⋻-1321=NaN","layer":2},{"info":"⋰*⋻1023⋹=⋰*⋻-19","layer":3},{"info":"⪹⋰*⋻-19=⋰*⋻172","layer":2},{"info":"NaN⊭↱⋰*⋻172=NaN","layer":1},{"info":"∂⋰*⋻8A5=NaN","layer":3},{"info":"⋰*⋻2027∑⇟⊟⋰*⋻12A6=NaN","layer":3},{"info":"NaN⊕∕NaN=NaN","layer":2},{"info":"∑⇻≧NaN=⋰*⋻-705","layer":1},{"info":"NaN⨽∌⋰*⋻-705=⋰*⋻0","layer":0}]}
{"id":728,"expression_no_base_symbol":"↩(($2276$∙∹∝$2641$)⪔($1116$⪉⨛$3076$))≝⊿($2840$⨪↰⇹$1463$⫌⩉⩟(⨵≀≌$6748$))","expression":"↩((⋰*⋻178A∙∹∝⋰*⋻1A91)⪔(⋰*⋻925⪉⨛⋰*⋻2347))≝⊿(⋰*⋻2152⨪↰⇹⋰*⋻1110⫌⩉⩟(⨵≀≌⋰*⋻5085))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":108020,"operation_count":8,"complexity_ratio":13502.5,"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":2276,"base":11},"right_expr":{"type":"numeric_atoms","value":2641,"base":11}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1116,"base":11},"right_expr":{"type":"numeric_atoms","value":3076,"base":11}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2840,"base":11},"right_expr":{"type":"numeric_atoms","value":1463,"base":11}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6748,"base":11}}}}},"used_operators":["jLgFTUHLKL","OKKcZfAt5B","GjBEYRfMaF","HmxsFra2vL","EWw2JM7wp4","XIIwhv8d0m","tmPS8pqC7x","srAu1WTS94"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","12rbrZMWeM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2276","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=2641, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1116","layer":4},{"info":"number node, value=3076","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=3076, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=487","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=487, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"number node, value=2840","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=2840, right_input=1463, 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=2840","layer":3},{"info":"number node, value=6748","layer":4},{"info":"compute unary expreesion, input=6748, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20244","layer":3},{"info":"compute binary expreesion, left_input=2840, right_input=-20244, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒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":11,"result_base":11,"text":"↩((⋰*⋻178A∙∹∝⋰*⋻1A91)⪔(⋰*⋻925⪉⨛⋰*⋻2347))≝⊿(⋰*⋻2152⨪↰⇹⋰*⋻1110⫌⩉⩟(⨵≀≌⋰*⋻5085))=NaN","reverse_text":"NaN=↩((⋰*⋻178A∙∹∝⋰*⋻1A91)⪔(⋰*⋻925⪉⨛⋰*⋻2347))≝⊿(⋰*⋻2152⨪↰⇹⋰*⋻1110⫌⩉⩟(⨵≀≌⋰*⋻5085))","cot":[{"info":"⋰*⋻178A∙∹∝⋰*⋻1A91=⋰*⋻0","layer":3},{"info":"⋰*⋻925⪉⨛⋰*⋻2347=⋰*⋻403","layer":3},{"info":"⋰*⋻0⪔⋰*⋻403=NaN","layer":2},{"info":"⋰*⋻2152⨪↰⇹⋰*⋻1110=⋰*⋻2152","layer":3},{"info":"⨵≀≌⋰*⋻5085=⋰*⋻-14234","layer":3},{"info":"⋰*⋻2152⫌⩉⩟⋰*⋻-14234=⋰*⋻-46","layer":2},{"info":"NaN≝⊿⋰*⋻-46=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":729,"expression_no_base_symbol":"⩰($1010$→⨶⪴$2385$⫃⨇(⊿$5810$))⊬⨰(($4482$⊬⫿⊭)⇷(⪨⨬$3540$))","expression":"⩰(⋰*⋻839→⨶⪴⋰*⋻1879⫃⨇(⊿⋰*⋻4402))⊬⨰((⋰*⋻3405⊬⫿⊭)⇷(⪨⨬⋰*⋻2729))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":188346,"operation_count":8,"complexity_ratio":23543.25,"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":1010,"base":11},"right_expr":{"type":"numeric_atoms","value":2385,"base":11}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":5810,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":4482,"base":11}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":3540,"base":11}}}}},"used_operators":["WkeUrDK8WX","s3Fd5m9Dh2","09Ly4LVMIf","bF6eod5Gvf","DO4fhlbJSI","mp7IySMOzn","v0DYgG9ikt","5obUd6DV38"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","T2fj7uvVaJ","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2385, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7155","layer":3},{"info":"number node, value=5810","layer":4},{"info":"compute unary expreesion, input=5810, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-23978","layer":3},{"info":"compute binary expreesion, left_input=-7155, right_input=-23978, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=95880","layer":2},{"info":"number node, value=4482","layer":4},{"info":"compute unary expreesion, input=4482, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-13446","layer":3},{"info":"number node, value=3540","layer":4},{"info":"compute unary expreesion, input=3540, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=-13446, right_input=-526, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=95880, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩰(⋰*⋻839→⨶⪴⋰*⋻1879⫃⨇(⊿⋰*⋻4402))⊬⨰((⋰*⋻3405⊬⫿⊭)⇷(⪨⨬⋰*⋻2729))=NaN","reverse_text":"NaN=⩰(⋰*⋻839→⨶⪴⋰*⋻1879⫃⨇(⊿⋰*⋻4402))⊬⨰((⋰*⋻3405⊬⫿⊭)⇷(⪨⨬⋰*⋻2729))","cot":[{"info":"⋰*⋻839→⨶⪴⋰*⋻1879=⋰*⋻-5415","layer":3},{"info":"⊿⋰*⋻4402=⋰*⋻-17019","layer":3},{"info":"⋰*⋻-5415⫃⨇⋰*⋻-17019=⋰*⋻66044","layer":2},{"info":"⋰*⋻3405⊬⫿⊭=⋰*⋻-A114","layer":3},{"info":"⪨⨬⋰*⋻2729=⋰*⋻-439","layer":3},{"info":"⋰*⋻-A114⇷⋰*⋻-439=NaN","layer":2},{"info":"⋰*⋻66044⊬⨰NaN=NaN","layer":1},{"info":"⩰NaN=NaN","layer":0}]}
{"id":730,"expression_no_base_symbol":"($9032$∣$2533$⨐⩸⫘$1248$⨪↰⇹$6495$)⨚⇆$7066$⩁⩘$3166$≠≀($5716$⪄$1760$)⊾⪯⋞(≋($1878$⪭$4801$))⨚((∂$8357$)≀⩗∶$2837$⪘⫢$4547$)","expression":"(⋰*⋻6871∣⋰*⋻19A3⨐⩸⫘⋰*⋻A35⨪↰⇹⋰*⋻4975)⨚⇆⋰*⋻5344⩁⩘⋰*⋻2419≠≀(⋰*⋻4327⪄⋰*⋻1360)⊾⪯⋞(≋(⋰*⋻1458⪭⋰*⋻3675))⨚((∂⋰*⋻6308)≀⩗∶⋰*⋻214A⪘⫢⋰*⋻3464)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1515,"operation_count":14,"complexity_ratio":108.21428571428571,"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":9032,"base":11},"right_expr":{"type":"numeric_atoms","value":2533,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1248,"base":11},"right_expr":{"type":"numeric_atoms","value":6495,"base":11}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":7066,"base":11},"right_expr":{"type":"numeric_atoms","value":3166,"base":11}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5716,"base":11},"right_expr":{"type":"numeric_atoms","value":1760,"base":11}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1878,"base":11},"right_expr":{"type":"numeric_atoms","value":4801,"base":11}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8357,"base":11}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2837,"base":11},"right_expr":{"type":"numeric_atoms","value":4547,"base":11}}}}},"used_operators":["HK0tfVPux8","lwHaAYXP2r","fu6greOZ01","PPChnnnBFF","tmPS8pqC7x","IwW236VD4Y","gub5Cegaqo","SUmda5xLS4","nREPSIbpBE","61wBmkZwlr","j9kHMeSvPp","8INZBEW696","Uaa54Peajs","oacrs7FA3X"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","3ViojmjbAp","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rJVOvQCfKK","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","DpFCA1CohY","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","7j4O788W3g","COABgblf1C","xUOZtlo3hN","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9032","layer":4},{"info":"number node, value=2533","layer":4},{"info":"compute binary expreesion, left_input=9032, right_input=2533, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=9032","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=6495","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=6495, 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=1248","layer":3},{"info":"compute binary expreesion, left_input=9032, right_input=1248, 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=7066","layer":4},{"info":"number node, value=3166","layer":4},{"info":"compute binary expreesion, left_input=7066, right_input=3166, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=13612","layer":3},{"info":"number node, value=5716","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=5716, right_input=1760, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-849097","layer":3},{"info":"compute binary expreesion, left_input=13612, right_input=-849097, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=835364","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=835364, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=1878","layer":4},{"info":"number node, value=4801","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=4801, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=5","layer":2},{"info":"number node, value=8357","layer":4},{"info":"compute unary expreesion, input=8357, 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=2837","layer":4},{"info":"number node, value=4547","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=4547, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5550","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5550, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻6871∣⋰*⋻19A3⨐⩸⫘⋰*⋻A35⨪↰⇹⋰*⋻4975)⨚⇆⋰*⋻5344⩁⩘⋰*⋻2419≠≀(⋰*⋻4327⪄⋰*⋻1360)⊾⪯⋞(≋(⋰*⋻1458⪭⋰*⋻3675))⨚((∂⋰*⋻6308)≀⩗∶⋰*⋻214A⪘⫢⋰*⋻3464)=NaN","reverse_text":"NaN=(⋰*⋻6871∣⋰*⋻19A3⨐⩸⫘⋰*⋻A35⨪↰⇹⋰*⋻4975)⨚⇆⋰*⋻5344⩁⩘⋰*⋻2419≠≀(⋰*⋻4327⪄⋰*⋻1360)⊾⪯⋞(≋(⋰*⋻1458⪭⋰*⋻3675))⨚((∂⋰*⋻6308)≀⩗∶⋰*⋻214A⪘⫢⋰*⋻3464)","cot":[{"info":"⋰*⋻6871∣⋰*⋻19A3=⋰*⋻6871","layer":3},{"info":"⋰*⋻A35⨪↰⇹⋰*⋻4975=⋰*⋻A35","layer":3},{"info":"⋰*⋻6871⨐⩸⫘⋰*⋻A35=NaN","layer":2},{"info":"⋰*⋻5344⩁⩘⋰*⋻2419=⋰*⋻A255","layer":3},{"info":"⋰*⋻4327⪄⋰*⋻1360=⋰*⋻-52AA37","layer":3},{"info":"⋰*⋻A255≠≀⋰*⋻-52AA37=⋰*⋻520692","layer":2},{"info":"NaN⨚⇆⋰*⋻520692=NaN","layer":1},{"info":"⋰*⋻1458⪭⋰*⋻3675=⋰*⋻5","layer":3},{"info":"≋⋰*⋻5=⋰*⋻5","layer":2},{"info":"∂⋰*⋻6308=NaN","layer":3},{"info":"⋰*⋻214A⪘⫢⋰*⋻3464=⋰*⋻4196","layer":3},{"info":"NaN≀⩗∶⋰*⋻4196=NaN","layer":2},{"info":"⋰*⋻5⨚NaN=NaN","layer":1},{"info":"NaN⊾⪯⋞NaN=NaN","layer":0}]}
{"id":731,"expression_no_base_symbol":"(⇙⪊(⫇($1533$≬⇓$2268$)))∥⊢⊲($6243$⇻⋧≁$1511$⋥⋵⩄($1436$⫚↹⊑$3927$)⨓($2970$⫸⊐$2804$%$1043$⩌⋺$1917$))","expression":"(⇙⪊(⫇(⋰*⋻1174≬⇓⋰*⋻1782)))∥⊢⊲(⋰*⋻4766⇻⋧≁⋰*⋻1154⋥⋵⩄(⋰*⋻1096⫚↹⊑⋰*⋻2A50)⨓(⋰*⋻2260⫸⊐⋰*⋻211A%⋰*⋻869⩌⋺⋰*⋻1493))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7615,"operation_count":11,"complexity_ratio":692.2727272727273,"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":1533,"base":11},"right_expr":{"type":"numeric_atoms","value":2268,"base":11}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":6243,"base":11},"right_expr":{"type":"numeric_atoms","value":1511,"base":11}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1436,"base":11},"right_expr":{"type":"numeric_atoms","value":3927,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2970,"base":11},"right_expr":{"type":"numeric_atoms","value":2804,"base":11}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1043,"base":11},"right_expr":{"type":"numeric_atoms","value":1917,"base":11}}}}},"used_operators":["v1UQAVDJRr","pB6Fcnrjim","YjI8oCXuph","jWTQ2TZYIH","3ViojmjbAp","7t3wd0Fuz7","jCPkEVoL5K","dfKe02y8D2","k8jYdgA6NY","mqXw5SEYmG","g7Hmc5v1ko"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1533","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=2268, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=924","layer":2},{"info":"compute unary expreesion, input=924, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=6243","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=1511, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1436","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=3927, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-447, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=3820","layer":2},{"info":"number node, value=2970","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=2804, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11091","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1917, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3081","layer":3},{"info":"compute binary expreesion, left_input=11091, right_input=-3081, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1233","layer":2},{"info":"compute binary expreesion, left_input=3820, right_input=-1233, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1236","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1236, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇙⪊(⫇(⋰*⋻1174≬⇓⋰*⋻1782)))∥⊢⊲(⋰*⋻4766⇻⋧≁⋰*⋻1154⋥⋵⩄(⋰*⋻1096⫚↹⊑⋰*⋻2A50)⨓(⋰*⋻2260⫸⊐⋰*⋻211A%⋰*⋻869⩌⋺⋰*⋻1493))=NaN","reverse_text":"NaN=(⇙⪊(⫇(⋰*⋻1174≬⇓⋰*⋻1782)))∥⊢⊲(⋰*⋻4766⇻⋧≁⋰*⋻1154⋥⋵⩄(⋰*⋻1096⫚↹⊑⋰*⋻2A50)⨓(⋰*⋻2260⫸⊐⋰*⋻211A%⋰*⋻869⩌⋺⋰*⋻1493))","cot":[{"info":"⋰*⋻1174≬⇓⋰*⋻1782=⋰*⋻-20","layer":3},{"info":"⫇⋰*⋻-20=⋰*⋻770","layer":2},{"info":"⇙⪊⋰*⋻770=⋰*⋻0","layer":1},{"info":"⋰*⋻4766⇻⋧≁⋰*⋻1154=⋰*⋻-377","layer":3},{"info":"⋰*⋻1096⫚↹⊑⋰*⋻2A50=⋰*⋻-377","layer":3},{"info":"⋰*⋻-377⋥⋵⩄⋰*⋻-377=⋰*⋻2963","layer":2},{"info":"⋰*⋻2260⫸⊐⋰*⋻211A=⋰*⋻8373","layer":3},{"info":"⋰*⋻869⩌⋺⋰*⋻1493=⋰*⋻-2351","layer":3},{"info":"⋰*⋻8373%⋰*⋻-2351=⋰*⋻-A21","layer":2},{"info":"⋰*⋻2963⨓⋰*⋻-A21=⋰*⋻-A24","layer":1},{"info":"⋰*⋻0∥⊢⊲⋰*⋻-A24=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"(⫓⪴$1020$⋛$1107$)≴⪞⇿(($6505$⋻⩜⩜$5656$)⪭$7854$⪬$3721$)↸(($2017$⨓$5061$∪⫐$1439$⩼⇪↪$7607$)⊍⩺⋍$2348$⪝$5954$+⪬∐($2254$≚⊃≕$1153$))","expression":"(⫓⪴⋰*⋻848⋛⋰*⋻917)≴⪞⇿((⋰*⋻4984⋻⩜⩜⋰*⋻4282)⪭⋰*⋻59A0⪬⋰*⋻2883)↸((⋰*⋻1574⨓⋰*⋻3891∪⫐⋰*⋻1099⩼⇪↪⋰*⋻5796)⊍⩺⋍⋰*⋻1845⪝⋰*⋻4523+⪬∐(⋰*⋻176A≚⊃≕⋰*⋻959))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":208816,"operation_count":14,"complexity_ratio":14915.42857142857,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1020,"base":11},"right_expr":{"type":"numeric_atoms","value":1107,"base":11}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6505,"base":11},"right_expr":{"type":"numeric_atoms","value":5656,"base":11}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":7854,"base":11},"right_expr":{"type":"numeric_atoms","value":3721,"base":11}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2017,"base":11},"right_expr":{"type":"numeric_atoms","value":5061,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1439,"base":11},"right_expr":{"type":"numeric_atoms","value":7607,"base":11}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2348,"base":11},"right_expr":{"type":"numeric_atoms","value":5954,"base":11}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2254,"base":11},"right_expr":{"type":"numeric_atoms","value":1153,"base":11}}}}},"used_operators":["1eCjFl0mb9","lvlrscuwVU","eLxqMNBOBk","YbUVn0Rbpy","j9kHMeSvPp","oDCm7WA9JY","Ez1Nq5fNfI","OXDGMFPWZM","7YooWSwCyH","3ViojmjbAp","ocnLzx9CaJ","2GS7woTJqF","wicAB68Tmb","Bmrmz2XGnR"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9HNa5Wba9A","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rJVOvQCfKK","2DDjHMKMc0","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1107, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-123012","layer":3},{"info":"compute unary expreesion, input=-123012, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"number node, value=6505","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=6505, right_input=5656, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=13010","layer":3},{"info":"number node, value=7854","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=7854, right_input=3721, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=13010, right_input=1234, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=5, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=2017","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=5061, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5064","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=7607","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=7607, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-51154","layer":3},{"info":"compute binary expreesion, left_input=-5064, right_input=-51154, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-5064","layer":2},{"info":"number node, value=2348","layer":4},{"info":"number node, value=5954","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=5954, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=2254","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=2254, right_input=1153, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=67, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-711","layer":2},{"info":"compute binary expreesion, left_input=-5064, right_input=-711, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴⋰*⋻848⋛⋰*⋻917)≴⪞⇿((⋰*⋻4984⋻⩜⩜⋰*⋻4282)⪭⋰*⋻59A0⪬⋰*⋻2883)↸((⋰*⋻1574⨓⋰*⋻3891∪⫐⋰*⋻1099⩼⇪↪⋰*⋻5796)⊍⩺⋍⋰*⋻1845⪝⋰*⋻4523+⪬∐(⋰*⋻176A≚⊃≕⋰*⋻959))=NaN","reverse_text":"NaN=(⫓⪴⋰*⋻848⋛⋰*⋻917)≴⪞⇿((⋰*⋻4984⋻⩜⩜⋰*⋻4282)⪭⋰*⋻59A0⪬⋰*⋻2883)↸((⋰*⋻1574⨓⋰*⋻3891∪⫐⋰*⋻1099⩼⇪↪⋰*⋻5796)⊍⩺⋍⋰*⋻1845⪝⋰*⋻4523+⪬∐(⋰*⋻176A≚⊃≕⋰*⋻959))","cot":[{"info":"⋰*⋻848⋛⋰*⋻917=⋰*⋻-8446A","layer":3},{"info":"⫓⪴⋰*⋻-8446A=Inf","layer":2},{"info":"⋰*⋻4984⋻⩜⩜⋰*⋻4282=⋰*⋻9858","layer":3},{"info":"⋰*⋻59A0⪬⋰*⋻2883=⋰*⋻A22","layer":3},{"info":"⋰*⋻9858⪭⋰*⋻A22=⋰*⋻5","layer":2},{"info":"Inf≴⪞⇿⋰*⋻5=NaN","layer":1},{"info":"⋰*⋻1574⨓⋰*⋻3891=⋰*⋻-3894","layer":3},{"info":"⋰*⋻1099⩼⇪↪⋰*⋻5796=⋰*⋻-35484","layer":3},{"info":"⋰*⋻-3894∪⫐⋰*⋻-35484=⋰*⋻-3894","layer":2},{"info":"⋰*⋻1845⪝⋰*⋻4523=⋰*⋻1A6","layer":3},{"info":"⋰*⋻176A≚⊃≕⋰*⋻959=⋰*⋻61","layer":3},{"info":"⋰*⋻1A6+⪬∐⋰*⋻61=⋰*⋻-597","layer":2},{"info":"⋰*⋻-3894⊍⩺⋍⋰*⋻-597=NaN","layer":1},{"info":"NaN↸NaN=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"($1626$∇⊂⋱$1649$⨒($4272$⨸⪁$1004$)↱(≸($1962$⋷$6631$)))≥⨤⩑(($4465$⫡⨏$5513$)∠↢$1329$≨$1574$)⇌⫙⪟($2270$⇷$4366$)↞⋁(⇤←$5144$)","expression":"(⋰*⋻1249∇⊂⋱⋰*⋻126A⨒(⋰*⋻3234⨸⪁⋰*⋻833)↱(≸(⋰*⋻1524⋷⋰*⋻4A89)))≥⨤⩑((⋰*⋻339A⫡⨏⋰*⋻4162)∠↢⋰*⋻AA9≨⋰*⋻1201)⇌⫙⪟(⋰*⋻1784⇷⋰*⋻330A)↞⋁(⇤←⋰*⋻3957)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":32094,"operation_count":14,"complexity_ratio":2292.4285714285716,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1626,"base":11},"right_expr":{"type":"numeric_atoms","value":1649,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4272,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1962,"base":11},"right_expr":{"type":"numeric_atoms","value":6631,"base":11}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4465,"base":11},"right_expr":{"type":"numeric_atoms","value":5513,"base":11}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1329,"base":11},"right_expr":{"type":"numeric_atoms","value":1574,"base":11}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2270,"base":11},"right_expr":{"type":"numeric_atoms","value":4366,"base":11}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":5144,"base":11}}}}},"used_operators":["gJLn6v0xnP","SR5kFfdi6N","y75s1iXyHd","nhYeJWJD5X","g55IO6H4Gj","eOf03JbCpp","23Mk6UjR3U","AFVx7xoS7T","KbjG8mgYpV","QMFrweE19q","0KMCeP1Jsh","RqrPlJkxDo","mp7IySMOzn","jfAgQ2OQeM"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1626","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=1649, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2706","layer":3},{"info":"number node, value=4272","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=1004, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10552","layer":3},{"info":"compute binary expreesion, left_input=2706, right_input=10552, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-15864","layer":2},{"info":"number node, value=1962","layer":4},{"info":"number node, value=6631","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=6631, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11300","layer":3},{"info":"compute unary expreesion, input=11300, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"compute binary expreesion, left_input=-15864, right_input=58, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=16018","layer":1},{"info":"number node, value=4465","layer":4},{"info":"number node, value=5513","layer":4},{"info":"compute binary expreesion, left_input=4465, right_input=5513, 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=34134","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=1574, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-10814","layer":3},{"info":"compute binary expreesion, left_input=34134, right_input=-10814, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=15942","layer":2},{"info":"number node, value=2270","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=4366, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8732","layer":3},{"info":"number node, value=5144","layer":4},{"info":"compute unary expreesion, input=5144, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-24354","layer":3},{"info":"compute binary expreesion, left_input=8732, right_input=-24354, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=8732","layer":2},{"info":"compute binary expreesion, left_input=15942, right_input=8732, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=16018, right_input=113, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1249∇⊂⋱⋰*⋻126A⨒(⋰*⋻3234⨸⪁⋰*⋻833)↱(≸(⋰*⋻1524⋷⋰*⋻4A89)))≥⨤⩑((⋰*⋻339A⫡⨏⋰*⋻4162)∠↢⋰*⋻AA9≨⋰*⋻1201)⇌⫙⪟(⋰*⋻1784⇷⋰*⋻330A)↞⋁(⇤←⋰*⋻3957)=⋰*⋻A22","reverse_text":"⋰*⋻A22=(⋰*⋻1249∇⊂⋱⋰*⋻126A⨒(⋰*⋻3234⨸⪁⋰*⋻833)↱(≸(⋰*⋻1524⋷⋰*⋻4A89)))≥⨤⩑((⋰*⋻339A⫡⨏⋰*⋻4162)∠↢⋰*⋻AA9≨⋰*⋻1201)⇌⫙⪟(⋰*⋻1784⇷⋰*⋻330A)↞⋁(⇤←⋰*⋻3957)","cot":[{"info":"⋰*⋻1249∇⊂⋱⋰*⋻126A=⋰*⋻2040","layer":3},{"info":"⋰*⋻3234⨸⪁⋰*⋻833=⋰*⋻7A23","layer":3},{"info":"⋰*⋻2040⨒⋰*⋻7A23=⋰*⋻-10A12","layer":2},{"info":"⋰*⋻1524⋷⋰*⋻4A89=⋰*⋻8543","layer":3},{"info":"≸⋰*⋻8543=⋰*⋻53","layer":2},{"info":"⋰*⋻-10A12↱⋰*⋻53=⋰*⋻11042","layer":1},{"info":"⋰*⋻339A⫡⨏⋰*⋻4162=⋰*⋻23711","layer":3},{"info":"⋰*⋻AA9≨⋰*⋻1201=⋰*⋻-8141","layer":3},{"info":"⋰*⋻23711∠↢⋰*⋻-8141=⋰*⋻10A83","layer":2},{"info":"⋰*⋻1784⇷⋰*⋻330A=⋰*⋻6619","layer":3},{"info":"⇤←⋰*⋻3957=⋰*⋻-17330","layer":3},{"info":"⋰*⋻6619↞⋁⋰*⋻-17330=⋰*⋻6619","layer":2},{"info":"⋰*⋻10A83⇌⫙⪟⋰*⋻6619=⋰*⋻A3","layer":1},{"info":"⋰*⋻11042≥⨤⩑⋰*⋻A3=⋰*⋻A22","layer":0}]}
{"id":734,"expression_no_base_symbol":"($1452$⊋$5263$%$4527$⪔⊥$2514$)⊢(⫛⫱⨽(≦∁$4106$))⪇≇⋚$1697$∺≝⩲$2401$∛($4181$≋⫹)≒∊(($5657$-$4441$)⊭∹↮)","expression":"(⋰*⋻1100⊋⋰*⋻3A55%⋰*⋻3446⪔⊥⋰*⋻1986)⊢(⫛⫱⨽(≦∁⋰*⋻30A3))⪇≇⋚⋰*⋻1303∺≝⩲⋰*⋻1893∛(⋰*⋻3161≋⫹)≒∊((⋰*⋻4283-⋰*⋻3378)⊭∹↮)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21266,"operation_count":13,"complexity_ratio":1635.8461538461538,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1452,"base":11},"right_expr":{"type":"numeric_atoms","value":5263,"base":11}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4527,"base":11},"right_expr":{"type":"numeric_atoms","value":2514,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4106,"base":11}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1697,"base":11},"right_expr":{"type":"numeric_atoms","value":2401,"base":11}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4181,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5657,"base":11},"right_expr":{"type":"numeric_atoms","value":4441,"base":11}}}}},"used_operators":["3sJ7IOPOlU","5twsqlHp2o","k8jYdgA6NY","W4tP9CfskL","HJ9erzHUuu","DlLNRPXxWL","9ICcGScMcE","5KTvxBwnZo","w2537kitQq","KPf6cnQVty","N41Kp7NANJ","xNBdhnnwKq","rysDP5nf3Z"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1452","layer":4},{"info":"number node, value=5263","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=5263, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-156387120","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=2514","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=2514, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=12881","layer":3},{"info":"compute binary expreesion, left_input=-156387120, right_input=12881, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1101","layer":2},{"info":"number node, value=4106","layer":4},{"info":"compute unary expreesion, input=4106, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4106","layer":3},{"info":"compute unary expreesion, input=4106, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1101, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2446","layer":1},{"info":"number node, value=1697","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=2401, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=4181","layer":4},{"info":"compute unary expreesion, input=4181, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8362","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-8362, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=5657","layer":4},{"info":"number node, value=4441","layer":4},{"info":"compute binary expreesion, left_input=5657, right_input=4441, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1216","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=67, right_input=2432, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=417","layer":1},{"info":"compute binary expreesion, left_input=-2446, right_input=417, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1100⊋⋰*⋻3A55%⋰*⋻3446⪔⊥⋰*⋻1986)⊢(⫛⫱⨽(≦∁⋰*⋻30A3))⪇≇⋚⋰*⋻1303∺≝⩲⋰*⋻1893∛(⋰*⋻3161≋⫹)≒∊((⋰*⋻4283-⋰*⋻3378)⊭∹↮)=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻1100⊋⋰*⋻3A55%⋰*⋻3446⪔⊥⋰*⋻1986)⊢(⫛⫱⨽(≦∁⋰*⋻30A3))⪇≇⋚⋰*⋻1303∺≝⩲⋰*⋻1893∛(⋰*⋻3161≋⫹)≒∊((⋰*⋻4283-⋰*⋻3378)⊭∹↮)","cot":[{"info":"⋰*⋻1100⊋⋰*⋻3A55=⋰*⋻-80304A5A","layer":3},{"info":"⋰*⋻3446⪔⊥⋰*⋻1986=⋰*⋻9750","layer":3},{"info":"⋰*⋻-80304A5A%⋰*⋻9750=⋰*⋻911","layer":2},{"info":"≦∁⋰*⋻30A3=⋰*⋻30A3","layer":3},{"info":"⫛⫱⨽⋰*⋻30A3=⋰*⋻0","layer":2},{"info":"⋰*⋻911⊢⋰*⋻0=⋰*⋻-1924","layer":1},{"info":"⋰*⋻1303∺≝⩲⋰*⋻1893=⋰*⋻136","layer":3},{"info":"⋰*⋻3161≋⫹=⋰*⋻-6312","layer":3},{"info":"⋰*⋻136∛⋰*⋻-6312=⋰*⋻61","layer":2},{"info":"⋰*⋻4283-⋰*⋻3378=⋰*⋻A06","layer":3},{"info":"⋰*⋻A06⊭∹↮=⋰*⋻1911","layer":2},{"info":"⋰*⋻61≒∊⋰*⋻1911=⋰*⋻34A","layer":1},{"info":"⋰*⋻-1924⪇≇⋚⋰*⋻34A=⋰*⋻0","layer":0}]}
{"id":735,"expression_no_base_symbol":"(($4352$⩘⨬⇊)⩇∃⫛($5617$⩧⪆$1011$))↳≱($1585$∇⊂⋱$6484$)⪃⊛⇣($5510$⩼⇪↪$1130$)⫦⪉(($1718$⇼⇔∾$2564$)∙⊟(⩏⊷≩$2707$))⪃⊛⇣(⇘($8165$⊋≦⊧$1652$))","expression":"((⋰*⋻32A7⩘⨬⇊)⩇∃⫛(⋰*⋻4247⩧⪆⋰*⋻83A))↳≱(⋰*⋻1211∇⊂⋱⋰*⋻4965)⪃⊛⇣(⋰*⋻415A⩼⇪↪⋰*⋻938)⫦⪉((⋰*⋻1322⇼⇔∾⋰*⋻1A21)∙⊟(⩏⊷≩⋰*⋻2041))⪃⊛⇣(⇘(⋰*⋻6153⊋≦⊧⋰*⋻1272))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10241,"operation_count":14,"complexity_ratio":731.5,"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":4352,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":5617,"base":11},"right_expr":{"type":"numeric_atoms","value":1011,"base":11}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1585,"base":11},"right_expr":{"type":"numeric_atoms","value":6484,"base":11}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":5510,"base":11},"right_expr":{"type":"numeric_atoms","value":1130,"base":11}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1718,"base":11},"right_expr":{"type":"numeric_atoms","value":2564,"base":11}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2707,"base":11}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":8165,"base":11},"right_expr":{"type":"numeric_atoms","value":1652,"base":11}}}}},"used_operators":["wscyQdcy20","JwTKLfZU96","1aApVXNlOP","XXmTpEpWTW","Ikt5ks8PT7","rrgAzCduG9","nhYeJWJD5X","ocnLzx9CaJ","SxTAKzQCrw","tifHPKVTfV","uOZ1tnYMDE","MGuIdZPyUC","oRDoc9rAEX"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","eewbuw0ToL","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⋰*⋻3755","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4352","layer":4},{"info":"compute unary expreesion, input=4352, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=5617","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=5617, right_input=1011, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1011","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1011, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=1585","layer":4},{"info":"number node, value=6484","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=6484, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2624","layer":3},{"info":"number node, value=5510","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=5510, right_input=1130, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=2327","layer":3},{"info":"compute binary expreesion, left_input=2624, right_input=2327, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1718","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=2564, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=846","layer":3},{"info":"number node, value=2707","layer":4},{"info":"compute unary expreesion, input=2707, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=5113","layer":3},{"info":"compute binary expreesion, left_input=846, right_input=5113, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=20844","layer":2},{"info":"number node, value=8165","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=8165, right_input=1652, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3064","layer":3},{"info":"compute unary expreesion, input=-3064, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-319194545","layer":2},{"info":"compute binary expreesion, left_input=20844, right_input=-319194545, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻32A7⩘⨬⇊)⩇∃⫛(⋰*⋻4247⩧⪆⋰*⋻83A))↳≱(⋰*⋻1211∇⊂⋱⋰*⋻4965)⪃⊛⇣(⋰*⋻415A⩼⇪↪⋰*⋻938)⫦⪉((⋰*⋻1322⇼⇔∾⋰*⋻1A21)∙⊟(⩏⊷≩⋰*⋻2041))⪃⊛⇣(⇘(⋰*⋻6153⊋≦⊧⋰*⋻1272))=⋰*⋻3755","reverse_text":"⋰*⋻3755=((⋰*⋻32A7⩘⨬⇊)⩇∃⫛(⋰*⋻4247⩧⪆⋰*⋻83A))↳≱(⋰*⋻1211∇⊂⋱⋰*⋻4965)⪃⊛⇣(⋰*⋻415A⩼⇪↪⋰*⋻938)⫦⪉((⋰*⋻1322⇼⇔∾⋰*⋻1A21)∙⊟(⩏⊷≩⋰*⋻2041))⪃⊛⇣(⇘(⋰*⋻6153⊋≦⊧⋰*⋻1272))","cot":[{"info":"⋰*⋻32A7⩘⨬⇊=NaN","layer":3},{"info":"⋰*⋻4247⩧⪆⋰*⋻83A=⋰*⋻-83A","layer":3},{"info":"NaN⩇∃⫛⋰*⋻-83A=NaN","layer":2},{"info":"⋰*⋻1211∇⊂⋱⋰*⋻4965=⋰*⋻1A76","layer":3},{"info":"⋰*⋻415A⩼⇪↪⋰*⋻938=⋰*⋻1826","layer":3},{"info":"⋰*⋻1A76⪃⊛⇣⋰*⋻1826=⋰*⋻A22","layer":2},{"info":"NaN↳≱⋰*⋻A22=⋰*⋻0","layer":1},{"info":"⋰*⋻1322⇼⇔∾⋰*⋻1A21=⋰*⋻6AA","layer":3},{"info":"⩏⊷≩⋰*⋻2041=⋰*⋻3929","layer":3},{"info":"⋰*⋻6AA∙⊟⋰*⋻3929=⋰*⋻1472A","layer":2},{"info":"⋰*⋻6153⊋≦⊧⋰*⋻1272=⋰*⋻-2336","layer":3},{"info":"⇘⋰*⋻-2336=⋰*⋻-1541A464A","layer":2},{"info":"⋰*⋻1472A⪃⊛⇣⋰*⋻-1541A464A=⋰*⋻A22","layer":1},{"info":"⋰*⋻0⫦⪉⋰*⋻A22=⋰*⋻3755","layer":0}]}
{"id":736,"expression_no_base_symbol":"⪛⨧(↣≠⋷$9313$⩼⇪↪$3297$)⫗⊷⫓(($1368$⇣⩺⋵$1360$)≨(⪹$1876$))","expression":"⪛⨧(↣≠⋷⋰*⋻6AA7⩼⇪↪⋰*⋻2528)⫗⊷⫓((⋰*⋻1034⇣⩺⋵⋰*⋻1027)≨(⪹⋰*⋻1456))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":89903,"operation_count":7,"complexity_ratio":12843.285714285714,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":9313,"base":11},"right_expr":{"type":"numeric_atoms","value":3297,"base":11}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1368,"base":11},"right_expr":{"type":"numeric_atoms","value":1360,"base":11}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1876,"base":11}}}}},"used_operators":["6NJAcO2OWT","zashukvMKz","Asc51vEJeQ","ocnLzx9CaJ","0KMCeP1Jsh","F4yD0voBRQ","USyYr0JgAa"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","tifHPKVTfV"],"result":"⋰*⋻940","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9313","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=9313, right_input=3297, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5236","layer":3},{"info":"compute unary expreesion, input=-5236, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1368","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=1360, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1876","layer":4},{"info":"compute unary expreesion, input=1876, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1696","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-1696, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1176","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1176, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1133","layer":0}],"base":11,"result_base":11,"text":"⪛⨧(↣≠⋷⋰*⋻6AA7⩼⇪↪⋰*⋻2528)⫗⊷⫓((⋰*⋻1034⇣⩺⋵⋰*⋻1027)≨(⪹⋰*⋻1456))=⋰*⋻940","reverse_text":"⋰*⋻940=⪛⨧(↣≠⋷⋰*⋻6AA7⩼⇪↪⋰*⋻2528)⫗⊷⫓((⋰*⋻1034⇣⩺⋵⋰*⋻1027)≨(⪹⋰*⋻1456))","cot":[{"info":"⋰*⋻6AA7⩼⇪↪⋰*⋻2528=⋰*⋻-3A30","layer":3},{"info":"↣≠⋷⋰*⋻-3A30=NaN","layer":2},{"info":"⋰*⋻1034⇣⩺⋵⋰*⋻1027=⋰*⋻-217","layer":3},{"info":"⪹⋰*⋻1456=⋰*⋻-1302","layer":3},{"info":"⋰*⋻-217≨⋰*⋻-1302=⋰*⋻97A","layer":2},{"info":"NaN⫗⊷⫓⋰*⋻97A=⋰*⋻-112","layer":1},{"info":"⪛⨧⋰*⋻-112=⋰*⋻940","layer":0}]}
{"id":737,"expression_no_base_symbol":"((⇙⪊$1886$≦↸$5088$)⋥≓≎($3005$⨫⇇↔$8229$)∌(⨵$6505$))⋓((≦∁(≸$5824$))∙∹∝(⊵⊁($1249$∳⫺$7173$)))","expression":"((⇙⪊⋰*⋻1465≦↸⋰*⋻3906)⋥≓≎(⋰*⋻2292⨫⇇↔⋰*⋻6201)∌(⨵⋰*⋻4984))⋓((≦∁(≸⋰*⋻4415))∙∹∝(⊵⊁(⋰*⋻A36∳⫺⋰*⋻5431)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":242,"operation_count":12,"complexity_ratio":20.166666666666668,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1886,"base":11},"right_expr":{"type":"numeric_atoms","value":5088,"base":11}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3005,"base":11},"right_expr":{"type":"numeric_atoms","value":8229,"base":11}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":6505,"base":11}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":5824,"base":11}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1249,"base":11},"right_expr":{"type":"numeric_atoms","value":7173,"base":11}}}}},"used_operators":["T2fj7uvVaJ","Qy55tPpLXF","pB6Fcnrjim","RygbFNSyEJ","8cLx32lpNA","LXhwmt4mBO","Tl3Y52tvF8","HmxsFra2vL","9ICcGScMcE","eOf03JbCpp","AvED76WdY7","AzXXKTstlj"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","uBihLCJcMX","k8jYdgA6NY","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"number node, value=5088","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=5088, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13267","layer":3},{"info":"compute unary expreesion, input=-13267, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=3005","layer":4},{"info":"number node, value=8229","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=8229, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=6505","layer":4},{"info":"compute unary expreesion, input=6505, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-53249","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-53249, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1021","layer":1},{"info":"number node, value=5824","layer":4},{"info":"compute unary expreesion, input=5824, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1016","layer":2},{"info":"number node, value=1249","layer":4},{"info":"number node, value=7173","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=7173, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-9288","layer":3},{"info":"compute unary expreesion, input=-9288, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1016, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1021, 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":11,"result_base":11,"text":"((⇙⪊⋰*⋻1465≦↸⋰*⋻3906)⋥≓≎(⋰*⋻2292⨫⇇↔⋰*⋻6201)∌(⨵⋰*⋻4984))⋓((≦∁(≸⋰*⋻4415))∙∹∝(⊵⊁(⋰*⋻A36∳⫺⋰*⋻5431)))=⋰*⋻0","reverse_text":"⋰*⋻0=((⇙⪊⋰*⋻1465≦↸⋰*⋻3906)⋥≓≎(⋰*⋻2292⨫⇇↔⋰*⋻6201)∌(⨵⋰*⋻4984))⋓((≦∁(≸⋰*⋻4415))∙∹∝(⊵⊁(⋰*⋻A36∳⫺⋰*⋻5431)))","cot":[{"info":"⋰*⋻1465≦↸⋰*⋻3906=⋰*⋻-9A71","layer":3},{"info":"⇙⪊⋰*⋻-9A71=⋰*⋻0","layer":2},{"info":"⋰*⋻2292⨫⇇↔⋰*⋻6201=⋰*⋻-43A","layer":3},{"info":"⨵⋰*⋻4984=⋰*⋻-37009","layer":3},{"info":"⋰*⋻-43A∌⋰*⋻-37009=⋰*⋻-43A","layer":2},{"info":"⋰*⋻0⋥≓≎⋰*⋻-43A=⋰*⋻-849","layer":1},{"info":"≸⋰*⋻4415=⋰*⋻53","layer":3},{"info":"≦∁⋰*⋻53=⋰*⋻-844","layer":2},{"info":"⋰*⋻A36∳⫺⋰*⋻5431=⋰*⋻-6A84","layer":3},{"info":"⊵⊁⋰*⋻-6A84=⋰*⋻0","layer":2},{"info":"⋰*⋻-844∙∹∝⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻-849⋓⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":738,"expression_no_base_symbol":"((($1405$⇚⪠)≚⋢)∊∟⩊((∤$4658$)⨓$3529$↳∿⪆$1918$))⫑%∭","expression":"(((⋰*⋻1068⇚⪠)≚⋢)∊∟⩊((∤⋰*⋻3555)⨓⋰*⋻2719↳∿⪆⋰*⋻1494))⫑%∭","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4386,"operation_count":7,"complexity_ratio":626.5714285714286,"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":1405,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":4658,"base":11}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3529,"base":11},"right_expr":{"type":"numeric_atoms","value":1918,"base":11}}}}},"used_operators":["xUx7qlDO4z","ddLRYrp01A","MahUMFw56D","Loh9y4A90B","3ViojmjbAp","k2HlF1dBQh","Cw4SuJJGHO"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","3ViojmjbAp","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=3948050","layer":3},{"info":"compute unary expreesion, input=3948050, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=4658","layer":4},{"info":"compute unary expreesion, input=4658, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=3529","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=1918, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9, 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=-89, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=13","layer":1},{"info":"compute unary expreesion, input=13, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1068⇚⪠)≚⋢)∊∟⩊((∤⋰*⋻3555)⨓⋰*⋻2719↳∿⪆⋰*⋻1494))⫑%∭=NaN","reverse_text":"NaN=(((⋰*⋻1068⇚⪠)≚⋢)∊∟⩊((∤⋰*⋻3555)⨓⋰*⋻2719↳∿⪆⋰*⋻1494))⫑%∭","cot":[{"info":"⋰*⋻1068⇚⪠=⋰*⋻2257257","layer":3},{"info":"⋰*⋻2257257≚⋢=⋰*⋻-81","layer":2},{"info":"∤⋰*⋻3555=⋰*⋻9","layer":3},{"info":"⋰*⋻2719↳∿⪆⋰*⋻1494=NaN","layer":3},{"info":"⋰*⋻9⨓NaN=NaN","layer":2},{"info":"⋰*⋻-81∊∟⩊NaN=⋰*⋻12","layer":1},{"info":"⋰*⋻12⫑%∭=NaN","layer":0}]}
{"id":739,"expression_no_base_symbol":"($3236$⇄$2236$⇮⋭$4733$⪭$5851$)≝⊿(⇁⨣⪵($1152$⪨≂$1849$))≓∲(⨮↦↱$2981$)⩧⪆(∂⩏⊆$2557$)⋳⪒($2367$⫚⫇)⨫⇇↔(⫛⫱⨽$2152$)","expression":"(⋰*⋻2482⇄⋰*⋻1753⇮⋭⋰*⋻3613⪭⋰*⋻443A)≝⊿(⇁⨣⪵(⋰*⋻958⪨≂⋰*⋻1431))≓∲(⨮↦↱⋰*⋻2270)⩧⪆(∂⩏⊆⋰*⋻1A15)⋳⪒(⋰*⋻1862⫚⫇)⨫⇇↔(⫛⫱⨽⋰*⋻1687)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4137,"operation_count":14,"complexity_ratio":295.5,"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":3236,"base":11},"right_expr":{"type":"numeric_atoms","value":2236,"base":11}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":4733,"base":11},"right_expr":{"type":"numeric_atoms","value":5851,"base":11}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1152,"base":11},"right_expr":{"type":"numeric_atoms","value":1849,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2981,"base":11}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2557,"base":11}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":2367,"base":11}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2152,"base":11}}}}},"used_operators":["s1XTVnmDOJ","OKKcZfAt5B","vkpjKywKVM","3EYGwJThht","j9kHMeSvPp","inkyxCbjAn","sdazOOVcIp","12rbrZMWeM","Ikt5ks8PT7","sYcpBQ0cFf","8WDwsbhb0R","LXhwmt4mBO","SdCjLnB6rR","DlLNRPXxWL"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","12rbrZMWeM","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","14qkJME0vr","eLAdDNolq6","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3236","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=2236, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=4733","layer":4},{"info":"number node, value=5851","layer":4},{"info":"compute binary expreesion, left_input=4733, right_input=5851, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=3885","layer":2},{"info":"number node, value=1152","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=1849, 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=-1292","layer":3},{"info":"compute unary expreesion, input=-1292, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3885, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"number node, value=2981","layer":4},{"info":"compute unary expreesion, input=2981, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-18580299","layer":3},{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-7750","layer":3},{"info":"compute binary expreesion, left_input=-18580299, right_input=-7750, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=7750","layer":2},{"info":"number node, value=2367","layer":4},{"info":"compute unary expreesion, input=2367, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=3266","layer":3},{"info":"number node, value=2152","layer":4},{"info":"compute unary expreesion, input=2152, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3266, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=7750, right_input=-527, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15740","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15740, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2482⇄⋰*⋻1753⇮⋭⋰*⋻3613⪭⋰*⋻443A)≝⊿(⇁⨣⪵(⋰*⋻958⪨≂⋰*⋻1431))≓∲(⨮↦↱⋰*⋻2270)⩧⪆(∂⩏⊆⋰*⋻1A15)⋳⪒(⋰*⋻1862⫚⫇)⨫⇇↔(⫛⫱⨽⋰*⋻1687)=NaN","reverse_text":"NaN=(⋰*⋻2482⇄⋰*⋻1753⇮⋭⋰*⋻3613⪭⋰*⋻443A)≝⊿(⇁⨣⪵(⋰*⋻958⪨≂⋰*⋻1431))≓∲(⨮↦↱⋰*⋻2270)⩧⪆(∂⩏⊆⋰*⋻1A15)⋳⪒(⋰*⋻1862⫚⫇)⨫⇇↔(⫛⫱⨽⋰*⋻1687)","cot":[{"info":"⋰*⋻2482⇄⋰*⋻1753=⋰*⋻0","layer":3},{"info":"⋰*⋻3613⪭⋰*⋻443A=⋰*⋻5","layer":3},{"info":"⋰*⋻0⇮⋭⋰*⋻5=⋰*⋻2A12","layer":2},{"info":"⋰*⋻958⪨≂⋰*⋻1431=⋰*⋻-A75","layer":3},{"info":"⇁⨣⪵⋰*⋻-A75=NaN","layer":2},{"info":"⋰*⋻2A12≝⊿NaN=NaN","layer":1},{"info":"⨮↦↱⋰*⋻2270=⋰*⋻-A540721","layer":3},{"info":"∂⩏⊆⋰*⋻1A15=⋰*⋻-5906","layer":3},{"info":"⋰*⋻-A540721⩧⪆⋰*⋻-5906=⋰*⋻5906","layer":2},{"info":"⋰*⋻1862⫚⫇=⋰*⋻24AA","layer":3},{"info":"⫛⫱⨽⋰*⋻1687=⋰*⋻0","layer":3},{"info":"⋰*⋻24AA⨫⇇↔⋰*⋻0=⋰*⋻-43A","layer":2},{"info":"⋰*⋻5906⋳⪒⋰*⋻-43A=⋰*⋻1090A","layer":1},{"info":"NaN≓∲⋰*⋻1090A=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"(($2922$/$1514$)↓$1060$∴$5340$⊎←↗)∘(($1984$⇣⩺⋵$2871$)↳≱($3338$↳∿⪆$5052$)⩒⫫($4019$*$7024$⩨$5224$⇴∐$2331$))","expression":"((⋰*⋻2217/⋰*⋻1157)↓⋰*⋻884∴⋰*⋻4015⊎←↗)∘((⋰*⋻1544⇣⩺⋵⋰*⋻2180)↳≱(⋰*⋻2565↳∿⪆⋰*⋻3883)⩒⫫(⋰*⋻3024*⋰*⋻5306⩨⋰*⋻3A1A⇴∐⋰*⋻182A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":59736,"operation_count":12,"complexity_ratio":4978.0,"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":2922,"base":11},"right_expr":{"type":"numeric_atoms","value":1514,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1060,"base":11},"right_expr":{"type":"numeric_atoms","value":5340,"base":11}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1984,"base":11},"right_expr":{"type":"numeric_atoms","value":2871,"base":11}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3338,"base":11},"right_expr":{"type":"numeric_atoms","value":5052,"base":11}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4019,"base":11},"right_expr":{"type":"numeric_atoms","value":7024,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5224,"base":11},"right_expr":{"type":"numeric_atoms","value":2331,"base":11}}}}},"used_operators":["Z5m6OM72h2","dwb5p0fa6d","Af076pWI7l","XhwjNDsVaA","hrf7POJlIJ","KFSx94NKJn","JwTKLfZU96","F4yD0voBRQ","Cw4SuJJGHO","2DlMacCsIx","9HNa5Wba9A","HnzytWxmAO"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","sdazOOVcIp","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⋰*⋻1483","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2922","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=1514, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=5340, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3768","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=3768, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=953","layer":1},{"info":"number node, value=1984","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=1984, right_input=2871, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=3338","layer":4},{"info":"number node, value=5052","layer":4},{"info":"compute binary expreesion, left_input=3338, right_input=5052, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=4019","layer":4},{"info":"number node, value=7024","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=7024, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=28229456","layer":3},{"info":"number node, value=5224","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=5224, right_input=2331, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=28229456, 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 = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=953, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=1906","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2217/⋰*⋻1157)↓⋰*⋻884∴⋰*⋻4015⊎←↗)∘((⋰*⋻1544⇣⩺⋵⋰*⋻2180)↳≱(⋰*⋻2565↳∿⪆⋰*⋻3883)⩒⫫(⋰*⋻3024*⋰*⋻5306⩨⋰*⋻3A1A⇴∐⋰*⋻182A))=⋰*⋻1483","reverse_text":"⋰*⋻1483=((⋰*⋻2217/⋰*⋻1157)↓⋰*⋻884∴⋰*⋻4015⊎←↗)∘((⋰*⋻1544⇣⩺⋵⋰*⋻2180)↳≱(⋰*⋻2565↳∿⪆⋰*⋻3883)⩒⫫(⋰*⋻3024*⋰*⋻5306⩨⋰*⋻3A1A⇴∐⋰*⋻182A))","cot":[{"info":"⋰*⋻2217/⋰*⋻1157=⋰*⋻1","layer":3},{"info":"⋰*⋻884∴⋰*⋻4015=⋰*⋻2916","layer":3},{"info":"⋰*⋻1↓⋰*⋻2916=⋰*⋻-112","layer":2},{"info":"⋰*⋻-112⊎←↗=⋰*⋻797","layer":1},{"info":"⋰*⋻1544⇣⩺⋵⋰*⋻2180=⋰*⋻-217","layer":3},{"info":"⋰*⋻2565↳∿⪆⋰*⋻3883=NaN","layer":3},{"info":"⋰*⋻-217↳≱NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻3024*⋰*⋻5306=⋰*⋻14A31232","layer":3},{"info":"⋰*⋻3A1A⇴∐⋰*⋻182A=NaN","layer":3},{"info":"⋰*⋻14A31232⩨NaN=NaN","layer":2},{"info":"⋰*⋻0⩒⫫NaN=NaN","layer":1},{"info":"⋰*⋻797∘NaN=⋰*⋻1483","layer":0}]}
{"id":741,"expression_no_base_symbol":"(⪲⇎(⊈($2712$⪕$4176$)))⫳≱↱(⇖⫷⫕$2583$⋹⋡⊁$1903$)⩌⋺(($2587$⪒$3551$)⇷($1560$⨽$3703$))","expression":"(⪲⇎(⊈(⋰*⋻2046⪕⋰*⋻3157)))⫳≱↱(⇖⫷⫕⋰*⋻1A39⋹⋡⊁⋰*⋻1480)⩌⋺((⋰*⋻1A42⪒⋰*⋻2739)⇷(⋰*⋻1199⨽⋰*⋻2867))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":150877,"operation_count":10,"complexity_ratio":15087.7,"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":2712,"base":11},"right_expr":{"type":"numeric_atoms","value":4176,"base":11}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2583,"base":11},"right_expr":{"type":"numeric_atoms","value":1903,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2587,"base":11},"right_expr":{"type":"numeric_atoms","value":3551,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1560,"base":11},"right_expr":{"type":"numeric_atoms","value":3703,"base":11}}}}},"used_operators":["ZvLB05nZmT","XPYlsWDdGa","RHru8klgy8","umQnsF7QlU","g7Hmc5v1ko","UHmRx3INFg","As8RqfVLgs","mp7IySMOzn","f6k1SAg4EE","8HhzD0ZcuI"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","xUOZtlo3hN","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⋰*⋻-2118","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2712","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=4176, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2149","layer":3},{"info":"compute unary expreesion, input=2149, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2323","layer":2},{"info":"compute unary expreesion, input=-2323, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-4646","layer":1},{"info":"number node, value=2583","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=1903, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2653","layer":3},{"info":"compute unary expreesion, input=2653, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=2587","layer":4},{"info":"number node, value=3551","layer":4},{"info":"compute binary expreesion, left_input=2587, right_input=3551, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6138","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=3703","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=3703, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7310595","layer":3},{"info":"compute binary expreesion, left_input=-6138, right_input=-7310595, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4646, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":0}],"base":11,"result_base":11,"text":"(⪲⇎(⊈(⋰*⋻2046⪕⋰*⋻3157)))⫳≱↱(⇖⫷⫕⋰*⋻1A39⋹⋡⊁⋰*⋻1480)⩌⋺((⋰*⋻1A42⪒⋰*⋻2739)⇷(⋰*⋻1199⨽⋰*⋻2867))=⋰*⋻-2118","reverse_text":"⋰*⋻-2118=(⪲⇎(⊈(⋰*⋻2046⪕⋰*⋻3157)))⫳≱↱(⇖⫷⫕⋰*⋻1A39⋹⋡⊁⋰*⋻1480)⩌⋺((⋰*⋻1A42⪒⋰*⋻2739)⇷(⋰*⋻1199⨽⋰*⋻2867))","cot":[{"info":"⋰*⋻2046⪕⋰*⋻3157=⋰*⋻1684","layer":3},{"info":"⊈⋰*⋻1684=⋰*⋻-1822","layer":2},{"info":"⪲⇎⋰*⋻-1822=⋰*⋻-3544","layer":1},{"info":"⋰*⋻1A39⋹⋡⊁⋰*⋻1480=⋰*⋻1AA2","layer":3},{"info":"⇖⫷⫕⋰*⋻1AA2=⋰*⋻2136","layer":2},{"info":"⋰*⋻1A42⪒⋰*⋻2739=⋰*⋻-4680","layer":3},{"info":"⋰*⋻1199⨽⋰*⋻2867=⋰*⋻-4143616","layer":3},{"info":"⋰*⋻-4680⇷⋰*⋻-4143616=NaN","layer":2},{"info":"⋰*⋻2136⩌⋺NaN=NaN","layer":1},{"info":"⋰*⋻-3544⫳≱↱NaN=⋰*⋻-2118","layer":0}]}
{"id":742,"expression_no_base_symbol":"↔(⫓⪴$1466$⨚⇆$2136$)⪟⇏(⊙↵-$1122$↹⊜$2209$)","expression":"↔(⫓⪴⋰*⋻1113⨚⇆⋰*⋻1672)⪟⇏(⊙↵-⋰*⋻930↹⊜⋰*⋻1729)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":17087,"operation_count":6,"complexity_ratio":2847.8333333333335,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1466,"base":11},"right_expr":{"type":"numeric_atoms","value":2136,"base":11}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1122,"base":11},"right_expr":{"type":"numeric_atoms","value":2209,"base":11}}}}},"used_operators":["ruOEQAzv1W","GODebY97qR","eLxqMNBOBk","lwHaAYXP2r","oWn0xqSxBt","9bazX3JMtO"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9HNa5Wba9A","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⋰*⋻658","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":4},{"info":"number node, value=2136","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=2136, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1122","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2209, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6688","layer":3},{"info":"compute unary expreesion, input=-6688, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":0}],"base":11,"result_base":11,"text":"↔(⫓⪴⋰*⋻1113⨚⇆⋰*⋻1672)⪟⇏(⊙↵-⋰*⋻930↹⊜⋰*⋻1729)=⋰*⋻658","reverse_text":"⋰*⋻658=↔(⫓⪴⋰*⋻1113⨚⇆⋰*⋻1672)⪟⇏(⊙↵-⋰*⋻930↹⊜⋰*⋻1729)","cot":[{"info":"⋰*⋻1113⨚⇆⋰*⋻1672=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋰*⋻930↹⊜⋰*⋻1729=⋰*⋻-5030","layer":3},{"info":"⊙↵-⋰*⋻-5030=⋰*⋻169","layer":2},{"info":"NaN⪟⇏⋰*⋻169=⋰*⋻0","layer":1},{"info":"↔⋰*⋻0=⋰*⋻658","layer":0}]}
{"id":743,"expression_no_base_symbol":"(($1768$≠≀$1582$)⨲∙)⪔((↯⪼$1947$)⨰$5880$≀⫉$2075$)⨽(⩦⊞$3439$)⋣⋖($3846$⩱)∀⇚≩(≉($2813$⩤))","expression":"((⋰*⋻1368≠≀⋰*⋻1209)⨲∙)⪔((↯⪼⋰*⋻1510)⨰⋰*⋻4466≀⫉⋰*⋻1617)⨽(⩦⊞⋰*⋻2647)⋣⋖(⋰*⋻2987⩱)∀⇚≩(≉(⋰*⋻2128⩤))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":55518,"operation_count":13,"complexity_ratio":4270.615384615385,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1768,"base":11},"right_expr":{"type":"numeric_atoms","value":1582,"base":11}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1947,"base":11}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5880,"base":11},"right_expr":{"type":"numeric_atoms","value":2075,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3439,"base":11}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":3846,"base":11}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2813,"base":11}}}}},"used_operators":["8HhzD0ZcuI","GjBEYRfMaF","cRahaglYVE","IwW236VD4Y","eewbuw0ToL","8jW3W4yZS5","oZj3VtZNQx","LRNGc0VcxI","J0M6qkBnIM","u7fv1HBiaC","uyq1hVkAcj","e1ybzncUwg","Z2TMIBDE3Q"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","X99M06cbEe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1768","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=1582, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3230","layer":3},{"info":"compute unary expreesion, input=-3230, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"number node, value=1947","layer":4},{"info":"compute unary expreesion, input=1947, 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=5880","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=5880, right_input=2075, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=2822, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2833","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2833, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=3439","layer":4},{"info":"compute unary expreesion, input=3439, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3166","layer":3},{"info":"number node, value=3846","layer":4},{"info":"compute unary expreesion, input=3846, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-23326","layer":3},{"info":"compute binary expreesion, left_input=-3166, right_input=-23326, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"number node, value=2813","layer":4},{"info":"compute unary expreesion, input=2813, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2813","layer":3},{"info":"compute unary expreesion, input=-2813, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-2813","layer":2},{"info":"compute binary expreesion, left_input=-527, 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":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":11,"result_base":11,"text":"((⋰*⋻1368≠≀⋰*⋻1209)⨲∙)⪔((↯⪼⋰*⋻1510)⨰⋰*⋻4466≀⫉⋰*⋻1617)⨽(⩦⊞⋰*⋻2647)⋣⋖(⋰*⋻2987⩱)∀⇚≩(≉(⋰*⋻2128⩤))=NaN","reverse_text":"NaN=((⋰*⋻1368≠≀⋰*⋻1209)⨲∙)⪔((↯⪼⋰*⋻1510)⨰⋰*⋻4466≀⫉⋰*⋻1617)⨽(⩦⊞⋰*⋻2647)⋣⋖(⋰*⋻2987⩱)∀⇚≩(≉(⋰*⋻2128⩤))","cot":[{"info":"⋰*⋻1368≠≀⋰*⋻1209=⋰*⋻-2477","layer":3},{"info":"⋰*⋻-2477⨲∙=NaN","layer":2},{"info":"↯⪼⋰*⋻1510=⋰*⋻-1A","layer":3},{"info":"⋰*⋻4466≀⫉⋰*⋻1617=⋰*⋻2136","layer":3},{"info":"⋰*⋻-1A⨰⋰*⋻2136=⋰*⋻-2146","layer":2},{"info":"NaN⪔⋰*⋻-2146=NaN","layer":1},{"info":"⩦⊞⋰*⋻2647=⋰*⋻-2419","layer":3},{"info":"⋰*⋻2987⩱=⋰*⋻-16586","layer":3},{"info":"⋰*⋻-2419⋣⋖⋰*⋻-16586=⋰*⋻-43A","layer":2},{"info":"⋰*⋻2128⩤=⋰*⋻-2128","layer":3},{"info":"≉⋰*⋻-2128=⋰*⋻-2128","layer":2},{"info":"⋰*⋻-43A∀⇚≩⋰*⋻-2128=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":744,"expression_no_base_symbol":"(((⨙⪌$1281$)⋛($5768$↼⊘⨖$4978$))⨔⇊($3017$∓⋝$1130$∛($5021$⊹≧⊝)))≁((($3183$∖$5139$)⪄$6829$⨫⇇↔$2073$)↙($1198$↳∿⪆$1611$∙⊟$1006$∙⊟$1342$))","expression":"(((⨙⪌⋰*⋻A65)⋛(⋰*⋻4374↼⊘⨖⋰*⋻3816))⨔⇊(⋰*⋻22A3∓⋝⋰*⋻938∛(⋰*⋻3855⊹≧⊝)))≁(((⋰*⋻2434∖⋰*⋻3952)⪄⋰*⋻5149⨫⇇↔⋰*⋻1615)↙(⋰*⋻99A↳∿⪆⋰*⋻1235∙⊟⋰*⋻835∙⊟⋰*⋻1010))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5499,"operation_count":15,"complexity_ratio":366.6,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1281,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5768,"base":11},"right_expr":{"type":"numeric_atoms","value":4978,"base":11}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3017,"base":11},"right_expr":{"type":"numeric_atoms","value":1130,"base":11}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":5021,"base":11}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3183,"base":11},"right_expr":{"type":"numeric_atoms","value":5139,"base":11}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6829,"base":11},"right_expr":{"type":"numeric_atoms","value":2073,"base":11}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1198,"base":11},"right_expr":{"type":"numeric_atoms","value":1611,"base":11}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1006,"base":11},"right_expr":{"type":"numeric_atoms","value":1342,"base":11}}}}},"used_operators":["8N2wDY1A35","JclMnS0uGI","YbUVn0Rbpy","vEGLkm4Z2k","bPywburJMS","w2537kitQq","PoHhknlbAi","LxFB4K6j0n","yyfyN0ffXY","SUmda5xLS4","tXD093vOjl","LXhwmt4mBO","SxTAKzQCrw","Cw4SuJJGHO"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=5768","layer":4},{"info":"number node, value=4978","layer":4},{"info":"compute binary expreesion, left_input=5768, right_input=4978, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9734","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=9734, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-124380","layer":2},{"info":"number node, value=3017","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=3017, right_input=1130, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=5021","layer":4},{"info":"compute unary expreesion, input=5021, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-20084","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-20084, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-124380, right_input=67, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"number node, value=3183","layer":4},{"info":"number node, value=5139","layer":4},{"info":"compute binary expreesion, left_input=3183, right_input=5139, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=6829","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=6829, right_input=2073, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=6019","layer":2},{"info":"number node, value=1198","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=1611, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1342, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22924","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22924, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6019, 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=67, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⨙⪌⋰*⋻A65)⋛(⋰*⋻4374↼⊘⨖⋰*⋻3816))⨔⇊(⋰*⋻22A3∓⋝⋰*⋻938∛(⋰*⋻3855⊹≧⊝)))≁(((⋰*⋻2434∖⋰*⋻3952)⪄⋰*⋻5149⨫⇇↔⋰*⋻1615)↙(⋰*⋻99A↳∿⪆⋰*⋻1235∙⊟⋰*⋻835∙⊟⋰*⋻1010))=NaN","reverse_text":"NaN=(((⨙⪌⋰*⋻A65)⋛(⋰*⋻4374↼⊘⨖⋰*⋻3816))⨔⇊(⋰*⋻22A3∓⋝⋰*⋻938∛(⋰*⋻3855⊹≧⊝)))≁(((⋰*⋻2434∖⋰*⋻3952)⪄⋰*⋻5149⨫⇇↔⋰*⋻1615)↙(⋰*⋻99A↳∿⪆⋰*⋻1235∙⊟⋰*⋻835∙⊟⋰*⋻1010))","cot":[{"info":"⨙⪌⋰*⋻A65=⋰*⋻71A","layer":3},{"info":"⋰*⋻4374↼⊘⨖⋰*⋻3816=⋰*⋻734A","layer":3},{"info":"⋰*⋻71A⋛⋰*⋻734A=⋰*⋻-854A3","layer":2},{"info":"⋰*⋻22A3∓⋝⋰*⋻938=⋰*⋻61","layer":3},{"info":"⋰*⋻3855⊹≧⊝=⋰*⋻-140A9","layer":3},{"info":"⋰*⋻61∛⋰*⋻-140A9=⋰*⋻61","layer":2},{"info":"⋰*⋻-854A3⨔⇊⋰*⋻61=⋰*⋻61","layer":1},{"info":"⋰*⋻2434∖⋰*⋻3952=⋰*⋻0","layer":3},{"info":"⋰*⋻5149⨫⇇↔⋰*⋻1615=⋰*⋻-43A","layer":3},{"info":"⋰*⋻0⪄⋰*⋻-43A=⋰*⋻4582","layer":2},{"info":"⋰*⋻99A↳∿⪆⋰*⋻1235=NaN","layer":3},{"info":"⋰*⋻835∙⊟⋰*⋻1010=⋰*⋻16250","layer":3},{"info":"NaN∙⊟⋰*⋻16250=NaN","layer":2},{"info":"⋰*⋻4582↙NaN=NaN","layer":1},{"info":"⋰*⋻61≁NaN=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"((∥⊫($1278$⨸⪁$3488$))↢(($1071$⫔⩽⩺$3532$)⇣⩺⋵(≛$1042$)))⋹⋡⊁((($1002$⨐⩸⫘$1266$)⊋≦⊧($2555$⨳⩥⨓$7855$))⫁⪎($1705$⩵∡$1194$⊍⩺⋍(∥⊫$1241$)))","expression":"((∥⊫(⋰*⋻A62⨸⪁⋰*⋻2691))↢((⋰*⋻894⫔⩽⩺⋰*⋻2721)⇣⩺⋵(≛⋰*⋻868)))⋹⋡⊁(((⋰*⋻831⨐⩸⫘⋰*⋻A51)⊋≦⊧(⋰*⋻1A13⨳⩥⨓⋰*⋻59A1))⫁⪎(⋰*⋻1310⩵∡⋰*⋻996⊍⩺⋍(∥⊫⋰*⋻A29)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":400,"operation_count":14,"complexity_ratio":28.571428571428573,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1278,"base":11},"right_expr":{"type":"numeric_atoms","value":3488,"base":11}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":3532,"base":11}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1042,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1002,"base":11},"right_expr":{"type":"numeric_atoms","value":1266,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2555,"base":11},"right_expr":{"type":"numeric_atoms","value":7855,"base":11}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1705,"base":11},"right_expr":{"type":"numeric_atoms","value":1194,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1241,"base":11}}}}},"used_operators":["As8RqfVLgs","WR6HLWljOP","P8v4zCKN1o","g55IO6H4Gj","F4yD0voBRQ","i9eR4S00cU","W7eaUhjymW","xRrnTEsQ6j","oRDoc9rAEX","fu6greOZ01","nCS4ZIUYfx","OXDGMFPWZM","Y7wcNGrDQJ"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⋰*⋻54449","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=3488, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9532","layer":3},{"info":"compute unary expreesion, input=9532, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=10400","layer":2},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3532","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3532, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=10400, right_input=-260, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=9916","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1266, 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=2555","layer":4},{"info":"number node, value=7855","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=7855, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5300","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5300, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=1705","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1194, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2337","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2109","layer":3},{"info":"compute binary expreesion, left_input=-2337, right_input=2109, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9916, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=79066","layer":0}],"base":11,"result_base":11,"text":"((∥⊫(⋰*⋻A62⨸⪁⋰*⋻2691))↢((⋰*⋻894⫔⩽⩺⋰*⋻2721)⇣⩺⋵(≛⋰*⋻868)))⋹⋡⊁(((⋰*⋻831⨐⩸⫘⋰*⋻A51)⊋≦⊧(⋰*⋻1A13⨳⩥⨓⋰*⋻59A1))⫁⪎(⋰*⋻1310⩵∡⋰*⋻996⊍⩺⋍(∥⊫⋰*⋻A29)))=⋰*⋻54449","reverse_text":"⋰*⋻54449=((∥⊫(⋰*⋻A62⨸⪁⋰*⋻2691))↢((⋰*⋻894⫔⩽⩺⋰*⋻2721)⇣⩺⋵(≛⋰*⋻868)))⋹⋡⊁(((⋰*⋻831⨐⩸⫘⋰*⋻A51)⊋≦⊧(⋰*⋻1A13⨳⩥⨓⋰*⋻59A1))⫁⪎(⋰*⋻1310⩵∡⋰*⋻996⊍⩺⋍(∥⊫⋰*⋻A29)))","cot":[{"info":"⋰*⋻A62⨸⪁⋰*⋻2691=⋰*⋻7186","layer":3},{"info":"∥⊫⋰*⋻7186=⋰*⋻78A5","layer":2},{"info":"⋰*⋻894⫔⩽⩺⋰*⋻2721=NaN","layer":3},{"info":"≛⋰*⋻868=⋰*⋻-A","layer":3},{"info":"NaN⇣⩺⋵⋰*⋻-A=⋰*⋻-217","layer":2},{"info":"⋰*⋻78A5↢⋰*⋻-217=⋰*⋻74A5","layer":1},{"info":"⋰*⋻831⨐⩸⫘⋰*⋻A51=NaN","layer":3},{"info":"⋰*⋻1A13⨳⩥⨓⋰*⋻59A1=⋰*⋻3A89","layer":3},{"info":"NaN⊋≦⊧⋰*⋻3A89=NaN","layer":2},{"info":"⋰*⋻1310⩵∡⋰*⋻996=⋰*⋻-1835","layer":3},{"info":"∥⊫⋰*⋻A29=⋰*⋻1648","layer":3},{"info":"⋰*⋻-1835⊍⩺⋍⋰*⋻1648=NaN","layer":2},{"info":"NaN⫁⪎NaN=NaN","layer":1},{"info":"⋰*⋻74A5⋹⋡⊁NaN=⋰*⋻54449","layer":0}]}
{"id":746,"expression_no_base_symbol":"(($1008$⪨≂$5172$)⇍⊗($3136$⪉⨛$1135$)+⇶⊼((⫵↿$8946$)⪨⊡$5448$⪝$1659$))⫁((($1689$⊭↱$1868$)⨒$2541$≚⊃≕$1240$)∠↢$2198$⫘$6320$⪛⫼(⋠∜$1062$))","expression":"((⋰*⋻837⪨≂⋰*⋻3982)⇍⊗(⋰*⋻23A1⪉⨛⋰*⋻942)+⇶⊼((⫵↿⋰*⋻67A3)⪨⊡⋰*⋻4103⪝⋰*⋻1279))⫁(((⋰*⋻12A6⊭↱⋰*⋻1449)⨒⋰*⋻1A00≚⊃≕⋰*⋻A28)∠↢⋰*⋻1719⫘⋰*⋻4826⪛⫼(⋠∜⋰*⋻886))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":91361,"operation_count":15,"complexity_ratio":6090.733333333334,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1008,"base":11},"right_expr":{"type":"numeric_atoms","value":5172,"base":11}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3136,"base":11},"right_expr":{"type":"numeric_atoms","value":1135,"base":11}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":8946,"base":11}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5448,"base":11},"right_expr":{"type":"numeric_atoms","value":1659,"base":11}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1689,"base":11},"right_expr":{"type":"numeric_atoms","value":1868,"base":11}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2541,"base":11},"right_expr":{"type":"numeric_atoms","value":1240,"base":11}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2198,"base":11},"right_expr":{"type":"numeric_atoms","value":6320,"base":11}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1062,"base":11}}}}},"used_operators":["0ajvFaJAv0","TpPTUOHfaN","5uvYHDjeKN","sdazOOVcIp","EWw2JM7wp4","kuIXHzHcAH","ivGwdmUAux","wicAB68Tmb","KbjG8mgYpV","y75s1iXyHd","COABgblf1C","Bmrmz2XGnR","hyuBjUqXlG","48vC8HMD2b","ZJpFhNJr3x"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","AHs5Up7iyr","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"number node, value=5172","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=5172, 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=-8226","layer":3},{"info":"number node, value=3136","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=3136, right_input=1135, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=8488","layer":3},{"info":"compute binary expreesion, left_input=-8226, right_input=8488, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=8946","layer":4},{"info":"compute unary expreesion, input=8946, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=5448","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=5448, right_input=1659, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-15555","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-15555, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=63009","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=63009, 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=1689","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1868, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=363","layer":3},{"info":"number node, value=2541","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=1240, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=363, right_input=67, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"number node, value=2198","layer":4},{"info":"number node, value=6320","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=6320, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2589253","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=6532","layer":3},{"info":"compute binary expreesion, left_input=2589253, right_input=6532, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-12470","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12470, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻837⪨≂⋰*⋻3982)⇍⊗(⋰*⋻23A1⪉⨛⋰*⋻942)+⇶⊼((⫵↿⋰*⋻67A3)⪨⊡⋰*⋻4103⪝⋰*⋻1279))⫁(((⋰*⋻12A6⊭↱⋰*⋻1449)⨒⋰*⋻1A00≚⊃≕⋰*⋻A28)∠↢⋰*⋻1719⫘⋰*⋻4826⪛⫼(⋠∜⋰*⋻886))=⋰*⋻136","reverse_text":"⋰*⋻136=((⋰*⋻837⪨≂⋰*⋻3982)⇍⊗(⋰*⋻23A1⪉⨛⋰*⋻942)+⇶⊼((⫵↿⋰*⋻67A3)⪨⊡⋰*⋻4103⪝⋰*⋻1279))⫁(((⋰*⋻12A6⊭↱⋰*⋻1449)⨒⋰*⋻1A00≚⊃≕⋰*⋻A28)∠↢⋰*⋻1719⫘⋰*⋻4826⪛⫼(⋠∜⋰*⋻886))","cot":[{"info":"⋰*⋻837⪨≂⋰*⋻3982=⋰*⋻-61A9","layer":3},{"info":"⋰*⋻23A1⪉⨛⋰*⋻942=⋰*⋻6417","layer":3},{"info":"⋰*⋻-61A9⇍⊗⋰*⋻6417=⋰*⋻-202","layer":2},{"info":"⫵↿⋰*⋻67A3=⋰*⋻115","layer":3},{"info":"⋰*⋻4103⪝⋰*⋻1279=⋰*⋻-10761","layer":3},{"info":"⋰*⋻115⪨⊡⋰*⋻-10761=⋰*⋻43381","layer":2},{"info":"⋰*⋻-202+⇶⊼⋰*⋻43381=NaN","layer":1},{"info":"⋰*⋻12A6⊭↱⋰*⋻1449=⋰*⋻300","layer":3},{"info":"⋰*⋻1A00≚⊃≕⋰*⋻A28=⋰*⋻61","layer":3},{"info":"⋰*⋻300⨒⋰*⋻61=⋰*⋻0","layer":2},{"info":"⋰*⋻1719⫘⋰*⋻4826=⋰*⋻1509387","layer":3},{"info":"⋠∜⋰*⋻886=⋰*⋻49A9","layer":3},{"info":"⋰*⋻1509387⪛⫼⋰*⋻49A9=⋰*⋻800","layer":2},{"info":"⋰*⋻0∠↢⋰*⋻800=⋰*⋻-9407","layer":1},{"info":"NaN⫁⋰*⋻-9407=⋰*⋻136","layer":0}]}
{"id":747,"expression_no_base_symbol":"((⨭⩧⫛(↡$2673$))⩇∃⫛($3465$⊭↱$1252$)⨂≜($1776$≒∊$4787$))⫞⩸⩒(($3787$≀⫉$2792$%$6552$⫔⩽⩺$4165$)⫁⪎(($7710$⋩≍≻)≄⊠$1513$⨟⋌⩍$3355$))","expression":"((⨭⩧⫛(↡⋰*⋻2010))⩇∃⫛(⋰*⋻2670⊭↱⋰*⋻A39)⨂≜(⋰*⋻1375≒∊⋰*⋻3662))⫞⩸⩒((⋰*⋻2933≀⫉⋰*⋻2109%⋰*⋻4A17⫔⩽⩺⋰*⋻3147)⫁⪎((⋰*⋻587A⋩≍≻)≄⊠⋰*⋻1156⨟⋌⩍⋰*⋻2580))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5265,"operation_count":14,"complexity_ratio":376.07142857142856,"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":2673,"base":11}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3465,"base":11},"right_expr":{"type":"numeric_atoms","value":1252,"base":11}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1776,"base":11},"right_expr":{"type":"numeric_atoms","value":4787,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3787,"base":11},"right_expr":{"type":"numeric_atoms","value":2792,"base":11}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":6552,"base":11},"right_expr":{"type":"numeric_atoms","value":4165,"base":11}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":7710,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1513,"base":11},"right_expr":{"type":"numeric_atoms","value":3355,"base":11}}}}},"used_operators":["XGcMNugi78","1aApVXNlOP","g21JL6JxX7","MXaNJeIAZ3","k1SHOSEABc","COABgblf1C","5KTvxBwnZo","xRrnTEsQ6j","k8jYdgA6NY","oZj3VtZNQx","i9eR4S00cU","vXNesLlMH1","WYd1w68Nbz","rGHVDoGpnC"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Tw270M8GLb","fu6greOZ01","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2673","layer":4},{"info":"compute unary expreesion, input=2673, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=24057","layer":3},{"info":"compute unary expreesion, input=24057, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=3465","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=3465, right_input=1252, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4421","layer":3},{"info":"number node, value=1776","layer":4},{"info":"number node, value=4787","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=4787, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1292","layer":3},{"info":"compute binary expreesion, left_input=-4421, right_input=-1292, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"number node, value=3787","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=2792, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=6552","layer":4},{"info":"number node, value=4165","layer":4},{"info":"compute binary expreesion, left_input=6552, right_input=4165, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=7710","layer":4},{"info":"compute unary expreesion, input=7710, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=1513","layer":4},{"info":"number node, value=3355","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=3355, 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=-55, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨭⩧⫛(↡⋰*⋻2010))⩇∃⫛(⋰*⋻2670⊭↱⋰*⋻A39)⨂≜(⋰*⋻1375≒∊⋰*⋻3662))⫞⩸⩒((⋰*⋻2933≀⫉⋰*⋻2109%⋰*⋻4A17⫔⩽⩺⋰*⋻3147)⫁⪎((⋰*⋻587A⋩≍≻)≄⊠⋰*⋻1156⨟⋌⩍⋰*⋻2580))=NaN","reverse_text":"NaN=((⨭⩧⫛(↡⋰*⋻2010))⩇∃⫛(⋰*⋻2670⊭↱⋰*⋻A39)⨂≜(⋰*⋻1375≒∊⋰*⋻3662))⫞⩸⩒((⋰*⋻2933≀⫉⋰*⋻2109%⋰*⋻4A17⫔⩽⩺⋰*⋻3147)⫁⪎((⋰*⋻587A⋩≍≻)≄⊠⋰*⋻1156⨟⋌⩍⋰*⋻2580))","cot":[{"info":"↡⋰*⋻2010=⋰*⋻17090","layer":3},{"info":"⨭⩧⫛⋰*⋻17090=NaN","layer":2},{"info":"⋰*⋻2670⊭↱⋰*⋻A39=⋰*⋻-335A","layer":3},{"info":"⋰*⋻1375≒∊⋰*⋻3662=⋰*⋻-A75","layer":3},{"info":"⋰*⋻-335A⨂≜⋰*⋻-A75=NaN","layer":2},{"info":"NaN⩇∃⫛NaN=NaN","layer":1},{"info":"⋰*⋻2933≀⫉⋰*⋻2109=⋰*⋻2136","layer":3},{"info":"⋰*⋻4A17⫔⩽⩺⋰*⋻3147=NaN","layer":3},{"info":"⋰*⋻2136%NaN=NaN","layer":2},{"info":"⋰*⋻587A⋩≍≻=⋰*⋻-50","layer":3},{"info":"⋰*⋻1156⨟⋌⩍⋰*⋻2580=NaN","layer":3},{"info":"⋰*⋻-50≄⊠NaN=⋰*⋻1144","layer":2},{"info":"NaN⫁⪎⋰*⋻1144=NaN","layer":1},{"info":"NaN⫞⩸⩒NaN=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"((($1440$↛⩡⫤)⋭≵($1368$⨵⪆$2950$))⨭⪣(⊵⊁(↽≂$1161$)))∀⇚≩((⨞⊢$7064$≦↸$5175$)⪭≯(⋂$1493$⨼⩣$5062$))","expression":"(((⋰*⋻109A↛⩡⫤)⋭≵(⋰*⋻1034⨵⪆⋰*⋻2242))⨭⪣(⊵⊁(↽≂⋰*⋻966)))∀⇚≩((⨞⊢⋰*⋻5342≦↸⋰*⋻3985)⪭≯(⋂⋰*⋻1138⨼⩣⋰*⋻3892))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7854,"operation_count":12,"complexity_ratio":654.5,"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":1440,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1368,"base":11},"right_expr":{"type":"numeric_atoms","value":2950,"base":11}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1161,"base":11}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":7064,"base":11},"right_expr":{"type":"numeric_atoms","value":5175,"base":11}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1493,"base":11},"right_expr":{"type":"numeric_atoms","value":5062,"base":11}}}}},"used_operators":["LRNGc0VcxI","kn8WO9XteQ","jBncVCNhdl","FU0Cs4j7VP","2DQ55sFlQl","AvED76WdY7","u6S6b8DprG","XAx5wpdLa6","xUOZtlo3hN","RygbFNSyEJ","BUOGQAYlQx","JxwMv5le6e"],"dependent_operators":["X99M06cbEe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-213529","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=2950, 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=-213529, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2322","layer":3},{"info":"compute unary expreesion, input=-2322, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-389","layer":1},{"info":"number node, value=7064","layer":4},{"info":"number node, value=5175","layer":4},{"info":"compute binary expreesion, left_input=7064, right_input=5175, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-23797","layer":3},{"info":"compute unary expreesion, input=-23797, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=23623","layer":2},{"info":"number node, value=1493","layer":4},{"info":"number node, value=5062","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=5062, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23623, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-389, 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":11,"result_base":11,"text":"(((⋰*⋻109A↛⩡⫤)⋭≵(⋰*⋻1034⨵⪆⋰*⋻2242))⨭⪣(⊵⊁(↽≂⋰*⋻966)))∀⇚≩((⨞⊢⋰*⋻5342≦↸⋰*⋻3985)⪭≯(⋂⋰*⋻1138⨼⩣⋰*⋻3892))=NaN","reverse_text":"NaN=(((⋰*⋻109A↛⩡⫤)⋭≵(⋰*⋻1034⨵⪆⋰*⋻2242))⨭⪣(⊵⊁(↽≂⋰*⋻966)))∀⇚≩((⨞⊢⋰*⋻5342≦↸⋰*⋻3985)⪭≯(⋂⋰*⋻1138⨼⩣⋰*⋻3892))","cot":[{"info":"⋰*⋻109A↛⩡⫤=⋰*⋻-136478","layer":3},{"info":"⋰*⋻1034⨵⪆⋰*⋻2242=⋰*⋻136","layer":3},{"info":"⋰*⋻-136478⋭≵⋰*⋻136=⋰*⋻61","layer":2},{"info":"↽≂⋰*⋻966=⋰*⋻-1821","layer":3},{"info":"⊵⊁⋰*⋻-1821=⋰*⋻0","layer":2},{"info":"⋰*⋻61⨭⪣⋰*⋻0=⋰*⋻-324","layer":1},{"info":"⋰*⋻5342≦↸⋰*⋻3985=⋰*⋻-16974","layer":3},{"info":"⨞⊢⋰*⋻-16974=⋰*⋻16826","layer":2},{"info":"⋰*⋻1138⨼⩣⋰*⋻3892=NaN","layer":3},{"info":"⋂NaN=NaN","layer":2},{"info":"⋰*⋻16826⪭≯NaN=NaN","layer":1},{"info":"⋰*⋻-324∀⇚≩NaN=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"⨩∲⋌(⨆≐≲(($2186$↸$1067$)⪑⩈))","expression":"⨩∲⋌(⨆≐≲((⋰*⋻1708↸⋰*⋻890)⪑⩈))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1218,"operation_count":4,"complexity_ratio":304.5,"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":2186,"base":11},"right_expr":{"type":"numeric_atoms","value":1067,"base":11}}}}},"used_operators":["aSik1wnThz","Bi9z9uYZqW","C6VvDP6HwP","1eCjFl0mb9"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⋰*⋻-95189496","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2186","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=1067, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2186","layer":3},{"info":"compute unary expreesion, input=2186, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=16892","layer":2},{"info":"compute unary expreesion, input=16892, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=184532568","layer":1},{"info":"compute unary expreesion, input=184532568, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-184533091","layer":0}],"base":11,"result_base":11,"text":"⨩∲⋌(⨆≐≲((⋰*⋻1708↸⋰*⋻890)⪑⩈))=⋰*⋻-95189496","reverse_text":"⋰*⋻-95189496=⨩∲⋌(⨆≐≲((⋰*⋻1708↸⋰*⋻890)⪑⩈))","cot":[{"info":"⋰*⋻1708↸⋰*⋻890=⋰*⋻1708","layer":3},{"info":"⋰*⋻1708⪑⩈=⋰*⋻11767","layer":2},{"info":"⨆≐≲⋰*⋻11767=⋰*⋻95189060","layer":1},{"info":"⨩∲⋌⋰*⋻95189060=⋰*⋻-95189496","layer":0}]}
{"id":750,"expression_no_base_symbol":"(($1202$⨓$6497$⪑⩈)≋⫹)∖(≋(∓($3774$∙∹∝$3858$)))","expression":"((⋰*⋻9A3⨓⋰*⋻4977⪑⩈)≋⫹)∖(≋(∓(⋰*⋻2921∙∹∝⋰*⋻2998)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6735,"operation_count":7,"complexity_ratio":962.1428571428571,"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":1202,"base":11},"right_expr":{"type":"numeric_atoms","value":6497,"base":11}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3774,"base":11},"right_expr":{"type":"numeric_atoms","value":3858,"base":11}}}}},"used_operators":["tXD093vOjl","N41Kp7NANJ","C6VvDP6HwP","3ViojmjbAp","61wBmkZwlr","OwUj7dcsQK","HmxsFra2vL"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","7j4O788W3g","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1202","layer":4},{"info":"number node, value=6497","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=6497, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6500","layer":3},{"info":"compute unary expreesion, input=-6500, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=6542","layer":2},{"info":"compute unary expreesion, input=6542, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13084","layer":1},{"info":"number node, value=3774","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=3858, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-4872","layer":2},{"info":"compute unary expreesion, input=-4872, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-4872","layer":1},{"info":"compute binary expreesion, left_input=-13084, right_input=-4872, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻9A3⨓⋰*⋻4977⪑⩈)≋⫹)∖(≋(∓(⋰*⋻2921∙∹∝⋰*⋻2998)))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻9A3⨓⋰*⋻4977⪑⩈)≋⫹)∖(≋(∓(⋰*⋻2921∙∹∝⋰*⋻2998)))","cot":[{"info":"⋰*⋻9A3⨓⋰*⋻4977=⋰*⋻-497A","layer":3},{"info":"⋰*⋻-497A⪑⩈=⋰*⋻4A08","layer":2},{"info":"⋰*⋻4A08≋⫹=⋰*⋻-9915","layer":1},{"info":"⋰*⋻2921∙∹∝⋰*⋻2998=⋰*⋻0","layer":3},{"info":"∓⋰*⋻0=⋰*⋻-372A","layer":2},{"info":"≋⋰*⋻-372A=⋰*⋻-372A","layer":1},{"info":"⋰*⋻-9915∖⋰*⋻-372A=⋰*⋻0","layer":0}]}
{"id":751,"expression_no_base_symbol":"((⇾⩊⇾($2781$⫌⩹⨱))⨒($4693$⇴$1336$⊜))⇗⋫","expression":"((⇾⩊⇾(⋰*⋻20A9⫌⩹⨱))⨒(⋰*⋻3587⇴⋰*⋻1005⊜))⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":545,"operation_count":6,"complexity_ratio":90.83333333333333,"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":2781,"base":11}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4693,"base":11},"right_expr":{"type":"numeric_atoms","value":1336,"base":11}}}}},"used_operators":["hpqmaQFPrd","y75s1iXyHd","bx9Z9DAK5y","EBcxylXtPf","Eev2Q7dYIw","4JB6nKBMSY"],"dependent_operators":["rxpJgHHUmx","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2781","layer":4},{"info":"compute unary expreesion, input=2781, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6963","layer":3},{"info":"compute unary expreesion, input=6963, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-69153","layer":2},{"info":"number node, value=4693","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=1336, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=30444","layer":3},{"info":"compute unary expreesion, input=30444, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-120040","layer":2},{"info":"compute binary expreesion, left_input=-69153, right_input=-120040, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇾⩊⇾(⋰*⋻20A9⫌⩹⨱))⨒(⋰*⋻3587⇴⋰*⋻1005⊜))⇗⋫=NaN","reverse_text":"NaN=((⇾⩊⇾(⋰*⋻20A9⫌⩹⨱))⨒(⋰*⋻3587⇴⋰*⋻1005⊜))⇗⋫","cot":[{"info":"⋰*⋻20A9⫌⩹⨱=⋰*⋻5260","layer":3},{"info":"⇾⩊⇾⋰*⋻5260=⋰*⋻-47A57","layer":2},{"info":"⋰*⋻3587⇴⋰*⋻1005=⋰*⋻20967","layer":3},{"info":"⋰*⋻20967⊜=⋰*⋻-82208","layer":2},{"info":"⋰*⋻-47A57⨒⋰*⋻-82208=⋰*⋻1","layer":1},{"info":"⋰*⋻1⇗⋫=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"(($6272$∌↝$1345$⋾⨃∁$5038$↹⊜$1038$)∊∟⩊((⇜$4339$)⊉↱≁(↞≼$1925$)))⨐(($2875$⨽∌$6489$⇌⫙⪟$1531$∺≝⩲$1264$)∊∟⩊(($5294$⊧↖)⊢($5310$↡⊰⫅$2630$)))","expression":"((⋰*⋻4792∌↝⋰*⋻1013⋾⨃∁⋰*⋻3870↹⊜⋰*⋻864)∊∟⩊((⇜⋰*⋻3295)⊉↱≁(↞≼⋰*⋻14A0)))⨐((⋰*⋻2184⨽∌⋰*⋻496A⇌⫙⪟⋰*⋻1172∺≝⩲⋰*⋻A4A)∊∟⩊((⋰*⋻3A83⊧↖)⊢(⋰*⋻3A98↡⊰⫅⋰*⋻1A81)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":48542,"operation_count":15,"complexity_ratio":3236.133333333333,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":6272,"base":11},"right_expr":{"type":"numeric_atoms","value":1345,"base":11}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":5038,"base":11},"right_expr":{"type":"numeric_atoms","value":1038,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4339,"base":11}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1925,"base":11}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2875,"base":11},"right_expr":{"type":"numeric_atoms","value":6489,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1531,"base":11},"right_expr":{"type":"numeric_atoms","value":1264,"base":11}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":5294,"base":11}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5310,"base":11},"right_expr":{"type":"numeric_atoms","value":2630,"base":11}}}}},"used_operators":["Noe24qw2ks","ddLRYrp01A","212REbPD9h","9Isq31Ruls","9bazX3JMtO","w2P8NbNXyL","lFBm8KRb8F","DE7zCoGJt9","AFVx7xoS7T","9samAPKr6k","KPf6cnQVty","5twsqlHp2o","EKiFHuOFxO","VCtxkLNOzz"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⋰*⋻554565","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6272","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=6272, right_input=1345, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=5038","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=5038, right_input=1038, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5828","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5828, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=339585810","layer":2},{"info":"number node, value=4339","layer":4},{"info":"compute unary expreesion, input=4339, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-35120","layer":3},{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=14986","layer":3},{"info":"compute binary expreesion, left_input=-35120, right_input=14986, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-442230","layer":2},{"info":"compute binary expreesion, left_input=339585810, right_input=-442230, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-442230","layer":1},{"info":"number node, value=2875","layer":4},{"info":"number node, value=6489","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=6489, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1531","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=1264, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=5294","layer":4},{"info":"compute unary expreesion, input=5294, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=168187508","layer":3},{"info":"number node, value=5310","layer":4},{"info":"number node, value=2630","layer":4},{"info":"compute binary expreesion, left_input=5310, right_input=2630, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5260","layer":3},{"info":"compute binary expreesion, left_input=168187508, right_input=5260, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-336375260","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-336375260, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-336375260","layer":1},{"info":"compute binary expreesion, left_input=-442230, right_input=-336375260, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=884460","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4792∌↝⋰*⋻1013⋾⨃∁⋰*⋻3870↹⊜⋰*⋻864)∊∟⩊((⇜⋰*⋻3295)⊉↱≁(↞≼⋰*⋻14A0)))⨐((⋰*⋻2184⨽∌⋰*⋻496A⇌⫙⪟⋰*⋻1172∺≝⩲⋰*⋻A4A)∊∟⩊((⋰*⋻3A83⊧↖)⊢(⋰*⋻3A98↡⊰⫅⋰*⋻1A81)))=⋰*⋻554565","reverse_text":"⋰*⋻554565=((⋰*⋻4792∌↝⋰*⋻1013⋾⨃∁⋰*⋻3870↹⊜⋰*⋻864)∊∟⩊((⇜⋰*⋻3295)⊉↱≁(↞≼⋰*⋻14A0)))⨐((⋰*⋻2184⨽∌⋰*⋻496A⇌⫙⪟⋰*⋻1172∺≝⩲⋰*⋻A4A)∊∟⩊((⋰*⋻3A83⊧↖)⊢(⋰*⋻3A98↡⊰⫅⋰*⋻1A81)))","cot":[{"info":"⋰*⋻4792∌↝⋰*⋻1013=⋰*⋻0","layer":3},{"info":"⋰*⋻3870↹⊜⋰*⋻864=⋰*⋻4419","layer":3},{"info":"⋰*⋻0⋾⨃∁⋰*⋻4419=⋰*⋻164761933","layer":2},{"info":"⇜⋰*⋻3295=⋰*⋻-24428","layer":3},{"info":"↞≼⋰*⋻14A0=⋰*⋻10294","layer":3},{"info":"⋰*⋻-24428⊉↱≁⋰*⋻10294=⋰*⋻-282288","layer":2},{"info":"⋰*⋻164761933∊∟⩊⋰*⋻-282288=⋰*⋻-282288","layer":1},{"info":"⋰*⋻2184⨽∌⋰*⋻496A=⋰*⋻0","layer":3},{"info":"⋰*⋻1172∺≝⩲⋰*⋻A4A=⋰*⋻136","layer":3},{"info":"⋰*⋻0⇌⫙⪟⋰*⋻136=⋰*⋻A3","layer":2},{"info":"⋰*⋻3A83⊧↖=⋰*⋻86A34845","layer":3},{"info":"⋰*⋻3A98↡⊰⫅⋰*⋻1A81=⋰*⋻3A52","layer":3},{"info":"⋰*⋻86A34845⊢⋰*⋻3A52=⋰*⋻-162969791","layer":2},{"info":"⋰*⋻A3∊∟⩊⋰*⋻-162969791=⋰*⋻-162969791","layer":1},{"info":"⋰*⋻-282288⨐⋰*⋻-162969791=⋰*⋻554565","layer":0}]}
{"id":753,"expression_no_base_symbol":"⫟($3579$⋾⨃∁$2745$∠⫱$4186$≠≀$3226$)⪝(⨴⫝(⇖⫷⫕$7427$))","expression":"⫟(⋰*⋻2764⋾⨃∁⋰*⋻2076∠⫱⋰*⋻3166≠≀⋰*⋻2473)⪝(⨴⫝(⇖⫷⫕⋰*⋻5642))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5894,"operation_count":7,"complexity_ratio":842.0,"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":3579,"base":11},"right_expr":{"type":"numeric_atoms","value":2745,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4186,"base":11},"right_expr":{"type":"numeric_atoms","value":3226,"base":11}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":7427,"base":11}}}}},"used_operators":["z4E1FaHLuy","wicAB68Tmb","QvoQhV0rrE","212REbPD9h","IwW236VD4Y","SVb2v531z1","UHmRx3INFg"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"⋰*⋻139766717","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3579","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=3579, right_input=2745, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=75317216","layer":3},{"info":"number node, value=4186","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=3226, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8066","layer":3},{"info":"compute binary expreesion, left_input=75317216, right_input=-8066, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=75325282","layer":2},{"info":"number node, value=7427","layer":4},{"info":"compute unary expreesion, input=7427, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=75325282, right_input=2828198, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-289988735","layer":1},{"info":"compute unary expreesion, input=-289988735, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=289988497","layer":0}],"base":11,"result_base":11,"text":"⫟(⋰*⋻2764⋾⨃∁⋰*⋻2076∠⫱⋰*⋻3166≠≀⋰*⋻2473)⪝(⨴⫝(⇖⫷⫕⋰*⋻5642))=⋰*⋻139766717","reverse_text":"⋰*⋻139766717=⫟(⋰*⋻2764⋾⨃∁⋰*⋻2076∠⫱⋰*⋻3166≠≀⋰*⋻2473)⪝(⨴⫝(⇖⫷⫕⋰*⋻5642))","cot":[{"info":"⋰*⋻2764⋾⨃∁⋰*⋻2076=⋰*⋻39572A37","layer":3},{"info":"⋰*⋻3166≠≀⋰*⋻2473=⋰*⋻-6073","layer":3},{"info":"⋰*⋻39572A37∠⫱⋰*⋻-6073=⋰*⋻39578AAA","layer":2},{"info":"⇖⫷⫕⋰*⋻5642=⋰*⋻2136","layer":3},{"info":"⨴⫝⋰*⋻2136=⋰*⋻166195A","layer":2},{"info":"⋰*⋻39578AAA⪝⋰*⋻166195A=⋰*⋻-139766913","layer":1},{"info":"⫟⋰*⋻-139766913=⋰*⋻139766717","layer":0}]}
{"id":754,"expression_no_base_symbol":"(⪡⇡≛$5722$⨂≜$2007$)↳≱($1846$⨥⫆$1494$)⋹⋡⊁($2877$⪑⩈)∌↝(($1202$⋩≍≻)≀⫉(⊈$3075$)-($5114$⨸⪁$1423$⨵⪆$6005$⫥∨⫟$7498$))","expression":"(⪡⇡≛⋰*⋻4332⨂≜⋰*⋻1565)↳≱(⋰*⋻1429⨥⫆⋰*⋻1139)⋹⋡⊁(⋰*⋻2186⪑⩈)∌↝((⋰*⋻9A3⋩≍≻)≀⫉(⊈⋰*⋻2346)-(⋰*⋻392A⨸⪁⋰*⋻1084⨵⪆⋰*⋻456A⫥∨⫟⋰*⋻56A7))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":68779,"operation_count":14,"complexity_ratio":4912.785714285715,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5722,"base":11},"right_expr":{"type":"numeric_atoms","value":2007,"base":11}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1846,"base":11},"right_expr":{"type":"numeric_atoms","value":1494,"base":11}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":2877,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1202,"base":11}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3075,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5114,"base":11},"right_expr":{"type":"numeric_atoms","value":1423,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6005,"base":11},"right_expr":{"type":"numeric_atoms","value":7498,"base":11}}}}},"used_operators":["9Isq31Ruls","JwTKLfZU96","qL4PrbW1Dq","k1SHOSEABc","As8RqfVLgs","yXekIHxTD4","C6VvDP6HwP","rysDP5nf3Z","oZj3VtZNQx","WYd1w68Nbz","RHru8klgy8","2DQ55sFlQl","g55IO6H4Gj","KYD54nUTWz"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","12rbrZMWeM","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⋰*⋻-6000","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5722","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=5722, right_input=2007, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":2},{"info":"number node, value=1846","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=1494, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2864","layer":3},{"info":"number node, value=2877","layer":4},{"info":"compute unary expreesion, input=2877, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=21729","layer":3},{"info":"compute binary expreesion, left_input=2864, right_input=21729, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=22479","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22479, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=3075","layer":4},{"info":"compute unary expreesion, input=3075, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3249","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-3249, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=5114","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=1423, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13074","layer":3},{"info":"number node, value=6005","layer":4},{"info":"number node, value=7498","layer":4},{"info":"compute binary expreesion, left_input=6005, right_input=7498, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13074, 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=2822, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2662","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2662, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-7986","layer":0}],"base":11,"result_base":11,"text":"(⪡⇡≛⋰*⋻4332⨂≜⋰*⋻1565)↳≱(⋰*⋻1429⨥⫆⋰*⋻1139)⋹⋡⊁(⋰*⋻2186⪑⩈)∌↝((⋰*⋻9A3⋩≍≻)≀⫉(⊈⋰*⋻2346)-(⋰*⋻392A⨸⪁⋰*⋻1084⨵⪆⋰*⋻456A⫥∨⫟⋰*⋻56A7))=⋰*⋻-6000","reverse_text":"⋰*⋻-6000=(⪡⇡≛⋰*⋻4332⨂≜⋰*⋻1565)↳≱(⋰*⋻1429⨥⫆⋰*⋻1139)⋹⋡⊁(⋰*⋻2186⪑⩈)∌↝((⋰*⋻9A3⋩≍≻)≀⫉(⊈⋰*⋻2346)-(⋰*⋻392A⨸⪁⋰*⋻1084⨵⪆⋰*⋻456A⫥∨⫟⋰*⋻56A7))","cot":[{"info":"⋰*⋻4332⨂≜⋰*⋻1565=NaN","layer":3},{"info":"⪡⇡≛NaN=NaN","layer":2},{"info":"⋰*⋻1429⨥⫆⋰*⋻1139=⋰*⋻2174","layer":3},{"info":"⋰*⋻2186⪑⩈=⋰*⋻15364","layer":3},{"info":"⋰*⋻2174⋹⋡⊁⋰*⋻15364=⋰*⋻15986","layer":2},{"info":"NaN↳≱⋰*⋻15986=⋰*⋻0","layer":1},{"info":"⋰*⋻9A3⋩≍≻=⋰*⋻-50","layer":3},{"info":"⊈⋰*⋻2346=⋰*⋻-2494","layer":3},{"info":"⋰*⋻-50≀⫉⋰*⋻-2494=⋰*⋻2136","layer":2},{"info":"⋰*⋻392A⨸⪁⋰*⋻1084=⋰*⋻9906","layer":3},{"info":"⋰*⋻456A⫥∨⫟⋰*⋻56A7=NaN","layer":3},{"info":"⋰*⋻9906⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻2136-⋰*⋻136=⋰*⋻2000","layer":1},{"info":"⋰*⋻0∌↝⋰*⋻2000=⋰*⋻-6000","layer":0}]}
{"id":755,"expression_no_base_symbol":"($1798$⨸$1727$∠⫱($3916$∲⫓$8250$))⩍⋽⫝̸(≇⪴(⇋⊎⋝$5710$))≚⊃≕((($1701$⪑⩈)⨰($2061$⩏))⪍↜⋙(⫎≠⋺$5012$⨂≜$1012$))","expression":"(⋰*⋻1395⨸⋰*⋻1330∠⫱(⋰*⋻2A40∲⫓⋰*⋻6220))⩍⋽⫝̸(≇⪴(⇋⊎⋝⋰*⋻4321))≚⊃≕(((⋰*⋻1307⪑⩈)⨰(⋰*⋻1604⩏))⪍↜⋙(⫎≠⋺⋰*⋻3847⨂≜⋰*⋻840))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13305,"operation_count":13,"complexity_ratio":1023.4615384615385,"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":1798,"base":11},"right_expr":{"type":"numeric_atoms","value":1727,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3916,"base":11},"right_expr":{"type":"numeric_atoms","value":8250,"base":11}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":5710,"base":11}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1701,"base":11}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":2061,"base":11}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5012,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}}}}},"used_operators":["Bmrmz2XGnR","BiWNJpBvwn","QvoQhV0rrE","KmoU8R5UQR","i8ToyICDmI","zoVPnxeHJ3","CzM2PEoXns","L05ObWFQCd","eewbuw0ToL","C6VvDP6HwP","iA2gmKZ3Wj","LYeZOJ0nQG","k1SHOSEABc"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","z6LnFrNh4i","Tcnh7f0tEr","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1798","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=1798, right_input=1727, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3596","layer":3},{"info":"number node, value=3916","layer":4},{"info":"number node, value=8250","layer":4},{"info":"compute binary expreesion, left_input=3916, right_input=8250, 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=3596, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=3596","layer":2},{"info":"number node, value=5710","layer":4},{"info":"compute unary expreesion, input=5710, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3596, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"number node, value=1701","layer":4},{"info":"compute unary expreesion, input=1701, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=13497","layer":3},{"info":"number node, value=2061","layer":4},{"info":"compute unary expreesion, input=2061, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=13497, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=13507","layer":2},{"info":"number node, value=5012","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=5012, right_input=1012, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13507, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1395⨸⋰*⋻1330∠⫱(⋰*⋻2A40∲⫓⋰*⋻6220))⩍⋽⫝̸(≇⪴(⇋⊎⋝⋰*⋻4321))≚⊃≕(((⋰*⋻1307⪑⩈)⨰(⋰*⋻1604⩏))⪍↜⋙(⫎≠⋺⋰*⋻3847⨂≜⋰*⋻840))=NaN","reverse_text":"NaN=(⋰*⋻1395⨸⋰*⋻1330∠⫱(⋰*⋻2A40∲⫓⋰*⋻6220))⩍⋽⫝̸(≇⪴(⇋⊎⋝⋰*⋻4321))≚⊃≕(((⋰*⋻1307⪑⩈)⨰(⋰*⋻1604⩏))⪍↜⋙(⫎≠⋺⋰*⋻3847⨂≜⋰*⋻840))","cot":[{"info":"⋰*⋻1395⨸⋰*⋻1330=⋰*⋻277A","layer":3},{"info":"⋰*⋻2A40∲⫓⋰*⋻6220=⋰*⋻0","layer":3},{"info":"⋰*⋻277A∠⫱⋰*⋻0=⋰*⋻277A","layer":2},{"info":"⇋⊎⋝⋰*⋻4321=NaN","layer":3},{"info":"≇⪴NaN=NaN","layer":2},{"info":"⋰*⋻277A⩍⋽⫝̸NaN=NaN","layer":1},{"info":"⋰*⋻1307⪑⩈=⋰*⋻A160","layer":3},{"info":"⋰*⋻1604⩏=⋰*⋻0","layer":3},{"info":"⋰*⋻A160⨰⋰*⋻0=⋰*⋻A16A","layer":2},{"info":"⋰*⋻3847⨂≜⋰*⋻840=NaN","layer":3},{"info":"⫎≠⋺NaN=NaN","layer":2},{"info":"⋰*⋻A16A⪍↜⋙NaN=NaN","layer":1},{"info":"NaN≚⊃≕NaN=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"((↨⩢⫨$7688$↳≱$1581$)⫲⨊)⨻⩈⩔(→⩰($6750$⇀∌))⇡⇂($2402$⊴$6592$)⇡⇂($1817$⋳⪒$1422$)","expression":"((↨⩢⫨⋰*⋻585A↳≱⋰*⋻1208)⫲⨊)⨻⩈⩔(→⩰(⋰*⋻5087⇀∌))⇡⇂(⋰*⋻1894⊴⋰*⋻4A53)⇡⇂(⋰*⋻1402⋳⪒⋰*⋻1083)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17265,"operation_count":10,"complexity_ratio":1726.5,"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":7688,"base":11},"right_expr":{"type":"numeric_atoms","value":1581,"base":11}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":6750,"base":11}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2402,"base":11},"right_expr":{"type":"numeric_atoms","value":6592,"base":11}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1817,"base":11},"right_expr":{"type":"numeric_atoms","value":1422,"base":11}}}}},"used_operators":["nEsXyWgiOK","CArV6hThFE","Z5CJsN7DuW","JwTKLfZU96","UMwdvZNt44","o8Pngz0Tml","2k53nXOpI5","Nsiff2A1zJ","12rbrZMWeM"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7688","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=7688, right_input=1581, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=783","layer":1},{"info":"number node, value=6750","layer":4},{"info":"compute unary expreesion, input=6750, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=2402","layer":4},{"info":"number node, value=6592","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=6592, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1817","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=1422, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1925","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1925, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=783, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↨⩢⫨⋰*⋻585A↳≱⋰*⋻1208)⫲⨊)⨻⩈⩔(→⩰(⋰*⋻5087⇀∌))⇡⇂(⋰*⋻1894⊴⋰*⋻4A53)⇡⇂(⋰*⋻1402⋳⪒⋰*⋻1083)=NaN","reverse_text":"NaN=((↨⩢⫨⋰*⋻585A↳≱⋰*⋻1208)⫲⨊)⨻⩈⩔(→⩰(⋰*⋻5087⇀∌))⇡⇂(⋰*⋻1894⊴⋰*⋻4A53)⇡⇂(⋰*⋻1402⋳⪒⋰*⋻1083)","cot":[{"info":"⋰*⋻585A↳≱⋰*⋻1208=⋰*⋻0","layer":3},{"info":"↨⩢⫨⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0⫲⨊=⋰*⋻652","layer":1},{"info":"⋰*⋻5087⇀∌=⋰*⋻A3","layer":3},{"info":"→⩰⋰*⋻A3=NaN","layer":2},{"info":"⋰*⋻1894⊴⋰*⋻4A53=NaN","layer":3},{"info":"⋰*⋻1402⋳⪒⋰*⋻1083=⋰*⋻14A0","layer":3},{"info":"NaN⇡⇂⋰*⋻14A0=NaN","layer":2},{"info":"NaN⇡⇂NaN=NaN","layer":1},{"info":"⋰*⋻652⨻⩈⩔NaN=NaN","layer":0}]}
{"id":757,"expression_no_base_symbol":"⫖→(≱⇩⩕(⫶⊄≣($2058$⩧⪆$5295$)))","expression":"⫖→(≱⇩⩕(⫶⊄≣(⋰*⋻1601⩧⪆⋰*⋻3A84)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5653,"operation_count":4,"complexity_ratio":1413.25,"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":2058,"base":11},"right_expr":{"type":"numeric_atoms","value":5295,"base":11}}}}},"used_operators":["U4ylXWHChL","3DZMoQKiUl","wxb3vTeyAj","Ikt5ks8PT7"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","eewbuw0ToL","t8gj7n24qd"],"result":"⋰*⋻151","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":4},{"info":"number node, value=5295","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=5295, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5295","layer":3},{"info":"compute unary expreesion, input=-5295, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=504567829","layer":2},{"info":"compute unary expreesion, input=504567829, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":11,"result_base":11,"text":"⫖→(≱⇩⩕(⫶⊄≣(⋰*⋻1601⩧⪆⋰*⋻3A84)))=⋰*⋻151","reverse_text":"⋰*⋻151=⫖→(≱⇩⩕(⫶⊄≣(⋰*⋻1601⩧⪆⋰*⋻3A84)))","cot":[{"info":"⋰*⋻1601⩧⪆⋰*⋻3A84=⋰*⋻-3A84","layer":3},{"info":"⫶⊄≣⋰*⋻-3A84=⋰*⋻2398A7307","layer":2},{"info":"≱⇩⩕⋰*⋻2398A7307=⋰*⋻A3","layer":1},{"info":"⫖→⋰*⋻A3=⋰*⋻151","layer":0}]}
{"id":758,"expression_no_base_symbol":"($5011$⨎$1499$⪬∳)⊹∫⫚(∓$3401$)⋝⋈⪟$1081$∴$1011$⩺⪪(($1522$⪉⨛$3349$)⇤($1100$⫯⪬∳$1303$)↸($2931$⊋≦⊧$3027$)⩍⋽⫝̸($2299$⪡$2497$))","expression":"(⋰*⋻3846⨎⋰*⋻1143⪬∳)⊹∫⫚(∓⋰*⋻2612)⋝⋈⪟⋰*⋻8A3∴⋰*⋻83A⩺⪪((⋰*⋻1164⪉⨛⋰*⋻2575)⇤(⋰*⋻910⫯⪬∳⋰*⋻A85)↸(⋰*⋻2225⊋≦⊧⋰*⋻2302)⩍⋽⫝̸(⋰*⋻1800⪡⋰*⋻1970))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5778,"operation_count":14,"complexity_ratio":412.7142857142857,"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":5011,"base":11},"right_expr":{"type":"numeric_atoms","value":1499,"base":11}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":3401,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":1011,"base":11}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1522,"base":11},"right_expr":{"type":"numeric_atoms","value":3349,"base":11}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1100,"base":11},"right_expr":{"type":"numeric_atoms","value":1303,"base":11}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2931,"base":11},"right_expr":{"type":"numeric_atoms","value":3027,"base":11}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2299,"base":11},"right_expr":{"type":"numeric_atoms","value":2497,"base":11}}}}},"used_operators":["uvdQJvN4PV","uWAJUKEvyW","O9U3z1385E","rJVOvQCfKK","2DDjHMKMc0","OwUj7dcsQK","hrf7POJlIJ","1eCjFl0mb9","YSKBFp38Pu","EWw2JM7wp4","d7ASUq0ydm","BiWNJpBvwn","oRDoc9rAEX","oraRL2iQuh"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Ph9nP6C5qx","xUOZtlo3hN","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋰*⋻1490","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5011","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=5011, right_input=1499, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1499","layer":3},{"info":"compute unary expreesion, input=1499, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"number node, value=3401","layer":4},{"info":"compute unary expreesion, input=3401, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-55887","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1011, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3810","layer":3},{"info":"compute binary expreesion, left_input=-55887, right_input=3810, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-55887","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=-55887, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-204","layer":1},{"info":"number node, value=1522","layer":4},{"info":"number node, value=3349","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=3349, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1432","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1303, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4230","layer":3},{"info":"compute binary expreesion, left_input=1432, right_input=4230, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-25462","layer":2},{"info":"number node, value=2931","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=3027, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-5718","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=2497, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=-5718, right_input=107, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-316","layer":2},{"info":"compute binary expreesion, left_input=-25462, right_input=-316, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-25462","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=-25462, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3846⨎⋰*⋻1143⪬∳)⊹∫⫚(∓⋰*⋻2612)⋝⋈⪟⋰*⋻8A3∴⋰*⋻83A⩺⪪((⋰*⋻1164⪉⨛⋰*⋻2575)⇤(⋰*⋻910⫯⪬∳⋰*⋻A85)↸(⋰*⋻2225⊋≦⊧⋰*⋻2302)⩍⋽⫝̸(⋰*⋻1800⪡⋰*⋻1970))=⋰*⋻1490","reverse_text":"⋰*⋻1490=(⋰*⋻3846⨎⋰*⋻1143⪬∳)⊹∫⫚(∓⋰*⋻2612)⋝⋈⪟⋰*⋻8A3∴⋰*⋻83A⩺⪪((⋰*⋻1164⪉⨛⋰*⋻2575)⇤(⋰*⋻910⫯⪬∳⋰*⋻A85)↸(⋰*⋻2225⊋≦⊧⋰*⋻2302)⩍⋽⫝̸(⋰*⋻1800⪡⋰*⋻1970))","cot":[{"info":"⋰*⋻3846⨎⋰*⋻1143=⋰*⋻1143","layer":3},{"info":"⋰*⋻1143⪬∳=⋰*⋻-595","layer":2},{"info":"∓⋰*⋻2612=⋰*⋻-38A97","layer":3},{"info":"⋰*⋻8A3∴⋰*⋻83A=⋰*⋻2954","layer":3},{"info":"⋰*⋻-38A97⋝⋈⪟⋰*⋻2954=⋰*⋻-38A97","layer":2},{"info":"⋰*⋻-595⊹∫⫚⋰*⋻-38A97=⋰*⋻-176","layer":1},{"info":"⋰*⋻1164⪉⨛⋰*⋻2575=⋰*⋻1092","layer":3},{"info":"⋰*⋻910⫯⪬∳⋰*⋻A85=⋰*⋻31A6","layer":3},{"info":"⋰*⋻1092⇤⋰*⋻31A6=⋰*⋻-18148","layer":2},{"info":"⋰*⋻2225⊋≦⊧⋰*⋻2302=⋰*⋻-4329","layer":3},{"info":"⋰*⋻1800⪡⋰*⋻1970=⋰*⋻98","layer":3},{"info":"⋰*⋻-4329⩍⋽⫝̸⋰*⋻98=⋰*⋻-268","layer":2},{"info":"⋰*⋻-18148↸⋰*⋻-268=⋰*⋻-18148","layer":1},{"info":"⋰*⋻-176⩺⪪⋰*⋻-18148=⋰*⋻1490","layer":0}]}
{"id":759,"expression_no_base_symbol":"⨵(($2493$⪨⊡$4820$∲⫓$8473$⨎$2650$)⋩≍≻)","expression":"⨵((⋰*⋻1967⪨⊡⋰*⋻3692∲⫓⋰*⋻6403⨎⋰*⋻1A9A)⋩≍≻)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":90,"operation_count":5,"complexity_ratio":18.0,"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":2493,"base":11},"right_expr":{"type":"numeric_atoms","value":4820,"base":11}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8473,"base":11},"right_expr":{"type":"numeric_atoms","value":2650,"base":11}}}}},"used_operators":["Tl3Y52tvF8","WYd1w68Nbz","i8ToyICDmI","kuIXHzHcAH","rJVOvQCfKK"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋰*⋻2166","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2493","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=4820, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=8473","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=8473, right_input=2650, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2650","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2650, 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 = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=2855","layer":0}],"base":11,"result_base":11,"text":"⨵((⋰*⋻1967⪨⊡⋰*⋻3692∲⫓⋰*⋻6403⨎⋰*⋻1A9A)⋩≍≻)=⋰*⋻2166","reverse_text":"⋰*⋻2166=⨵((⋰*⋻1967⪨⊡⋰*⋻3692∲⫓⋰*⋻6403⨎⋰*⋻1A9A)⋩≍≻)","cot":[{"info":"⋰*⋻1967⪨⊡⋰*⋻3692=⋰*⋻0","layer":3},{"info":"⋰*⋻6403⨎⋰*⋻1A9A=⋰*⋻1A9A","layer":3},{"info":"⋰*⋻0∲⫓⋰*⋻1A9A=⋰*⋻0","layer":2},{"info":"⋰*⋻0⋩≍≻=⋰*⋻0","layer":1},{"info":"⨵⋰*⋻0=⋰*⋻2166","layer":0}]}
{"id":760,"expression_no_base_symbol":"(≻⋜(∑⇻≧$7264$⨸⪁$3921$))⨜⨶(∨∊⋏(($1743$⨵⪆$4326$)∖$1560$⊕∕$4960$))","expression":"(≻⋜(∑⇻≧⋰*⋻5504⨸⪁⋰*⋻2A45))⨜⨶(∨∊⋏((⋰*⋻1345⨵⪆⋰*⋻3283)∖⋰*⋻1199⊕∕⋰*⋻37AA))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33865,"operation_count":8,"complexity_ratio":4233.125,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7264,"base":11},"right_expr":{"type":"numeric_atoms","value":3921,"base":11}}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1743,"base":11},"right_expr":{"type":"numeric_atoms","value":4326,"base":11}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1560,"base":11},"right_expr":{"type":"numeric_atoms","value":4960,"base":11}}}}},"used_operators":["HiPekx5b7W","3tj9sqzovi","l1M9WJ3V7u","g55IO6H4Gj","R5aXW34M0v","tXD093vOjl","2DQ55sFlQl","9cloC0Ngie"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7264","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=7264, right_input=3921, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22370","layer":3},{"info":"compute unary expreesion, input=22370, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute unary expreesion, input=-852, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=1743","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=4326, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=4960","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=4960, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1560","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1560, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=54","layer":2},{"info":"compute unary expreesion, input=54, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-4837","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4837, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≻⋜(∑⇻≧⋰*⋻5504⨸⪁⋰*⋻2A45))⨜⨶(∨∊⋏((⋰*⋻1345⨵⪆⋰*⋻3283)∖⋰*⋻1199⊕∕⋰*⋻37AA))=NaN","reverse_text":"NaN=(≻⋜(∑⇻≧⋰*⋻5504⨸⪁⋰*⋻2A45))⨜⨶(∨∊⋏((⋰*⋻1345⨵⪆⋰*⋻3283)∖⋰*⋻1199⊕∕⋰*⋻37AA))","cot":[{"info":"⋰*⋻5504⨸⪁⋰*⋻2A45=⋰*⋻15897","layer":3},{"info":"∑⇻≧⋰*⋻15897=⋰*⋻-705","layer":2},{"info":"≻⋜⋰*⋻-705=NaN","layer":1},{"info":"⋰*⋻1345⨵⪆⋰*⋻3283=⋰*⋻136","layer":3},{"info":"⋰*⋻1199⊕∕⋰*⋻37AA=⋰*⋻1199","layer":3},{"info":"⋰*⋻136∖⋰*⋻1199=⋰*⋻4A","layer":2},{"info":"∨∊⋏⋰*⋻4A=⋰*⋻-36A8","layer":1},{"info":"NaN⨜⨶⋰*⋻-36A8=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"(($2324$⪭$3562$+(⇖$2028$))∷(($3813$⋭≵$2247$)⊢))⪚⩙≫","expression":"((⋰*⋻1823⪭⋰*⋻2749+(⇖⋰*⋻1584))∷((⋰*⋻2957⋭≵⋰*⋻1763)⊢))⪚⩙≫","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":90,"operation_count":7,"complexity_ratio":12.857142857142858,"tree":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2324,"base":11},"right_expr":{"type":"numeric_atoms","value":3562,"base":11}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2028,"base":11}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3813,"base":11},"right_expr":{"type":"numeric_atoms","value":2247,"base":11}}}}},"used_operators":["4n53wtyJvv","D3AQDKkPcf","W4YGzv6Whe","j9kHMeSvPp","tfWHHpNKUN","40aOVDgCDB","jBncVCNhdl"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","9FxExcQeMw","NTOWxs364D","7j4O788W3g","COABgblf1C","xUOZtlo3hN","2DQ55sFlQl","NTOWxs364D","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":4},{"info":"number node, value=3562","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=3562, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2028","layer":4},{"info":"compute unary expreesion, input=2028, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=160, op_id = W4YGzv6Whe binary_op_definition= 'None', output=165","layer":2},{"info":"number node, value=3813","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=3813, right_input=2247, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=165, right_input=67, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-959","layer":1},{"info":"compute unary expreesion, input=-959, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1823⪭⋰*⋻2749+(⇖⋰*⋻1584))∷((⋰*⋻2957⋭≵⋰*⋻1763)⊢))⪚⩙≫=NaN","reverse_text":"NaN=((⋰*⋻1823⪭⋰*⋻2749+(⇖⋰*⋻1584))∷((⋰*⋻2957⋭≵⋰*⋻1763)⊢))⪚⩙≫","cot":[{"info":"⋰*⋻1823⪭⋰*⋻2749=⋰*⋻5","layer":3},{"info":"⇖⋰*⋻1584=⋰*⋻136","layer":3},{"info":"⋰*⋻5+⋰*⋻136=⋰*⋻140","layer":2},{"info":"⋰*⋻2957⋭≵⋰*⋻1763=⋰*⋻61","layer":3},{"info":"⋰*⋻61⊢=⋰*⋻61","layer":2},{"info":"⋰*⋻140∷⋰*⋻61=⋰*⋻-7A2","layer":1},{"info":"⋰*⋻-7A2⪚⩙≫=NaN","layer":0}]}
{"id":762,"expression_no_base_symbol":"(∂⩏⊆($4335$⩦$2858$⇼⇔∾(⪝⪂⫅$1583$)))⇪⋭","expression":"(∂⩏⊆(⋰*⋻3291⩦⋰*⋻2169⇼⇔∾(⪝⪂⫅⋰*⋻120A)))⇪⋭","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":189,"operation_count":5,"complexity_ratio":37.8,"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":4335,"base":11},"right_expr":{"type":"numeric_atoms","value":2858,"base":11}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1583,"base":11}}}}},"used_operators":["Z8Yg6dlDSp","8WDwsbhb0R","tifHPKVTfV","0kmYd0q39Y","XTarYq4gQB"],"dependent_operators":["T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4335","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=4335, right_input=2858, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8670","layer":3},{"info":"number node, value=1583","layer":4},{"info":"compute unary expreesion, input=1583, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-232701","layer":3},{"info":"compute binary expreesion, left_input=8670, right_input=-232701, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-241371","layer":2},{"info":"compute unary expreesion, input=-241371, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=241855","layer":1},{"info":"compute unary expreesion, input=241855, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∂⩏⊆(⋰*⋻3291⩦⋰*⋻2169⇼⇔∾(⪝⪂⫅⋰*⋻120A)))⇪⋭=NaN","reverse_text":"NaN=(∂⩏⊆(⋰*⋻3291⩦⋰*⋻2169⇼⇔∾(⪝⪂⫅⋰*⋻120A)))⇪⋭","cot":[{"info":"⋰*⋻3291⩦⋰*⋻2169=⋰*⋻6572","layer":3},{"info":"⪝⪂⫅⋰*⋻120A=⋰*⋻-149917","layer":3},{"info":"⋰*⋻6572⇼⇔∾⋰*⋻-149917=⋰*⋻-155389","layer":2},{"info":"∂⩏⊆⋰*⋻-155389=⋰*⋻155789","layer":1},{"info":"⋰*⋻155789⇪⋭=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"($1297$⨂≜$1106$⊹∫⫚$5892$⇷$1462$)≹⇙⪍((⩎⋉$3127$)⪨≂$7411$⨚$4331$)∕⩚($3143$⩹$1402$)∌($1157$⨽$1403$)⩍⋽⫝̸(⋼∭⪍($2937$≓∲$1396$))","expression":"(⋰*⋻A7A⨂≜⋰*⋻916⊹∫⫚⋰*⋻4477⇷⋰*⋻110A)≹⇙⪍((⩎⋉⋰*⋻2393)⪨≂⋰*⋻5628⨚⋰*⋻3288)∕⩚(⋰*⋻23A8⩹⋰*⋻1065)∌(⋰*⋻962⨽⋰*⋻1066)⩍⋽⫝̸(⋼∭⪍(⋰*⋻2230≓∲⋰*⋻105A))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":85221,"operation_count":14,"complexity_ratio":6087.214285714285,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1297,"base":11},"right_expr":{"type":"numeric_atoms","value":1106,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5892,"base":11},"right_expr":{"type":"numeric_atoms","value":1462,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":3127,"base":11}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":7411,"base":11},"right_expr":{"type":"numeric_atoms","value":4331,"base":11}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3143,"base":11},"right_expr":{"type":"numeric_atoms","value":1402,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1157,"base":11},"right_expr":{"type":"numeric_atoms","value":1403,"base":11}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2937,"base":11},"right_expr":{"type":"numeric_atoms","value":1396,"base":11}}}}},"used_operators":["z9ffQ9n5Zr","AHs5Up7iyr","uWAJUKEvyW","k1SHOSEABc","mp7IySMOzn","sdazOOVcIp","FlXk3pOYe8","nREPSIbpBE","BiWNJpBvwn","8cLx32lpNA","2Wsdkap16l","8HhzD0ZcuI","DbCuESL50I","s1XTVnmDOJ"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","dWAJyo7jo9","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","BjRHVeLaeN","12rbrZMWeM","Ph9nP6C5qx","xUOZtlo3hN","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=1106, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5892","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=5892, right_input=1462, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2924","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2924, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-184","layer":2},{"info":"number node, value=3127","layer":4},{"info":"compute unary expreesion, input=3127, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=7411","layer":4},{"info":"number node, value=4331","layer":4},{"info":"compute binary expreesion, left_input=7411, right_input=4331, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1568","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-1568, 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=6538","layer":2},{"info":"compute binary expreesion, left_input=-184, right_input=6538, 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=3143","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=3143, right_input=1402, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1400","layer":3},{"info":"number node, value=1157","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1403, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4018842","layer":3},{"info":"compute binary expreesion, left_input=1400, right_input=-4018842, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=4018842","layer":2},{"info":"number node, value=2937","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=2937, right_input=1396, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=30153","layer":3},{"info":"compute unary expreesion, input=30153, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-118872","layer":2},{"info":"compute binary expreesion, left_input=4018842, right_input=-118872, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4137241","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4137241, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A7A⨂≜⋰*⋻916⊹∫⫚⋰*⋻4477⇷⋰*⋻110A)≹⇙⪍((⩎⋉⋰*⋻2393)⪨≂⋰*⋻5628⨚⋰*⋻3288)∕⩚(⋰*⋻23A8⩹⋰*⋻1065)∌(⋰*⋻962⨽⋰*⋻1066)⩍⋽⫝̸(⋼∭⪍(⋰*⋻2230≓∲⋰*⋻105A))=NaN","reverse_text":"NaN=(⋰*⋻A7A⨂≜⋰*⋻916⊹∫⫚⋰*⋻4477⇷⋰*⋻110A)≹⇙⪍((⩎⋉⋰*⋻2393)⪨≂⋰*⋻5628⨚⋰*⋻3288)∕⩚(⋰*⋻23A8⩹⋰*⋻1065)∌(⋰*⋻962⨽⋰*⋻1066)⩍⋽⫝̸(⋼∭⪍(⋰*⋻2230≓∲⋰*⋻105A))","cot":[{"info":"⋰*⋻A7A⨂≜⋰*⋻916=NaN","layer":3},{"info":"⋰*⋻4477⇷⋰*⋻110A=⋰*⋻2219","layer":3},{"info":"NaN⊹∫⫚⋰*⋻2219=⋰*⋻-158","layer":2},{"info":"⩎⋉⋰*⋻2393=⋰*⋻1270","layer":3},{"info":"⋰*⋻5628⨚⋰*⋻3288=⋰*⋻-11A6","layer":3},{"info":"⋰*⋻1270⪨≂⋰*⋻-11A6=⋰*⋻4A04","layer":2},{"info":"⋰*⋻-158≹⇙⪍⋰*⋻4A04=NaN","layer":1},{"info":"⋰*⋻23A8⩹⋰*⋻1065=⋰*⋻1063","layer":3},{"info":"⋰*⋻962⨽⋰*⋻1066=⋰*⋻-22A5463","layer":3},{"info":"⋰*⋻1063∌⋰*⋻-22A5463=⋰*⋻22A5463","layer":2},{"info":"⋰*⋻2230≓∲⋰*⋻105A=⋰*⋻20722","layer":3},{"info":"⋼∭⪍⋰*⋻20722=⋰*⋻-81346","layer":2},{"info":"⋰*⋻22A5463⩍⋽⫝̸⋰*⋻-81346=⋰*⋻2376409","layer":1},{"info":"NaN∕⩚⋰*⋻2376409=NaN","layer":0}]}
{"id":764,"expression_no_base_symbol":"($1019$⨸$5945$⪔⊥(⨞⊢$3323$)⩹($4477$⫚↹⊑$1505$⨵⪆($1311$⨵⪆$6136$)))⫠","expression":"(⋰*⋻847⨸⋰*⋻4515⪔⊥(⨞⊢⋰*⋻2551)⩹(⋰*⋻3400⫚↹⊑⋰*⋻1149⨵⪆(⋰*⋻A92⨵⪆⋰*⋻4679)))⫠","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3406,"operation_count":8,"complexity_ratio":425.75,"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":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":5945,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3323,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4477,"base":11},"right_expr":{"type":"numeric_atoms","value":1505,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1311,"base":11},"right_expr":{"type":"numeric_atoms","value":6136,"base":11}}}}},"used_operators":["6SnOT2rOjz","2Wsdkap16l","HJ9erzHUuu","KmoU8R5UQR","xUOZtlo3hN","2DQ55sFlQl","dfKe02y8D2"],"dependent_operators":["Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"number node, value=5945","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=5945, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2038","layer":3},{"info":"number node, value=3323","layer":4},{"info":"compute unary expreesion, input=3323, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3497","layer":3},{"info":"compute binary expreesion, left_input=2038, right_input=-3497, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1239","layer":2},{"info":"number node, value=4477","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=1505, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1311","layer":4},{"info":"number node, value=6136","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=6136, 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=-447, right_input=160, 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=-1239, right_input=160, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=158","layer":1},{"info":"compute unary expreesion, input=158, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻847⨸⋰*⋻4515⪔⊥(⨞⊢⋰*⋻2551)⩹(⋰*⋻3400⫚↹⊑⋰*⋻1149⨵⪆(⋰*⋻A92⨵⪆⋰*⋻4679)))⫠=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻847⨸⋰*⋻4515⪔⊥(⨞⊢⋰*⋻2551)⩹(⋰*⋻3400⫚↹⊑⋰*⋻1149⨵⪆(⋰*⋻A92⨵⪆⋰*⋻4679)))⫠","cot":[{"info":"⋰*⋻847⨸⋰*⋻4515=⋰*⋻1593","layer":3},{"info":"⨞⊢⋰*⋻2551=⋰*⋻-269A","layer":3},{"info":"⋰*⋻1593⪔⊥⋰*⋻-269A=⋰*⋻-A27","layer":2},{"info":"⋰*⋻3400⫚↹⊑⋰*⋻1149=⋰*⋻-377","layer":3},{"info":"⋰*⋻A92⨵⪆⋰*⋻4679=⋰*⋻136","layer":3},{"info":"⋰*⋻-377⨵⪆⋰*⋻136=⋰*⋻136","layer":2},{"info":"⋰*⋻-A27⩹⋰*⋻136=⋰*⋻134","layer":1},{"info":"⋰*⋻134⫠=⋰*⋻0","layer":0}]}
{"id":765,"expression_no_base_symbol":"(($1104$∳⫺$3682$)⋹⋡⊁($2066$⨝⩣∺)≧⫂∧(⊗($4278$∕⩚$8462$)))∴((($3937$⪕$2586$)⫠↝⫳)⪎⩰)","expression":"((⋰*⋻914∳⫺⋰*⋻2848)⋹⋡⊁(⋰*⋻1609⨝⩣∺)≧⫂∧(⊗(⋰*⋻323A∕⩚⋰*⋻63A3)))∴(((⋰*⋻2A5A⪕⋰*⋻1A41)⫠↝⫳)⪎⩰)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4421,"operation_count":10,"complexity_ratio":442.1,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1104,"base":11},"right_expr":{"type":"numeric_atoms","value":3682,"base":11}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2066,"base":11}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4278,"base":11},"right_expr":{"type":"numeric_atoms","value":8462,"base":11}}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3937,"base":11},"right_expr":{"type":"numeric_atoms","value":2586,"base":11}}}}},"used_operators":["hrf7POJlIJ","Ph9nP6C5qx","As8RqfVLgs","AzXXKTstlj","ancx8kZcWl","RhiyfpczSx","z9ffQ9n5Zr","2ufhKmSs5H","8n5YIzOsVS","umQnsF7QlU"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DZ8iAZOCBD","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋰*⋻12436","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":4},{"info":"number node, value=3682","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=3682, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-2886","layer":3},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-4132","layer":3},{"info":"compute binary expreesion, left_input=-2886, right_input=-4132, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=45914","layer":2},{"info":"number node, value=4278","layer":4},{"info":"number node, value=8462","layer":4},{"info":"compute binary expreesion, left_input=4278, right_input=8462, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4281","layer":3},{"info":"compute unary expreesion, input=-4281, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=8562","layer":2},{"info":"compute binary expreesion, left_input=45914, right_input=8562, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8089","layer":1},{"info":"number node, value=3937","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=3937, right_input=2586, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6189","layer":3},{"info":"compute unary expreesion, input=6189, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=198671","layer":2},{"info":"compute unary expreesion, input=198671, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":1},{"info":"compute binary expreesion, left_input=8089, right_input=-34, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=17826","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻914∳⫺⋰*⋻2848)⋹⋡⊁(⋰*⋻1609⨝⩣∺)≧⫂∧(⊗(⋰*⋻323A∕⩚⋰*⋻63A3)))∴(((⋰*⋻2A5A⪕⋰*⋻1A41)⫠↝⫳)⪎⩰)=⋰*⋻12436","reverse_text":"⋰*⋻12436=((⋰*⋻914∳⫺⋰*⋻2848)⋹⋡⊁(⋰*⋻1609⨝⩣∺)≧⫂∧(⊗(⋰*⋻323A∕⩚⋰*⋻63A3)))∴(((⋰*⋻2A5A⪕⋰*⋻1A41)⫠↝⫳)⪎⩰)","cot":[{"info":"⋰*⋻914∳⫺⋰*⋻2848=⋰*⋻-2194","layer":3},{"info":"⋰*⋻1609⨝⩣∺=⋰*⋻-3117","layer":3},{"info":"⋰*⋻-2194⋹⋡⊁⋰*⋻-3117=⋰*⋻31550","layer":2},{"info":"⋰*⋻323A∕⩚⋰*⋻63A3=⋰*⋻-3242","layer":3},{"info":"⊗⋰*⋻-3242=⋰*⋻6484","layer":2},{"info":"⋰*⋻31550≧⫂∧⋰*⋻6484=⋰*⋻6094","layer":1},{"info":"⋰*⋻2A5A⪕⋰*⋻1A41=⋰*⋻4717","layer":3},{"info":"⋰*⋻4717⫠↝⫳=⋰*⋻1262A0","layer":2},{"info":"⋰*⋻1262A0⪎⩰=⋰*⋻-31","layer":1},{"info":"⋰*⋻6094∴⋰*⋻-31=⋰*⋻12436","layer":0}]}
{"id":766,"expression_no_base_symbol":"(($7219$⪄$2315$)↤⩊($3945$⪟⇏$2279$)⨚$6338$≁↽≥$2147$⫯⪬∳($1321$⨓$1032$))↳≱((≯$7368$↳≱$2854$)∀⇚≩($1063$⩇∃⫛$3221$)⋣⋖($1264$≭$2059$))","expression":"((⋰*⋻5473⪄⋰*⋻1815)↤⩊(⋰*⋻2A67⪟⇏⋰*⋻1792)⨚⋰*⋻4842≁↽≥⋰*⋻1682⫯⪬∳(⋰*⋻AA1⨓⋰*⋻859))↳≱((≯⋰*⋻5599↳≱⋰*⋻2165)∀⇚≩(⋰*⋻887⩇∃⫛⋰*⋻2469)⋣⋖(⋰*⋻A4A≭⋰*⋻1602))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1577,"operation_count":14,"complexity_ratio":112.64285714285714,"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":7219,"base":11},"right_expr":{"type":"numeric_atoms","value":2315,"base":11}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3945,"base":11},"right_expr":{"type":"numeric_atoms","value":2279,"base":11}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6338,"base":11},"right_expr":{"type":"numeric_atoms","value":2147,"base":11}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1321,"base":11},"right_expr":{"type":"numeric_atoms","value":1032,"base":11}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":7368,"base":11},"right_expr":{"type":"numeric_atoms","value":2854,"base":11}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1063,"base":11},"right_expr":{"type":"numeric_atoms","value":3221,"base":11}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1264,"base":11},"right_expr":{"type":"numeric_atoms","value":2059,"base":11}}}}},"used_operators":["JwTKLfZU96","nREPSIbpBE","13rbtpv6ld","SUmda5xLS4","GODebY97qR","d7ASUq0ydm","ncHt1X6cMc","3ViojmjbAp","LRNGc0VcxI","keWfFq85dY","J0M6qkBnIM","1aApVXNlOP","rxpJgHHUmx"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","BjRHVeLaeN","12rbrZMWeM","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","oWn0xqSxBt","3Oe9XWJUTD","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","g55IO6H4Gj","JLbD19bQDL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","AHs5Up7iyr"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7219","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=7219, right_input=2315, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1073761","layer":3},{"info":"number node, value=3945","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=2279, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-1073761, right_input=-1, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=6338","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=6338, right_input=2147, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=87944","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=1032, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1035","layer":3},{"info":"compute binary expreesion, left_input=87944, right_input=-1035, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=263899","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=263899, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=7368","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=7368, right_input=2854, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=3221, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2631","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=2059, 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=2631, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2631","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2631, 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=2631","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2631, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5473⪄⋰*⋻1815)↤⩊(⋰*⋻2A67⪟⇏⋰*⋻1792)⨚⋰*⋻4842≁↽≥⋰*⋻1682⫯⪬∳(⋰*⋻AA1⨓⋰*⋻859))↳≱((≯⋰*⋻5599↳≱⋰*⋻2165)∀⇚≩(⋰*⋻887⩇∃⫛⋰*⋻2469)⋣⋖(⋰*⋻A4A≭⋰*⋻1602))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻5473⪄⋰*⋻1815)↤⩊(⋰*⋻2A67⪟⇏⋰*⋻1792)⨚⋰*⋻4842≁↽≥⋰*⋻1682⫯⪬∳(⋰*⋻AA1⨓⋰*⋻859))↳≱((≯⋰*⋻5599↳≱⋰*⋻2165)∀⇚≩(⋰*⋻887⩇∃⫛⋰*⋻2469)⋣⋖(⋰*⋻A4A≭⋰*⋻1602))","cot":[{"info":"⋰*⋻5473⪄⋰*⋻1815=⋰*⋻-673807","layer":3},{"info":"⋰*⋻2A67⪟⇏⋰*⋻1792=⋰*⋻-1","layer":3},{"info":"⋰*⋻-673807↤⩊⋰*⋻-1=NaN","layer":2},{"info":"⋰*⋻4842≁↽≥⋰*⋻1682=⋰*⋻6008A","layer":3},{"info":"⋰*⋻AA1⨓⋰*⋻859=⋰*⋻-861","layer":3},{"info":"⋰*⋻6008A⫯⪬∳⋰*⋻-861=⋰*⋻1702A9","layer":2},{"info":"NaN⨚⋰*⋻1702A9=NaN","layer":1},{"info":"⋰*⋻5599↳≱⋰*⋻2165=⋰*⋻0","layer":3},{"info":"≯⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻887⩇∃⫛⋰*⋻2469=⋰*⋻1A82","layer":3},{"info":"⋰*⋻A4A≭⋰*⋻1602=NaN","layer":3},{"info":"⋰*⋻1A82⋣⋖NaN=⋰*⋻1A82","layer":2},{"info":"⋰*⋻0∀⇚≩⋰*⋻1A82=⋰*⋻1A82","layer":1},{"info":"NaN↳≱⋰*⋻1A82=⋰*⋻0","layer":0}]}
{"id":767,"expression_no_base_symbol":"(($2963$⨰$1035$)↼⊘⨖$3337$∥⊢⊲$7410$⪛⫼(⊈$2224$)⇄($4349$≀⩗∶$1026$))≬⇓(($2682$+⪬∐$1208$↡⊰⫅$2185$∼$1104$)⨉)","expression":"((⋰*⋻2254⨰⋰*⋻861)↼⊘⨖⋰*⋻2564∥⊢⊲⋰*⋻5627⪛⫼(⊈⋰*⋻1742)⇄(⋰*⋻32A4≀⩗∶⋰*⋻853))≬⇓((⋰*⋻2019+⪬∐⋰*⋻9A9↡⊰⫅⋰*⋻1707∼⋰*⋻914)⨉)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":172,"operation_count":12,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2963,"base":11},"right_expr":{"type":"numeric_atoms","value":1035,"base":11}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3337,"base":11},"right_expr":{"type":"numeric_atoms","value":7410,"base":11}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":2224,"base":11}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4349,"base":11},"right_expr":{"type":"numeric_atoms","value":1026,"base":11}}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2682,"base":11},"right_expr":{"type":"numeric_atoms","value":1208,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2185,"base":11},"right_expr":{"type":"numeric_atoms","value":1104,"base":11}}}}},"used_operators":["jWTQ2TZYIH","hyuBjUqXlG","bPywburJMS","eewbuw0ToL","v1UQAVDJRr","3EYGwJThht","RHru8klgy8","8INZBEW696","aMUSaJuDRU","VCtxkLNOzz","2GS7woTJqF","DyGG3AbaNP"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","12rbrZMWeM","xUOZtlo3hN","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","g55IO6H4Gj","D4vGDi5EA2","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋰*⋻-1181","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2963","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=1035, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1938","layer":3},{"info":"number node, value=3337","layer":4},{"info":"number node, value=7410","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=7410, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1938, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"number node, value=2224","layer":4},{"info":"compute unary expreesion, input=2224, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2398","layer":3},{"info":"number node, value=4349","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=4349, right_input=1026, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2398, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=484","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=484, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"number node, value=2682","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=2682, right_input=1208, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8046","layer":3},{"info":"number node, value=2185","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=1104, 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=-8046, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-1541","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2254⨰⋰*⋻861)↼⊘⨖⋰*⋻2564∥⊢⊲⋰*⋻5627⪛⫼(⊈⋰*⋻1742)⇄(⋰*⋻32A4≀⩗∶⋰*⋻853))≬⇓((⋰*⋻2019+⪬∐⋰*⋻9A9↡⊰⫅⋰*⋻1707∼⋰*⋻914)⨉)=⋰*⋻-1181","reverse_text":"⋰*⋻-1181=((⋰*⋻2254⨰⋰*⋻861)↼⊘⨖⋰*⋻2564∥⊢⊲⋰*⋻5627⪛⫼(⊈⋰*⋻1742)⇄(⋰*⋻32A4≀⩗∶⋰*⋻853))≬⇓((⋰*⋻2019+⪬∐⋰*⋻9A9↡⊰⫅⋰*⋻1707∼⋰*⋻914)⨉)","cot":[{"info":"⋰*⋻2254⨰⋰*⋻861=⋰*⋻1502","layer":3},{"info":"⋰*⋻2564∥⊢⊲⋰*⋻5627=NaN","layer":3},{"info":"⋰*⋻1502↼⊘⨖NaN=NaN","layer":2},{"info":"⊈⋰*⋻1742=⋰*⋻-1890","layer":3},{"info":"⋰*⋻32A4≀⩗∶⋰*⋻853=⋰*⋻0","layer":3},{"info":"⋰*⋻-1890⇄⋰*⋻0=⋰*⋻400","layer":2},{"info":"NaN⪛⫼⋰*⋻400=⋰*⋻800","layer":1},{"info":"⋰*⋻2019+⪬∐⋰*⋻9A9=⋰*⋻-6055","layer":3},{"info":"⋰*⋻1707∼⋰*⋻914=NaN","layer":3},{"info":"⋰*⋻-6055↡⊰⫅NaN=NaN","layer":2},{"info":"NaN⨉=NaN","layer":1},{"info":"⋰*⋻800≬⇓NaN=⋰*⋻-1181","layer":0}]}
{"id":768,"expression_no_base_symbol":"((∓⪦(⫖→$3935$))⨽(≀↧⇸$8316$)∣$3469$⪎↠$1370$)∀⇚≩((($3601$↰)⩤)⨸⪁(($2381$↙$4170$)⊵↤))","expression":"((∓⪦(⫖→⋰*⋻2A58))⨽(≀↧⇸⋰*⋻6280)∣⋰*⋻2674⪎↠⋰*⋻1036)∀⇚≩(((⋰*⋻2784↰)⩤)⨸⪁((⋰*⋻1875↙⋰*⋻3151)⊵↤))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9978,"operation_count":12,"complexity_ratio":831.5,"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":3935,"base":11}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":8316,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3469,"base":11},"right_expr":{"type":"numeric_atoms","value":1370,"base":11}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":3601,"base":11}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2381,"base":11},"right_expr":{"type":"numeric_atoms","value":4170,"base":11}}}}},"used_operators":["LRNGc0VcxI","8HhzD0ZcuI","D309nIvmXG","U4ylXWHChL","PPChnnnBFF","ljTHtUsqzn","3tVxb0NHM4","g55IO6H4Gj","Z2TMIBDE3Q","bl5wxAcryP","7IPrd9c3lf","yyfyN0ffXY"],"dependent_operators":["X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","XPYlsWDdGa","23Mk6UjR3U","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","Z2TMIBDE3Q","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3935","layer":4},{"info":"compute unary expreesion, input=3935, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-1588","layer":2},{"info":"number node, value=8316","layer":4},{"info":"compute unary expreesion, input=8316, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=16632","layer":3},{"info":"number node, value=3469","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=3469, right_input=1370, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=16632, right_input=160, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-15675","layer":2},{"info":"compute binary expreesion, left_input=-1588, right_input=-15675, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7516893","layer":1},{"info":"number node, value=3601","layer":4},{"info":"compute unary expreesion, input=3601, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=3500","layer":3},{"info":"compute unary expreesion, input=3500, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3500","layer":2},{"info":"number node, value=2381","layer":4},{"info":"number node, value=4170","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=4170, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12510","layer":3},{"info":"compute unary expreesion, input=-12510, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=74277","layer":2},{"info":"compute binary expreesion, left_input=-3500, right_input=74277, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=141554","layer":1},{"info":"compute binary expreesion, left_input=-7516893, right_input=141554, 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":11,"result_base":11,"text":"((∓⪦(⫖→⋰*⋻2A58))⨽(≀↧⇸⋰*⋻6280)∣⋰*⋻2674⪎↠⋰*⋻1036)∀⇚≩(((⋰*⋻2784↰)⩤)⨸⪁((⋰*⋻1875↙⋰*⋻3151)⊵↤))=NaN","reverse_text":"NaN=((∓⪦(⫖→⋰*⋻2A58))⨽(≀↧⇸⋰*⋻6280)∣⋰*⋻2674⪎↠⋰*⋻1036)∀⇚≩(((⋰*⋻2784↰)⩤)⨸⪁((⋰*⋻1875↙⋰*⋻3151)⊵↤))","cot":[{"info":"⫖→⋰*⋻2A58=⋰*⋻151","layer":3},{"info":"∓⪦⋰*⋻151=⋰*⋻-1214","layer":2},{"info":"≀↧⇸⋰*⋻6280=⋰*⋻11550","layer":3},{"info":"⋰*⋻2674⪎↠⋰*⋻1036=⋰*⋻136","layer":3},{"info":"⋰*⋻11550∣⋰*⋻136=⋰*⋻-10860","layer":2},{"info":"⋰*⋻-1214⨽⋰*⋻-10860=⋰*⋻-427460A","layer":1},{"info":"⋰*⋻2784↰=⋰*⋻26A2","layer":3},{"info":"⋰*⋻26A2⩤=⋰*⋻-26A2","layer":2},{"info":"⋰*⋻1875↙⋰*⋻3151=⋰*⋻-9443","layer":3},{"info":"⋰*⋻-9443⊵↤=⋰*⋻50895","layer":2},{"info":"⋰*⋻-26A2⨸⪁⋰*⋻50895=⋰*⋻97396","layer":1},{"info":"⋰*⋻-427460A∀⇚≩⋰*⋻97396=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"(($3036$≄⊠$2513$)↼⊘⨖($1089$⇪⋭))⨜⨶($2088$∘$1376$⪇≇⋚(⋂$1188$))⪥(($4209$⫒⫫$2591$)∊∟⩊(⩪∧⨌$7843$)⪔($2204$⊹∫⫚$5296$)⪢($3099$⪛$4370$))","expression":"((⋰*⋻2310≄⊠⋰*⋻1985)↼⊘⨖(⋰*⋻900⇪⋭))⨜⨶(⋰*⋻1629∘⋰*⋻1041⪇≇⋚(⋂⋰*⋻990))⪥((⋰*⋻3187⫒⫫⋰*⋻1A46)∊∟⩊(⩪∧⨌⋰*⋻5990)⪔(⋰*⋻1724⊹∫⫚⋰*⋻3A85)⪢(⋰*⋻2368⪛⋰*⋻3313))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3753,"operation_count":15,"complexity_ratio":250.2,"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":3036,"base":11},"right_expr":{"type":"numeric_atoms","value":2513,"base":11}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1089,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2088,"base":11},"right_expr":{"type":"numeric_atoms","value":1376,"base":11}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1188,"base":11}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4209,"base":11},"right_expr":{"type":"numeric_atoms","value":2591,"base":11}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":7843,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2204,"base":11},"right_expr":{"type":"numeric_atoms","value":5296,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3099,"base":11},"right_expr":{"type":"numeric_atoms","value":4370,"base":11}}}}},"used_operators":["QbnwKVWMIQ","HiPekx5b7W","bPywburJMS","vXNesLlMH1","Z8Yg6dlDSp","3sJ7IOPOlU","Z5m6OM72h2","BUOGQAYlQx","GjBEYRfMaF","ddLRYrp01A","6Ko8hGgeMq","6iOiAJX1F8","dWAJyo7jo9","uWAJUKEvyW","uFcxV4UQCh"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","k8jYdgA6NY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3036","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=2513, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=44876","layer":3},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=44876, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"number node, value=2088","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=1376, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4176","layer":3},{"info":"number node, value=1188","layer":4},{"info":"compute unary expreesion, input=1188, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-16036","layer":3},{"info":"compute binary expreesion, left_input=4176, right_input=-16036, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=4209","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=2591, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=7843","layer":4},{"info":"compute unary expreesion, input=7843, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=78430","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=78430, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=78430","layer":2},{"info":"number node, value=2204","layer":4},{"info":"number node, value=5296","layer":4},{"info":"compute binary expreesion, left_input=2204, right_input=5296, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-200","layer":3},{"info":"number node, value=3099","layer":4},{"info":"number node, value=4370","layer":4},{"info":"compute binary expreesion, left_input=3099, right_input=4370, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3099","layer":3},{"info":"compute binary expreesion, left_input=-200, right_input=3099, 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=78430, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2310≄⊠⋰*⋻1985)↼⊘⨖(⋰*⋻900⇪⋭))⨜⨶(⋰*⋻1629∘⋰*⋻1041⪇≇⋚(⋂⋰*⋻990))⪥((⋰*⋻3187⫒⫫⋰*⋻1A46)∊∟⩊(⩪∧⨌⋰*⋻5990)⪔(⋰*⋻1724⊹∫⫚⋰*⋻3A85)⪢(⋰*⋻2368⪛⋰*⋻3313))=NaN","reverse_text":"NaN=((⋰*⋻2310≄⊠⋰*⋻1985)↼⊘⨖(⋰*⋻900⇪⋭))⨜⨶(⋰*⋻1629∘⋰*⋻1041⪇≇⋚(⋂⋰*⋻990))⪥((⋰*⋻3187⫒⫫⋰*⋻1A46)∊∟⩊(⩪∧⨌⋰*⋻5990)⪔(⋰*⋻1724⊹∫⫚⋰*⋻3A85)⪢(⋰*⋻2368⪛⋰*⋻3313))","cot":[{"info":"⋰*⋻2310≄⊠⋰*⋻1985=⋰*⋻30797","layer":3},{"info":"⋰*⋻900⇪⋭=NaN","layer":3},{"info":"⋰*⋻30797↼⊘⨖NaN=NaN","layer":2},{"info":"⋰*⋻1629∘⋰*⋻1041=⋰*⋻3157","layer":3},{"info":"⋂⋰*⋻990=⋰*⋻-11059","layer":3},{"info":"⋰*⋻3157⪇≇⋚⋰*⋻-11059=⋰*⋻0","layer":2},{"info":"NaN⨜⨶⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻3187⫒⫫⋰*⋻1A46=NaN","layer":3},{"info":"⩪∧⨌⋰*⋻5990=⋰*⋻53A20","layer":3},{"info":"NaN∊∟⩊⋰*⋻53A20=⋰*⋻53A20","layer":2},{"info":"⋰*⋻1724⊹∫⫚⋰*⋻3A85=⋰*⋻-172","layer":3},{"info":"⋰*⋻2368⪛⋰*⋻3313=⋰*⋻2368","layer":3},{"info":"⋰*⋻-172⪢⋰*⋻2368=NaN","layer":2},{"info":"⋰*⋻53A20⪔NaN=NaN","layer":1},{"info":"NaN⪥NaN=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"(⊊≼∋((⪫⨮⊛$1540$)∘($1090$⊔$2920$)))⫠","expression":"(⊊≼∋((⪫⨮⊛⋰*⋻1180)∘(⋰*⋻901⊔⋰*⋻2215)))⫠","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":921831,"operation_count":5,"complexity_ratio":184366.2,"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":1540,"base":11}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1090,"base":11},"right_expr":{"type":"numeric_atoms","value":2920,"base":11}}}}},"used_operators":["6SnOT2rOjz","FWz7pXsQhA","Z5m6OM72h2","w5FWba1tyO","E4l6HwMY31"],"dependent_operators":["Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","B5M0gjZbta","jCPkEVoL5K","eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1540","layer":4},{"info":"compute unary expreesion, input=1540, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1090","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=2920, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=14380","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14380, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⊊≼∋((⪫⨮⊛⋰*⋻1180)∘(⋰*⋻901⊔⋰*⋻2215)))⫠=⋰*⋻0","reverse_text":"⋰*⋻0=(⊊≼∋((⪫⨮⊛⋰*⋻1180)∘(⋰*⋻901⊔⋰*⋻2215)))⫠","cot":[{"info":"⪫⨮⊛⋰*⋻1180=NaN","layer":3},{"info":"⋰*⋻901⊔⋰*⋻2215=⋰*⋻A893","layer":3},{"info":"NaN∘⋰*⋻A893=NaN","layer":2},{"info":"⊊≼∋NaN=NaN","layer":1},{"info":"NaN⫠=⋰*⋻0","layer":0}]}
{"id":771,"expression_no_base_symbol":"($2099$⪶≀⋏$1479$↡⊰⫅$3824$⫁⪎$4153$)⩦($3380$⫞⩸⩒$4160$⊭↱($2893$⊚⫡⫭))⪎⩰","expression":"(⋰*⋻1639⪶≀⋏⋰*⋻1125↡⊰⫅⋰*⋻2967⫁⪎⋰*⋻3136)⩦(⋰*⋻25A3⫞⩸⩒⋰*⋻3142⊭↱(⋰*⋻21A0⊚⫡⫭))⪎⩰","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4721,"operation_count":8,"complexity_ratio":590.125,"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":2099,"base":11},"right_expr":{"type":"numeric_atoms","value":1479,"base":11}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3824,"base":11},"right_expr":{"type":"numeric_atoms","value":4153,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3380,"base":11},"right_expr":{"type":"numeric_atoms","value":4160,"base":11}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":2893,"base":11}}}}},"used_operators":["2ufhKmSs5H","0kmYd0q39Y","VCtxkLNOzz","zR4jO40bMj","xRrnTEsQ6j","COABgblf1C","XGcMNugi78","SpZWOsLKZJ"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2099","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=2099, right_input=1479, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-9487","layer":3},{"info":"number node, value=3824","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=4153, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-329","layer":3},{"info":"compute binary expreesion, left_input=-9487, right_input=-329, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=3380","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=4160, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4160","layer":3},{"info":"number node, value=2893","layer":4},{"info":"compute unary expreesion, input=2893, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-4860","layer":3},{"info":"compute binary expreesion, left_input=4160, right_input=-4860, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-18035","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18035, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1639⪶≀⋏⋰*⋻1125↡⊰⫅⋰*⋻2967⫁⪎⋰*⋻3136)⩦(⋰*⋻25A3⫞⩸⩒⋰*⋻3142⊭↱(⋰*⋻21A0⊚⫡⫭))⪎⩰=NaN","reverse_text":"NaN=(⋰*⋻1639⪶≀⋏⋰*⋻1125↡⊰⫅⋰*⋻2967⫁⪎⋰*⋻3136)⩦(⋰*⋻25A3⫞⩸⩒⋰*⋻3142⊭↱(⋰*⋻21A0⊚⫡⫭))⪎⩰","cot":[{"info":"⋰*⋻1639⪶≀⋏⋰*⋻1125=⋰*⋻-7145","layer":3},{"info":"⋰*⋻2967⫁⪎⋰*⋻3136=⋰*⋻-27A","layer":3},{"info":"⋰*⋻-7145↡⊰⫅⋰*⋻-27A=NaN","layer":2},{"info":"⋰*⋻25A3⫞⩸⩒⋰*⋻3142=⋰*⋻3142","layer":3},{"info":"⋰*⋻21A0⊚⫡⫭=⋰*⋻-3719","layer":3},{"info":"⋰*⋻3142⊭↱⋰*⋻-3719=⋰*⋻-12606","layer":2},{"info":"NaN⩦⋰*⋻-12606=NaN","layer":1},{"info":"NaN⪎⩰=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"(($4763$↱$5825$)∣$3418$⪝$1612$)⪟⇏($3037$≀⫉$2409$∷$4665$⊬⨰$2201$)⊹∫⫚(⩦⩻⨪($1133$⫸⊐$1592$))⫲≸⪮($4302$⨸$2063$+⇶⊼$4498$⊬⨰$1400$)","expression":"((⋰*⋻3640↱⋰*⋻4416)∣⋰*⋻2628⪝⋰*⋻1236)⪟⇏(⋰*⋻2311≀⫉⋰*⋻18A0∷⋰*⋻3561⊬⨰⋰*⋻1721)⊹∫⫚(⩦⩻⨪(⋰*⋻940⫸⊐⋰*⋻1218))⫲≸⪮(⋰*⋻3261⨸⋰*⋻1606+⇶⊼⋰*⋻341A⊬⨰⋰*⋻1063)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11440,"operation_count":14,"complexity_ratio":817.1428571428571,"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":4763,"base":11},"right_expr":{"type":"numeric_atoms","value":5825,"base":11}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3418,"base":11},"right_expr":{"type":"numeric_atoms","value":1612,"base":11}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3037,"base":11},"right_expr":{"type":"numeric_atoms","value":2409,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4665,"base":11},"right_expr":{"type":"numeric_atoms","value":2201,"base":11}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1133,"base":11},"right_expr":{"type":"numeric_atoms","value":1592,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4302,"base":11},"right_expr":{"type":"numeric_atoms","value":2063,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4498,"base":11},"right_expr":{"type":"numeric_atoms","value":1400,"base":11}}}}},"used_operators":["uWAJUKEvyW","GODebY97qR","PPChnnnBFF","SR5kFfdi6N","wicAB68Tmb","D3AQDKkPcf","oZj3VtZNQx","s3Fd5m9Dh2","P3lXMJvFrc","2td37pGCOC","mqXw5SEYmG","TpPTUOHfaN","KmoU8R5UQR"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⋰*⋻-309","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4763","layer":4},{"info":"number node, value=5825","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=5825, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-16953","layer":3},{"info":"number node, value=3418","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=3418, right_input=1612, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7623","layer":3},{"info":"compute binary expreesion, left_input=-16953, right_input=-7623, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=17437","layer":2},{"info":"number node, value=3037","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=2409, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4665","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=4665, right_input=2201, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12413","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=12413, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=12413","layer":2},{"info":"compute binary expreesion, left_input=17437, right_input=12413, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=1133","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1592, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6243","layer":3},{"info":"compute unary expreesion, input=6243, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6243","layer":2},{"info":"number node, value=4302","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=2063, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8604","layer":3},{"info":"number node, value=4498","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=4498, right_input=1400, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9042","layer":3},{"info":"compute binary expreesion, left_input=8604, right_input=9042, 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=6243, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6243","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=6243, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-372","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3640↱⋰*⋻4416)∣⋰*⋻2628⪝⋰*⋻1236)⪟⇏(⋰*⋻2311≀⫉⋰*⋻18A0∷⋰*⋻3561⊬⨰⋰*⋻1721)⊹∫⫚(⩦⩻⨪(⋰*⋻940⫸⊐⋰*⋻1218))⫲≸⪮(⋰*⋻3261⨸⋰*⋻1606+⇶⊼⋰*⋻341A⊬⨰⋰*⋻1063)=⋰*⋻-309","reverse_text":"⋰*⋻-309=((⋰*⋻3640↱⋰*⋻4416)∣⋰*⋻2628⪝⋰*⋻1236)⪟⇏(⋰*⋻2311≀⫉⋰*⋻18A0∷⋰*⋻3561⊬⨰⋰*⋻1721)⊹∫⫚(⩦⩻⨪(⋰*⋻940⫸⊐⋰*⋻1218))⫲≸⪮(⋰*⋻3261⨸⋰*⋻1606+⇶⊼⋰*⋻341A⊬⨰⋰*⋻1063)","cot":[{"info":"⋰*⋻3640↱⋰*⋻4416=⋰*⋻-11812","layer":3},{"info":"⋰*⋻2628⪝⋰*⋻1236=⋰*⋻-5800","layer":3},{"info":"⋰*⋻-11812∣⋰*⋻-5800=⋰*⋻12112","layer":2},{"info":"⋰*⋻2311≀⫉⋰*⋻18A0=⋰*⋻2136","layer":3},{"info":"⋰*⋻3561⊬⨰⋰*⋻1721=⋰*⋻9365","layer":3},{"info":"⋰*⋻2136∷⋰*⋻9365=⋰*⋻9365","layer":2},{"info":"⋰*⋻12112⪟⇏⋰*⋻9365=⋰*⋻-1","layer":1},{"info":"⋰*⋻940⫸⊐⋰*⋻1218=⋰*⋻4766","layer":3},{"info":"⩦⩻⨪⋰*⋻4766=⋰*⋻4766","layer":2},{"info":"⋰*⋻3261⨸⋰*⋻1606=⋰*⋻6512","layer":3},{"info":"⋰*⋻341A⊬⨰⋰*⋻1063=⋰*⋻6880","layer":3},{"info":"⋰*⋻6512+⇶⊼⋰*⋻6880=NaN","layer":2},{"info":"⋰*⋻4766⫲≸⪮NaN=⋰*⋻4766","layer":1},{"info":"⋰*⋻-1⊹∫⫚⋰*⋻4766=⋰*⋻-309","layer":0}]}
{"id":773,"expression_no_base_symbol":"↩⪖(($3745$⊲⩕⊾$1312$⊲⩕⊾($5832$⫰⋱$4011$))⋛($3296$⊹∫⫚$3798$⨸⪁($1342$⇟⨁⪰)))","expression":"↩⪖((⋰*⋻28A5⊲⩕⊾⋰*⋻A93⊲⩕⊾(⋰*⋻4422⫰⋱⋰*⋻3017))⋛(⋰*⋻2527⊹∫⫚⋰*⋻2943⨸⪁(⋰*⋻1010⇟⨁⪰)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":199,"operation_count":8,"complexity_ratio":24.875,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3745,"base":11},"right_expr":{"type":"numeric_atoms","value":1312,"base":11}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":5832,"base":11},"right_expr":{"type":"numeric_atoms","value":4011,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3296,"base":11},"right_expr":{"type":"numeric_atoms","value":3798,"base":11}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1342,"base":11}}}}},"used_operators":["fG6uBQFnGz","YbUVn0Rbpy","DmTXOeWf9t","6o9Blt3TJ6","g55IO6H4Gj","uWAJUKEvyW","BX1lVwlMe0"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2DDjHMKMc0","xUOZtlo3hN"],"result":"⋰*⋻94168","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3745","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=3745, right_input=1312, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-69670","layer":3},{"info":"number node, value=5832","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=5832, right_input=4011, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5799","layer":3},{"info":"compute binary expreesion, left_input=-69670, right_input=-5799, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-49540","layer":2},{"info":"number node, value=3296","layer":4},{"info":"number node, value=3798","layer":4},{"info":"compute binary expreesion, left_input=3296, right_input=3798, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-252","layer":3},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1516","layer":3},{"info":"compute binary expreesion, left_input=-252, right_input=-1516, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-3536","layer":2},{"info":"compute binary expreesion, left_input=-49540, right_input=-3536, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-9963","layer":1},{"info":"compute unary expreesion, input=-9963, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=137288","layer":0}],"base":11,"result_base":11,"text":"↩⪖((⋰*⋻28A5⊲⩕⊾⋰*⋻A93⊲⩕⊾(⋰*⋻4422⫰⋱⋰*⋻3017))⋛(⋰*⋻2527⊹∫⫚⋰*⋻2943⨸⪁(⋰*⋻1010⇟⨁⪰)))=⋰*⋻94168","reverse_text":"⋰*⋻94168=↩⪖((⋰*⋻28A5⊲⩕⊾⋰*⋻A93⊲⩕⊾(⋰*⋻4422⫰⋱⋰*⋻3017))⋛(⋰*⋻2527⊹∫⫚⋰*⋻2943⨸⪁(⋰*⋻1010⇟⨁⪰)))","cot":[{"info":"⋰*⋻28A5⊲⩕⊾⋰*⋻A93=⋰*⋻-48387","layer":3},{"info":"⋰*⋻4422⫰⋱⋰*⋻3017=⋰*⋻-43A2","layer":3},{"info":"⋰*⋻-48387⊲⩕⊾⋰*⋻-43A2=⋰*⋻-34247","layer":2},{"info":"⋰*⋻2527⊹∫⫚⋰*⋻2943=⋰*⋻-20A","layer":3},{"info":"⋰*⋻1010⇟⨁⪰=⋰*⋻-1159","layer":3},{"info":"⋰*⋻-20A⨸⪁⋰*⋻-1159=⋰*⋻-2725","layer":2},{"info":"⋰*⋻-34247⋛⋰*⋻-2725=⋰*⋻-7538","layer":1},{"info":"↩⪖⋰*⋻-7538=⋰*⋻94168","layer":0}]}
{"id":774,"expression_no_base_symbol":"(⊗($3111$⨔≚≋$1349$))≁(($1573$⪨⊡$3268$)⨔⇊(⇐$1520$))↬(≻⋜(⫖→$1287$⊲⩕⊾$3469$))","expression":"(⊗(⋰*⋻2379⨔≚≋⋰*⋻1017))≁((⋰*⋻1200⪨⊡⋰*⋻2501)⨔⇊(⇐⋰*⋻1162))↬(≻⋜(⫖→⋰*⋻A70⊲⩕⊾⋰*⋻2674))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":53615,"operation_count":10,"complexity_ratio":5361.5,"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":3111,"base":11},"right_expr":{"type":"numeric_atoms","value":1349,"base":11}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1573,"base":11},"right_expr":{"type":"numeric_atoms","value":3268,"base":11}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1520,"base":11}}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1287,"base":11},"right_expr":{"type":"numeric_atoms","value":3469,"base":11}}}}},"used_operators":["B5M0gjZbta","8N2wDY1A35","RhiyfpczSx","Z57zeUYC9z","JclMnS0uGI","kuIXHzHcAH","nmZMaaE0Q9","3tj9sqzovi","U4ylXWHChL","DmTXOeWf9t"],"dependent_operators":["rGHVDoGpnC","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3111","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=3111, right_input=1349, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-19744","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=3268, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1520","layer":4},{"info":"compute unary expreesion, input=1520, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=558","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=558, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=558","layer":2},{"info":"compute binary expreesion, left_input=-19744, right_input=558, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=191","layer":1},{"info":"number node, value=1287","layer":4},{"info":"number node, value=3469","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=3469, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-51912","layer":3},{"info":"compute unary expreesion, input=-51912, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=191, 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":11,"result_base":11,"text":"(⊗(⋰*⋻2379⨔≚≋⋰*⋻1017))≁((⋰*⋻1200⪨⊡⋰*⋻2501)⨔⇊(⇐⋰*⋻1162))↬(≻⋜(⫖→⋰*⋻A70⊲⩕⊾⋰*⋻2674))=NaN","reverse_text":"NaN=(⊗(⋰*⋻2379⨔≚≋⋰*⋻1017))≁((⋰*⋻1200⪨⊡⋰*⋻2501)⨔⇊(⇐⋰*⋻1162))↬(≻⋜(⫖→⋰*⋻A70⊲⩕⊾⋰*⋻2674))","cot":[{"info":"⋰*⋻2379⨔≚≋⋰*⋻1017=⋰*⋻7465","layer":3},{"info":"⊗⋰*⋻7465=⋰*⋻-1391A","layer":2},{"info":"⋰*⋻1200⪨⊡⋰*⋻2501=⋰*⋻0","layer":3},{"info":"⇐⋰*⋻1162=⋰*⋻468","layer":3},{"info":"⋰*⋻0⨔⇊⋰*⋻468=⋰*⋻468","layer":2},{"info":"⋰*⋻-1391A≁⋰*⋻468=⋰*⋻164","layer":1},{"info":"⋰*⋻A70⊲⩕⊾⋰*⋻2674=⋰*⋻-36003","layer":3},{"info":"⫖→⋰*⋻-36003=⋰*⋻151","layer":2},{"info":"≻⋜⋰*⋻151=NaN","layer":1},{"info":"⋰*⋻164↬NaN=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"(⇜⊴$4205$⨂≜$4174$)⪒⊣⊆((↣≠⋷$8166$)≚⊃≕($4517$↸$1708$))∋(($5827$⪨≂$2328$)⪘⫢(≸$3913$)⊨(($3396$⊭∹↮)⩱))","expression":"(⇜⊴⋰*⋻3183⨂≜⋰*⋻3155)⪒⊣⊆((↣≠⋷⋰*⋻6154)≚⊃≕(⋰*⋻3437↸⋰*⋻1313))∋((⋰*⋻4418⪨≂⋰*⋻1827)⪘⫢(≸⋰*⋻2A38)⊨((⋰*⋻2608⊭∹↮)⩱))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6266,"operation_count":13,"complexity_ratio":482.0,"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":4205,"base":11},"right_expr":{"type":"numeric_atoms","value":4174,"base":11}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8166,"base":11}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4517,"base":11},"right_expr":{"type":"numeric_atoms","value":1708,"base":11}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5827,"base":11},"right_expr":{"type":"numeric_atoms","value":2328,"base":11}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3913,"base":11}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3396,"base":11}}}}},"used_operators":["ukq6epAj5P","eRqsBgTDFp","XwDhCwWbUn","k1SHOSEABc","Bmrmz2XGnR","Asc51vEJeQ","1eCjFl0mb9","vg4gO5BX6G","oacrs7FA3X","sdazOOVcIp","eOf03JbCpp","uyq1hVkAcj","xNBdhnnwKq"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","sdazOOVcIp","W4YGzv6Whe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4205","layer":4},{"info":"number node, value=4174","layer":4},{"info":"compute binary expreesion, left_input=4205, right_input=4174, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":2},{"info":"number node, value=8166","layer":4},{"info":"compute unary expreesion, input=8166, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4517","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=4517, right_input=1708, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4517","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4517, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"number node, value=5827","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=5827, right_input=2328, 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=7100","layer":3},{"info":"number node, value=3913","layer":4},{"info":"compute unary expreesion, input=3913, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=7100, right_input=58, 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=3396","layer":4},{"info":"compute unary expreesion, input=3396, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6792","layer":3},{"info":"compute unary expreesion, input=6792, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-41002","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-41002, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇜⊴⋰*⋻3183⨂≜⋰*⋻3155)⪒⊣⊆((↣≠⋷⋰*⋻6154)≚⊃≕(⋰*⋻3437↸⋰*⋻1313))∋((⋰*⋻4418⪨≂⋰*⋻1827)⪘⫢(≸⋰*⋻2A38)⊨((⋰*⋻2608⊭∹↮)⩱))=NaN","reverse_text":"NaN=(⇜⊴⋰*⋻3183⨂≜⋰*⋻3155)⪒⊣⊆((↣≠⋷⋰*⋻6154)≚⊃≕(⋰*⋻3437↸⋰*⋻1313))∋((⋰*⋻4418⪨≂⋰*⋻1827)⪘⫢(≸⋰*⋻2A38)⊨((⋰*⋻2608⊭∹↮)⩱))","cot":[{"info":"⋰*⋻3183⨂≜⋰*⋻3155=NaN","layer":3},{"info":"⇜⊴NaN=NaN","layer":2},{"info":"↣≠⋷⋰*⋻6154=NaN","layer":3},{"info":"⋰*⋻3437↸⋰*⋻1313=⋰*⋻3437","layer":3},{"info":"NaN≚⊃≕⋰*⋻3437=⋰*⋻61","layer":2},{"info":"NaN⪒⊣⊆⋰*⋻61=NaN","layer":1},{"info":"⋰*⋻4418⪨≂⋰*⋻1827=⋰*⋻5375","layer":3},{"info":"≸⋰*⋻2A38=⋰*⋻53","layer":3},{"info":"⋰*⋻5375⪘⫢⋰*⋻53=⋰*⋻0","layer":2},{"info":"⋰*⋻2608⊭∹↮=⋰*⋻5115","layer":3},{"info":"⋰*⋻5115⩱=⋰*⋻-28895","layer":2},{"info":"⋰*⋻0⊨⋰*⋻-28895=⋰*⋻-149","layer":1},{"info":"NaN∋⋰*⋻-149=NaN","layer":0}]}
{"id":776,"expression_no_base_symbol":"($7979$⋹⋡⊁$3592$↱($2759$⫭)⩨(⇵⪽$8188$)⪕$1005$⩘$1395$)↺(⩪∧⨌$3031$⫁⪎$3654$⋥≓≎$1409$⇤$4329$)","expression":"(⋰*⋻5AA4⋹⋡⊁⋰*⋻2776↱(⋰*⋻2089⫭)⩨(⇵⪽⋰*⋻6174)⪕⋰*⋻834⩘⋰*⋻1059)↺(⩪∧⨌⋰*⋻2306⫁⪎⋰*⋻2822⋥≓≎⋰*⋻1071⇤⋰*⋻3286)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62741,"operation_count":12,"complexity_ratio":5228.416666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7979,"base":11},"right_expr":{"type":"numeric_atoms","value":3592,"base":11}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":2759,"base":11}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":8188,"base":11}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":1395,"base":11}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3031,"base":11},"right_expr":{"type":"numeric_atoms","value":3654,"base":11}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1409,"base":11},"right_expr":{"type":"numeric_atoms","value":4329,"base":11}}}}},"used_operators":["7j4O788W3g","2DlMacCsIx","SR5kFfdi6N","As8RqfVLgs","t4WUHVGj7f","umQnsF7QlU","ZGCBLdVRRX","cHh1gJQ2o6","6iOiAJX1F8","Qy55tPpLXF","xRrnTEsQ6j","YSKBFp38Pu"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","U7g4x0WXJJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⋰*⋻55A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7979","layer":4},{"info":"number node, value=3592","layer":4},{"info":"compute binary expreesion, left_input=7979, right_input=3592, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4342","layer":3},{"info":"number node, value=2759","layer":4},{"info":"compute unary expreesion, input=2759, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=8518","layer":3},{"info":"compute binary expreesion, left_input=4342, right_input=8518, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-25032","layer":2},{"info":"number node, value=8188","layer":4},{"info":"compute unary expreesion, input=8188, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1395, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-25032, 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=3031","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=3031, right_input=3654, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-623","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=4329, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-25842","layer":3},{"info":"compute binary expreesion, left_input=-623, right_input=-25842, 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 = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=670","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=670, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=670","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻5AA4⋹⋡⊁⋰*⋻2776↱(⋰*⋻2089⫭)⩨(⇵⪽⋰*⋻6174)⪕⋰*⋻834⩘⋰*⋻1059)↺(⩪∧⨌⋰*⋻2306⫁⪎⋰*⋻2822⋥≓≎⋰*⋻1071⇤⋰*⋻3286)=⋰*⋻55A","reverse_text":"⋰*⋻55A=(⋰*⋻5AA4⋹⋡⊁⋰*⋻2776↱(⋰*⋻2089⫭)⩨(⇵⪽⋰*⋻6174)⪕⋰*⋻834⩘⋰*⋻1059)↺(⩪∧⨌⋰*⋻2306⫁⪎⋰*⋻2822⋥≓≎⋰*⋻1071⇤⋰*⋻3286)","cot":[{"info":"⋰*⋻5AA4⋹⋡⊁⋰*⋻2776=⋰*⋻3298","layer":3},{"info":"⋰*⋻2089⫭=⋰*⋻6444","layer":3},{"info":"⋰*⋻3298↱⋰*⋻6444=⋰*⋻-17897","layer":2},{"info":"⇵⪽⋰*⋻6174=NaN","layer":3},{"info":"⋰*⋻834⩘⋰*⋻1059=⋰*⋻136","layer":3},{"info":"NaN⪕⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻-17897⩨NaN=NaN","layer":1},{"info":"⋰*⋻2306⫁⪎⋰*⋻2822=⋰*⋻-517","layer":3},{"info":"⋰*⋻1071⇤⋰*⋻3286=⋰*⋻-18463","layer":3},{"info":"⋰*⋻-517⋥≓≎⋰*⋻-18463=⋰*⋻61","layer":2},{"info":"⩪∧⨌⋰*⋻61=⋰*⋻55A","layer":1},{"info":"NaN↺⋰*⋻55A=⋰*⋻55A","layer":0}]}
{"id":777,"expression_no_base_symbol":"(($1613$∁)⇂≾⫗($5003$∣$3351$)∙∹∝($2493$⊦⊿)≝⊿($6818$⊢))⨳⩥⨓($5667$∙∹∝$3154$)⇄$2233$⋕⪉⪜$3386$≃($1602$⇌⫙⪟$1756$≬⋮(↨$1550$))","expression":"((⋰*⋻1237∁)⇂≾⫗(⋰*⋻3839∣⋰*⋻2577)∙∹∝(⋰*⋻1967⊦⊿)≝⊿(⋰*⋻5139⊢))⨳⩥⨓(⋰*⋻4292∙∹∝⋰*⋻2408)⇄⋰*⋻1750⋕⪉⪜⋰*⋻25A9≃(⋰*⋻1227⇌⫙⪟⋰*⋻1357≬⋮(↨⋰*⋻118A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":338,"operation_count":15,"complexity_ratio":22.533333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1613,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5003,"base":11},"right_expr":{"type":"numeric_atoms","value":3351,"base":11}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2493,"base":11}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":6818,"base":11}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5667,"base":11},"right_expr":{"type":"numeric_atoms","value":3154,"base":11}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2233,"base":11},"right_expr":{"type":"numeric_atoms","value":3386,"base":11}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1602,"base":11},"right_expr":{"type":"numeric_atoms","value":1756,"base":11}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1550,"base":11}}}}},"used_operators":["nCS4ZIUYfx","HmxsFra2vL","aBQ6xLxuTc","jdwGQqwJi5","PPChnnnBFF","OKKcZfAt5B","14qkJME0vr","40aOVDgCDB","YbVcJGFEVW","3EYGwJThht","z6LnFrNh4i","kbkesczE7y","AFVx7xoS7T","jiX4gk2v2Q"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","2DDjHMKMc0","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1613","layer":3},{"info":"number node, value=5003","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=5003, right_input=3351, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5003","layer":3},{"info":"compute binary expreesion, left_input=1613, right_input=5003, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=2493","layer":4},{"info":"compute unary expreesion, input=2493, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7558","layer":3},{"info":"number node, value=6818","layer":4},{"info":"compute unary expreesion, input=6818, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-7065","layer":3},{"info":"compute binary expreesion, left_input=-7558, right_input=-7065, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=21155","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=21155, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=5667","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=5667, right_input=3154, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2233","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=3386, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=204, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=280","layer":2},{"info":"number node, value=1602","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=1756, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=280, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1237∁)⇂≾⫗(⋰*⋻3839∣⋰*⋻2577)∙∹∝(⋰*⋻1967⊦⊿)≝⊿(⋰*⋻5139⊢))⨳⩥⨓(⋰*⋻4292∙∹∝⋰*⋻2408)⇄⋰*⋻1750⋕⪉⪜⋰*⋻25A9≃(⋰*⋻1227⇌⫙⪟⋰*⋻1357≬⋮(↨⋰*⋻118A))=NaN","reverse_text":"NaN=((⋰*⋻1237∁)⇂≾⫗(⋰*⋻3839∣⋰*⋻2577)∙∹∝(⋰*⋻1967⊦⊿)≝⊿(⋰*⋻5139⊢))⨳⩥⨓(⋰*⋻4292∙∹∝⋰*⋻2408)⇄⋰*⋻1750⋕⪉⪜⋰*⋻25A9≃(⋰*⋻1227⇌⫙⪟⋰*⋻1357≬⋮(↨⋰*⋻118A))","cot":[{"info":"⋰*⋻1237∁=⋰*⋻1237","layer":3},{"info":"⋰*⋻3839∣⋰*⋻2577=⋰*⋻3839","layer":3},{"info":"⋰*⋻1237⇂≾⫗⋰*⋻3839=⋰*⋻-565","layer":2},{"info":"⋰*⋻1967⊦⊿=⋰*⋻-5751","layer":3},{"info":"⋰*⋻5139⊢=⋰*⋻-5343","layer":3},{"info":"⋰*⋻-5751≝⊿⋰*⋻-5343=⋰*⋻14992","layer":2},{"info":"⋰*⋻-565∙∹∝⋰*⋻14992=⋰*⋻0","layer":1},{"info":"⋰*⋻4292∙∹∝⋰*⋻2408=⋰*⋻0","layer":3},{"info":"⋰*⋻1750⋕⪉⪜⋰*⋻25A9=⋰*⋻176","layer":3},{"info":"⋰*⋻0⇄⋰*⋻176=⋰*⋻235","layer":2},{"info":"⋰*⋻1227⇌⫙⪟⋰*⋻1357=⋰*⋻A3","layer":3},{"info":"↨⋰*⋻118A=NaN","layer":3},{"info":"⋰*⋻A3≬⋮NaN=NaN","layer":2},{"info":"⋰*⋻235≃NaN=NaN","layer":1},{"info":"⋰*⋻0⨳⩥⨓NaN=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"($6051$⇂≾⫗$1591$⋅⇍$4699$↞⋁$5327$)⨫⇇↔(($6099$∧)⋥≓≎($2298$⋷$1045$))≃(($1548$⪨≂$2863$)⋩≍≻)⫒⫫(⇨($2045$⨸⪁$4563$))","expression":"(⋰*⋻4601⇂≾⫗⋰*⋻1217⋅⇍⋰*⋻3592↞⋁⋰*⋻4003)⨫⇇↔((⋰*⋻4645∧)⋥≓≎(⋰*⋻17AA⋷⋰*⋻870))≃((⋰*⋻1188⪨≂⋰*⋻2173)⋩≍≻)⫒⫫(⇨(⋰*⋻159A⨸⪁⋰*⋻3479))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":342,"operation_count":13,"complexity_ratio":26.307692307692307,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":6051,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4699,"base":11},"right_expr":{"type":"numeric_atoms","value":5327,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6099,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2298,"base":11},"right_expr":{"type":"numeric_atoms","value":1045,"base":11}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1548,"base":11},"right_expr":{"type":"numeric_atoms","value":2863,"base":11}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2045,"base":11},"right_expr":{"type":"numeric_atoms","value":4563,"base":11}}}}},"used_operators":["YbVcJGFEVW","LXhwmt4mBO","AdZkA7nFnk","aBQ6xLxuTc","RqrPlJkxDo","Qy55tPpLXF","z63VuFQld9","23Mk6UjR3U","6Ko8hGgeMq","WYd1w68Nbz","sdazOOVcIp","G9tJMlZ94a","g55IO6H4Gj"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe"],"result":"⋰*⋻860","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6051","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=6051, right_input=1591, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=4699","layer":4},{"info":"number node, value=5327","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=5327, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=103","layer":2},{"info":"number node, value=6099","layer":4},{"info":"compute unary expreesion, input=6099, 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=2298","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=1045, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-208","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-208, 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=103, right_input=67, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=1548","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=2863, 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=-2528","layer":3},{"info":"compute unary expreesion, input=-2528, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-9609","layer":2},{"info":"number node, value=2045","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=4563, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13216","layer":3},{"info":"compute unary expreesion, input=13216, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-9609, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=48081","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=48081, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=1034","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4601⇂≾⫗⋰*⋻1217⋅⇍⋰*⋻3592↞⋁⋰*⋻4003)⨫⇇↔((⋰*⋻4645∧)⋥≓≎(⋰*⋻17AA⋷⋰*⋻870))≃((⋰*⋻1188⪨≂⋰*⋻2173)⋩≍≻)⫒⫫(⇨(⋰*⋻159A⨸⪁⋰*⋻3479))=⋰*⋻860","reverse_text":"⋰*⋻860=(⋰*⋻4601⇂≾⫗⋰*⋻1217⋅⇍⋰*⋻3592↞⋁⋰*⋻4003)⨫⇇↔((⋰*⋻4645∧)⋥≓≎(⋰*⋻17AA⋷⋰*⋻870))≃((⋰*⋻1188⪨≂⋰*⋻2173)⋩≍≻)⫒⫫(⇨(⋰*⋻159A⨸⪁⋰*⋻3479))","cot":[{"info":"⋰*⋻4601⇂≾⫗⋰*⋻1217=⋰*⋻-565","layer":3},{"info":"⋰*⋻3592↞⋁⋰*⋻4003=NaN","layer":3},{"info":"⋰*⋻-565⋅⇍NaN=⋰*⋻94","layer":2},{"info":"⋰*⋻4645∧=NaN","layer":3},{"info":"⋰*⋻17AA⋷⋰*⋻870=⋰*⋻-17A","layer":3},{"info":"NaN⋥≓≎⋰*⋻-17A=⋰*⋻61","layer":2},{"info":"⋰*⋻94⨫⇇↔⋰*⋻61=⋰*⋻-43A","layer":1},{"info":"⋰*⋻1188⪨≂⋰*⋻2173=⋰*⋻-1999","layer":3},{"info":"⋰*⋻-1999⋩≍≻=⋰*⋻-7246","layer":2},{"info":"⋰*⋻159A⨸⪁⋰*⋻3479=⋰*⋻9A25","layer":3},{"info":"⇨⋰*⋻9A25=⋰*⋻0","layer":2},{"info":"⋰*⋻-7246⫒⫫⋰*⋻0=⋰*⋻33140","layer":1},{"info":"⋰*⋻-43A≃⋰*⋻33140=⋰*⋻860","layer":0}]}
{"id":779,"expression_no_base_symbol":"(($7536$⩍⋽⫝̸$1081$)⩼⇪↪($1746$+⇶⊼$3169$)⫒⫫(($5018$∠↢$1080$)+⇶⊼(⇋⊎⋝$1924$)))≦↸(($1579$→⨶⪴$1912$⊓⋫)⪕((⨩∲⋌$2087$)⋅⇍$8024$⪎↠$5662$))","expression":"((⋰*⋻5731⩍⋽⫝̸⋰*⋻8A3)⩼⇪↪(⋰*⋻1348+⇶⊼⋰*⋻2421)⫒⫫((⋰*⋻3852∠↢⋰*⋻8A2)+⇶⊼(⇋⊎⋝⋰*⋻149A)))≦↸((⋰*⋻1206→⨶⪴⋰*⋻1489⊓⋫)⪕((⨩∲⋌⋰*⋻1628)⋅⇍⋰*⋻6035⪎↠⋰*⋻4288))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2052,"operation_count":14,"complexity_ratio":146.57142857142858,"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":7536,"base":11},"right_expr":{"type":"numeric_atoms","value":1081,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1746,"base":11},"right_expr":{"type":"numeric_atoms","value":3169,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":5018,"base":11},"right_expr":{"type":"numeric_atoms","value":1080,"base":11}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1924,"base":11}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1579,"base":11},"right_expr":{"type":"numeric_atoms","value":1912,"base":11}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2087,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":8024,"base":11},"right_expr":{"type":"numeric_atoms","value":5662,"base":11}}}}},"used_operators":["RygbFNSyEJ","6Ko8hGgeMq","ocnLzx9CaJ","BiWNJpBvwn","TpPTUOHfaN","KbjG8mgYpV","CzM2PEoXns","umQnsF7QlU","IqGBaFP0uj","bF6eod5Gvf","AdZkA7nFnk","aSik1wnThz","3tVxb0NHM4"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7536","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=7536, right_input=1081, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=135","layer":3},{"info":"number node, value=1746","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=3169, 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=135, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=5018","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=5018, right_input=1080, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-34110","layer":3},{"info":"number node, value=1924","layer":4},{"info":"compute unary expreesion, input=1924, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-34110, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1579","layer":4},{"info":"number node, value=1912","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=1912, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5736","layer":3},{"info":"compute unary expreesion, input=-5736, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=5608","layer":2},{"info":"number node, value=2087","layer":4},{"info":"compute unary expreesion, input=2087, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2610","layer":3},{"info":"number node, value=8024","layer":4},{"info":"number node, value=5662","layer":4},{"info":"compute binary expreesion, left_input=8024, right_input=5662, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-2610, right_input=160, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=5608, right_input=-22, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=12139","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12139, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5731⩍⋽⫝̸⋰*⋻8A3)⩼⇪↪(⋰*⋻1348+⇶⊼⋰*⋻2421)⫒⫫((⋰*⋻3852∠↢⋰*⋻8A2)+⇶⊼(⇋⊎⋝⋰*⋻149A)))≦↸((⋰*⋻1206→⨶⪴⋰*⋻1489⊓⋫)⪕((⨩∲⋌⋰*⋻1628)⋅⇍⋰*⋻6035⪎↠⋰*⋻4288))=NaN","reverse_text":"NaN=((⋰*⋻5731⩍⋽⫝̸⋰*⋻8A3)⩼⇪↪(⋰*⋻1348+⇶⊼⋰*⋻2421)⫒⫫((⋰*⋻3852∠↢⋰*⋻8A2)+⇶⊼(⇋⊎⋝⋰*⋻149A)))≦↸((⋰*⋻1206→⨶⪴⋰*⋻1489⊓⋫)⪕((⨩∲⋌⋰*⋻1628)⋅⇍⋰*⋻6035⪎↠⋰*⋻4288))","cot":[{"info":"⋰*⋻5731⩍⋽⫝̸⋰*⋻8A3=⋰*⋻113","layer":3},{"info":"⋰*⋻1348+⇶⊼⋰*⋻2421=NaN","layer":3},{"info":"⋰*⋻113⩼⇪↪NaN=NaN","layer":2},{"info":"⋰*⋻3852∠↢⋰*⋻8A2=⋰*⋻-2369A","layer":3},{"info":"⇋⊎⋝⋰*⋻149A=NaN","layer":3},{"info":"⋰*⋻-2369A+⇶⊼NaN=NaN","layer":2},{"info":"NaN⫒⫫NaN=NaN","layer":1},{"info":"⋰*⋻1206→⨶⪴⋰*⋻1489=⋰*⋻-4345","layer":3},{"info":"⋰*⋻-4345⊓⋫=⋰*⋻4239","layer":2},{"info":"⨩∲⋌⋰*⋻1628=⋰*⋻-1A63","layer":3},{"info":"⋰*⋻6035⪎↠⋰*⋻4288=⋰*⋻136","layer":3},{"info":"⋰*⋻-1A63⋅⇍⋰*⋻136=⋰*⋻-20","layer":2},{"info":"⋰*⋻4239⪕⋰*⋻-20=⋰*⋻9136","layer":1},{"info":"NaN≦↸⋰*⋻9136=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"(⫓⪴($5333$⊹∫⫚$2869$))⨑⩅≇((⨛$8239$)∥⊢⊲$5934$⨜⨶$1735$)↱(($1053$⨑≵⋬$2057$)⩠)⋅⇍($1058$⩷∴$1533$)⫘($1596$↱$1044$)","expression":"(⫓⪴(⋰*⋻4009⊹∫⫚⋰*⋻2179))⨑⩅≇((⨛⋰*⋻6210)∥⊢⊲⋰*⋻4505⨜⨶⋰*⋻1338)↱((⋰*⋻878⨑≵⋬⋰*⋻1600)⩠)⋅⇍(⋰*⋻882⩷∴⋰*⋻1174)⫘(⋰*⋻1221↱⋰*⋻86A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4713,"operation_count":13,"complexity_ratio":362.53846153846155,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5333,"base":11},"right_expr":{"type":"numeric_atoms","value":2869,"base":11}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":8239,"base":11}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5934,"base":11},"right_expr":{"type":"numeric_atoms","value":1735,"base":11}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1053,"base":11},"right_expr":{"type":"numeric_atoms","value":2057,"base":11}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1058,"base":11},"right_expr":{"type":"numeric_atoms","value":1533,"base":11}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1596,"base":11},"right_expr":{"type":"numeric_atoms","value":1044,"base":11}}}}},"used_operators":["SR5kFfdi6N","h92wMvzauj","eLxqMNBOBk","uWAJUKEvyW","v1UQAVDJRr","CoMdbyAt7R","HiPekx5b7W","AdZkA7nFnk","sJAwomhLZr","XnXgA4xnOs","48vC8HMD2b","9FxExcQeMw"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9HNa5Wba9A","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","EBcxylXtPf","rGHVDoGpnC","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z"],"result":"⋰*⋻10926","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5333","layer":4},{"info":"number node, value=2869","layer":4},{"info":"compute binary expreesion, left_input=5333, right_input=2869, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-8","layer":3},{"info":"compute unary expreesion, input=-8, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=64","layer":2},{"info":"number node, value=8239","layer":4},{"info":"compute unary expreesion, input=8239, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=5934","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=5934, right_input=1735, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3214","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3214, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-3214","layer":2},{"info":"compute binary expreesion, left_input=64, right_input=-3214, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-192","layer":1},{"info":"number node, value=1053","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=2057, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-7755","layer":3},{"info":"compute unary expreesion, input=-7755, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=31229","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1533, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-982","layer":3},{"info":"number node, value=1596","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=1044, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2610","layer":3},{"info":"compute binary expreesion, left_input=-982, right_input=-2610, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4320359","layer":2},{"info":"compute binary expreesion, left_input=31229, right_input=4320359, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=-192, right_input=-22, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15758","layer":0}],"base":11,"result_base":11,"text":"(⫓⪴(⋰*⋻4009⊹∫⫚⋰*⋻2179))⨑⩅≇((⨛⋰*⋻6210)∥⊢⊲⋰*⋻4505⨜⨶⋰*⋻1338)↱((⋰*⋻878⨑≵⋬⋰*⋻1600)⩠)⋅⇍(⋰*⋻882⩷∴⋰*⋻1174)⫘(⋰*⋻1221↱⋰*⋻86A)=⋰*⋻10926","reverse_text":"⋰*⋻10926=(⫓⪴(⋰*⋻4009⊹∫⫚⋰*⋻2179))⨑⩅≇((⨛⋰*⋻6210)∥⊢⊲⋰*⋻4505⨜⨶⋰*⋻1338)↱((⋰*⋻878⨑≵⋬⋰*⋻1600)⩠)⋅⇍(⋰*⋻882⩷∴⋰*⋻1174)⫘(⋰*⋻1221↱⋰*⋻86A)","cot":[{"info":"⋰*⋻4009⊹∫⫚⋰*⋻2179=⋰*⋻-8","layer":3},{"info":"⫓⪴⋰*⋻-8=⋰*⋻59","layer":2},{"info":"⨛⋰*⋻6210=NaN","layer":3},{"info":"⋰*⋻4505⨜⨶⋰*⋻1338=⋰*⋻-2462","layer":3},{"info":"NaN∥⊢⊲⋰*⋻-2462=⋰*⋻-2462","layer":2},{"info":"⋰*⋻59⨑⩅≇⋰*⋻-2462=⋰*⋻-165","layer":1},{"info":"⋰*⋻878⨑≵⋬⋰*⋻1600=⋰*⋻-5910","layer":3},{"info":"⋰*⋻-5910⩠=⋰*⋻21510","layer":2},{"info":"⋰*⋻882⩷∴⋰*⋻1174=⋰*⋻-813","layer":3},{"info":"⋰*⋻1221↱⋰*⋻86A=⋰*⋻-1A63","layer":3},{"info":"⋰*⋻-813⫘⋰*⋻-1A63=⋰*⋻2490A4A","layer":2},{"info":"⋰*⋻21510⋅⇍⋰*⋻2490A4A=⋰*⋻-20","layer":1},{"info":"⋰*⋻-165↱⋰*⋻-20=⋰*⋻10926","layer":0}]}
{"id":781,"expression_no_base_symbol":"⊑(⋗⩴⪓($4845$⨐$1334$%$2929$∛$7760$))","expression":"⊑(⋗⩴⪓(⋰*⋻3705⨐⋰*⋻1003%⋰*⋻2223∛⋰*⋻5915))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":553,"operation_count":5,"complexity_ratio":110.6,"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":4845,"base":11},"right_expr":{"type":"numeric_atoms","value":1334,"base":11}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2929,"base":11},"right_expr":{"type":"numeric_atoms","value":7760,"base":11}}}}},"used_operators":["IkUmn0D7oy","nOKPl9n5zu","k8jYdgA6NY","Noe24qw2ks","w2537kitQq"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⋰*⋻165","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4845","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=4845, right_input=1334, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9690","layer":3},{"info":"number node, value=2929","layer":4},{"info":"number node, value=7760","layer":4},{"info":"compute binary expreesion, left_input=2929, right_input=7760, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-9690, right_input=-670, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-310","layer":2},{"info":"compute unary expreesion, input=-310, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=3860","layer":1},{"info":"compute unary expreesion, input=3860, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":11,"result_base":11,"text":"⊑(⋗⩴⪓(⋰*⋻3705⨐⋰*⋻1003%⋰*⋻2223∛⋰*⋻5915))=⋰*⋻165","reverse_text":"⋰*⋻165=⊑(⋗⩴⪓(⋰*⋻3705⨐⋰*⋻1003%⋰*⋻2223∛⋰*⋻5915))","cot":[{"info":"⋰*⋻3705⨐⋰*⋻1003=⋰*⋻-730A","layer":3},{"info":"⋰*⋻2223∛⋰*⋻5915=⋰*⋻-55A","layer":3},{"info":"⋰*⋻-730A%⋰*⋻-55A=⋰*⋻-262","layer":2},{"info":"⋗⩴⪓⋰*⋻-262=⋰*⋻299A","layer":1},{"info":"⊑⋰*⋻299A=⋰*⋻165","layer":0}]}
{"id":782,"expression_no_base_symbol":"((($1082$-$1851$)≥⨤⩑($1657$⫠))⨀⨒)⩌⋺((≦∁($7681$⫏⊷))≎⊠⪸$5774$≌$1003$⊴($2185$⩹$1333$))","expression":"(((⋰*⋻8A4-⋰*⋻1433)≥⨤⩑(⋰*⋻1277⫠))⨀⨒)⩌⋺((≦∁(⋰*⋻5853⫏⊷))≎⊠⪸⋰*⋻437A≌⋰*⋻832⊴(⋰*⋻1707⩹⋰*⋻1002))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49046,"operation_count":11,"complexity_ratio":4458.727272727273,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1082,"base":11},"right_expr":{"type":"numeric_atoms","value":1851,"base":11}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1657,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":7681,"base":11}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5774,"base":11},"right_expr":{"type":"numeric_atoms","value":1003,"base":11}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2185,"base":11},"right_expr":{"type":"numeric_atoms","value":1333,"base":11}}}}},"used_operators":["g7Hmc5v1ko","j6NVkjMzuk","gJLn6v0xnP","rysDP5nf3Z","6SnOT2rOjz","bJkvcejdHO","9ICcGScMcE","dcShxvzhyw","Nsiff2A1zJ","lyWz822IDG","2Wsdkap16l"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"⋰*⋻-A736","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1851, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-769","layer":3},{"info":"number node, value=1657","layer":4},{"info":"compute unary expreesion, input=1657, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-769, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=14008","layer":1},{"info":"number node, value=7681","layer":4},{"info":"compute unary expreesion, input=7681, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute unary expreesion, input=-820, 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=5774","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=5774, right_input=1003, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2185","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=1333, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1331","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1331, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 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=14008, right_input=67, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-14196","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻8A4-⋰*⋻1433)≥⨤⩑(⋰*⋻1277⫠))⨀⨒)⩌⋺((≦∁(⋰*⋻5853⫏⊷))≎⊠⪸⋰*⋻437A≌⋰*⋻832⊴(⋰*⋻1707⩹⋰*⋻1002))=⋰*⋻-A736","reverse_text":"⋰*⋻-A736=(((⋰*⋻8A4-⋰*⋻1433)≥⨤⩑(⋰*⋻1277⫠))⨀⨒)⩌⋺((≦∁(⋰*⋻5853⫏⊷))≎⊠⪸⋰*⋻437A≌⋰*⋻832⊴(⋰*⋻1707⩹⋰*⋻1002))","cot":[{"info":"⋰*⋻8A4-⋰*⋻1433=⋰*⋻-63A","layer":3},{"info":"⋰*⋻1277⫠=⋰*⋻0","layer":3},{"info":"⋰*⋻-63A≥⨤⩑⋰*⋻0=⋰*⋻A22","layer":2},{"info":"⋰*⋻A22⨀⨒=⋰*⋻A585","layer":1},{"info":"⋰*⋻5853⫏⊷=⋰*⋻-686","layer":3},{"info":"≦∁⋰*⋻-686=⋰*⋻61","layer":2},{"info":"⋰*⋻437A≌⋰*⋻832=NaN","layer":3},{"info":"⋰*⋻1707⩹⋰*⋻1002=⋰*⋻1000","layer":3},{"info":"NaN⊴⋰*⋻1000=NaN","layer":2},{"info":"⋰*⋻61≎⊠⪸NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻A585⩌⋺⋰*⋻61=⋰*⋻-A736","layer":0}]}
{"id":783,"expression_no_base_symbol":"(($2026$≀⫉$1591$)∌($7580$∙⊟$6492$)⪁$1126$⪎↠$2585$⪛($1627$+$1096$))⨑≵⋬((⋣($2844$⫢⨠$1088$))⊫∞)","expression":"((⋰*⋻1582≀⫉⋰*⋻1217)∌(⋰*⋻5771∙⊟⋰*⋻4972)⪁⋰*⋻934⪎↠⋰*⋻1A40⪛(⋰*⋻124A+⋰*⋻907))⨑≵⋬((⋣(⋰*⋻2156⫢⨠⋰*⋻8AA))⊫∞)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":571763,"operation_count":11,"complexity_ratio":51978.454545454544,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2026,"base":11},"right_expr":{"type":"numeric_atoms","value":1591,"base":11}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":7580,"base":11},"right_expr":{"type":"numeric_atoms","value":6492,"base":11}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1126,"base":11},"right_expr":{"type":"numeric_atoms","value":2585,"base":11}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1627,"base":11},"right_expr":{"type":"numeric_atoms","value":1096,"base":11}}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2844,"base":11},"right_expr":{"type":"numeric_atoms","value":1088,"base":11}}}}},"used_operators":["XnXgA4xnOs","I7sXao9hZE","8cLx32lpNA","oZj3VtZNQx","SxTAKzQCrw","uFcxV4UQCh","3tVxb0NHM4","W4YGzv6Whe","pABnYW3G3E","zQWRhDnn8F","xlXykHWxX1"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2026","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=1591, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=7580","layer":4},{"info":"number node, value=6492","layer":4},{"info":"compute binary expreesion, left_input=7580, right_input=6492, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=108386","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=108386, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-108386","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=2585, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1627","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=1096, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2723","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2723, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-108386, right_input=160, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=2844","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=2844, right_input=1088, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-46945","layer":2},{"info":"compute unary expreesion, input=-46945, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1582≀⫉⋰*⋻1217)∌(⋰*⋻5771∙⊟⋰*⋻4972)⪁⋰*⋻934⪎↠⋰*⋻1A40⪛(⋰*⋻124A+⋰*⋻907))⨑≵⋬((⋣(⋰*⋻2156⫢⨠⋰*⋻8AA))⊫∞)=NaN","reverse_text":"NaN=((⋰*⋻1582≀⫉⋰*⋻1217)∌(⋰*⋻5771∙⊟⋰*⋻4972)⪁⋰*⋻934⪎↠⋰*⋻1A40⪛(⋰*⋻124A+⋰*⋻907))⨑≵⋬((⋣(⋰*⋻2156⫢⨠⋰*⋻8AA))⊫∞)","cot":[{"info":"⋰*⋻1582≀⫉⋰*⋻1217=⋰*⋻2136","layer":3},{"info":"⋰*⋻5771∙⊟⋰*⋻4972=⋰*⋻74483","layer":3},{"info":"⋰*⋻2136∌⋰*⋻74483=⋰*⋻-74483","layer":2},{"info":"⋰*⋻934⪎↠⋰*⋻1A40=⋰*⋻136","layer":3},{"info":"⋰*⋻124A+⋰*⋻907=⋰*⋻2056","layer":3},{"info":"⋰*⋻136⪛⋰*⋻2056=⋰*⋻136","layer":2},{"info":"⋰*⋻-74483⪁⋰*⋻136=NaN","layer":1},{"info":"⋰*⋻2156⫢⨠⋰*⋻8AA=⋰*⋻136","layer":3},{"info":"⋣⋰*⋻136=⋰*⋻-322A8","layer":2},{"info":"⋰*⋻-322A8⊫∞=⋰*⋻0","layer":1},{"info":"NaN⨑≵⋬⋰*⋻0=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"((($4898$⪠⩆⊳)≧⫂∧($3297$∽$1910$))⫍⨯↯)∕⩚(⨑⩽⪐(($2288$⊍⩺⋍$4176$)⩏))","expression":"(((⋰*⋻3753⪠⩆⊳)≧⫂∧(⋰*⋻2528∽⋰*⋻1487))⫍⨯↯)∕⩚(⨑⩽⪐((⋰*⋻17A0⊍⩺⋍⋰*⋻3157)⩏))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22494,"operation_count":8,"complexity_ratio":2811.75,"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":4898,"base":11}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3297,"base":11},"right_expr":{"type":"numeric_atoms","value":1910,"base":11}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2288,"base":11},"right_expr":{"type":"numeric_atoms","value":4176,"base":11}}}}},"used_operators":["z9ffQ9n5Zr","ZcwmYACASQ","Ph9nP6C5qx","JLbD19bQDL","y4ImoPnbV5","AF7qkfDlqP","iA2gmKZ3Wj","OXDGMFPWZM"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","z6LnFrNh4i","Tcnh7f0tEr","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⋰*⋻-15597","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4898","layer":4},{"info":"compute unary expreesion, input=4898, 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=3297","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=1910, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-22037","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-22037, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=22037","layer":2},{"info":"compute unary expreesion, input=22037, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=22004","layer":1},{"info":"number node, value=2288","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=4176, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":1},{"info":"compute binary expreesion, left_input=22004, right_input=789, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-22007","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3753⪠⩆⊳)≧⫂∧(⋰*⋻2528∽⋰*⋻1487))⫍⨯↯)∕⩚(⨑⩽⪐((⋰*⋻17A0⊍⩺⋍⋰*⋻3157)⩏))=⋰*⋻-15597","reverse_text":"⋰*⋻-15597=(((⋰*⋻3753⪠⩆⊳)≧⫂∧(⋰*⋻2528∽⋰*⋻1487))⫍⨯↯)∕⩚(⨑⩽⪐((⋰*⋻17A0⊍⩺⋍⋰*⋻3157)⩏))","cot":[{"info":"⋰*⋻3753⪠⩆⊳=⋰*⋻0","layer":3},{"info":"⋰*⋻2528∽⋰*⋻1487=⋰*⋻-15614","layer":3},{"info":"⋰*⋻0≧⫂∧⋰*⋻-15614=⋰*⋻15614","layer":2},{"info":"⋰*⋻15614⫍⨯↯=⋰*⋻15594","layer":1},{"info":"⋰*⋻17A0⊍⩺⋍⋰*⋻3157=NaN","layer":3},{"info":"NaN⩏=⋰*⋻0","layer":2},{"info":"⨑⩽⪐⋰*⋻0=⋰*⋻658","layer":1},{"info":"⋰*⋻15594∕⩚⋰*⋻658=⋰*⋻-15597","layer":0}]}
{"id":785,"expression_no_base_symbol":"((⪹$9173$)⋹⋡⊁($2380$∌↝$1158$)⇄(($2291$∪⫐$1012$)≓∲($1538$-$6909$)))⨜⨶($6500$⩘$4159$⇼⇔∾$4421$⩚⊴⇥$2369$)⫞⩸⩒((⨩∲⋌$4897$)∲⫓$3312$⊢$1747$)","expression":"((⪹⋰*⋻698A)⋹⋡⊁(⋰*⋻1874∌↝⋰*⋻963)⇄((⋰*⋻17A3∪⫐⋰*⋻840)≓∲(⋰*⋻1179-⋰*⋻5211)))⨜⨶(⋰*⋻497A⩘⋰*⋻3141⇼⇔∾⋰*⋻335A⩚⊴⇥⋰*⋻1864)⫞⩸⩒((⨩∲⋌⋰*⋻3752)∲⫓⋰*⋻2541⊢⋰*⋻1349)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":239,"operation_count":15,"complexity_ratio":15.933333333333334,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":9173,"base":11}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2380,"base":11},"right_expr":{"type":"numeric_atoms","value":1158,"base":11}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2291,"base":11},"right_expr":{"type":"numeric_atoms","value":1012,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1538,"base":11},"right_expr":{"type":"numeric_atoms","value":6909,"base":11}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":6500,"base":11},"right_expr":{"type":"numeric_atoms","value":4159,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4421,"base":11},"right_expr":{"type":"numeric_atoms","value":2369,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4897,"base":11}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3312,"base":11},"right_expr":{"type":"numeric_atoms","value":1747,"base":11}}}}},"used_operators":["HiPekx5b7W","3EYGwJThht","As8RqfVLgs","USyYr0JgAa","9Isq31Ruls","s1XTVnmDOJ","7YooWSwCyH","rysDP5nf3Z","XGcMNugi78","tifHPKVTfV","cHh1gJQ2o6","NTOWxs364D","i8ToyICDmI","aSik1wnThz","5twsqlHp2o"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tifHPKVTfV","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rJVOvQCfKK","2DDjHMKMc0","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⋰*⋻-29318","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=9173","layer":4},{"info":"compute unary expreesion, input=9173, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-8993","layer":3},{"info":"number node, value=2380","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=1158, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8993, right_input=0, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=143626","layer":2},{"info":"number node, value=2291","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=1012, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2291","layer":3},{"info":"number node, value=1538","layer":4},{"info":"number node, value=6909","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=6909, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5371","layer":3},{"info":"compute binary expreesion, left_input=2291, right_input=-5371, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=43222","layer":2},{"info":"compute binary expreesion, left_input=143626, right_input=43222, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=6500","layer":4},{"info":"number node, value=4159","layer":4},{"info":"compute binary expreesion, left_input=6500, right_input=4159, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4421","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=4421, right_input=2369, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6911","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-6911, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7071","layer":2},{"info":"number node, value=4897","layer":4},{"info":"compute unary expreesion, input=4897, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5420","layer":3},{"info":"number node, value=3312","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=1747, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6868","layer":3},{"info":"compute binary expreesion, left_input=-5420, right_input=-6868, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-5420","layer":2},{"info":"compute binary expreesion, left_input=-7071, right_input=-5420, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-7071","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7071, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-41643","layer":0}],"base":11,"result_base":11,"text":"((⪹⋰*⋻698A)⋹⋡⊁(⋰*⋻1874∌↝⋰*⋻963)⇄((⋰*⋻17A3∪⫐⋰*⋻840)≓∲(⋰*⋻1179-⋰*⋻5211)))⨜⨶(⋰*⋻497A⩘⋰*⋻3141⇼⇔∾⋰*⋻335A⩚⊴⇥⋰*⋻1864)⫞⩸⩒((⨩∲⋌⋰*⋻3752)∲⫓⋰*⋻2541⊢⋰*⋻1349)=⋰*⋻-29318","reverse_text":"⋰*⋻-29318=((⪹⋰*⋻698A)⋹⋡⊁(⋰*⋻1874∌↝⋰*⋻963)⇄((⋰*⋻17A3∪⫐⋰*⋻840)≓∲(⋰*⋻1179-⋰*⋻5211)))⨜⨶(⋰*⋻497A⩘⋰*⋻3141⇼⇔∾⋰*⋻335A⩚⊴⇥⋰*⋻1864)⫞⩸⩒((⨩∲⋌⋰*⋻3752)∲⫓⋰*⋻2541⊢⋰*⋻1349)","cot":[{"info":"⪹⋰*⋻698A=⋰*⋻-6836","layer":3},{"info":"⋰*⋻1874∌↝⋰*⋻963=⋰*⋻0","layer":3},{"info":"⋰*⋻-6836⋹⋡⊁⋰*⋻0=⋰*⋻989AA","layer":2},{"info":"⋰*⋻17A3∪⫐⋰*⋻840=⋰*⋻17A3","layer":3},{"info":"⋰*⋻1179-⋰*⋻5211=⋰*⋻-4043","layer":3},{"info":"⋰*⋻17A3≓∲⋰*⋻-4043=⋰*⋻2A523","layer":2},{"info":"⋰*⋻989AA⇄⋰*⋻2A523=⋰*⋻0","layer":1},{"info":"⋰*⋻497A⩘⋰*⋻3141=⋰*⋻136","layer":3},{"info":"⋰*⋻335A⩚⊴⇥⋰*⋻1864=⋰*⋻-5213","layer":3},{"info":"⋰*⋻136⇼⇔∾⋰*⋻-5213=⋰*⋻-5349","layer":2},{"info":"⨩∲⋌⋰*⋻3752=⋰*⋻-4088","layer":3},{"info":"⋰*⋻2541⊢⋰*⋻1349=⋰*⋻-5184","layer":3},{"info":"⋰*⋻-4088∲⫓⋰*⋻-5184=⋰*⋻-4088","layer":2},{"info":"⋰*⋻-5349⫞⩸⩒⋰*⋻-4088=⋰*⋻-5349","layer":1},{"info":"⋰*⋻0⨜⨶⋰*⋻-5349=⋰*⋻-29318","layer":0}]}
{"id":786,"expression_no_base_symbol":"($1933$⩒⫫$1034$)⊉↱≁($1060$⨵⪆$2450$)⨚⇆($6425$⨔⇊$5320$⪄$5353$↬$1507$)⊢","expression":"(⋰*⋻14A8⩒⫫⋰*⋻860)⊉↱≁(⋰*⋻884⨵⪆⋰*⋻1928)⨚⇆(⋰*⋻4911⨔⇊⋰*⋻3AA7⪄⋰*⋻4027↬⋰*⋻1150)⊢","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":338,"operation_count":8,"complexity_ratio":42.25,"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":1933,"base":11},"right_expr":{"type":"numeric_atoms","value":1034,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1060,"base":11},"right_expr":{"type":"numeric_atoms","value":2450,"base":11}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":6425,"base":11},"right_expr":{"type":"numeric_atoms","value":5320,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5353,"base":11},"right_expr":{"type":"numeric_atoms","value":1507,"base":11}}}}},"used_operators":["40aOVDgCDB","lwHaAYXP2r","w2P8NbNXyL","KFSx94NKJn","2DQ55sFlQl","SUmda5xLS4","JclMnS0uGI","B5M0gjZbta"],"dependent_operators":["NTOWxs364D","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rGHVDoGpnC"],"result":"-Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1933","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=1034, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1631","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=2450","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=2450, 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=1631, right_input=160, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=15298","layer":2},{"info":"number node, value=6425","layer":4},{"info":"number node, value=5320","layer":4},{"info":"compute binary expreesion, left_input=6425, right_input=5320, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5320","layer":3},{"info":"number node, value=5353","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=5353, right_input=1507, 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=5320, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15298, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-inf","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻14A8⩒⫫⋰*⋻860)⊉↱≁(⋰*⋻884⨵⪆⋰*⋻1928)⨚⇆(⋰*⋻4911⨔⇊⋰*⋻3AA7⪄⋰*⋻4027↬⋰*⋻1150)⊢=-Inf","reverse_text":"-Inf=(⋰*⋻14A8⩒⫫⋰*⋻860)⊉↱≁(⋰*⋻884⨵⪆⋰*⋻1928)⨚⇆(⋰*⋻4911⨔⇊⋰*⋻3AA7⪄⋰*⋻4027↬⋰*⋻1150)⊢","cot":[{"info":"⋰*⋻14A8⩒⫫⋰*⋻860=⋰*⋻1253","layer":3},{"info":"⋰*⋻884⨵⪆⋰*⋻1928=⋰*⋻136","layer":3},{"info":"⋰*⋻1253⊉↱≁⋰*⋻136=⋰*⋻10548","layer":2},{"info":"⋰*⋻4911⨔⇊⋰*⋻3AA7=⋰*⋻3AA7","layer":3},{"info":"⋰*⋻4027↬⋰*⋻1150=NaN","layer":3},{"info":"⋰*⋻3AA7⪄NaN=NaN","layer":2},{"info":"⋰*⋻10548⨚⇆NaN=-Inf","layer":1},{"info":"-Inf⊢=-Inf","layer":0}]}
{"id":787,"expression_no_base_symbol":"($3227$⨻⩈⩔$4470$⫸⊐(≱⇩⩕$2812$))≹⇙⪍(≱⇩⩕$1536$⫉⨲⊜$2012$)⩍⋽⫝̸(($1516$%$6127$)⪪($3388$⫑)⫡⨏(↣≠⋷$3630$)⨜⨶($1723$↹⊜$4748$))","expression":"(⋰*⋻2474⨻⩈⩔⋰*⋻33A4⫸⊐(≱⇩⩕⋰*⋻2127))≹⇙⪍(≱⇩⩕⋰*⋻1177⫉⨲⊜⋰*⋻156A)⩍⋽⫝̸((⋰*⋻1159%⋰*⋻4670)⪪(⋰*⋻2600⫑)⫡⨏(↣≠⋷⋰*⋻2800)⨜⨶(⋰*⋻1327↹⊜⋰*⋻3627))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18037,"operation_count":14,"complexity_ratio":1288.357142857143,"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":3227,"base":11},"right_expr":{"type":"numeric_atoms","value":4470,"base":11}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2812,"base":11}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1536,"base":11},"right_expr":{"type":"numeric_atoms","value":2012,"base":11}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1516,"base":11},"right_expr":{"type":"numeric_atoms","value":6127,"base":11}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":3388,"base":11}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3630,"base":11}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1723,"base":11},"right_expr":{"type":"numeric_atoms","value":4748,"base":11}}}}},"used_operators":["BiWNJpBvwn","AHs5Up7iyr","mqXw5SEYmG","nEsXyWgiOK","3DZMoQKiUl","WhqkvtTD3t","QMFrweE19q","xD69zh8xqp","k8jYdgA6NY","CgIo77xlM2","HiPekx5b7W","Asc51vEJeQ","9bazX3JMtO"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3227","layer":4},{"info":"number node, value=4470","layer":4},{"info":"compute binary expreesion, left_input=3227, right_input=4470, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=17415","layer":3},{"info":"number node, value=2812","layer":4},{"info":"compute unary expreesion, input=2812, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=17415, right_input=113, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=327","layer":2},{"info":"number node, value=1536","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=2012, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=327, right_input=113, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1516","layer":4},{"info":"number node, value=6127","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=6127, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1516","layer":3},{"info":"number node, value=3388","layer":4},{"info":"compute unary expreesion, input=3388, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=1516, right_input=3979, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-225005","layer":2},{"info":"number node, value=3630","layer":4},{"info":"compute unary expreesion, input=3630, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1723","layer":4},{"info":"number node, value=4748","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=4748, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-15642","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15642, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-225005, 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=nan, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2474⨻⩈⩔⋰*⋻33A4⫸⊐(≱⇩⩕⋰*⋻2127))≹⇙⪍(≱⇩⩕⋰*⋻1177⫉⨲⊜⋰*⋻156A)⩍⋽⫝̸((⋰*⋻1159%⋰*⋻4670)⪪(⋰*⋻2600⫑)⫡⨏(↣≠⋷⋰*⋻2800)⨜⨶(⋰*⋻1327↹⊜⋰*⋻3627))=NaN","reverse_text":"NaN=(⋰*⋻2474⨻⩈⩔⋰*⋻33A4⫸⊐(≱⇩⩕⋰*⋻2127))≹⇙⪍(≱⇩⩕⋰*⋻1177⫉⨲⊜⋰*⋻156A)⩍⋽⫝̸((⋰*⋻1159%⋰*⋻4670)⪪(⋰*⋻2600⫑)⫡⨏(↣≠⋷⋰*⋻2800)⨜⨶(⋰*⋻1327↹⊜⋰*⋻3627))","cot":[{"info":"⋰*⋻2474⨻⩈⩔⋰*⋻33A4=⋰*⋻120A2","layer":3},{"info":"≱⇩⩕⋰*⋻2127=⋰*⋻A3","layer":3},{"info":"⋰*⋻120A2⫸⊐⋰*⋻A3=⋰*⋻278","layer":2},{"info":"⋰*⋻1177⫉⨲⊜⋰*⋻156A=⋰*⋻0","layer":3},{"info":"≱⇩⩕⋰*⋻0=⋰*⋻A3","layer":2},{"info":"⋰*⋻278≹⇙⪍⋰*⋻A3=NaN","layer":1},{"info":"⋰*⋻1159%⋰*⋻4670=⋰*⋻1159","layer":3},{"info":"⋰*⋻2600⫑=⋰*⋻2A98","layer":3},{"info":"⋰*⋻1159⪪⋰*⋻2A98=⋰*⋻-144060","layer":2},{"info":"↣≠⋷⋰*⋻2800=NaN","layer":3},{"info":"⋰*⋻1327↹⊜⋰*⋻3627=⋰*⋻-10830","layer":3},{"info":"NaN⨜⨶⋰*⋻-10830=NaN","layer":2},{"info":"⋰*⋻-144060⫡⨏NaN=NaN","layer":1},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"(((⊬↢$1448$)⫰⋱$7818$↓$1529$)⨼⩣((≯$1702$)⇄$1005$⨔⇊$2553$))⨔⇊($5425$∌$8483$⪨⊡(⊬↢$1144$)⊾⪯⋞$2335$⪟⇏$6649$⋥≓≎$1345$⪔⊥$6644$)","expression":"(((⊬↢⋰*⋻10A7)⫰⋱⋰*⋻5968↓⋰*⋻1170)⨼⩣((≯⋰*⋻1308)⇄⋰*⋻834⨔⇊⋰*⋻1A11))⨔⇊(⋰*⋻4092∌⋰*⋻6412⪨⊡(⊬↢⋰*⋻950)⊾⪯⋞⋰*⋻1833⪟⇏⋰*⋻4AA5⋥≓≎⋰*⋻1013⪔⊥⋰*⋻4AA0)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31117,"operation_count":15,"complexity_ratio":2074.4666666666667,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1448,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":7818,"base":11},"right_expr":{"type":"numeric_atoms","value":1529,"base":11}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1702,"base":11}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1005,"base":11},"right_expr":{"type":"numeric_atoms","value":2553,"base":11}}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5425,"base":11},"right_expr":{"type":"numeric_atoms","value":8483,"base":11}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1144,"base":11}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2335,"base":11},"right_expr":{"type":"numeric_atoms","value":6649,"base":11}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1345,"base":11},"right_expr":{"type":"numeric_atoms","value":6644,"base":11}}}}},"used_operators":["JclMnS0uGI","JxwMv5le6e","6o9Blt3TJ6","WPoGxAaPR1","Af076pWI7l","3EYGwJThht","keWfFq85dY","HK0tfVPux8","kuIXHzHcAH","8cLx32lpNA","Qy55tPpLXF","GODebY97qR","HJ9erzHUuu"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","g55IO6H4Gj","JLbD19bQDL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=7818","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=7818, right_input=1529, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=-134, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-185","layer":2},{"info":"number node, value=1702","layer":4},{"info":"compute unary expreesion, input=1702, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2553, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2553","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2553, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-2069","layer":2},{"info":"compute binary expreesion, left_input=-185, right_input=-2069, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=5425","layer":4},{"info":"number node, value=8483","layer":4},{"info":"compute binary expreesion, left_input=5425, right_input=8483, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8483","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=-8483, right_input=218, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=55","layer":2},{"info":"number node, value=2335","layer":4},{"info":"number node, value=6649","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=6649, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=6644","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=6644, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-8107","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-8107, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-16180","layer":2},{"info":"compute binary expreesion, left_input=55, right_input=-16180, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-820, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(((⊬↢⋰*⋻10A7)⫰⋱⋰*⋻5968↓⋰*⋻1170)⨼⩣((≯⋰*⋻1308)⇄⋰*⋻834⨔⇊⋰*⋻1A11))⨔⇊(⋰*⋻4092∌⋰*⋻6412⪨⊡(⊬↢⋰*⋻950)⊾⪯⋞⋰*⋻1833⪟⇏⋰*⋻4AA5⋥≓≎⋰*⋻1013⪔⊥⋰*⋻4AA0)=⋰*⋻61","reverse_text":"⋰*⋻61=(((⊬↢⋰*⋻10A7)⫰⋱⋰*⋻5968↓⋰*⋻1170)⨼⩣((≯⋰*⋻1308)⇄⋰*⋻834⨔⇊⋰*⋻1A11))⨔⇊(⋰*⋻4092∌⋰*⋻6412⪨⊡(⊬↢⋰*⋻950)⊾⪯⋞⋰*⋻1833⪟⇏⋰*⋻4AA5⋥≓≎⋰*⋻1013⪔⊥⋰*⋻4AA0)","cot":[{"info":"⊬↢⋰*⋻10A7=⋰*⋻189","layer":3},{"info":"⋰*⋻5968↓⋰*⋻1170=⋰*⋻-112","layer":3},{"info":"⋰*⋻189⫰⋱⋰*⋻-112=⋰*⋻-159","layer":2},{"info":"≯⋰*⋻1308=⋰*⋻0","layer":3},{"info":"⋰*⋻834⨔⇊⋰*⋻1A11=⋰*⋻1A11","layer":3},{"info":"⋰*⋻0⇄⋰*⋻1A11=⋰*⋻-1611","layer":2},{"info":"⋰*⋻-159⨼⩣⋰*⋻-1611=NaN","layer":1},{"info":"⋰*⋻4092∌⋰*⋻6412=⋰*⋻-6412","layer":3},{"info":"⊬↢⋰*⋻950=⋰*⋻189","layer":3},{"info":"⋰*⋻-6412⪨⊡⋰*⋻189=⋰*⋻50","layer":2},{"info":"⋰*⋻1833⪟⇏⋰*⋻4AA5=⋰*⋻-1","layer":3},{"info":"⋰*⋻1013⪔⊥⋰*⋻4AA0=⋰*⋻-6100","layer":3},{"info":"⋰*⋻-1⋥≓≎⋰*⋻-6100=⋰*⋻-1117A","layer":2},{"info":"⋰*⋻50⊾⪯⋞⋰*⋻-1117A=⋰*⋻-686","layer":1},{"info":"NaN⨔⇊⋰*⋻-686=⋰*⋻61","layer":0}]}
{"id":789,"expression_no_base_symbol":"($1714$⪃⊛⇣$2828$⇌⫙⪟(⫶⊄≣$3118$))≀⫉($5798$⊨$2039$⊭↱$2548$≨$1450$)⊢","expression":"(⋰*⋻1319⪃⊛⇣⋰*⋻2141⇌⫙⪟(⫶⊄≣⋰*⋻2385))≀⫉(⋰*⋻43A1⊨⋰*⋻1594⊭↱⋰*⋻1A07≨⋰*⋻10A9)⊢","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3966,"operation_count":8,"complexity_ratio":495.75,"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":1714,"base":11},"right_expr":{"type":"numeric_atoms","value":2828,"base":11}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":3118,"base":11}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5798,"base":11},"right_expr":{"type":"numeric_atoms","value":2039,"base":11}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2548,"base":11},"right_expr":{"type":"numeric_atoms","value":1450,"base":11}}}}},"used_operators":["40aOVDgCDB","oZj3VtZNQx","AFVx7xoS7T","rrgAzCduG9","wxb3vTeyAj","COABgblf1C","vg4gO5BX6G","0KMCeP1Jsh"],"dependent_operators":["NTOWxs364D","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⋰*⋻-2340","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1714","layer":4},{"info":"number node, value=2828","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=2828, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=3118","layer":4},{"info":"compute unary expreesion, input=3118, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=175047445","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=175047445, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=5798","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=5798, right_input=2039, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=24223","layer":3},{"info":"number node, value=2548","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=1450, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-23004","layer":3},{"info":"compute binary expreesion, left_input=24223, right_input=-23004, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-94449","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-94449, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3069","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1319⪃⊛⇣⋰*⋻2141⇌⫙⪟(⫶⊄≣⋰*⋻2385))≀⫉(⋰*⋻43A1⊨⋰*⋻1594⊭↱⋰*⋻1A07≨⋰*⋻10A9)⊢=⋰*⋻-2340","reverse_text":"⋰*⋻-2340=(⋰*⋻1319⪃⊛⇣⋰*⋻2141⇌⫙⪟(⫶⊄≣⋰*⋻2385))≀⫉(⋰*⋻43A1⊨⋰*⋻1594⊭↱⋰*⋻1A07≨⋰*⋻10A9)⊢","cot":[{"info":"⋰*⋻1319⪃⊛⇣⋰*⋻2141=⋰*⋻A22","layer":3},{"info":"⫶⊄≣⋰*⋻2385=⋰*⋻8A89A811","layer":3},{"info":"⋰*⋻A22⇌⫙⪟⋰*⋻8A89A811=⋰*⋻A3","layer":2},{"info":"⋰*⋻43A1⊨⋰*⋻1594=⋰*⋻17221","layer":3},{"info":"⋰*⋻1A07≨⋰*⋻10A9=⋰*⋻-16313","layer":3},{"info":"⋰*⋻17221⊭↱⋰*⋻-16313=⋰*⋻-64A63","layer":2},{"info":"⋰*⋻A3≀⫉⋰*⋻-64A63=⋰*⋻2136","layer":1},{"info":"⋰*⋻2136⊢=⋰*⋻-2340","layer":0}]}
{"id":790,"expression_no_base_symbol":"⇈((⨭⩧⫛($1196$⫃⨇$2493$))⊱⇼⊻($1149$⋓$2113$/$6488$≹⇙⪍$1818$))","expression":"⇈((⨭⩧⫛(⋰*⋻998⫃⨇⋰*⋻1967))⊱⇼⊻(⋰*⋻955⋓⋰*⋻1651/⋰*⋻4969≹⇙⪍⋰*⋻1403))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1248,"operation_count":7,"complexity_ratio":178.28571428571428,"tree":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1196,"base":11},"right_expr":{"type":"numeric_atoms","value":2493,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1149,"base":11},"right_expr":{"type":"numeric_atoms","value":2113,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6488,"base":11},"right_expr":{"type":"numeric_atoms","value":1818,"base":11}}}}},"used_operators":["SLLxy00UIr","FyVja0WsTP","g21JL6JxX7","09Ly4LVMIf","XhwjNDsVaA","T2fj7uvVaJ","AHs5Up7iyr"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9"],"result":"⋰*⋻-377","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1196","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=2493, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-10004","layer":3},{"info":"compute unary expreesion, input=-10004, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=1149","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=2113, 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=6488","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=6488, right_input=1818, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":11,"result_base":11,"text":"⇈((⨭⩧⫛(⋰*⋻998⫃⨇⋰*⋻1967))⊱⇼⊻(⋰*⋻955⋓⋰*⋻1651/⋰*⋻4969≹⇙⪍⋰*⋻1403))=⋰*⋻-377","reverse_text":"⋰*⋻-377=⇈((⨭⩧⫛(⋰*⋻998⫃⨇⋰*⋻1967))⊱⇼⊻(⋰*⋻955⋓⋰*⋻1651/⋰*⋻4969≹⇙⪍⋰*⋻1403))","cot":[{"info":"⋰*⋻998⫃⨇⋰*⋻1967=⋰*⋻-7575","layer":3},{"info":"⨭⩧⫛⋰*⋻-7575=NaN","layer":2},{"info":"⋰*⋻955⋓⋰*⋻1651=⋰*⋻0","layer":3},{"info":"⋰*⋻4969≹⇙⪍⋰*⋻1403=NaN","layer":3},{"info":"⋰*⋻0/NaN=NaN","layer":2},{"info":"NaN⊱⇼⊻NaN=NaN","layer":1},{"info":"⇈NaN=⋰*⋻-377","layer":0}]}
{"id":791,"expression_no_base_symbol":"(≸($1661$⪍↜⋙$2786$∕⩚$2377$↸$1310$))⨼⩣(($6622$⨓$1242$)⨚($2461$⊜)⨒($8212$⩁⩘$1330$/$5114$↢$6103$))","expression":"(≸(⋰*⋻1280⪍↜⋙⋰*⋻2103∕⩚⋰*⋻1871↸⋰*⋻A91))⨼⩣((⋰*⋻4A80⨓⋰*⋻A2A)⨚(⋰*⋻1938⊜)⨒(⋰*⋻6196⩁⩘⋰*⋻AAA/⋰*⋻392A↢⋰*⋻4649))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17738,"operation_count":12,"complexity_ratio":1478.1666666666667,"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":1661,"base":11},"right_expr":{"type":"numeric_atoms","value":2786,"base":11}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2377,"base":11},"right_expr":{"type":"numeric_atoms","value":1310,"base":11}}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6622,"base":11},"right_expr":{"type":"numeric_atoms","value":1242,"base":11}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2461,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":8212,"base":11},"right_expr":{"type":"numeric_atoms","value":1330,"base":11}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":5114,"base":11},"right_expr":{"type":"numeric_atoms","value":6103,"base":11}}}}},"used_operators":["JxwMv5le6e","eOf03JbCpp","z9ffQ9n5Zr","L05ObWFQCd","1eCjFl0mb9","y75s1iXyHd","nREPSIbpBE","3ViojmjbAp","Eev2Q7dYIw","XhwjNDsVaA","gub5Cegaqo","WR6HLWljOP"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","BjRHVeLaeN","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1661","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=2786, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-14660","layer":3},{"info":"number node, value=2377","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=1310, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2377","layer":3},{"info":"compute binary expreesion, left_input=-14660, right_input=2377, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=14657","layer":2},{"info":"compute unary expreesion, input=14657, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"number node, value=6622","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=6622, right_input=1242, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1245","layer":3},{"info":"number node, value=2461","layer":4},{"info":"compute unary expreesion, input=2461, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-8108","layer":3},{"info":"compute binary expreesion, left_input=-1245, right_input=-8108, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=30876","layer":2},{"info":"number node, value=8212","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=8212, right_input=1330, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6268","layer":3},{"info":"number node, value=5114","layer":4},{"info":"number node, value=6103","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=6103, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4630","layer":3},{"info":"compute binary expreesion, left_input=6268, right_input=4630, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=30876, right_input=1, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=58, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≸(⋰*⋻1280⪍↜⋙⋰*⋻2103∕⩚⋰*⋻1871↸⋰*⋻A91))⨼⩣((⋰*⋻4A80⨓⋰*⋻A2A)⨚(⋰*⋻1938⊜)⨒(⋰*⋻6196⩁⩘⋰*⋻AAA/⋰*⋻392A↢⋰*⋻4649))=NaN","reverse_text":"NaN=(≸(⋰*⋻1280⪍↜⋙⋰*⋻2103∕⩚⋰*⋻1871↸⋰*⋻A91))⨼⩣((⋰*⋻4A80⨓⋰*⋻A2A)⨚(⋰*⋻1938⊜)⨒(⋰*⋻6196⩁⩘⋰*⋻AAA/⋰*⋻392A↢⋰*⋻4649))","cot":[{"info":"⋰*⋻1280⪍↜⋙⋰*⋻2103=⋰*⋻-10018","layer":3},{"info":"⋰*⋻1871↸⋰*⋻A91=⋰*⋻1871","layer":3},{"info":"⋰*⋻-10018∕⩚⋰*⋻1871=⋰*⋻10015","layer":2},{"info":"≸⋰*⋻10015=⋰*⋻53","layer":1},{"info":"⋰*⋻4A80⨓⋰*⋻A2A=⋰*⋻-A32","layer":3},{"info":"⋰*⋻1938⊜=⋰*⋻-6101","layer":3},{"info":"⋰*⋻-A32⨚⋰*⋻-6101=⋰*⋻2121A","layer":2},{"info":"⋰*⋻6196⩁⩘⋰*⋻AAA=⋰*⋻4789","layer":3},{"info":"⋰*⋻392A↢⋰*⋻4649=⋰*⋻352A","layer":3},{"info":"⋰*⋻4789/⋰*⋻352A=⋰*⋻1","layer":2},{"info":"⋰*⋻2121A⨒⋰*⋻1=⋰*⋻0","layer":1},{"info":"⋰*⋻53⨼⩣⋰*⋻0=NaN","layer":0}]}
{"id":792,"expression_no_base_symbol":"⊈(($1959$≌$2841$⨵⪆$4385$⇄$2680$)⊭↱($5005$⩺⋐⫨)⪡$1543$+⪬∐$5993$)","expression":"⊈((⋰*⋻1521≌⋰*⋻2153⨵⪆⋰*⋻3327⇄⋰*⋻2017)⊭↱(⋰*⋻3840⩺⋐⫨)⪡⋰*⋻1183+⪬∐⋰*⋻4559)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3559,"operation_count":8,"complexity_ratio":444.875,"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":1959,"base":11},"right_expr":{"type":"numeric_atoms","value":2841,"base":11}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4385,"base":11},"right_expr":{"type":"numeric_atoms","value":2680,"base":11}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":5005,"base":11}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1543,"base":11},"right_expr":{"type":"numeric_atoms","value":5993,"base":11}}}}},"used_operators":["RHru8klgy8","COABgblf1C","2DQ55sFlQl","lyWz822IDG","3EYGwJThht","oraRL2iQuh","yS9ePUuUdn","2GS7woTJqF"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","g55IO6H4Gj","D4vGDi5EA2"],"result":"⋰*⋻3019","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":4},{"info":"number node, value=2841","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=2841, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=4385","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=4385, right_input=2680, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5005","layer":4},{"info":"compute unary expreesion, input=5005, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=5993","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=5993, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4629","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4629, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1936, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4187","layer":1},{"info":"compute unary expreesion, input=-4187, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=4013","layer":0}],"base":11,"result_base":11,"text":"⊈((⋰*⋻1521≌⋰*⋻2153⨵⪆⋰*⋻3327⇄⋰*⋻2017)⊭↱(⋰*⋻3840⩺⋐⫨)⪡⋰*⋻1183+⪬∐⋰*⋻4559)=⋰*⋻3019","reverse_text":"⋰*⋻3019=⊈((⋰*⋻1521≌⋰*⋻2153⨵⪆⋰*⋻3327⇄⋰*⋻2017)⊭↱(⋰*⋻3840⩺⋐⫨)⪡⋰*⋻1183+⪬∐⋰*⋻4559)","cot":[{"info":"⋰*⋻1521≌⋰*⋻2153=NaN","layer":3},{"info":"⋰*⋻3327⇄⋰*⋻2017=⋰*⋻0","layer":3},{"info":"NaN⨵⪆⋰*⋻0=⋰*⋻136","layer":2},{"info":"⋰*⋻3840⩺⋐⫨=⋰*⋻0","layer":3},{"info":"⋰*⋻1183+⪬∐⋰*⋻4559=⋰*⋻-3529","layer":3},{"info":"⋰*⋻0⪡⋰*⋻-3529=⋰*⋻-1500","layer":2},{"info":"⋰*⋻136⊭↱⋰*⋻-1500=⋰*⋻-3167","layer":1},{"info":"⊈⋰*⋻-3167=⋰*⋻3019","layer":0}]}
{"id":793,"expression_no_base_symbol":"(((≔$5829$)⪨≂(-$2887$))≀⫉(⇖⫷⫕$1228$)≌($1446$∠⫱$1407$))⇷($1082$⨔⇊$1293$∽$5066$≦↸$1506$)⪎↠($1071$⨸$3210$)↤⩊($4577$∖$1676$)","expression":"(((≔⋰*⋻441A)⪨≂(-⋰*⋻2195))≀⫉(⇖⫷⫕⋰*⋻A17)≌(⋰*⋻10A5∠⫱⋰*⋻106A))⇷(⋰*⋻8A4⨔⇊⋰*⋻A76∽⋰*⋻3896≦↸⋰*⋻114A)⪎↠(⋰*⋻894⨸⋰*⋻2459)↤⩊(⋰*⋻3491∖⋰*⋻1294)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":43520,"operation_count":15,"complexity_ratio":2901.3333333333335,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":5829,"base":11}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2887,"base":11}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1228,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1446,"base":11},"right_expr":{"type":"numeric_atoms","value":1407,"base":11}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1082,"base":11},"right_expr":{"type":"numeric_atoms","value":1293,"base":11}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5066,"base":11},"right_expr":{"type":"numeric_atoms","value":1506,"base":11}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":3210,"base":11}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4577,"base":11},"right_expr":{"type":"numeric_atoms","value":1676,"base":11}}}}},"used_operators":["mp7IySMOzn","oZj3VtZNQx","sdazOOVcIp","8FLs4eVsLt","t8gj7n24qd","lyWz822IDG","UHmRx3INFg","QvoQhV0rrE","3tVxb0NHM4","y4ImoPnbV5","JclMnS0uGI","RygbFNSyEJ","13rbtpv6ld","KmoU8R5UQR","tXD093vOjl"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","NTOWxs364D","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⋰*⋻271","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5829","layer":4},{"info":"compute unary expreesion, input=5829, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-161918","layer":3},{"info":"number node, value=2887","layer":4},{"info":"compute unary expreesion, input=2887, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2887","layer":3},{"info":"compute binary expreesion, left_input=-161918, right_input=-2887, 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=-317960","layer":2},{"info":"number node, value=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=1407, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=1234, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-317960, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=1082","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1293, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1293","layer":3},{"info":"number node, value=5066","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=1506, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12463","layer":3},{"info":"compute binary expreesion, left_input=1293, right_input=-12463, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=31102","layer":2},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3210, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2142","layer":3},{"info":"number node, value=4577","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=4577, right_input=1676, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2142, right_input=0, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=31102, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":0}],"base":11,"result_base":11,"text":"(((≔⋰*⋻441A)⪨≂(-⋰*⋻2195))≀⫉(⇖⫷⫕⋰*⋻A17)≌(⋰*⋻10A5∠⫱⋰*⋻106A))⇷(⋰*⋻8A4⨔⇊⋰*⋻A76∽⋰*⋻3896≦↸⋰*⋻114A)⪎↠(⋰*⋻894⨸⋰*⋻2459)↤⩊(⋰*⋻3491∖⋰*⋻1294)=⋰*⋻271","reverse_text":"⋰*⋻271=(((≔⋰*⋻441A)⪨≂(-⋰*⋻2195))≀⫉(⇖⫷⫕⋰*⋻A17)≌(⋰*⋻10A5∠⫱⋰*⋻106A))⇷(⋰*⋻8A4⨔⇊⋰*⋻A76∽⋰*⋻3896≦↸⋰*⋻114A)⪎↠(⋰*⋻894⨸⋰*⋻2459)↤⩊(⋰*⋻3491∖⋰*⋻1294)","cot":[{"info":"≔⋰*⋻441A=⋰*⋻-100719","layer":3},{"info":"-⋰*⋻2195=⋰*⋻-2195","layer":3},{"info":"⋰*⋻-100719⪨≂⋰*⋻-2195=⋰*⋻-1A7985","layer":2},{"info":"⇖⫷⫕⋰*⋻A17=⋰*⋻2136","layer":3},{"info":"⋰*⋻10A5∠⫱⋰*⋻106A=⋰*⋻A22","layer":3},{"info":"⋰*⋻2136≌⋰*⋻A22=NaN","layer":2},{"info":"⋰*⋻-1A7985≀⫉NaN=⋰*⋻2136","layer":1},{"info":"⋰*⋻8A4⨔⇊⋰*⋻A76=⋰*⋻A76","layer":3},{"info":"⋰*⋻3896≦↸⋰*⋻114A=⋰*⋻-9400","layer":3},{"info":"⋰*⋻A76∽⋰*⋻-9400=⋰*⋻21405","layer":2},{"info":"⋰*⋻894⨸⋰*⋻2459=⋰*⋻1678","layer":3},{"info":"⋰*⋻3491∖⋰*⋻1294=⋰*⋻0","layer":3},{"info":"⋰*⋻1678↤⩊⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻21405⪎↠NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻2136⇷⋰*⋻136=⋰*⋻271","layer":0}]}
{"id":794,"expression_no_base_symbol":"(($1736$⫁$2397$⫡⨏(⊵⊁$2117$))⋅⇍(⪁⇼$1677$)⩚⊴⇥$1480$⪍↜⋙$2380$)⪇≇⋚(($4613$⩇∃⫛$3872$)⪘⫢$6591$≹⇙⪍$2830$)⩖⊿($4034$⋣⋖$3841$⨵⪆($2446$⋫))","expression":"((⋰*⋻1339⫁⋰*⋻188A⫡⨏(⊵⊁⋰*⋻1655))⋅⇍(⪁⇼⋰*⋻1295)⩚⊴⇥⋰*⋻1126⪍↜⋙⋰*⋻1874)⪇≇⋚((⋰*⋻3514⩇∃⫛⋰*⋻2A00)⪘⫢⋰*⋻4A52≹⇙⪍⋰*⋻2143)⩖⊿(⋰*⋻3038⋣⋖⋰*⋻2982⨵⪆(⋰*⋻1924⋫))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2673,"operation_count":15,"complexity_ratio":178.2,"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":1736,"base":11},"right_expr":{"type":"numeric_atoms","value":2397,"base":11}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2117,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1677,"base":11}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1480,"base":11},"right_expr":{"type":"numeric_atoms","value":2380,"base":11}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4613,"base":11},"right_expr":{"type":"numeric_atoms","value":3872,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6591,"base":11},"right_expr":{"type":"numeric_atoms","value":2830,"base":11}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4034,"base":11},"right_expr":{"type":"numeric_atoms","value":3841,"base":11}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2446,"base":11}}}}},"used_operators":["3sJ7IOPOlU","AdZkA7nFnk","QMFrweE19q","0ajvFaJAv0","AvED76WdY7","NTOWxs364D","ZNVVrZ94lY","L05ObWFQCd","RZ5CV9rWsJ","oacrs7FA3X","1aApVXNlOP","AHs5Up7iyr","2DQ55sFlQl","J0M6qkBnIM","JL8yIekQnl"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tmPS8pqC7x"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1736","layer":4},{"info":"number node, value=2397","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=2397, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2117","layer":4},{"info":"compute unary expreesion, input=2117, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=11632","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=11632, 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=24847","layer":2},{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=1480","layer":4},{"info":"number node, value=2380","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=2380, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-12943","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=-12943, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=12400","layer":2},{"info":"compute binary expreesion, left_input=24847, right_input=12400, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=4613","layer":4},{"info":"number node, value=3872","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=3872, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-268","layer":3},{"info":"number node, value=6591","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=6591, right_input=2830, 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=-268, 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=4034","layer":4},{"info":"number node, value=3841","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=3841, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4034","layer":3},{"info":"number node, value=2446","layer":4},{"info":"compute unary expreesion, input=2446, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2446","layer":3},{"info":"compute binary expreesion, left_input=4034, right_input=2446, 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 = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1339⫁⋰*⋻188A⫡⨏(⊵⊁⋰*⋻1655))⋅⇍(⪁⇼⋰*⋻1295)⩚⊴⇥⋰*⋻1126⪍↜⋙⋰*⋻1874)⪇≇⋚((⋰*⋻3514⩇∃⫛⋰*⋻2A00)⪘⫢⋰*⋻4A52≹⇙⪍⋰*⋻2143)⩖⊿(⋰*⋻3038⋣⋖⋰*⋻2982⨵⪆(⋰*⋻1924⋫))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻1339⫁⋰*⋻188A⫡⨏(⊵⊁⋰*⋻1655))⋅⇍(⪁⇼⋰*⋻1295)⩚⊴⇥⋰*⋻1126⪍↜⋙⋰*⋻1874)⪇≇⋚((⋰*⋻3514⩇∃⫛⋰*⋻2A00)⪘⫢⋰*⋻4A52≹⇙⪍⋰*⋻2143)⩖⊿(⋰*⋻3038⋣⋖⋰*⋻2982⨵⪆(⋰*⋻1924⋫))","cot":[{"info":"⋰*⋻1339⫁⋰*⋻188A=⋰*⋻136","layer":3},{"info":"⊵⊁⋰*⋻1655=⋰*⋻8815","layer":3},{"info":"⋰*⋻136⫡⨏⋰*⋻8815=⋰*⋻17739","layer":2},{"info":"⪁⇼⋰*⋻1295=⋰*⋻354","layer":3},{"info":"⋰*⋻1126⪍↜⋙⋰*⋻1874=⋰*⋻-97A7","layer":3},{"info":"⋰*⋻354⩚⊴⇥⋰*⋻-97A7=⋰*⋻9353","layer":2},{"info":"⋰*⋻17739⋅⇍⋰*⋻9353=⋰*⋻-20","layer":1},{"info":"⋰*⋻3514⩇∃⫛⋰*⋻2A00=⋰*⋻-224","layer":3},{"info":"⋰*⋻4A52≹⇙⪍⋰*⋻2143=NaN","layer":3},{"info":"⋰*⋻-224⪘⫢NaN=NaN","layer":2},{"info":"⋰*⋻3038⋣⋖⋰*⋻2982=⋰*⋻3038","layer":3},{"info":"⋰*⋻1924⋫=⋰*⋻1924","layer":3},{"info":"⋰*⋻3038⨵⪆⋰*⋻1924=⋰*⋻136","layer":2},{"info":"NaN⩖⊿⋰*⋻136=NaN","layer":1},{"info":"⋰*⋻-20⪇≇⋚NaN=⋰*⋻0","layer":0}]}
{"id":795,"expression_no_base_symbol":"⨆≐≲(($1524$∊∟⩊$1717$)⪝(↡$2047$)⨑≵⋬($1016$↦)⩒⫫($1356$⊨$3825$))","expression":"⨆≐≲((⋰*⋻1166∊∟⩊⋰*⋻1321)⪝(↡⋰*⋻15A1)⨑≵⋬(⋰*⋻844↦)⩒⫫(⋰*⋻1023⊨⋰*⋻2968))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":224654,"operation_count":8,"complexity_ratio":28081.75,"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":1524,"base":11},"right_expr":{"type":"numeric_atoms","value":1717,"base":11}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2047,"base":11}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1016,"base":11}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1356,"base":11},"right_expr":{"type":"numeric_atoms","value":3825,"base":11}}}}},"used_operators":["Bi9z9uYZqW","XnXgA4xnOs","wicAB68Tmb","ddLRYrp01A","MXaNJeIAZ3","KFSx94NKJn","fFznvYxMfW","vg4gO5BX6G"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⋰*⋻-1056A6","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=1717, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1717","layer":3},{"info":"number node, value=2047","layer":4},{"info":"compute unary expreesion, input=2047, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=18423","layer":3},{"info":"compute binary expreesion, left_input=1717, right_input=18423, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"number node, value=1356","layer":4},{"info":"number node, value=3825","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=3825, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6455","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6455, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=237, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":11,"result_base":11,"text":"⨆≐≲((⋰*⋻1166∊∟⩊⋰*⋻1321)⪝(↡⋰*⋻15A1)⨑≵⋬(⋰*⋻844↦)⩒⫫(⋰*⋻1023⊨⋰*⋻2968))=⋰*⋻-1056A6","reverse_text":"⋰*⋻-1056A6=⨆≐≲((⋰*⋻1166∊∟⩊⋰*⋻1321)⪝(↡⋰*⋻15A1)⨑≵⋬(⋰*⋻844↦)⩒⫫(⋰*⋻1023⊨⋰*⋻2968))","cot":[{"info":"⋰*⋻1166∊∟⩊⋰*⋻1321=⋰*⋻1321","layer":3},{"info":"↡⋰*⋻15A1=⋰*⋻12929","layer":3},{"info":"⋰*⋻1321⪝⋰*⋻12929=⋰*⋻1A6","layer":2},{"info":"⋰*⋻844↦=NaN","layer":3},{"info":"⋰*⋻1023⊨⋰*⋻2968=⋰*⋻4939","layer":3},{"info":"NaN⩒⫫⋰*⋻4939=NaN","layer":2},{"info":"⋰*⋻1A6⨑≵⋬NaN=NaN","layer":1},{"info":"⨆≐≲NaN=⋰*⋻-1056A6","layer":0}]}
{"id":796,"expression_no_base_symbol":"($1909$⪇≇⋚$6999$)⋹⋡⊁($1158$⫣⪄⊒$4886$)⩣⫁∢(⩷($1896$⇷$4263$))-($3233$⪄$1446$)⇂≾⫗($2027$∪⫐$1168$)≥⨤⩑($2054$⨸⪁$4772$⨸⪁($1227$⪁$1125$))","expression":"(⋰*⋻1486⪇≇⋚⋰*⋻5293)⋹⋡⊁(⋰*⋻963⫣⪄⊒⋰*⋻3742)⩣⫁∢(⩷(⋰*⋻1474⇷⋰*⋻3226))-(⋰*⋻247A⪄⋰*⋻10A5)⇂≾⫗(⋰*⋻1583∪⫐⋰*⋻972)≥⨤⩑(⋰*⋻15A8⨸⪁⋰*⋻3649⨸⪁(⋰*⋻A16⪁⋰*⋻933))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19319392,"operation_count":14,"complexity_ratio":1379956.5714285714,"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":1909,"base":11},"right_expr":{"type":"numeric_atoms","value":6999,"base":11}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1158,"base":11},"right_expr":{"type":"numeric_atoms","value":4886,"base":11}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1896,"base":11},"right_expr":{"type":"numeric_atoms","value":4263,"base":11}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3233,"base":11},"right_expr":{"type":"numeric_atoms","value":1446,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2027,"base":11},"right_expr":{"type":"numeric_atoms","value":1168,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2054,"base":11},"right_expr":{"type":"numeric_atoms","value":4772,"base":11}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1227,"base":11},"right_expr":{"type":"numeric_atoms","value":1125,"base":11}}}}},"used_operators":["rysDP5nf3Z","JDUIKTTSIa","As8RqfVLgs","3sJ7IOPOlU","RabNbG55vr","1h0rLqGiFr","mp7IySMOzn","gJLn6v0xnP","aBQ6xLxuTc","SUmda5xLS4","7YooWSwCyH","g55IO6H4Gj","I7sXao9hZE"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⋰*⋻315","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1909","layer":4},{"info":"number node, value=6999","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=6999, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=4886","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=4886, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-27512","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-27512, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-262","layer":2},{"info":"number node, value=1896","layer":4},{"info":"number node, value=4263","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=4263, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8526","layer":3},{"info":"compute unary expreesion, input=8526, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-102391","layer":2},{"info":"compute binary expreesion, left_input=-262, right_input=-102391, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=1613","layer":1},{"info":"number node, value=3233","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=3233, right_input=1446, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-480357","layer":3},{"info":"number node, value=2027","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=1168, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2027","layer":3},{"info":"compute binary expreesion, left_input=-480357, right_input=2027, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"number node, value=2054","layer":4},{"info":"number node, value=4772","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=4772, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13652","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=1125, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13652, 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=-670, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=1613, right_input=1234, op_id = rysDP5nf3Z binary_op_definition= 'None', output=379","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1486⪇≇⋚⋰*⋻5293)⋹⋡⊁(⋰*⋻963⫣⪄⊒⋰*⋻3742)⩣⫁∢(⩷(⋰*⋻1474⇷⋰*⋻3226))-(⋰*⋻247A⪄⋰*⋻10A5)⇂≾⫗(⋰*⋻1583∪⫐⋰*⋻972)≥⨤⩑(⋰*⋻15A8⨸⪁⋰*⋻3649⨸⪁(⋰*⋻A16⪁⋰*⋻933))=⋰*⋻315","reverse_text":"⋰*⋻315=(⋰*⋻1486⪇≇⋚⋰*⋻5293)⋹⋡⊁(⋰*⋻963⫣⪄⊒⋰*⋻3742)⩣⫁∢(⩷(⋰*⋻1474⇷⋰*⋻3226))-(⋰*⋻247A⪄⋰*⋻10A5)⇂≾⫗(⋰*⋻1583∪⫐⋰*⋻972)≥⨤⩑(⋰*⋻15A8⨸⪁⋰*⋻3649⨸⪁(⋰*⋻A16⪁⋰*⋻933))","cot":[{"info":"⋰*⋻1486⪇≇⋚⋰*⋻5293=⋰*⋻0","layer":3},{"info":"⋰*⋻963⫣⪄⊒⋰*⋻3742=⋰*⋻-19741","layer":3},{"info":"⋰*⋻0⋹⋡⊁⋰*⋻-19741=⋰*⋻-219","layer":2},{"info":"⋰*⋻1474⇷⋰*⋻3226=⋰*⋻6451","layer":3},{"info":"⩷⋰*⋻6451=⋰*⋻-6AA23","layer":2},{"info":"⋰*⋻-219⩣⫁∢⋰*⋻-6AA23=⋰*⋻1237","layer":1},{"info":"⋰*⋻247A⪄⋰*⋻10A5=⋰*⋻-2A8999","layer":3},{"info":"⋰*⋻1583∪⫐⋰*⋻972=⋰*⋻1583","layer":3},{"info":"⋰*⋻-2A8999⇂≾⫗⋰*⋻1583=⋰*⋻-55A","layer":2},{"info":"⋰*⋻15A8⨸⪁⋰*⋻3649=⋰*⋻A291","layer":3},{"info":"⋰*⋻A16⪁⋰*⋻933=NaN","layer":3},{"info":"⋰*⋻A291⨸⪁NaN=NaN","layer":2},{"info":"⋰*⋻-55A≥⨤⩑NaN=⋰*⋻A22","layer":1},{"info":"⋰*⋻1237-⋰*⋻A22=⋰*⋻315","layer":0}]}
{"id":797,"expression_no_base_symbol":"((∐⩳⋚$4470$)∩⋅)⋭≵(⊲⪭$2345$)⫁(⩦⩻⨪$3952$)⫡⨏(⫇($4915$⫚↹⊑$6172$))∓⋝(⫛⫱⨽($3909$⨰$7139$))","expression":"((∐⩳⋚⋰*⋻33A4)∩⋅)⋭≵(⊲⪭⋰*⋻1842)⫁(⩦⩻⨪⋰*⋻2A73)⫡⨏(⫇(⋰*⋻3769⫚↹⊑⋰*⋻4701))∓⋝(⫛⫱⨽(⋰*⋻2A34⨰⋰*⋻5400))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1815,"operation_count":12,"complexity_ratio":151.25,"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":4470,"base":11}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2345,"base":11}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3952,"base":11}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4915,"base":11},"right_expr":{"type":"numeric_atoms","value":6172,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3909,"base":11},"right_expr":{"type":"numeric_atoms","value":7139,"base":11}}}}},"used_operators":["QMFrweE19q","jBncVCNhdl","2MzE1hQ0cz","SL6IHkK8vl","0ajvFaJAv0","k7HXdKtiEU","2td37pGCOC","PoHhknlbAi","YjI8oCXuph","dfKe02y8D2","DlLNRPXxWL","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Qy55tPpLXF","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","cHh1gJQ2o6","AHs5Up7iyr","i8ToyICDmI","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-4527","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4470","layer":4},{"info":"compute unary expreesion, input=4470, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=656587","layer":3},{"info":"compute unary expreesion, input=656587, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-656466","layer":2},{"info":"number node, value=2345","layer":4},{"info":"compute unary expreesion, input=2345, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2519","layer":3},{"info":"number node, value=3952","layer":4},{"info":"compute unary expreesion, input=3952, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3952","layer":3},{"info":"compute binary expreesion, left_input=-2519, right_input=3952, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-656466, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=4915","layer":4},{"info":"number node, value=6172","layer":4},{"info":"compute binary expreesion, left_input=4915, right_input=6172, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=499","layer":2},{"info":"number node, value=3909","layer":4},{"info":"number node, value=7139","layer":4},{"info":"compute binary expreesion, left_input=3909, right_input=7139, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3220","layer":3},{"info":"compute unary expreesion, input=-3220, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=499, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3538","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-3538, 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=-5958","layer":0}],"base":11,"result_base":11,"text":"((∐⩳⋚⋰*⋻33A4)∩⋅)⋭≵(⊲⪭⋰*⋻1842)⫁(⩦⩻⨪⋰*⋻2A73)⫡⨏(⫇(⋰*⋻3769⫚↹⊑⋰*⋻4701))∓⋝(⫛⫱⨽(⋰*⋻2A34⨰⋰*⋻5400))=⋰*⋻-4527","reverse_text":"⋰*⋻-4527=((∐⩳⋚⋰*⋻33A4)∩⋅)⋭≵(⊲⪭⋰*⋻1842)⫁(⩦⩻⨪⋰*⋻2A73)⫡⨏(⫇(⋰*⋻3769⫚↹⊑⋰*⋻4701))∓⋝(⫛⫱⨽(⋰*⋻2A34⨰⋰*⋻5400))","cot":[{"info":"∐⩳⋚⋰*⋻33A4=⋰*⋻409338","layer":3},{"info":"⋰*⋻409338∩⋅=⋰*⋻-409238","layer":2},{"info":"⊲⪭⋰*⋻1842=⋰*⋻-1990","layer":3},{"info":"⩦⩻⨪⋰*⋻2A73=⋰*⋻2A73","layer":3},{"info":"⋰*⋻-1990⫁⋰*⋻2A73=⋰*⋻136","layer":2},{"info":"⋰*⋻-409238⋭≵⋰*⋻136=⋰*⋻61","layer":1},{"info":"⋰*⋻3769⫚↹⊑⋰*⋻4701=⋰*⋻-377","layer":3},{"info":"⫇⋰*⋻-377=⋰*⋻414","layer":2},{"info":"⋰*⋻2A34⨰⋰*⋻5400=⋰*⋻-2468","layer":3},{"info":"⫛⫱⨽⋰*⋻-2468=⋰*⋻0","layer":2},{"info":"⋰*⋻414∓⋝⋰*⋻0=⋰*⋻-2727","layer":1},{"info":"⋰*⋻61⫡⨏⋰*⋻-2727=⋰*⋻-4527","layer":0}]}
{"id":798,"expression_no_base_symbol":"⋠∜($3522$⨔⇊$5584$⇍⊗(⨑⩽⪐$1743$)⫲≸⪮((⫖→$5408$)⫲⨊))","expression":"⋠∜(⋰*⋻2712⨔⇊⋰*⋻4217⇍⊗(⨑⩽⪐⋰*⋻1345)⫲≸⪮((⫖→⋰*⋻4077)⫲⨊))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6356,"operation_count":7,"complexity_ratio":908.0,"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":3522,"base":11},"right_expr":{"type":"numeric_atoms","value":5584,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1743,"base":11}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":5408,"base":11}}}}},"used_operators":["ZJpFhNJr3x","P3lXMJvFrc","5uvYHDjeKN","JclMnS0uGI","AF7qkfDlqP","CArV6hThFE","U4ylXWHChL"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"⋰*⋻A8A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3522","layer":4},{"info":"number node, value=5584","layer":4},{"info":"compute binary expreesion, left_input=3522, right_input=5584, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5584","layer":3},{"info":"number node, value=1743","layer":4},{"info":"compute unary expreesion, input=1743, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1470","layer":3},{"info":"compute binary expreesion, left_input=5584, right_input=-1470, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=5408","layer":4},{"info":"compute unary expreesion, input=5408, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=1668","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=1668, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-244","layer":1},{"info":"compute unary expreesion, input=-244, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=1308","layer":0}],"base":11,"result_base":11,"text":"⋠∜(⋰*⋻2712⨔⇊⋰*⋻4217⇍⊗(⨑⩽⪐⋰*⋻1345)⫲≸⪮((⫖→⋰*⋻4077)⫲⨊))=⋰*⋻A8A","reverse_text":"⋰*⋻A8A=⋠∜(⋰*⋻2712⨔⇊⋰*⋻4217⇍⊗(⨑⩽⪐⋰*⋻1345)⫲≸⪮((⫖→⋰*⋻4077)⫲⨊))","cot":[{"info":"⋰*⋻2712⨔⇊⋰*⋻4217=⋰*⋻4217","layer":3},{"info":"⨑⩽⪐⋰*⋻1345=⋰*⋻-1117","layer":3},{"info":"⋰*⋻4217⇍⊗⋰*⋻-1117=⋰*⋻-202","layer":2},{"info":"⫖→⋰*⋻4077=⋰*⋻151","layer":3},{"info":"⋰*⋻151⫲⨊=⋰*⋻1287","layer":2},{"info":"⋰*⋻-202⫲≸⪮⋰*⋻1287=⋰*⋻-202","layer":1},{"info":"⋠∜⋰*⋻-202=⋰*⋻A8A","layer":0}]}
{"id":799,"expression_no_base_symbol":"(⫟(($1414$⋥≓≎$1097$)⊍))∀⇚≩$6528$≴⪞⇿$3678$⨼⩣($5495$⊹∫⫚$4585$)⨫⇇↔($2995$⇴∐$1424$⫢⨠($1154$⩹$6243$))","expression":"(⫟((⋰*⋻1076⋥≓≎⋰*⋻908)⊍))∀⇚≩⋰*⋻49A5≴⪞⇿⋰*⋻2844⨼⩣(⋰*⋻4146⊹∫⫚⋰*⋻3499)⨫⇇↔(⋰*⋻2283⇴∐⋰*⋻1085⫢⨠(⋰*⋻95A⩹⋰*⋻4766))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":287091,"operation_count":11,"complexity_ratio":26099.18181818182,"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":1414,"base":11},"right_expr":{"type":"numeric_atoms","value":1097,"base":11}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6528,"base":11},"right_expr":{"type":"numeric_atoms","value":3678,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5495,"base":11},"right_expr":{"type":"numeric_atoms","value":4585,"base":11}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2995,"base":11},"right_expr":{"type":"numeric_atoms","value":1424,"base":11}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1154,"base":11},"right_expr":{"type":"numeric_atoms","value":6243,"base":11}}}}},"used_operators":["LRNGc0VcxI","z4E1FaHLuy","3nqY3DE9mg","Qy55tPpLXF","LXhwmt4mBO","JxwMv5le6e","lvlrscuwVU","uWAJUKEvyW","xlXykHWxX1","HnzytWxmAO","2Wsdkap16l"],"dependent_operators":["X99M06cbEe","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1414","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=1097, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=813","layer":3},{"info":"compute unary expreesion, input=813, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=759","layer":2},{"info":"compute unary expreesion, input=759, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-1370","layer":1},{"info":"number node, value=6528","layer":4},{"info":"number node, value=3678","layer":4},{"info":"compute binary expreesion, left_input=6528, right_input=3678, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=78250284","layer":3},{"info":"number node, value=5495","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=5495, right_input=4585, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-272","layer":3},{"info":"compute binary expreesion, left_input=78250284, right_input=-272, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2995","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=2995, right_input=1424, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=6243","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=6243, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=6241","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6241, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-1370, right_input=-527, 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":11,"result_base":11,"text":"(⫟((⋰*⋻1076⋥≓≎⋰*⋻908)⊍))∀⇚≩⋰*⋻49A5≴⪞⇿⋰*⋻2844⨼⩣(⋰*⋻4146⊹∫⫚⋰*⋻3499)⨫⇇↔(⋰*⋻2283⇴∐⋰*⋻1085⫢⨠(⋰*⋻95A⩹⋰*⋻4766))=NaN","reverse_text":"NaN=(⫟((⋰*⋻1076⋥≓≎⋰*⋻908)⊍))∀⇚≩⋰*⋻49A5≴⪞⇿⋰*⋻2844⨼⩣(⋰*⋻4146⊹∫⫚⋰*⋻3499)⨫⇇↔(⋰*⋻2283⇴∐⋰*⋻1085⫢⨠(⋰*⋻95A⩹⋰*⋻4766))","cot":[{"info":"⋰*⋻1076⋥≓≎⋰*⋻908=⋰*⋻67A","layer":3},{"info":"⋰*⋻67A⊍=⋰*⋻630","layer":2},{"info":"⫟⋰*⋻630=⋰*⋻-1036","layer":1},{"info":"⋰*⋻49A5≴⪞⇿⋰*⋻2844=⋰*⋻40196662","layer":3},{"info":"⋰*⋻4146⊹∫⫚⋰*⋻3499=⋰*⋻-228","layer":3},{"info":"⋰*⋻40196662⨼⩣⋰*⋻-228=NaN","layer":2},{"info":"⋰*⋻2283⇴∐⋰*⋻1085=NaN","layer":3},{"info":"⋰*⋻95A⩹⋰*⋻4766=⋰*⋻4764","layer":3},{"info":"NaN⫢⨠⋰*⋻4764=NaN","layer":2},{"info":"NaN⨫⇇↔NaN=⋰*⋻-43A","layer":1},{"info":"⋰*⋻-1036∀⇚≩⋰*⋻-43A=NaN","layer":0}]}
{"id":800,"expression_no_base_symbol":"⫎≠⋺(⫓⪴($2130$∳⫺$1002$)⨿(≉$1050$))","expression":"⫎≠⋺(⫓⪴(⋰*⋻1667∳⫺⋰*⋻831)⨿(≉⋰*⋻875))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1325,"operation_count":5,"complexity_ratio":265.0,"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":2130,"base":11},"right_expr":{"type":"numeric_atoms","value":1002,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1050,"base":11}}}}},"used_operators":["LYeZOJ0nQG","eLxqMNBOBk","abYXlopdE0","AzXXKTstlj","e1ybzncUwg"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2130","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2130, right_input=1002, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1581","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=1581, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4489","layer":1},{"info":"compute unary expreesion, input=4489, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"⫎≠⋺(⫓⪴(⋰*⋻1667∳⫺⋰*⋻831)⨿(≉⋰*⋻875))=⋰*⋻0","reverse_text":"⋰*⋻0=⫎≠⋺(⫓⪴(⋰*⋻1667∳⫺⋰*⋻831)⨿(≉⋰*⋻875))","cot":[{"info":"⋰*⋻1667∳⫺⋰*⋻831=⋰*⋻-217","layer":3},{"info":"≉⋰*⋻875=⋰*⋻1208","layer":3},{"info":"⋰*⋻-217⨿⋰*⋻1208=⋰*⋻61","layer":2},{"info":"⫓⪴⋰*⋻61=⋰*⋻3411","layer":1},{"info":"⫎≠⋺⋰*⋻3411=⋰*⋻0","layer":0}]}
{"id":801,"expression_no_base_symbol":"$4146$∊∟⩊$3212$⪨⊡(≔$1657$)⨳⩥⨓(($6423$⫒⫫$1599$)⪣⫩)-$4942$∛$1587$⪢(⩩$5556$)≳⇉(⊥(⨭⩧⫛$2075$))","expression":"⋰*⋻312A∊∟⩊⋰*⋻2460⪨⊡(≔⋰*⋻1277)⨳⩥⨓((⋰*⋻490A⫒⫫⋰*⋻1224)⪣⫩)-⋰*⋻3793∛⋰*⋻1213⪢(⩩⋰*⋻41A1)≳⇉(⊥(⨭⩧⫛⋰*⋻1617))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6758,"operation_count":13,"complexity_ratio":519.8461538461538,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4146,"base":11},"right_expr":{"type":"numeric_atoms","value":3212,"base":11}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1657,"base":11}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":6423,"base":11},"right_expr":{"type":"numeric_atoms","value":1599,"base":11}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4942,"base":11},"right_expr":{"type":"numeric_atoms","value":1587,"base":11}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":5556,"base":11}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2075,"base":11}}}}},"used_operators":["rysDP5nf3Z","nCS4ZIUYfx","kuIXHzHcAH","ddLRYrp01A","8FLs4eVsLt","iuk5sVOGFA","6Ko8hGgeMq","V0kx6qeWkN","dWAJyo7jo9","w2537kitQq","kMhfGuqI2H","Q3PJZHRvZv","g21JL6JxX7"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","k8jYdgA6NY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","fu6greOZ01","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4146","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=4146, right_input=3212, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3212","layer":3},{"info":"number node, value=1657","layer":4},{"info":"compute unary expreesion, input=1657, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-45102","layer":3},{"info":"compute binary expreesion, left_input=3212, right_input=-45102, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=181197","layer":2},{"info":"number node, value=6423","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=6423, right_input=1599, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=181197, right_input=913, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-180284","layer":1},{"info":"number node, value=4942","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=4942, right_input=1587, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=5556","layer":4},{"info":"compute unary expreesion, input=5556, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, 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=2075","layer":4},{"info":"compute unary expreesion, input=2075, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', 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 = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-180284, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻312A∊∟⩊⋰*⋻2460⪨⊡(≔⋰*⋻1277)⨳⩥⨓((⋰*⋻490A⫒⫫⋰*⋻1224)⪣⫩)-⋰*⋻3793∛⋰*⋻1213⪢(⩩⋰*⋻41A1)≳⇉(⊥(⨭⩧⫛⋰*⋻1617))=NaN","reverse_text":"NaN=⋰*⋻312A∊∟⩊⋰*⋻2460⪨⊡(≔⋰*⋻1277)⨳⩥⨓((⋰*⋻490A⫒⫫⋰*⋻1224)⪣⫩)-⋰*⋻3793∛⋰*⋻1213⪢(⩩⋰*⋻41A1)≳⇉(⊥(⨭⩧⫛⋰*⋻1617))","cot":[{"info":"⋰*⋻312A∊∟⩊⋰*⋻2460=⋰*⋻2460","layer":3},{"info":"≔⋰*⋻1277=⋰*⋻-30982","layer":3},{"info":"⋰*⋻2460⪨⊡⋰*⋻-30982=⋰*⋻114155","layer":2},{"info":"⋰*⋻490A⫒⫫⋰*⋻1224=NaN","layer":3},{"info":"NaN⪣⫩=⋰*⋻760","layer":2},{"info":"⋰*⋻114155⨳⩥⨓⋰*⋻760=⋰*⋻-1134A5","layer":1},{"info":"⋰*⋻3793∛⋰*⋻1213=⋰*⋻61","layer":3},{"info":"⩩⋰*⋻41A1=NaN","layer":3},{"info":"⋰*⋻61⪢NaN=NaN","layer":2},{"info":"⨭⩧⫛⋰*⋻1617=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"NaN≳⇉NaN=NaN","layer":1},{"info":"⋰*⋻-1134A5-NaN=NaN","layer":0}]}
{"id":802,"expression_no_base_symbol":"(($8219$⪨⊡$2320$)∥⊢⊲(⩏⊷≩$2494$)-(($3957$⫸⊐$3756$)⪑⩈))↸(≉$1569$)⊉↱≁($1018$∇⊂⋱$1080$)⪛⫼(↑(⩦⩻⨪$2771$))","expression":"((⋰*⋻61A2⪨⊡⋰*⋻181A)∥⊢⊲(⩏⊷≩⋰*⋻1968)-((⋰*⋻2A78⫸⊐⋰*⋻2905)⪑⩈))↸(≉⋰*⋻11A7)⊉↱≁(⋰*⋻846∇⊂⋱⋰*⋻8A2)⪛⫼(↑(⩦⩻⨪⋰*⋻209A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":496,"operation_count":13,"complexity_ratio":38.15384615384615,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":8219,"base":11},"right_expr":{"type":"numeric_atoms","value":2320,"base":11}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2494,"base":11}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3957,"base":11},"right_expr":{"type":"numeric_atoms","value":3756,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1569,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":1080,"base":11}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2771,"base":11}}}}},"used_operators":["1eCjFl0mb9","rysDP5nf3Z","v1UQAVDJRr","kuIXHzHcAH","uOZ1tnYMDE","C6VvDP6HwP","mqXw5SEYmG","hyuBjUqXlG","w2P8NbNXyL","e1ybzncUwg","nhYeJWJD5X","tR7O2zTn5j","2td37pGCOC"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","EBcxylXtPf","rGHVDoGpnC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8219","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=8219, right_input=2320, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2494","layer":4},{"info":"compute unary expreesion, input=2494, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4687","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4687, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=3957","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=3756, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14899","layer":3},{"info":"compute unary expreesion, input=14899, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=105883","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=105883, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1569","layer":4},{"info":"compute unary expreesion, input=1569, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2100","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1080, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1490","layer":3},{"info":"compute binary expreesion, left_input=2100, right_input=1490, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=12008","layer":2},{"info":"number node, value=2771","layer":4},{"info":"compute unary expreesion, input=2771, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2771","layer":3},{"info":"compute unary expreesion, input=2771, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=12008, right_input=192, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻61A2⪨⊡⋰*⋻181A)∥⊢⊲(⩏⊷≩⋰*⋻1968)-((⋰*⋻2A78⫸⊐⋰*⋻2905)⪑⩈))↸(≉⋰*⋻11A7)⊉↱≁(⋰*⋻846∇⊂⋱⋰*⋻8A2)⪛⫼(↑(⩦⩻⨪⋰*⋻209A))=NaN","reverse_text":"NaN=((⋰*⋻61A2⪨⊡⋰*⋻181A)∥⊢⊲(⩏⊷≩⋰*⋻1968)-((⋰*⋻2A78⫸⊐⋰*⋻2905)⪑⩈))↸(≉⋰*⋻11A7)⊉↱≁(⋰*⋻846∇⊂⋱⋰*⋻8A2)⪛⫼(↑(⩦⩻⨪⋰*⋻209A))","cot":[{"info":"⋰*⋻61A2⪨⊡⋰*⋻181A=⋰*⋻0","layer":3},{"info":"⩏⊷≩⋰*⋻1968=⋰*⋻3581","layer":3},{"info":"⋰*⋻0∥⊢⊲⋰*⋻3581=NaN","layer":2},{"info":"⋰*⋻2A78⫸⊐⋰*⋻2905=⋰*⋻10215","layer":3},{"info":"⋰*⋻10215⪑⩈=⋰*⋻72608","layer":2},{"info":"NaN-⋰*⋻72608=NaN","layer":1},{"info":"≉⋰*⋻11A7=⋰*⋻163A","layer":3},{"info":"⋰*⋻846∇⊂⋱⋰*⋻8A2=⋰*⋻1135","layer":3},{"info":"⋰*⋻163A⊉↱≁⋰*⋻1135=⋰*⋻9027","layer":2},{"info":"⩦⩻⨪⋰*⋻209A=⋰*⋻209A","layer":3},{"info":"↑⋰*⋻209A=⋰*⋻165","layer":2},{"info":"⋰*⋻9027⪛⫼⋰*⋻165=⋰*⋻800","layer":1},{"info":"NaN↸⋰*⋻800=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"(↩⪖$7676$⨂≜$1623$⇻⋧≁($3901$⊔$4984$))⪣⫩","expression":"(↩⪖⋰*⋻5849⨂≜⋰*⋻1246⇻⋧≁(⋰*⋻2A27⊔⋰*⋻3821))⪣⫩","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7928,"operation_count":5,"complexity_ratio":1585.6,"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":7676,"base":11},"right_expr":{"type":"numeric_atoms","value":1623,"base":11}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3901,"base":11},"right_expr":{"type":"numeric_atoms","value":4984,"base":11}}}}},"used_operators":["iuk5sVOGFA","fG6uBQFnGz","jCPkEVoL5K","k1SHOSEABc","E4l6HwMY31"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⋰*⋻760","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7676","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=7676, right_input=1623, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3901","layer":4},{"info":"number node, value=4984","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=4984, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=30322","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=30322, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":11,"result_base":11,"text":"(↩⪖⋰*⋻5849⨂≜⋰*⋻1246⇻⋧≁(⋰*⋻2A27⊔⋰*⋻3821))⪣⫩=⋰*⋻760","reverse_text":"⋰*⋻760=(↩⪖⋰*⋻5849⨂≜⋰*⋻1246⇻⋧≁(⋰*⋻2A27⊔⋰*⋻3821))⪣⫩","cot":[{"info":"⋰*⋻5849⨂≜⋰*⋻1246=NaN","layer":3},{"info":"⋰*⋻2A27⊔⋰*⋻3821=⋰*⋻20866","layer":3},{"info":"NaN⇻⋧≁⋰*⋻20866=NaN","layer":2},{"info":"↩⪖NaN=NaN","layer":1},{"info":"NaN⪣⫩=⋰*⋻760","layer":0}]}
{"id":804,"expression_no_base_symbol":"⊤⊝(($4224$⨿$1438$⊋≦⊧$1648$⊢$2293$)⫩)","expression":"⊤⊝((⋰*⋻31A0⨿⋰*⋻1098⊋≦⊧⋰*⋻1269⊢⋰*⋻17A5)⫩)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":462,"operation_count":5,"complexity_ratio":92.4,"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":4224,"base":11},"right_expr":{"type":"numeric_atoms","value":1438,"base":11}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1648,"base":11},"right_expr":{"type":"numeric_atoms","value":2293,"base":11}}}}},"used_operators":["rXAclfmB4M","6aG7x05OhS","oRDoc9rAEX","abYXlopdE0","5twsqlHp2o"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4224","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=1438, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1648","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=2293, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3540","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-3540, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊤⊝((⋰*⋻31A0⨿⋰*⋻1098⊋≦⊧⋰*⋻1269⊢⋰*⋻17A5)⫩)=NaN","reverse_text":"NaN=⊤⊝((⋰*⋻31A0⨿⋰*⋻1098⊋≦⊧⋰*⋻1269⊢⋰*⋻17A5)⫩)","cot":[{"info":"⋰*⋻31A0⨿⋰*⋻1098=⋰*⋻-270","layer":3},{"info":"⋰*⋻1269⊢⋰*⋻17A5=⋰*⋻-2729","layer":3},{"info":"⋰*⋻-270⊋≦⊧⋰*⋻-2729=⋰*⋻165","layer":2},{"info":"⋰*⋻165⫩=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"(($1028$⩒⫫$1201$)↤⩊($4205$⩺⪪$2017$)∀⇚≩((⊙↵-$1899$)≃$5220$≌$2021$))⨼⩣($3635$↹⊜$4159$⫁⪎($2073$⋥≓≎$1728$)⩚⊴⇥($1149$⨕⋳)⪍↜⋙$4776$⨻⩈⩔$3296$)","expression":"((⋰*⋻855⩒⫫⋰*⋻9A2)↤⩊(⋰*⋻3183⩺⪪⋰*⋻1574)∀⇚≩((⊙↵-⋰*⋻1477)≃⋰*⋻3A16≌⋰*⋻1578))⨼⩣(⋰*⋻2805↹⊜⋰*⋻3141⫁⪎(⋰*⋻1615⋥≓≎⋰*⋻1331)⩚⊴⇥(⋰*⋻955⨕⋳)⪍↜⋙⋰*⋻3652⨻⩈⩔⋰*⋻2527)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5063,"operation_count":15,"complexity_ratio":337.53333333333336,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":1201,"base":11}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4205,"base":11},"right_expr":{"type":"numeric_atoms","value":2017,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1899,"base":11}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5220,"base":11},"right_expr":{"type":"numeric_atoms","value":2021,"base":11}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3635,"base":11},"right_expr":{"type":"numeric_atoms","value":4159,"base":11}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2073,"base":11},"right_expr":{"type":"numeric_atoms","value":1728,"base":11}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1149,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4776,"base":11},"right_expr":{"type":"numeric_atoms","value":3296,"base":11}}}}},"used_operators":["JxwMv5le6e","LRNGc0VcxI","13rbtpv6ld","KFSx94NKJn","uvdQJvN4PV","YbVcJGFEVW","oWn0xqSxBt","lyWz822IDG","NTOWxs364D","xRrnTEsQ6j","9bazX3JMtO","Qy55tPpLXF","L05ObWFQCd","4X4GscPmMf","nEsXyWgiOK"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","X99M06cbEe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1201, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=726","layer":3},{"info":"number node, value=4205","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=4205, right_input=2017, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-35906","layer":3},{"info":"compute binary expreesion, left_input=726, right_input=-35906, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5220","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=5220, right_input=2021, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":2},{"info":"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=3635","layer":4},{"info":"number node, value=4159","layer":4},{"info":"compute binary expreesion, left_input=3635, right_input=4159, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-9462","layer":3},{"info":"number node, value=2073","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=1728, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1416","layer":3},{"info":"compute binary expreesion, left_input=-9462, right_input=1416, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-10878","layer":2},{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=20740","layer":3},{"info":"number node, value=4776","layer":4},{"info":"number node, value=3296","layer":4},{"info":"compute binary expreesion, left_input=4776, right_input=3296, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=29807","layer":3},{"info":"compute binary expreesion, left_input=20740, right_input=29807, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-164097","layer":2},{"info":"compute binary expreesion, left_input=-10878, right_input=-164097, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=174854","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=174854, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻855⩒⫫⋰*⋻9A2)↤⩊(⋰*⋻3183⩺⪪⋰*⋻1574)∀⇚≩((⊙↵-⋰*⋻1477)≃⋰*⋻3A16≌⋰*⋻1578))⨼⩣(⋰*⋻2805↹⊜⋰*⋻3141⫁⪎(⋰*⋻1615⋥≓≎⋰*⋻1331)⩚⊴⇥(⋰*⋻955⨕⋳)⪍↜⋙⋰*⋻3652⨻⩈⩔⋰*⋻2527)=NaN","reverse_text":"NaN=((⋰*⋻855⩒⫫⋰*⋻9A2)↤⩊(⋰*⋻3183⩺⪪⋰*⋻1574)∀⇚≩((⊙↵-⋰*⋻1477)≃⋰*⋻3A16≌⋰*⋻1578))⨼⩣(⋰*⋻2805↹⊜⋰*⋻3141⫁⪎(⋰*⋻1615⋥≓≎⋰*⋻1331)⩚⊴⇥(⋰*⋻955⨕⋳)⪍↜⋙⋰*⋻3652⨻⩈⩔⋰*⋻2527)","cot":[{"info":"⋰*⋻855⩒⫫⋰*⋻9A2=⋰*⋻600","layer":3},{"info":"⋰*⋻3183⩺⪪⋰*⋻1574=⋰*⋻-24A82","layer":3},{"info":"⋰*⋻600↤⩊⋰*⋻-24A82=NaN","layer":2},{"info":"⊙↵-⋰*⋻1477=⋰*⋻-1","layer":3},{"info":"⋰*⋻3A16≌⋰*⋻1578=NaN","layer":3},{"info":"⋰*⋻-1≃NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⋰*⋻2805↹⊜⋰*⋻3141=⋰*⋻-7122","layer":3},{"info":"⋰*⋻1615⋥≓≎⋰*⋻1331=⋰*⋻1078","layer":3},{"info":"⋰*⋻-7122⫁⪎⋰*⋻1078=⋰*⋻-819A","layer":2},{"info":"⋰*⋻955⨕⋳=⋰*⋻14645","layer":3},{"info":"⋰*⋻3652⨻⩈⩔⋰*⋻2527=⋰*⋻20438","layer":3},{"info":"⋰*⋻14645⪍↜⋙⋰*⋻20438=⋰*⋻-10231A","layer":2},{"info":"⋰*⋻-819A⩚⊴⇥⋰*⋻-10231A=⋰*⋻10A409","layer":1},{"info":"NaN⨼⩣⋰*⋻10A409=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"(($2825$≬⇓$1656$)⪶≀⋏(⇨$5256$)∠⫱$1718$∺≝⩲$7049$⩍⋽⫝̸($4058$⪢$5217$))∛(⇐(≀↧⇸$2457$∣$1055$))","expression":"((⋰*⋻2139≬⇓⋰*⋻1276)⪶≀⋏(⇨⋰*⋻3A49)∠⫱⋰*⋻1322∺≝⩲⋰*⋻5329⩍⋽⫝̸(⋰*⋻305A⪢⋰*⋻3A13))∛(⇐(≀↧⇸⋰*⋻1934∣⋰*⋻87A))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5410,"operation_count":11,"complexity_ratio":491.8181818181818,"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":2825,"base":11},"right_expr":{"type":"numeric_atoms","value":1656,"base":11}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":5256,"base":11}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1718,"base":11},"right_expr":{"type":"numeric_atoms","value":7049,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4058,"base":11},"right_expr":{"type":"numeric_atoms","value":5217,"base":11}}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2457,"base":11},"right_expr":{"type":"numeric_atoms","value":1055,"base":11}}}}},"used_operators":["w2537kitQq","QvoQhV0rrE","zR4jO40bMj","jWTQ2TZYIH","G9tJMlZ94a","BiWNJpBvwn","KPf6cnQVty","dWAJyo7jo9","nmZMaaE0Q9","ljTHtUsqzn","PPChnnnBFF"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","k8jYdgA6NY","Ph9nP6C5qx","xUOZtlo3hN","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","k8jYdgA6NY","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","XPYlsWDdGa","23Mk6UjR3U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2825","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=2825, right_input=1656, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=5256","layer":4},{"info":"compute unary expreesion, input=5256, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=0","layer":2},{"info":"number node, value=1718","layer":4},{"info":"number node, value=7049","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=7049, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=4058","layer":4},{"info":"number node, value=5217","layer":4},{"info":"compute binary expreesion, left_input=4058, right_input=5217, 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=160, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"number node, value=2457","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=1055, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2457","layer":3},{"info":"compute unary expreesion, input=2457, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=4914","layer":2},{"info":"compute unary expreesion, input=4914, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=16710","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16710, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2139≬⇓⋰*⋻1276)⪶≀⋏(⇨⋰*⋻3A49)∠⫱⋰*⋻1322∺≝⩲⋰*⋻5329⩍⋽⫝̸(⋰*⋻305A⪢⋰*⋻3A13))∛(⇐(≀↧⇸⋰*⋻1934∣⋰*⋻87A))=NaN","reverse_text":"NaN=((⋰*⋻2139≬⇓⋰*⋻1276)⪶≀⋏(⇨⋰*⋻3A49)∠⫱⋰*⋻1322∺≝⩲⋰*⋻5329⩍⋽⫝̸(⋰*⋻305A⪢⋰*⋻3A13))∛(⇐(≀↧⇸⋰*⋻1934∣⋰*⋻87A))","cot":[{"info":"⋰*⋻2139≬⇓⋰*⋻1276=⋰*⋻-20","layer":3},{"info":"⇨⋰*⋻3A49=⋰*⋻0","layer":3},{"info":"⋰*⋻-20⪶≀⋏⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻1322∺≝⩲⋰*⋻5329=⋰*⋻136","layer":3},{"info":"⋰*⋻305A⪢⋰*⋻3A13=NaN","layer":3},{"info":"⋰*⋻136⩍⋽⫝̸NaN=NaN","layer":2},{"info":"⋰*⋻0∠⫱NaN=NaN","layer":1},{"info":"⋰*⋻1934∣⋰*⋻87A=⋰*⋻1934","layer":3},{"info":"≀↧⇸⋰*⋻1934=⋰*⋻3768","layer":2},{"info":"⇐⋰*⋻3768=⋰*⋻11611","layer":1},{"info":"NaN∛⋰*⋻11611=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"((≘$8013$)⊬⨰$6080$↓$1611$⋷(↴⪽⋼$1340$↹⊜$2523$))⩉⊫⨁","expression":"((≘⋰*⋻6025)⊬⨰⋰*⋻4628↓⋰*⋻1235⋷(↴⪽⋼⋰*⋻1009↹⊜⋰*⋻1994))⩉⊫⨁","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23221,"operation_count":7,"complexity_ratio":3317.285714285714,"tree":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":8013,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6080,"base":11},"right_expr":{"type":"numeric_atoms","value":1611,"base":11}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1340,"base":11},"right_expr":{"type":"numeric_atoms","value":2523,"base":11}}}}},"used_operators":["7qqUquhhSb","23Mk6UjR3U","s3Fd5m9Dh2","tcjXMdvYtA","Af076pWI7l","5TUYCnJO6w","9bazX3JMtO"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⋰*⋻-9A29328","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8013","layer":4},{"info":"compute unary expreesion, input=8013, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=17669449","layer":3},{"info":"number node, value=6080","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=6080, right_input=1611, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=17669449, right_input=-134, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=17667857","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=2523, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7508","layer":3},{"info":"compute unary expreesion, input=-7508, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute binary expreesion, left_input=17667857, right_input=35822, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-17596213","layer":1},{"info":"compute unary expreesion, input=-17596213, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=-17596213","layer":0}],"base":11,"result_base":11,"text":"((≘⋰*⋻6025)⊬⨰⋰*⋻4628↓⋰*⋻1235⋷(↴⪽⋼⋰*⋻1009↹⊜⋰*⋻1994))⩉⊫⨁=⋰*⋻-9A29328","reverse_text":"⋰*⋻-9A29328=((≘⋰*⋻6025)⊬⨰⋰*⋻4628↓⋰*⋻1235⋷(↴⪽⋼⋰*⋻1009↹⊜⋰*⋻1994))⩉⊫⨁","cot":[{"info":"≘⋰*⋻6025=⋰*⋻9A79356","layer":3},{"info":"⋰*⋻4628↓⋰*⋻1235=⋰*⋻-112","layer":3},{"info":"⋰*⋻9A79356⊬⨰⋰*⋻-112=⋰*⋻9A78139","layer":2},{"info":"⋰*⋻1009↹⊜⋰*⋻1994=⋰*⋻-5706","layer":3},{"info":"↴⪽⋼⋰*⋻-5706=⋰*⋻24A06","layer":2},{"info":"⋰*⋻9A78139⋷⋰*⋻24A06=⋰*⋻-9A29328","layer":1},{"info":"⋰*⋻-9A29328⩉⊫⨁=⋰*⋻-9A29328","layer":0}]}
{"id":808,"expression_no_base_symbol":"(($3043$⫡⨏$3314$)⇯⋐)⪥($6400$⨚⇆$1207$)⨔⇊$1691$⨔⇊$1330$≒∊(+⊝⨔($3054$⨲∙)⪝($1254$≳⇉$2937$))","expression":"((⋰*⋻2317⫡⨏⋰*⋻2543)⇯⋐)⪥(⋰*⋻4899⨚⇆⋰*⋻9A8)⨔⇊⋰*⋻12A8⨔⇊⋰*⋻AAA≒∊(+⊝⨔(⋰*⋻2327⨲∙)⪝(⋰*⋻A40≳⇉⋰*⋻2230))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":197844257,"operation_count":11,"complexity_ratio":17985841.545454547,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3043,"base":11},"right_expr":{"type":"numeric_atoms","value":3314,"base":11}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":6400,"base":11},"right_expr":{"type":"numeric_atoms","value":1207,"base":11}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1691,"base":11},"right_expr":{"type":"numeric_atoms","value":1330,"base":11}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":3054,"base":11}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1254,"base":11},"right_expr":{"type":"numeric_atoms","value":2937,"base":11}}}}},"used_operators":["5KTvxBwnZo","QbnwKVWMIQ","LkLIoiE525","QMFrweE19q","JclMnS0uGI","lwHaAYXP2r","DhbWaqg5eL","wicAB68Tmb","cRahaglYVE","V0kx6qeWkN"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⋰*⋻-180841","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3043","layer":4},{"info":"number node, value=3314","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=3314, 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=22626","layer":3},{"info":"compute unary expreesion, input=22626, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=68756","layer":2},{"info":"number node, value=6400","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=6400, right_input=1207, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=1330, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1330","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1330, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1330","layer":2},{"info":"compute binary expreesion, left_input=68756, right_input=1330, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=279676","layer":1},{"info":"number node, value=3054","layer":4},{"info":"compute unary expreesion, input=3054, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=39385854","layer":3},{"info":"number node, value=1254","layer":4},{"info":"number node, value=2937","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=2937, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=39385854, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', 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=279676, right_input=1522, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-279192","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2317⫡⨏⋰*⋻2543)⇯⋐)⪥(⋰*⋻4899⨚⇆⋰*⋻9A8)⨔⇊⋰*⋻12A8⨔⇊⋰*⋻AAA≒∊(+⊝⨔(⋰*⋻2327⨲∙)⪝(⋰*⋻A40≳⇉⋰*⋻2230))=⋰*⋻-180841","reverse_text":"⋰*⋻-180841=((⋰*⋻2317⫡⨏⋰*⋻2543)⇯⋐)⪥(⋰*⋻4899⨚⇆⋰*⋻9A8)⨔⇊⋰*⋻12A8⨔⇊⋰*⋻AAA≒∊(+⊝⨔(⋰*⋻2327⨲∙)⪝(⋰*⋻A40≳⇉⋰*⋻2230))","cot":[{"info":"⋰*⋻2317⫡⨏⋰*⋻2543=⋰*⋻15AAA","layer":3},{"info":"⋰*⋻15AAA⇯⋐=⋰*⋻47726","layer":2},{"info":"⋰*⋻4899⨚⇆⋰*⋻9A8=NaN","layer":3},{"info":"⋰*⋻12A8⨔⇊⋰*⋻AAA=⋰*⋻AAA","layer":3},{"info":"NaN⨔⇊⋰*⋻AAA=⋰*⋻AAA","layer":2},{"info":"⋰*⋻47726⪥⋰*⋻AAA=⋰*⋻181141","layer":1},{"info":"⋰*⋻2327⨲∙=⋰*⋻202611A2","layer":3},{"info":"⋰*⋻A40≳⇉⋰*⋻2230=NaN","layer":3},{"info":"⋰*⋻202611A2⪝NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":1},{"info":"⋰*⋻181141≒∊⋰*⋻1164=⋰*⋻-180841","layer":0}]}
{"id":809,"expression_no_base_symbol":"($1237$⊱⇼⊻$7924$⪢($3071$∼$1150$))⨑⩅≇($5189$⫰⋱$1418$⊍⩺⋍(≯$8377$))↸(↩(∐⩳⋚($1073$⪄$2067$)))","expression":"(⋰*⋻A25⊱⇼⊻⋰*⋻5A54⪢(⋰*⋻2342∼⋰*⋻956))⨑⩅≇(⋰*⋻3998⫰⋱⋰*⋻107A⊍⩺⋍(≯⋰*⋻6326))↸(↩(∐⩳⋚(⋰*⋻896⪄⋰*⋻160A)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1633,"operation_count":11,"complexity_ratio":148.45454545454547,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1237,"base":11},"right_expr":{"type":"numeric_atoms","value":7924,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3071,"base":11},"right_expr":{"type":"numeric_atoms","value":1150,"base":11}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":5189,"base":11},"right_expr":{"type":"numeric_atoms","value":1418,"base":11}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":8377,"base":11}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1073,"base":11},"right_expr":{"type":"numeric_atoms","value":2067,"base":11}}}}},"used_operators":["1eCjFl0mb9","h92wMvzauj","dWAJyo7jo9","FyVja0WsTP","DyGG3AbaNP","OXDGMFPWZM","6o9Blt3TJ6","keWfFq85dY","jLgFTUHLKL","SL6IHkK8vl","SUmda5xLS4"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","g55IO6H4Gj","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⋰*⋻780","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1237","layer":4},{"info":"number node, value=7924","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=7924, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=3071","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=1150, 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=434, 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=5189","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=5189, right_input=1418, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5156","layer":3},{"info":"number node, value=8377","layer":4},{"info":"compute unary expreesion, input=8377, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5156, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":1},{"info":"number node, value=1073","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=2067, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-163161","layer":3},{"info":"compute unary expreesion, input=-163161, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-47352628","layer":2},{"info":"compute unary expreesion, input=-47352628, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=189413132","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=189413132, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=935","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻A25⊱⇼⊻⋰*⋻5A54⪢(⋰*⋻2342∼⋰*⋻956))⨑⩅≇(⋰*⋻3998⫰⋱⋰*⋻107A⊍⩺⋍(≯⋰*⋻6326))↸(↩(∐⩳⋚(⋰*⋻896⪄⋰*⋻160A)))=⋰*⋻780","reverse_text":"⋰*⋻780=(⋰*⋻A25⊱⇼⊻⋰*⋻5A54⪢(⋰*⋻2342∼⋰*⋻956))⨑⩅≇(⋰*⋻3998⫰⋱⋰*⋻107A⊍⩺⋍(≯⋰*⋻6326))↸(↩(∐⩳⋚(⋰*⋻896⪄⋰*⋻160A)))","cot":[{"info":"⋰*⋻A25⊱⇼⊻⋰*⋻5A54=⋰*⋻365","layer":3},{"info":"⋰*⋻2342∼⋰*⋻956=NaN","layer":3},{"info":"⋰*⋻365⪢NaN=NaN","layer":2},{"info":"⋰*⋻3998⫰⋱⋰*⋻107A=⋰*⋻-3968","layer":3},{"info":"≯⋰*⋻6326=⋰*⋻0","layer":3},{"info":"⋰*⋻-3968⊍⩺⋍⋰*⋻0=NaN","layer":2},{"info":"NaN⨑⩅≇NaN=⋰*⋻780","layer":1},{"info":"⋰*⋻896⪄⋰*⋻160A=⋰*⋻-101649","layer":3},{"info":"∐⩳⋚⋰*⋻-101649=⋰*⋻-24802804","layer":2},{"info":"↩⋰*⋻-24802804=⋰*⋻97A11987","layer":1},{"info":"⋰*⋻780↸⋰*⋻97A11987=⋰*⋻780","layer":0}]}
{"id":810,"expression_no_base_symbol":"((⇨$3614$)⩘($2332$⨲)⪨⊡($4540$⇌⫙⪟$3318$)↤⩊($2442$↬⩅∪))⩖⊿(∑⇻≧(+⊝⨔$3020$)⩍⋽⫝̸($5513$⊝⪿⪼$2723$))","expression":"((⇨⋰*⋻2796)⩘(⋰*⋻1830⨲)⪨⊡(⋰*⋻3458⇌⫙⪟⋰*⋻2547)↤⩊(⋰*⋻1920↬⩅∪))⩖⊿(∑⇻≧(+⊝⨔⋰*⋻22A6)⩍⋽⫝̸(⋰*⋻4162⊝⪿⪼⋰*⋻2056))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":352671,"operation_count":12,"complexity_ratio":29389.25,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":3614,"base":11}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2332,"base":11}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":4540,"base":11},"right_expr":{"type":"numeric_atoms","value":3318,"base":11}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2442,"base":11}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3020,"base":11}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":5513,"base":11},"right_expr":{"type":"numeric_atoms","value":2723,"base":11}}}}},"used_operators":["RZ5CV9rWsJ","kuIXHzHcAH","cHh1gJQ2o6","G9tJMlZ94a","nLYMGWM7L8","13rbtpv6ld","AFVx7xoS7T","VJ330n2nnx","l1M9WJ3V7u","BiWNJpBvwn","DhbWaqg5eL","3Oe9XWJUTD"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","k8jYdgA6NY","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","Ph9nP6C5qx","xUOZtlo3hN","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3614","layer":4},{"info":"compute unary expreesion, input=3614, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=2332","layer":4},{"info":"compute unary expreesion, input=2332, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=412254733","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=412254733, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=4540","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=4540, right_input=3318, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2442","layer":4},{"info":"compute unary expreesion, input=2442, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-7326","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-7326, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=3020","layer":4},{"info":"compute unary expreesion, input=3020, 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=5513","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=5513, right_input=2723, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=76067","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=76067, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=75121","layer":2},{"info":"compute unary expreesion, input=75121, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⇨⋰*⋻2796)⩘(⋰*⋻1830⨲)⪨⊡(⋰*⋻3458⇌⫙⪟⋰*⋻2547)↤⩊(⋰*⋻1920↬⩅∪))⩖⊿(∑⇻≧(+⊝⨔⋰*⋻22A6)⩍⋽⫝̸(⋰*⋻4162⊝⪿⪼⋰*⋻2056))=NaN","reverse_text":"NaN=((⇨⋰*⋻2796)⩘(⋰*⋻1830⨲)⪨⊡(⋰*⋻3458⇌⫙⪟⋰*⋻2547)↤⩊(⋰*⋻1920↬⩅∪))⩖⊿(∑⇻≧(+⊝⨔⋰*⋻22A6)⩍⋽⫝̸(⋰*⋻4162⊝⪿⪼⋰*⋻2056))","cot":[{"info":"⇨⋰*⋻2796=⋰*⋻0","layer":3},{"info":"⋰*⋻1830⨲=⋰*⋻1A17860A0","layer":3},{"info":"⋰*⋻0⩘⋰*⋻1A17860A0=⋰*⋻136","layer":2},{"info":"⋰*⋻3458⇌⫙⪟⋰*⋻2547=⋰*⋻A3","layer":3},{"info":"⋰*⋻1920↬⩅∪=⋰*⋻-5560","layer":3},{"info":"⋰*⋻A3↤⩊⋰*⋻-5560=NaN","layer":2},{"info":"⋰*⋻136⪨⊡NaN=NaN","layer":1},{"info":"+⊝⨔⋰*⋻22A6=⋰*⋻1164","layer":3},{"info":"⋰*⋻4162⊝⪿⪼⋰*⋻2056=⋰*⋻52172","layer":3},{"info":"⋰*⋻1164⩍⋽⫝̸⋰*⋻52172=⋰*⋻51492","layer":2},{"info":"∑⇻≧⋰*⋻51492=⋰*⋻-705","layer":1},{"info":"NaN⩖⊿⋰*⋻-705=NaN","layer":0}]}
{"id":811,"expression_no_base_symbol":"(($1280$→⨶⪴$3507$↰)⩨($2668$⋻⩜⩜$1209$)↙(⨴⫝$1784$))↠","expression":"((⋰*⋻A64→⨶⪴⋰*⋻26A9↰)⩨(⋰*⋻2006⋻⩜⩜⋰*⋻9AA)↙(⨴⫝⋰*⋻1382))↠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18782,"operation_count":7,"complexity_ratio":2683.1428571428573,"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":1280,"base":11},"right_expr":{"type":"numeric_atoms","value":3507,"base":11}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2668,"base":11},"right_expr":{"type":"numeric_atoms","value":1209,"base":11}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1784,"base":11}}}}},"used_operators":["LBdsKIvxzf","2DlMacCsIx","bl5wxAcryP","bF6eod5Gvf","yyfyN0ffXY","oDCm7WA9JY","SVb2v531z1"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","tmPS8pqC7x","DpFCA1CohY","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"⋰*⋻-377","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1280","layer":4},{"info":"number node, value=3507","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=3507, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10521","layer":3},{"info":"compute unary expreesion, input=-10521, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-10622","layer":2},{"info":"number node, value=2668","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=1209, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5336","layer":3},{"info":"number node, value=1784","layer":4},{"info":"compute unary expreesion, input=1784, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=5336, right_input=2828198, 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=-10622, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A64→⨶⪴⋰*⋻26A9↰)⩨(⋰*⋻2006⋻⩜⩜⋰*⋻9AA)↙(⨴⫝⋰*⋻1382))↠=⋰*⋻-377","reverse_text":"⋰*⋻-377=((⋰*⋻A64→⨶⪴⋰*⋻26A9↰)⩨(⋰*⋻2006⋻⩜⩜⋰*⋻9AA)↙(⨴⫝⋰*⋻1382))↠","cot":[{"info":"⋰*⋻A64→⨶⪴⋰*⋻26A9=⋰*⋻-79A5","layer":3},{"info":"⋰*⋻-79A5↰=⋰*⋻-7A87","layer":2},{"info":"⋰*⋻2006⋻⩜⩜⋰*⋻9AA=⋰*⋻4011","layer":3},{"info":"⨴⫝⋰*⋻1382=⋰*⋻166195A","layer":3},{"info":"⋰*⋻4011↙⋰*⋻166195A=NaN","layer":2},{"info":"⋰*⋻-7A87⩨NaN=NaN","layer":1},{"info":"NaN↠=⋰*⋻-377","layer":0}]}
{"id":812,"expression_no_base_symbol":"(⨵($2305$⊉↱≁$1080$⊝))≁↽≥(($1712$⫁⪎$7458$⇼⇔∾$1225$∙⊟$1628$)≥⨤⩑($1980$→⨶⪴$1027$)⩼⇪↪($1561$⪕$5178$))","expression":"(⨵(⋰*⋻1806⊉↱≁⋰*⋻8A2⊝))≁↽≥((⋰*⋻1317⫁⪎⋰*⋻5670⇼⇔∾⋰*⋻A14∙⊟⋰*⋻1250)≥⨤⩑(⋰*⋻1540→⨶⪴⋰*⋻854)⩼⇪↪(⋰*⋻119A⪕⋰*⋻3988))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":93302,"operation_count":11,"complexity_ratio":8482.0,"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":2305,"base":11},"right_expr":{"type":"numeric_atoms","value":1080,"base":11}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1712,"base":11},"right_expr":{"type":"numeric_atoms","value":7458,"base":11}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1225,"base":11},"right_expr":{"type":"numeric_atoms","value":1628,"base":11}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1980,"base":11},"right_expr":{"type":"numeric_atoms","value":1027,"base":11}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1561,"base":11},"right_expr":{"type":"numeric_atoms","value":5178,"base":11}}}}},"used_operators":["ncHt1X6cMc","Tl3Y52tvF8","O6EZ0fifGK","w2P8NbNXyL","gJLn6v0xnP","tifHPKVTfV","xRrnTEsQ6j","SxTAKzQCrw","ocnLzx9CaJ","bF6eod5Gvf","umQnsF7QlU"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋰*⋻-113A431","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2305","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=2305, right_input=1080, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=16518","layer":3},{"info":"compute unary expreesion, input=16518, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=16518","layer":2},{"info":"compute unary expreesion, input=16518, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-133353","layer":1},{"info":"number node, value=1712","layer":4},{"info":"number node, value=7458","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=7458, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-5746","layer":3},{"info":"number node, value=1225","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1628, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25771","layer":3},{"info":"compute binary expreesion, left_input=-5746, right_input=25771, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=31517","layer":2},{"info":"number node, value=1980","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=1027, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3081","layer":3},{"info":"number node, value=1561","layer":4},{"info":"number node, value=5178","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=5178, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=-3081, right_input=-55, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6560","layer":2},{"info":"compute binary expreesion, left_input=31517, right_input=-6560, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=63034","layer":1},{"info":"compute binary expreesion, left_input=-133353, right_input=63034, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-1990363","layer":0}],"base":11,"result_base":11,"text":"(⨵(⋰*⋻1806⊉↱≁⋰*⋻8A2⊝))≁↽≥((⋰*⋻1317⫁⪎⋰*⋻5670⇼⇔∾⋰*⋻A14∙⊟⋰*⋻1250)≥⨤⩑(⋰*⋻1540→⨶⪴⋰*⋻854)⩼⇪↪(⋰*⋻119A⪕⋰*⋻3988))=⋰*⋻-113A431","reverse_text":"⋰*⋻-113A431=(⨵(⋰*⋻1806⊉↱≁⋰*⋻8A2⊝))≁↽≥((⋰*⋻1317⫁⪎⋰*⋻5670⇼⇔∾⋰*⋻A14∙⊟⋰*⋻1250)≥⨤⩑(⋰*⋻1540→⨶⪴⋰*⋻854)⩼⇪↪(⋰*⋻119A⪕⋰*⋻3988))","cot":[{"info":"⋰*⋻1806⊉↱≁⋰*⋻8A2=⋰*⋻11457","layer":3},{"info":"⋰*⋻11457⊝=⋰*⋻11457","layer":2},{"info":"⨵⋰*⋻11457=⋰*⋻-91210","layer":1},{"info":"⋰*⋻1317⫁⪎⋰*⋻5670=⋰*⋻-4354","layer":3},{"info":"⋰*⋻A14∙⊟⋰*⋻1250=⋰*⋻183A9","layer":3},{"info":"⋰*⋻-4354⇼⇔∾⋰*⋻183A9=⋰*⋻21752","layer":2},{"info":"⋰*⋻1540→⨶⪴⋰*⋻854=⋰*⋻-2351","layer":3},{"info":"⋰*⋻119A⪕⋰*⋻3988=⋰*⋻-50","layer":3},{"info":"⋰*⋻-2351⩼⇪↪⋰*⋻-50=⋰*⋻-4A24","layer":2},{"info":"⋰*⋻21752≥⨤⩑⋰*⋻-4A24=⋰*⋻433A4","layer":1},{"info":"⋰*⋻-91210≁↽≥⋰*⋻433A4=⋰*⋻-113A431","layer":0}]}
{"id":813,"expression_no_base_symbol":"(($1781$⊢$4395$⫉⨲⊜$6387$∌$8690$)⫿)⩁","expression":"((⋰*⋻137A⊢⋰*⋻3336⫉⨲⊜⋰*⋻4887∌⋰*⋻6590)⫿)⩁","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":57,"operation_count":5,"complexity_ratio":11.4,"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":1781,"base":11},"right_expr":{"type":"numeric_atoms","value":4395,"base":11}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":6387,"base":11},"right_expr":{"type":"numeric_atoms","value":8690,"base":11}}}}},"used_operators":["5GqDbVmqXU","9tKT6PmtkH","WhqkvtTD3t","5twsqlHp2o","8cLx32lpNA"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","eewbuw0ToL","zVYPLywUTj","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⋰*⋻-94773","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1781","layer":4},{"info":"number node, value=4395","layer":4},{"info":"compute binary expreesion, left_input=1781, right_input=4395, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3806","layer":3},{"info":"number node, value=6387","layer":4},{"info":"number node, value=8690","layer":4},{"info":"compute binary expreesion, left_input=6387, right_input=8690, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8690","layer":3},{"info":"compute binary expreesion, left_input=-3806, right_input=-8690, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-8800","layer":2},{"info":"compute unary expreesion, input=-8800, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=17600","layer":1},{"info":"compute unary expreesion, input=17600, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-138020","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻137A⊢⋰*⋻3336⫉⨲⊜⋰*⋻4887∌⋰*⋻6590)⫿)⩁=⋰*⋻-94773","reverse_text":"⋰*⋻-94773=((⋰*⋻137A⊢⋰*⋻3336⫉⨲⊜⋰*⋻4887∌⋰*⋻6590)⫿)⩁","cot":[{"info":"⋰*⋻137A⊢⋰*⋻3336=⋰*⋻-2950","layer":3},{"info":"⋰*⋻4887∌⋰*⋻6590=⋰*⋻-6590","layer":3},{"info":"⋰*⋻-2950⫉⨲⊜⋰*⋻-6590=⋰*⋻-6680","layer":2},{"info":"⋰*⋻-6680⫿=⋰*⋻12250","layer":1},{"info":"⋰*⋻12250⩁=⋰*⋻-94773","layer":0}]}
{"id":814,"expression_no_base_symbol":"($2138$⨂≜$2152$⫒⫫($3981$∙⊟$1018$)⪁($4000$⊾⪯⋞$3654$)⩺⪪($4921$⨒$1036$))⇌⫙⪟(((∮$5380$)⫚↹⊑(⨑⩽⪐$1041$))⩟)","expression":"(⋰*⋻1674⨂≜⋰*⋻1687⫒⫫(⋰*⋻2A9A∙⊟⋰*⋻846)⪁(⋰*⋻3007⊾⪯⋞⋰*⋻2822)⩺⪪(⋰*⋻3774⨒⋰*⋻862))⇌⫙⪟(((∮⋰*⋻4051)⫚↹⊑(⨑⩽⪐⋰*⋻867))⩟)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":584312,"operation_count":12,"complexity_ratio":48692.666666666664,"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":2138,"base":11},"right_expr":{"type":"numeric_atoms","value":2152,"base":11}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3981,"base":11},"right_expr":{"type":"numeric_atoms","value":1018,"base":11}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4000,"base":11},"right_expr":{"type":"numeric_atoms","value":3654,"base":11}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4921,"base":11},"right_expr":{"type":"numeric_atoms","value":1036,"base":11}}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":5380,"base":11}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1041,"base":11}}}}},"used_operators":["AFVx7xoS7T","I7sXao9hZE","6Ko8hGgeMq","k1SHOSEABc","SxTAKzQCrw","uvdQJvN4PV","HK0tfVPux8","y75s1iXyHd","fOIeswaMU4","dfKe02y8D2","CqXKPLVYql","AF7qkfDlqP"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2138","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=2138, right_input=2152, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3981","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=3981, right_input=1018, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=61599","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=61599, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=4000","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=3654, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6882","layer":3},{"info":"number node, value=4921","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=4921, right_input=1036, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-29154","layer":3},{"info":"compute binary expreesion, left_input=6882, right_input=-29154, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-577474","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-577474, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=5380","layer":4},{"info":"compute unary expreesion, input=5380, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-768","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-768, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=5250","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5250, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1674⨂≜⋰*⋻1687⫒⫫(⋰*⋻2A9A∙⊟⋰*⋻846)⪁(⋰*⋻3007⊾⪯⋞⋰*⋻2822)⩺⪪(⋰*⋻3774⨒⋰*⋻862))⇌⫙⪟(((∮⋰*⋻4051)⫚↹⊑(⨑⩽⪐⋰*⋻867))⩟)=NaN","reverse_text":"NaN=(⋰*⋻1674⨂≜⋰*⋻1687⫒⫫(⋰*⋻2A9A∙⊟⋰*⋻846)⪁(⋰*⋻3007⊾⪯⋞⋰*⋻2822)⩺⪪(⋰*⋻3774⨒⋰*⋻862))⇌⫙⪟(((∮⋰*⋻4051)⫚↹⊑(⨑⩽⪐⋰*⋻867))⩟)","cot":[{"info":"⋰*⋻1674⨂≜⋰*⋻1687=NaN","layer":3},{"info":"⋰*⋻2A9A∙⊟⋰*⋻846=⋰*⋻4230A","layer":3},{"info":"NaN⫒⫫⋰*⋻4230A=NaN","layer":2},{"info":"⋰*⋻3007⊾⪯⋞⋰*⋻2822=⋰*⋻5197","layer":3},{"info":"⋰*⋻3774⨒⋰*⋻862=⋰*⋻-1A9A4","layer":3},{"info":"⋰*⋻5197⩺⪪⋰*⋻-1A9A4=⋰*⋻-364957","layer":2},{"info":"NaN⪁⋰*⋻-364957=NaN","layer":1},{"info":"∮⋰*⋻4051=⋰*⋻61","layer":3},{"info":"⨑⩽⪐⋰*⋻867=⋰*⋻-639","layer":3},{"info":"⋰*⋻61⫚↹⊑⋰*⋻-639=⋰*⋻-377","layer":2},{"info":"⋰*⋻-377⩟=⋰*⋻3A43","layer":1},{"info":"NaN⇌⫙⪟⋰*⋻3A43=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"(≋($1358$⪭$4793$))⫒⫫(($3559$⩷∴$4654$)⫲⨊)⪄($2043$⇴$2239$↸$1225$⨜⨶$2542$)⨭⪣(≔$5392$)⪚$2498$≁$3109$","expression":"(≋(⋰*⋻1025⪭⋰*⋻3668))⫒⫫((⋰*⋻2746⩷∴⋰*⋻3551)⫲⨊)⪄(⋰*⋻1598⇴⋰*⋻1756↸⋰*⋻A14⨜⨶⋰*⋻1A01)⨭⪣(≔⋰*⋻4062)⪚⋰*⋻1971≁⋰*⋻2377","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5176,"operation_count":13,"complexity_ratio":398.15384615384613,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":4793,"base":11}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3559,"base":11},"right_expr":{"type":"numeric_atoms","value":4654,"base":11}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2043,"base":11},"right_expr":{"type":"numeric_atoms","value":2239,"base":11}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1225,"base":11},"right_expr":{"type":"numeric_atoms","value":2542,"base":11}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":5392,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2498,"base":11},"right_expr":{"type":"numeric_atoms","value":3109,"base":11}}}}},"used_operators":["SUmda5xLS4","6Ko8hGgeMq","61wBmkZwlr","j9kHMeSvPp","CArV6hThFE","9FxExcQeMw","kn8WO9XteQ","1eCjFl0mb9","4JB6nKBMSY","HiPekx5b7W","HrjLwUk87U","8FLs4eVsLt","8N2wDY1A35"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","7j4O788W3g","COABgblf1C","xUOZtlo3hN","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rysDP5nf3Z","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","NTOWxs364D","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⋰*⋻-4AA12","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":4},{"info":"number node, value=4793","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=4793, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=5","layer":2},{"info":"number node, value=3559","layer":4},{"info":"number node, value=4654","layer":4},{"info":"compute binary expreesion, left_input=3559, right_input=4654, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2222","layer":3},{"info":"compute unary expreesion, input=-2222, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-10327","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=-10327, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":1},{"info":"number node, value=2043","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=2239, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16350","layer":3},{"info":"number node, value=1225","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=2542, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-4828","layer":3},{"info":"compute binary expreesion, left_input=16350, right_input=-4828, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=16350","layer":2},{"info":"number node, value=5392","layer":4},{"info":"compute unary expreesion, input=5392, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-149682","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=3109, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=61415","layer":3},{"info":"compute binary expreesion, left_input=-149682, right_input=61415, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=298488","layer":2},{"info":"compute binary expreesion, left_input=16350, right_input=298488, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=15071","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=15071, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-73097","layer":0}],"base":11,"result_base":11,"text":"(≋(⋰*⋻1025⪭⋰*⋻3668))⫒⫫((⋰*⋻2746⩷∴⋰*⋻3551)⫲⨊)⪄(⋰*⋻1598⇴⋰*⋻1756↸⋰*⋻A14⨜⨶⋰*⋻1A01)⨭⪣(≔⋰*⋻4062)⪚⋰*⋻1971≁⋰*⋻2377=⋰*⋻-4AA12","reverse_text":"⋰*⋻-4AA12=(≋(⋰*⋻1025⪭⋰*⋻3668))⫒⫫((⋰*⋻2746⩷∴⋰*⋻3551)⫲⨊)⪄(⋰*⋻1598⇴⋰*⋻1756↸⋰*⋻A14⨜⨶⋰*⋻1A01)⨭⪣(≔⋰*⋻4062)⪚⋰*⋻1971≁⋰*⋻2377","cot":[{"info":"⋰*⋻1025⪭⋰*⋻3668=⋰*⋻5","layer":3},{"info":"≋⋰*⋻5=⋰*⋻5","layer":2},{"info":"⋰*⋻2746⩷∴⋰*⋻3551=⋰*⋻-1740","layer":3},{"info":"⋰*⋻-1740⫲⨊=⋰*⋻-7839","layer":2},{"info":"⋰*⋻5⫒⫫⋰*⋻-7839=⋰*⋻A3","layer":1},{"info":"⋰*⋻1598⇴⋰*⋻1756=⋰*⋻11314","layer":3},{"info":"⋰*⋻A14⨜⨶⋰*⋻1A01=⋰*⋻-369A","layer":3},{"info":"⋰*⋻11314↸⋰*⋻-369A=⋰*⋻11314","layer":2},{"info":"≔⋰*⋻4062=⋰*⋻-A2505","layer":3},{"info":"⋰*⋻1971≁⋰*⋻2377=⋰*⋻42162","layer":3},{"info":"⋰*⋻-A2505⪚⋰*⋻42162=⋰*⋻194293","layer":2},{"info":"⋰*⋻11314⨭⪣⋰*⋻194293=⋰*⋻10361","layer":1},{"info":"⋰*⋻A3⪄⋰*⋻10361=⋰*⋻-4AA12","layer":0}]}
{"id":816,"expression_no_base_symbol":"(⇾⩊⇾(↨$2242$⊨$1779$))⪐","expression":"(⇾⩊⇾(↨⋰*⋻1759⊨⋰*⋻1378))⪐","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":188,"operation_count":4,"complexity_ratio":47.0,"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":2242,"base":11},"right_expr":{"type":"numeric_atoms","value":1779,"base":11}}}}},"used_operators":["eH2TOUuTDT","bx9Z9DAK5y","jiX4gk2v2Q","vg4gO5BX6G"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rGHVDoGpnC","oZj3VtZNQx","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=2242","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=2242, right_input=1779, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9999","layer":3},{"info":"compute unary expreesion, input=9999, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":1},{"info":"compute 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":11,"result_base":11,"text":"(⇾⩊⇾(↨⋰*⋻1759⊨⋰*⋻1378))⪐=NaN","reverse_text":"NaN=(⇾⩊⇾(↨⋰*⋻1759⊨⋰*⋻1378))⪐","cot":[{"info":"⋰*⋻1759⊨⋰*⋻1378=⋰*⋻7570","layer":3},{"info":"↨⋰*⋻7570=NaN","layer":2},{"info":"⇾⩊⇾NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"(((⊥$4139$)⇩)⨭⪣($3651$∠↢$1212$⫚↹⊑($1612$⇔⨋)))≨(($5858$⫃⨇$1883$)≥⨤⩑(⨈⫕$8433$))⨂≜((⨣⨃⇪$1336$)⪘⨀)","expression":"(((⊥⋰*⋻3123)⇩)⨭⪣(⋰*⋻281A∠↢⋰*⋻A02⫚↹⊑(⋰*⋻1236⇔⨋)))≨((⋰*⋻4446⫃⨇⋰*⋻1462)≥⨤⩑(⨈⫕⋰*⋻6377))⨂≜((⨣⨃⇪⋰*⋻1005)⪘⨀)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1852,"operation_count":13,"complexity_ratio":142.46153846153845,"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":4139,"base":11}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3651,"base":11},"right_expr":{"type":"numeric_atoms","value":1212,"base":11}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1612,"base":11}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5858,"base":11},"right_expr":{"type":"numeric_atoms","value":1883,"base":11}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":8433,"base":11}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1336,"base":11}}}}},"used_operators":["0KMCeP1Jsh","kn8WO9XteQ","vRio1gEz1j","Q3PJZHRvZv","dfKe02y8D2","KbjG8mgYpV","uBihLCJcMX","k1SHOSEABc","gJLn6v0xnP","09Ly4LVMIf","megm06wKyl","aA7tF3KVD3","AcOhelriW5"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","fu6greOZ01","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4139","layer":4},{"info":"compute unary expreesion, input=4139, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=nan","layer":2},{"info":"number node, value=3651","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3651, right_input=1212, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-30490","layer":3},{"info":"number node, value=1612","layer":4},{"info":"compute unary expreesion, input=1612, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=8602","layer":3},{"info":"compute binary expreesion, left_input=-30490, right_input=8602, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"number node, value=5858","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=5858, right_input=1883, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7564","layer":3},{"info":"number node, value=8433","layer":4},{"info":"compute unary expreesion, input=8433, 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=-7564, right_input=-21, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-3391","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-3391, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⊥⋰*⋻3123)⇩)⨭⪣(⋰*⋻281A∠↢⋰*⋻A02⫚↹⊑(⋰*⋻1236⇔⨋)))≨((⋰*⋻4446⫃⨇⋰*⋻1462)≥⨤⩑(⨈⫕⋰*⋻6377))⨂≜((⨣⨃⇪⋰*⋻1005)⪘⨀)=NaN","reverse_text":"NaN=(((⊥⋰*⋻3123)⇩)⨭⪣(⋰*⋻281A∠↢⋰*⋻A02⫚↹⊑(⋰*⋻1236⇔⨋)))≨((⋰*⋻4446⫃⨇⋰*⋻1462)≥⨤⩑(⨈⫕⋰*⋻6377))⨂≜((⨣⨃⇪⋰*⋻1005)⪘⨀)","cot":[{"info":"⊥⋰*⋻3123=NaN","layer":3},{"info":"NaN⇩=NaN","layer":2},{"info":"⋰*⋻281A∠↢⋰*⋻A02=⋰*⋻-209A9","layer":3},{"info":"⋰*⋻1236⇔⨋=⋰*⋻6510","layer":3},{"info":"⋰*⋻-209A9⫚↹⊑⋰*⋻6510=⋰*⋻-377","layer":2},{"info":"NaN⨭⪣⋰*⋻-377=NaN","layer":1},{"info":"⋰*⋻4446⫃⨇⋰*⋻1462=⋰*⋻-5757","layer":3},{"info":"⨈⫕⋰*⋻6377=⋰*⋻-1A","layer":3},{"info":"⋰*⋻-5757≥⨤⩑⋰*⋻-1A=⋰*⋻A22","layer":2},{"info":"⨣⨃⇪⋰*⋻1005=⋰*⋻1068","layer":3},{"info":"⋰*⋻1068⪘⨀=⋰*⋻-2603","layer":2},{"info":"⋰*⋻A22⨂≜⋰*⋻-2603=NaN","layer":1},{"info":"NaN≨NaN=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"(($3362$⊨$3083$⩤)⪁(↨⩢⫨($3293$⪛⫼$1537$)))⋻⩜⩜(∥⊫(⊥($1706$⪃↞⩐)))","expression":"((⋰*⋻2587⊨⋰*⋻2353⩤)⪁(↨⩢⫨(⋰*⋻2524⪛⫼⋰*⋻1178)))⋻⩜⩜(∥⊫(⊥(⋰*⋻1311⪃↞⩐)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15462,"operation_count":9,"complexity_ratio":1718.0,"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":3362,"base":11},"right_expr":{"type":"numeric_atoms","value":3083,"base":11}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3293,"base":11},"right_expr":{"type":"numeric_atoms","value":1537,"base":11}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1706,"base":11}}}}},"used_operators":["oDCm7WA9JY","I7sXao9hZE","Z2TMIBDE3Q","vg4gO5BX6G","Z5CJsN7DuW","hyuBjUqXlG","P8v4zCKN1o","Q3PJZHRvZv","grXIztHqDa"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3362","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=3083, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=14479","layer":3},{"info":"compute unary expreesion, input=14479, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-14479","layer":2},{"info":"number node, value=3293","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=3293, right_input=1537, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-14479, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=1706","layer":4},{"info":"compute unary expreesion, input=1706, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=10542","layer":3},{"info":"compute unary expreesion, input=10542, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', 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 = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2587⊨⋰*⋻2353⩤)⪁(↨⩢⫨(⋰*⋻2524⪛⫼⋰*⋻1178)))⋻⩜⩜(∥⊫(⊥(⋰*⋻1311⪃↞⩐)))=NaN","reverse_text":"NaN=((⋰*⋻2587⊨⋰*⋻2353⩤)⪁(↨⩢⫨(⋰*⋻2524⪛⫼⋰*⋻1178)))⋻⩜⩜(∥⊫(⊥(⋰*⋻1311⪃↞⩐)))","cot":[{"info":"⋰*⋻2587⊨⋰*⋻2353=⋰*⋻A973","layer":3},{"info":"⋰*⋻A973⩤=⋰*⋻-A973","layer":2},{"info":"⋰*⋻2524⪛⫼⋰*⋻1178=⋰*⋻800","layer":3},{"info":"↨⩢⫨⋰*⋻800=⋰*⋻0","layer":2},{"info":"⋰*⋻-A973⪁⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻1311⪃↞⩐=⋰*⋻7A14","layer":3},{"info":"⊥⋰*⋻7A14=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⋻⩜⩜NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"(($1089$⊢$5198$⪒$1787$↬$5758$)⊍⩺⋍$1825$↼⊘⨖$5707$⪭≯($1050$⊭∹↮))⨳⩥⨓($2958$⫒⫫$4944$)⩖⊿($1248$⫯⪬∳$3785$)⇷($1239$⪨≂$5350$)⨽∌(⪭⩑⪱$4579$)","expression":"((⋰*⋻900⊢⋰*⋻39A6⪒⋰*⋻1385↬⋰*⋻4365)⊍⩺⋍⋰*⋻140A↼⊘⨖⋰*⋻4319⪭≯(⋰*⋻875⊭∹↮))⨳⩥⨓(⋰*⋻224A⫒⫫⋰*⋻3795)⩖⊿(⋰*⋻A35⫯⪬∳⋰*⋻2931)⇷(⋰*⋻A27⪨≂⋰*⋻4024)⨽∌(⪭⩑⪱⋰*⋻3493)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":844862,"operation_count":15,"complexity_ratio":56324.13333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1089,"base":11},"right_expr":{"type":"numeric_atoms","value":5198,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1787,"base":11},"right_expr":{"type":"numeric_atoms","value":5758,"base":11}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1825,"base":11},"right_expr":{"type":"numeric_atoms","value":5707,"base":11}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1050,"base":11}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2958,"base":11},"right_expr":{"type":"numeric_atoms","value":4944,"base":11}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1248,"base":11},"right_expr":{"type":"numeric_atoms","value":3785,"base":11}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1239,"base":11},"right_expr":{"type":"numeric_atoms","value":5350,"base":11}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":4579,"base":11}}}}},"used_operators":["nCS4ZIUYfx","OXDGMFPWZM","f6k1SAg4EE","5twsqlHp2o","B5M0gjZbta","XAx5wpdLa6","bPywburJMS","xNBdhnnwKq","mp7IySMOzn","RZ5CV9rWsJ","6Ko8hGgeMq","d7ASUq0ydm","9samAPKr6k","sdazOOVcIp","SIgE0bArFf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rGHVDoGpnC","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=5198","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=5198, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2422","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=5758","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=5758, 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=-2422, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1825","layer":4},{"info":"number node, value=5707","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=5707, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=11192","layer":3},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2100","layer":3},{"info":"compute binary expreesion, left_input=11192, right_input=2100, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=2958","layer":4},{"info":"number node, value=4944","layer":4},{"info":"compute binary expreesion, left_input=2958, right_input=4944, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=3785","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=3785, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2488","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2488, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=1239","layer":4},{"info":"number node, value=5350","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=5350, 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=-8120","layer":3},{"info":"number node, value=4579","layer":4},{"info":"compute unary expreesion, input=4579, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=-8120, right_input=8320752, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻900⊢⋰*⋻39A6⪒⋰*⋻1385↬⋰*⋻4365)⊍⩺⋍⋰*⋻140A↼⊘⨖⋰*⋻4319⪭≯(⋰*⋻875⊭∹↮))⨳⩥⨓(⋰*⋻224A⫒⫫⋰*⋻3795)⩖⊿(⋰*⋻A35⫯⪬∳⋰*⋻2931)⇷(⋰*⋻A27⪨≂⋰*⋻4024)⨽∌(⪭⩑⪱⋰*⋻3493)=NaN","reverse_text":"NaN=((⋰*⋻900⊢⋰*⋻39A6⪒⋰*⋻1385↬⋰*⋻4365)⊍⩺⋍⋰*⋻140A↼⊘⨖⋰*⋻4319⪭≯(⋰*⋻875⊭∹↮))⨳⩥⨓(⋰*⋻224A⫒⫫⋰*⋻3795)⩖⊿(⋰*⋻A35⫯⪬∳⋰*⋻2931)⇷(⋰*⋻A27⪨≂⋰*⋻4024)⨽∌(⪭⩑⪱⋰*⋻3493)","cot":[{"info":"⋰*⋻900⊢⋰*⋻39A6=⋰*⋻-1902","layer":3},{"info":"⋰*⋻1385↬⋰*⋻4365=NaN","layer":3},{"info":"⋰*⋻-1902⪒NaN=NaN","layer":2},{"info":"⋰*⋻140A↼⊘⨖⋰*⋻4319=⋰*⋻8455","layer":3},{"info":"⋰*⋻875⊭∹↮=⋰*⋻163A","layer":3},{"info":"⋰*⋻8455⪭≯⋰*⋻163A=NaN","layer":2},{"info":"NaN⊍⩺⋍NaN=NaN","layer":1},{"info":"⋰*⋻224A⫒⫫⋰*⋻3795=NaN","layer":3},{"info":"⋰*⋻A35⫯⪬∳⋰*⋻2931=⋰*⋻1962","layer":3},{"info":"NaN⩖⊿⋰*⋻1962=NaN","layer":2},{"info":"⋰*⋻A27⪨≂⋰*⋻4024=⋰*⋻-6112","layer":3},{"info":"⪭⩑⪱⋰*⋻3493=⋰*⋻4773560","layer":3},{"info":"⋰*⋻-6112⨽∌⋰*⋻4773560=⋰*⋻0","layer":2},{"info":"NaN⇷⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN⨳⩥⨓⋰*⋻0=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"(($4488$≀⫉$4614$⫩⊇)⪠⩆⊳)⋥⋵⩄(⨰⫟⨤($1587$⨭⪣$1579$)+⪬∐($6885$↬$3761$))","expression":"((⋰*⋻3410≀⫉⋰*⋻3515⫩⊇)⪠⩆⊳)⋥⋵⩄(⨰⫟⨤(⋰*⋻1213⨭⪣⋰*⋻1206)+⪬∐(⋰*⋻519A↬⋰*⋻290A))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4829,"operation_count":8,"complexity_ratio":603.625,"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":4488,"base":11},"right_expr":{"type":"numeric_atoms","value":4614,"base":11}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1587,"base":11},"right_expr":{"type":"numeric_atoms","value":1579,"base":11}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6885,"base":11},"right_expr":{"type":"numeric_atoms","value":3761,"base":11}}}}},"used_operators":["7t3wd0Fuz7","JLbD19bQDL","BjRHVeLaeN","oZj3VtZNQx","Tw270M8GLb","2GS7woTJqF","kn8WO9XteQ","B5M0gjZbta"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","g55IO6H4Gj","D4vGDi5EA2","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4488","layer":4},{"info":"number node, value=4614","layer":4},{"info":"compute binary expreesion, left_input=4488, right_input=4614, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2780","layer":2},{"info":"compute unary expreesion, input=-2780, 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=1587","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=1579, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=308","layer":3},{"info":"number node, value=6885","layer":4},{"info":"number node, value=3761","layer":4},{"info":"compute binary expreesion, left_input=6885, right_input=3761, 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=308, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-924","layer":2},{"info":"compute unary expreesion, input=-924, 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=0, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3410≀⫉⋰*⋻3515⫩⊇)⪠⩆⊳)⋥⋵⩄(⨰⫟⨤(⋰*⋻1213⨭⪣⋰*⋻1206)+⪬∐(⋰*⋻519A↬⋰*⋻290A))=NaN","reverse_text":"NaN=((⋰*⋻3410≀⫉⋰*⋻3515⫩⊇)⪠⩆⊳)⋥⋵⩄(⨰⫟⨤(⋰*⋻1213⨭⪣⋰*⋻1206)+⪬∐(⋰*⋻519A↬⋰*⋻290A))","cot":[{"info":"⋰*⋻3410≀⫉⋰*⋻3515=⋰*⋻2136","layer":3},{"info":"⋰*⋻2136⫩⊇=⋰*⋻-20A8","layer":2},{"info":"⋰*⋻-20A8⪠⩆⊳=⋰*⋻0","layer":1},{"info":"⋰*⋻1213⨭⪣⋰*⋻1206=⋰*⋻260","layer":3},{"info":"⋰*⋻519A↬⋰*⋻290A=NaN","layer":3},{"info":"⋰*⋻260+⪬∐NaN=⋰*⋻-770","layer":2},{"info":"⨰⫟⨤⋰*⋻-770=NaN","layer":1},{"info":"⋰*⋻0⋥⋵⩄NaN=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"(($1203$⋛$1054$)⇯⋐)⨥⫆(($2251$≚⊃≕$2987$)∛($1112$⋖∅⋲))⋳⪒($8809$⊾⪯⋞$1050$)⫘(∤$4239$)≒∊(⨣⨃⇪($2690$⨘⋶⪀))","expression":"((⋰*⋻9A4⋛⋰*⋻879)⇯⋐)⨥⫆((⋰*⋻1767≚⊃≕⋰*⋻2276)∛(⋰*⋻921⋖∅⋲))⋳⪒(⋰*⋻6689⊾⪯⋞⋰*⋻875)⫘(∤⋰*⋻3204)≒∊(⨣⨃⇪(⋰*⋻2026⨘⋶⪀))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2599,"operation_count":13,"complexity_ratio":199.92307692307693,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1203,"base":11},"right_expr":{"type":"numeric_atoms","value":1054,"base":11}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2251,"base":11},"right_expr":{"type":"numeric_atoms","value":2987,"base":11}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1112,"base":11}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":8809,"base":11},"right_expr":{"type":"numeric_atoms","value":1050,"base":11}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":4239,"base":11}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2690,"base":11}}}}},"used_operators":["12rbrZMWeM","yXekIHxTD4","LkLIoiE525","YbUVn0Rbpy","w2537kitQq","Bmrmz2XGnR","L95AwlJzhO","5KTvxBwnZo","48vC8HMD2b","HK0tfVPux8","k2HlF1dBQh","AcOhelriW5","XVKwrhznBb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"⋰*⋻1127870","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=1054, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-121365","layer":3},{"info":"compute unary expreesion, input=-121365, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=-120432","layer":2},{"info":"number node, value=2251","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=2251, right_input=2987, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1112","layer":4},{"info":"compute unary expreesion, input=1112, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-384231, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-120432, right_input=67, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"number node, value=8809","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=8809, right_input=1050, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1674","layer":3},{"info":"number node, value=4239","layer":4},{"info":"compute unary expreesion, input=4239, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=1674, right_input=9, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1973029","layer":2},{"info":"number node, value=2690","layer":4},{"info":"compute unary expreesion, input=2690, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=1973029, right_input=1405, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1972545","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-1972545, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1972256","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻9A4⋛⋰*⋻879)⇯⋐)⨥⫆((⋰*⋻1767≚⊃≕⋰*⋻2276)∛(⋰*⋻921⋖∅⋲))⋳⪒(⋰*⋻6689⊾⪯⋞⋰*⋻875)⫘(∤⋰*⋻3204)≒∊(⨣⨃⇪(⋰*⋻2026⨘⋶⪀))=⋰*⋻1127870","reverse_text":"⋰*⋻1127870=((⋰*⋻9A4⋛⋰*⋻879)⇯⋐)⨥⫆((⋰*⋻1767≚⊃≕⋰*⋻2276)∛(⋰*⋻921⋖∅⋲))⋳⪒(⋰*⋻6689⊾⪯⋞⋰*⋻875)⫘(∤⋰*⋻3204)≒∊(⨣⨃⇪(⋰*⋻2026⨘⋶⪀))","cot":[{"info":"⋰*⋻9A4⋛⋰*⋻879=⋰*⋻-83202","layer":3},{"info":"⋰*⋻-83202⇯⋐=⋰*⋻-82534","layer":2},{"info":"⋰*⋻1767≚⊃≕⋰*⋻2276=⋰*⋻61","layer":3},{"info":"⋰*⋻921⋖∅⋲=⋰*⋻-242751","layer":3},{"info":"⋰*⋻61∛⋰*⋻-242751=⋰*⋻61","layer":2},{"info":"⋰*⋻-82534⨥⫆⋰*⋻61=⋰*⋻-1","layer":1},{"info":"⋰*⋻6689⊾⪯⋞⋰*⋻875=⋰*⋻1292","layer":3},{"info":"∤⋰*⋻3204=⋰*⋻9","layer":3},{"info":"⋰*⋻1292⫘⋰*⋻9=⋰*⋻1128403","layer":2},{"info":"⋰*⋻2026⨘⋶⪀=NaN","layer":3},{"info":"⨣⨃⇪NaN=⋰*⋻1068","layer":2},{"info":"⋰*⋻1128403≒∊⋰*⋻1068=⋰*⋻-1128003","layer":1},{"info":"⋰*⋻-1⋳⪒⋰*⋻-1128003=⋰*⋻1127870","layer":0}]}
{"id":822,"expression_no_base_symbol":"⩦⩻⨪((↞≼(∂$3846$))≫≃)","expression":"⩦⩻⨪((↞≼(∂⋰*⋻2987))≫≃)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":26,"operation_count":4,"complexity_ratio":6.5,"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":3846,"base":11}}}}},"used_operators":["2td37pGCOC","X99M06cbEe","DE7zCoGJt9","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=3846","layer":4},{"info":"compute unary expreesion, input=3846, 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 = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩦⩻⨪((↞≼(∂⋰*⋻2987))≫≃)=NaN","reverse_text":"NaN=⩦⩻⨪((↞≼(∂⋰*⋻2987))≫≃)","cot":[{"info":"∂⋰*⋻2987=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"($2028$⨔⇊$2575$)≦↸(⊬↢$1172$)≨($7741$⪔$1898$)⨜⨶($2729$∠↢$3560$)≃(($4200$⊿∆)⨰$1040$↢$1653$)⨿(($4160$⊬⫿⊭)∝$2463$∑⇟⊟$5530$)","expression":"(⋰*⋻1584⨔⇊⋰*⋻1A31)≦↸(⊬↢⋰*⋻976)≨(⋰*⋻58A8⪔⋰*⋻1476)⨜⨶(⋰*⋻2061∠↢⋰*⋻2747)≃((⋰*⋻3179⊿∆)⨰⋰*⋻866↢⋰*⋻1273)⨿((⋰*⋻3142⊬⫿⊭)∝⋰*⋻193A∑⇟⊟⋰*⋻4178)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":61090,"operation_count":15,"complexity_ratio":4072.6666666666665,"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":2028,"base":11},"right_expr":{"type":"numeric_atoms","value":2575,"base":11}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1172,"base":11}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":7741,"base":11},"right_expr":{"type":"numeric_atoms","value":1898,"base":11}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2729,"base":11},"right_expr":{"type":"numeric_atoms","value":3560,"base":11}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":4200,"base":11}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1040,"base":11},"right_expr":{"type":"numeric_atoms","value":1653,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":4160,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2463,"base":11},"right_expr":{"type":"numeric_atoms","value":5530,"base":11}}}}},"used_operators":["YbVcJGFEVW","0KMCeP1Jsh","RygbFNSyEJ","JclMnS0uGI","WPoGxAaPR1","HiPekx5b7W","GjBEYRfMaF","KbjG8mgYpV","abYXlopdE0","eewbuw0ToL","fv3ZujxkQL","WR6HLWljOP","cTDWOvIxvz","v0DYgG9ikt","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⋰*⋻-510","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2028","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=2575, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2575","layer":3},{"info":"number node, value=1172","layer":4},{"info":"compute unary expreesion, input=1172, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=2575, right_input=218, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4905","layer":2},{"info":"number node, value=7741","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=7741, right_input=1898, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2729","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=2729, right_input=3560, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-59674","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-59674, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-352761","layer":2},{"info":"compute binary expreesion, left_input=-4905, right_input=-352761, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=10466","layer":1},{"info":"number node, value=4200","layer":4},{"info":"compute unary expreesion, input=4200, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-8521","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1653, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=556","layer":3},{"info":"compute binary expreesion, left_input=-8521, right_input=556, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9067","layer":2},{"info":"number node, value=4160","layer":4},{"info":"compute unary expreesion, input=4160, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-12480","layer":3},{"info":"number node, value=2463","layer":4},{"info":"number node, value=5530","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=5530, 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=-12480, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9067, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=10466, right_input=67, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-616","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1584⨔⇊⋰*⋻1A31)≦↸(⊬↢⋰*⋻976)≨(⋰*⋻58A8⪔⋰*⋻1476)⨜⨶(⋰*⋻2061∠↢⋰*⋻2747)≃((⋰*⋻3179⊿∆)⨰⋰*⋻866↢⋰*⋻1273)⨿((⋰*⋻3142⊬⫿⊭)∝⋰*⋻193A∑⇟⊟⋰*⋻4178)=⋰*⋻-510","reverse_text":"⋰*⋻-510=(⋰*⋻1584⨔⇊⋰*⋻1A31)≦↸(⊬↢⋰*⋻976)≨(⋰*⋻58A8⪔⋰*⋻1476)⨜⨶(⋰*⋻2061∠↢⋰*⋻2747)≃((⋰*⋻3179⊿∆)⨰⋰*⋻866↢⋰*⋻1273)⨿((⋰*⋻3142⊬⫿⊭)∝⋰*⋻193A∑⇟⊟⋰*⋻4178)","cot":[{"info":"⋰*⋻1584⨔⇊⋰*⋻1A31=⋰*⋻1A31","layer":3},{"info":"⊬↢⋰*⋻976=⋰*⋻189","layer":3},{"info":"⋰*⋻1A31≦↸⋰*⋻189=⋰*⋻-375A","layer":2},{"info":"⋰*⋻58A8⪔⋰*⋻1476=⋰*⋻37A","layer":3},{"info":"⋰*⋻2061∠↢⋰*⋻2747=⋰*⋻-4091A","layer":3},{"info":"⋰*⋻37A⨜⨶⋰*⋻-4091A=⋰*⋻-221042","layer":2},{"info":"⋰*⋻-375A≨⋰*⋻-221042=⋰*⋻7955","layer":1},{"info":"⋰*⋻3179⊿∆=⋰*⋻-6447","layer":3},{"info":"⋰*⋻866↢⋰*⋻1273=⋰*⋻466","layer":3},{"info":"⋰*⋻-6447⨰⋰*⋻466=⋰*⋻-68A3","layer":2},{"info":"⋰*⋻3142⊬⫿⊭=⋰*⋻-9416","layer":3},{"info":"⋰*⋻193A∑⇟⊟⋰*⋻4178=NaN","layer":3},{"info":"⋰*⋻-9416∝NaN=NaN","layer":2},{"info":"⋰*⋻-68A3⨿NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻7955≃⋰*⋻61=⋰*⋻-510","layer":0}]}
{"id":824,"expression_no_base_symbol":"$1512$⨽∌$8991$⩖⊿($2509$⨟⋌⩍$1131$)∋(⨈⪑($1295$≃$2285$))⫡⨏(⨵($1446$⨟⋌⩍$4588$))⫲≸⪮(↩⪖($3567$↺$1175$))","expression":"⋰*⋻1155⨽∌⋰*⋻6834⩖⊿(⋰*⋻1981⨟⋌⩍⋰*⋻939)∋(⨈⪑(⋰*⋻A78≃⋰*⋻1798))⫡⨏(⨵(⋰*⋻10A5⨟⋌⩍⋰*⋻34A1))⫲≸⪮(↩⪖(⋰*⋻2753↺⋰*⋻979))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":357,"operation_count":12,"complexity_ratio":29.75,"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":1512,"base":11},"right_expr":{"type":"numeric_atoms","value":8991,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2509,"base":11},"right_expr":{"type":"numeric_atoms","value":1131,"base":11}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1295,"base":11},"right_expr":{"type":"numeric_atoms","value":2285,"base":11}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1446,"base":11},"right_expr":{"type":"numeric_atoms","value":4588,"base":11}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3567,"base":11},"right_expr":{"type":"numeric_atoms","value":1175,"base":11}}}}},"used_operators":["QMFrweE19q","ukq6epAj5P","RZ5CV9rWsJ","9samAPKr6k","rGHVDoGpnC","mp94q5OcYM","YbVcJGFEVW","P3lXMJvFrc","Tl3Y52tvF8","fG6uBQFnGz","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Tcnh7f0tEr","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1512","layer":4},{"info":"number node, value=8991","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=8991, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2509","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1131, 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 = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=1295","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2285, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-5220","layer":3},{"info":"compute unary expreesion, input=-5220, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"number node, value=1446","layer":4},{"info":"number node, value=4588","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=4588, 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 = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":2},{"info":"number node, value=3567","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=1175, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1175","layer":3},{"info":"compute unary expreesion, input=1175, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-10032","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10032, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":11,"result_base":11,"text":"⋰*⋻1155⨽∌⋰*⋻6834⩖⊿(⋰*⋻1981⨟⋌⩍⋰*⋻939)∋(⨈⪑(⋰*⋻A78≃⋰*⋻1798))⫡⨏(⨵(⋰*⋻10A5⨟⋌⩍⋰*⋻34A1))⫲≸⪮(↩⪖(⋰*⋻2753↺⋰*⋻979))=NaN","reverse_text":"NaN=⋰*⋻1155⨽∌⋰*⋻6834⩖⊿(⋰*⋻1981⨟⋌⩍⋰*⋻939)∋(⨈⪑(⋰*⋻A78≃⋰*⋻1798))⫡⨏(⨵(⋰*⋻10A5⨟⋌⩍⋰*⋻34A1))⫲≸⪮(↩⪖(⋰*⋻2753↺⋰*⋻979))","cot":[{"info":"⋰*⋻1155⨽∌⋰*⋻6834=⋰*⋻0","layer":3},{"info":"⋰*⋻1981⨟⋌⩍⋰*⋻939=NaN","layer":3},{"info":"⋰*⋻0⩖⊿NaN=NaN","layer":2},{"info":"⋰*⋻A78≃⋰*⋻1798=⋰*⋻-3A16","layer":3},{"info":"⨈⪑⋰*⋻-3A16=⋰*⋻71A","layer":2},{"info":"NaN∋⋰*⋻71A=NaN","layer":1},{"info":"⋰*⋻10A5⨟⋌⩍⋰*⋻34A1=NaN","layer":3},{"info":"⨵NaN=NaN","layer":2},{"info":"⋰*⋻2753↺⋰*⋻979=⋰*⋻979","layer":3},{"info":"↩⪖⋰*⋻979=⋰*⋻-75A0","layer":2},{"info":"NaN⫲≸⪮⋰*⋻-75A0=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":825,"expression_no_base_symbol":"(⪨⨬(⫖→($7038$⊓⋫)))-($1598$∺≝⩲$1557$⪛⫼(↩$1885$))∘(($5306$⫃⨇$2334$)⨽⪊≇)","expression":"(⪨⨬(⫖→(⋰*⋻5319⊓⋫)))-(⋰*⋻1223∺≝⩲⋰*⋻1196⪛⫼(↩⋰*⋻1464))∘((⋰*⋻3A94⫃⨇⋰*⋻1832)⨽⪊≇)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7549,"operation_count":10,"complexity_ratio":754.9,"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":7038,"base":11}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1598,"base":11},"right_expr":{"type":"numeric_atoms","value":1557,"base":11}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1885,"base":11}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5306,"base":11},"right_expr":{"type":"numeric_atoms","value":2334,"base":11}}}}},"used_operators":["rysDP5nf3Z","5obUd6DV38","U4ylXWHChL","IqGBaFP0uj","Z5m6OM72h2","hyuBjUqXlG","KPf6cnQVty","jLgFTUHLKL","nlCqmYiOvY","09Ly4LVMIf"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⋰*⋻-1A97","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7038","layer":4},{"info":"compute unary expreesion, input=7038, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-7166","layer":3},{"info":"compute unary expreesion, input=-7166, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1557, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1885","layer":4},{"info":"compute unary expreesion, input=1885, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12300","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-12300, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1741","layer":2},{"info":"number node, value=5306","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=5306, right_input=2334, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9368","layer":3},{"info":"compute unary expreesion, input=-9368, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-19262","layer":2},{"info":"compute binary expreesion, left_input=-1741, right_input=-19262, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2121","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=2121, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2647","layer":0}],"base":11,"result_base":11,"text":"(⪨⨬(⫖→(⋰*⋻5319⊓⋫)))-(⋰*⋻1223∺≝⩲⋰*⋻1196⪛⫼(↩⋰*⋻1464))∘((⋰*⋻3A94⫃⨇⋰*⋻1832)⨽⪊≇)=⋰*⋻-1A97","reverse_text":"⋰*⋻-1A97=(⪨⨬(⫖→(⋰*⋻5319⊓⋫)))-(⋰*⋻1223∺≝⩲⋰*⋻1196⪛⫼(↩⋰*⋻1464))∘((⋰*⋻3A94⫃⨇⋰*⋻1832)⨽⪊≇)","cot":[{"info":"⋰*⋻5319⊓⋫=⋰*⋻-5425","layer":3},{"info":"⫖→⋰*⋻-5425=⋰*⋻151","layer":2},{"info":"⪨⨬⋰*⋻151=⋰*⋻-439","layer":1},{"info":"⋰*⋻1223∺≝⩲⋰*⋻1196=⋰*⋻136","layer":3},{"info":"↩⋰*⋻1464=⋰*⋻-9272","layer":3},{"info":"⋰*⋻136⪛⫼⋰*⋻-9272=⋰*⋻-1343","layer":2},{"info":"⋰*⋻3A94⫃⨇⋰*⋻1832=⋰*⋻-7047","layer":3},{"info":"⋰*⋻-7047⨽⪊≇=⋰*⋻-13521","layer":2},{"info":"⋰*⋻-1343∘⋰*⋻-13521=⋰*⋻1659","layer":1},{"info":"⋰*⋻-439-⋰*⋻1659=⋰*⋻-1A97","layer":0}]}
{"id":826,"expression_no_base_symbol":"($2465$⊮⊟↴$2227$≃⋄)≁↽≥(($2460$⩘⨬⇊)⇆⨓≜)⨎((⫖→($1718$⫌⩉⩟$1048$))⩹($4685$⨸⪁$4061$)⊋(+⊝⨔$2216$))","expression":"(⋰*⋻1941⊮⊟↴⋰*⋻1745≃⋄)≁↽≥((⋰*⋻1937⩘⨬⇊)⇆⨓≜)⨎((⫖→(⋰*⋻1322⫌⩉⩟⋰*⋻873))⩹(⋰*⋻357A⨸⪁⋰*⋻3062)⊋(+⊝⨔⋰*⋻1735))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13749,"operation_count":12,"complexity_ratio":1145.75,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2465,"base":11},"right_expr":{"type":"numeric_atoms","value":2227,"base":11}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":2460,"base":11}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1718,"base":11},"right_expr":{"type":"numeric_atoms","value":1048,"base":11}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4685,"base":11},"right_expr":{"type":"numeric_atoms","value":4061,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2216,"base":11}}}}},"used_operators":["rJVOvQCfKK","ncHt1X6cMc","aN9a90urxU","QDVgd2eftb","KvvgdUaMHJ","XXmTpEpWTW","2Wsdkap16l","U4ylXWHChL","XIIwhv8d0m","W4tP9CfskL","g55IO6H4Gj","DhbWaqg5eL"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","oWn0xqSxBt","3Oe9XWJUTD","uFcxV4UQCh","jLgFTUHLKL","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Uaa54Peajs","KYD54nUTWz","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⋰*⋻95235633","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2465","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=2227, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":2},{"info":"number node, value=2460","layer":4},{"info":"compute unary expreesion, input=2460, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":1},{"info":"number node, value=1718","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=1048, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=4685","layer":4},{"info":"number node, value=4061","layer":4},{"info":"compute binary expreesion, left_input=4685, right_input=4061, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17492","layer":3},{"info":"number node, value=2216","layer":4},{"info":"compute unary expreesion, input=2216, 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=17492, right_input=1522, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=184615788","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=184615788, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=184615786","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=184615786, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=184615786","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1941⊮⊟↴⋰*⋻1745≃⋄)≁↽≥((⋰*⋻1937⩘⨬⇊)⇆⨓≜)⨎((⫖→(⋰*⋻1322⫌⩉⩟⋰*⋻873))⩹(⋰*⋻357A⨸⪁⋰*⋻3062)⊋(+⊝⨔⋰*⋻1735))=⋰*⋻95235633","reverse_text":"⋰*⋻95235633=(⋰*⋻1941⊮⊟↴⋰*⋻1745≃⋄)≁↽≥((⋰*⋻1937⩘⨬⇊)⇆⨓≜)⨎((⫖→(⋰*⋻1322⫌⩉⩟⋰*⋻873))⩹(⋰*⋻357A⨸⪁⋰*⋻3062)⊋(+⊝⨔⋰*⋻1735))","cot":[{"info":"⋰*⋻1941⊮⊟↴⋰*⋻1745=⋰*⋻0","layer":3},{"info":"⋰*⋻0≃⋄=NaN","layer":2},{"info":"⋰*⋻1937⩘⨬⇊=NaN","layer":3},{"info":"NaN⇆⨓≜=NaN","layer":2},{"info":"NaN≁↽≥NaN=NaN","layer":1},{"info":"⋰*⋻1322⫌⩉⩟⋰*⋻873=⋰*⋻-46","layer":3},{"info":"⫖→⋰*⋻-46=⋰*⋻151","layer":2},{"info":"⋰*⋻357A⨸⪁⋰*⋻3062=⋰*⋻12162","layer":3},{"info":"+⊝⨔⋰*⋻1735=⋰*⋻1164","layer":3},{"info":"⋰*⋻12162⊋⋰*⋻1164=⋰*⋻95235635","layer":2},{"info":"⋰*⋻151⩹⋰*⋻95235635=⋰*⋻95235633","layer":1},{"info":"NaN⨎⋰*⋻95235633=⋰*⋻95235633","layer":0}]}
{"id":827,"expression_no_base_symbol":"(($1214$⋛$5831$)⨔⇊($1481$⊎←↗)↼⊘⨖($2096$∠↢$1346$)≁($2186$⊋$5172$))≚⊃≕(($2648$⇀∌)⪃⊛⇣($5175$⩒⫫$1200$)⇴∐($2581$⩁⩘$5458$∖$2905$⨻⩈⩔$1866$))","expression":"((⋰*⋻A04⋛⋰*⋻4421)⨔⇊(⋰*⋻1127⊎←↗)↼⊘⨖(⋰*⋻1636∠↢⋰*⋻1014)≁(⋰*⋻1708⊋⋰*⋻3982))≚⊃≕((⋰*⋻1A98⇀∌)⪃⊛⇣(⋰*⋻3985⩒⫫⋰*⋻9A1)⇴∐(⋰*⋻1A37⩁⩘⋰*⋻4112∖⋰*⋻2201⨻⩈⩔⋰*⋻1447))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":420112,"operation_count":15,"complexity_ratio":28007.466666666667,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1214,"base":11},"right_expr":{"type":"numeric_atoms","value":5831,"base":11}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":1481,"base":11}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2096,"base":11},"right_expr":{"type":"numeric_atoms","value":1346,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2186,"base":11},"right_expr":{"type":"numeric_atoms","value":5172,"base":11}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":2648,"base":11}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5175,"base":11},"right_expr":{"type":"numeric_atoms","value":1200,"base":11}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2581,"base":11},"right_expr":{"type":"numeric_atoms","value":5458,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2905,"base":11},"right_expr":{"type":"numeric_atoms","value":1866,"base":11}}}}},"used_operators":["Bmrmz2XGnR","bPywburJMS","JclMnS0uGI","YbUVn0Rbpy","dwb5p0fa6d","8N2wDY1A35","KbjG8mgYpV","W4tP9CfskL","HnzytWxmAO","rrgAzCduG9","2k53nXOpI5","KFSx94NKJn","tXD093vOjl","gub5Cegaqo","nEsXyWgiOK"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DpFCA1CohY","IWmyXbctLI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":4},{"info":"number node, value=5831","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=5831, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-121266","layer":3},{"info":"number node, value=1481","layer":4},{"info":"compute unary expreesion, input=1481, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-2277","layer":3},{"info":"compute binary expreesion, left_input=-121266, right_input=-2277, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-718367","layer":2},{"info":"number node, value=2096","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=1346, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-26146","layer":3},{"info":"number node, value=2186","layer":4},{"info":"number node, value=5172","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=5172, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-120037204","layer":3},{"info":"compute binary expreesion, left_input=-26146, right_input=-120037204, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-718367, right_input=-inf, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"number node, value=2648","layer":4},{"info":"compute unary expreesion, input=2648, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"number node, value=5175","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=5175, right_input=1200, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4873","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=4873, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=2581","layer":4},{"info":"number node, value=5458","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=5458, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=22780","layer":3},{"info":"number node, value=2905","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=1866, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=14839","layer":3},{"info":"compute binary expreesion, left_input=22780, right_input=14839, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=4652","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4652, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻A04⋛⋰*⋻4421)⨔⇊(⋰*⋻1127⊎←↗)↼⊘⨖(⋰*⋻1636∠↢⋰*⋻1014)≁(⋰*⋻1708⊋⋰*⋻3982))≚⊃≕((⋰*⋻1A98⇀∌)⪃⊛⇣(⋰*⋻3985⩒⫫⋰*⋻9A1)⇴∐(⋰*⋻1A37⩁⩘⋰*⋻4112∖⋰*⋻2201⨻⩈⩔⋰*⋻1447))=⋰*⋻61","reverse_text":"⋰*⋻61=((⋰*⋻A04⋛⋰*⋻4421)⨔⇊(⋰*⋻1127⊎←↗)↼⊘⨖(⋰*⋻1636∠↢⋰*⋻1014)≁(⋰*⋻1708⊋⋰*⋻3982))≚⊃≕((⋰*⋻1A98⇀∌)⪃⊛⇣(⋰*⋻3985⩒⫫⋰*⋻9A1)⇴∐(⋰*⋻1A37⩁⩘⋰*⋻4112∖⋰*⋻2201⨻⩈⩔⋰*⋻1447))","cot":[{"info":"⋰*⋻A04⋛⋰*⋻4421=⋰*⋻-83122","layer":3},{"info":"⋰*⋻1127⊎←↗=⋰*⋻-1790","layer":3},{"info":"⋰*⋻-83122⨔⇊⋰*⋻-1790=⋰*⋻-4507A1","layer":2},{"info":"⋰*⋻1636∠↢⋰*⋻1014=⋰*⋻-1870A","layer":3},{"info":"⋰*⋻1708⊋⋰*⋻3982=⋰*⋻-61837801","layer":3},{"info":"⋰*⋻-1870A≁⋰*⋻-61837801=-Inf","layer":2},{"info":"⋰*⋻-4507A1↼⊘⨖-Inf=NaN","layer":1},{"info":"⋰*⋻1A98⇀∌=⋰*⋻A3","layer":3},{"info":"⋰*⋻3985⩒⫫⋰*⋻9A1=⋰*⋻3730","layer":3},{"info":"⋰*⋻A3⪃⊛⇣⋰*⋻3730=⋰*⋻A22","layer":2},{"info":"⋰*⋻1A37⩁⩘⋰*⋻4112=⋰*⋻1612A","layer":3},{"info":"⋰*⋻2201⨻⩈⩔⋰*⋻1447=⋰*⋻10170","layer":3},{"info":"⋰*⋻1612A∖⋰*⋻10170=⋰*⋻0","layer":2},{"info":"⋰*⋻A22⇴∐⋰*⋻0=⋰*⋻354A","layer":1},{"info":"NaN≚⊃≕⋰*⋻354A=⋰*⋻61","layer":0}]}
{"id":828,"expression_no_base_symbol":"↞≼(($1888$⪨⊡$2339$⨔≚≋($1096$⨐⩸⫘$3120$))⩼⇪↪(⩏⊷≩$1937$≀⫉$4909$))","expression":"↞≼((⋰*⋻1467⪨⊡⋰*⋻1837⨔≚≋(⋰*⋻907⨐⩸⫘⋰*⋻2387))⩼⇪↪(⩏⊷≩⋰*⋻1501≀⫉⋰*⋻3763))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":251,"operation_count":7,"complexity_ratio":35.857142857142854,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1888,"base":11},"right_expr":{"type":"numeric_atoms","value":2339,"base":11}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1096,"base":11},"right_expr":{"type":"numeric_atoms","value":3120,"base":11}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1937,"base":11},"right_expr":{"type":"numeric_atoms","value":4909,"base":11}}}}},"used_operators":["DE7zCoGJt9","ocnLzx9CaJ","Z57zeUYC9z","kuIXHzHcAH","fu6greOZ01","uOZ1tnYMDE","oZj3VtZNQx"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","3ViojmjbAp","23Mk6UjR3U","12rbrZMWeM","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1888","layer":4},{"info":"number node, value=2339","layer":4},{"info":"compute binary expreesion, left_input=1888, right_input=2339, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=3120","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=3120, 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 = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=1937","layer":4},{"info":"number node, value=4909","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=4909, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=5343","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5343, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↞≼((⋰*⋻1467⪨⊡⋰*⋻1837⨔≚≋(⋰*⋻907⨐⩸⫘⋰*⋻2387))⩼⇪↪(⩏⊷≩⋰*⋻1501≀⫉⋰*⋻3763))=NaN","reverse_text":"NaN=↞≼((⋰*⋻1467⪨⊡⋰*⋻1837⨔≚≋(⋰*⋻907⨐⩸⫘⋰*⋻2387))⩼⇪↪(⩏⊷≩⋰*⋻1501≀⫉⋰*⋻3763))","cot":[{"info":"⋰*⋻1467⪨⊡⋰*⋻1837=⋰*⋻0","layer":3},{"info":"⋰*⋻907⨐⩸⫘⋰*⋻2387=NaN","layer":3},{"info":"⋰*⋻0⨔≚≋NaN=NaN","layer":2},{"info":"⋰*⋻1501≀⫉⋰*⋻3763=⋰*⋻2136","layer":3},{"info":"⩏⊷≩⋰*⋻2136=⋰*⋻4018","layer":2},{"info":"NaN⩼⇪↪⋰*⋻4018=NaN","layer":1},{"info":"↞≼NaN=NaN","layer":0}]}
{"id":829,"expression_no_base_symbol":"(∓⪦(($1235$⇟⨁⪰)⇯⋐))⫣⪄⊒(($2522$⨼⩣$1732$≃($6437$⨳⩥⨓$2731$))↳∿⪆(($3358$⩷∴$2013$)⋛($1703$∷)))","expression":"(∓⪦((⋰*⋻A23⇟⨁⪰)⇯⋐))⫣⪄⊒((⋰*⋻1993⨼⩣⋰*⋻1335≃(⋰*⋻4922⨳⩥⨓⋰*⋻2063))↳∿⪆((⋰*⋻2583⩷∴⋰*⋻1570)⋛(⋰*⋻1309∷)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5263,"operation_count":11,"complexity_ratio":478.45454545454544,"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":1235,"base":11}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2522,"base":11},"right_expr":{"type":"numeric_atoms","value":1732,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6437,"base":11},"right_expr":{"type":"numeric_atoms","value":2731,"base":11}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3358,"base":11},"right_expr":{"type":"numeric_atoms","value":2013,"base":11}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1703,"base":11}}}}},"used_operators":["RabNbG55vr","D309nIvmXG","LkLIoiE525","BX1lVwlMe0","Cw4SuJJGHO","YbVcJGFEVW","JxwMv5le6e","nCS4ZIUYfx","YbUVn0Rbpy","9FxExcQeMw","nFAOW8KTqp"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","xUOZtlo3hN","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1409","layer":3},{"info":"compute unary expreesion, input=-1409, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=-476","layer":2},{"info":"compute unary expreesion, input=-476, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2598","layer":1},{"info":"number node, value=2522","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=1732, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=6437","layer":4},{"info":"number node, value=2731","layer":4},{"info":"compute binary expreesion, left_input=6437, right_input=2731, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3706","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3706, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=14784","layer":2},{"info":"number node, value=3358","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=3358, right_input=2013, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2658","layer":3},{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=5109","layer":3},{"info":"compute binary expreesion, left_input=2658, right_input=5109, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-108270","layer":2},{"info":"compute binary expreesion, left_input=14784, right_input=-108270, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2598, right_input=nan, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(∓⪦((⋰*⋻A23⇟⨁⪰)⇯⋐))⫣⪄⊒((⋰*⋻1993⨼⩣⋰*⋻1335≃(⋰*⋻4922⨳⩥⨓⋰*⋻2063))↳∿⪆((⋰*⋻2583⩷∴⋰*⋻1570)⋛(⋰*⋻1309∷)))=⋰*⋻136","reverse_text":"⋰*⋻136=(∓⪦((⋰*⋻A23⇟⨁⪰)⇯⋐))⫣⪄⊒((⋰*⋻1993⨼⩣⋰*⋻1335≃(⋰*⋻4922⨳⩥⨓⋰*⋻2063))↳∿⪆((⋰*⋻2583⩷∴⋰*⋻1570)⋛(⋰*⋻1309∷)))","cot":[{"info":"⋰*⋻A23⇟⨁⪰=⋰*⋻-1071","layer":3},{"info":"⋰*⋻-1071⇯⋐=⋰*⋻-3A3","layer":2},{"info":"∓⪦⋰*⋻-3A3=⋰*⋻-1A52","layer":1},{"info":"⋰*⋻1993⨼⩣⋰*⋻1335=NaN","layer":3},{"info":"⋰*⋻4922⨳⩥⨓⋰*⋻2063=⋰*⋻-286A","layer":3},{"info":"NaN≃⋰*⋻-286A=⋰*⋻10120","layer":2},{"info":"⋰*⋻2583⩷∴⋰*⋻1570=⋰*⋻1AA7","layer":3},{"info":"⋰*⋻1309∷=⋰*⋻3925","layer":3},{"info":"⋰*⋻1AA7⋛⋰*⋻3925=⋰*⋻-74388","layer":2},{"info":"⋰*⋻10120↳∿⪆⋰*⋻-74388=NaN","layer":1},{"info":"⋰*⋻-1A52⫣⪄⊒NaN=⋰*⋻136","layer":0}]}
{"id":830,"expression_no_base_symbol":"($1004$≠≀$4928$⋳⪒(⫵↿$4323$))⊢($1367$⨫⇇↔$1490$↬⩅∪)⩧⪆($1468$⨜⨶$1826$∀⇚≩($4289$≬⋮$2193$)≀⩗∶$5717$⨭⪣$3169$⪛⫼($3325$⨸⪁$1175$))","expression":"(⋰*⋻833≠≀⋰*⋻3780⋳⪒(⫵↿⋰*⋻3280))⊢(⋰*⋻1033⨫⇇↔⋰*⋻1135↬⩅∪)⩧⪆(⋰*⋻1115⨜⨶⋰*⋻1410∀⇚≩(⋰*⋻324A≬⋮⋰*⋻1714)≀⩗∶⋰*⋻4328⨭⪣⋰*⋻2421⪛⫼(⋰*⋻2553⨸⪁⋰*⋻979))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24118,"operation_count":14,"complexity_ratio":1722.7142857142858,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1004,"base":11},"right_expr":{"type":"numeric_atoms","value":4928,"base":11}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":4323,"base":11}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1367,"base":11},"right_expr":{"type":"numeric_atoms","value":1490,"base":11}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1468,"base":11},"right_expr":{"type":"numeric_atoms","value":1826,"base":11}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4289,"base":11},"right_expr":{"type":"numeric_atoms","value":2193,"base":11}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5717,"base":11},"right_expr":{"type":"numeric_atoms","value":3169,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3325,"base":11},"right_expr":{"type":"numeric_atoms","value":1175,"base":11}}}}},"used_operators":["Ikt5ks8PT7","5twsqlHp2o","12rbrZMWeM","IwW236VD4Y","ivGwdmUAux","VJ330n2nnx","LXhwmt4mBO","8INZBEW696","LRNGc0VcxI","HiPekx5b7W","kbkesczE7y","hyuBjUqXlG","kn8WO9XteQ","g55IO6H4Gj"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","X99M06cbEe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=4928, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1702","layer":3},{"info":"number node, value=4323","layer":4},{"info":"compute unary expreesion, input=4323, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=-1702, right_input=137, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3828","layer":2},{"info":"number node, value=1367","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=1490, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=1581","layer":2},{"info":"compute binary expreesion, left_input=-3828, right_input=1581, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=7412","layer":1},{"info":"number node, value=1468","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=1826, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3396","layer":3},{"info":"number node, value=4289","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=4289, right_input=2193, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-3396, right_input=868, 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=5717","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=5717, right_input=3169, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4438","layer":3},{"info":"number node, value=3325","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=3325, right_input=1175, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9000","layer":3},{"info":"compute binary expreesion, left_input=4438, right_input=9000, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7412, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻833≠≀⋰*⋻3780⋳⪒(⫵↿⋰*⋻3280))⊢(⋰*⋻1033⨫⇇↔⋰*⋻1135↬⩅∪)⩧⪆(⋰*⋻1115⨜⨶⋰*⋻1410∀⇚≩(⋰*⋻324A≬⋮⋰*⋻1714)≀⩗∶⋰*⋻4328⨭⪣⋰*⋻2421⪛⫼(⋰*⋻2553⨸⪁⋰*⋻979))=NaN","reverse_text":"NaN=(⋰*⋻833≠≀⋰*⋻3780⋳⪒(⫵↿⋰*⋻3280))⊢(⋰*⋻1033⨫⇇↔⋰*⋻1135↬⩅∪)⩧⪆(⋰*⋻1115⨜⨶⋰*⋻1410∀⇚≩(⋰*⋻324A≬⋮⋰*⋻1714)≀⩗∶⋰*⋻4328⨭⪣⋰*⋻2421⪛⫼(⋰*⋻2553⨸⪁⋰*⋻979))","cot":[{"info":"⋰*⋻833≠≀⋰*⋻3780=⋰*⋻-1308","layer":3},{"info":"⫵↿⋰*⋻3280=⋰*⋻115","layer":3},{"info":"⋰*⋻-1308⋳⪒⋰*⋻115=⋰*⋻-2970","layer":2},{"info":"⋰*⋻1033⨫⇇↔⋰*⋻1135=⋰*⋻-43A","layer":3},{"info":"⋰*⋻-43A↬⩅∪=⋰*⋻1208","layer":2},{"info":"⋰*⋻-2970⊢⋰*⋻1208=⋰*⋻5629","layer":1},{"info":"⋰*⋻1115⨜⨶⋰*⋻1410=⋰*⋻-2608","layer":3},{"info":"⋰*⋻324A≬⋮⋰*⋻1714=⋰*⋻71A","layer":3},{"info":"⋰*⋻-2608∀⇚≩⋰*⋻71A=NaN","layer":2},{"info":"⋰*⋻4328⨭⪣⋰*⋻2421=⋰*⋻3375","layer":3},{"info":"⋰*⋻2553⨸⪁⋰*⋻979=⋰*⋻6842","layer":3},{"info":"⋰*⋻3375⪛⫼⋰*⋻6842=⋰*⋻800","layer":2},{"info":"NaN≀⩗∶⋰*⋻800=NaN","layer":1},{"info":"⋰*⋻5629⩧⪆NaN=NaN","layer":0}]}
{"id":831,"expression_no_base_symbol":"⪭⩑⪱(⊖∈($1089$⫳≱↱$5134$))∣($1946$⊱⇼⊻$5770$⊉≛↸$1395$⇡⇂$1002$)","expression":"⪭⩑⪱(⊖∈(⋰*⋻900⫳≱↱⋰*⋻3948))∣(⋰*⋻150A⊱⇼⊻⋰*⋻4376⊉≛↸⋰*⋻1059⇡⇂⋰*⋻831)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":44349,"operation_count":7,"complexity_ratio":6335.571428571428,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1089,"base":11},"right_expr":{"type":"numeric_atoms","value":5134,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1946,"base":11},"right_expr":{"type":"numeric_atoms","value":5770,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1395,"base":11},"right_expr":{"type":"numeric_atoms","value":1002,"base":11}}}}},"used_operators":["SIgE0bArFf","PPChnnnBFF","YFxL8Sc2Zy","ZvLB05nZmT","DZ8iAZOCBD","FyVja0WsTP","UMwdvZNt44"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⋰*⋻4773560","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=5134","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=5134, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=-9674","layer":2},{"info":"number node, value=1946","layer":4},{"info":"number node, value=5770","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=5770, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1395","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=1002, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-9674, right_input=868, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-9674","layer":1},{"info":"compute unary expreesion, input=-9674, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":11,"result_base":11,"text":"⪭⩑⪱(⊖∈(⋰*⋻900⫳≱↱⋰*⋻3948))∣(⋰*⋻150A⊱⇼⊻⋰*⋻4376⊉≛↸⋰*⋻1059⇡⇂⋰*⋻831)=⋰*⋻4773560","reverse_text":"⋰*⋻4773560=⪭⩑⪱(⊖∈(⋰*⋻900⫳≱↱⋰*⋻3948))∣(⋰*⋻150A⊱⇼⊻⋰*⋻4376⊉≛↸⋰*⋻1059⇡⇂⋰*⋻831)","cot":[{"info":"⋰*⋻900⫳≱↱⋰*⋻3948=⋰*⋻-176","layer":3},{"info":"⊖∈⋰*⋻-176=⋰*⋻-72A5","layer":2},{"info":"⋰*⋻150A⊱⇼⊻⋰*⋻4376=⋰*⋻365","layer":3},{"info":"⋰*⋻1059⇡⇂⋰*⋻831=NaN","layer":3},{"info":"⋰*⋻365⊉≛↸NaN=⋰*⋻71A","layer":2},{"info":"⋰*⋻-72A5∣⋰*⋻71A=⋰*⋻-72A5","layer":1},{"info":"⪭⩑⪱⋰*⋻-72A5=⋰*⋻4773560","layer":0}]}
{"id":832,"expression_no_base_symbol":"((⫛⫱⨽($3322$⊬⨰$1046$))⇉⇉)⫒⫫(($1704$≎⪠$4534$⩁)⫲)","expression":"((⫛⫱⨽(⋰*⋻2550⊬⨰⋰*⋻871))⇉⇉)⫒⫫((⋰*⋻130A≎⪠⋰*⋻3452⩁)⫲)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20628,"operation_count":7,"complexity_ratio":2946.8571428571427,"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":3322,"base":11},"right_expr":{"type":"numeric_atoms","value":1046,"base":11}}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1704,"base":11},"right_expr":{"type":"numeric_atoms","value":4534,"base":11}}}}},"used_operators":["6Ko8hGgeMq","diKm42VcIt","DlLNRPXxWL","s3Fd5m9Dh2","9xnGDUPbC6","5GqDbVmqXU","aNhz54LH3e"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rGHVDoGpnC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3322","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=1046, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6450","layer":3},{"info":"compute unary expreesion, input=6450, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=6652","layer":1},{"info":"number node, value=1704","layer":4},{"info":"number node, value=4534","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=4534, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-153684","layer":2},{"info":"compute unary expreesion, input=-153684, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=307247","layer":1},{"info":"compute binary expreesion, left_input=6652, right_input=307247, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⫛⫱⨽(⋰*⋻2550⊬⨰⋰*⋻871))⇉⇉)⫒⫫((⋰*⋻130A≎⪠⋰*⋻3452⩁)⫲)=NaN","reverse_text":"NaN=((⫛⫱⨽(⋰*⋻2550⊬⨰⋰*⋻871))⇉⇉)⫒⫫((⋰*⋻130A≎⪠⋰*⋻3452⩁)⫲)","cot":[{"info":"⋰*⋻2550⊬⨰⋰*⋻871=⋰*⋻4934","layer":3},{"info":"⫛⫱⨽⋰*⋻4934=⋰*⋻0","layer":2},{"info":"⋰*⋻0⇉⇉=⋰*⋻4AA8","layer":1},{"info":"⋰*⋻130A≎⪠⋰*⋻3452=⋰*⋻13770","layer":3},{"info":"⋰*⋻13770⩁=⋰*⋻-A5513","layer":2},{"info":"⋰*⋻-A5513⫲=⋰*⋻19A926","layer":1},{"info":"⋰*⋻4AA8⫒⫫⋰*⋻19A926=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"((↘$3635$)≹⇙⪍($2692$⇴∐$2675$)∠↢$6942$⨽∌$4721$⨜⨶($3594$⩒⫫$1175$))⊹∫⫚($6186$⊉≛↸$3311$⫔⩽⩺(⨰⫟⨤$5638$)⨑≵⋬($5661$⊅)⊋($2147$⪐))","expression":"((↘⋰*⋻2805)≹⇙⪍(⋰*⋻2028⇴∐⋰*⋻2012)∠↢⋰*⋻5241⨽∌⋰*⋻3602⨜⨶(⋰*⋻2778⩒⫫⋰*⋻979))⊹∫⫚(⋰*⋻4714⊉≛↸⋰*⋻2540⫔⩽⩺(⨰⫟⨤⋰*⋻4266)⨑≵⋬(⋰*⋻4287⊅)⊋(⋰*⋻1682⪐))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30944,"operation_count":15,"complexity_ratio":2062.9333333333334,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3635,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2692,"base":11},"right_expr":{"type":"numeric_atoms","value":2675,"base":11}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6942,"base":11},"right_expr":{"type":"numeric_atoms","value":4721,"base":11}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3594,"base":11},"right_expr":{"type":"numeric_atoms","value":1175,"base":11}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6186,"base":11},"right_expr":{"type":"numeric_atoms","value":3311,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5638,"base":11}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":5661,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2147,"base":11}}}}},"used_operators":["uWAJUKEvyW","KbjG8mgYpV","AHs5Up7iyr","LdNpr8hQHL","HnzytWxmAO","HiPekx5b7W","9samAPKr6k","KFSx94NKJn","XnXgA4xnOs","i9eR4S00cU","DZ8iAZOCBD","Tw270M8GLb","W4tP9CfskL","7p6YLioM7f","eH2TOUuTDT"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","uFcxV4UQCh","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3635","layer":4},{"info":"compute unary expreesion, input=3635, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=107","layer":3},{"info":"number node, value=2692","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=2675, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6942","layer":4},{"info":"number node, value=4721","layer":4},{"info":"compute binary expreesion, left_input=6942, right_input=4721, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3594","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=3594, right_input=1175, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3292","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3292, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6328","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6328, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"number node, value=6186","layer":4},{"info":"number node, value=3311","layer":4},{"info":"compute binary expreesion, left_input=6186, right_input=3311, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12372","layer":3},{"info":"number node, value=5638","layer":4},{"info":"compute unary expreesion, input=5638, 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=12372, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=5661","layer":4},{"info":"compute unary expreesion, input=5661, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=2147","layer":4},{"info":"compute unary expreesion, input=2147, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4294","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=4294, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-149292732","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-149292732, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↘⋰*⋻2805)≹⇙⪍(⋰*⋻2028⇴∐⋰*⋻2012)∠↢⋰*⋻5241⨽∌⋰*⋻3602⨜⨶(⋰*⋻2778⩒⫫⋰*⋻979))⊹∫⫚(⋰*⋻4714⊉≛↸⋰*⋻2540⫔⩽⩺(⨰⫟⨤⋰*⋻4266)⨑≵⋬(⋰*⋻4287⊅)⊋(⋰*⋻1682⪐))=NaN","reverse_text":"NaN=((↘⋰*⋻2805)≹⇙⪍(⋰*⋻2028⇴∐⋰*⋻2012)∠↢⋰*⋻5241⨽∌⋰*⋻3602⨜⨶(⋰*⋻2778⩒⫫⋰*⋻979))⊹∫⫚(⋰*⋻4714⊉≛↸⋰*⋻2540⫔⩽⩺(⨰⫟⨤⋰*⋻4266)⨑≵⋬(⋰*⋻4287⊅)⊋(⋰*⋻1682⪐))","cot":[{"info":"↘⋰*⋻2805=⋰*⋻98","layer":3},{"info":"⋰*⋻2028⇴∐⋰*⋻2012=NaN","layer":3},{"info":"⋰*⋻98≹⇙⪍NaN=NaN","layer":2},{"info":"⋰*⋻5241⨽∌⋰*⋻3602=⋰*⋻0","layer":3},{"info":"⋰*⋻2778⩒⫫⋰*⋻979=⋰*⋻2523","layer":3},{"info":"⋰*⋻0⨜⨶⋰*⋻2523=⋰*⋻-4833","layer":2},{"info":"NaN∠↢⋰*⋻-4833=NaN","layer":1},{"info":"⋰*⋻4714⊉≛↸⋰*⋻2540=⋰*⋻9328","layer":3},{"info":"⨰⫟⨤⋰*⋻4266=NaN","layer":3},{"info":"⋰*⋻9328⫔⩽⩺NaN=NaN","layer":2},{"info":"⋰*⋻4287⊅=⋰*⋻-149","layer":3},{"info":"⋰*⋻1682⪐=⋰*⋻3254","layer":3},{"info":"⋰*⋻-149⊋⋰*⋻3254=⋰*⋻-772A9926","layer":2},{"info":"NaN⨑≵⋬⋰*⋻-772A9926=NaN","layer":1},{"info":"NaN⊹∫⫚NaN=NaN","layer":0}]}
{"id":834,"expression_no_base_symbol":"(($1868$⩁⩘$2607$)⊉↱≁(⨂⪏⇭$1731$)∝$3562$⩖⊿$1105$↢(↘$2499$))≴⪞⇿($3041$∴$2537$⩖⊿($2091$∳⫺$1777$)⩘(≋$2317$)⋥⋵⩄($1935$∷$2194$))","expression":"((⋰*⋻1449⩁⩘⋰*⋻1A60)⊉↱≁(⨂⪏⇭⋰*⋻1334)∝⋰*⋻2749⩖⊿⋰*⋻915↢(↘⋰*⋻1972))≴⪞⇿(⋰*⋻2315∴⋰*⋻19A7⩖⊿(⋰*⋻1631∳⫺⋰*⋻1376)⩘(≋⋰*⋻1817)⋥⋵⩄(⋰*⋻14AA∷⋰*⋻1715))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":187762,"operation_count":15,"complexity_ratio":12517.466666666667,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1868,"base":11},"right_expr":{"type":"numeric_atoms","value":2607,"base":11}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1731,"base":11}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3562,"base":11},"right_expr":{"type":"numeric_atoms","value":1105,"base":11}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2499,"base":11}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3041,"base":11},"right_expr":{"type":"numeric_atoms","value":2537,"base":11}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2091,"base":11},"right_expr":{"type":"numeric_atoms","value":1777,"base":11}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2317,"base":11}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1935,"base":11},"right_expr":{"type":"numeric_atoms","value":2194,"base":11}}}}},"used_operators":["lvlrscuwVU","cTDWOvIxvz","w2P8NbNXyL","gub5Cegaqo","AYdpE9sXAk","WR6HLWljOP","RZ5CV9rWsJ","LdNpr8hQHL","cHh1gJQ2o6","hrf7POJlIJ","AzXXKTstlj","7t3wd0Fuz7","61wBmkZwlr","D3AQDKkPcf"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DpFCA1CohY","IWmyXbctLI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","uFcxV4UQCh","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","7j4O788W3g","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1868","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=2607, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11376","layer":3},{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4214","layer":3},{"info":"compute binary expreesion, left_input=11376, right_input=4214, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=88424","layer":2},{"info":"number node, value=3562","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=3562, right_input=1105, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-5490","layer":3},{"info":"number node, value=2499","layer":4},{"info":"compute unary expreesion, input=2499, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=147","layer":3},{"info":"compute binary expreesion, left_input=-5490, right_input=147, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-10686","layer":2},{"info":"compute binary expreesion, left_input=88424, right_input=-10686, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=88429","layer":1},{"info":"number node, value=3041","layer":4},{"info":"number node, value=2537","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=2537, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7730","layer":3},{"info":"number node, value=2091","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=1777, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=7730, right_input=-260, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-33082","layer":2},{"info":"number node, value=2317","layer":4},{"info":"compute unary expreesion, input=2317, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2317","layer":3},{"info":"number node, value=1935","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=2194, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2194","layer":3},{"info":"compute binary expreesion, left_input=2317, right_input=2194, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-33082, right_input=113, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=88429, right_input=160, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1449⩁⩘⋰*⋻1A60)⊉↱≁(⨂⪏⇭⋰*⋻1334)∝⋰*⋻2749⩖⊿⋰*⋻915↢(↘⋰*⋻1972))≴⪞⇿(⋰*⋻2315∴⋰*⋻19A7⩖⊿(⋰*⋻1631∳⫺⋰*⋻1376)⩘(≋⋰*⋻1817)⋥⋵⩄(⋰*⋻14AA∷⋰*⋻1715))=Inf","reverse_text":"Inf=((⋰*⋻1449⩁⩘⋰*⋻1A60)⊉↱≁(⨂⪏⇭⋰*⋻1334)∝⋰*⋻2749⩖⊿⋰*⋻915↢(↘⋰*⋻1972))≴⪞⇿(⋰*⋻2315∴⋰*⋻19A7⩖⊿(⋰*⋻1631∳⫺⋰*⋻1376)⩘(≋⋰*⋻1817)⋥⋵⩄(⋰*⋻14AA∷⋰*⋻1715))","cot":[{"info":"⋰*⋻1449⩁⩘⋰*⋻1A60=⋰*⋻8602","layer":3},{"info":"⨂⪏⇭⋰*⋻1334=⋰*⋻3191","layer":3},{"info":"⋰*⋻8602⊉↱≁⋰*⋻3191=⋰*⋻60486","layer":2},{"info":"⋰*⋻2749⩖⊿⋰*⋻915=⋰*⋻-4141","layer":3},{"info":"↘⋰*⋻1972=⋰*⋻124","layer":3},{"info":"⋰*⋻-4141↢⋰*⋻124=⋰*⋻-8035","layer":2},{"info":"⋰*⋻60486∝⋰*⋻-8035=⋰*⋻60490","layer":1},{"info":"⋰*⋻2315∴⋰*⋻19A7=⋰*⋻5898","layer":3},{"info":"⋰*⋻1631∳⫺⋰*⋻1376=⋰*⋻-217","layer":3},{"info":"⋰*⋻5898⩖⊿⋰*⋻-217=⋰*⋻-22945","layer":2},{"info":"≋⋰*⋻1817=⋰*⋻1817","layer":3},{"info":"⋰*⋻14AA∷⋰*⋻1715=⋰*⋻1715","layer":3},{"info":"⋰*⋻1817⋥⋵⩄⋰*⋻1715=⋰*⋻A3","layer":2},{"info":"⋰*⋻-22945⩘⋰*⋻A3=⋰*⋻136","layer":1},{"info":"⋰*⋻60490≴⪞⇿⋰*⋻136=Inf","layer":0}]}
{"id":835,"expression_no_base_symbol":"(($8813$⇡)⇴($3088$∠↢$2947$)⋆⋳)∝(($3297$⫡⨏$1600$)⨒$5217$⪔$1107$)≠≀(($5575$⨎⋸⪻)⫔⩽⩺(≇⪴$1263$))","expression":"((⋰*⋻6692⇡)⇴(⋰*⋻2358∠↢⋰*⋻223A)⋆⋳)∝((⋰*⋻2528⫡⨏⋰*⋻1225)⨒⋰*⋻3A13⪔⋰*⋻917)≠≀((⋰*⋻4209⨎⋸⪻)⫔⩽⩺(≇⪴⋰*⋻A49))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1405,"operation_count":12,"complexity_ratio":117.08333333333333,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":8813,"base":11}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3088,"base":11},"right_expr":{"type":"numeric_atoms","value":2947,"base":11}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3297,"base":11},"right_expr":{"type":"numeric_atoms","value":1600,"base":11}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5217,"base":11},"right_expr":{"type":"numeric_atoms","value":1107,"base":11}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":5575,"base":11}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1263,"base":11}}}}},"used_operators":["cTDWOvIxvz","6MpZysEj17","4JB6nKBMSY","UqFzSgLMvQ","KbjG8mgYpV","IwW236VD4Y","y75s1iXyHd","QMFrweE19q","GjBEYRfMaF","i9eR4S00cU","Dk5vyLCiGd","zoVPnxeHJ3"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","sdazOOVcIp","NTOWxs364D","COABgblf1C","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Tw270M8GLb","fu6greOZ01","IWmyXbctLI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⋰*⋻1587A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8813","layer":4},{"info":"compute unary expreesion, input=8813, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=3088","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=2947, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-52528","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=-52528, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-122944","layer":2},{"info":"compute unary expreesion, input=-122944, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=245856","layer":1},{"info":"number node, value=3297","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=1600, 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=20468","layer":3},{"info":"number node, value=5217","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=5217, right_input=1107, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=20468, right_input=450, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"number node, value=5575","layer":4},{"info":"compute unary expreesion, input=5575, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=11466","layer":3},{"info":"number node, value=1263","layer":4},{"info":"compute unary expreesion, input=1263, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2449","layer":3},{"info":"compute binary expreesion, left_input=11466, right_input=-2449, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=306","layer":1},{"info":"compute binary expreesion, left_input=245856, right_input=306, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=245861","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻6692⇡)⇴(⋰*⋻2358∠↢⋰*⋻223A)⋆⋳)∝((⋰*⋻2528⫡⨏⋰*⋻1225)⨒⋰*⋻3A13⪔⋰*⋻917)≠≀((⋰*⋻4209⨎⋸⪻)⫔⩽⩺(≇⪴⋰*⋻A49))=⋰*⋻1587A0","reverse_text":"⋰*⋻1587A0=((⋰*⋻6692⇡)⇴(⋰*⋻2358∠↢⋰*⋻223A)⋆⋳)∝((⋰*⋻2528⫡⨏⋰*⋻1225)⨒⋰*⋻3A13⪔⋰*⋻917)≠≀((⋰*⋻4209⨎⋸⪻)⫔⩽⩺(≇⪴⋰*⋻A49))","cot":[{"info":"⋰*⋻6692⇡=⋰*⋻-2212","layer":3},{"info":"⋰*⋻2358∠↢⋰*⋻223A=⋰*⋻-36513","layer":3},{"info":"⋰*⋻-2212⇴⋰*⋻-36513=⋰*⋻-84408","layer":2},{"info":"⋰*⋻-84408⋆⋳=⋰*⋻158796","layer":1},{"info":"⋰*⋻2528⫡⨏⋰*⋻1225=⋰*⋻14418","layer":3},{"info":"⋰*⋻3A13⪔⋰*⋻917=⋰*⋻37A","layer":3},{"info":"⋰*⋻14418⨒⋰*⋻37A=⋰*⋻0","layer":2},{"info":"⋰*⋻4209⨎⋸⪻=⋰*⋻8684","layer":3},{"info":"≇⪴⋰*⋻A49=⋰*⋻-1927","layer":3},{"info":"⋰*⋻8684⫔⩽⩺⋰*⋻-1927=NaN","layer":2},{"info":"⋰*⋻0≠≀NaN=⋰*⋻259","layer":1},{"info":"⋰*⋻158796∝⋰*⋻259=⋰*⋻1587A0","layer":0}]}
{"id":836,"expression_no_base_symbol":"((↩⪖(⊀$8019$))⩨((⊬↢$4118$)≬⋮$1537$⩖⊿$1828$))⊝⪿⪼((($4284$⫦⪉$2421$)⊅)⨐⩸⫘($1050$⩷∴$3086$)∛($6651$⫍⨯↯))","expression":"((↩⪖(⊀⋰*⋻6030))⩨((⊬↢⋰*⋻3104)≬⋮⋰*⋻1178⩖⊿⋰*⋻1412))⊝⪿⪼(((⋰*⋻3245⫦⪉⋰*⋻1901)⊅)⨐⩸⫘(⋰*⋻875⩷∴⋰*⋻2356)∛(⋰*⋻4AA7⫍⨯↯))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":465563,"operation_count":13,"complexity_ratio":35812.53846153846,"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":8019,"base":11}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4118,"base":11}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1537,"base":11},"right_expr":{"type":"numeric_atoms","value":1828,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4284,"base":11},"right_expr":{"type":"numeric_atoms","value":2421,"base":11}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1050,"base":11},"right_expr":{"type":"numeric_atoms","value":3086,"base":11}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":6651,"base":11}}}}},"used_operators":["3Oe9XWJUTD","2DlMacCsIx","fG6uBQFnGz","oPMjh9089D","kbkesczE7y","WPoGxAaPR1","RZ5CV9rWsJ","fu6greOZ01","7p6YLioM7f","wscyQdcy20","w2537kitQq","9FxExcQeMw","ZcwmYACASQ"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","3ViojmjbAp","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"⋰*⋻8489","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=8019","layer":4},{"info":"compute unary expreesion, input=8019, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=31814","layer":3},{"info":"compute unary expreesion, input=31814, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-193866","layer":2},{"info":"number node, value=4118","layer":4},{"info":"compute unary expreesion, input=4118, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1537","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=1828, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=8394","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=8394, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-193866, right_input=868, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"number node, value=4284","layer":4},{"info":"number node, value=2421","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=2421, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3668","layer":3},{"info":"compute unary expreesion, input=-3668, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=3086","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=3086, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4104","layer":3},{"info":"number node, value=6651","layer":4},{"info":"compute unary expreesion, input=6651, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=6618","layer":3},{"info":"compute binary expreesion, left_input=-4104, right_input=6618, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=16947, right_input=-676, 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=-673","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=-673, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=11229","layer":0}],"base":11,"result_base":11,"text":"((↩⪖(⊀⋰*⋻6030))⩨((⊬↢⋰*⋻3104)≬⋮⋰*⋻1178⩖⊿⋰*⋻1412))⊝⪿⪼(((⋰*⋻3245⫦⪉⋰*⋻1901)⊅)⨐⩸⫘(⋰*⋻875⩷∴⋰*⋻2356)∛(⋰*⋻4AA7⫍⨯↯))=⋰*⋻8489","reverse_text":"⋰*⋻8489=((↩⪖(⊀⋰*⋻6030))⩨((⊬↢⋰*⋻3104)≬⋮⋰*⋻1178⩖⊿⋰*⋻1412))⊝⪿⪼(((⋰*⋻3245⫦⪉⋰*⋻1901)⊅)⨐⩸⫘(⋰*⋻875⩷∴⋰*⋻2356)∛(⋰*⋻4AA7⫍⨯↯))","cot":[{"info":"⊀⋰*⋻6030=⋰*⋻219A2","layer":3},{"info":"↩⪖⋰*⋻219A2=⋰*⋻-122722","layer":2},{"info":"⊬↢⋰*⋻3104=⋰*⋻189","layer":3},{"info":"⋰*⋻1178⩖⊿⋰*⋻1412=⋰*⋻6341","layer":3},{"info":"⋰*⋻189≬⋮⋰*⋻6341=⋰*⋻71A","layer":2},{"info":"⋰*⋻-122722⩨⋰*⋻71A=⋰*⋻3","layer":1},{"info":"⋰*⋻3245⫦⪉⋰*⋻1901=⋰*⋻-2835","layer":3},{"info":"⋰*⋻-2835⊅=⋰*⋻11807","layer":2},{"info":"⋰*⋻875⩷∴⋰*⋻2356=⋰*⋻-30A1","layer":3},{"info":"⋰*⋻4AA7⫍⨯↯=⋰*⋻4A77","layer":3},{"info":"⋰*⋻-30A1∛⋰*⋻4A77=⋰*⋻-565","layer":2},{"info":"⋰*⋻11807⨐⩸⫘⋰*⋻-565=⋰*⋻-562","layer":1},{"info":"⋰*⋻3⊝⪿⪼⋰*⋻-562=⋰*⋻8489","layer":0}]}
{"id":837,"expression_no_base_symbol":"($3229$≒∊$6225$)∴($1081$⊴$1397$)⩌⋺(($1106$∽$8580$)⋭≵$8204$↓$1173$)∑⇟⊟($6785$⋕⪉⪜$3649$+⪬∐($2365$⊲⩕⊾$6258$))⊢(($1760$⇼⇔∾$3430$)⨽⪊≇)","expression":"(⋰*⋻2476≒∊⋰*⋻474A)∴(⋰*⋻8A3⊴⋰*⋻1060)⩌⋺((⋰*⋻916∽⋰*⋻64A0)⋭≵⋰*⋻6189↓⋰*⋻977)∑⇟⊟(⋰*⋻5109⋕⪉⪜⋰*⋻2818+⪬∐(⋰*⋻1860⊲⩕⊾⋰*⋻477A))⊢((⋰*⋻1360⇼⇔∾⋰*⋻2639)⨽⪊≇)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":18289,"operation_count":14,"complexity_ratio":1306.357142857143,"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":3229,"base":11},"right_expr":{"type":"numeric_atoms","value":6225,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1081,"base":11},"right_expr":{"type":"numeric_atoms","value":1397,"base":11}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1106,"base":11},"right_expr":{"type":"numeric_atoms","value":8580,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":8204,"base":11},"right_expr":{"type":"numeric_atoms","value":1173,"base":11}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6785,"base":11},"right_expr":{"type":"numeric_atoms","value":3649,"base":11}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2365,"base":11},"right_expr":{"type":"numeric_atoms","value":6258,"base":11}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1760,"base":11},"right_expr":{"type":"numeric_atoms","value":3430,"base":11}}}}},"used_operators":["U7g4x0WXJJ","g7Hmc5v1ko","hrf7POJlIJ","5KTvxBwnZo","Nsiff2A1zJ","jBncVCNhdl","y4ImoPnbV5","Af076pWI7l","5twsqlHp2o","2GS7woTJqF","z6LnFrNh4i","DmTXOeWf9t","nlCqmYiOvY","tifHPKVTfV"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","dWAJyo7jo9","14qkJME0vr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3229","layer":4},{"info":"number node, value=6225","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=6225, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2745","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1397, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2745, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-3842","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=8580","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=8580, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-31092","layer":3},{"info":"number node, value=8204","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=8204, right_input=1173, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-31092, right_input=-134, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-3842, right_input=67, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=3654","layer":1},{"info":"number node, value=6785","layer":4},{"info":"number node, value=3649","layer":4},{"info":"compute binary expreesion, left_input=6785, right_input=3649, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=2365","layer":4},{"info":"number node, value=6258","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=6258, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-97050","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-97050, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8406","layer":2},{"info":"number node, value=1760","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=3430, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1670","layer":3},{"info":"compute unary expreesion, input=1670, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=2814","layer":2},{"info":"compute binary expreesion, left_input=-8406, right_input=2814, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=16568","layer":1},{"info":"compute binary expreesion, left_input=3654, right_input=16568, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2476≒∊⋰*⋻474A)∴(⋰*⋻8A3⊴⋰*⋻1060)⩌⋺((⋰*⋻916∽⋰*⋻64A0)⋭≵⋰*⋻6189↓⋰*⋻977)∑⇟⊟(⋰*⋻5109⋕⪉⪜⋰*⋻2818+⪬∐(⋰*⋻1860⊲⩕⊾⋰*⋻477A))⊢((⋰*⋻1360⇼⇔∾⋰*⋻2639)⨽⪊≇)=NaN","reverse_text":"NaN=(⋰*⋻2476≒∊⋰*⋻474A)∴(⋰*⋻8A3⊴⋰*⋻1060)⩌⋺((⋰*⋻916∽⋰*⋻64A0)⋭≵⋰*⋻6189↓⋰*⋻977)∑⇟⊟(⋰*⋻5109⋕⪉⪜⋰*⋻2818+⪬∐(⋰*⋻1860⊲⩕⊾⋰*⋻477A))⊢((⋰*⋻1360⇼⇔∾⋰*⋻2639)⨽⪊≇)","cot":[{"info":"⋰*⋻2476≒∊⋰*⋻474A=⋰*⋻-2076","layer":3},{"info":"⋰*⋻8A3⊴⋰*⋻1060=NaN","layer":3},{"info":"⋰*⋻-2076∴NaN=⋰*⋻-2983","layer":2},{"info":"⋰*⋻916∽⋰*⋻64A0=⋰*⋻-213A6","layer":3},{"info":"⋰*⋻6189↓⋰*⋻977=⋰*⋻-112","layer":3},{"info":"⋰*⋻-213A6⋭≵⋰*⋻-112=⋰*⋻61","layer":2},{"info":"⋰*⋻-2983⩌⋺⋰*⋻61=⋰*⋻2822","layer":1},{"info":"⋰*⋻5109⋕⪉⪜⋰*⋻2818=⋰*⋻2118","layer":3},{"info":"⋰*⋻1860⊲⩕⊾⋰*⋻477A=⋰*⋻-66A08","layer":3},{"info":"⋰*⋻2118+⪬∐⋰*⋻-66A08=⋰*⋻-6352","layer":2},{"info":"⋰*⋻1360⇼⇔∾⋰*⋻2639=⋰*⋻1289","layer":3},{"info":"⋰*⋻1289⨽⪊≇=⋰*⋻2129","layer":2},{"info":"⋰*⋻-6352⊢⋰*⋻2129=⋰*⋻114A2","layer":1},{"info":"⋰*⋻2822∑⇟⊟⋰*⋻114A2=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"⩦⊞($1838$∌$2264$↙$2897$⊲⩕⊾$2501$)∣($1932$⪛⫼$7311$)∴(↴⪽⋼$3605$)","expression":"⩦⊞(⋰*⋻1421∌⋰*⋻1779↙⋰*⋻21A4⊲⩕⊾⋰*⋻1974)∣(⋰*⋻14A7⪛⫼⋰*⋻5547)∴(↴⪽⋼⋰*⋻2788)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":159,"operation_count":8,"complexity_ratio":19.875,"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":1838,"base":11},"right_expr":{"type":"numeric_atoms","value":2264,"base":11}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2897,"base":11},"right_expr":{"type":"numeric_atoms","value":2501,"base":11}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1932,"base":11},"right_expr":{"type":"numeric_atoms","value":7311,"base":11}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3605,"base":11}}}}},"used_operators":["u7fv1HBiaC","PPChnnnBFF","yyfyN0ffXY","8cLx32lpNA","DmTXOeWf9t","hrf7POJlIJ","hyuBjUqXlG","5TUYCnJO6w"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"⋰*⋻-3498","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=2264, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2264","layer":3},{"info":"number node, value=2897","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=2897, right_input=2501, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-67992","layer":3},{"info":"compute binary expreesion, left_input=-2264, right_input=-67992, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2264","layer":2},{"info":"number node, value=1932","layer":4},{"info":"number node, value=7311","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=7311, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=3605","layer":4},{"info":"compute unary expreesion, input=3605, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3605","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=3605, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3584","layer":2},{"info":"compute binary expreesion, left_input=-2264, right_input=3584, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-2264","layer":1},{"info":"compute unary expreesion, input=-2264, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4584","layer":0}],"base":11,"result_base":11,"text":"⩦⊞(⋰*⋻1421∌⋰*⋻1779↙⋰*⋻21A4⊲⩕⊾⋰*⋻1974)∣(⋰*⋻14A7⪛⫼⋰*⋻5547)∴(↴⪽⋼⋰*⋻2788)=⋰*⋻-3498","reverse_text":"⋰*⋻-3498=⩦⊞(⋰*⋻1421∌⋰*⋻1779↙⋰*⋻21A4⊲⩕⊾⋰*⋻1974)∣(⋰*⋻14A7⪛⫼⋰*⋻5547)∴(↴⪽⋼⋰*⋻2788)","cot":[{"info":"⋰*⋻1421∌⋰*⋻1779=⋰*⋻-1779","layer":3},{"info":"⋰*⋻21A4⊲⩕⊾⋰*⋻1974=⋰*⋻-470A1","layer":3},{"info":"⋰*⋻-1779↙⋰*⋻-470A1=⋰*⋻-1779","layer":2},{"info":"⋰*⋻14A7⪛⫼⋰*⋻5547=⋰*⋻800","layer":3},{"info":"↴⪽⋼⋰*⋻2788=⋰*⋻2788","layer":3},{"info":"⋰*⋻800∴⋰*⋻2788=⋰*⋻2769","layer":2},{"info":"⋰*⋻-1779∣⋰*⋻2769=⋰*⋻-1779","layer":1},{"info":"⩦⊞⋰*⋻-1779=⋰*⋻-3498","layer":0}]}
{"id":839,"expression_no_base_symbol":"($1773$⫁$5584$⊭↱$4549$⪃⊛⇣$3426$)⇂≾⫗((≘$2248$)⇗⋫)⨿($2225$⩇∃⫛$1107$∑⇟⊟($4262$⫚↹⊑$3833$)+⇶⊼(($1089$⇽⩪)⇼⇔∾$6725$⊋$8328$))","expression":"(⋰*⋻1372⫁⋰*⋻4217⊭↱⋰*⋻3466⪃⊛⇣⋰*⋻2635)⇂≾⫗((≘⋰*⋻1764)⇗⋫)⨿(⋰*⋻1743⩇∃⫛⋰*⋻917∑⇟⊟(⋰*⋻3225⫚↹⊑⋰*⋻2975)+⇶⊼((⋰*⋻900⇽⩪)⇼⇔∾⋰*⋻5064⊋⋰*⋻6291))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":204566,"operation_count":14,"complexity_ratio":14611.857142857143,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1773,"base":11},"right_expr":{"type":"numeric_atoms","value":5584,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4549,"base":11},"right_expr":{"type":"numeric_atoms","value":3426,"base":11}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2248,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2225,"base":11},"right_expr":{"type":"numeric_atoms","value":1107,"base":11}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4262,"base":11},"right_expr":{"type":"numeric_atoms","value":3833,"base":11}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1089,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6725,"base":11},"right_expr":{"type":"numeric_atoms","value":8328,"base":11}}}}},"used_operators":["abYXlopdE0","aBQ6xLxuTc","COABgblf1C","0ajvFaJAv0","rrgAzCduG9","hpqmaQFPrd","tcjXMdvYtA","TpPTUOHfaN","U7g4x0WXJJ","1aApVXNlOP","dfKe02y8D2","tifHPKVTfV","FonBHBYJbU","W4tP9CfskL"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rxpJgHHUmx","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1773","layer":4},{"info":"number node, value=5584","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=5584, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4549","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=3426, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1234, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2153","layer":2},{"info":"number node, value=2248","layer":4},{"info":"compute unary expreesion, input=2248, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=4957624","layer":3},{"info":"compute unary expreesion, input=4957624, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2153, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"number node, value=2225","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=1107, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-645","layer":3},{"info":"number node, value=4262","layer":4},{"info":"number node, value=3833","layer":4},{"info":"compute binary expreesion, left_input=4262, right_input=3833, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-645, right_input=-447, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=2700","layer":3},{"info":"number node, value=6725","layer":4},{"info":"number node, value=8328","layer":4},{"info":"compute binary expreesion, left_input=6725, right_input=8328, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-103192720","layer":3},{"info":"compute binary expreesion, left_input=2700, right_input=-103192720, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-103195420","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-103195420, 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 = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1372⫁⋰*⋻4217⊭↱⋰*⋻3466⪃⊛⇣⋰*⋻2635)⇂≾⫗((≘⋰*⋻1764)⇗⋫)⨿(⋰*⋻1743⩇∃⫛⋰*⋻917∑⇟⊟(⋰*⋻3225⫚↹⊑⋰*⋻2975)+⇶⊼((⋰*⋻900⇽⩪)⇼⇔∾⋰*⋻5064⊋⋰*⋻6291))=⋰*⋻61","reverse_text":"⋰*⋻61=(⋰*⋻1372⫁⋰*⋻4217⊭↱⋰*⋻3466⪃⊛⇣⋰*⋻2635)⇂≾⫗((≘⋰*⋻1764)⇗⋫)⨿(⋰*⋻1743⩇∃⫛⋰*⋻917∑⇟⊟(⋰*⋻3225⫚↹⊑⋰*⋻2975)+⇶⊼((⋰*⋻900⇽⩪)⇼⇔∾⋰*⋻5064⊋⋰*⋻6291))","cot":[{"info":"⋰*⋻1372⫁⋰*⋻4217=⋰*⋻136","layer":3},{"info":"⋰*⋻3466⪃⊛⇣⋰*⋻2635=⋰*⋻A22","layer":3},{"info":"⋰*⋻136⊭↱⋰*⋻A22=⋰*⋻1688","layer":2},{"info":"≘⋰*⋻1764=⋰*⋻2886811","layer":3},{"info":"⋰*⋻2886811⇗⋫=NaN","layer":2},{"info":"⋰*⋻1688⇂≾⫗NaN=NaN","layer":1},{"info":"⋰*⋻1743⩇∃⫛⋰*⋻917=⋰*⋻-537","layer":3},{"info":"⋰*⋻3225⫚↹⊑⋰*⋻2975=⋰*⋻-377","layer":3},{"info":"⋰*⋻-537∑⇟⊟⋰*⋻-377=NaN","layer":2},{"info":"⋰*⋻900⇽⩪=⋰*⋻2035","layer":3},{"info":"⋰*⋻5064⊋⋰*⋻6291=⋰*⋻-53282244","layer":3},{"info":"⋰*⋻2035⇼⇔∾⋰*⋻-53282244=⋰*⋻-53284279","layer":2},{"info":"NaN+⇶⊼⋰*⋻-53284279=NaN","layer":1},{"info":"NaN⨿NaN=⋰*⋻61","layer":0}]}
{"id":840,"expression_no_base_symbol":"⨝⨆($1001$≌$5078$*$2364$≴⪞⇿$1145$)∥⊢⊲(⪡⇡≛($1564$⨔⇊$1600$))","expression":"⨝⨆(⋰*⋻830≌⋰*⋻38A7*⋰*⋻185A≴⪞⇿⋰*⋻951)∥⊢⊲(⪡⇡≛(⋰*⋻11A2⨔⇊⋰*⋻1225))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7372,"operation_count":7,"complexity_ratio":1053.142857142857,"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":1001,"base":11},"right_expr":{"type":"numeric_atoms","value":5078,"base":11}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2364,"base":11},"right_expr":{"type":"numeric_atoms","value":1145,"base":11}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1564,"base":11},"right_expr":{"type":"numeric_atoms","value":1600,"base":11}}}}},"used_operators":["bQ67fsrMVf","v1UQAVDJRr","9HNa5Wba9A","lyWz822IDG","lvlrscuwVU","qL4PrbW1Dq","JclMnS0uGI"],"dependent_operators":["tifHPKVTfV","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"⋰*⋻-13A5","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=5078","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=5078, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2364","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=1145, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=8744796","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8744796, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1564","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=1600, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1600","layer":3},{"info":"compute unary expreesion, input=1600, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1600","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1600, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-1600","layer":1},{"info":"compute unary expreesion, input=-1600, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-1809","layer":0}],"base":11,"result_base":11,"text":"⨝⨆(⋰*⋻830≌⋰*⋻38A7*⋰*⋻185A≴⪞⇿⋰*⋻951)∥⊢⊲(⪡⇡≛(⋰*⋻11A2⨔⇊⋰*⋻1225))=⋰*⋻-13A5","reverse_text":"⋰*⋻-13A5=⨝⨆(⋰*⋻830≌⋰*⋻38A7*⋰*⋻185A≴⪞⇿⋰*⋻951)∥⊢⊲(⪡⇡≛(⋰*⋻11A2⨔⇊⋰*⋻1225))","cot":[{"info":"⋰*⋻830≌⋰*⋻38A7=NaN","layer":3},{"info":"⋰*⋻185A≴⪞⇿⋰*⋻951=⋰*⋻4A33105","layer":3},{"info":"NaN*⋰*⋻4A33105=NaN","layer":2},{"info":"⋰*⋻11A2⨔⇊⋰*⋻1225=⋰*⋻1225","layer":3},{"info":"⪡⇡≛⋰*⋻1225=⋰*⋻-1225","layer":2},{"info":"NaN∥⊢⊲⋰*⋻-1225=⋰*⋻-1225","layer":1},{"info":"⨝⨆⋰*⋻-1225=⋰*⋻-13A5","layer":0}]}
{"id":841,"expression_no_base_symbol":"⊈(((⨣⨃⇪$2512$)⩏)⨱∎)","expression":"⊈(((⨣⨃⇪⋰*⋻1984)⩏)⨱∎)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":560,"operation_count":4,"complexity_ratio":140.0,"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":2512,"base":11}}}}},"used_operators":["RHru8klgy8","MmTdOpaElr","iA2gmKZ3Wj","AcOhelriW5"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","tifHPKVTfV","z6LnFrNh4i","Tcnh7f0tEr","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2512","layer":4},{"info":"compute unary expreesion, input=2512, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-174","layer":0}],"base":11,"result_base":11,"text":"⊈(((⨣⨃⇪⋰*⋻1984)⩏)⨱∎)=⋰*⋻-149","reverse_text":"⋰*⋻-149=⊈(((⨣⨃⇪⋰*⋻1984)⩏)⨱∎)","cot":[{"info":"⨣⨃⇪⋰*⋻1984=⋰*⋻1068","layer":3},{"info":"⋰*⋻1068⩏=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨱∎=⋰*⋻0","layer":1},{"info":"⊈⋰*⋻0=⋰*⋻-149","layer":0}]}
{"id":842,"expression_no_base_symbol":"(($6203$∙∹∝$4622$)⪛$1078$⩦$1343$∌↝($1270$⨂≜$1069$⋓(⨭⩧⫛$2305$)))⇍⊗((($1636$≝⊿$1804$)⩘⨬⇊)⨰($5942$↓$1796$∲⫓$1975$≦↸$2803$))","expression":"((⋰*⋻472A∙∹∝⋰*⋻3522)⪛⋰*⋻8A0⩦⋰*⋻1011∌↝(⋰*⋻A55⨂≜⋰*⋻892⋓(⨭⩧⫛⋰*⋻1806)))⇍⊗(((⋰*⋻1258≝⊿⋰*⋻13A0)⩘⨬⇊)⨰(⋰*⋻4512↓⋰*⋻1393∲⫓⋰*⋻1536≦↸⋰*⋻2119))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":35081,"operation_count":14,"complexity_ratio":2505.785714285714,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6203,"base":11},"right_expr":{"type":"numeric_atoms","value":4622,"base":11}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1078,"base":11},"right_expr":{"type":"numeric_atoms","value":1343,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1270,"base":11},"right_expr":{"type":"numeric_atoms","value":1069,"base":11}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2305,"base":11}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1636,"base":11},"right_expr":{"type":"numeric_atoms","value":1804,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":5942,"base":11},"right_expr":{"type":"numeric_atoms","value":1796,"base":11}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1975,"base":11},"right_expr":{"type":"numeric_atoms","value":2803,"base":11}}}}},"used_operators":["5uvYHDjeKN","9Isq31Ruls","uFcxV4UQCh","HmxsFra2vL","0kmYd0q39Y","T2fj7uvVaJ","k1SHOSEABc","g21JL6JxX7","eewbuw0ToL","XXmTpEpWTW","OKKcZfAt5B","i8ToyICDmI","Af076pWI7l","RygbFNSyEJ"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋰*⋻-202","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6203","layer":4},{"info":"number node, value=4622","layer":4},{"info":"compute binary expreesion, left_input=6203, right_input=4622, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1343, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2156","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2156, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=1270","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=1069, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2305","layer":4},{"info":"compute unary expreesion, input=2305, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=1636","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=1804, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5777","layer":3},{"info":"compute unary expreesion, input=-5777, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":2},{"info":"number node, value=5942","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=5942, right_input=1796, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1975","layer":4},{"info":"number node, value=2803","layer":4},{"info":"compute binary expreesion, left_input=1975, right_input=2803, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8875","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-8875, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-134, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=28","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=28, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻472A∙∹∝⋰*⋻3522)⪛⋰*⋻8A0⩦⋰*⋻1011∌↝(⋰*⋻A55⨂≜⋰*⋻892⋓(⨭⩧⫛⋰*⋻1806)))⇍⊗(((⋰*⋻1258≝⊿⋰*⋻13A0)⩘⨬⇊)⨰(⋰*⋻4512↓⋰*⋻1393∲⫓⋰*⋻1536≦↸⋰*⋻2119))=⋰*⋻-202","reverse_text":"⋰*⋻-202=((⋰*⋻472A∙∹∝⋰*⋻3522)⪛⋰*⋻8A0⩦⋰*⋻1011∌↝(⋰*⋻A55⨂≜⋰*⋻892⋓(⨭⩧⫛⋰*⋻1806)))⇍⊗(((⋰*⋻1258≝⊿⋰*⋻13A0)⩘⨬⇊)⨰(⋰*⋻4512↓⋰*⋻1393∲⫓⋰*⋻1536≦↸⋰*⋻2119))","cot":[{"info":"⋰*⋻472A∙∹∝⋰*⋻3522=⋰*⋻0","layer":3},{"info":"⋰*⋻8A0⩦⋰*⋻1011=⋰*⋻1690","layer":3},{"info":"⋰*⋻0⪛⋰*⋻1690=⋰*⋻0","layer":2},{"info":"⋰*⋻A55⨂≜⋰*⋻892=NaN","layer":3},{"info":"⨭⩧⫛⋰*⋻1806=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"⋰*⋻0∌↝NaN=⋰*⋻0","layer":1},{"info":"⋰*⋻1258≝⊿⋰*⋻13A0=⋰*⋻-4382","layer":3},{"info":"⋰*⋻-4382⩘⨬⇊=⋰*⋻-A6","layer":2},{"info":"⋰*⋻4512↓⋰*⋻1393=⋰*⋻-112","layer":3},{"info":"⋰*⋻1536≦↸⋰*⋻2119=⋰*⋻-6739","layer":3},{"info":"⋰*⋻-112∲⫓⋰*⋻-6739=⋰*⋻-112","layer":2},{"info":"⋰*⋻-A6⨰⋰*⋻-112=⋰*⋻26","layer":1},{"info":"⋰*⋻0⇍⊗⋰*⋻26=⋰*⋻-202","layer":0}]}
{"id":843,"expression_no_base_symbol":"(⪨⨬(⋎⨆(⨛$2203$)))↱(∐⩳⋚$5345$)⊬⨰$6990$⪃⊛⇣$2694$⊋($3919$⪨⊡$3193$)⩼⇪↪($5974$⨫⇇↔$1345$)","expression":"(⪨⨬(⋎⨆(⨛⋰*⋻1723)))↱(∐⩳⋚⋰*⋻401A)⊬⨰⋰*⋻5285⪃⊛⇣⋰*⋻202A⊋(⋰*⋻2A43⪨⊡⋰*⋻2443)⩼⇪↪(⋰*⋻4541⨫⇇↔⋰*⋻1013)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12480,"operation_count":11,"complexity_ratio":1134.5454545454545,"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":2203,"base":11}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":5345,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6990,"base":11},"right_expr":{"type":"numeric_atoms","value":2694,"base":11}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3919,"base":11},"right_expr":{"type":"numeric_atoms","value":3193,"base":11}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":5974,"base":11},"right_expr":{"type":"numeric_atoms","value":1345,"base":11}}}}},"used_operators":["SR5kFfdi6N","5obUd6DV38","E64sFOc4tB","CoMdbyAt7R","W4tP9CfskL","s3Fd5m9Dh2","SL6IHkK8vl","rrgAzCduG9","ocnLzx9CaJ","kuIXHzHcAH","LXhwmt4mBO"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","T2fj7uvVaJ","nlCqmYiOvY","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2203","layer":4},{"info":"compute unary expreesion, input=2203, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute unary expreesion, input=8320752, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"number node, value=5345","layer":4},{"info":"compute unary expreesion, input=5345, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=788712","layer":3},{"info":"number node, value=6990","layer":4},{"info":"number node, value=2694","layer":4},{"info":"compute binary expreesion, left_input=6990, right_input=2694, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=788712, right_input=1234, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=792592","layer":2},{"info":"number node, value=3919","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=3919, right_input=3193, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5974","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=5974, right_input=1345, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=2906","layer":2},{"info":"compute binary expreesion, left_input=792592, right_input=2906, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=inf, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪨⨬(⋎⨆(⨛⋰*⋻1723)))↱(∐⩳⋚⋰*⋻401A)⊬⨰⋰*⋻5285⪃⊛⇣⋰*⋻202A⊋(⋰*⋻2A43⪨⊡⋰*⋻2443)⩼⇪↪(⋰*⋻4541⨫⇇↔⋰*⋻1013)=NaN","reverse_text":"NaN=(⪨⨬(⋎⨆(⨛⋰*⋻1723)))↱(∐⩳⋚⋰*⋻401A)⊬⨰⋰*⋻5285⪃⊛⇣⋰*⋻202A⊋(⋰*⋻2A43⪨⊡⋰*⋻2443)⩼⇪↪(⋰*⋻4541⨫⇇↔⋰*⋻1013)","cot":[{"info":"⨛⋰*⋻1723=NaN","layer":3},{"info":"⋎⨆NaN=⋰*⋻4773560","layer":2},{"info":"⪨⨬⋰*⋻4773560=⋰*⋻-439","layer":1},{"info":"∐⩳⋚⋰*⋻401A=⋰*⋻499631","layer":3},{"info":"⋰*⋻5285⪃⊛⇣⋰*⋻202A=⋰*⋻A22","layer":3},{"info":"⋰*⋻499631⊬⨰⋰*⋻A22=⋰*⋻4A1539","layer":2},{"info":"⋰*⋻2A43⪨⊡⋰*⋻2443=⋰*⋻0","layer":3},{"info":"⋰*⋻4541⨫⇇↔⋰*⋻1013=⋰*⋻-43A","layer":3},{"info":"⋰*⋻0⩼⇪↪⋰*⋻-43A=⋰*⋻2202","layer":2},{"info":"⋰*⋻4A1539⊋⋰*⋻2202=Inf","layer":1},{"info":"⋰*⋻-439↱Inf=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"(⋼∭⪍($1707$≒∊$5225$)⋕⪉⪜($4347$⪒$1943$))≁(($1337$⫥∨⫟$2705$)∑⇟⊟($1980$⪁$1085$)+⇶⊼($4213$⩖⊿$6006$%(⨵$7583$)))","expression":"(⋼∭⪍(⋰*⋻1312≒∊⋰*⋻3A20)⋕⪉⪜(⋰*⋻32A2⪒⋰*⋻1507))≁((⋰*⋻1006⫥∨⫟⋰*⋻203A)∑⇟⊟(⋰*⋻1540⪁⋰*⋻8A7)+⇶⊼(⋰*⋻3190⩖⊿⋰*⋻4570%(⨵⋰*⋻5774)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15174406,"operation_count":12,"complexity_ratio":1264533.8333333333,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1707,"base":11},"right_expr":{"type":"numeric_atoms","value":5225,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4347,"base":11},"right_expr":{"type":"numeric_atoms","value":1943,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1337,"base":11},"right_expr":{"type":"numeric_atoms","value":2705,"base":11}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1980,"base":11},"right_expr":{"type":"numeric_atoms","value":1085,"base":11}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4213,"base":11},"right_expr":{"type":"numeric_atoms","value":6006,"base":11}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":7583,"base":11}}}}},"used_operators":["8N2wDY1A35","DbCuESL50I","z6LnFrNh4i","5KTvxBwnZo","f6k1SAg4EE","TpPTUOHfaN","U7g4x0WXJJ","KYD54nUTWz","I7sXao9hZE","k8jYdgA6NY","RZ5CV9rWsJ","Tl3Y52tvF8"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1707","layer":4},{"info":"number node, value=5225","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=5225, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1223","layer":3},{"info":"number node, value=4347","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=1943, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6290","layer":3},{"info":"compute binary expreesion, left_input=-1223, right_input=-6290, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute unary expreesion, input=2802, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-9468","layer":1},{"info":"number node, value=1337","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=2705, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1980","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=1085, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢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=4213","layer":4},{"info":"number node, value=6006","layer":4},{"info":"compute binary expreesion, left_input=4213, right_input=6006, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=31114","layer":3},{"info":"number node, value=7583","layer":4},{"info":"compute unary expreesion, input=7583, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-61873","layer":3},{"info":"compute binary expreesion, left_input=31114, right_input=-61873, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-30759","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-30759, 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=-9468, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋼∭⪍(⋰*⋻1312≒∊⋰*⋻3A20)⋕⪉⪜(⋰*⋻32A2⪒⋰*⋻1507))≁((⋰*⋻1006⫥∨⫟⋰*⋻203A)∑⇟⊟(⋰*⋻1540⪁⋰*⋻8A7)+⇶⊼(⋰*⋻3190⩖⊿⋰*⋻4570%(⨵⋰*⋻5774)))=NaN","reverse_text":"NaN=(⋼∭⪍(⋰*⋻1312≒∊⋰*⋻3A20)⋕⪉⪜(⋰*⋻32A2⪒⋰*⋻1507))≁((⋰*⋻1006⫥∨⫟⋰*⋻203A)∑⇟⊟(⋰*⋻1540⪁⋰*⋻8A7)+⇶⊼(⋰*⋻3190⩖⊿⋰*⋻4570%(⨵⋰*⋻5774)))","cot":[{"info":"⋰*⋻1312≒∊⋰*⋻3A20=⋰*⋻-A12","layer":3},{"info":"⋰*⋻32A2⪒⋰*⋻1507=⋰*⋻-47A9","layer":3},{"info":"⋰*⋻-A12⋕⪉⪜⋰*⋻-47A9=⋰*⋻2118","layer":2},{"info":"⋼∭⪍⋰*⋻2118=⋰*⋻-7128","layer":1},{"info":"⋰*⋻1006⫥∨⫟⋰*⋻203A=NaN","layer":3},{"info":"⋰*⋻1540⪁⋰*⋻8A7=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"⋰*⋻3190⩖⊿⋰*⋻4570=⋰*⋻21416","layer":3},{"info":"⨵⋰*⋻5774=⋰*⋻-42539","layer":3},{"info":"⋰*⋻21416%⋰*⋻-42539=⋰*⋻-21123","layer":2},{"info":"NaN+⇶⊼⋰*⋻-21123=NaN","layer":1},{"info":"⋰*⋻-7128≁NaN=NaN","layer":0}]}
{"id":845,"expression_no_base_symbol":"((⇙⪊$2877$)⊋($5196$⪨⊡$4781$)≑≱⪘)↸(($3668$⋓$1078$)⫁($1756$⊨$2045$)⩨$3892$↞⋁$2769$⊋($3224$⨘))","expression":"((⇙⪊⋰*⋻2186)⊋(⋰*⋻39A4⪨⊡⋰*⋻3657)≑≱⪘)↸((⋰*⋻2835⋓⋰*⋻8A0)⫁(⋰*⋻1357⊨⋰*⋻159A)⩨⋰*⋻2A19↞⋁⋰*⋻2098⊋(⋰*⋻2471⨘))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15626,"operation_count":12,"complexity_ratio":1302.1666666666667,"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":2877,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5196,"base":11},"right_expr":{"type":"numeric_atoms","value":4781,"base":11}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3668,"base":11},"right_expr":{"type":"numeric_atoms","value":1078,"base":11}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1756,"base":11},"right_expr":{"type":"numeric_atoms","value":2045,"base":11}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3892,"base":11},"right_expr":{"type":"numeric_atoms","value":2769,"base":11}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":3224,"base":11}}}}},"used_operators":["1eCjFl0mb9","tGSeddj7UK","W4tP9CfskL","pB6Fcnrjim","kuIXHzHcAH","2DlMacCsIx","0ajvFaJAv0","T2fj7uvVaJ","vg4gO5BX6G","RqrPlJkxDo","ljcfZBUpm8"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ"],"result":"⋰*⋻A4503","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2877","layer":4},{"info":"compute unary expreesion, input=2877, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=5196","layer":4},{"info":"number node, value=4781","layer":4},{"info":"compute binary expreesion, left_input=5196, right_input=4781, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":2},{"info":"compute unary expreesion, input=-5454, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=152342","layer":1},{"info":"number node, value=3668","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=3668, right_input=1078, 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=1756","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=2045, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8055","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8055, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=3892","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=3892, right_input=2769, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3224","layer":4},{"info":"compute unary expreesion, input=3224, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-23343","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-23343, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-472314","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-472314, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=8856","layer":1},{"info":"compute binary expreesion, left_input=152342, right_input=8856, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=152342","layer":0}],"base":11,"result_base":11,"text":"((⇙⪊⋰*⋻2186)⊋(⋰*⋻39A4⪨⊡⋰*⋻3657)≑≱⪘)↸((⋰*⋻2835⋓⋰*⋻8A0)⫁(⋰*⋻1357⊨⋰*⋻159A)⩨⋰*⋻2A19↞⋁⋰*⋻2098⊋(⋰*⋻2471⨘))=⋰*⋻A4503","reverse_text":"⋰*⋻A4503=((⇙⪊⋰*⋻2186)⊋(⋰*⋻39A4⪨⊡⋰*⋻3657)≑≱⪘)↸((⋰*⋻2835⋓⋰*⋻8A0)⫁(⋰*⋻1357⊨⋰*⋻159A)⩨⋰*⋻2A19↞⋁⋰*⋻2098⊋(⋰*⋻2471⨘))","cot":[{"info":"⇙⪊⋰*⋻2186=⋰*⋻0","layer":3},{"info":"⋰*⋻39A4⪨⊡⋰*⋻3657=⋰*⋻0","layer":3},{"info":"⋰*⋻0⊋⋰*⋻0=⋰*⋻-4109","layer":2},{"info":"⋰*⋻-4109≑≱⪘=⋰*⋻A4503","layer":1},{"info":"⋰*⋻2835⋓⋰*⋻8A0=⋰*⋻0","layer":3},{"info":"⋰*⋻1357⊨⋰*⋻159A=⋰*⋻6063","layer":3},{"info":"⋰*⋻0⫁⋰*⋻6063=⋰*⋻136","layer":2},{"info":"⋰*⋻2A19↞⋁⋰*⋻2098=NaN","layer":3},{"info":"⋰*⋻2471⨘=⋰*⋻-165A1","layer":3},{"info":"NaN⊋⋰*⋻-165A1=⋰*⋻-2A2947","layer":2},{"info":"⋰*⋻136⩨⋰*⋻-2A2947=⋰*⋻6721","layer":1},{"info":"⋰*⋻A4503↸⋰*⋻6721=⋰*⋻A4503","layer":0}]}
{"id":846,"expression_no_base_symbol":"($1644$⩍⋽⫝̸$2454$⇮⋭$1514$⋝⋈⪟$1682$)⪡(⊆⋠$3493$)⪔⊥($1933$⩚⊴⇥$2023$)⨒(($4023$↸$1939$)⨎⋸⪻)⩣⫁∢($3538$⋝⋈⪟$6387$)⪟⇏($1146$⫉⨲⊜$2049$)","expression":"(⋰*⋻1265⩍⋽⫝̸⋰*⋻1931⇮⋭⋰*⋻1157⋝⋈⪟⋰*⋻129A)⪡(⊆⋠⋰*⋻2696)⪔⊥(⋰*⋻14A8⩚⊴⇥⋰*⋻157A)⨒((⋰*⋻3028↸⋰*⋻1503)⨎⋸⪻)⩣⫁∢(⋰*⋻2727⋝⋈⪟⋰*⋻4887)⪟⇏(⋰*⋻952⫉⨲⊜⋰*⋻15A3)","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2162,"operation_count":14,"complexity_ratio":154.42857142857142,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1644,"base":11},"right_expr":{"type":"numeric_atoms","value":2454,"base":11}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1514,"base":11},"right_expr":{"type":"numeric_atoms","value":1682,"base":11}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3493,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1933,"base":11},"right_expr":{"type":"numeric_atoms","value":2023,"base":11}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4023,"base":11},"right_expr":{"type":"numeric_atoms","value":1939,"base":11}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3538,"base":11},"right_expr":{"type":"numeric_atoms","value":6387,"base":11}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1146,"base":11},"right_expr":{"type":"numeric_atoms","value":2049,"base":11}}}}},"used_operators":["y75s1iXyHd","oraRL2iQuh","vkpjKywKVM","BiWNJpBvwn","2DDjHMKMc0","HJ9erzHUuu","EBhcHTkKd8","NTOWxs364D","JDUIKTTSIa","Dk5vyLCiGd","1eCjFl0mb9","GODebY97qR","WhqkvtTD3t"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","IWmyXbctLI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eewbuw0ToL","zVYPLywUTj"],"result":"⋰*⋻1","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1644","layer":4},{"info":"number node, value=2454","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=2454, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1508","layer":3},{"info":"number node, value=1514","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=1682, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1514","layer":3},{"info":"compute binary expreesion, left_input=1508, right_input=1514, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"number node, value=3493","layer":4},{"info":"compute unary expreesion, input=3493, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=1933","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=2023, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4077","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4077, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=799","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=799, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1914","layer":1},{"info":"number node, value=4023","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=4023, right_input=1939, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4023","layer":3},{"info":"compute unary expreesion, input=4023, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=8362","layer":2},{"info":"number node, value=3538","layer":4},{"info":"number node, value=6387","layer":4},{"info":"compute binary expreesion, left_input=3538, right_input=6387, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3538","layer":3},{"info":"number node, value=1146","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=2049, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3538, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=8362, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-16563","layer":1},{"info":"compute binary expreesion, left_input=1914, right_input=-16563, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1265⩍⋽⫝̸⋰*⋻1931⇮⋭⋰*⋻1157⋝⋈⪟⋰*⋻129A)⪡(⊆⋠⋰*⋻2696)⪔⊥(⋰*⋻14A8⩚⊴⇥⋰*⋻157A)⨒((⋰*⋻3028↸⋰*⋻1503)⨎⋸⪻)⩣⫁∢(⋰*⋻2727⋝⋈⪟⋰*⋻4887)⪟⇏(⋰*⋻952⫉⨲⊜⋰*⋻15A3)=⋰*⋻1","reverse_text":"⋰*⋻1=(⋰*⋻1265⩍⋽⫝̸⋰*⋻1931⇮⋭⋰*⋻1157⋝⋈⪟⋰*⋻129A)⪡(⊆⋠⋰*⋻2696)⪔⊥(⋰*⋻14A8⩚⊴⇥⋰*⋻157A)⨒((⋰*⋻3028↸⋰*⋻1503)⨎⋸⪻)⩣⫁∢(⋰*⋻2727⋝⋈⪟⋰*⋻4887)⪟⇏(⋰*⋻952⫉⨲⊜⋰*⋻15A3)","cot":[{"info":"⋰*⋻1265⩍⋽⫝̸⋰*⋻1931=⋰*⋻1151","layer":3},{"info":"⋰*⋻1157⋝⋈⪟⋰*⋻129A=⋰*⋻1157","layer":3},{"info":"⋰*⋻1151⇮⋭⋰*⋻1157=⋰*⋻-3A0","layer":2},{"info":"⊆⋠⋰*⋻2696=⋰*⋻0","layer":3},{"info":"⋰*⋻14A8⩚⊴⇥⋰*⋻157A=⋰*⋻-3077","layer":3},{"info":"⋰*⋻0⪔⊥⋰*⋻-3077=⋰*⋻667","layer":2},{"info":"⋰*⋻-3A0⪡⋰*⋻667=⋰*⋻1490","layer":1},{"info":"⋰*⋻3028↸⋰*⋻1503=⋰*⋻3028","layer":3},{"info":"⋰*⋻3028⨎⋸⪻=⋰*⋻6312","layer":2},{"info":"⋰*⋻2727⋝⋈⪟⋰*⋻4887=⋰*⋻2727","layer":3},{"info":"⋰*⋻952⫉⨲⊜⋰*⋻15A3=⋰*⋻0","layer":3},{"info":"⋰*⋻2727⪟⇏⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻6312⩣⫁∢⋰*⋻0=⋰*⋻-11498","layer":1},{"info":"⋰*⋻1490⨒⋰*⋻-11498=⋰*⋻1","layer":0}]}
{"id":847,"expression_no_base_symbol":"(((↑$3914$)⨽$2949$∀⇚≩$5470$)⩺⪪($1612$⨎$1734$)⇴∐($6780$⪐))⋣⋖($6485$↓$1936$)⪟⇏($1328$∼$3581$)⨚($2599$⪔$1022$*(⇙⪊$1308$))","expression":"(((↑⋰*⋻2A39)⨽⋰*⋻2241∀⇚≩⋰*⋻4123)⩺⪪(⋰*⋻1236⨎⋰*⋻1337)⇴∐(⋰*⋻5104⪐))⋣⋖(⋰*⋻4966↓⋰*⋻1500)⪟⇏(⋰*⋻AA8∼⋰*⋻2766)⨚(⋰*⋻1A53⪔⋰*⋻84A*(⇙⪊⋰*⋻A8A))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":49641,"operation_count":15,"complexity_ratio":3309.4,"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":3914,"base":11}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2949,"base":11},"right_expr":{"type":"numeric_atoms","value":5470,"base":11}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1612,"base":11},"right_expr":{"type":"numeric_atoms","value":1734,"base":11}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6780,"base":11}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6485,"base":11},"right_expr":{"type":"numeric_atoms","value":1936,"base":11}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1328,"base":11},"right_expr":{"type":"numeric_atoms","value":3581,"base":11}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2599,"base":11},"right_expr":{"type":"numeric_atoms","value":1022,"base":11}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1308,"base":11}}}}},"used_operators":["J0M6qkBnIM","uvdQJvN4PV","8HhzD0ZcuI","tR7O2zTn5j","LRNGc0VcxI","HnzytWxmAO","rJVOvQCfKK","eH2TOUuTDT","nREPSIbpBE","GODebY97qR","Af076pWI7l","DyGG3AbaNP","9HNa5Wba9A","GjBEYRfMaF","pB6Fcnrjim"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","X99M06cbEe","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3914","layer":4},{"info":"compute unary expreesion, input=3914, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=2949","layer":4},{"info":"number node, value=5470","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=5470, 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=192, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1612","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=1734, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1734","layer":3},{"info":"number node, value=6780","layer":4},{"info":"compute unary expreesion, input=6780, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13560","layer":3},{"info":"compute binary expreesion, left_input=1734, right_input=13560, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=6485","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=6485, right_input=1936, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1328","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=3581, 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=-134, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=2599","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=1022, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1308","layer":4},{"info":"compute unary expreesion, input=1308, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=934","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=934, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((↑⋰*⋻2A39)⨽⋰*⋻2241∀⇚≩⋰*⋻4123)⩺⪪(⋰*⋻1236⨎⋰*⋻1337)⇴∐(⋰*⋻5104⪐))⋣⋖(⋰*⋻4966↓⋰*⋻1500)⪟⇏(⋰*⋻AA8∼⋰*⋻2766)⨚(⋰*⋻1A53⪔⋰*⋻84A*(⇙⪊⋰*⋻A8A))=NaN","reverse_text":"NaN=(((↑⋰*⋻2A39)⨽⋰*⋻2241∀⇚≩⋰*⋻4123)⩺⪪(⋰*⋻1236⨎⋰*⋻1337)⇴∐(⋰*⋻5104⪐))⋣⋖(⋰*⋻4966↓⋰*⋻1500)⪟⇏(⋰*⋻AA8∼⋰*⋻2766)⨚(⋰*⋻1A53⪔⋰*⋻84A*(⇙⪊⋰*⋻A8A))","cot":[{"info":"↑⋰*⋻2A39=⋰*⋻165","layer":3},{"info":"⋰*⋻2241∀⇚≩⋰*⋻4123=NaN","layer":3},{"info":"⋰*⋻165⨽NaN=NaN","layer":2},{"info":"⋰*⋻1236⨎⋰*⋻1337=⋰*⋻1337","layer":3},{"info":"⋰*⋻5104⪐=⋰*⋻A208","layer":3},{"info":"⋰*⋻1337⇴∐⋰*⋻A208=NaN","layer":2},{"info":"NaN⩺⪪NaN=NaN","layer":1},{"info":"⋰*⋻4966↓⋰*⋻1500=⋰*⋻-112","layer":3},{"info":"⋰*⋻AA8∼⋰*⋻2766=NaN","layer":3},{"info":"⋰*⋻-112⪟⇏NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻1A53⪔⋰*⋻84A=⋰*⋻37A","layer":3},{"info":"⇙⪊⋰*⋻A8A=⋰*⋻0","layer":3},{"info":"⋰*⋻37A*⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨚⋰*⋻0=⋰*⋻77A","layer":1},{"info":"NaN⋣⋖⋰*⋻77A=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"($1629$⇷$1592$+⇶⊼$6021$⨪↰⇹$2519$≋⫹)⋻⩜⩜(($4164$⪗)↼⊘⨖($4909$⫦⪉$3054$)≬⋮($1050$⇮⋭$3578$)⇷(+⊝⨔$3292$))","expression":"(⋰*⋻1251⇷⋰*⋻1218+⇶⊼⋰*⋻4584⨪↰⇹⋰*⋻1990≋⫹)⋻⩜⩜((⋰*⋻3146⪗)↼⊘⨖(⋰*⋻3763⫦⪉⋰*⋻2327)≬⋮(⋰*⋻875⇮⋭⋰*⋻2763)⇷(+⊝⨔⋰*⋻2523))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":51916,"operation_count":12,"complexity_ratio":4326.333333333333,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1629,"base":11},"right_expr":{"type":"numeric_atoms","value":1592,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6021,"base":11},"right_expr":{"type":"numeric_atoms","value":2519,"base":11}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":4164,"base":11}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4909,"base":11},"right_expr":{"type":"numeric_atoms","value":3054,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1050,"base":11},"right_expr":{"type":"numeric_atoms","value":3578,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3292,"base":11}}}}},"used_operators":["oDCm7WA9JY","N41Kp7NANJ","TpPTUOHfaN","mp7IySMOzn","tmPS8pqC7x","kbkesczE7y","bPywburJMS","VEQNXA0ZBg","wscyQdcy20","vkpjKywKVM","DhbWaqg5eL"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1629","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=1592, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3184","layer":3},{"info":"number node, value=6021","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=6021, right_input=2519, 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=6021","layer":3},{"info":"compute binary expreesion, left_input=3184, right_input=6021, 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=4164","layer":4},{"info":"compute unary expreesion, input=4164, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=4909","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=4909, right_input=3054, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4918","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4918, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-10058","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=3578, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3292","layer":4},{"info":"compute unary expreesion, input=3292, 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=-473, right_input=1522, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3044","layer":2},{"info":"compute binary expreesion, left_input=-10058, right_input=3044, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1251⇷⋰*⋻1218+⇶⊼⋰*⋻4584⨪↰⇹⋰*⋻1990≋⫹)⋻⩜⩜((⋰*⋻3146⪗)↼⊘⨖(⋰*⋻3763⫦⪉⋰*⋻2327)≬⋮(⋰*⋻875⇮⋭⋰*⋻2763)⇷(+⊝⨔⋰*⋻2523))=NaN","reverse_text":"NaN=(⋰*⋻1251⇷⋰*⋻1218+⇶⊼⋰*⋻4584⨪↰⇹⋰*⋻1990≋⫹)⋻⩜⩜((⋰*⋻3146⪗)↼⊘⨖(⋰*⋻3763⫦⪉⋰*⋻2327)≬⋮(⋰*⋻875⇮⋭⋰*⋻2763)⇷(+⊝⨔⋰*⋻2523))","cot":[{"info":"⋰*⋻1251⇷⋰*⋻1218=⋰*⋻2435","layer":3},{"info":"⋰*⋻4584⨪↰⇹⋰*⋻1990=⋰*⋻4584","layer":3},{"info":"⋰*⋻2435+⇶⊼⋰*⋻4584=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⋰*⋻3146⪗=NaN","layer":3},{"info":"⋰*⋻3763⫦⪉⋰*⋻2327=⋰*⋻-3771","layer":3},{"info":"NaN↼⊘⨖⋰*⋻-3771=⋰*⋻-7614","layer":2},{"info":"⋰*⋻875⇮⋭⋰*⋻2763=⋰*⋻-3A0","layer":3},{"info":"+⊝⨔⋰*⋻2523=⋰*⋻1164","layer":3},{"info":"⋰*⋻-3A0⇷⋰*⋻1164=⋰*⋻2318","layer":2},{"info":"⋰*⋻-7614≬⋮⋰*⋻2318=⋰*⋻71A","layer":1},{"info":"NaN⋻⩜⩜⋰*⋻71A=NaN","layer":0}]}
{"id":849,"expression_no_base_symbol":"(⊬↢($2834$⨒$4583$)⨜⨶($1639$⩭))⫸⇳(($2987$∈)⫢⨠($1088$∀⊥⇻))⪚($6316$⨑≵⋬$1151$)⨑⩅≇($4574$⨽$7159$)","expression":"(⊬↢(⋰*⋻2147⨒⋰*⋻3497)⨜⨶(⋰*⋻1260⩭))⫸⇳((⋰*⋻2276∈)⫢⨠(⋰*⋻8AA∀⊥⇻))⪚(⋰*⋻4822⨑≵⋬⋰*⋻957)⨑⩅≇(⋰*⋻3489⨽⋰*⋻5419)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62818346,"operation_count":12,"complexity_ratio":5234862.166666667,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2834,"base":11},"right_expr":{"type":"numeric_atoms","value":4583,"base":11}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1639,"base":11}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":2987,"base":11}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1088,"base":11}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6316,"base":11},"right_expr":{"type":"numeric_atoms","value":1151,"base":11}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4574,"base":11},"right_expr":{"type":"numeric_atoms","value":7159,"base":11}}}}},"used_operators":["gx7XJ7hdpj","WPoGxAaPR1","HiPekx5b7W","y75s1iXyHd","yIPP7u6H5x","HrjLwUk87U","xlXykHWxX1","ztP7wcbY7m","k4iM1060OG","h92wMvzauj","XnXgA4xnOs","8HhzD0ZcuI"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2834","layer":4},{"info":"number node, value=4583","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=4583, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-16632","layer":3},{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16632, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":1},{"info":"number node, value=2987","layer":4},{"info":"compute unary expreesion, input=2987, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=8290","layer":3},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8290, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=6316","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=6316, right_input=1151, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=24902","layer":3},{"info":"number node, value=4574","layer":4},{"info":"number node, value=7159","layer":4},{"info":"compute binary expreesion, left_input=4574, right_input=7159, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-62784591","layer":3},{"info":"compute binary expreesion, left_input=24902, right_input=-62784591, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-74706","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-74706, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊬↢(⋰*⋻2147⨒⋰*⋻3497)⨜⨶(⋰*⋻1260⩭))⫸⇳((⋰*⋻2276∈)⫢⨠(⋰*⋻8AA∀⊥⇻))⪚(⋰*⋻4822⨑≵⋬⋰*⋻957)⨑⩅≇(⋰*⋻3489⨽⋰*⋻5419)=NaN","reverse_text":"NaN=(⊬↢(⋰*⋻2147⨒⋰*⋻3497)⨜⨶(⋰*⋻1260⩭))⫸⇳((⋰*⋻2276∈)⫢⨠(⋰*⋻8AA∀⊥⇻))⪚(⋰*⋻4822⨑≵⋬⋰*⋻957)⨑⩅≇(⋰*⋻3489⨽⋰*⋻5419)","cot":[{"info":"⋰*⋻2147⨒⋰*⋻3497=⋰*⋻-11550","layer":3},{"info":"⋰*⋻1260⩭=NaN","layer":3},{"info":"⋰*⋻-11550⨜⨶NaN=NaN","layer":2},{"info":"⊬↢NaN=NaN","layer":1},{"info":"⋰*⋻2276∈=⋰*⋻6257","layer":3},{"info":"⋰*⋻8AA∀⊥⇻=⋰*⋻0","layer":3},{"info":"⋰*⋻6257⫢⨠⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻4822⨑≵⋬⋰*⋻957=⋰*⋻17789","layer":3},{"info":"⋰*⋻3489⨽⋰*⋻5419=⋰*⋻-32492AA1","layer":3},{"info":"⋰*⋻17789⨑⩅≇⋰*⋻-32492AA1=⋰*⋻-51145","layer":2},{"info":"NaN⪚⋰*⋻-51145=NaN","layer":1},{"info":"NaN⫸⇳NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"(((⇜⊴$4761$)⊀⩕)⩇∃⫛(($2478$⋳⪒$5771$)+⇶⊼$2501$∺≝⩲$1282$))⫉⨲⊜(($3656$↞⋁$2660$⨵⪆$2440$≌$3291$)⫌⩉⩟($1415$⩟)≧⫂∧($2215$⩁))","expression":"(((⇜⊴⋰*⋻3639)⊀⩕)⩇∃⫛((⋰*⋻1953⋳⪒⋰*⋻4377)+⇶⊼⋰*⋻1974∺≝⩲⋰*⋻A66))⫉⨲⊜((⋰*⋻2824↞⋁⋰*⋻1AA9⨵⪆⋰*⋻1919≌⋰*⋻2522)⫌⩉⩟(⋰*⋻1077⩟)≧⫂∧(⋰*⋻1734⩁))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":22142,"operation_count":14,"complexity_ratio":1581.5714285714287,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4761,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2478,"base":11},"right_expr":{"type":"numeric_atoms","value":5771,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2501,"base":11},"right_expr":{"type":"numeric_atoms","value":1282,"base":11}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3656,"base":11},"right_expr":{"type":"numeric_atoms","value":2660,"base":11}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2440,"base":11},"right_expr":{"type":"numeric_atoms","value":3291,"base":11}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1415,"base":11}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":2215,"base":11}}}}},"used_operators":["WhqkvtTD3t","1aApVXNlOP","r0FS3hW4cC","XwDhCwWbUn","TpPTUOHfaN","12rbrZMWeM","KPf6cnQVty","XIIwhv8d0m","2DQ55sFlQl","RqrPlJkxDo","lyWz822IDG","Ph9nP6C5qx","fOIeswaMU4","5GqDbVmqXU"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rGHVDoGpnC","nhYeJWJD5X","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA"],"result":"⋰*⋻-136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4761","layer":4},{"info":"compute unary expreesion, input=4761, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1109882","layer":3},{"info":"compute unary expreesion, input=-1109882, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"number node, value=2478","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=5771, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1102","layer":3},{"info":"number node, value=2501","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=1282, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1102, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"number node, value=3656","layer":4},{"info":"number node, value=2660","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=2660, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2440","layer":4},{"info":"number node, value=3291","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=3291, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-11508","layer":3},{"info":"number node, value=2215","layer":4},{"info":"compute unary expreesion, input=2215, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-14940","layer":3},{"info":"compute binary expreesion, left_input=-11508, right_input=-14940, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3432","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=3432, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-160","layer":0}],"base":11,"result_base":11,"text":"(((⇜⊴⋰*⋻3639)⊀⩕)⩇∃⫛((⋰*⋻1953⋳⪒⋰*⋻4377)+⇶⊼⋰*⋻1974∺≝⩲⋰*⋻A66))⫉⨲⊜((⋰*⋻2824↞⋁⋰*⋻1AA9⨵⪆⋰*⋻1919≌⋰*⋻2522)⫌⩉⩟(⋰*⋻1077⩟)≧⫂∧(⋰*⋻1734⩁))=⋰*⋻-136","reverse_text":"⋰*⋻-136=(((⇜⊴⋰*⋻3639)⊀⩕)⩇∃⫛((⋰*⋻1953⋳⪒⋰*⋻4377)+⇶⊼⋰*⋻1974∺≝⩲⋰*⋻A66))⫉⨲⊜((⋰*⋻2824↞⋁⋰*⋻1AA9⨵⪆⋰*⋻1919≌⋰*⋻2522)⫌⩉⩟(⋰*⋻1077⩟)≧⫂∧(⋰*⋻1734⩁))","cot":[{"info":"⇜⊴⋰*⋻3639=⋰*⋻-698964","layer":3},{"info":"⋰*⋻-698964⊀⩕=⋰*⋻0","layer":2},{"info":"⋰*⋻1953⋳⪒⋰*⋻4377=⋰*⋻-912","layer":3},{"info":"⋰*⋻1974∺≝⩲⋰*⋻A66=⋰*⋻136","layer":3},{"info":"⋰*⋻-912+⇶⊼⋰*⋻136=NaN","layer":2},{"info":"⋰*⋻0⩇∃⫛NaN=NaN","layer":1},{"info":"⋰*⋻2824↞⋁⋰*⋻1AA9=NaN","layer":3},{"info":"⋰*⋻1919≌⋰*⋻2522=NaN","layer":3},{"info":"NaN⨵⪆NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻1077⩟=⋰*⋻-8712","layer":3},{"info":"⋰*⋻1734⩁=⋰*⋻-10252","layer":3},{"info":"⋰*⋻-8712≧⫂∧⋰*⋻-10252=⋰*⋻2640","layer":2},{"info":"⋰*⋻136⫌⩉⩟⋰*⋻2640=⋰*⋻-46","layer":1},{"info":"NaN⫉⨲⊜⋰*⋻-46=⋰*⋻-136","layer":0}]}
{"id":851,"expression_no_base_symbol":"(($5012$⨸$1215$)⪟⇏($1109$≬⋮$4959$)⪒⊣⊆(($2956$⋳⪒$1085$)⨘))⇤(($4002$⪮%⊝$2385$⨽(⋃$1217$))⨔≚≋(⪛⨧($3255$⋅⇍$1318$)))","expression":"((⋰*⋻3847⨸⋰*⋻A05)⪟⇏(⋰*⋻919≬⋮⋰*⋻37A9)⪒⊣⊆((⋰*⋻2248⋳⪒⋰*⋻8A7)⨘))⇤((⋰*⋻3009⪮%⊝⋰*⋻1879⨽(⋃⋰*⋻A07))⨔≚≋(⪛⨧(⋰*⋻249A⋅⇍⋰*⋻A99)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18138,"operation_count":13,"complexity_ratio":1395.2307692307693,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5012,"base":11},"right_expr":{"type":"numeric_atoms","value":1215,"base":11}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1109,"base":11},"right_expr":{"type":"numeric_atoms","value":4959,"base":11}}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2956,"base":11},"right_expr":{"type":"numeric_atoms","value":1085,"base":11}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4002,"base":11},"right_expr":{"type":"numeric_atoms","value":2385,"base":11}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1217,"base":11}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3255,"base":11},"right_expr":{"type":"numeric_atoms","value":1318,"base":11}}}}},"used_operators":["YSKBFp38Pu","eRqsBgTDFp","GODebY97qR","KmoU8R5UQR","kbkesczE7y","ljcfZBUpm8","12rbrZMWeM","Z57zeUYC9z","8HhzD0ZcuI","IWmyXbctLI","3mBM5G4a3l","6NJAcO2OWT","AdZkA7nFnk"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","rysDP5nf3Z","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","g55IO6H4Gj","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"-Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5012","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=5012, right_input=1215, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10024","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=4959","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=4959, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=10024, right_input=868, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"number node, value=2956","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=1085, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4540","layer":3},{"info":"compute unary expreesion, input=4540, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-32555","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-32555, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=-65006","layer":1},{"info":"number node, value=4002","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=4002, right_input=2385, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8320","layer":3},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2536","layer":3},{"info":"compute binary expreesion, left_input=8320, right_input=2536, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-207673494","layer":2},{"info":"number node, value=3255","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=3255, right_input=1318, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1357","layer":2},{"info":"compute binary expreesion, left_input=-207673494, right_input=1357, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=-65006, right_input=inf, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-inf","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3847⨸⋰*⋻A05)⪟⇏(⋰*⋻919≬⋮⋰*⋻37A9)⪒⊣⊆((⋰*⋻2248⋳⪒⋰*⋻8A7)⨘))⇤((⋰*⋻3009⪮%⊝⋰*⋻1879⨽(⋃⋰*⋻A07))⨔≚≋(⪛⨧(⋰*⋻249A⋅⇍⋰*⋻A99)))=-Inf","reverse_text":"-Inf=((⋰*⋻3847⨸⋰*⋻A05)⪟⇏(⋰*⋻919≬⋮⋰*⋻37A9)⪒⊣⊆((⋰*⋻2248⋳⪒⋰*⋻8A7)⨘))⇤((⋰*⋻3009⪮%⊝⋰*⋻1879⨽(⋃⋰*⋻A07))⨔≚≋(⪛⨧(⋰*⋻249A⋅⇍⋰*⋻A99)))","cot":[{"info":"⋰*⋻3847⨸⋰*⋻A05=⋰*⋻7593","layer":3},{"info":"⋰*⋻919≬⋮⋰*⋻37A9=⋰*⋻71A","layer":3},{"info":"⋰*⋻7593⪟⇏⋰*⋻71A=⋰*⋻-1","layer":2},{"info":"⋰*⋻2248⋳⪒⋰*⋻8A7=⋰*⋻3458","layer":3},{"info":"⋰*⋻3458⨘=⋰*⋻-22506","layer":2},{"info":"⋰*⋻-1⪒⊣⊆⋰*⋻-22506=⋰*⋻-44927","layer":1},{"info":"⋰*⋻3009⪮%⊝⋰*⋻1879=⋰*⋻6284","layer":3},{"info":"⋃⋰*⋻A07=⋰*⋻19A6","layer":3},{"info":"⋰*⋻6284⨽⋰*⋻19A6=⋰*⋻-A7254196","layer":2},{"info":"⋰*⋻249A⋅⇍⋰*⋻A99=⋰*⋻-20","layer":3},{"info":"⪛⨧⋰*⋻-20=⋰*⋻1024","layer":2},{"info":"⋰*⋻-A7254196⨔≚≋⋰*⋻1024=Inf","layer":1},{"info":"⋰*⋻-44927⇤Inf=-Inf","layer":0}]}
{"id":852,"expression_no_base_symbol":"(($7001$≳⇉$1165$)⨽∌($1102$⪚$6570$)↺(⩪∧⨌$2724$)⇷($5078$-$4629$))↳≱($3075$∷$1673$⫡⨏$1716$⫲≸⪮$2311$)⪬(⪁⇼($2136$⫸⊐$2655$))","expression":"((⋰*⋻5295≳⇉⋰*⋻96A)⨽∌(⋰*⋻912⪚⋰*⋻4A33)↺(⩪∧⨌⋰*⋻2057)⇷(⋰*⋻38A7-⋰*⋻3529))↳≱(⋰*⋻2346∷⋰*⋻1291⫡⨏⋰*⋻1320⫲≸⪮⋰*⋻1811)⪬(⪁⇼(⋰*⋻1672⫸⊐⋰*⋻1AA4))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":19685572,"operation_count":14,"complexity_ratio":1406112.2857142857,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":7001,"base":11},"right_expr":{"type":"numeric_atoms","value":1165,"base":11}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1102,"base":11},"right_expr":{"type":"numeric_atoms","value":6570,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2724,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5078,"base":11},"right_expr":{"type":"numeric_atoms","value":4629,"base":11}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3075,"base":11},"right_expr":{"type":"numeric_atoms","value":1673,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1716,"base":11},"right_expr":{"type":"numeric_atoms","value":2311,"base":11}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2136,"base":11},"right_expr":{"type":"numeric_atoms","value":2655,"base":11}}}}},"used_operators":["JwTKLfZU96","7j4O788W3g","9samAPKr6k","V0kx6qeWkN","HrjLwUk87U","mp7IySMOzn","6iOiAJX1F8","rysDP5nf3Z","Ez1Nq5fNfI","QMFrweE19q","D3AQDKkPcf","P3lXMJvFrc","ZNVVrZ94lY","mqXw5SEYmG"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7001","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=7001, right_input=1165, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1102","layer":4},{"info":"number node, value=6570","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=6570, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-11292","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11292, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=2724","layer":4},{"info":"compute unary expreesion, input=2724, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=27240","layer":3},{"info":"number node, value=5078","layer":4},{"info":"number node, value=4629","layer":4},{"info":"compute binary expreesion, left_input=5078, right_input=4629, op_id = rysDP5nf3Z binary_op_definition= 'None', output=449","layer":3},{"info":"compute binary expreesion, left_input=27240, right_input=449, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=898","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=898, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=898","layer":1},{"info":"number node, value=3075","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=1673, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1673","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=2311, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1716","layer":3},{"info":"compute binary expreesion, left_input=1673, right_input=1716, 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=12580","layer":2},{"info":"number node, value=2136","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=2655, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10495","layer":3},{"info":"compute unary expreesion, input=10495, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=12580, right_input=422, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=898, right_input=1234, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5295≳⇉⋰*⋻96A)⨽∌(⋰*⋻912⪚⋰*⋻4A33)↺(⩪∧⨌⋰*⋻2057)⇷(⋰*⋻38A7-⋰*⋻3529))↳≱(⋰*⋻2346∷⋰*⋻1291⫡⨏⋰*⋻1320⫲≸⪮⋰*⋻1811)⪬(⪁⇼(⋰*⋻1672⫸⊐⋰*⋻1AA4))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻5295≳⇉⋰*⋻96A)⨽∌(⋰*⋻912⪚⋰*⋻4A33)↺(⩪∧⨌⋰*⋻2057)⇷(⋰*⋻38A7-⋰*⋻3529))↳≱(⋰*⋻2346∷⋰*⋻1291⫡⨏⋰*⋻1320⫲≸⪮⋰*⋻1811)⪬(⪁⇼(⋰*⋻1672⫸⊐⋰*⋻1AA4))","cot":[{"info":"⋰*⋻5295≳⇉⋰*⋻96A=NaN","layer":3},{"info":"⋰*⋻912⪚⋰*⋻4A33=⋰*⋻-8536","layer":3},{"info":"NaN⨽∌⋰*⋻-8536=⋰*⋻0","layer":2},{"info":"⩪∧⨌⋰*⋻2057=⋰*⋻19514","layer":3},{"info":"⋰*⋻38A7-⋰*⋻3529=⋰*⋻379","layer":3},{"info":"⋰*⋻19514⇷⋰*⋻379=⋰*⋻747","layer":2},{"info":"⋰*⋻0↺⋰*⋻747=⋰*⋻747","layer":1},{"info":"⋰*⋻2346∷⋰*⋻1291=⋰*⋻1291","layer":3},{"info":"⋰*⋻1320⫲≸⪮⋰*⋻1811=⋰*⋻1320","layer":3},{"info":"⋰*⋻1291⫡⨏⋰*⋻1320=⋰*⋻94A7","layer":2},{"info":"⋰*⋻1672⫸⊐⋰*⋻1AA4=⋰*⋻7981","layer":3},{"info":"⪁⇼⋰*⋻7981=⋰*⋻354","layer":2},{"info":"⋰*⋻94A7⪬⋰*⋻354=⋰*⋻A22","layer":1},{"info":"⋰*⋻747↳≱⋰*⋻A22=⋰*⋻0","layer":0}]}
{"id":853,"expression_no_base_symbol":"(∤$2906$≨$4064$∷($2522$∽$2270$))∣(⪡⇡≛(($1799$⪇≇⋚$5094$)→⨶⪴$8089$⇻⋧≁$1501$))","expression":"(∤⋰*⋻2202≨⋰*⋻3065∷(⋰*⋻1993∽⋰*⋻1784))∣(⪡⇡≛((⋰*⋻1396⪇≇⋚⋰*⋻3911)→⨶⪴⋰*⋻6094⇻⋧≁⋰*⋻1145))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8268,"operation_count":9,"complexity_ratio":918.6666666666666,"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":2906,"base":11},"right_expr":{"type":"numeric_atoms","value":4064,"base":11}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2522,"base":11},"right_expr":{"type":"numeric_atoms","value":2270,"base":11}}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1799,"base":11},"right_expr":{"type":"numeric_atoms","value":5094,"base":11}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":8089,"base":11},"right_expr":{"type":"numeric_atoms","value":1501,"base":11}}}}},"used_operators":["PPChnnnBFF","k2HlF1dBQh","D3AQDKkPcf","0KMCeP1Jsh","y4ImoPnbV5","qL4PrbW1Dq","bF6eod5Gvf","3sJ7IOPOlU","jCPkEVoL5K"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","7j4O788W3g","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","8w2t5hMYqp","9FxExcQeMw","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⋰*⋻792","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2906","layer":4},{"info":"number node, value=4064","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=4064, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-26584","layer":3},{"info":"number node, value=2522","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=2270, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-19242","layer":3},{"info":"compute binary expreesion, left_input=-26584, right_input=-19242, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=25790","layer":2},{"info":"compute unary expreesion, input=25790, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=1799","layer":4},{"info":"number node, value=5094","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=5094, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=8089","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=8089, right_input=1501, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=862","layer":2},{"info":"compute unary expreesion, input=862, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-862","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=-862, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=948","layer":0}],"base":11,"result_base":11,"text":"(∤⋰*⋻2202≨⋰*⋻3065∷(⋰*⋻1993∽⋰*⋻1784))∣(⪡⇡≛((⋰*⋻1396⪇≇⋚⋰*⋻3911)→⨶⪴⋰*⋻6094⇻⋧≁⋰*⋻1145))=⋰*⋻792","reverse_text":"⋰*⋻792=(∤⋰*⋻2202≨⋰*⋻3065∷(⋰*⋻1993∽⋰*⋻1784))∣(⪡⇡≛((⋰*⋻1396⪇≇⋚⋰*⋻3911)→⨶⪴⋰*⋻6094⇻⋧≁⋰*⋻1145))","cot":[{"info":"⋰*⋻2202≨⋰*⋻3065=⋰*⋻-18A78","layer":3},{"info":"⋰*⋻1993∽⋰*⋻1784=⋰*⋻-13503","layer":3},{"info":"⋰*⋻-18A78∷⋰*⋻-13503=⋰*⋻18416","layer":2},{"info":"∤⋰*⋻18416=⋰*⋻9","layer":1},{"info":"⋰*⋻1396⪇≇⋚⋰*⋻3911=⋰*⋻0","layer":3},{"info":"⋰*⋻6094⇻⋧≁⋰*⋻1145=⋰*⋻-377","layer":3},{"info":"⋰*⋻0→⨶⪴⋰*⋻-377=⋰*⋻714","layer":2},{"info":"⪡⇡≛⋰*⋻714=⋰*⋻-714","layer":1},{"info":"⋰*⋻9∣⋰*⋻-714=⋰*⋻792","layer":0}]}
{"id":854,"expression_no_base_symbol":"($4992$∓⋝$1776$→⨶⪴$1071$∴$1545$⪭(($1522$⋷$2176$)⨓(≛$2890$)))≝⊿((⨙⪌(↯⪼$1825$))↼⊘⨖($1317$⊉↱≁$1067$⋓$2990$⇷$4957$))","expression":"(⋰*⋻3829∓⋝⋰*⋻1375→⨶⪴⋰*⋻894∴⋰*⋻1185⪭((⋰*⋻1164⋷⋰*⋻16A9)⨓(≛⋰*⋻2198)))≝⊿((⨙⪌(↯⪼⋰*⋻140A))↼⊘⨖(⋰*⋻A98⊉↱≁⋰*⋻890⋓⋰*⋻2279⇷⋰*⋻37A7))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":42952,"operation_count":14,"complexity_ratio":3068.0,"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":4992,"base":11},"right_expr":{"type":"numeric_atoms","value":1776,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1071,"base":11},"right_expr":{"type":"numeric_atoms","value":1545,"base":11}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1522,"base":11},"right_expr":{"type":"numeric_atoms","value":2176,"base":11}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2890,"base":11}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1825,"base":11}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1317,"base":11},"right_expr":{"type":"numeric_atoms","value":1067,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2990,"base":11},"right_expr":{"type":"numeric_atoms","value":4957,"base":11}}}}},"used_operators":["OKKcZfAt5B","j9kHMeSvPp","bF6eod5Gvf","PoHhknlbAi","hrf7POJlIJ","3ViojmjbAp","23Mk6UjR3U","W7eaUhjymW","bPywburJMS","vEGLkm4Z2k","8jW3W4yZS5","T2fj7uvVaJ","w2P8NbNXyL","mp7IySMOzn"],"dependent_operators":["12rbrZMWeM","COABgblf1C","xUOZtlo3hN","8w2t5hMYqp","9FxExcQeMw","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋰*⋻-852A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4992","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=4992, right_input=1776, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1545, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3790","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=3790, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11370","layer":2},{"info":"number node, value=1522","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=2176, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2830","layer":3},{"info":"number node, value=2890","layer":4},{"info":"compute unary expreesion, input=2890, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=2830, right_input=-10, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=7","layer":2},{"info":"compute binary expreesion, left_input=-11370, right_input=7, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=11196","layer":1},{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, 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 = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1067, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=6716","layer":3},{"info":"number node, value=2990","layer":4},{"info":"number node, value=4957","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=4957, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9914","layer":3},{"info":"compute binary expreesion, left_input=6716, right_input=9914, 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=868, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":1},{"info":"compute binary expreesion, left_input=11196, right_input=-222, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11285","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3829∓⋝⋰*⋻1375→⨶⪴⋰*⋻894∴⋰*⋻1185⪭((⋰*⋻1164⋷⋰*⋻16A9)⨓(≛⋰*⋻2198)))≝⊿((⨙⪌(↯⪼⋰*⋻140A))↼⊘⨖(⋰*⋻A98⊉↱≁⋰*⋻890⋓⋰*⋻2279⇷⋰*⋻37A7))=⋰*⋻-852A","reverse_text":"⋰*⋻-852A=(⋰*⋻3829∓⋝⋰*⋻1375→⨶⪴⋰*⋻894∴⋰*⋻1185⪭((⋰*⋻1164⋷⋰*⋻16A9)⨓(≛⋰*⋻2198)))≝⊿((⨙⪌(↯⪼⋰*⋻140A))↼⊘⨖(⋰*⋻A98⊉↱≁⋰*⋻890⋓⋰*⋻2279⇷⋰*⋻37A7))","cot":[{"info":"⋰*⋻3829∓⋝⋰*⋻1375=⋰*⋻61","layer":3},{"info":"⋰*⋻894∴⋰*⋻1185=⋰*⋻2936","layer":3},{"info":"⋰*⋻61→⨶⪴⋰*⋻2936=⋰*⋻-85A7","layer":2},{"info":"⋰*⋻1164⋷⋰*⋻16A9=⋰*⋻2143","layer":3},{"info":"≛⋰*⋻2198=⋰*⋻-A","layer":3},{"info":"⋰*⋻2143⨓⋰*⋻-A=⋰*⋻7","layer":2},{"info":"⋰*⋻-85A7⪭⋰*⋻7=⋰*⋻8459","layer":1},{"info":"↯⪼⋰*⋻140A=⋰*⋻-1A","layer":3},{"info":"⨙⪌⋰*⋻-1A=⋰*⋻71A","layer":2},{"info":"⋰*⋻A98⊉↱≁⋰*⋻890=⋰*⋻5056","layer":3},{"info":"⋰*⋻2279⇷⋰*⋻37A7=⋰*⋻74A3","layer":3},{"info":"⋰*⋻5056⋓⋰*⋻74A3=⋰*⋻0","layer":2},{"info":"⋰*⋻71A↼⊘⨖⋰*⋻0=⋰*⋻-192","layer":1},{"info":"⋰*⋻8459≝⊿⋰*⋻-192=⋰*⋻-852A","layer":0}]}
{"id":855,"expression_no_base_symbol":"(($3346$≝⊿$1465$⋳⪒$2063$⋣⋖$5767$)⊧↖)⫞⩸⩒($1539$↳≱$1037$⫒⫫($1019$⫌⩉⩟$1115$)+⇶⊼$4192$≦↸$1219$⇤($2609$⊓⋫))","expression":"((⋰*⋻2572≝⊿⋰*⋻1112⋳⪒⋰*⋻1606⋣⋖⋰*⋻4373)⊧↖)⫞⩸⩒(⋰*⋻117A↳≱⋰*⋻863⫒⫫(⋰*⋻847⫌⩉⩟⋰*⋻924)+⇶⊼⋰*⋻3171≦↸⋰*⋻A09⇤(⋰*⋻1A62⊓⋫))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":21515,"operation_count":12,"complexity_ratio":1792.9166666666667,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3346,"base":11},"right_expr":{"type":"numeric_atoms","value":1465,"base":11}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2063,"base":11},"right_expr":{"type":"numeric_atoms","value":5767,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1539,"base":11},"right_expr":{"type":"numeric_atoms","value":1037,"base":11}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1019,"base":11},"right_expr":{"type":"numeric_atoms","value":1115,"base":11}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4192,"base":11},"right_expr":{"type":"numeric_atoms","value":1219,"base":11}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":2609,"base":11}}}}},"used_operators":["XGcMNugi78","EKiFHuOFxO","12rbrZMWeM","OKKcZfAt5B","J0M6qkBnIM","TpPTUOHfaN","6Ko8hGgeMq","JwTKLfZU96","XIIwhv8d0m","YSKBFp38Pu","RygbFNSyEJ","IqGBaFP0uj"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd","12rbrZMWeM","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"⋰*⋻715569A29","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3346","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=3346, right_input=1465, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6809","layer":3},{"info":"number node, value=2063","layer":4},{"info":"number node, value=5767","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=5767, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2063","layer":3},{"info":"compute binary expreesion, left_input=-6809, right_input=2063, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-15968","layer":2},{"info":"compute unary expreesion, input=-15968, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=1529763464","layer":1},{"info":"number node, value=1539","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=1037, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1115, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":2},{"info":"number node, value=4192","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=4192, right_input=1219, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10141","layer":3},{"info":"number node, value=2609","layer":4},{"info":"compute unary expreesion, input=2609, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-2737","layer":3},{"info":"compute binary expreesion, left_input=-10141, right_input=-2737, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=67238","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=67238, 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=1529763464, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1529763464","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2572≝⊿⋰*⋻1112⋳⪒⋰*⋻1606⋣⋖⋰*⋻4373)⊧↖)⫞⩸⩒(⋰*⋻117A↳≱⋰*⋻863⫒⫫(⋰*⋻847⫌⩉⩟⋰*⋻924)+⇶⊼⋰*⋻3171≦↸⋰*⋻A09⇤(⋰*⋻1A62⊓⋫))=⋰*⋻715569A29","reverse_text":"⋰*⋻715569A29=((⋰*⋻2572≝⊿⋰*⋻1112⋳⪒⋰*⋻1606⋣⋖⋰*⋻4373)⊧↖)⫞⩸⩒(⋰*⋻117A↳≱⋰*⋻863⫒⫫(⋰*⋻847⫌⩉⩟⋰*⋻924)+⇶⊼⋰*⋻3171≦↸⋰*⋻A09⇤(⋰*⋻1A62⊓⋫))","cot":[{"info":"⋰*⋻2572≝⊿⋰*⋻1112=⋰*⋻-5130","layer":3},{"info":"⋰*⋻1606⋣⋖⋰*⋻4373=⋰*⋻1606","layer":3},{"info":"⋰*⋻-5130⋳⪒⋰*⋻1606=⋰*⋻-10AA7","layer":2},{"info":"⋰*⋻-10AA7⊧↖=⋰*⋻715569A29","layer":1},{"info":"⋰*⋻117A↳≱⋰*⋻863=⋰*⋻0","layer":3},{"info":"⋰*⋻847⫌⩉⩟⋰*⋻924=⋰*⋻-46","layer":3},{"info":"⋰*⋻0⫒⫫⋰*⋻-46=⋰*⋻A3","layer":2},{"info":"⋰*⋻3171≦↸⋰*⋻A09=⋰*⋻-768A","layer":3},{"info":"⋰*⋻1A62⊓⋫=⋰*⋻-2069","layer":3},{"info":"⋰*⋻-768A⇤⋰*⋻-2069=⋰*⋻46576","layer":2},{"info":"⋰*⋻A3+⇶⊼⋰*⋻46576=NaN","layer":1},{"info":"⋰*⋻715569A29⫞⩸⩒NaN=⋰*⋻715569A29","layer":0}]}
{"id":856,"expression_no_base_symbol":"(($1909$∽$2743$)⪭≯($5377$⪉⨛$1743$))⫉⨲⊜(⨝⨆$3439$⊉↱≁$1479$)≃(∨∊⋏((⋠∜$3536$)⨻⩈⩔$5037$⪎↠$3867$))","expression":"((⋰*⋻1486∽⋰*⋻2074)⪭≯(⋰*⋻4049⪉⨛⋰*⋻1345))⫉⨲⊜(⨝⨆⋰*⋻2647⊉↱≁⋰*⋻1125)≃(∨∊⋏((⋠∜⋰*⋻2725)⨻⩈⩔⋰*⋻386A⪎↠⋰*⋻29A6))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7035,"operation_count":11,"complexity_ratio":639.5454545454545,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1909,"base":11},"right_expr":{"type":"numeric_atoms","value":2743,"base":11}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":5377,"base":11},"right_expr":{"type":"numeric_atoms","value":1743,"base":11}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3439,"base":11},"right_expr":{"type":"numeric_atoms","value":1479,"base":11}}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":3536,"base":11}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5037,"base":11},"right_expr":{"type":"numeric_atoms","value":3867,"base":11}}}}},"used_operators":["YbVcJGFEVW","WhqkvtTD3t","XAx5wpdLa6","y4ImoPnbV5","EWw2JM7wp4","bQ67fsrMVf","w2P8NbNXyL","R5aXW34M0v","nEsXyWgiOK","ZJpFhNJr3x","3tVxb0NHM4"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eewbuw0ToL","zVYPLywUTj","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tifHPKVTfV","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1909","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=2743, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17596","layer":3},{"info":"number node, value=5377","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=5377, right_input=1743, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=14603","layer":3},{"info":"compute binary expreesion, left_input=-17596, right_input=14603, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=3439","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=1479, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=25464","layer":3},{"info":"compute unary expreesion, input=25464, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=25255","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=25255, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":1},{"info":"number node, value=3536","layer":4},{"info":"compute unary expreesion, input=3536, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=16428","layer":3},{"info":"number node, value=5037","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=5037, right_input=3867, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=16428, right_input=160, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=123023","layer":2},{"info":"compute unary expreesion, input=123023, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=2939351","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2939351, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1486∽⋰*⋻2074)⪭≯(⋰*⋻4049⪉⨛⋰*⋻1345))⫉⨲⊜(⨝⨆⋰*⋻2647⊉↱≁⋰*⋻1125)≃(∨∊⋏((⋠∜⋰*⋻2725)⨻⩈⩔⋰*⋻386A⪎↠⋰*⋻29A6))=NaN","reverse_text":"NaN=((⋰*⋻1486∽⋰*⋻2074)⪭≯(⋰*⋻4049⪉⨛⋰*⋻1345))⫉⨲⊜(⨝⨆⋰*⋻2647⊉↱≁⋰*⋻1125)≃(∨∊⋏((⋠∜⋰*⋻2725)⨻⩈⩔⋰*⋻386A⪎↠⋰*⋻29A6))","cot":[{"info":"⋰*⋻1486∽⋰*⋻2074=⋰*⋻-12247","layer":3},{"info":"⋰*⋻4049⪉⨛⋰*⋻1345=⋰*⋻AA76","layer":3},{"info":"⋰*⋻-12247⪭≯⋰*⋻AA76=NaN","layer":2},{"info":"⋰*⋻2647⊉↱≁⋰*⋻1125=⋰*⋻1814A","layer":3},{"info":"⨝⨆⋰*⋻1814A=⋰*⋻17A7A","layer":2},{"info":"NaN⫉⨲⊜⋰*⋻17A7A=NaN","layer":1},{"info":"⋠∜⋰*⋻2725=⋰*⋻11385","layer":3},{"info":"⋰*⋻386A⪎↠⋰*⋻29A6=⋰*⋻136","layer":3},{"info":"⋰*⋻11385⨻⩈⩔⋰*⋻136=⋰*⋻8447A","layer":2},{"info":"∨∊⋏⋰*⋻8447A=⋰*⋻1728418","layer":1},{"info":"NaN≃⋰*⋻1728418=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"(⊽(($2972$↬$2639$)∓⋝($6436$≀⫉$8607$)))⊔($1970$⨑≵⋬$2170$)⨔⇊$6198$≁↽≥$3722$⫘(∂(⪁⇼$1590$))","expression":"(⊽((⋰*⋻2262↬⋰*⋻1A8A)∓⋝(⋰*⋻4921≀⫉⋰*⋻6515)))⊔(⋰*⋻1531⨑≵⋬⋰*⋻16A3)⨔⇊⋰*⋻4725≁↽≥⋰*⋻2884⫘(∂(⪁⇼⋰*⋻1216))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":83451,"operation_count":11,"complexity_ratio":7586.454545454545,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2972,"base":11},"right_expr":{"type":"numeric_atoms","value":2639,"base":11}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6436,"base":11},"right_expr":{"type":"numeric_atoms","value":8607,"base":11}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1970,"base":11},"right_expr":{"type":"numeric_atoms","value":2170,"base":11}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6198,"base":11},"right_expr":{"type":"numeric_atoms","value":3722,"base":11}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1590,"base":11}}}}},"used_operators":["E4l6HwMY31","QxG7OkqoLX","PoHhknlbAi","B5M0gjZbta","oZj3VtZNQx","48vC8HMD2b","JclMnS0uGI","XnXgA4xnOs","ncHt1X6cMc","Uaa54Peajs","ZNVVrZ94lY"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rGHVDoGpnC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"⋰*⋻23045A058","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2972","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=2639, 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=6436","layer":4},{"info":"number node, value=8607","layer":4},{"info":"compute binary expreesion, left_input=6436, right_input=8607, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1656","layer":1},{"info":"number node, value=1970","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=2170, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-3961","layer":3},{"info":"number node, value=6198","layer":4},{"info":"number node, value=3722","layer":4},{"info":"compute binary expreesion, left_input=6198, right_input=3722, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=82974","layer":3},{"info":"compute binary expreesion, left_input=-3961, right_input=82974, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=82974","layer":2},{"info":"number node, value=1590","layer":4},{"info":"compute unary expreesion, input=1590, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, 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=82974, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=97581829","layer":1},{"info":"compute binary expreesion, left_input=1656, right_input=97581829, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=487910057","layer":0}],"base":11,"result_base":11,"text":"(⊽((⋰*⋻2262↬⋰*⋻1A8A)∓⋝(⋰*⋻4921≀⫉⋰*⋻6515)))⊔(⋰*⋻1531⨑≵⋬⋰*⋻16A3)⨔⇊⋰*⋻4725≁↽≥⋰*⋻2884⫘(∂(⪁⇼⋰*⋻1216))=⋰*⋻23045A058","reverse_text":"⋰*⋻23045A058=(⊽((⋰*⋻2262↬⋰*⋻1A8A)∓⋝(⋰*⋻4921≀⫉⋰*⋻6515)))⊔(⋰*⋻1531⨑≵⋬⋰*⋻16A3)⨔⇊⋰*⋻4725≁↽≥⋰*⋻2884⫘(∂(⪁⇼⋰*⋻1216))","cot":[{"info":"⋰*⋻2262↬⋰*⋻1A8A=NaN","layer":3},{"info":"⋰*⋻4921≀⫉⋰*⋻6515=⋰*⋻2136","layer":3},{"info":"NaN∓⋝⋰*⋻2136=⋰*⋻61","layer":2},{"info":"⊽⋰*⋻61=⋰*⋻1276","layer":1},{"info":"⋰*⋻1531⨑≵⋬⋰*⋻16A3=⋰*⋻-2A81","layer":3},{"info":"⋰*⋻4725≁↽≥⋰*⋻2884=⋰*⋻57381","layer":3},{"info":"⋰*⋻-2A81⨔⇊⋰*⋻57381=⋰*⋻57381","layer":2},{"info":"⪁⇼⋰*⋻1216=⋰*⋻354","layer":3},{"info":"∂⋰*⋻354=NaN","layer":2},{"info":"⋰*⋻57381⫘NaN=⋰*⋻5009A744","layer":1},{"info":"⋰*⋻1276⊔⋰*⋻5009A744=⋰*⋻23045A058","layer":0}]}
{"id":858,"expression_no_base_symbol":"($3636$⋹⋡⊁$2760$⊋($3440$⨑≵⋬$1084$)≬⋮($2372$∠↢$2592$)≃$1180$⩧⪆$2164$)⨔≚≋((≅≯⇸$3224$)⇉⇱⇎)⇤(($5229$⨽⪊≇)⊋≦⊧$2246$∥⊢⊲$1119$)","expression":"(⋰*⋻2806⋹⋡⊁⋰*⋻208A⊋(⋰*⋻2648⨑≵⋬⋰*⋻8A6)≬⋮(⋰*⋻1867∠↢⋰*⋻1A47)≃⋰*⋻983⩧⪆⋰*⋻1698)⨔≚≋((≅≯⇸⋰*⋻2471)⇉⇱⇎)⇤((⋰*⋻3A24⨽⪊≇)⊋≦⊧⋰*⋻1762∥⊢⊲⋰*⋻928)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":77657,"operation_count":14,"complexity_ratio":5546.928571428572,"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":3636,"base":11},"right_expr":{"type":"numeric_atoms","value":2760,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3440,"base":11},"right_expr":{"type":"numeric_atoms","value":1084,"base":11}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2372,"base":11},"right_expr":{"type":"numeric_atoms","value":2592,"base":11}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1180,"base":11},"right_expr":{"type":"numeric_atoms","value":2164,"base":11}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3224,"base":11}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":5229,"base":11}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2246,"base":11},"right_expr":{"type":"numeric_atoms","value":1119,"base":11}}}}},"used_operators":["Z57zeUYC9z","kbkesczE7y","W4tP9CfskL","As8RqfVLgs","XnXgA4xnOs","YbVcJGFEVW","KbjG8mgYpV","Ikt5ks8PT7","YSKBFp38Pu","MRPaB8lBjK","apS25hmuAe","oRDoc9rAEX","nlCqmYiOvY","v1UQAVDJRr"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3636","layer":4},{"info":"number node, value=2760","layer":4},{"info":"compute binary expreesion, left_input=3636, right_input=2760, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3510","layer":3},{"info":"number node, value=3440","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=3440, right_input=1084, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=10991","layer":3},{"info":"compute binary expreesion, left_input=3510, right_input=10991, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-649567528","layer":2},{"info":"number node, value=2372","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=2592, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-44694","layer":3},{"info":"number node, value=1180","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=2164, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2164","layer":3},{"info":"compute binary expreesion, left_input=-44694, right_input=-2164, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=8616","layer":2},{"info":"compute binary expreesion, left_input=-649567528, right_input=8616, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=3224","layer":4},{"info":"compute unary expreesion, input=3224, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=20573","layer":3},{"info":"compute unary expreesion, input=20573, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-20355","layer":2},{"info":"number node, value=5229","layer":4},{"info":"compute unary expreesion, input=5229, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=9932","layer":3},{"info":"number node, value=2246","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=1119, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9932, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20355, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2806⋹⋡⊁⋰*⋻208A⊋(⋰*⋻2648⨑≵⋬⋰*⋻8A6)≬⋮(⋰*⋻1867∠↢⋰*⋻1A47)≃⋰*⋻983⩧⪆⋰*⋻1698)⨔≚≋((≅≯⇸⋰*⋻2471)⇉⇱⇎)⇤((⋰*⋻3A24⨽⪊≇)⊋≦⊧⋰*⋻1762∥⊢⊲⋰*⋻928)=NaN","reverse_text":"NaN=(⋰*⋻2806⋹⋡⊁⋰*⋻208A⊋(⋰*⋻2648⨑≵⋬⋰*⋻8A6)≬⋮(⋰*⋻1867∠↢⋰*⋻1A47)≃⋰*⋻983⩧⪆⋰*⋻1698)⨔≚≋((≅≯⇸⋰*⋻2471)⇉⇱⇎)⇤((⋰*⋻3A24⨽⪊≇)⊋≦⊧⋰*⋻1762∥⊢⊲⋰*⋻928)","cot":[{"info":"⋰*⋻2806⋹⋡⊁⋰*⋻208A=⋰*⋻2701","layer":3},{"info":"⋰*⋻2648⨑≵⋬⋰*⋻8A6=⋰*⋻8292","layer":3},{"info":"⋰*⋻2701⊋⋰*⋻8292=⋰*⋻-303733775","layer":2},{"info":"⋰*⋻1867∠↢⋰*⋻1A47=⋰*⋻-30641","layer":3},{"info":"⋰*⋻983⩧⪆⋰*⋻1698=⋰*⋻-1698","layer":3},{"info":"⋰*⋻-30641≃⋰*⋻-1698=⋰*⋻6523","layer":2},{"info":"⋰*⋻-303733775≬⋮⋰*⋻6523=⋰*⋻71A","layer":1},{"info":"≅≯⇸⋰*⋻2471=⋰*⋻14503","layer":3},{"info":"⋰*⋻14503⇉⇱⇎=⋰*⋻-14325","layer":2},{"info":"⋰*⋻3A24⨽⪊≇=⋰*⋻750A","layer":3},{"info":"⋰*⋻1762∥⊢⊲⋰*⋻928=NaN","layer":3},{"info":"⋰*⋻750A⊋≦⊧NaN=NaN","layer":2},{"info":"⋰*⋻-14325⇤NaN=NaN","layer":1},{"info":"⋰*⋻71A⨔≚≋NaN=NaN","layer":0}]}
{"id":859,"expression_no_base_symbol":"(≸(⩷⨜⫀$1258$))≁(≋($1922$⋭≵$1401$))⇮⋭(($1387$∷)∖(∤↝$1140$))⨭⪣(($5547$⪒$1724$)∀⊥⇻)","expression":"(≸(⩷⨜⫀⋰*⋻A44))≁(≋(⋰*⋻1498⋭≵⋰*⋻1064))⇮⋭((⋰*⋻1051∷)∖(∤↝⋰*⋻947))⨭⪣((⋰*⋻4193⪒⋰*⋻1328)∀⊥⇻)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1296,"operation_count":12,"complexity_ratio":108.0,"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":1258,"base":11}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1922,"base":11},"right_expr":{"type":"numeric_atoms","value":1401,"base":11}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1387,"base":11}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1140,"base":11}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5547,"base":11},"right_expr":{"type":"numeric_atoms","value":1724,"base":11}}}}},"used_operators":["vkpjKywKVM","8N2wDY1A35","eOf03JbCpp","CDi0ktkjQ4","61wBmkZwlr","jBncVCNhdl","kn8WO9XteQ","tXD093vOjl","nFAOW8KTqp","3UMq87Qwqg","k4iM1060OG","f6k1SAg4EE"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","ruOEQAzv1W","nhYeJWJD5X","7j4O788W3g","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1258","layer":4},{"info":"compute unary expreesion, input=1258, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-985","layer":3},{"info":"compute unary expreesion, input=-985, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=968","layer":2},{"info":"number node, value=1922","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=1401, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=67, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-3849","layer":1},{"info":"number node, value=1387","layer":4},{"info":"compute unary expreesion, input=1387, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=4161","layer":3},{"info":"number node, value=1140","layer":4},{"info":"compute unary expreesion, input=1140, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1140","layer":3},{"info":"compute binary expreesion, left_input=4161, right_input=1140, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=5547","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=5547, right_input=1724, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7271","layer":3},{"info":"compute unary expreesion, input=-7271, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":1},{"info":"compute binary expreesion, left_input=-3849, right_input=-322, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":11,"result_base":11,"text":"(≸(⩷⨜⫀⋰*⋻A44))≁(≋(⋰*⋻1498⋭≵⋰*⋻1064))⇮⋭((⋰*⋻1051∷)∖(∤↝⋰*⋻947))⨭⪣((⋰*⋻4193⪒⋰*⋻1328)∀⊥⇻)=⋰*⋻61","reverse_text":"⋰*⋻61=(≸(⩷⨜⫀⋰*⋻A44))≁(≋(⋰*⋻1498⋭≵⋰*⋻1064))⇮⋭((⋰*⋻1051∷)∖(∤↝⋰*⋻947))⨭⪣((⋰*⋻4193⪒⋰*⋻1328)∀⊥⇻)","cot":[{"info":"⩷⨜⫀⋰*⋻A44=⋰*⋻-816","layer":3},{"info":"≸⋰*⋻-816=⋰*⋻800","layer":2},{"info":"⋰*⋻1498⋭≵⋰*⋻1064=⋰*⋻61","layer":3},{"info":"≋⋰*⋻61=⋰*⋻61","layer":2},{"info":"⋰*⋻800≁⋰*⋻61=⋰*⋻-298A","layer":1},{"info":"⋰*⋻1051∷=⋰*⋻3143","layer":3},{"info":"∤↝⋰*⋻947=⋰*⋻947","layer":3},{"info":"⋰*⋻3143∖⋰*⋻947=⋰*⋻0","layer":2},{"info":"⋰*⋻4193⪒⋰*⋻1328=⋰*⋻-5510","layer":3},{"info":"⋰*⋻-5510∀⊥⇻=⋰*⋻0","layer":2},{"info":"⋰*⋻0⨭⪣⋰*⋻0=⋰*⋻-273","layer":1},{"info":"⋰*⋻-298A⇮⋭⋰*⋻-273=⋰*⋻61","layer":0}]}
{"id":860,"expression_no_base_symbol":"(($3959$⫥∨⫟$1555$)⫯⪬∳$2688$↓$1004$⫌⩉⩟(⇐($4078$⇍⊗$1671$)))⫰⋱((⊄⩳↩(∓$6252$))⫳≱↱($1327$⋅⇍$2390$⫃⨇($2712$∀⋜↑)))","expression":"((⋰*⋻2A7A⫥∨⫟⋰*⋻1194)⫯⪬∳⋰*⋻2024↓⋰*⋻833⫌⩉⩟(⇐(⋰*⋻3078⇍⊗⋰*⋻128A)))⫰⋱((⊄⩳↩(∓⋰*⋻4774))⫳≱↱(⋰*⋻AA7⋅⇍⋰*⋻1883⫃⨇(⋰*⋻2046∀⋜↑)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30307,"operation_count":13,"complexity_ratio":2331.3076923076924,"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":3959,"base":11},"right_expr":{"type":"numeric_atoms","value":1555,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2688,"base":11},"right_expr":{"type":"numeric_atoms","value":1004,"base":11}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":4078,"base":11},"right_expr":{"type":"numeric_atoms","value":1671,"base":11}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":6252,"base":11}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1327,"base":11},"right_expr":{"type":"numeric_atoms","value":2390,"base":11}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":2712,"base":11}}}}},"used_operators":["6o9Blt3TJ6","XIIwhv8d0m","d7ASUq0ydm","KYD54nUTWz","Af076pWI7l","nmZMaaE0Q9","5uvYHDjeKN","ZvLB05nZmT","8w2t5hMYqp","OwUj7dcsQK","09Ly4LVMIf","AdZkA7nFnk","KipPnG1M2J"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","8HhzD0ZcuI","rGHVDoGpnC","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"⋰*⋻76","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3959","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=3959, right_input=1555, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2688","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=1004, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"number node, value=4078","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=4078, right_input=1671, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1784","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1784, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=6252","layer":4},{"info":"compute unary expreesion, input=6252, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-98652","layer":3},{"info":"compute unary expreesion, input=-98652, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=295956","layer":2},{"info":"number node, value=1327","layer":4},{"info":"number node, value=2390","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=2390, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2712","layer":4},{"info":"compute unary expreesion, input=2712, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-484, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=1904","layer":2},{"info":"compute binary expreesion, left_input=295956, right_input=1904, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=-204, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=83","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2A7A⫥∨⫟⋰*⋻1194)⫯⪬∳⋰*⋻2024↓⋰*⋻833⫌⩉⩟(⇐(⋰*⋻3078⇍⊗⋰*⋻128A)))⫰⋱((⊄⩳↩(∓⋰*⋻4774))⫳≱↱(⋰*⋻AA7⋅⇍⋰*⋻1883⫃⨇(⋰*⋻2046∀⋜↑)))=⋰*⋻76","reverse_text":"⋰*⋻76=((⋰*⋻2A7A⫥∨⫟⋰*⋻1194)⫯⪬∳⋰*⋻2024↓⋰*⋻833⫌⩉⩟(⇐(⋰*⋻3078⇍⊗⋰*⋻128A)))⫰⋱((⊄⩳↩(∓⋰*⋻4774))⫳≱↱(⋰*⋻AA7⋅⇍⋰*⋻1883⫃⨇(⋰*⋻2046∀⋜↑)))","cot":[{"info":"⋰*⋻2A7A⫥∨⫟⋰*⋻1194=NaN","layer":3},{"info":"⋰*⋻2024↓⋰*⋻833=⋰*⋻-112","layer":3},{"info":"NaN⫯⪬∳⋰*⋻-112=NaN","layer":2},{"info":"⋰*⋻3078⇍⊗⋰*⋻128A=⋰*⋻-202","layer":3},{"info":"⇐⋰*⋻-202=⋰*⋻-1382","layer":2},{"info":"NaN⫌⩉⩟⋰*⋻-1382=⋰*⋻-46","layer":1},{"info":"∓⋰*⋻4774=⋰*⋻-68134","layer":3},{"info":"⊄⩳↩⋰*⋻-68134=⋰*⋻1923A1","layer":2},{"info":"⋰*⋻AA7⋅⇍⋰*⋻1883=⋰*⋻-20","layer":3},{"info":"⋰*⋻2046∀⋜↑=⋰*⋻-400","layer":3},{"info":"⋰*⋻-20⫃⨇⋰*⋻-400=⋰*⋻1481","layer":2},{"info":"⋰*⋻1923A1⫳≱↱⋰*⋻1481=⋰*⋻-176","layer":1},{"info":"⋰*⋻-46⫰⋱⋰*⋻-176=⋰*⋻76","layer":0}]}
{"id":861,"expression_no_base_symbol":"↔(⨞⊢(≸(⪫⨮⊛$1981$)))","expression":"↔(⨞⊢(≸(⪫⨮⊛⋰*⋻1541)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1189962,"operation_count":4,"complexity_ratio":297490.5,"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":1981,"base":11}}}}},"used_operators":["ruOEQAzv1W","xUOZtlo3hN","eOf03JbCpp","w5FWba1tyO"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"⋰*⋻-112","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1981","layer":4},{"info":"compute unary expreesion, input=1981, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":2},{"info":"compute 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":11,"result_base":11,"text":"↔(⨞⊢(≸(⪫⨮⊛⋰*⋻1541)))=⋰*⋻-112","reverse_text":"⋰*⋻-112=↔(⨞⊢(≸(⪫⨮⊛⋰*⋻1541)))","cot":[{"info":"⪫⨮⊛⋰*⋻1541=NaN","layer":3},{"info":"≸NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"↔NaN=⋰*⋻-112","layer":0}]}
{"id":862,"expression_no_base_symbol":"($2650$⪨⊡$1192$)≎⪠($1142$⫃⨇$4901$)∑⇟⊟(⪡⇡≛($4252$⩌⋺$5870$))⨐⩸⫘($2219$⪒⊣⊆$2965$⪡$7146$⨑⩅≇$2819$∵≐)","expression":"(⋰*⋻1A9A⪨⊡⋰*⋻994)≎⪠(⋰*⋻949⫃⨇⋰*⋻3756)∑⇟⊟(⪡⇡≛(⋰*⋻3216⩌⋺⋰*⋻4457))⨐⩸⫘(⋰*⋻1738⪒⊣⊆⋰*⋻2256⪡⋰*⋻5407⨑⩅≇⋰*⋻2133∵≐)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22068,"operation_count":11,"complexity_ratio":2006.1818181818182,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2650,"base":11},"right_expr":{"type":"numeric_atoms","value":1192,"base":11}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1142,"base":11},"right_expr":{"type":"numeric_atoms","value":4901,"base":11}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4252,"base":11},"right_expr":{"type":"numeric_atoms","value":5870,"base":11}}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":2219,"base":11},"right_expr":{"type":"numeric_atoms","value":2965,"base":11}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":7146,"base":11},"right_expr":{"type":"numeric_atoms","value":2819,"base":11}}}}},"used_operators":["fu6greOZ01","U7g4x0WXJJ","aNhz54LH3e","kuIXHzHcAH","09Ly4LVMIf","qL4PrbW1Dq","g7Hmc5v1ko","59igzFyhWz","oraRL2iQuh","eRqsBgTDFp","h92wMvzauj"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","sdazOOVcIp","W4YGzv6Whe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2650","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=2650, right_input=1192, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=4901","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=4901, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-19636","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-19636, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=4252","layer":4},{"info":"number node, value=5870","layer":4},{"info":"compute binary expreesion, left_input=4252, right_input=5870, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-10243","layer":3},{"info":"compute unary expreesion, input=-10243, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-10243","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-10243, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2219","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=2965, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4438","layer":3},{"info":"number node, value=7146","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=7146, right_input=2819, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-21438","layer":3},{"info":"compute binary expreesion, left_input=4438, right_input=-21438, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-21333","layer":2},{"info":"compute unary expreesion, input=-21333, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=20883","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20883, 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":11,"result_base":11,"text":"(⋰*⋻1A9A⪨⊡⋰*⋻994)≎⪠(⋰*⋻949⫃⨇⋰*⋻3756)∑⇟⊟(⪡⇡≛(⋰*⋻3216⩌⋺⋰*⋻4457))⨐⩸⫘(⋰*⋻1738⪒⊣⊆⋰*⋻2256⪡⋰*⋻5407⨑⩅≇⋰*⋻2133∵≐)=NaN","reverse_text":"NaN=(⋰*⋻1A9A⪨⊡⋰*⋻994)≎⪠(⋰*⋻949⫃⨇⋰*⋻3756)∑⇟⊟(⪡⇡≛(⋰*⋻3216⩌⋺⋰*⋻4457))⨐⩸⫘(⋰*⋻1738⪒⊣⊆⋰*⋻2256⪡⋰*⋻5407⨑⩅≇⋰*⋻2133∵≐)","cot":[{"info":"⋰*⋻1A9A⪨⊡⋰*⋻994=⋰*⋻0","layer":3},{"info":"⋰*⋻949⫃⨇⋰*⋻3756=⋰*⋻-13831","layer":3},{"info":"⋰*⋻0≎⪠⋰*⋻-13831=⋰*⋻13770","layer":2},{"info":"⋰*⋻3216⩌⋺⋰*⋻4457=⋰*⋻-7772","layer":3},{"info":"⪡⇡≛⋰*⋻-7772=⋰*⋻-7772","layer":2},{"info":"⋰*⋻13770∑⇟⊟⋰*⋻-7772=NaN","layer":1},{"info":"⋰*⋻1738⪒⊣⊆⋰*⋻2256=⋰*⋻3375","layer":3},{"info":"⋰*⋻5407⨑⩅≇⋰*⋻2133=⋰*⋻-1511A","layer":3},{"info":"⋰*⋻3375⪡⋰*⋻-1511A=⋰*⋻-15034","layer":2},{"info":"⋰*⋻-15034∵≐=⋰*⋻14765","layer":1},{"info":"NaN⨐⩸⫘⋰*⋻14765=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"((↪⫪⫘(⇤←$1067$))⨘⋶⪀)⩣⫁∢((⊈$3424$)∀⇚≩($1057$⪑⩈)⊦⊿)","expression":"((↪⫪⫘(⇤←⋰*⋻890))⨘⋶⪀)⩣⫁∢((⊈⋰*⋻2633)∀⇚≩(⋰*⋻881⪑⩈)⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26205,"operation_count":8,"complexity_ratio":3275.625,"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":1067,"base":11}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3424,"base":11}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1057,"base":11}}}}},"used_operators":["JDUIKTTSIa","XVKwrhznBb","9dWsAM3GFt","jfAgQ2OQeM","14qkJME0vr","LRNGc0VcxI","RHru8klgy8","C6VvDP6HwP"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","12rbrZMWeM","xUOZtlo3hN","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-3969","layer":3},{"info":"compute unary expreesion, input=-3969, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"number node, value=3424","layer":4},{"info":"compute unary expreesion, input=3424, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3598","layer":3},{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-1015","layer":3},{"info":"compute binary expreesion, left_input=-3598, right_input=-1015, 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 = 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 = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((↪⫪⫘(⇤←⋰*⋻890))⨘⋶⪀)⩣⫁∢((⊈⋰*⋻2633)∀⇚≩(⋰*⋻881⪑⩈)⊦⊿)=NaN","reverse_text":"NaN=((↪⫪⫘(⇤←⋰*⋻890))⨘⋶⪀)⩣⫁∢((⊈⋰*⋻2633)∀⇚≩(⋰*⋻881⪑⩈)⊦⊿)","cot":[{"info":"⇤←⋰*⋻890=⋰*⋻-2A89","layer":3},{"info":"↪⫪⫘⋰*⋻-2A89=⋰*⋻19","layer":2},{"info":"⋰*⋻19⨘⋶⪀=NaN","layer":1},{"info":"⊈⋰*⋻2633=⋰*⋻-2781","layer":3},{"info":"⋰*⋻881⪑⩈=⋰*⋻-843","layer":3},{"info":"⋰*⋻-2781∀⇚≩⋰*⋻-843=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"NaN⩣⫁∢NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"↞≼(⊖∈(+⊝⨔$2216$))⊮⊟↴(($3773$∲⫓$2268$)⨒$2292$⇴∐$7766$)","expression":"↞≼(⊖∈(+⊝⨔⋰*⋻1735))⊮⊟↴((⋰*⋻2920∲⫓⋰*⋻1782)⨒⋰*⋻17A4⇴∐⋰*⋻5920)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":195,"operation_count":7,"complexity_ratio":27.857142857142858,"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":2216,"base":11}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3773,"base":11},"right_expr":{"type":"numeric_atoms","value":2268,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2292,"base":11},"right_expr":{"type":"numeric_atoms","value":7766,"base":11}}}}},"used_operators":["DE7zCoGJt9","QDVgd2eftb","YFxL8Sc2Zy","DhbWaqg5eL","y75s1iXyHd","i8ToyICDmI","HnzytWxmAO"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2216","layer":4},{"info":"compute unary expreesion, input=2216, 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 = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=24846","layer":2},{"info":"number node, value=3773","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=3773, right_input=2268, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=7766","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=7766, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=24846, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↞≼(⊖∈(+⊝⨔⋰*⋻1735))⊮⊟↴((⋰*⋻2920∲⫓⋰*⋻1782)⨒⋰*⋻17A4⇴∐⋰*⋻5920)=NaN","reverse_text":"NaN=↞≼(⊖∈(+⊝⨔⋰*⋻1735))⊮⊟↴((⋰*⋻2920∲⫓⋰*⋻1782)⨒⋰*⋻17A4⇴∐⋰*⋻5920)","cot":[{"info":"+⊝⨔⋰*⋻1735=⋰*⋻1164","layer":3},{"info":"⊖∈⋰*⋻1164=⋰*⋻17738","layer":2},{"info":"⋰*⋻2920∲⫓⋰*⋻1782=⋰*⋻0","layer":3},{"info":"⋰*⋻17A4⇴∐⋰*⋻5920=NaN","layer":3},{"info":"⋰*⋻0⨒NaN=NaN","layer":2},{"info":"⋰*⋻17738⊮⊟↴NaN=NaN","layer":1},{"info":"↞≼NaN=NaN","layer":0}]}
{"id":865,"expression_no_base_symbol":"≸≮((≦∁$4800$↸$1620$)≒∊$3520$≁$1206$⇤(≪$2020$))","expression":"≸≮((≦∁⋰*⋻3674↸⋰*⋻1243)≒∊⋰*⋻2710≁⋰*⋻9A7⇤(≪⋰*⋻1577))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1790,"operation_count":7,"complexity_ratio":255.71428571428572,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4800,"base":11},"right_expr":{"type":"numeric_atoms","value":1620,"base":11}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3520,"base":11},"right_expr":{"type":"numeric_atoms","value":1206,"base":11}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":2020,"base":11}}}}},"used_operators":["AljMvE3RRm","5KTvxBwnZo","9ICcGScMcE","1eCjFl0mb9","YSKBFp38Pu","8N2wDY1A35","Qtd6bqUJcN"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"⋰*⋻45257","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4800","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=4800, right_input=1620, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4800","layer":3},{"info":"compute unary expreesion, input=4800, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4800","layer":2},{"info":"number node, value=3520","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=1206, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=15743","layer":3},{"info":"number node, value=2020","layer":4},{"info":"compute unary expreesion, input=2020, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=15743, right_input=913, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-80432","layer":2},{"info":"compute binary expreesion, left_input=4800, right_input=-80432, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4316","layer":1},{"info":"compute unary expreesion, input=-4316, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=65523","layer":0}],"base":11,"result_base":11,"text":"≸≮((≦∁⋰*⋻3674↸⋰*⋻1243)≒∊⋰*⋻2710≁⋰*⋻9A7⇤(≪⋰*⋻1577))=⋰*⋻45257","reverse_text":"⋰*⋻45257=≸≮((≦∁⋰*⋻3674↸⋰*⋻1243)≒∊⋰*⋻2710≁⋰*⋻9A7⇤(≪⋰*⋻1577))","cot":[{"info":"⋰*⋻3674↸⋰*⋻1243=⋰*⋻3674","layer":3},{"info":"≦∁⋰*⋻3674=⋰*⋻3674","layer":2},{"info":"⋰*⋻2710≁⋰*⋻9A7=⋰*⋻10912","layer":3},{"info":"≪⋰*⋻1577=⋰*⋻760","layer":3},{"info":"⋰*⋻10912⇤⋰*⋻760=⋰*⋻-55480","layer":2},{"info":"⋰*⋻3674≒∊⋰*⋻-55480=⋰*⋻-3274","layer":1},{"info":"≸≮⋰*⋻-3274=⋰*⋻45257","layer":0}]}
{"id":866,"expression_no_base_symbol":"(⊁⨺(≇⪴$2004$⩦$3959$))∩⋅","expression":"(⊁⨺(≇⪴⋰*⋻1562⩦⋰*⋻2A7A))∩⋅","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":4,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2004,"base":11},"right_expr":{"type":"numeric_atoms","value":3959,"base":11}}}}},"used_operators":["2MzE1hQ0cz","PxiHyQbrIp","zoVPnxeHJ3","0kmYd0q39Y"],"dependent_operators":["Qy55tPpLXF","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2004","layer":4},{"info":"number node, value=3959","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=3959, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4008","layer":3},{"info":"compute unary expreesion, input=4008, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-10684","layer":2},{"info":"compute unary expreesion, input=-10684, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-74005","layer":1},{"info":"compute unary expreesion, input=-74005, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":0}],"base":11,"result_base":11,"text":"(⊁⨺(≇⪴⋰*⋻1562⩦⋰*⋻2A7A))∩⋅=⋰*⋻61","reverse_text":"⋰*⋻61=(⊁⨺(≇⪴⋰*⋻1562⩦⋰*⋻2A7A))∩⋅","cot":[{"info":"⋰*⋻1562⩦⋰*⋻2A7A=⋰*⋻3014","layer":3},{"info":"≇⪴⋰*⋻3014=⋰*⋻-8033","layer":2},{"info":"⊁⨺⋰*⋻-8033=⋰*⋻-50668","layer":1},{"info":"⋰*⋻-50668∩⋅=⋰*⋻61","layer":0}]}
{"id":867,"expression_no_base_symbol":"≤/(∡(↘$3452$))≃((≸≮$2057$)⪒(⨂⪏⇭$3346$))","expression":"≤/(∡(↘⋰*⋻2659))≃((≸≮⋰*⋻1600)⪒(⨂⪏⇭⋰*⋻2572))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9976,"operation_count":7,"complexity_ratio":1425.142857142857,"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":3452,"base":11}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2057,"base":11}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3346,"base":11}}}}},"used_operators":["eLAdDNolq6","YbVcJGFEVW","pRsWfj4Fpp","LdNpr8hQHL","f6k1SAg4EE","AljMvE3RRm","AYdpE9sXAk"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","uFcxV4UQCh","W4YGzv6Whe","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3452","layer":4},{"info":"compute unary expreesion, input=3452, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=316","layer":3},{"info":"compute unary expreesion, input=316, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-316","layer":2},{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=3346","layer":4},{"info":"compute unary expreesion, input=3346, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=9059","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9059, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-316, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≤/(∡(↘⋰*⋻2659))≃((≸≮⋰*⋻1600)⪒(⨂⪏⇭⋰*⋻2572))=NaN","reverse_text":"NaN=≤/(∡(↘⋰*⋻2659))≃((≸≮⋰*⋻1600)⪒(⨂⪏⇭⋰*⋻2572))","cot":[{"info":"↘⋰*⋻2659=⋰*⋻268","layer":3},{"info":"∡⋰*⋻268=⋰*⋻-268","layer":2},{"info":"≸≮⋰*⋻1600=NaN","layer":3},{"info":"⨂⪏⇭⋰*⋻2572=⋰*⋻6896","layer":3},{"info":"NaN⪒⋰*⋻6896=NaN","layer":2},{"info":"⋰*⋻-268≃NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"⫶⊄≣($5872$⩖⊿$2438$⩣⫁∢($5070$⫻⋑⊟)⨟⋌⩍(≘($3762$⨵⪆$1291$)))","expression":"⫶⊄≣(⋰*⋻4459⩖⊿⋰*⋻1917⩣⫁∢(⋰*⋻389A⫻⋑⊟)⨟⋌⩍(≘(⋰*⋻2910⨵⪆⋰*⋻A74)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":302,"operation_count":7,"complexity_ratio":43.142857142857146,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5872,"base":11},"right_expr":{"type":"numeric_atoms","value":2438,"base":11}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":5070,"base":11}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3762,"base":11},"right_expr":{"type":"numeric_atoms","value":1291,"base":11}}}}},"used_operators":["wxb3vTeyAj","rGHVDoGpnC","JDUIKTTSIa","RZ5CV9rWsJ","o575Zjdmzy","tcjXMdvYtA","2DQ55sFlQl"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Tcnh7f0tEr","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5872","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=5872, right_input=2438, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-4066","layer":3},{"info":"number node, value=5070","layer":4},{"info":"compute unary expreesion, input=5070, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-9630","layer":3},{"info":"compute binary expreesion, left_input=-4066, right_input=-9630, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=16829","layer":2},{"info":"number node, value=3762","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=1291, 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 = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=353584","layer":2},{"info":"compute binary expreesion, left_input=16829, right_input=353584, 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 unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫶⊄≣(⋰*⋻4459⩖⊿⋰*⋻1917⩣⫁∢(⋰*⋻389A⫻⋑⊟)⨟⋌⩍(≘(⋰*⋻2910⨵⪆⋰*⋻A74)))=NaN","reverse_text":"NaN=⫶⊄≣(⋰*⋻4459⩖⊿⋰*⋻1917⩣⫁∢(⋰*⋻389A⫻⋑⊟)⨟⋌⩍(≘(⋰*⋻2910⨵⪆⋰*⋻A74)))","cot":[{"info":"⋰*⋻4459⩖⊿⋰*⋻1917=⋰*⋻-3067","layer":3},{"info":"⋰*⋻389A⫻⋑⊟=⋰*⋻-7265","layer":3},{"info":"⋰*⋻-3067⩣⫁∢⋰*⋻-7265=⋰*⋻1170A","layer":2},{"info":"⋰*⋻2910⨵⪆⋰*⋻A74=⋰*⋻136","layer":3},{"info":"≘⋰*⋻136=⋰*⋻221720","layer":2},{"info":"⋰*⋻1170A⨟⋌⩍⋰*⋻221720=NaN","layer":1},{"info":"⫶⊄≣NaN=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"$3243$⊱⇼⊻$2529$+⪬∐$6642$⫞⩸⩒$6590$⪥($3502$⋥⋵⩄$1010$∇⊂⋱$1873$∳⫺$1087$)⫚↹⊑($6483$⋩≍≻)⫒⫫$1847$⫁⪎$1894$≒∊(≦∁$2394$)⋛($1187$⇌⫙⪟$5020$)","expression":"⋰*⋻2489⊱⇼⊻⋰*⋻199A+⪬∐⋰*⋻4A99⫞⩸⩒⋰*⋻4A51⪥(⋰*⋻26A4⋥⋵⩄⋰*⋻839∇⊂⋱⋰*⋻1453∳⫺⋰*⋻8A9)⫚↹⊑(⋰*⋻4964⋩≍≻)⫒⫫⋰*⋻142A⫁⪎⋰*⋻1472≒∊(≦∁⋰*⋻1887)⋛(⋰*⋻98A⇌⫙⪟⋰*⋻3854)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":483,"operation_count":15,"complexity_ratio":32.2,"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":3243,"base":11},"right_expr":{"type":"numeric_atoms","value":2529,"base":11}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":6642,"base":11},"right_expr":{"type":"numeric_atoms","value":6590,"base":11}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3502,"base":11},"right_expr":{"type":"numeric_atoms","value":1010,"base":11}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1873,"base":11},"right_expr":{"type":"numeric_atoms","value":1087,"base":11}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":6483,"base":11}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1847,"base":11},"right_expr":{"type":"numeric_atoms","value":1894,"base":11}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2394,"base":11}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1187,"base":11},"right_expr":{"type":"numeric_atoms","value":5020,"base":11}}}}},"used_operators":["dfKe02y8D2","QbnwKVWMIQ","2GS7woTJqF","FyVja0WsTP","XGcMNugi78","nhYeJWJD5X","7t3wd0Fuz7","AzXXKTstlj","5KTvxBwnZo","6Ko8hGgeMq","WYd1w68Nbz","xRrnTEsQ6j","YbUVn0Rbpy","9ICcGScMcE","AFVx7xoS7T"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⋰*⋻-377","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3243","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=2529, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=6642","layer":4},{"info":"number node, value=6590","layer":4},{"info":"compute binary expreesion, left_input=6642, right_input=6590, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=6590, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-1302","layer":2},{"info":"number node, value=3502","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=3502, right_input=1010, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1873","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=1087, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-260, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=520","layer":2},{"info":"compute binary expreesion, left_input=-1302, right_input=520, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=494","layer":1},{"info":"number node, value=6483","layer":4},{"info":"compute unary expreesion, input=6483, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=1847","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=1894, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-47","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-47, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":2},{"info":"number node, value=2394","layer":4},{"info":"compute unary expreesion, input=2394, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2394","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=5020","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=5020, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2394, right_input=113, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-110646","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-110646, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=371","layer":1},{"info":"compute binary expreesion, left_input=494, right_input=371, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻2489⊱⇼⊻⋰*⋻199A+⪬∐⋰*⋻4A99⫞⩸⩒⋰*⋻4A51⪥(⋰*⋻26A4⋥⋵⩄⋰*⋻839∇⊂⋱⋰*⋻1453∳⫺⋰*⋻8A9)⫚↹⊑(⋰*⋻4964⋩≍≻)⫒⫫⋰*⋻142A⫁⪎⋰*⋻1472≒∊(≦∁⋰*⋻1887)⋛(⋰*⋻98A⇌⫙⪟⋰*⋻3854)=⋰*⋻-377","reverse_text":"⋰*⋻-377=⋰*⋻2489⊱⇼⊻⋰*⋻199A+⪬∐⋰*⋻4A99⫞⩸⩒⋰*⋻4A51⪥(⋰*⋻26A4⋥⋵⩄⋰*⋻839∇⊂⋱⋰*⋻1453∳⫺⋰*⋻8A9)⫚↹⊑(⋰*⋻4964⋩≍≻)⫒⫫⋰*⋻142A⫁⪎⋰*⋻1472≒∊(≦∁⋰*⋻1887)⋛(⋰*⋻98A⇌⫙⪟⋰*⋻3854)","cot":[{"info":"⋰*⋻2489⊱⇼⊻⋰*⋻199A=⋰*⋻365","layer":3},{"info":"⋰*⋻4A99⫞⩸⩒⋰*⋻4A51=⋰*⋻4A51","layer":3},{"info":"⋰*⋻365+⪬∐⋰*⋻4A51=⋰*⋻-A84","layer":2},{"info":"⋰*⋻26A4⋥⋵⩄⋰*⋻839=⋰*⋻A3","layer":3},{"info":"⋰*⋻1453∳⫺⋰*⋻8A9=⋰*⋻-217","layer":3},{"info":"⋰*⋻A3∇⊂⋱⋰*⋻-217=⋰*⋻433","layer":2},{"info":"⋰*⋻-A84⪥⋰*⋻433=⋰*⋻40A","layer":1},{"info":"⋰*⋻4964⋩≍≻=⋰*⋻-50","layer":3},{"info":"⋰*⋻142A⫁⪎⋰*⋻1472=⋰*⋻-43","layer":3},{"info":"⋰*⋻-50⫒⫫⋰*⋻-43=⋰*⋻A3","layer":2},{"info":"≦∁⋰*⋻1887=⋰*⋻1887","layer":3},{"info":"⋰*⋻98A⇌⫙⪟⋰*⋻3854=⋰*⋻A3","layer":3},{"info":"⋰*⋻1887⋛⋰*⋻A3=⋰*⋻-76148","layer":2},{"info":"⋰*⋻A3≒∊⋰*⋻-76148=⋰*⋻308","layer":1},{"info":"⋰*⋻40A⫚↹⊑⋰*⋻308=⋰*⋻-377","layer":0}]}
{"id":870,"expression_no_base_symbol":"⇋⊎⋝(⋃(($4115$⪕$1121$)⊫∞))","expression":"⇋⊎⋝(⋃((⋰*⋻3101⪕⋰*⋻92A)⊫∞))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":23254,"operation_count":4,"complexity_ratio":5813.5,"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":4115,"base":11},"right_expr":{"type":"numeric_atoms","value":1121,"base":11}}}}},"used_operators":["CzM2PEoXns","3mBM5G4a3l","pABnYW3G3E","umQnsF7QlU"],"dependent_operators":["dWAJyo7jo9","g55IO6H4Gj","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4115","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=4115, right_input=1121, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8010","layer":3},{"info":"compute unary expreesion, input=8010, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=102","layer":1},{"info":"compute unary expreesion, input=102, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇋⊎⋝(⋃((⋰*⋻3101⪕⋰*⋻92A)⊫∞))=NaN","reverse_text":"NaN=⇋⊎⋝(⋃((⋰*⋻3101⪕⋰*⋻92A)⊫∞))","cot":[{"info":"⋰*⋻3101⪕⋰*⋻92A=⋰*⋻6022","layer":3},{"info":"⋰*⋻6022⊫∞=⋰*⋻0","layer":2},{"info":"⋃⋰*⋻0=⋰*⋻93","layer":1},{"info":"⇋⊎⋝⋰*⋻93=NaN","layer":0}]}
{"id":871,"expression_no_base_symbol":"($1530$∺≝⩲$4566$⩺⪪$4772$⩌⋺$5180$)∓⋝(⪡⇡≛($2242$⨚⇆$1378$))⊋(($6578$≀⩗∶$3867$⊾⪯⋞$5343$⩣⫁∢$2205$)∌↝(→⩰($6173$∀⋜↑)))","expression":"(⋰*⋻1171∺≝⩲⋰*⋻3481⩺⪪⋰*⋻3649⩌⋺⋰*⋻398A)∓⋝(⪡⇡≛(⋰*⋻1759⨚⇆⋰*⋻1043))⊋((⋰*⋻4A40≀⩗∶⋰*⋻29A6⊾⪯⋞⋰*⋻4018⩣⫁∢⋰*⋻1725)∌↝(→⩰(⋰*⋻4702∀⋜↑)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16767,"operation_count":13,"complexity_ratio":1289.7692307692307,"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":1530,"base":11},"right_expr":{"type":"numeric_atoms","value":4566,"base":11}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4772,"base":11},"right_expr":{"type":"numeric_atoms","value":5180,"base":11}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2242,"base":11},"right_expr":{"type":"numeric_atoms","value":1378,"base":11}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":6578,"base":11},"right_expr":{"type":"numeric_atoms","value":3867,"base":11}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5343,"base":11},"right_expr":{"type":"numeric_atoms","value":2205,"base":11}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":6173,"base":11}}}}},"used_operators":["W4tP9CfskL","PoHhknlbAi","uvdQJvN4PV","KPf6cnQVty","g7Hmc5v1ko","qL4PrbW1Dq","lwHaAYXP2r","9Isq31Ruls","HK0tfVPux8","8INZBEW696","JDUIKTTSIa","o8Pngz0Tml","KipPnG1M2J"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"⋰*⋻-15468","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1530","layer":4},{"info":"number node, value=4566","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=4566, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=4772","layer":4},{"info":"number node, value=5180","layer":4},{"info":"compute binary expreesion, left_input=4772, right_input=5180, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-10073","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-10073, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":2},{"info":"number node, value=2242","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2242, right_input=1378, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1914, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=6578","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=6578, right_input=3867, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=5343","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=5343, right_input=2205, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10525","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10525, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"number node, value=6173","layer":4},{"info":"compute unary expreesion, input=6173, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute unary expreesion, input=-484, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-820","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-820, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-21854","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1171∺≝⩲⋰*⋻3481⩺⪪⋰*⋻3649⩌⋺⋰*⋻398A)∓⋝(⪡⇡≛(⋰*⋻1759⨚⇆⋰*⋻1043))⊋((⋰*⋻4A40≀⩗∶⋰*⋻29A6⊾⪯⋞⋰*⋻4018⩣⫁∢⋰*⋻1725)∌↝(→⩰(⋰*⋻4702∀⋜↑)))=⋰*⋻-15468","reverse_text":"⋰*⋻-15468=(⋰*⋻1171∺≝⩲⋰*⋻3481⩺⪪⋰*⋻3649⩌⋺⋰*⋻398A)∓⋝(⪡⇡≛(⋰*⋻1759⨚⇆⋰*⋻1043))⊋((⋰*⋻4A40≀⩗∶⋰*⋻29A6⊾⪯⋞⋰*⋻4018⩣⫁∢⋰*⋻1725)∌↝(→⩰(⋰*⋻4702∀⋜↑)))","cot":[{"info":"⋰*⋻1171∺≝⩲⋰*⋻3481=⋰*⋻136","layer":3},{"info":"⋰*⋻3649⩌⋺⋰*⋻398A=⋰*⋻-7628","layer":3},{"info":"⋰*⋻136⩺⪪⋰*⋻-7628=⋰*⋻1490","layer":2},{"info":"⋰*⋻1759⨚⇆⋰*⋻1043=NaN","layer":3},{"info":"⪡⇡≛NaN=NaN","layer":2},{"info":"⋰*⋻1490∓⋝NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻4A40≀⩗∶⋰*⋻29A6=⋰*⋻0","layer":3},{"info":"⋰*⋻4018⩣⫁∢⋰*⋻1725=⋰*⋻-79A9","layer":3},{"info":"⋰*⋻0⊾⪯⋞⋰*⋻-79A9=⋰*⋻-686","layer":2},{"info":"⋰*⋻4702∀⋜↑=⋰*⋻-400","layer":3},{"info":"→⩰⋰*⋻-400=NaN","layer":2},{"info":"⋰*⋻-686∌↝NaN=⋰*⋻-686","layer":1},{"info":"⋰*⋻61⊋⋰*⋻-686=⋰*⋻-15468","layer":0}]}
{"id":872,"expression_no_base_symbol":"((($3050$⨉)∙∹∝(⨞⊢$3496$))⊢($2519$⋳⪒$2605$∀⋜↑))∓⋝(($3701$∴$8053$⫍⨯↯)⊋($1588$⪐)↳≱(⇖⫷⫕$5449$))","expression":"(((⋰*⋻2323⨉)∙∹∝(⨞⊢⋰*⋻2699))⊢(⋰*⋻1990⋳⪒⋰*⋻1A59∀⋜↑))∓⋝((⋰*⋻2865∴⋰*⋻6061⫍⨯↯)⊋(⋰*⋻1214⪐)↳≱(⇖⫷⫕⋰*⋻4104))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4140,"operation_count":13,"complexity_ratio":318.46153846153845,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":3050,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3496,"base":11}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2519,"base":11},"right_expr":{"type":"numeric_atoms","value":2605,"base":11}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3701,"base":11},"right_expr":{"type":"numeric_atoms","value":8053,"base":11}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1588,"base":11}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":5449,"base":11}}}}},"used_operators":["PoHhknlbAi","5twsqlHp2o","HmxsFra2vL","aMUSaJuDRU","xUOZtlo3hN","KipPnG1M2J","12rbrZMWeM","W4tP9CfskL","ZcwmYACASQ","hrf7POJlIJ","JwTKLfZU96","eH2TOUuTDT","UHmRx3INFg"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","t8gj7n24qd","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3050","layer":4},{"info":"compute unary expreesion, input=3050, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=8428","layer":3},{"info":"number node, value=3496","layer":4},{"info":"compute unary expreesion, input=3496, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3670","layer":3},{"info":"compute binary expreesion, left_input=8428, right_input=-3670, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2519","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=2605, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2146","layer":3},{"info":"compute unary expreesion, input=2146, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-484, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":1},{"info":"number node, value=3701","layer":4},{"info":"number node, value=8053","layer":4},{"info":"compute binary expreesion, left_input=3701, right_input=8053, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9050","layer":3},{"info":"compute unary expreesion, input=9050, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=9017","layer":2},{"info":"number node, value=1588","layer":4},{"info":"compute unary expreesion, input=1588, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3176","layer":3},{"info":"number node, value=5449","layer":4},{"info":"compute unary expreesion, input=5449, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=3176, right_input=2822, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9017, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-5454, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2323⨉)∙∹∝(⨞⊢⋰*⋻2699))⊢(⋰*⋻1990⋳⪒⋰*⋻1A59∀⋜↑))∓⋝((⋰*⋻2865∴⋰*⋻6061⫍⨯↯)⊋(⋰*⋻1214⪐)↳≱(⇖⫷⫕⋰*⋻4104))=⋰*⋻61","reverse_text":"⋰*⋻61=(((⋰*⋻2323⨉)∙∹∝(⨞⊢⋰*⋻2699))⊢(⋰*⋻1990⋳⪒⋰*⋻1A59∀⋜↑))∓⋝((⋰*⋻2865∴⋰*⋻6061⫍⨯↯)⊋(⋰*⋻1214⪐)↳≱(⇖⫷⫕⋰*⋻4104))","cot":[{"info":"⋰*⋻2323⨉=⋰*⋻6372","layer":3},{"info":"⨞⊢⋰*⋻2699=⋰*⋻-2837","layer":3},{"info":"⋰*⋻6372∙∹∝⋰*⋻-2837=⋰*⋻0","layer":2},{"info":"⋰*⋻1990⋳⪒⋰*⋻1A59=⋰*⋻1681","layer":3},{"info":"⋰*⋻1681∀⋜↑=⋰*⋻-400","layer":2},{"info":"⋰*⋻0⊢⋰*⋻-400=⋰*⋻-202","layer":1},{"info":"⋰*⋻2865∴⋰*⋻6061=⋰*⋻6888","layer":3},{"info":"⋰*⋻6888⫍⨯↯=⋰*⋻6858","layer":2},{"info":"⋰*⋻1214⪐=⋰*⋻2428","layer":3},{"info":"⇖⫷⫕⋰*⋻4104=⋰*⋻2136","layer":3},{"info":"⋰*⋻2428↳≱⋰*⋻2136=⋰*⋻0","layer":2},{"info":"⋰*⋻6858⊋⋰*⋻0=⋰*⋻-4109","layer":1},{"info":"⋰*⋻-202∓⋝⋰*⋻-4109=⋰*⋻61","layer":0}]}
{"id":873,"expression_no_base_symbol":"(⪝⪂⫅(($3470$⫰⋱$8479$)⫢⨠$1031$⊱⇼⊻$2745$))⊢(⊖$1046$≹⇙⪍$4684$⩇∃⫛$1514$≦↸$2125$)","expression":"(⪝⪂⫅((⋰*⋻2675⫰⋱⋰*⋻6409)⫢⨠⋰*⋻858⊱⇼⊻⋰*⋻2076))⊢(⊖⋰*⋻871≹⇙⪍⋰*⋻3579⩇∃⫛⋰*⋻1157≦↸⋰*⋻1662)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":297,"operation_count":9,"complexity_ratio":33.0,"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":3470,"base":11},"right_expr":{"type":"numeric_atoms","value":8479,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1031,"base":11},"right_expr":{"type":"numeric_atoms","value":2745,"base":11}}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1046,"base":11},"right_expr":{"type":"numeric_atoms","value":4684,"base":11}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1514,"base":11},"right_expr":{"type":"numeric_atoms","value":2125,"base":11}}}}},"used_operators":["5twsqlHp2o","XTarYq4gQB","xlXykHWxX1","6o9Blt3TJ6","FyVja0WsTP","U6pG0PXrV3","1aApVXNlOP","AHs5Up7iyr","RygbFNSyEJ"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9HNa5Wba9A","8w2t5hMYqp","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋰*⋻3859962","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3470","layer":4},{"info":"number node, value=8479","layer":4},{"info":"compute binary expreesion, left_input=3470, right_input=8479, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3437","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2745, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-3437, right_input=434, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=22754","layer":2},{"info":"compute unary expreesion, input=22754, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-3344838","layer":1},{"info":"number node, value=1046","layer":4},{"info":"number node, value=4684","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=4684, 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=1514","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=2125, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6597","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6597, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3344838, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=6689432","layer":0}],"base":11,"result_base":11,"text":"(⪝⪂⫅((⋰*⋻2675⫰⋱⋰*⋻6409)⫢⨠⋰*⋻858⊱⇼⊻⋰*⋻2076))⊢(⊖⋰*⋻871≹⇙⪍⋰*⋻3579⩇∃⫛⋰*⋻1157≦↸⋰*⋻1662)=⋰*⋻3859962","reverse_text":"⋰*⋻3859962=(⪝⪂⫅((⋰*⋻2675⫰⋱⋰*⋻6409)⫢⨠⋰*⋻858⊱⇼⊻⋰*⋻2076))⊢(⊖⋰*⋻871≹⇙⪍⋰*⋻3579⩇∃⫛⋰*⋻1157≦↸⋰*⋻1662)","cot":[{"info":"⋰*⋻2675⫰⋱⋰*⋻6409=⋰*⋻-2645","layer":3},{"info":"⋰*⋻858⊱⇼⊻⋰*⋻2076=⋰*⋻365","layer":3},{"info":"⋰*⋻-2645⫢⨠⋰*⋻365=⋰*⋻16106","layer":2},{"info":"⪝⪂⫅⋰*⋻16106=⋰*⋻-1985032","layer":1},{"info":"⋰*⋻871≹⇙⪍⋰*⋻3579=NaN","layer":3},{"info":"⋰*⋻1157≦↸⋰*⋻1662=⋰*⋻-4A58","layer":3},{"info":"NaN⩇∃⫛⋰*⋻-4A58=NaN","layer":2},{"info":"⊖NaN=NaN","layer":1},{"info":"⋰*⋻-1985032⊢NaN=⋰*⋻3859962","layer":0}]}
{"id":874,"expression_no_base_symbol":"(↓⇌(($1009$↡⊰⫅$2714$)∌↝($4031$⩺⪪$2825$)))≳⇉((($2993$≦↸$4075$)⫠)↡⊰⫅($1314$⪔$3575$/(⨞⊢$2710$)))","expression":"(↓⇌((⋰*⋻838↡⊰⫅⋰*⋻2048)∌↝(⋰*⋻3035⩺⪪⋰*⋻2139)))≳⇉(((⋰*⋻2281≦↸⋰*⋻3075)⫠)↡⊰⫅(⋰*⋻A95⪔⋰*⋻2760/(⨞⊢⋰*⋻2044)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":232359,"operation_count":11,"complexity_ratio":21123.545454545456,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1009,"base":11},"right_expr":{"type":"numeric_atoms","value":2714,"base":11}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4031,"base":11},"right_expr":{"type":"numeric_atoms","value":2825,"base":11}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2993,"base":11},"right_expr":{"type":"numeric_atoms","value":4075,"base":11}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1314,"base":11},"right_expr":{"type":"numeric_atoms","value":3575,"base":11}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2710,"base":11}}}}},"used_operators":["V0kx6qeWkN","PxpmPgHHJV","9Isq31Ruls","VCtxkLNOzz","uvdQJvN4PV","6SnOT2rOjz","RygbFNSyEJ","XhwjNDsVaA","GjBEYRfMaF","xUOZtlo3hN"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=2714","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=2714, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5428","layer":3},{"info":"number node, value=4031","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=4031, right_input=2825, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-20194","layer":3},{"info":"compute binary expreesion, left_input=5428, right_input=-20194, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=10856","layer":2},{"info":"compute unary expreesion, input=10856, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=10856","layer":1},{"info":"number node, value=2993","layer":4},{"info":"number node, value=4075","layer":4},{"info":"compute binary expreesion, left_input=2993, right_input=4075, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13455","layer":3},{"info":"compute unary expreesion, input=-13455, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=1314","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=1314, right_input=3575, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2710","layer":4},{"info":"compute unary expreesion, input=2710, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2884","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-2884, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=-2","layer":1},{"info":"compute binary expreesion, left_input=10856, right_input=-2, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↓⇌((⋰*⋻838↡⊰⫅⋰*⋻2048)∌↝(⋰*⋻3035⩺⪪⋰*⋻2139)))≳⇉(((⋰*⋻2281≦↸⋰*⋻3075)⫠)↡⊰⫅(⋰*⋻A95⪔⋰*⋻2760/(⨞⊢⋰*⋻2044)))=NaN","reverse_text":"NaN=(↓⇌((⋰*⋻838↡⊰⫅⋰*⋻2048)∌↝(⋰*⋻3035⩺⪪⋰*⋻2139)))≳⇉(((⋰*⋻2281≦↸⋰*⋻3075)⫠)↡⊰⫅(⋰*⋻A95⪔⋰*⋻2760/(⨞⊢⋰*⋻2044)))","cot":[{"info":"⋰*⋻838↡⊰⫅⋰*⋻2048=⋰*⋻4095","layer":3},{"info":"⋰*⋻3035⩺⪪⋰*⋻2139=⋰*⋻-14199","layer":3},{"info":"⋰*⋻4095∌↝⋰*⋻-14199=⋰*⋻817A","layer":2},{"info":"↓⇌⋰*⋻817A=⋰*⋻817A","layer":1},{"info":"⋰*⋻2281≦↸⋰*⋻3075=⋰*⋻-A122","layer":3},{"info":"⋰*⋻-A122⫠=⋰*⋻0","layer":2},{"info":"⋰*⋻A95⪔⋰*⋻2760=⋰*⋻37A","layer":3},{"info":"⨞⊢⋰*⋻2044=⋰*⋻-2192","layer":3},{"info":"⋰*⋻37A/⋰*⋻-2192=⋰*⋻-1","layer":2},{"info":"⋰*⋻0↡⊰⫅⋰*⋻-1=⋰*⋻-2","layer":1},{"info":"⋰*⋻817A≳⇉⋰*⋻-2=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"((↩⪖($1908$∠↢$1127$))*(↘($1190$≑≱⪘)))⫁($2854$⫒⫫$3116$⨔≚≋$2124$↓$4375$+⇶⊼(⫎≠⋺($1277$≬⇓$5399$)))","expression":"((↩⪖(⋰*⋻1485∠↢⋰*⋻935))*(↘(⋰*⋻992≑≱⪘)))⫁(⋰*⋻2165⫒⫫⋰*⋻2383⨔≚≋⋰*⋻1661↓⋰*⋻3318+⇶⊼(⫎≠⋺(⋰*⋻A61≬⇓⋰*⋻4069)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62148,"operation_count":12,"complexity_ratio":5179.0,"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":1908,"base":11},"right_expr":{"type":"numeric_atoms","value":1127,"base":11}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1190,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2854,"base":11},"right_expr":{"type":"numeric_atoms","value":3116,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2124,"base":11},"right_expr":{"type":"numeric_atoms","value":4375,"base":11}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1277,"base":11},"right_expr":{"type":"numeric_atoms","value":5399,"base":11}}}}},"used_operators":["0ajvFaJAv0","9HNa5Wba9A","fG6uBQFnGz","KbjG8mgYpV","LdNpr8hQHL","tGSeddj7UK","TpPTUOHfaN","Z57zeUYC9z","6Ko8hGgeMq","Af076pWI7l","LYeZOJ0nQG","jWTQ2TZYIH"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","uFcxV4UQCh","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","AHs5Up7iyr","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1908","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=1127, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-22328","layer":3},{"info":"compute unary expreesion, input=-22328, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=310398","layer":2},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=27305","layer":3},{"info":"compute unary expreesion, input=27305, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=257","layer":2},{"info":"compute binary expreesion, left_input=310398, right_input=257, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=79772286","layer":1},{"info":"number node, value=2854","layer":4},{"info":"number node, value=3116","layer":4},{"info":"compute binary expreesion, left_input=2854, right_input=3116, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2124","layer":4},{"info":"number node, value=4375","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=4375, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=1277","layer":4},{"info":"number node, value=5399","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=5399, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-709, op_id = 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=79772286, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"((↩⪖(⋰*⋻1485∠↢⋰*⋻935))*(↘(⋰*⋻992≑≱⪘)))⫁(⋰*⋻2165⫒⫫⋰*⋻2383⨔≚≋⋰*⋻1661↓⋰*⋻3318+⇶⊼(⫎≠⋺(⋰*⋻A61≬⇓⋰*⋻4069)))=⋰*⋻136","reverse_text":"⋰*⋻136=((↩⪖(⋰*⋻1485∠↢⋰*⋻935))*(↘(⋰*⋻992≑≱⪘)))⫁(⋰*⋻2165⫒⫫⋰*⋻2383⨔≚≋⋰*⋻1661↓⋰*⋻3318+⇶⊼(⫎≠⋺(⋰*⋻A61≬⇓⋰*⋻4069)))","cot":[{"info":"⋰*⋻1485∠↢⋰*⋻935=⋰*⋻-15859","layer":3},{"info":"↩⪖⋰*⋻-15859=⋰*⋻1A2230","layer":2},{"info":"⋰*⋻992≑≱⪘=⋰*⋻19573","layer":3},{"info":"↘⋰*⋻19573=⋰*⋻214","layer":2},{"info":"⋰*⋻1A2230*⋰*⋻214=⋰*⋻41036110","layer":1},{"info":"⋰*⋻2165⫒⫫⋰*⋻2383=NaN","layer":3},{"info":"⋰*⋻1661↓⋰*⋻3318=⋰*⋻-112","layer":3},{"info":"NaN⨔≚≋⋰*⋻-112=NaN","layer":2},{"info":"⋰*⋻A61≬⇓⋰*⋻4069=⋰*⋻-20","layer":3},{"info":"⫎≠⋺⋰*⋻-20=⋰*⋻-595","layer":2},{"info":"NaN+⇶⊼⋰*⋻-595=NaN","layer":1},{"info":"⋰*⋻41036110⫁NaN=⋰*⋻136","layer":0}]}
{"id":876,"expression_no_base_symbol":"(($1384$⪭$6115$⨳⩥⨓(⇾⩊⇾$4672$))⋛(⇵⪽($5025$↺$1019$)))∓⋝(((↸⊣$2918$)/($3669$⨝⩣∺))⪄$4382$⪥$5040$∌↝($6528$⫸⊐$5955$))","expression":"((⋰*⋻1049⪭⋰*⋻465A⨳⩥⨓(⇾⩊⇾⋰*⋻3568))⋛(⇵⪽(⋰*⋻3859↺⋰*⋻847)))∓⋝(((↸⊣⋰*⋻2213)/(⋰*⋻2836⨝⩣∺))⪄⋰*⋻3324⪥⋰*⋻3872∌↝(⋰*⋻49A5⫸⊐⋰*⋻4524))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":209,"operation_count":14,"complexity_ratio":14.928571428571429,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1384,"base":11},"right_expr":{"type":"numeric_atoms","value":6115,"base":11}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4672,"base":11}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5025,"base":11},"right_expr":{"type":"numeric_atoms","value":1019,"base":11}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2918,"base":11}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":3669,"base":11}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4382,"base":11},"right_expr":{"type":"numeric_atoms","value":5040,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6528,"base":11},"right_expr":{"type":"numeric_atoms","value":5955,"base":11}}}}},"used_operators":["PoHhknlbAi","YbUVn0Rbpy","nCS4ZIUYfx","j9kHMeSvPp","bx9Z9DAK5y","ZGCBLdVRRX","7j4O788W3g","SUmda5xLS4","XhwjNDsVaA","wztAlM01eG","ancx8kZcWl","9Isq31Ruls","QbnwKVWMIQ","mqXw5SEYmG"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DZ8iAZOCBD","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1384","layer":4},{"info":"number node, value=6115","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=6115, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=4672","layer":4},{"info":"compute unary expreesion, input=4672, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-48534","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-48534, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-48539","layer":2},{"info":"number node, value=5025","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=5025, 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 unary expreesion, input=1019, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-48539, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"number node, value=2918","layer":4},{"info":"compute unary expreesion, input=2918, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2631","layer":3},{"info":"number node, value=3669","layer":4},{"info":"compute unary expreesion, input=3669, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-7338","layer":3},{"info":"compute binary expreesion, left_input=-2631, right_input=-7338, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=4382","layer":4},{"info":"number node, value=5040","layer":4},{"info":"compute binary expreesion, left_input=4382, right_input=5040, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=22180","layer":3},{"info":"number node, value=6528","layer":4},{"info":"number node, value=5955","layer":4},{"info":"compute binary expreesion, left_input=6528, right_input=5955, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23695","layer":3},{"info":"compute binary expreesion, left_input=22180, right_input=23695, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=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":"compute binary expreesion, left_input=nan, right_input=3911, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1049⪭⋰*⋻465A⨳⩥⨓(⇾⩊⇾⋰*⋻3568))⋛(⇵⪽(⋰*⋻3859↺⋰*⋻847)))∓⋝(((↸⊣⋰*⋻2213)/(⋰*⋻2836⨝⩣∺))⪄⋰*⋻3324⪥⋰*⋻3872∌↝(⋰*⋻49A5⫸⊐⋰*⋻4524))=⋰*⋻61","reverse_text":"⋰*⋻61=((⋰*⋻1049⪭⋰*⋻465A⨳⩥⨓(⇾⩊⇾⋰*⋻3568))⋛(⇵⪽(⋰*⋻3859↺⋰*⋻847)))∓⋝(((↸⊣⋰*⋻2213)/(⋰*⋻2836⨝⩣∺))⪄⋰*⋻3324⪥⋰*⋻3872∌↝(⋰*⋻49A5⫸⊐⋰*⋻4524))","cot":[{"info":"⋰*⋻1049⪭⋰*⋻465A=⋰*⋻5","layer":3},{"info":"⇾⩊⇾⋰*⋻3568=⋰*⋻-33512","layer":3},{"info":"⋰*⋻5⨳⩥⨓⋰*⋻-33512=⋰*⋻-33517","layer":2},{"info":"⋰*⋻3859↺⋰*⋻847=⋰*⋻847","layer":3},{"info":"⇵⪽⋰*⋻847=NaN","layer":2},{"info":"⋰*⋻-33517⋛NaN=NaN","layer":1},{"info":"↸⊣⋰*⋻2213=⋰*⋻-1A82","layer":3},{"info":"⋰*⋻2836⨝⩣∺=⋰*⋻-5571","layer":3},{"info":"⋰*⋻-1A82/⋰*⋻-5571=⋰*⋻0","layer":2},{"info":"⋰*⋻3324⪥⋰*⋻3872=⋰*⋻15734","layer":3},{"info":"⋰*⋻49A5⫸⊐⋰*⋻4524=⋰*⋻16891","layer":3},{"info":"⋰*⋻15734∌↝⋰*⋻16891=⋰*⋻0","layer":2},{"info":"⋰*⋻0⪄⋰*⋻0=⋰*⋻2A36","layer":1},{"info":"NaN∓⋝⋰*⋻2A36=⋰*⋻61","layer":0}]}
{"id":877,"expression_no_base_symbol":"(($1089$⪡$4735$⪒($6523$⪷))≳⇉((⊬↢$2647$)⫦⪉($2808$⫏⊷)))⋹⋡⊁(($8127$⊾⪯⋞$8225$)⪒⊣⊆(≔$7004$)⫸⇳(↘($3227$∲⫓$7168$)))","expression":"((⋰*⋻900⪡⋰*⋻3615⪒(⋰*⋻49A0⪷))≳⇉((⊬↢⋰*⋻1A97)⫦⪉(⋰*⋻2123⫏⊷)))⋹⋡⊁((⋰*⋻6119⊾⪯⋞⋰*⋻61A8)⪒⊣⊆(≔⋰*⋻5298)⫸⇳(↘(⋰*⋻2474∲⫓⋰*⋻5427)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22709,"operation_count":14,"complexity_ratio":1622.0714285714287,"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":1089,"base":11},"right_expr":{"type":"numeric_atoms","value":4735,"base":11}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":6523,"base":11}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2647,"base":11}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":2808,"base":11}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":8127,"base":11},"right_expr":{"type":"numeric_atoms","value":8225,"base":11}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":7004,"base":11}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3227,"base":11},"right_expr":{"type":"numeric_atoms","value":7168,"base":11}}}}},"used_operators":["As8RqfVLgs","V0kx6qeWkN","f6k1SAg4EE","oraRL2iQuh","Qctrpi3WzA","wscyQdcy20","WPoGxAaPR1","dcShxvzhyw","gx7XJ7hdpj","eRqsBgTDFp","HK0tfVPux8","8FLs4eVsLt","LdNpr8hQHL","i8ToyICDmI"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Nsiff2A1zJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","uFcxV4UQCh","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"number node, value=4735","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=4735, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=6523","layer":4},{"info":"compute unary expreesion, input=6523, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2647","layer":4},{"info":"compute unary expreesion, input=2647, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=2808","layer":4},{"info":"compute unary expreesion, input=2808, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=-820, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4464","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4464, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=8127","layer":4},{"info":"number node, value=8225","layer":4},{"info":"compute binary expreesion, left_input=8127, right_input=8225, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=16024","layer":3},{"info":"number node, value=7004","layer":4},{"info":"compute unary expreesion, input=7004, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-194818","layer":3},{"info":"compute binary expreesion, left_input=16024, right_input=-194818, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=32048","layer":2},{"info":"number node, value=3227","layer":4},{"info":"number node, value=7168","layer":4},{"info":"compute binary expreesion, left_input=3227, right_input=7168, 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 = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=32048, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻900⪡⋰*⋻3615⪒(⋰*⋻49A0⪷))≳⇉((⊬↢⋰*⋻1A97)⫦⪉(⋰*⋻2123⫏⊷)))⋹⋡⊁((⋰*⋻6119⊾⪯⋞⋰*⋻61A8)⪒⊣⊆(≔⋰*⋻5298)⫸⇳(↘(⋰*⋻2474∲⫓⋰*⋻5427)))=NaN","reverse_text":"NaN=((⋰*⋻900⪡⋰*⋻3615⪒(⋰*⋻49A0⪷))≳⇉((⊬↢⋰*⋻1A97)⫦⪉(⋰*⋻2123⫏⊷)))⋹⋡⊁((⋰*⋻6119⊾⪯⋞⋰*⋻61A8)⪒⊣⊆(≔⋰*⋻5298)⫸⇳(↘(⋰*⋻2474∲⫓⋰*⋻5427)))","cot":[{"info":"⋰*⋻900⪡⋰*⋻3615=⋰*⋻98","layer":3},{"info":"⋰*⋻49A0⪷=NaN","layer":3},{"info":"⋰*⋻98⪒NaN=NaN","layer":2},{"info":"⊬↢⋰*⋻1A97=⋰*⋻189","layer":3},{"info":"⋰*⋻2123⫏⊷=⋰*⋻-686","layer":3},{"info":"⋰*⋻189⫦⪉⋰*⋻-686=⋰*⋻3399","layer":2},{"info":"NaN≳⇉⋰*⋻3399=NaN","layer":1},{"info":"⋰*⋻6119⊾⪯⋞⋰*⋻61A8=⋰*⋻11048","layer":3},{"info":"≔⋰*⋻5298=⋰*⋻-123408","layer":3},{"info":"⋰*⋻11048⪒⊣⊆⋰*⋻-123408=⋰*⋻22095","layer":2},{"info":"⋰*⋻2474∲⫓⋰*⋻5427=⋰*⋻0","layer":3},{"info":"↘⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻22095⫸⇳⋰*⋻0=⋰*⋻0","layer":1},{"info":"NaN⋹⋡⊁⋰*⋻0=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"(⫵↿($5521$⫰⋱$1619$)⊴$1070$⪔⊥$6444$)∥⊢⊲($8516$∓⋝$3724$⫲≸⪮$3901$↓$2401$)≁↽≥((∟⋨$6525$)≝⊿$1371$⨥⫆$1685$)","expression":"(⫵↿(⋰*⋻416A⫰⋱⋰*⋻1242)⊴⋰*⋻893⪔⊥⋰*⋻4929)∥⊢⊲(⋰*⋻6442∓⋝⋰*⋻2886⫲≸⪮⋰*⋻2A27↓⋰*⋻1893)≁↽≥((∟⋨⋰*⋻49A2)≝⊿⋰*⋻1037⨥⫆⋰*⋻12A2)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":51378,"operation_count":12,"complexity_ratio":4281.5,"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":5521,"base":11},"right_expr":{"type":"numeric_atoms","value":1619,"base":11}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1070,"base":11},"right_expr":{"type":"numeric_atoms","value":6444,"base":11}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":8516,"base":11},"right_expr":{"type":"numeric_atoms","value":3724,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3901,"base":11},"right_expr":{"type":"numeric_atoms","value":2401,"base":11}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":6525,"base":11}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1371,"base":11},"right_expr":{"type":"numeric_atoms","value":1685,"base":11}}}}},"used_operators":["v1UQAVDJRr","ivGwdmUAux","Nsiff2A1zJ","6o9Blt3TJ6","HJ9erzHUuu","ncHt1X6cMc","P3lXMJvFrc","PoHhknlbAi","Af076pWI7l","OKKcZfAt5B","ctOc4cKSDt","yXekIHxTD4"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","12rbrZMWeM","eLAdDNolq6","tmPS8pqC7x","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5521","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=5521, right_input=1619, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5488","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=6444","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=6444, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-8807","layer":3},{"info":"compute binary expreesion, left_input=-5488, right_input=-8807, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=8516","layer":4},{"info":"number node, value=3724","layer":4},{"info":"compute binary expreesion, left_input=8516, right_input=3724, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3901","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=2401, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-134, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=67","layer":2},{"info":"number node, value=6525","layer":4},{"info":"compute unary expreesion, input=6525, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-6041","layer":3},{"info":"number node, value=1371","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=1685, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3246","layer":3},{"info":"compute binary expreesion, left_input=-6041, right_input=3246, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-984","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-984, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=196, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⫵↿(⋰*⋻416A⫰⋱⋰*⋻1242)⊴⋰*⋻893⪔⊥⋰*⋻4929)∥⊢⊲(⋰*⋻6442∓⋝⋰*⋻2886⫲≸⪮⋰*⋻2A27↓⋰*⋻1893)≁↽≥((∟⋨⋰*⋻49A2)≝⊿⋰*⋻1037⨥⫆⋰*⋻12A2)=⋰*⋻0","reverse_text":"⋰*⋻0=(⫵↿(⋰*⋻416A⫰⋱⋰*⋻1242)⊴⋰*⋻893⪔⊥⋰*⋻4929)∥⊢⊲(⋰*⋻6442∓⋝⋰*⋻2886⫲≸⪮⋰*⋻2A27↓⋰*⋻1893)≁↽≥((∟⋨⋰*⋻49A2)≝⊿⋰*⋻1037⨥⫆⋰*⋻12A2)","cot":[{"info":"⋰*⋻416A⫰⋱⋰*⋻1242=⋰*⋻-413A","layer":3},{"info":"⋰*⋻893⪔⊥⋰*⋻4929=⋰*⋻-6687","layer":3},{"info":"⋰*⋻-413A⊴⋰*⋻-6687=NaN","layer":2},{"info":"⫵↿NaN=⋰*⋻115","layer":1},{"info":"⋰*⋻6442∓⋝⋰*⋻2886=⋰*⋻61","layer":3},{"info":"⋰*⋻2A27↓⋰*⋻1893=⋰*⋻-112","layer":3},{"info":"⋰*⋻61⫲≸⪮⋰*⋻-112=⋰*⋻61","layer":2},{"info":"∟⋨⋰*⋻49A2=⋰*⋻-45A2","layer":3},{"info":"⋰*⋻1037⨥⫆⋰*⋻12A2=⋰*⋻2491","layer":3},{"info":"⋰*⋻-45A2≝⊿⋰*⋻2491=⋰*⋻-815","layer":2},{"info":"⋰*⋻61≁↽≥⋰*⋻-815=⋰*⋻169","layer":1},{"info":"⋰*⋻115∥⊢⊲⋰*⋻169=⋰*⋻0","layer":0}]}
{"id":879,"expression_no_base_symbol":"⊄⩳↩(($1173$↹⊜$1027$/$5958$⩷∴$2207$)∲⫓($4183$↼⊘⨖$6574$)∣$1501$∣$1769$)","expression":"⊄⩳↩((⋰*⋻977↹⊜⋰*⋻854/⋰*⋻4527⩷∴⋰*⋻1727)∲⫓(⋰*⋻3163↼⊘⨖⋰*⋻4A37)∣⋰*⋻1145∣⋰*⋻1369)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43,"operation_count":8,"complexity_ratio":5.375,"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":1173,"base":11},"right_expr":{"type":"numeric_atoms","value":1027,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5958,"base":11},"right_expr":{"type":"numeric_atoms","value":2207,"base":11}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4183,"base":11},"right_expr":{"type":"numeric_atoms","value":6574,"base":11}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1501,"base":11},"right_expr":{"type":"numeric_atoms","value":1769,"base":11}}}}},"used_operators":["8w2t5hMYqp","i8ToyICDmI","XhwjNDsVaA","9bazX3JMtO","9FxExcQeMw","PPChnnnBFF","bPywburJMS"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=1027, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1858","layer":3},{"info":"number node, value=5958","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=5958, right_input=2207, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7470","layer":3},{"info":"compute binary expreesion, left_input=-1858, right_input=7470, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=4183","layer":4},{"info":"number node, value=6574","layer":4},{"info":"compute binary expreesion, left_input=4183, right_input=6574, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12926","layer":3},{"info":"number node, value=1501","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=1769, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1501","layer":3},{"info":"compute binary expreesion, left_input=12926, right_input=1501, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=12926","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=12926, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"⊄⩳↩((⋰*⋻977↹⊜⋰*⋻854/⋰*⋻4527⩷∴⋰*⋻1727)∲⫓(⋰*⋻3163↼⊘⨖⋰*⋻4A37)∣⋰*⋻1145∣⋰*⋻1369)=⋰*⋻0","reverse_text":"⋰*⋻0=⊄⩳↩((⋰*⋻977↹⊜⋰*⋻854/⋰*⋻4527⩷∴⋰*⋻1727)∲⫓(⋰*⋻3163↼⊘⨖⋰*⋻4A37)∣⋰*⋻1145∣⋰*⋻1369)","cot":[{"info":"⋰*⋻977↹⊜⋰*⋻854=⋰*⋻-143A","layer":3},{"info":"⋰*⋻4527⩷∴⋰*⋻1727=⋰*⋻5681","layer":3},{"info":"⋰*⋻-143A/⋰*⋻5681=⋰*⋻-1","layer":2},{"info":"⋰*⋻3163↼⊘⨖⋰*⋻4A37=⋰*⋻9791","layer":3},{"info":"⋰*⋻1145∣⋰*⋻1369=⋰*⋻1145","layer":3},{"info":"⋰*⋻9791∣⋰*⋻1145=⋰*⋻9791","layer":2},{"info":"⋰*⋻-1∲⫓⋰*⋻9791=⋰*⋻0","layer":1},{"info":"⊄⩳↩⋰*⋻0=⋰*⋻0","layer":0}]}
{"id":880,"expression_no_base_symbol":"→⩰((≑⋹($1461$⨐⩸⫘$6980$))⪁($4780$⪭≯$1085$)⋥⋵⩄($1039$⪒$4087$))","expression":"→⩰((≑⋹(⋰*⋻1109⨐⩸⫘⋰*⋻5276))⪁(⋰*⋻3656⪭≯⋰*⋻8A7)⋥⋵⩄(⋰*⋻865⪒⋰*⋻3086))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":506,"operation_count":7,"complexity_ratio":72.28571428571429,"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":1461,"base":11},"right_expr":{"type":"numeric_atoms","value":6980,"base":11}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4780,"base":11},"right_expr":{"type":"numeric_atoms","value":1085,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1039,"base":11},"right_expr":{"type":"numeric_atoms","value":4087,"base":11}}}}},"used_operators":["o8Pngz0Tml","I7sXao9hZE","6B9nyZLogK","fu6greOZ01","7t3wd0Fuz7","XAx5wpdLa6","f6k1SAg4EE"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","3ViojmjbAp","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"number node, value=6980","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=6980, 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 = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":2},{"info":"number node, value=4780","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=4780, right_input=1085, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=4087, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5126","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5126, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"→⩰((≑⋹(⋰*⋻1109⨐⩸⫘⋰*⋻5276))⪁(⋰*⋻3656⪭≯⋰*⋻8A7)⋥⋵⩄(⋰*⋻865⪒⋰*⋻3086))=NaN","reverse_text":"NaN=→⩰((≑⋹(⋰*⋻1109⨐⩸⫘⋰*⋻5276))⪁(⋰*⋻3656⪭≯⋰*⋻8A7)⋥⋵⩄(⋰*⋻865⪒⋰*⋻3086))","cot":[{"info":"⋰*⋻1109⨐⩸⫘⋰*⋻5276=NaN","layer":3},{"info":"≑⋹NaN=NaN","layer":2},{"info":"⋰*⋻3656⪭≯⋰*⋻8A7=NaN","layer":3},{"info":"⋰*⋻865⪒⋰*⋻3086=⋰*⋻-3940","layer":3},{"info":"NaN⋥⋵⩄⋰*⋻-3940=NaN","layer":2},{"info":"NaN⪁NaN=NaN","layer":1},{"info":"→⩰NaN=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"($1092$≥⨤⩑$2070$↡⊰⫅($7451$⊉≛↸$5077$)⫌⩉⩟($2299$⨿$3227$⨲∙))⇮⋭(≉(⊥($1378$⪉⨛$4892$)))","expression":"(⋰*⋻903≥⨤⩑⋰*⋻1612↡⊰⫅(⋰*⋻5664⊉≛↸⋰*⋻38A6)⫌⩉⩟(⋰*⋻1800⨿⋰*⋻2474⨲∙))⇮⋭(≉(⊥(⋰*⋻1043⪉⨛⋰*⋻3748)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":512058,"operation_count":10,"complexity_ratio":51205.8,"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":1092,"base":11},"right_expr":{"type":"numeric_atoms","value":2070,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7451,"base":11},"right_expr":{"type":"numeric_atoms","value":5077,"base":11}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2299,"base":11},"right_expr":{"type":"numeric_atoms","value":3227,"base":11}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1378,"base":11},"right_expr":{"type":"numeric_atoms","value":4892,"base":11}}}}},"used_operators":["vkpjKywKVM","XIIwhv8d0m","VCtxkLNOzz","gJLn6v0xnP","DZ8iAZOCBD","cRahaglYVE","abYXlopdE0","e1ybzncUwg","Q3PJZHRvZv","EWw2JM7wp4"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⋰*⋻-3A0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=2070, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=7451","layer":4},{"info":"number node, value=5077","layer":4},{"info":"compute binary expreesion, left_input=7451, right_input=5077, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14902","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=14902, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=29804","layer":2},{"info":"number node, value=2299","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=3227, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=29804, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1378","layer":4},{"info":"number node, value=4892","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=4892, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-543","layer":3},{"info":"compute unary expreesion, input=-543, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=546","layer":2},{"info":"compute unary expreesion, input=546, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1077","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=1077, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻903≥⨤⩑⋰*⋻1612↡⊰⫅(⋰*⋻5664⊉≛↸⋰*⋻38A6)⫌⩉⩟(⋰*⋻1800⨿⋰*⋻2474⨲∙))⇮⋭(≉(⊥(⋰*⋻1043⪉⨛⋰*⋻3748)))=⋰*⋻-3A0","reverse_text":"⋰*⋻-3A0=(⋰*⋻903≥⨤⩑⋰*⋻1612↡⊰⫅(⋰*⋻5664⊉≛↸⋰*⋻38A6)⫌⩉⩟(⋰*⋻1800⨿⋰*⋻2474⨲∙))⇮⋭(≉(⊥(⋰*⋻1043⪉⨛⋰*⋻3748)))","cot":[{"info":"⋰*⋻903≥⨤⩑⋰*⋻1612=⋰*⋻A22","layer":3},{"info":"⋰*⋻5664⊉≛↸⋰*⋻38A6=⋰*⋻10218","layer":3},{"info":"⋰*⋻A22↡⊰⫅⋰*⋻10218=⋰*⋻20435","layer":2},{"info":"⋰*⋻1800⨿⋰*⋻2474=⋰*⋻-270","layer":3},{"info":"⋰*⋻-270⨲∙=NaN","layer":2},{"info":"⋰*⋻20435⫌⩉⩟NaN=⋰*⋻-46","layer":1},{"info":"⋰*⋻1043⪉⨛⋰*⋻3748=⋰*⋻-454","layer":3},{"info":"⊥⋰*⋻-454=⋰*⋻457","layer":2},{"info":"≉⋰*⋻457=⋰*⋻89A","layer":1},{"info":"⋰*⋻-46⇮⋭⋰*⋻89A=⋰*⋻-3A0","layer":0}]}
{"id":882,"expression_no_base_symbol":"⊤⊝(($2510$⪷)⫥∨⫟(⇜$4641$))≝⊿($3581$≚⊃≕$1830$⋣⋖$1118$⪔⊥$3443$)","expression":"⊤⊝((⋰*⋻1982⪷)⫥∨⫟(⇜⋰*⋻353A))≝⊿(⋰*⋻2766≚⊃≕⋰*⋻1414⋣⋖⋰*⋻927⪔⊥⋰*⋻2650)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3048,"operation_count":8,"complexity_ratio":381.0,"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":2510,"base":11}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4641,"base":11}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3581,"base":11},"right_expr":{"type":"numeric_atoms","value":1830,"base":11}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1118,"base":11},"right_expr":{"type":"numeric_atoms","value":3443,"base":11}}}}},"used_operators":["rXAclfmB4M","OKKcZfAt5B","KYD54nUTWz","Qctrpi3WzA","lFBm8KRb8F","J0M6qkBnIM","Bmrmz2XGnR","HJ9erzHUuu"],"dependent_operators":["sdazOOVcIp","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","Nsiff2A1zJ","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2510","layer":4},{"info":"compute unary expreesion, input=2510, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=4641","layer":4},{"info":"compute unary expreesion, input=4641, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-37536","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-37536, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3581","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=3581, right_input=1830, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=3443","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=3443, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-2613","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-2613, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⊤⊝((⋰*⋻1982⪷)⫥∨⫟(⇜⋰*⋻353A))≝⊿(⋰*⋻2766≚⊃≕⋰*⋻1414⋣⋖⋰*⋻927⪔⊥⋰*⋻2650)=NaN","reverse_text":"NaN=⊤⊝((⋰*⋻1982⪷)⫥∨⫟(⇜⋰*⋻353A))≝⊿(⋰*⋻2766≚⊃≕⋰*⋻1414⋣⋖⋰*⋻927⪔⊥⋰*⋻2650)","cot":[{"info":"⋰*⋻1982⪷=NaN","layer":3},{"info":"⇜⋰*⋻353A=⋰*⋻-26224","layer":3},{"info":"NaN⫥∨⫟⋰*⋻-26224=NaN","layer":2},{"info":"⋰*⋻2766≚⊃≕⋰*⋻1414=⋰*⋻61","layer":3},{"info":"⋰*⋻927⪔⊥⋰*⋻2650=⋰*⋻-1A66","layer":3},{"info":"⋰*⋻61⋣⋖⋰*⋻-1A66=⋰*⋻61","layer":2},{"info":"NaN≝⊿⋰*⋻61=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
{"id":883,"expression_no_base_symbol":"($3590$⨚$7733$)⊢($8546$⨒$1643$)⫳≱↱($1916$/$5831$⋷$1571$⊍⩺⋍$6150$)⊉≛↸((↓⇌($1335$⨚$1133$))≬⋮$1631$∋$1928$≨($8615$⪨⊡$1842$))","expression":"(⋰*⋻2774⨚⋰*⋻58A0)⊢(⋰*⋻646A⨒⋰*⋻1264)⫳≱↱(⋰*⋻1492/⋰*⋻4421⋷⋰*⋻11A9⊍⩺⋍⋰*⋻4691)⊉≛↸((↓⇌(⋰*⋻1004⨚⋰*⋻940))≬⋮⋰*⋻1253∋⋰*⋻14A3≨(⋰*⋻6522⪨⊡⋰*⋻1425))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":552,"operation_count":14,"complexity_ratio":39.42857142857143,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3590,"base":11},"right_expr":{"type":"numeric_atoms","value":7733,"base":11}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":8546,"base":11},"right_expr":{"type":"numeric_atoms","value":1643,"base":11}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1916,"base":11},"right_expr":{"type":"numeric_atoms","value":5831,"base":11}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1571,"base":11},"right_expr":{"type":"numeric_atoms","value":6150,"base":11}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1335,"base":11},"right_expr":{"type":"numeric_atoms","value":1133,"base":11}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1631,"base":11},"right_expr":{"type":"numeric_atoms","value":1928,"base":11}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":8615,"base":11},"right_expr":{"type":"numeric_atoms","value":1842,"base":11}}}}},"used_operators":["DZ8iAZOCBD","ZvLB05nZmT","5twsqlHp2o","nREPSIbpBE","y75s1iXyHd","23Mk6UjR3U","XhwjNDsVaA","OXDGMFPWZM","kbkesczE7y","PxpmPgHHJV","0KMCeP1Jsh","ukq6epAj5P","kuIXHzHcAH"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","BjRHVeLaeN","12rbrZMWeM","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⋰*⋻-71A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3590","layer":4},{"info":"number node, value=7733","layer":4},{"info":"compute binary expreesion, left_input=3590, right_input=7733, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-22818","layer":3},{"info":"number node, value=8546","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=8546, right_input=1643, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-50904","layer":3},{"info":"compute binary expreesion, left_input=-22818, right_input=-50904, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=45392","layer":2},{"info":"number node, value=1916","layer":4},{"info":"number node, value=5831","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=5831, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=6150","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=6150, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', 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":"compute binary expreesion, left_input=45392, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":1},{"info":"number node, value=1335","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=1133, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-928","layer":3},{"info":"compute unary expreesion, input=-928, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-1856","layer":2},{"info":"number node, value=1631","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1928, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4025956","layer":3},{"info":"number node, value=8615","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=8615, right_input=1842, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4025956, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-40257084","layer":2},{"info":"compute binary expreesion, left_input=-1856, right_input=-40257084, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-471, right_input=868, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-868","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2774⨚⋰*⋻58A0)⊢(⋰*⋻646A⨒⋰*⋻1264)⫳≱↱(⋰*⋻1492/⋰*⋻4421⋷⋰*⋻11A9⊍⩺⋍⋰*⋻4691)⊉≛↸((↓⇌(⋰*⋻1004⨚⋰*⋻940))≬⋮⋰*⋻1253∋⋰*⋻14A3≨(⋰*⋻6522⪨⊡⋰*⋻1425))=⋰*⋻-71A","reverse_text":"⋰*⋻-71A=(⋰*⋻2774⨚⋰*⋻58A0)⊢(⋰*⋻646A⨒⋰*⋻1264)⫳≱↱(⋰*⋻1492/⋰*⋻4421⋷⋰*⋻11A9⊍⩺⋍⋰*⋻4691)⊉≛↸((↓⇌(⋰*⋻1004⨚⋰*⋻940))≬⋮⋰*⋻1253∋⋰*⋻14A3≨(⋰*⋻6522⪨⊡⋰*⋻1425))","cot":[{"info":"⋰*⋻2774⨚⋰*⋻58A0=⋰*⋻-16164","layer":3},{"info":"⋰*⋻646A⨒⋰*⋻1264=⋰*⋻-35277","layer":3},{"info":"⋰*⋻-16164⊢⋰*⋻-35277=⋰*⋻31116","layer":2},{"info":"⋰*⋻1492/⋰*⋻4421=⋰*⋻0","layer":3},{"info":"⋰*⋻11A9⊍⩺⋍⋰*⋻4691=NaN","layer":3},{"info":"⋰*⋻0⋷NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻31116⫳≱↱⋰*⋻0=⋰*⋻-399","layer":1},{"info":"⋰*⋻1004⨚⋰*⋻940=⋰*⋻-774","layer":3},{"info":"↓⇌⋰*⋻-774=⋰*⋻-1438","layer":2},{"info":"⋰*⋻1253∋⋰*⋻14A3=⋰*⋻22AA840","layer":3},{"info":"⋰*⋻6522⪨⊡⋰*⋻1425=⋰*⋻0","layer":3},{"info":"⋰*⋻22AA840≨⋰*⋻0=⋰*⋻-207A681A","layer":2},{"info":"⋰*⋻-1438≬⋮⋰*⋻-207A681A=⋰*⋻71A","layer":1},{"info":"⋰*⋻-399⊉≛↸⋰*⋻71A=⋰*⋻-71A","layer":0}]}
{"id":884,"expression_no_base_symbol":"⨙⪌(($1540$⪥$2055$-$2321$⇂≾⫗$2586$)⩎⪣⊞)","expression":"⨙⪌((⋰*⋻1180⪥⋰*⋻15A9-⋰*⋻1820⇂≾⫗⋰*⋻1A41)⩎⪣⊞)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":161831,"operation_count":5,"complexity_ratio":32366.2,"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":1540,"base":11},"right_expr":{"type":"numeric_atoms","value":2055,"base":11}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2321,"base":11},"right_expr":{"type":"numeric_atoms","value":2586,"base":11}}}}},"used_operators":["vEGLkm4Z2k","waWucp1uQ4","rysDP5nf3Z","QbnwKVWMIQ","aBQ6xLxuTc"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","mp7IySMOzn","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⋰*⋻71A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1540","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=2055, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10812","layer":3},{"info":"number node, value=2321","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=2321, right_input=2586, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=10812, right_input=-676, op_id = rysDP5nf3Z binary_op_definition= 'None', output=11488","layer":2},{"info":"compute unary expreesion, input=11488, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=22976","layer":1},{"info":"compute unary expreesion, input=22976, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":11,"result_base":11,"text":"⨙⪌((⋰*⋻1180⪥⋰*⋻15A9-⋰*⋻1820⇂≾⫗⋰*⋻1A41)⩎⪣⊞)=⋰*⋻71A","reverse_text":"⋰*⋻71A=⨙⪌((⋰*⋻1180⪥⋰*⋻15A9-⋰*⋻1820⇂≾⫗⋰*⋻1A41)⩎⪣⊞)","cot":[{"info":"⋰*⋻1180⪥⋰*⋻15A9=⋰*⋻813A","layer":3},{"info":"⋰*⋻1820⇂≾⫗⋰*⋻1A41=⋰*⋻-565","layer":3},{"info":"⋰*⋻813A-⋰*⋻-565=⋰*⋻86A4","layer":2},{"info":"⋰*⋻86A4⩎⪣⊞=⋰*⋻16298","layer":1},{"info":"⨙⪌⋰*⋻16298=⋰*⋻71A","layer":0}]}
{"id":885,"expression_no_base_symbol":"((($1789$⨁⊸⫻)⋷$4640$↓$1106$)⫲≸⪮($2572$⇮⋭$1412$)⫞⩸⩒(∤↝$3915$))∌↝($5710$⪒$4180$)⩖⊿($3710$⨟⋌⩍$1178$)+⪬∐(($1803$≚⋢)⪭$1645$⊋$1766$)","expression":"(((⋰*⋻1387⨁⊸⫻)⋷⋰*⋻3539↓⋰*⋻916)⫲≸⪮(⋰*⋻1A29⇮⋭⋰*⋻1074)⫞⩸⩒(∤↝⋰*⋻2A3A))∌↝(⋰*⋻4321⪒⋰*⋻3160)⩖⊿(⋰*⋻2873⨟⋌⩍⋰*⋻981)+⪬∐((⋰*⋻139A≚⋢)⪭⋰*⋻1266⊋⋰*⋻1366)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18216,"operation_count":15,"complexity_ratio":1214.4,"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":1789,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4640,"base":11},"right_expr":{"type":"numeric_atoms","value":1106,"base":11}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2572,"base":11},"right_expr":{"type":"numeric_atoms","value":1412,"base":11}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3915,"base":11}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5710,"base":11},"right_expr":{"type":"numeric_atoms","value":4180,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3710,"base":11},"right_expr":{"type":"numeric_atoms","value":1178,"base":11}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1803,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1645,"base":11},"right_expr":{"type":"numeric_atoms","value":1766,"base":11}}}}},"used_operators":["9Isq31Ruls","P3lXMJvFrc","23Mk6UjR3U","glklzrTFfD","Af076pWI7l","XGcMNugi78","vkpjKywKVM","3UMq87Qwqg","2GS7woTJqF","RZ5CV9rWsJ","f6k1SAg4EE","rGHVDoGpnC","j9kHMeSvPp","MahUMFw56D","W4tP9CfskL"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","g55IO6H4Gj","D4vGDi5EA2","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","COABgblf1C","xUOZtlo3hN","3ViojmjbAp","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⋰*⋻3100","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1789","layer":4},{"info":"compute unary expreesion, input=1789, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1789","layer":3},{"info":"number node, value=4640","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=4640, right_input=1106, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1789, right_input=-134, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2057","layer":2},{"info":"number node, value=2572","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=1412, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3915","layer":4},{"info":"compute unary expreesion, input=3915, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=3915","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=3915, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=-2057, right_input=-473, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2057","layer":1},{"info":"number node, value=5710","layer":4},{"info":"number node, value=4180","layer":4},{"info":"compute binary expreesion, left_input=5710, right_input=4180, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9890","layer":3},{"info":"number node, value=3710","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=3710, right_input=1178, 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=-9890, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=1803","layer":4},{"info":"compute unary expreesion, input=1803, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=1645","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=1766, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-1105688","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=-1105688, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-85","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-85, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2057, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=4114","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1387⨁⊸⫻)⋷⋰*⋻3539↓⋰*⋻916)⫲≸⪮(⋰*⋻1A29⇮⋭⋰*⋻1074)⫞⩸⩒(∤↝⋰*⋻2A3A))∌↝(⋰*⋻4321⪒⋰*⋻3160)⩖⊿(⋰*⋻2873⨟⋌⩍⋰*⋻981)+⪬∐((⋰*⋻139A≚⋢)⪭⋰*⋻1266⊋⋰*⋻1366)=⋰*⋻3100","reverse_text":"⋰*⋻3100=(((⋰*⋻1387⨁⊸⫻)⋷⋰*⋻3539↓⋰*⋻916)⫲≸⪮(⋰*⋻1A29⇮⋭⋰*⋻1074)⫞⩸⩒(∤↝⋰*⋻2A3A))∌↝(⋰*⋻4321⪒⋰*⋻3160)⩖⊿(⋰*⋻2873⨟⋌⩍⋰*⋻981)+⪬∐((⋰*⋻139A≚⋢)⪭⋰*⋻1266⊋⋰*⋻1366)","cot":[{"info":"⋰*⋻1387⨁⊸⫻=⋰*⋻1387","layer":3},{"info":"⋰*⋻3539↓⋰*⋻916=⋰*⋻-112","layer":3},{"info":"⋰*⋻1387⋷⋰*⋻-112=⋰*⋻-1600","layer":2},{"info":"⋰*⋻1A29⇮⋭⋰*⋻1074=⋰*⋻-3A0","layer":3},{"info":"∤↝⋰*⋻2A3A=⋰*⋻2A3A","layer":3},{"info":"⋰*⋻-3A0⫞⩸⩒⋰*⋻2A3A=⋰*⋻-3A0","layer":2},{"info":"⋰*⋻-1600⫲≸⪮⋰*⋻-3A0=⋰*⋻1600","layer":1},{"info":"⋰*⋻4321⪒⋰*⋻3160=⋰*⋻-7481","layer":3},{"info":"⋰*⋻2873⨟⋌⩍⋰*⋻981=NaN","layer":3},{"info":"⋰*⋻-7481⩖⊿NaN=NaN","layer":2},{"info":"⋰*⋻139A≚⋢=⋰*⋻-81","layer":3},{"info":"⋰*⋻1266⊋⋰*⋻1366=⋰*⋻-6957A1","layer":3},{"info":"⋰*⋻-81⪭⋰*⋻-6957A1=⋰*⋻-78","layer":2},{"info":"NaN+⪬∐⋰*⋻-78=NaN","layer":1},{"info":"⋰*⋻1600∌↝NaN=⋰*⋻3100","layer":0}]}
{"id":886,"expression_no_base_symbol":"$1327$⪪$1068$⋭≵$3091$⪛$3071$⫌⩉⩟$4137$⪥$4875$⨸⪁($1125$⋷$6992$)⫡⨏$5783$⇄$7448$⪨⊡$6875$⊱⇼⊻$2704$⊍⩺⋍($3201$⪔$1452$)⊉↱≁($6079$⨲∙)","expression":"⋰*⋻AA7⪪⋰*⋻891⋭≵⋰*⋻2360⪛⋰*⋻2342⫌⩉⩟⋰*⋻3121⪥⋰*⋻3732⨸⪁(⋰*⋻933⋷⋰*⋻5287)⫡⨏⋰*⋻4388⇄⋰*⋻5661⪨⊡⋰*⋻5190⊱⇼⊻⋰*⋻2039⊍⩺⋍(⋰*⋻2450⪔⋰*⋻1100)⊉↱≁(⋰*⋻4627⨲∙)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":438057,"operation_count":15,"complexity_ratio":29203.8,"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":1327,"base":11},"right_expr":{"type":"numeric_atoms","value":1068,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3091,"base":11},"right_expr":{"type":"numeric_atoms","value":3071,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4137,"base":11},"right_expr":{"type":"numeric_atoms","value":4875,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1125,"base":11},"right_expr":{"type":"numeric_atoms","value":6992,"base":11}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5783,"base":11},"right_expr":{"type":"numeric_atoms","value":7448,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":6875,"base":11},"right_expr":{"type":"numeric_atoms","value":2704,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3201,"base":11},"right_expr":{"type":"numeric_atoms","value":1452,"base":11}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":6079,"base":11}}}}},"used_operators":["QMFrweE19q","XIIwhv8d0m","jBncVCNhdl","xD69zh8xqp","uFcxV4UQCh","g55IO6H4Gj","QbnwKVWMIQ","23Mk6UjR3U","OXDGMFPWZM","kuIXHzHcAH","3EYGwJThht","FyVja0WsTP","w2P8NbNXyL","GjBEYRfMaF","cRahaglYVE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=1068, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-196466","layer":3},{"info":"number node, value=3091","layer":4},{"info":"number node, value=3071","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=3071, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-196466, right_input=20, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=4137","layer":4},{"info":"number node, value=4875","layer":4},{"info":"compute binary expreesion, left_input=4137, right_input=4875, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=21200","layer":3},{"info":"number node, value=1125","layer":4},{"info":"number node, value=6992","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=6992, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12859","layer":3},{"info":"compute binary expreesion, left_input=21200, right_input=12859, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=68118","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=68118, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=5783","layer":4},{"info":"number node, value=7448","layer":4},{"info":"compute binary expreesion, left_input=5783, right_input=7448, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=6875","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=6875, right_input=2704, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=434, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=3201","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1452, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=6079","layer":4},{"info":"compute unary expreesion, input=6079, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=80126554","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=80126554, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-480755938","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-480755938, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, 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":11,"result_base":11,"text":"⋰*⋻AA7⪪⋰*⋻891⋭≵⋰*⋻2360⪛⋰*⋻2342⫌⩉⩟⋰*⋻3121⪥⋰*⋻3732⨸⪁(⋰*⋻933⋷⋰*⋻5287)⫡⨏⋰*⋻4388⇄⋰*⋻5661⪨⊡⋰*⋻5190⊱⇼⊻⋰*⋻2039⊍⩺⋍(⋰*⋻2450⪔⋰*⋻1100)⊉↱≁(⋰*⋻4627⨲∙)=NaN","reverse_text":"NaN=⋰*⋻AA7⪪⋰*⋻891⋭≵⋰*⋻2360⪛⋰*⋻2342⫌⩉⩟⋰*⋻3121⪥⋰*⋻3732⨸⪁(⋰*⋻933⋷⋰*⋻5287)⫡⨏⋰*⋻4388⇄⋰*⋻5661⪨⊡⋰*⋻5190⊱⇼⊻⋰*⋻2039⊍⩺⋍(⋰*⋻2450⪔⋰*⋻1100)⊉↱≁(⋰*⋻4627⨲∙)","cot":[{"info":"⋰*⋻AA7⪪⋰*⋻891=⋰*⋻-124676","layer":3},{"info":"⋰*⋻2360⪛⋰*⋻2342=⋰*⋻19","layer":3},{"info":"⋰*⋻-124676⋭≵⋰*⋻19=⋰*⋻61","layer":2},{"info":"⋰*⋻3121⪥⋰*⋻3732=⋰*⋻14A23","layer":3},{"info":"⋰*⋻933⋷⋰*⋻5287=⋰*⋻9730","layer":3},{"info":"⋰*⋻14A23⨸⪁⋰*⋻9730=⋰*⋻471A6","layer":2},{"info":"⋰*⋻61⫌⩉⩟⋰*⋻471A6=⋰*⋻-46","layer":1},{"info":"⋰*⋻4388⇄⋰*⋻5661=⋰*⋻0","layer":3},{"info":"⋰*⋻5190⊱⇼⊻⋰*⋻2039=⋰*⋻365","layer":3},{"info":"⋰*⋻0⪨⊡⋰*⋻365=⋰*⋻0","layer":2},{"info":"⋰*⋻2450⪔⋰*⋻1100=⋰*⋻37A","layer":3},{"info":"⋰*⋻4627⨲∙=⋰*⋻412582A2","layer":3},{"info":"⋰*⋻37A⊉↱≁⋰*⋻412582A2=⋰*⋻-227413063","layer":2},{"info":"⋰*⋻0⊍⩺⋍⋰*⋻-227413063=NaN","layer":1},{"info":"⋰*⋻-46⫡⨏NaN=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"∓(($3461$%$1019$)⊬⨰($1250$+⪬∐$4745$))⩖⊿((∡$2700$)⪔($3851$⫌⩹⨱))","expression":"∓((⋰*⋻2667%⋰*⋻847)⊬⨰(⋰*⋻A37+⪬∐⋰*⋻3624))⩖⊿((∡⋰*⋻2035)⪔(⋰*⋻2991⫌⩹⨱))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9259,"operation_count":8,"complexity_ratio":1157.375,"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":3461,"base":11},"right_expr":{"type":"numeric_atoms","value":1019,"base":11}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1250,"base":11},"right_expr":{"type":"numeric_atoms","value":4745,"base":11}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2700,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3851,"base":11}}}}},"used_operators":["OwUj7dcsQK","RZ5CV9rWsJ","s3Fd5m9Dh2","k8jYdgA6NY","2GS7woTJqF","GjBEYRfMaF","pRsWfj4Fpp","EBcxylXtPf"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋰*⋻-140A7","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3461","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=1019, op_id = k8jYdgA6NY binary_op_definition= 'None', output=404","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=4745","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=4745, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3750","layer":3},{"info":"compute binary expreesion, left_input=404, right_input=-3750, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-14192","layer":2},{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2700","layer":3},{"info":"number node, value=3851","layer":4},{"info":"compute unary expreesion, input=3851, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9103","layer":3},{"info":"compute binary expreesion, left_input=-2700, right_input=9103, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=-14192, right_input=450, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1014","layer":1},{"info":"compute unary expreesion, input=1014, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-20082","layer":0}],"base":11,"result_base":11,"text":"∓((⋰*⋻2667%⋰*⋻847)⊬⨰(⋰*⋻A37+⪬∐⋰*⋻3624))⩖⊿((∡⋰*⋻2035)⪔(⋰*⋻2991⫌⩹⨱))=⋰*⋻-140A7","reverse_text":"⋰*⋻-140A7=∓((⋰*⋻2667%⋰*⋻847)⊬⨰(⋰*⋻A37+⪬∐⋰*⋻3624))⩖⊿((∡⋰*⋻2035)⪔(⋰*⋻2991⫌⩹⨱))","cot":[{"info":"⋰*⋻2667%⋰*⋻847=⋰*⋻338","layer":3},{"info":"⋰*⋻A37+⪬∐⋰*⋻3624=⋰*⋻-28AA","layer":3},{"info":"⋰*⋻338⊬⨰⋰*⋻-28AA=⋰*⋻-A732","layer":2},{"info":"∡⋰*⋻2035=⋰*⋻-2035","layer":3},{"info":"⋰*⋻2991⫌⩹⨱=⋰*⋻6926","layer":3},{"info":"⋰*⋻-2035⪔⋰*⋻6926=⋰*⋻37A","layer":2},{"info":"⋰*⋻-A732⩖⊿⋰*⋻37A=⋰*⋻842","layer":1},{"info":"∓⋰*⋻842=⋰*⋻-140A7","layer":0}]}
{"id":888,"expression_no_base_symbol":"⩩((∂⩏⊆($7478$⋻⩜⩜$5391$))∺≝⩲((⇖⫷⫕$3063$)⫳≱↱$6710$↳∿⪆$1301$))","expression":"⩩((∂⩏⊆(⋰*⋻5689⋻⩜⩜⋰*⋻4061))∺≝⩲((⇖⫷⫕⋰*⋻2335)⫳≱↱⋰*⋻5050↳∿⪆⋰*⋻A83))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":105396,"operation_count":7,"complexity_ratio":15056.57142857143,"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":7478,"base":11},"right_expr":{"type":"numeric_atoms","value":5391,"base":11}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3063,"base":11}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6710,"base":11},"right_expr":{"type":"numeric_atoms","value":1301,"base":11}}}}},"used_operators":["kMhfGuqI2H","KPf6cnQVty","8WDwsbhb0R","oDCm7WA9JY","ZvLB05nZmT","UHmRx3INFg","Cw4SuJJGHO"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","14qkJME0vr","eLAdDNolq6","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7478","layer":4},{"info":"number node, value=5391","layer":4},{"info":"compute binary expreesion, left_input=7478, right_input=5391, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=14956","layer":3},{"info":"compute unary expreesion, input=14956, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-44947","layer":2},{"info":"number node, value=3063","layer":4},{"info":"compute unary expreesion, input=3063, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=6710","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=6710, right_input=1301, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=-44947, right_input=-204, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩩((∂⩏⊆(⋰*⋻5689⋻⩜⩜⋰*⋻4061))∺≝⩲((⇖⫷⫕⋰*⋻2335)⫳≱↱⋰*⋻5050↳∿⪆⋰*⋻A83))=NaN","reverse_text":"NaN=⩩((∂⩏⊆(⋰*⋻5689⋻⩜⩜⋰*⋻4061))∺≝⩲((⇖⫷⫕⋰*⋻2335)⫳≱↱⋰*⋻5050↳∿⪆⋰*⋻A83))","cot":[{"info":"⋰*⋻5689⋻⩜⩜⋰*⋻4061=⋰*⋻10267","layer":3},{"info":"∂⩏⊆⋰*⋻10267=⋰*⋻-30851","layer":2},{"info":"⇖⫷⫕⋰*⋻2335=⋰*⋻2136","layer":3},{"info":"⋰*⋻5050↳∿⪆⋰*⋻A83=NaN","layer":3},{"info":"⋰*⋻2136⫳≱↱NaN=⋰*⋻-176","layer":2},{"info":"⋰*⋻-30851∺≝⩲⋰*⋻-176=⋰*⋻136","layer":1},{"info":"⩩⋰*⋻136=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"((∓⪦$5570$)⫗⊷⫓($1250$⨰$1819$)⊲⩕⊾($1137$⋷$5092$)⊮⊟↴(≯$8842$))⇍⊗(($1739$⫗⊷⫓$5281$⨔≚≋(↨$2994$))⩧⪆($4452$⪘⫢$2072$∁))","expression":"((∓⪦⋰*⋻4204)⫗⊷⫓(⋰*⋻A37⨰⋰*⋻1404)⊲⩕⊾(⋰*⋻944⋷⋰*⋻390A)⊮⊟↴(≯⋰*⋻6709))⇍⊗((⋰*⋻1341⫗⊷⫓⋰*⋻3A71⨔≚≋(↨⋰*⋻2282))⩧⪆(⋰*⋻3388⪘⫢⋰*⋻1614∁))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":436504,"operation_count":14,"complexity_ratio":31178.85714285714,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5570,"base":11}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1250,"base":11},"right_expr":{"type":"numeric_atoms","value":1819,"base":11}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1137,"base":11},"right_expr":{"type":"numeric_atoms","value":5092,"base":11}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":8842,"base":11}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1739,"base":11},"right_expr":{"type":"numeric_atoms","value":5281,"base":11}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2994,"base":11}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4452,"base":11},"right_expr":{"type":"numeric_atoms","value":2072,"base":11}}}}},"used_operators":["5uvYHDjeKN","DmTXOeWf9t","zashukvMKz","D309nIvmXG","eewbuw0ToL","QDVgd2eftb","23Mk6UjR3U","keWfFq85dY","Ikt5ks8PT7","Z57zeUYC9z","jiX4gk2v2Q","jdwGQqwJi5","oacrs7FA3X"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","JLbD19bQDL","eewbuw0ToL","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rGHVDoGpnC","oZj3VtZNQx","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⋰*⋻-202","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=5570","layer":4},{"info":"compute unary expreesion, input=5570, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5162","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=1819, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-559","layer":3},{"info":"compute binary expreesion, left_input=5162, right_input=-559, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1137","layer":4},{"info":"number node, value=5092","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=5092, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9047","layer":3},{"info":"number node, value=8842","layer":4},{"info":"compute unary expreesion, input=8842, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9047, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=7994","layer":1},{"info":"number node, value=1739","layer":4},{"info":"number node, value=5281","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=5281, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2994","layer":4},{"info":"compute unary expreesion, input=2994, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"number node, value=4452","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=2072, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8780","layer":3},{"info":"compute unary expreesion, input=8780, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=8780","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8780, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-8780","layer":1},{"info":"compute binary expreesion, left_input=7994, right_input=-8780, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":11,"result_base":11,"text":"((∓⪦⋰*⋻4204)⫗⊷⫓(⋰*⋻A37⨰⋰*⋻1404)⊲⩕⊾(⋰*⋻944⋷⋰*⋻390A)⊮⊟↴(≯⋰*⋻6709))⇍⊗((⋰*⋻1341⫗⊷⫓⋰*⋻3A71⨔≚≋(↨⋰*⋻2282))⩧⪆(⋰*⋻3388⪘⫢⋰*⋻1614∁))=⋰*⋻-202","reverse_text":"⋰*⋻-202=((∓⪦⋰*⋻4204)⫗⊷⫓(⋰*⋻A37⨰⋰*⋻1404)⊲⩕⊾(⋰*⋻944⋷⋰*⋻390A)⊮⊟↴(≯⋰*⋻6709))⇍⊗((⋰*⋻1341⫗⊷⫓⋰*⋻3A71⨔≚≋(↨⋰*⋻2282))⩧⪆(⋰*⋻3388⪘⫢⋰*⋻1614∁))","cot":[{"info":"∓⪦⋰*⋻4204=⋰*⋻3973","layer":3},{"info":"⋰*⋻A37⨰⋰*⋻1404=⋰*⋻-469","layer":3},{"info":"⋰*⋻3973⫗⊷⫓⋰*⋻-469=⋰*⋻-112","layer":2},{"info":"⋰*⋻944⋷⋰*⋻390A=⋰*⋻6885","layer":3},{"info":"≯⋰*⋻6709=⋰*⋻0","layer":3},{"info":"⋰*⋻6885⊮⊟↴⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-112⊲⩕⊾⋰*⋻0=⋰*⋻6008","layer":1},{"info":"⋰*⋻1341⫗⊷⫓⋰*⋻3A71=⋰*⋻-112","layer":3},{"info":"↨⋰*⋻2282=NaN","layer":3},{"info":"⋰*⋻-112⨔≚≋NaN=NaN","layer":2},{"info":"⋰*⋻3388⪘⫢⋰*⋻1614=⋰*⋻6662","layer":3},{"info":"⋰*⋻6662∁=⋰*⋻6662","layer":2},{"info":"NaN⩧⪆⋰*⋻6662=⋰*⋻-6662","layer":1},{"info":"⋰*⋻6008⇍⊗⋰*⋻-6662=⋰*⋻-202","layer":0}]}
{"id":890,"expression_no_base_symbol":"($1088$⪮%⊝$4803$⩧⪆($5584$⇔⨋)⨹)⨘","expression":"(⋰*⋻8AA⪮%⊝⋰*⋻3677⩧⪆(⋰*⋻4217⇔⨋)⨹)⨘","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3265,"operation_count":5,"complexity_ratio":653.0,"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":1088,"base":11},"right_expr":{"type":"numeric_atoms","value":4803,"base":11}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":5584,"base":11}}}}},"used_operators":["ljcfZBUpm8","UnCoSGIALn","Ikt5ks8PT7","IWmyXbctLI","uBihLCJcMX"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","mp7IySMOzn","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=4803","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=4803, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2492","layer":3},{"info":"number node, value=5584","layer":4},{"info":"compute unary expreesion, input=5584, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=32434","layer":3},{"info":"compute binary expreesion, left_input=2492, right_input=32434, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-32434","layer":2},{"info":"compute unary expreesion, input=-32434, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻8AA⪮%⊝⋰*⋻3677⩧⪆(⋰*⋻4217⇔⨋)⨹)⨘=NaN","reverse_text":"NaN=(⋰*⋻8AA⪮%⊝⋰*⋻3677⩧⪆(⋰*⋻4217⇔⨋)⨹)⨘","cot":[{"info":"⋰*⋻8AA⪮%⊝⋰*⋻3677=⋰*⋻1966","layer":3},{"info":"⋰*⋻4217⇔⨋=⋰*⋻22406","layer":3},{"info":"⋰*⋻1966⩧⪆⋰*⋻22406=⋰*⋻-22406","layer":2},{"info":"⋰*⋻-22406⨹=NaN","layer":1},{"info":"NaN⨘=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"⊿(($1712$⨰$1732$)⇌⫙⪟$5222$⇻⋧≁$1169$)≴⪞⇿($1341$⋣⋖$1360$⊍⩺⋍$4245$⊴$6482$)","expression":"⊿((⋰*⋻1317⨰⋰*⋻1335)⇌⫙⪟⋰*⋻3A18⇻⋧≁⋰*⋻973)≴⪞⇿(⋰*⋻100A⋣⋖⋰*⋻1027⊍⩺⋍⋰*⋻320A⊴⋰*⋻4963)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14048,"operation_count":8,"complexity_ratio":1756.0,"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":1712,"base":11},"right_expr":{"type":"numeric_atoms","value":1732,"base":11}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5222,"base":11},"right_expr":{"type":"numeric_atoms","value":1169,"base":11}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1341,"base":11},"right_expr":{"type":"numeric_atoms","value":1360,"base":11}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4245,"base":11},"right_expr":{"type":"numeric_atoms","value":6482,"base":11}}}}},"used_operators":["DO4fhlbJSI","lvlrscuwVU","AFVx7xoS7T","eewbuw0ToL","jCPkEVoL5K","OXDGMFPWZM","J0M6qkBnIM","Nsiff2A1zJ"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","dWAJyo7jo9","14qkJME0vr"],"result":"⋰*⋻-17433044","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1732, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-10","layer":3},{"info":"number node, value=5222","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=5222, right_input=1169, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=-447, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=2291","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1360, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1341","layer":3},{"info":"number node, value=4245","layer":4},{"info":"number node, value=6482","layer":4},{"info":"compute binary expreesion, left_input=4245, right_input=6482, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1341, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2291, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=8144882","layer":1},{"info":"compute unary expreesion, input=8144882, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-32580266","layer":0}],"base":11,"result_base":11,"text":"⊿((⋰*⋻1317⨰⋰*⋻1335)⇌⫙⪟⋰*⋻3A18⇻⋧≁⋰*⋻973)≴⪞⇿(⋰*⋻100A⋣⋖⋰*⋻1027⊍⩺⋍⋰*⋻320A⊴⋰*⋻4963)=⋰*⋻-17433044","reverse_text":"⋰*⋻-17433044=⊿((⋰*⋻1317⨰⋰*⋻1335)⇌⫙⪟⋰*⋻3A18⇻⋧≁⋰*⋻973)≴⪞⇿(⋰*⋻100A⋣⋖⋰*⋻1027⊍⩺⋍⋰*⋻320A⊴⋰*⋻4963)","cot":[{"info":"⋰*⋻1317⨰⋰*⋻1335=⋰*⋻-A","layer":3},{"info":"⋰*⋻3A18⇻⋧≁⋰*⋻973=⋰*⋻-377","layer":3},{"info":"⋰*⋻-A⇌⫙⪟⋰*⋻-377=⋰*⋻17A3","layer":2},{"info":"⋰*⋻100A⋣⋖⋰*⋻1027=⋰*⋻100A","layer":3},{"info":"⋰*⋻320A⊴⋰*⋻4963=NaN","layer":3},{"info":"⋰*⋻100A⊍⩺⋍NaN=NaN","layer":2},{"info":"⋰*⋻17A3≴⪞⇿NaN=⋰*⋻4663409","layer":1},{"info":"⊿⋰*⋻4663409=⋰*⋻-17433044","layer":0}]}
{"id":892,"expression_no_base_symbol":"($1463$⫁⪎$1697$∑⇟⊟($1073$⫲≸⪮$1181$))⪒⊣⊆(($5125$⨟⋌⩍$7853$)⫉⨲⊜($2236$⊬⨰$2842$))⇄(≱⇩⩕(⫯($1016$∽$3303$)))","expression":"(⋰*⋻1110⫁⪎⋰*⋻1303∑⇟⊟(⋰*⋻896⫲≸⪮⋰*⋻984))⪒⊣⊆((⋰*⋻393A⨟⋌⩍⋰*⋻599A)⫉⨲⊜(⋰*⋻1753⊬⨰⋰*⋻2154))⇄(≱⇩⩕(⫯(⋰*⋻844∽⋰*⋻2533)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1195,"operation_count":11,"complexity_ratio":108.63636363636364,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1463,"base":11},"right_expr":{"type":"numeric_atoms","value":1697,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1073,"base":11},"right_expr":{"type":"numeric_atoms","value":1181,"base":11}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5125,"base":11},"right_expr":{"type":"numeric_atoms","value":7853,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2236,"base":11},"right_expr":{"type":"numeric_atoms","value":2842,"base":11}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":3303,"base":11}}}}},"used_operators":["3EYGwJThht","eRqsBgTDFp","U7g4x0WXJJ","xRrnTEsQ6j","P3lXMJvFrc","WhqkvtTD3t","rGHVDoGpnC","s3Fd5m9Dh2","3DZMoQKiUl","H6BK1Evt7c","y4ImoPnbV5"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eewbuw0ToL","zVYPLywUTj","Tcnh7f0tEr","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=1697, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-234","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1181, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1073","layer":3},{"info":"compute binary expreesion, left_input=-234, right_input=1073, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5125","layer":4},{"info":"number node, value=7853","layer":4},{"info":"compute binary expreesion, left_input=5125, right_input=7853, 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=2236","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=2842, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12548","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12548, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":1},{"info":"number node, value=1016","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=3303, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14811","layer":3},{"info":"compute unary expreesion, input=-14811, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=399038","layer":2},{"info":"compute unary expreesion, input=399038, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1110⫁⪎⋰*⋻1303∑⇟⊟(⋰*⋻896⫲≸⪮⋰*⋻984))⪒⊣⊆((⋰*⋻393A⨟⋌⩍⋰*⋻599A)⫉⨲⊜(⋰*⋻1753⊬⨰⋰*⋻2154))⇄(≱⇩⩕(⫯(⋰*⋻844∽⋰*⋻2533)))=NaN","reverse_text":"NaN=(⋰*⋻1110⫁⪎⋰*⋻1303∑⇟⊟(⋰*⋻896⫲≸⪮⋰*⋻984))⪒⊣⊆((⋰*⋻393A⨟⋌⩍⋰*⋻599A)⫉⨲⊜(⋰*⋻1753⊬⨰⋰*⋻2154))⇄(≱⇩⩕(⫯(⋰*⋻844∽⋰*⋻2533)))","cot":[{"info":"⋰*⋻1110⫁⪎⋰*⋻1303=⋰*⋻-1A3","layer":3},{"info":"⋰*⋻896⫲≸⪮⋰*⋻984=⋰*⋻896","layer":3},{"info":"⋰*⋻-1A3∑⇟⊟⋰*⋻896=NaN","layer":2},{"info":"⋰*⋻393A⨟⋌⩍⋰*⋻599A=NaN","layer":3},{"info":"⋰*⋻1753⊬⨰⋰*⋻2154=⋰*⋻9478","layer":3},{"info":"NaN⫉⨲⊜⋰*⋻9478=NaN","layer":2},{"info":"NaN⪒⊣⊆NaN=NaN","layer":1},{"info":"⋰*⋻844∽⋰*⋻2533=⋰*⋻-10145","layer":3},{"info":"⫯⋰*⋻-10145=⋰*⋻252892","layer":2},{"info":"≱⇩⩕⋰*⋻252892=⋰*⋻A3","layer":1},{"info":"NaN⇄⋰*⋻A3=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"($3211$∕⩚$1772$)⨔≚≋$5086$⩖⊿$1455$⨎($3856$⋻⩜⩜$1396$≬⋮$2359$⨐$2297$)⪎⩰","expression":"(⋰*⋻245A∕⩚⋰*⋻1371)⨔≚≋⋰*⋻3904⩖⊿⋰*⋻1103⨎(⋰*⋻2996⋻⩜⩜⋰*⋻105A≬⋮⋰*⋻1855⨐⋰*⋻17A9)⪎⩰","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22860,"operation_count":8,"complexity_ratio":2857.5,"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":3211,"base":11},"right_expr":{"type":"numeric_atoms","value":1772,"base":11}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":5086,"base":11},"right_expr":{"type":"numeric_atoms","value":1455,"base":11}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3856,"base":11},"right_expr":{"type":"numeric_atoms","value":1396,"base":11}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2359,"base":11},"right_expr":{"type":"numeric_atoms","value":2297,"base":11}}}}},"used_operators":["2ufhKmSs5H","rJVOvQCfKK","Z57zeUYC9z","z9ffQ9n5Zr","RZ5CV9rWsJ","kbkesczE7y","oDCm7WA9JY","Noe24qw2ks"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⋰*⋻-31","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3211","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=1772, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3214","layer":3},{"info":"number node, value=5086","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=5086, right_input=1455, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-8786","layer":3},{"info":"compute binary expreesion, left_input=-3214, right_input=-8786, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=118952","layer":2},{"info":"number node, value=3856","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=3856, right_input=1396, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7712","layer":3},{"info":"number node, value=2359","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=2297, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4718","layer":3},{"info":"compute binary expreesion, left_input=7712, right_input=-4718, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=118952, right_input=868, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻245A∕⩚⋰*⋻1371)⨔≚≋⋰*⋻3904⩖⊿⋰*⋻1103⨎(⋰*⋻2996⋻⩜⩜⋰*⋻105A≬⋮⋰*⋻1855⨐⋰*⋻17A9)⪎⩰=⋰*⋻-31","reverse_text":"⋰*⋻-31=(⋰*⋻245A∕⩚⋰*⋻1371)⨔≚≋⋰*⋻3904⩖⊿⋰*⋻1103⨎(⋰*⋻2996⋻⩜⩜⋰*⋻105A≬⋮⋰*⋻1855⨐⋰*⋻17A9)⪎⩰","cot":[{"info":"⋰*⋻245A∕⩚⋰*⋻1371=⋰*⋻-2462","layer":3},{"info":"⋰*⋻3904⩖⊿⋰*⋻1103=⋰*⋻-6668","layer":3},{"info":"⋰*⋻-2462⨔≚≋⋰*⋻-6668=⋰*⋻81409","layer":2},{"info":"⋰*⋻2996⋻⩜⩜⋰*⋻105A=⋰*⋻5881","layer":3},{"info":"⋰*⋻1855⨐⋰*⋻17A9=⋰*⋻-35AA","layer":3},{"info":"⋰*⋻5881≬⋮⋰*⋻-35AA=⋰*⋻71A","layer":2},{"info":"⋰*⋻81409⨎⋰*⋻71A=⋰*⋻71A","layer":1},{"info":"⋰*⋻71A⪎⩰=⋰*⋻-31","layer":0}]}
{"id":894,"expression_no_base_symbol":"(((↩$1064$)-$1447$⫸⊐$4191$)↓⨍⋜)⩌⋺(($5565$⪶≀⋏$1838$)≝⊿$1091$↓$6012$)∊∟⩊($4491$⩌⋺$1003$∇⊂⋱($7849$≹⇙⪍$1542$))","expression":"(((↩⋰*⋻888)-⋰*⋻10A6⫸⊐⋰*⋻3170)↓⨍⋜)⩌⋺((⋰*⋻41AA⪶≀⋏⋰*⋻1421)≝⊿⋰*⋻902↓⋰*⋻4576)∊∟⩊(⋰*⋻3413⩌⋺⋰*⋻832∇⊂⋱(⋰*⋻5996≹⇙⪍⋰*⋻1182))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":85219,"operation_count":12,"complexity_ratio":7101.583333333333,"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":1064,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1447,"base":11},"right_expr":{"type":"numeric_atoms","value":4191,"base":11}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5565,"base":11},"right_expr":{"type":"numeric_atoms","value":1838,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1091,"base":11},"right_expr":{"type":"numeric_atoms","value":6012,"base":11}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4491,"base":11},"right_expr":{"type":"numeric_atoms","value":1003,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7849,"base":11},"right_expr":{"type":"numeric_atoms","value":1542,"base":11}}}}},"used_operators":["g7Hmc5v1ko","3DVzLFNsE9","rysDP5nf3Z","jLgFTUHLKL","mqXw5SEYmG","ddLRYrp01A","OKKcZfAt5B","zR4jO40bMj","Af076pWI7l","nhYeJWJD5X","AHs5Up7iyr"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","dWAJyo7jo9"],"result":"⋰*⋻-87667A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5732","layer":3},{"info":"number node, value=1447","layer":4},{"info":"number node, value=4191","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=4191, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16639","layer":3},{"info":"compute binary expreesion, left_input=-5732, right_input=16639, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-22371","layer":2},{"info":"compute unary expreesion, input=-22371, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=1399533","layer":1},{"info":"number node, value=5565","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=5565, right_input=1838, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-20603","layer":3},{"info":"number node, value=1091","layer":4},{"info":"number node, value=6012","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=6012, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-20603, right_input=-134, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=20338","layer":2},{"info":"number node, value=4491","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=4491, right_input=1003, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5615","layer":3},{"info":"number node, value=7849","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=7849, right_input=1542, 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=-5615, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20338, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=40","layer":1},{"info":"compute binary expreesion, left_input=1399533, right_input=40, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-1399694","layer":0}],"base":11,"result_base":11,"text":"(((↩⋰*⋻888)-⋰*⋻10A6⫸⊐⋰*⋻3170)↓⨍⋜)⩌⋺((⋰*⋻41AA⪶≀⋏⋰*⋻1421)≝⊿⋰*⋻902↓⋰*⋻4576)∊∟⩊(⋰*⋻3413⩌⋺⋰*⋻832∇⊂⋱(⋰*⋻5996≹⇙⪍⋰*⋻1182))=⋰*⋻-87667A","reverse_text":"⋰*⋻-87667A=(((↩⋰*⋻888)-⋰*⋻10A6⫸⊐⋰*⋻3170)↓⨍⋜)⩌⋺((⋰*⋻41AA⪶≀⋏⋰*⋻1421)≝⊿⋰*⋻902↓⋰*⋻4576)∊∟⩊(⋰*⋻3413⩌⋺⋰*⋻832∇⊂⋱(⋰*⋻5996≹⇙⪍⋰*⋻1182))","cot":[{"info":"↩⋰*⋻888=⋰*⋻-4341","layer":3},{"info":"⋰*⋻10A6⫸⊐⋰*⋻3170=⋰*⋻11557","layer":3},{"info":"⋰*⋻-4341-⋰*⋻11557=⋰*⋻-15898","layer":2},{"info":"⋰*⋻-15898↓⨍⋜=⋰*⋻876543","layer":1},{"info":"⋰*⋻41AA⪶≀⋏⋰*⋻1421=⋰*⋻-14530","layer":3},{"info":"⋰*⋻902↓⋰*⋻4576=⋰*⋻-112","layer":3},{"info":"⋰*⋻-14530≝⊿⋰*⋻-112=⋰*⋻1430A","layer":2},{"info":"⋰*⋻3413⩌⋺⋰*⋻832=⋰*⋻-4245","layer":3},{"info":"⋰*⋻5996≹⇙⪍⋰*⋻1182=NaN","layer":3},{"info":"⋰*⋻-4245∇⊂⋱NaN=NaN","layer":2},{"info":"⋰*⋻1430A∊∟⩊NaN=⋰*⋻37","layer":1},{"info":"⋰*⋻876543⩌⋺⋰*⋻37=⋰*⋻-87667A","layer":0}]}
{"id":895,"expression_no_base_symbol":"(⊄⩳↩(≔$1392$))⪔($5844$⨚$1748$)⨜⨶($3113$⪒⊣⊆$3585$)⊋≦⊧($1893$⪮%⊝$6399$)⊮⊟↴($1384$⨟⋌⩍$1656$)↹⊜((⫟$4076$)⨲∙)","expression":"(⊄⩳↩(≔⋰*⋻1056))⪔(⋰*⋻4433⨚⋰*⋻134A)⨜⨶(⋰*⋻2380⪒⊣⊆⋰*⋻276A)⊋≦⊧(⋰*⋻1471⪮%⊝⋰*⋻4898)⊮⊟↴(⋰*⋻1049⨟⋌⩍⋰*⋻1276)↹⊜((⫟⋰*⋻3076)⨲∙)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":171042,"operation_count":13,"complexity_ratio":13157.076923076924,"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":1392,"base":11}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":5844,"base":11},"right_expr":{"type":"numeric_atoms","value":1748,"base":11}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3113,"base":11},"right_expr":{"type":"numeric_atoms","value":3585,"base":11}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1893,"base":11},"right_expr":{"type":"numeric_atoms","value":6399,"base":11}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1384,"base":11},"right_expr":{"type":"numeric_atoms","value":1656,"base":11}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":4076,"base":11}}}}},"used_operators":["oRDoc9rAEX","GjBEYRfMaF","8w2t5hMYqp","8FLs4eVsLt","HiPekx5b7W","nREPSIbpBE","eRqsBgTDFp","9bazX3JMtO","QDVgd2eftb","IWmyXbctLI","rGHVDoGpnC","cRahaglYVE","z4E1FaHLuy"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-37682","layer":3},{"info":"compute unary expreesion, input=-37682, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=113046","layer":2},{"info":"number node, value=5844","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=5844, right_input=1748, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=5630","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=3585","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=3585, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6226","layer":3},{"info":"compute binary expreesion, left_input=5630, right_input=6226, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-12196","layer":2},{"info":"compute binary expreesion, left_input=113046, right_input=-12196, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=1893","layer":4},{"info":"number node, value=6399","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=6399, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4102","layer":3},{"info":"number node, value=1384","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1384, right_input=1656, 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=4102, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"number node, value=4076","layer":4},{"info":"compute unary expreesion, input=4076, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-11321","layer":3},{"info":"compute unary expreesion, input=-11321, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⊄⩳↩(≔⋰*⋻1056))⪔(⋰*⋻4433⨚⋰*⋻134A)⨜⨶(⋰*⋻2380⪒⊣⊆⋰*⋻276A)⊋≦⊧(⋰*⋻1471⪮%⊝⋰*⋻4898)⊮⊟↴(⋰*⋻1049⨟⋌⩍⋰*⋻1276)↹⊜((⫟⋰*⋻3076)⨲∙)=NaN","reverse_text":"NaN=(⊄⩳↩(≔⋰*⋻1056))⪔(⋰*⋻4433⨚⋰*⋻134A)⨜⨶(⋰*⋻2380⪒⊣⊆⋰*⋻276A)⊋≦⊧(⋰*⋻1471⪮%⊝⋰*⋻4898)⊮⊟↴(⋰*⋻1049⨟⋌⩍⋰*⋻1276)↹⊜((⫟⋰*⋻3076)⨲∙)","cot":[{"info":"≔⋰*⋻1056=⋰*⋻-26347","layer":3},{"info":"⊄⩳↩⋰*⋻-26347=⋰*⋻77A2A","layer":2},{"info":"⋰*⋻4433⨚⋰*⋻134A=⋰*⋻4259","layer":3},{"info":"⋰*⋻2380⪒⊣⊆⋰*⋻276A=⋰*⋻4750","layer":3},{"info":"⋰*⋻4259⨜⨶⋰*⋻4750=⋰*⋻-9188","layer":2},{"info":"⋰*⋻77A2A⪔⋰*⋻-9188=⋰*⋻37A","layer":1},{"info":"⋰*⋻1471⪮%⊝⋰*⋻4898=⋰*⋻309A","layer":3},{"info":"⋰*⋻1049⨟⋌⩍⋰*⋻1276=NaN","layer":3},{"info":"⋰*⋻309A⊮⊟↴NaN=NaN","layer":2},{"info":"⫟⋰*⋻3076=⋰*⋻-8562","layer":3},{"info":"⋰*⋻-8562⨲∙=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"⋰*⋻37A⊋≦⊧NaN=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"($2222$↳∿⪆$8395$⫡⨏$1641$∝$3932$)⋹⋡⊁$1209$≁↽≥$4843$⇻⋧≁($4552$↺$1573$)≨((⨈⪑($1688$⊭∹↮))⪉⨛(↪⫪⫘(⪫⨮⊛$1575$)))","expression":"(⋰*⋻1740↳∿⪆⋰*⋻6342⫡⨏⋰*⋻1262∝⋰*⋻2A55)⋹⋡⊁⋰*⋻9AA≁↽≥⋰*⋻3703⇻⋧≁(⋰*⋻3469↺⋰*⋻1200)≨((⨈⪑(⋰*⋻12A5⊭∹↮))⪉⨛(↪⫪⫘(⪫⨮⊛⋰*⋻1202)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":973893,"operation_count":13,"complexity_ratio":74914.84615384616,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2222,"base":11},"right_expr":{"type":"numeric_atoms","value":8395,"base":11}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1641,"base":11},"right_expr":{"type":"numeric_atoms","value":3932,"base":11}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1209,"base":11},"right_expr":{"type":"numeric_atoms","value":4843,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4552,"base":11},"right_expr":{"type":"numeric_atoms","value":1573,"base":11}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1688,"base":11}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1575,"base":11}}}}},"used_operators":["0KMCeP1Jsh","As8RqfVLgs","QMFrweE19q","Cw4SuJJGHO","cTDWOvIxvz","jCPkEVoL5K","ncHt1X6cMc","7j4O788W3g","EWw2JM7wp4","mp94q5OcYM","xNBdhnnwKq","9dWsAM3GFt","w5FWba1tyO"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2222","layer":4},{"info":"number node, value=8395","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=8395, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1641","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=3932, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1646","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1646, 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=1209","layer":4},{"info":"number node, value=4843","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=4843, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28067","layer":3},{"info":"number node, value=4552","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=4552, right_input=1573, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1573","layer":3},{"info":"compute binary expreesion, left_input=28067, right_input=1573, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":1},{"info":"number node, value=1688","layer":4},{"info":"compute unary expreesion, input=1688, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3376","layer":3},{"info":"compute unary expreesion, input=3376, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=1575","layer":4},{"info":"compute unary expreesion, input=1575, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1740↳∿⪆⋰*⋻6342⫡⨏⋰*⋻1262∝⋰*⋻2A55)⋹⋡⊁⋰*⋻9AA≁↽≥⋰*⋻3703⇻⋧≁(⋰*⋻3469↺⋰*⋻1200)≨((⨈⪑(⋰*⋻12A5⊭∹↮))⪉⨛(↪⫪⫘(⪫⨮⊛⋰*⋻1202)))=NaN","reverse_text":"NaN=(⋰*⋻1740↳∿⪆⋰*⋻6342⫡⨏⋰*⋻1262∝⋰*⋻2A55)⋹⋡⊁⋰*⋻9AA≁↽≥⋰*⋻3703⇻⋧≁(⋰*⋻3469↺⋰*⋻1200)≨((⨈⪑(⋰*⋻12A5⊭∹↮))⪉⨛(↪⫪⫘(⪫⨮⊛⋰*⋻1202)))","cot":[{"info":"⋰*⋻1740↳∿⪆⋰*⋻6342=NaN","layer":3},{"info":"⋰*⋻1262∝⋰*⋻2A55=⋰*⋻1267","layer":3},{"info":"NaN⫡⨏⋰*⋻1267=NaN","layer":2},{"info":"⋰*⋻9AA≁↽≥⋰*⋻3703=⋰*⋻1A0A6","layer":3},{"info":"⋰*⋻3469↺⋰*⋻1200=⋰*⋻1200","layer":3},{"info":"⋰*⋻1A0A6⇻⋧≁⋰*⋻1200=⋰*⋻-377","layer":2},{"info":"NaN⋹⋡⊁⋰*⋻-377=NaN","layer":1},{"info":"⋰*⋻12A5⊭∹↮=⋰*⋻259A","layer":3},{"info":"⨈⪑⋰*⋻259A=⋰*⋻71A","layer":2},{"info":"⪫⨮⊛⋰*⋻1202=NaN","layer":3},{"info":"↪⫪⫘NaN=NaN","layer":2},{"info":"⋰*⋻71A⪉⨛NaN=NaN","layer":1},{"info":"NaN≨NaN=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"≔((($3044$⨭⪣$5269$)⊲⩕⊾(⊑$1039$))⪚(⊈($5251$-$2791$)))","expression":"≔(((⋰*⋻2318⨭⪣⋰*⋻3A60)⊲⩕⊾(⊑⋰*⋻865))⪚(⊈(⋰*⋻3A44-⋰*⋻2108)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":525,"operation_count":7,"complexity_ratio":75.0,"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":3044,"base":11},"right_expr":{"type":"numeric_atoms","value":5269,"base":11}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1039,"base":11}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5251,"base":11},"right_expr":{"type":"numeric_atoms","value":2791,"base":11}}}}},"used_operators":["8FLs4eVsLt","HrjLwUk87U","DmTXOeWf9t","kn8WO9XteQ","IkUmn0D7oy","RHru8klgy8","rysDP5nf3Z"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","12rbrZMWeM","xUOZtlo3hN"],"result":"⋰*⋻-917830","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3044","layer":4},{"info":"number node, value=5269","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=5269, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1765","layer":3},{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=1765, right_input=192, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-26790","layer":2},{"info":"number node, value=5251","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=5251, right_input=2791, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2460","layer":3},{"info":"compute unary expreesion, input=2460, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2634","layer":2},{"info":"compute binary expreesion, left_input=-26790, right_input=-2634, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=52704","layer":1},{"info":"compute unary expreesion, input=52704, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-1474418","layer":0}],"base":11,"result_base":11,"text":"≔(((⋰*⋻2318⨭⪣⋰*⋻3A60)⊲⩕⊾(⊑⋰*⋻865))⪚(⊈(⋰*⋻3A44-⋰*⋻2108)))=⋰*⋻-917830","reverse_text":"⋰*⋻-917830=≔(((⋰*⋻2318⨭⪣⋰*⋻3A60)⊲⩕⊾(⊑⋰*⋻865))⪚(⊈(⋰*⋻3A44-⋰*⋻2108)))","cot":[{"info":"⋰*⋻2318⨭⪣⋰*⋻3A60=⋰*⋻1365","layer":3},{"info":"⊑⋰*⋻865=⋰*⋻165","layer":3},{"info":"⋰*⋻1365⊲⩕⊾⋰*⋻165=⋰*⋻-19145","layer":2},{"info":"⋰*⋻3A44-⋰*⋻2108=⋰*⋻1937","layer":3},{"info":"⊈⋰*⋻1937=⋰*⋻-1A85","layer":2},{"info":"⋰*⋻-19145⪚⋰*⋻-1A85=⋰*⋻36663","layer":1},{"info":"≔⋰*⋻36663=⋰*⋻-917830","layer":0}]}
{"id":898,"expression_no_base_symbol":"((⫖→$5259$)∋($4748$⇣⩺⋵$1701$)⊭↱($1080$∪⫐$2408$)⊉↱≁($6354$⇷$1493$))⨚⇆($2925$↸$1048$)⨐$2079$⇡⇂$1232$↼⊘⨖(($5408$⩘)⨫⇇↔($2835$↙$1302$))","expression":"((⫖→⋰*⋻3A51)∋(⋰*⋻3627⇣⩺⋵⋰*⋻1307)⊭↱(⋰*⋻8A2∪⫐⋰*⋻189A)⊉↱≁(⋰*⋻4857⇷⋰*⋻1138))⨚⇆(⋰*⋻221A↸⋰*⋻873)⨐⋰*⋻1620⇡⇂⋰*⋻A20↼⊘⨖((⋰*⋻4077⩘)⨫⇇↔(⋰*⋻2148↙⋰*⋻A84))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":762301,"operation_count":15,"complexity_ratio":50820.066666666666,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":5259,"base":11}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4748,"base":11},"right_expr":{"type":"numeric_atoms","value":1701,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1080,"base":11},"right_expr":{"type":"numeric_atoms","value":2408,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6354,"base":11},"right_expr":{"type":"numeric_atoms","value":1493,"base":11}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2925,"base":11},"right_expr":{"type":"numeric_atoms","value":1048,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2079,"base":11},"right_expr":{"type":"numeric_atoms","value":1232,"base":11}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":5408,"base":11}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2835,"base":11},"right_expr":{"type":"numeric_atoms","value":1302,"base":11}}}}},"used_operators":["lwHaAYXP2r","COABgblf1C","ukq6epAj5P","U4ylXWHChL","F4yD0voBRQ","w2P8NbNXyL","7YooWSwCyH","mp7IySMOzn","bPywburJMS","Noe24qw2ks","1eCjFl0mb9","UMwdvZNt44","LXhwmt4mBO","wvHyciQT5X","yyfyN0ffXY"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rJVOvQCfKK","2DDjHMKMc0","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9ICcGScMcE","dfKe02y8D2","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5259","layer":4},{"info":"compute unary expreesion, input=5259, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=4748","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=4748, right_input=1701, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-260, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-55332","layer":2},{"info":"number node, value=1080","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=2408, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1080","layer":3},{"info":"number node, value=6354","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=6354, right_input=1493, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2986","layer":3},{"info":"compute binary expreesion, left_input=1080, right_input=2986, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-8230","layer":2},{"info":"compute binary expreesion, left_input=-55332, right_input=-8230, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=94209","layer":1},{"info":"number node, value=2925","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=2925, right_input=1048, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2925","layer":3},{"info":"number node, value=2079","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=2079, right_input=1232, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2925, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5850","layer":2},{"info":"number node, value=5408","layer":4},{"info":"compute unary expreesion, input=5408, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=2835","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=1302, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3906","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-3906, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=-5850, right_input=-527, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-1276","layer":1},{"info":"compute binary expreesion, left_input=94209, right_input=-1276, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⫖→⋰*⋻3A51)∋(⋰*⋻3627⇣⩺⋵⋰*⋻1307)⊭↱(⋰*⋻8A2∪⫐⋰*⋻189A)⊉↱≁(⋰*⋻4857⇷⋰*⋻1138))⨚⇆(⋰*⋻221A↸⋰*⋻873)⨐⋰*⋻1620⇡⇂⋰*⋻A20↼⊘⨖((⋰*⋻4077⩘)⨫⇇↔(⋰*⋻2148↙⋰*⋻A84))=NaN","reverse_text":"NaN=((⫖→⋰*⋻3A51)∋(⋰*⋻3627⇣⩺⋵⋰*⋻1307)⊭↱(⋰*⋻8A2∪⫐⋰*⋻189A)⊉↱≁(⋰*⋻4857⇷⋰*⋻1138))⨚⇆(⋰*⋻221A↸⋰*⋻873)⨐⋰*⋻1620⇡⇂⋰*⋻A20↼⊘⨖((⋰*⋻4077⩘)⨫⇇↔(⋰*⋻2148↙⋰*⋻A84))","cot":[{"info":"⫖→⋰*⋻3A51=⋰*⋻151","layer":3},{"info":"⋰*⋻3627⇣⩺⋵⋰*⋻1307=⋰*⋻-217","layer":3},{"info":"⋰*⋻151∋⋰*⋻-217=⋰*⋻-38632","layer":2},{"info":"⋰*⋻8A2∪⫐⋰*⋻189A=⋰*⋻8A2","layer":3},{"info":"⋰*⋻4857⇷⋰*⋻1138=⋰*⋻2275","layer":3},{"info":"⋰*⋻8A2⊉↱≁⋰*⋻2275=⋰*⋻-6202","layer":2},{"info":"⋰*⋻-38632⊭↱⋰*⋻-6202=⋰*⋻64865","layer":1},{"info":"⋰*⋻221A↸⋰*⋻873=⋰*⋻221A","layer":3},{"info":"⋰*⋻1620⇡⇂⋰*⋻A20=NaN","layer":3},{"info":"⋰*⋻221A⨐NaN=⋰*⋻-4439","layer":2},{"info":"⋰*⋻4077⩘=⋰*⋻61","layer":3},{"info":"⋰*⋻2148↙⋰*⋻A84=⋰*⋻-2A31","layer":3},{"info":"⋰*⋻61⨫⇇↔⋰*⋻-2A31=⋰*⋻-43A","layer":2},{"info":"⋰*⋻-4439↼⊘⨖⋰*⋻-43A=⋰*⋻-A60","layer":1},{"info":"⋰*⋻64865⨚⇆⋰*⋻-A60=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"(⪡⇡≛($1104$⊮⊟↴$2823$↺$1239$∺≝⩲$3648$))⫥∨⫟(∤↝(⫓⪴$7667$⪬$1384$))","expression":"(⪡⇡≛(⋰*⋻914⊮⊟↴⋰*⋻2137↺⋰*⋻A27∺≝⩲⋰*⋻2817))⫥∨⫟(∤↝(⫓⪴⋰*⋻5840⪬⋰*⋻1049))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2041,"operation_count":8,"complexity_ratio":255.125,"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":1104,"base":11},"right_expr":{"type":"numeric_atoms","value":2823,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1239,"base":11},"right_expr":{"type":"numeric_atoms","value":3648,"base":11}}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":7667,"base":11},"right_expr":{"type":"numeric_atoms","value":1384,"base":11}}}}},"used_operators":["KYD54nUTWz","qL4PrbW1Dq","7j4O788W3g","QDVgd2eftb","KPf6cnQVty","3UMq87Qwqg","eLxqMNBOBk","Ez1Nq5fNfI"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9HNa5Wba9A","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=2823, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=3648, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-160","layer":1},{"info":"number node, value=7667","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=7667, right_input=1384, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1522756","layer":2},{"info":"compute unary expreesion, input=1522756, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1522756","layer":1},{"info":"compute binary expreesion, left_input=-160, right_input=1522756, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪡⇡≛(⋰*⋻914⊮⊟↴⋰*⋻2137↺⋰*⋻A27∺≝⩲⋰*⋻2817))⫥∨⫟(∤↝(⫓⪴⋰*⋻5840⪬⋰*⋻1049))=NaN","reverse_text":"NaN=(⪡⇡≛(⋰*⋻914⊮⊟↴⋰*⋻2137↺⋰*⋻A27∺≝⩲⋰*⋻2817))⫥∨⫟(∤↝(⫓⪴⋰*⋻5840⪬⋰*⋻1049))","cot":[{"info":"⋰*⋻914⊮⊟↴⋰*⋻2137=⋰*⋻0","layer":3},{"info":"⋰*⋻A27∺≝⩲⋰*⋻2817=⋰*⋻136","layer":3},{"info":"⋰*⋻0↺⋰*⋻136=⋰*⋻136","layer":2},{"info":"⪡⇡≛⋰*⋻136=⋰*⋻-136","layer":1},{"info":"⋰*⋻5840⪬⋰*⋻1049=⋰*⋻A22","layer":3},{"info":"⫓⪴⋰*⋻A22=⋰*⋻950084","layer":2},{"info":"∤↝⋰*⋻950084=⋰*⋻950084","layer":1},{"info":"⋰*⋻-136⫥∨⫟⋰*⋻950084=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"(⨝⨆(⊙↵-($1655$∠⫱$3028$)))⋕⪉⪜((($8157$≬⇓$6522$)⪍↜⋙($5686$⇴$2316$))⨚⇆(⨡↴$1765$∌↝$1441$))","expression":"(⨝⨆(⊙↵-(⋰*⋻1275∠⫱⋰*⋻2303)))⋕⪉⪜(((⋰*⋻6146≬⇓⋰*⋻499A)⪍↜⋙(⋰*⋻42AA⇴⋰*⋻1816))⨚⇆(⨡↴⋰*⋻1365∌↝⋰*⋻10A0))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":543189,"operation_count":10,"complexity_ratio":54318.9,"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":1655,"base":11},"right_expr":{"type":"numeric_atoms","value":3028,"base":11}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":8157,"base":11},"right_expr":{"type":"numeric_atoms","value":6522,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":5686,"base":11},"right_expr":{"type":"numeric_atoms","value":2316,"base":11}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1765,"base":11},"right_expr":{"type":"numeric_atoms","value":1441,"base":11}}}}},"used_operators":["z6LnFrNh4i","bQ67fsrMVf","oWn0xqSxBt","QvoQhV0rrE","lwHaAYXP2r","L05ObWFQCd","jWTQ2TZYIH","4JB6nKBMSY","liw5iZPkLH","9Isq31Ruls"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","tifHPKVTfV","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","P8v4zCKN1o","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋰*⋻176","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1655","layer":4},{"info":"number node, value=3028","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=3028, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-210","layer":1},{"info":"number node, value=8157","layer":4},{"info":"number node, value=6522","layer":4},{"info":"compute binary expreesion, left_input=8157, right_input=6522, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=5686","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=5686, right_input=2316, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=38362","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=38362, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-77397","layer":2},{"info":"number node, value=1765","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=1441, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1049","layer":2},{"info":"compute binary expreesion, left_input=-77397, right_input=1049, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-210, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":11,"result_base":11,"text":"(⨝⨆(⊙↵-(⋰*⋻1275∠⫱⋰*⋻2303)))⋕⪉⪜(((⋰*⋻6146≬⇓⋰*⋻499A)⪍↜⋙(⋰*⋻42AA⇴⋰*⋻1816))⨚⇆(⨡↴⋰*⋻1365∌↝⋰*⋻10A0))=⋰*⋻176","reverse_text":"⋰*⋻176=(⨝⨆(⊙↵-(⋰*⋻1275∠⫱⋰*⋻2303)))⋕⪉⪜(((⋰*⋻6146≬⇓⋰*⋻499A)⪍↜⋙(⋰*⋻42AA⇴⋰*⋻1816))⨚⇆(⨡↴⋰*⋻1365∌↝⋰*⋻10A0))","cot":[{"info":"⋰*⋻1275∠⫱⋰*⋻2303=⋰*⋻A22","layer":3},{"info":"⊙↵-⋰*⋻A22=⋰*⋻-1","layer":2},{"info":"⨝⨆⋰*⋻-1=⋰*⋻-181","layer":1},{"info":"⋰*⋻6146≬⇓⋰*⋻499A=⋰*⋻-20","layer":3},{"info":"⋰*⋻42AA⇴⋰*⋻1816=⋰*⋻26905","layer":3},{"info":"⋰*⋻-20⪍↜⋙⋰*⋻26905=⋰*⋻-53171","layer":2},{"info":"⋰*⋻1365∌↝⋰*⋻10A0=⋰*⋻0","layer":3},{"info":"⨡↴⋰*⋻0=⋰*⋻874","layer":2},{"info":"⋰*⋻-53171⨚⇆⋰*⋻874=NaN","layer":1},{"info":"⋰*⋻-181⋕⪉⪜NaN=⋰*⋻176","layer":0}]}
{"id":901,"expression_no_base_symbol":"($4347$⩌⋺$1014$⩹$1059$⪢$3362$)⫗⊷⫓(⨞⊢($7456$⨽⪊≇))⫡⨏((⫇($1588$⫳≱↱$1192$))⫽⇹≛)","expression":"(⋰*⋻32A2⩌⋺⋰*⋻842⩹⋰*⋻883⪢⋰*⋻2587)⫗⊷⫓(⨞⊢(⋰*⋻5669⨽⪊≇))⫡⨏((⫇(⋰*⋻1214⫳≱↱⋰*⋻994))⫽⇹≛)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":91284,"operation_count":10,"complexity_ratio":9128.4,"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":4347,"base":11},"right_expr":{"type":"numeric_atoms","value":1014,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1059,"base":11},"right_expr":{"type":"numeric_atoms","value":3362,"base":11}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":7456,"base":11}}}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1588,"base":11},"right_expr":{"type":"numeric_atoms","value":1192,"base":11}}}}},"used_operators":["QMFrweE19q","zashukvMKz","2Wsdkap16l","g7Hmc5v1ko","dWAJyo7jo9","xUOZtlo3hN","nlCqmYiOvY","NNaDxxp6OQ","YjI8oCXuph","ZvLB05nZmT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⋰*⋻548","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4347","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=1014, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5482","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=3362, 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=-5482, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=7456","layer":4},{"info":"compute unary expreesion, input=7456, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=14386","layer":3},{"info":"compute unary expreesion, input=14386, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-14560","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14560, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=1588","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=1192, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=742","layer":2},{"info":"compute unary expreesion, input=742, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=272, 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=657","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻32A2⩌⋺⋰*⋻842⩹⋰*⋻883⪢⋰*⋻2587)⫗⊷⫓(⨞⊢(⋰*⋻5669⨽⪊≇))⫡⨏((⫇(⋰*⋻1214⫳≱↱⋰*⋻994))⫽⇹≛)=⋰*⋻548","reverse_text":"⋰*⋻548=(⋰*⋻32A2⩌⋺⋰*⋻842⩹⋰*⋻883⪢⋰*⋻2587)⫗⊷⫓(⨞⊢(⋰*⋻5669⨽⪊≇))⫡⨏((⫇(⋰*⋻1214⫳≱↱⋰*⋻994))⫽⇹≛)","cot":[{"info":"⋰*⋻32A2⩌⋺⋰*⋻842=⋰*⋻-4134","layer":3},{"info":"⋰*⋻883⪢⋰*⋻2587=NaN","layer":3},{"info":"⋰*⋻-4134⩹NaN=NaN","layer":2},{"info":"⋰*⋻5669⨽⪊≇=⋰*⋻A899","layer":3},{"info":"⨞⊢⋰*⋻A899=⋰*⋻-AA37","layer":2},{"info":"NaN⫗⊷⫓⋰*⋻-AA37=⋰*⋻-112","layer":1},{"info":"⋰*⋻1214⫳≱↱⋰*⋻994=⋰*⋻-176","layer":3},{"info":"⫇⋰*⋻-176=⋰*⋻615","layer":2},{"info":"⋰*⋻615⫽⇹≛=⋰*⋻228","layer":1},{"info":"⋰*⋻-112⫡⨏⋰*⋻228=⋰*⋻548","layer":0}]}
{"id":902,"expression_no_base_symbol":"(⩪∧⨌($6929$⨁⊸⫻))⫗⊷⫓(⪨⨬($2428$∪⫐$3478$))⋅⇍($5575$∠⫱$5379$)≀⫉($2689$⨒$1255$)⋥≓≎(⩦⩻⨪($1564$↬⩅∪))","expression":"(⩪∧⨌(⋰*⋻522A⨁⊸⫻))⫗⊷⫓(⪨⨬(⋰*⋻1908∪⫐⋰*⋻2682))⋅⇍(⋰*⋻4209∠⫱⋰*⋻4050)≀⫉(⋰*⋻2025⨒⋰*⋻A41)⋥≓≎(⩦⩻⨪(⋰*⋻11A2↬⩅∪))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":409656,"operation_count":12,"complexity_ratio":34138.0,"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":6929,"base":11}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2428,"base":11},"right_expr":{"type":"numeric_atoms","value":3478,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5575,"base":11},"right_expr":{"type":"numeric_atoms","value":5379,"base":11}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2689,"base":11},"right_expr":{"type":"numeric_atoms","value":1255,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1564,"base":11}}}}},"used_operators":["AdZkA7nFnk","zashukvMKz","6iOiAJX1F8","glklzrTFfD","5obUd6DV38","7YooWSwCyH","Qy55tPpLXF","oZj3VtZNQx","QvoQhV0rrE","y75s1iXyHd","2td37pGCOC","VJ330n2nnx"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","T2fj7uvVaJ","nlCqmYiOvY","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"⋰*⋻-36A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6929","layer":4},{"info":"compute unary expreesion, input=6929, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6929","layer":3},{"info":"compute unary expreesion, input=6929, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=69290","layer":2},{"info":"number node, value=2428","layer":4},{"info":"number node, value=3478","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=3478, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2428","layer":3},{"info":"compute unary expreesion, input=2428, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=69290, right_input=-526, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=5575","layer":4},{"info":"number node, value=5379","layer":4},{"info":"compute binary expreesion, left_input=5575, right_input=5379, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=2689","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=1255, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-15762","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-15762, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1564","layer":4},{"info":"compute unary expreesion, input=1564, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-4692","layer":3},{"info":"compute unary expreesion, input=-4692, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-4692","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-4692, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-12173","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-12173, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-439","layer":0}],"base":11,"result_base":11,"text":"(⩪∧⨌(⋰*⋻522A⨁⊸⫻))⫗⊷⫓(⪨⨬(⋰*⋻1908∪⫐⋰*⋻2682))⋅⇍(⋰*⋻4209∠⫱⋰*⋻4050)≀⫉(⋰*⋻2025⨒⋰*⋻A41)⋥≓≎(⩦⩻⨪(⋰*⋻11A2↬⩅∪))=⋰*⋻-36A","reverse_text":"⋰*⋻-36A=(⩪∧⨌(⋰*⋻522A⨁⊸⫻))⫗⊷⫓(⪨⨬(⋰*⋻1908∪⫐⋰*⋻2682))⋅⇍(⋰*⋻4209∠⫱⋰*⋻4050)≀⫉(⋰*⋻2025⨒⋰*⋻A41)⋥≓≎(⩦⩻⨪(⋰*⋻11A2↬⩅∪))","cot":[{"info":"⋰*⋻522A⨁⊸⫻=⋰*⋻522A","layer":3},{"info":"⩪∧⨌⋰*⋻522A=⋰*⋻48071","layer":2},{"info":"⋰*⋻1908∪⫐⋰*⋻2682=⋰*⋻1908","layer":3},{"info":"⪨⨬⋰*⋻1908=⋰*⋻-439","layer":2},{"info":"⋰*⋻48071⫗⊷⫓⋰*⋻-439=⋰*⋻-112","layer":1},{"info":"⋰*⋻4209∠⫱⋰*⋻4050=⋰*⋻A22","layer":3},{"info":"⋰*⋻2025⨒⋰*⋻A41=⋰*⋻-1092A","layer":3},{"info":"⋰*⋻A22≀⫉⋰*⋻-1092A=⋰*⋻2136","layer":2},{"info":"⋰*⋻11A2↬⩅∪=⋰*⋻-3586","layer":3},{"info":"⩦⩻⨪⋰*⋻-3586=⋰*⋻-3586","layer":2},{"info":"⋰*⋻2136⋥≓≎⋰*⋻-3586=⋰*⋻-9167","layer":1},{"info":"⋰*⋻-112⋅⇍⋰*⋻-9167=⋰*⋻-36A","layer":0}]}
{"id":903,"expression_no_base_symbol":"(($5414$⇯⋐)⫗⊷⫓($4491$⇣⩺⋵$1324$)∖(⫎≠⋺($6740$∖$2781$)))⨔≚≋(∡(($4238$⫚⫇)/(∨∊⋏$3145$)))","expression":"((⋰*⋻4082⇯⋐)⫗⊷⫓(⋰*⋻3413⇣⩺⋵⋰*⋻AA4)∖(⫎≠⋺(⋰*⋻5078∖⋰*⋻20A9)))⨔≚≋(∡((⋰*⋻3203⫚⫇)/(∨∊⋏⋰*⋻23AA)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":203553,"operation_count":11,"complexity_ratio":18504.81818181818,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":5414,"base":11}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4491,"base":11},"right_expr":{"type":"numeric_atoms","value":1324,"base":11}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6740,"base":11},"right_expr":{"type":"numeric_atoms","value":2781,"base":11}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":4238,"base":11}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3145,"base":11}}}}},"used_operators":["Z57zeUYC9z","tXD093vOjl","zashukvMKz","LkLIoiE525","F4yD0voBRQ","LYeZOJ0nQG","pRsWfj4Fpp","XhwjNDsVaA","SdCjLnB6rR","R5aXW34M0v"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⋰*⋻-208A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5414","layer":4},{"info":"compute unary expreesion, input=5414, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=17120","layer":3},{"info":"number node, value=4491","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=4491, right_input=1324, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=17120, right_input=-260, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=6740","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=6740, right_input=2781, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-709, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=4238","layer":4},{"info":"compute unary expreesion, input=4238, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=7008","layer":3},{"info":"number node, value=3145","layer":4},{"info":"compute unary expreesion, input=3145, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=62279","layer":3},{"info":"compute binary expreesion, left_input=7008, right_input=62279, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-2760","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4082⇯⋐)⫗⊷⫓(⋰*⋻3413⇣⩺⋵⋰*⋻AA4)∖(⫎≠⋺(⋰*⋻5078∖⋰*⋻20A9)))⨔≚≋(∡((⋰*⋻3203⫚⫇)/(∨∊⋏⋰*⋻23AA)))=⋰*⋻-208A","reverse_text":"⋰*⋻-208A=((⋰*⋻4082⇯⋐)⫗⊷⫓(⋰*⋻3413⇣⩺⋵⋰*⋻AA4)∖(⫎≠⋺(⋰*⋻5078∖⋰*⋻20A9)))⨔≚≋(∡((⋰*⋻3203⫚⫇)/(∨∊⋏⋰*⋻23AA)))","cot":[{"info":"⋰*⋻4082⇯⋐=⋰*⋻11954","layer":3},{"info":"⋰*⋻3413⇣⩺⋵⋰*⋻AA4=⋰*⋻-217","layer":3},{"info":"⋰*⋻11954⫗⊷⫓⋰*⋻-217=⋰*⋻-112","layer":2},{"info":"⋰*⋻5078∖⋰*⋻20A9=⋰*⋻0","layer":3},{"info":"⫎≠⋺⋰*⋻0=⋰*⋻-595","layer":2},{"info":"⋰*⋻-112∖⋰*⋻-595=⋰*⋻0","layer":1},{"info":"⋰*⋻3203⫚⫇=⋰*⋻52A1","layer":3},{"info":"∨∊⋏⋰*⋻23AA=⋰*⋻42878","layer":3},{"info":"⋰*⋻52A1/⋰*⋻42878=⋰*⋻0","layer":2},{"info":"∡⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻0⨔≚≋⋰*⋻0=⋰*⋻-208A","layer":0}]}
{"id":904,"expression_no_base_symbol":"(↞≼($1584$⫚↹⊑$3347$))⩌⋺($1016$⪝$5896$+⪬∐($1343$≝⊰⇂))⋅⇍(⫎≠⋺($5109$⪭$2076$))⩣⫁∢(($1213$⪛$2090$)⊉↱≁($2148$∌$1175$))","expression":"(↞≼(⋰*⋻1210⫚↹⊑⋰*⋻2573))⩌⋺(⋰*⋻844⪝⋰*⋻4480+⪬∐(⋰*⋻1011≝⊰⇂))⋅⇍(⫎≠⋺(⋰*⋻3925⪭⋰*⋻1618))⩣⫁∢((⋰*⋻A03⪛⋰*⋻1630)⊉↱≁(⋰*⋻1683∌⋰*⋻979))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1953,"operation_count":13,"complexity_ratio":150.23076923076923,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1584,"base":11},"right_expr":{"type":"numeric_atoms","value":3347,"base":11}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":5896,"base":11}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1343,"base":11}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5109,"base":11},"right_expr":{"type":"numeric_atoms","value":2076,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1213,"base":11},"right_expr":{"type":"numeric_atoms","value":2090,"base":11}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2148,"base":11},"right_expr":{"type":"numeric_atoms","value":1175,"base":11}}}}},"used_operators":["AdZkA7nFnk","g7Hmc5v1ko","DE7zCoGJt9","dfKe02y8D2","2GS7woTJqF","wicAB68Tmb","htSmYCowi5","JDUIKTTSIa","LYeZOJ0nQG","j9kHMeSvPp","w2P8NbNXyL","uFcxV4UQCh","8cLx32lpNA"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","DlLNRPXxWL","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⋰*⋻-20","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=3347","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=3347, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-3990","layer":2},{"info":"number node, value=1016","layer":4},{"info":"number node, value=5896","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=5896, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-711","layer":2},{"info":"compute binary expreesion, left_input=-3990, right_input=-711, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=4580","layer":1},{"info":"number node, value=5109","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=5109, right_input=2076, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":2},{"info":"number node, value=1213","layer":4},{"info":"number node, value=2090","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=2090, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1213","layer":3},{"info":"number node, value=2148","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=1175, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1175","layer":3},{"info":"compute binary expreesion, left_input=1213, right_input=-1175, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=19128","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=19128, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=3401","layer":1},{"info":"compute binary expreesion, left_input=4580, right_input=3401, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":11,"result_base":11,"text":"(↞≼(⋰*⋻1210⫚↹⊑⋰*⋻2573))⩌⋺(⋰*⋻844⪝⋰*⋻4480+⪬∐(⋰*⋻1011≝⊰⇂))⋅⇍(⫎≠⋺(⋰*⋻3925⪭⋰*⋻1618))⩣⫁∢((⋰*⋻A03⪛⋰*⋻1630)⊉↱≁(⋰*⋻1683∌⋰*⋻979))=⋰*⋻-20","reverse_text":"⋰*⋻-20=(↞≼(⋰*⋻1210⫚↹⊑⋰*⋻2573))⩌⋺(⋰*⋻844⪝⋰*⋻4480+⪬∐(⋰*⋻1011≝⊰⇂))⋅⇍(⫎≠⋺(⋰*⋻3925⪭⋰*⋻1618))⩣⫁∢((⋰*⋻A03⪛⋰*⋻1630)⊉↱≁(⋰*⋻1683∌⋰*⋻979))","cot":[{"info":"⋰*⋻1210⫚↹⊑⋰*⋻2573=⋰*⋻-377","layer":3},{"info":"↞≼⋰*⋻-377=⋰*⋻-2AA8","layer":2},{"info":"⋰*⋻844⪝⋰*⋻4480=⋰*⋻1A6","layer":3},{"info":"⋰*⋻1011≝⊰⇂=⋰*⋻0","layer":3},{"info":"⋰*⋻1A6+⪬∐⋰*⋻0=⋰*⋻-597","layer":2},{"info":"⋰*⋻-2AA8⩌⋺⋰*⋻-597=⋰*⋻3494","layer":1},{"info":"⋰*⋻3925⪭⋰*⋻1618=⋰*⋻5","layer":3},{"info":"⫎≠⋺⋰*⋻5=⋰*⋻-595","layer":2},{"info":"⋰*⋻A03⪛⋰*⋻1630=⋰*⋻A03","layer":3},{"info":"⋰*⋻1683∌⋰*⋻979=⋰*⋻-979","layer":3},{"info":"⋰*⋻A03⊉↱≁⋰*⋻-979=⋰*⋻1340A","layer":2},{"info":"⋰*⋻-595⩣⫁∢⋰*⋻1340A=⋰*⋻2612","layer":1},{"info":"⋰*⋻3494⋅⇍⋰*⋻2612=⋰*⋻-20","layer":0}]}
{"id":905,"expression_no_base_symbol":"(($2861$⫳≱↱$3946$)⇡⇂(⪫⨮⊛$1798$)⊝⪿⪼($4583$∕⩚$1060$)⫗⊷⫓($8671$⨻⩈⩔$1518$))⇔⨋","expression":"((⋰*⋻2171⫳≱↱⋰*⋻2A68)⇡⇂(⪫⨮⊛⋰*⋻1395)⊝⪿⪼(⋰*⋻3497∕⩚⋰*⋻884)⫗⊷⫓(⋰*⋻6573⨻⩈⩔⋰*⋻1160))⇔⨋","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1214487,"operation_count":8,"complexity_ratio":151810.875,"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":2861,"base":11},"right_expr":{"type":"numeric_atoms","value":3946,"base":11}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1798,"base":11}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4583,"base":11},"right_expr":{"type":"numeric_atoms","value":1060,"base":11}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":8671,"base":11},"right_expr":{"type":"numeric_atoms","value":1518,"base":11}}}}},"used_operators":["uBihLCJcMX","3Oe9XWJUTD","UMwdvZNt44","ZvLB05nZmT","w5FWba1tyO","zashukvMKz","z9ffQ9n5Zr","nEsXyWgiOK"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⋰*⋻30001","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2861","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=2861, right_input=3946, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1798","layer":4},{"info":"compute unary expreesion, input=1798, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-201","layer":2},{"info":"number node, value=4583","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=1060, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4586","layer":3},{"info":"number node, value=8671","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=8671, right_input=1518, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=60967","layer":3},{"info":"compute binary expreesion, left_input=-4586, right_input=60967, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-201, right_input=-134, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=7499","layer":1},{"info":"compute unary expreesion, input=7499, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=43924","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2171⫳≱↱⋰*⋻2A68)⇡⇂(⪫⨮⊛⋰*⋻1395)⊝⪿⪼(⋰*⋻3497∕⩚⋰*⋻884)⫗⊷⫓(⋰*⋻6573⨻⩈⩔⋰*⋻1160))⇔⨋=⋰*⋻30001","reverse_text":"⋰*⋻30001=((⋰*⋻2171⫳≱↱⋰*⋻2A68)⇡⇂(⪫⨮⊛⋰*⋻1395)⊝⪿⪼(⋰*⋻3497∕⩚⋰*⋻884)⫗⊷⫓(⋰*⋻6573⨻⩈⩔⋰*⋻1160))⇔⨋","cot":[{"info":"⋰*⋻2171⫳≱↱⋰*⋻2A68=⋰*⋻-176","layer":3},{"info":"⪫⨮⊛⋰*⋻1395=NaN","layer":3},{"info":"⋰*⋻-176⇡⇂NaN=⋰*⋻-173","layer":2},{"info":"⋰*⋻3497∕⩚⋰*⋻884=⋰*⋻-349A","layer":3},{"info":"⋰*⋻6573⨻⩈⩔⋰*⋻1160=⋰*⋻41895","layer":3},{"info":"⋰*⋻-349A⫗⊷⫓⋰*⋻41895=⋰*⋻-112","layer":2},{"info":"⋰*⋻-173⊝⪿⪼⋰*⋻-112=⋰*⋻56A8","layer":1},{"info":"⋰*⋻56A8⇔⨋=⋰*⋻30001","layer":0}]}
{"id":906,"expression_no_base_symbol":"(($1573$∲⫓$5758$)⋻⩜⩜$1442$⨫⇇↔$8748$)∊∟⩊((≘$1994$)⪕$1602$≁$3212$)⊬⨰(($6629$≀⩗∶$1352$)⩘($1804$⪒$5858$)-$2501$⫰⋱$2082$⪉⨛$4039$⇷$7666$)","expression":"((⋰*⋻1200∲⫓⋰*⋻4365)⋻⩜⩜⋰*⋻10A1⨫⇇↔⋰*⋻6633)∊∟⩊((≘⋰*⋻1553)⪕⋰*⋻1227≁⋰*⋻2460)⊬⨰((⋰*⋻4A87≀⩗∶⋰*⋻101A)⩘(⋰*⋻13A0⪒⋰*⋻4446)-⋰*⋻1974⫰⋱⋰*⋻1623⪉⨛⋰*⋻3042⇷⋰*⋻583A)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":64370,"operation_count":15,"complexity_ratio":4291.333333333333,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1573,"base":11},"right_expr":{"type":"numeric_atoms","value":5758,"base":11}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1442,"base":11},"right_expr":{"type":"numeric_atoms","value":8748,"base":11}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1994,"base":11}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1602,"base":11},"right_expr":{"type":"numeric_atoms","value":3212,"base":11}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":6629,"base":11},"right_expr":{"type":"numeric_atoms","value":1352,"base":11}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1804,"base":11},"right_expr":{"type":"numeric_atoms","value":5858,"base":11}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2501,"base":11},"right_expr":{"type":"numeric_atoms","value":2082,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4039,"base":11},"right_expr":{"type":"numeric_atoms","value":7666,"base":11}}}}},"used_operators":["s3Fd5m9Dh2","ddLRYrp01A","oDCm7WA9JY","i8ToyICDmI","LXhwmt4mBO","umQnsF7QlU","tcjXMdvYtA","8N2wDY1A35","rysDP5nf3Z","cHh1gJQ2o6","8INZBEW696","f6k1SAg4EE","EWw2JM7wp4","6o9Blt3TJ6","mp7IySMOzn"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋰*⋻505A105","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1573","layer":4},{"info":"number node, value=5758","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=5758, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1442","layer":4},{"info":"number node, value=8748","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=8748, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=0","layer":2},{"info":"number node, value=1994","layer":4},{"info":"compute unary expreesion, input=1994, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=4397554","layer":3},{"info":"number node, value=1602","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=3212, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=63887","layer":3},{"info":"compute binary expreesion, left_input=4397554, right_input=63887, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8732122","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8732122, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=8732122","layer":1},{"info":"number node, value=6629","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=6629, right_input=1352, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1804","layer":4},{"info":"number node, value=5858","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=5858, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7662","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7662, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=2501","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=2082, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2468","layer":3},{"info":"number node, value=4039","layer":4},{"info":"number node, value=7666","layer":4},{"info":"compute binary expreesion, left_input=4039, right_input=7666, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15332","layer":3},{"info":"compute binary expreesion, left_input=-2468, right_input=15332, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-53185","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-53185, op_id = rysDP5nf3Z binary_op_definition= 'None', output=53345","layer":1},{"info":"compute binary expreesion, left_input=8732122, right_input=53345, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8944446","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1200∲⫓⋰*⋻4365)⋻⩜⩜⋰*⋻10A1⨫⇇↔⋰*⋻6633)∊∟⩊((≘⋰*⋻1553)⪕⋰*⋻1227≁⋰*⋻2460)⊬⨰((⋰*⋻4A87≀⩗∶⋰*⋻101A)⩘(⋰*⋻13A0⪒⋰*⋻4446)-⋰*⋻1974⫰⋱⋰*⋻1623⪉⨛⋰*⋻3042⇷⋰*⋻583A)=⋰*⋻505A105","reverse_text":"⋰*⋻505A105=((⋰*⋻1200∲⫓⋰*⋻4365)⋻⩜⩜⋰*⋻10A1⨫⇇↔⋰*⋻6633)∊∟⩊((≘⋰*⋻1553)⪕⋰*⋻1227≁⋰*⋻2460)⊬⨰((⋰*⋻4A87≀⩗∶⋰*⋻101A)⩘(⋰*⋻13A0⪒⋰*⋻4446)-⋰*⋻1974⫰⋱⋰*⋻1623⪉⨛⋰*⋻3042⇷⋰*⋻583A)","cot":[{"info":"⋰*⋻1200∲⫓⋰*⋻4365=⋰*⋻0","layer":3},{"info":"⋰*⋻10A1⨫⇇↔⋰*⋻6633=⋰*⋻-43A","layer":3},{"info":"⋰*⋻0⋻⩜⩜⋰*⋻-43A=⋰*⋻0","layer":2},{"info":"≘⋰*⋻1553=⋰*⋻2533A47","layer":3},{"info":"⋰*⋻1227≁⋰*⋻2460=⋰*⋻43AAA","layer":3},{"info":"⋰*⋻2533A47⪕⋰*⋻43AAA=⋰*⋻4A24633","layer":2},{"info":"⋰*⋻0∊∟⩊⋰*⋻4A24633=⋰*⋻4A24633","layer":1},{"info":"⋰*⋻4A87≀⩗∶⋰*⋻101A=⋰*⋻0","layer":3},{"info":"⋰*⋻13A0⪒⋰*⋻4446=⋰*⋻-5836","layer":3},{"info":"⋰*⋻0⩘⋰*⋻-5836=⋰*⋻136","layer":2},{"info":"⋰*⋻1974⫰⋱⋰*⋻1623=⋰*⋻-1944","layer":3},{"info":"⋰*⋻3042⇷⋰*⋻583A=⋰*⋻10579","layer":3},{"info":"⋰*⋻-1944⪉⨛⋰*⋻10579=⋰*⋻-36A60","layer":2},{"info":"⋰*⋻136-⋰*⋻-36A60=⋰*⋻37096","layer":1},{"info":"⋰*⋻4A24633⊬⨰⋰*⋻37096=⋰*⋻505A105","layer":0}]}
{"id":907,"expression_no_base_symbol":"(($1013$⩚⊴⇥$2798$)⨥⫆($1407$⇪⋭)⨹)⇌⫙⪟(($8624$⋝⋈⪟$2914$/$2041$⩁⩘$1930$)⫌⩉⩟($2947$∛$4713$)⨔⇊($8437$⪛⫼$2115$))","expression":"((⋰*⋻841⩚⊴⇥⋰*⋻2114)⨥⫆(⋰*⋻106A⇪⋭)⨹)⇌⫙⪟((⋰*⋻6530⋝⋈⪟⋰*⋻220A/⋰*⋻1596⩁⩘⋰*⋻14A5)⫌⩉⩟(⋰*⋻223A∛⋰*⋻35A5)⨔⇊(⋰*⋻6380⪛⫼⋰*⋻1653))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":950926,"operation_count":12,"complexity_ratio":79243.83333333333,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":2798,"base":11}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1407,"base":11}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8624,"base":11},"right_expr":{"type":"numeric_atoms","value":2914,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2041,"base":11},"right_expr":{"type":"numeric_atoms","value":1930,"base":11}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2947,"base":11},"right_expr":{"type":"numeric_atoms","value":4713,"base":11}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":8437,"base":11},"right_expr":{"type":"numeric_atoms","value":2115,"base":11}}}}},"used_operators":["AFVx7xoS7T","UnCoSGIALn","yXekIHxTD4","NTOWxs364D","Z8Yg6dlDSp","XIIwhv8d0m","XhwjNDsVaA","2DDjHMKMc0","gub5Cegaqo","JclMnS0uGI","w2537kitQq","hyuBjUqXlG"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","mp7IySMOzn","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=2798, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3932","layer":3},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3932, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":1},{"info":"number node, value=8624","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=8624, right_input=2914, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8624","layer":3},{"info":"number node, value=2041","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=1930, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8668","layer":3},{"info":"compute binary expreesion, left_input=8624, right_input=8668, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2947","layer":4},{"info":"number node, value=4713","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=4713, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=8437","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=8437, right_input=2115, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=968, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=968, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻841⩚⊴⇥⋰*⋻2114)⨥⫆(⋰*⋻106A⇪⋭)⨹)⇌⫙⪟((⋰*⋻6530⋝⋈⪟⋰*⋻220A/⋰*⋻1596⩁⩘⋰*⋻14A5)⫌⩉⩟(⋰*⋻223A∛⋰*⋻35A5)⨔⇊(⋰*⋻6380⪛⫼⋰*⋻1653))=NaN","reverse_text":"NaN=((⋰*⋻841⩚⊴⇥⋰*⋻2114)⨥⫆(⋰*⋻106A⇪⋭)⨹)⇌⫙⪟((⋰*⋻6530⋝⋈⪟⋰*⋻220A/⋰*⋻1596⩁⩘⋰*⋻14A5)⫌⩉⩟(⋰*⋻223A∛⋰*⋻35A5)⨔⇊(⋰*⋻6380⪛⫼⋰*⋻1653))","cot":[{"info":"⋰*⋻841⩚⊴⇥⋰*⋻2114=⋰*⋻-2A55","layer":3},{"info":"⋰*⋻106A⇪⋭=NaN","layer":3},{"info":"⋰*⋻-2A55⨥⫆NaN=NaN","layer":2},{"info":"NaN⨹=NaN","layer":1},{"info":"⋰*⋻6530⋝⋈⪟⋰*⋻220A=⋰*⋻6530","layer":3},{"info":"⋰*⋻1596⩁⩘⋰*⋻14A5=⋰*⋻6570","layer":3},{"info":"⋰*⋻6530/⋰*⋻6570=⋰*⋻0","layer":2},{"info":"⋰*⋻223A∛⋰*⋻35A5=⋰*⋻-55A","layer":3},{"info":"⋰*⋻6380⪛⫼⋰*⋻1653=⋰*⋻800","layer":3},{"info":"⋰*⋻-55A⨔⇊⋰*⋻800=⋰*⋻800","layer":2},{"info":"⋰*⋻0⫌⩉⩟⋰*⋻800=⋰*⋻-46","layer":1},{"info":"NaN⇌⫙⪟⋰*⋻-46=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"⇁⨣⪵(⨩∲⋌($3210$∝$2677$))∳⫺(($3009$⨽$1002$)⪶≀⋏$1018$∇⊂⋱$1789$)","expression":"⇁⨣⪵(⨩∲⋌(⋰*⋻2459∝⋰*⋻2014))∳⫺((⋰*⋻2296⨽⋰*⋻831)⪶≀⋏⋰*⋻846∇⊂⋱⋰*⋻1387)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3098,"operation_count":7,"complexity_ratio":442.57142857142856,"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":3210,"base":11},"right_expr":{"type":"numeric_atoms","value":2677,"base":11}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3009,"base":11},"right_expr":{"type":"numeric_atoms","value":1002,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1018,"base":11},"right_expr":{"type":"numeric_atoms","value":1789,"base":11}}}}},"used_operators":["inkyxCbjAn","AzXXKTstlj","aSik1wnThz","cTDWOvIxvz","zR4jO40bMj","8HhzD0ZcuI","nhYeJWJD5X"],"dependent_operators":["B5M0gjZbta","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3210","layer":4},{"info":"number node, value=2677","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=2677, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3215","layer":3},{"info":"compute unary expreesion, input=3215, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3738","layer":2},{"info":"number node, value=3009","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=3009, right_input=1002, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27163935","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1789, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1490","layer":3},{"info":"compute binary expreesion, left_input=-27163935, right_input=1490, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=11920","layer":2},{"info":"compute binary expreesion, left_input=-3738, right_input=11920, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-38730","layer":1},{"info":"compute unary expreesion, input=-38730, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⇁⨣⪵(⨩∲⋌(⋰*⋻2459∝⋰*⋻2014))∳⫺((⋰*⋻2296⨽⋰*⋻831)⪶≀⋏⋰*⋻846∇⊂⋱⋰*⋻1387)=NaN","reverse_text":"NaN=⇁⨣⪵(⨩∲⋌(⋰*⋻2459∝⋰*⋻2014))∳⫺((⋰*⋻2296⨽⋰*⋻831)⪶≀⋏⋰*⋻846∇⊂⋱⋰*⋻1387)","cot":[{"info":"⋰*⋻2459∝⋰*⋻2014=⋰*⋻2463","layer":3},{"info":"⨩∲⋌⋰*⋻2463=⋰*⋻-2899","layer":2},{"info":"⋰*⋻2296⨽⋰*⋻831=⋰*⋻-14373737","layer":3},{"info":"⋰*⋻846∇⊂⋱⋰*⋻1387=⋰*⋻1135","layer":3},{"info":"⋰*⋻-14373737⪶≀⋏⋰*⋻1135=⋰*⋻8A57","layer":2},{"info":"⋰*⋻-2899∳⫺⋰*⋻8A57=⋰*⋻-2710A","layer":1},{"info":"⇁⨣⪵⋰*⋻-2710A=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"($3525$∝$2575$)↹⊜$1091$≝⊿$1304$≃(($6444$⨉)⪉⨛($3066$⫔⩽⩺$1914$))∠⫱($2065$∘$5513$)↢($1051$↓$7926$)⋳⪒((↴⪽⋼$3128$)⩅⪻⪻)","expression":"(⋰*⋻2715∝⋰*⋻1A31)↹⊜⋰*⋻902≝⊿⋰*⋻A86≃((⋰*⋻4929⨉)⪉⨛(⋰*⋻2338⫔⩽⩺⋰*⋻1490))∠⫱(⋰*⋻1608∘⋰*⋻4162)↢(⋰*⋻876↓⋰*⋻5A56)⋳⪒((↴⪽⋼⋰*⋻2394)⩅⪻⪻)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":117994,"operation_count":14,"complexity_ratio":8428.142857142857,"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":3525,"base":11},"right_expr":{"type":"numeric_atoms","value":2575,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1091,"base":11},"right_expr":{"type":"numeric_atoms","value":1304,"base":11}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":6444,"base":11}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3066,"base":11},"right_expr":{"type":"numeric_atoms","value":1914,"base":11}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2065,"base":11},"right_expr":{"type":"numeric_atoms","value":5513,"base":11}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1051,"base":11},"right_expr":{"type":"numeric_atoms","value":7926,"base":11}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3128,"base":11}}}}},"used_operators":["QvoQhV0rrE","YbVcJGFEVW","9bazX3JMtO","cTDWOvIxvz","OKKcZfAt5B","EWw2JM7wp4","aMUSaJuDRU","i9eR4S00cU","12rbrZMWeM","WR6HLWljOP","Z5m6OM72h2","Af076pWI7l","kHoXpA7yos","5TUYCnJO6w"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3525","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=2575, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3530","layer":3},{"info":"number node, value=1091","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=1304, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4232","layer":3},{"info":"compute binary expreesion, left_input=3530, right_input=-4232, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=23892","layer":2},{"info":"number node, value=6444","layer":4},{"info":"compute unary expreesion, input=6444, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=15216","layer":3},{"info":"number node, value=3066","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=1914, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15216, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23892, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":1},{"info":"number node, value=2065","layer":4},{"info":"number node, value=5513","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=5513, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4130","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=7926","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=7926, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=4130, right_input=-134, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3646","layer":2},{"info":"number node, value=3128","layer":4},{"info":"compute unary expreesion, input=3128, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3128","layer":3},{"info":"compute unary expreesion, input=3128, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-462369","layer":2},{"info":"compute binary expreesion, left_input=3646, right_input=-462369, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=469374","layer":1},{"info":"compute binary expreesion, left_input=69, right_input=469374, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2715∝⋰*⋻1A31)↹⊜⋰*⋻902≝⊿⋰*⋻A86≃((⋰*⋻4929⨉)⪉⨛(⋰*⋻2338⫔⩽⩺⋰*⋻1490))∠⫱(⋰*⋻1608∘⋰*⋻4162)↢(⋰*⋻876↓⋰*⋻5A56)⋳⪒((↴⪽⋼⋰*⋻2394)⩅⪻⪻)=⋰*⋻A22","reverse_text":"⋰*⋻A22=(⋰*⋻2715∝⋰*⋻1A31)↹⊜⋰*⋻902≝⊿⋰*⋻A86≃((⋰*⋻4929⨉)⪉⨛(⋰*⋻2338⫔⩽⩺⋰*⋻1490))∠⫱(⋰*⋻1608∘⋰*⋻4162)↢(⋰*⋻876↓⋰*⋻5A56)⋳⪒((↴⪽⋼⋰*⋻2394)⩅⪻⪻)","cot":[{"info":"⋰*⋻2715∝⋰*⋻1A31=⋰*⋻271A","layer":3},{"info":"⋰*⋻902≝⊿⋰*⋻A86=⋰*⋻-31A8","layer":3},{"info":"⋰*⋻271A↹⊜⋰*⋻-31A8=⋰*⋻16A50","layer":2},{"info":"⋰*⋻4929⨉=⋰*⋻10483","layer":3},{"info":"⋰*⋻2338⫔⩽⩺⋰*⋻1490=NaN","layer":3},{"info":"⋰*⋻10483⪉⨛NaN=NaN","layer":2},{"info":"⋰*⋻16A50≃NaN=⋰*⋻63","layer":1},{"info":"⋰*⋻1608∘⋰*⋻4162=⋰*⋻3115","layer":3},{"info":"⋰*⋻876↓⋰*⋻5A56=⋰*⋻-112","layer":3},{"info":"⋰*⋻3115↢⋰*⋻-112=⋰*⋻2815","layer":2},{"info":"↴⪽⋼⋰*⋻2394=⋰*⋻2394","layer":3},{"info":"⋰*⋻2394⩅⪻⪻=⋰*⋻-296426","layer":2},{"info":"⋰*⋻2815⋳⪒⋰*⋻-296426=⋰*⋻2A0714","layer":1},{"info":"⋰*⋻63∠⫱⋰*⋻2A0714=⋰*⋻A22","layer":0}]}
{"id":910,"expression_no_base_symbol":"(∟⋨(≯(⋂$2312$)))⫥∨⫟($1867$⨪↰⇹$2512$)⫯⪬∳(≔$5455$)∼($3213$⩌⋺$5470$∲⫓($4073$⨵⪆$8076$))","expression":"(∟⋨(≯(⋂⋰*⋻1812)))⫥∨⫟(⋰*⋻1448⨪↰⇹⋰*⋻1984)⫯⪬∳(≔⋰*⋻410A)∼(⋰*⋻2461⩌⋺⋰*⋻4123∲⫓(⋰*⋻3073⨵⪆⋰*⋻6082))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2216,"operation_count":11,"complexity_ratio":201.45454545454547,"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":2312,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1867,"base":11},"right_expr":{"type":"numeric_atoms","value":2512,"base":11}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":5455,"base":11}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3213,"base":11},"right_expr":{"type":"numeric_atoms","value":5470,"base":11}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4073,"base":11},"right_expr":{"type":"numeric_atoms","value":8076,"base":11}}}}},"used_operators":["KYD54nUTWz","ctOc4cKSDt","keWfFq85dY","BUOGQAYlQx","DyGG3AbaNP","d7ASUq0ydm","tmPS8pqC7x","8FLs4eVsLt","i8ToyICDmI","g7Hmc5v1ko","2DQ55sFlQl"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","tmPS8pqC7x","g55IO6H4Gj","JLbD19bQDL","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rJVOvQCfKK","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2312","layer":4},{"info":"compute unary expreesion, input=2312, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-31772","layer":3},{"info":"compute unary expreesion, input=-31772, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=484","layer":1},{"info":"number node, value=1867","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=2512, 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=1867","layer":3},{"info":"number node, value=5455","layer":4},{"info":"compute unary expreesion, input=5455, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-151446","layer":3},{"info":"compute binary expreesion, left_input=1867, right_input=-151446, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5668","layer":2},{"info":"number node, value=3213","layer":4},{"info":"number node, value=5470","layer":4},{"info":"compute binary expreesion, left_input=3213, right_input=5470, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8804","layer":3},{"info":"number node, value=4073","layer":4},{"info":"number node, value=8076","layer":4},{"info":"compute binary expreesion, left_input=4073, right_input=8076, 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=-8804, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-8804","layer":2},{"info":"compute binary expreesion, left_input=5668, right_input=-8804, 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=484, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∟⋨(≯(⋂⋰*⋻1812)))⫥∨⫟(⋰*⋻1448⨪↰⇹⋰*⋻1984)⫯⪬∳(≔⋰*⋻410A)∼(⋰*⋻2461⩌⋺⋰*⋻4123∲⫓(⋰*⋻3073⨵⪆⋰*⋻6082))=NaN","reverse_text":"NaN=(∟⋨(≯(⋂⋰*⋻1812)))⫥∨⫟(⋰*⋻1448⨪↰⇹⋰*⋻1984)⫯⪬∳(≔⋰*⋻410A)∼(⋰*⋻2461⩌⋺⋰*⋻4123∲⫓(⋰*⋻3073⨵⪆⋰*⋻6082))","cot":[{"info":"⋂⋰*⋻1812=⋰*⋻-21964","layer":3},{"info":"≯⋰*⋻-21964=⋰*⋻0","layer":2},{"info":"∟⋨⋰*⋻0=⋰*⋻400","layer":1},{"info":"⋰*⋻1448⨪↰⇹⋰*⋻1984=⋰*⋻1448","layer":3},{"info":"≔⋰*⋻410A=⋰*⋻-A3869","layer":3},{"info":"⋰*⋻1448⫯⪬∳⋰*⋻-A3869=⋰*⋻4293","layer":2},{"info":"⋰*⋻2461⩌⋺⋰*⋻4123=⋰*⋻-6684","layer":3},{"info":"⋰*⋻3073⨵⪆⋰*⋻6082=⋰*⋻136","layer":3},{"info":"⋰*⋻-6684∲⫓⋰*⋻136=⋰*⋻-6684","layer":2},{"info":"⋰*⋻4293∼⋰*⋻-6684=NaN","layer":1},{"info":"⋰*⋻400⫥∨⫟NaN=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"(($3604$⨐⩸⫘$1997$)⪎↠($3386$⨲)*($1772$⨿$2167$≑≱⪘))⇟⨁⪰","expression":"((⋰*⋻2787⨐⩸⫘⋰*⋻1556)⪎↠(⋰*⋻25A9⨲)*(⋰*⋻1371⨿⋰*⋻16A0≑≱⪘))⇟⨁⪰","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":512843,"operation_count":7,"complexity_ratio":73263.28571428571,"tree":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3604,"base":11},"right_expr":{"type":"numeric_atoms","value":1997,"base":11}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":3386,"base":11}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1772,"base":11},"right_expr":{"type":"numeric_atoms","value":2167,"base":11}}}}},"used_operators":["BX1lVwlMe0","9HNa5Wba9A","3tVxb0NHM4","fu6greOZ01","nLYMGWM7L8","tGSeddj7UK","abYXlopdE0"],"dependent_operators":["2DDjHMKMc0","xUOZtlo3hN","W4YGzv6Whe","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","3ViojmjbAp","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3604","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=1997, 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=3386","layer":4},{"info":"compute unary expreesion, input=3386, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=600659341","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=600659341, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":2},{"info":"number node, value=1772","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=2167, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=19971","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19971, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2787⨐⩸⫘⋰*⋻1556)⪎↠(⋰*⋻25A9⨲)*(⋰*⋻1371⨿⋰*⋻16A0≑≱⪘))⇟⨁⪰=NaN","reverse_text":"NaN=((⋰*⋻2787⨐⩸⫘⋰*⋻1556)⪎↠(⋰*⋻25A9⨲)*(⋰*⋻1371⨿⋰*⋻16A0≑≱⪘))⇟⨁⪰","cot":[{"info":"⋰*⋻2787⨐⩸⫘⋰*⋻1556=NaN","layer":3},{"info":"⋰*⋻25A9⨲=⋰*⋻289069287","layer":3},{"info":"NaN⪎↠⋰*⋻289069287=NaN","layer":2},{"info":"⋰*⋻1371⨿⋰*⋻16A0=⋰*⋻-270","layer":3},{"info":"⋰*⋻-270≑≱⪘=⋰*⋻14006","layer":2},{"info":"NaN*⋰*⋻14006=NaN","layer":1},{"info":"NaN⇟⨁⪰=NaN","layer":0}]}
{"id":912,"expression_no_base_symbol":"≅≯⇸($2951$⩚⊴⇥$2350$)⨿(⇜⊴$1811$)⨻⩈⩔(∂⩏⊆($1126$⊾⪯⋞$1368$))","expression":"≅≯⇸(⋰*⋻2243⩚⊴⇥⋰*⋻1847)⨿(⇜⊴⋰*⋻13A7)⨻⩈⩔(∂⩏⊆(⋰*⋻934⊾⪯⋞⋰*⋻1034))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16896,"operation_count":7,"complexity_ratio":2413.714285714286,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2951,"base":11},"right_expr":{"type":"numeric_atoms","value":2350,"base":11}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1811,"base":11}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1126,"base":11},"right_expr":{"type":"numeric_atoms","value":1368,"base":11}}}}},"used_operators":["apS25hmuAe","nEsXyWgiOK","abYXlopdE0","NTOWxs364D","XwDhCwWbUn","8WDwsbhb0R","HK0tfVPux8"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","14qkJME0vr","eLAdDNolq6","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⋰*⋻5277","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2951","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=2350, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5422","layer":3},{"info":"number node, value=1811","layer":4},{"info":"compute unary expreesion, input=1811, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-413682","layer":3},{"info":"compute binary expreesion, left_input=-5422, right_input=-413682, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1368, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2310","layer":3},{"info":"compute unary expreesion, input=2310, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-7009","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-7009, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute unary expreesion, input=-174, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=6981","layer":0}],"base":11,"result_base":11,"text":"≅≯⇸(⋰*⋻2243⩚⊴⇥⋰*⋻1847)⨿(⇜⊴⋰*⋻13A7)⨻⩈⩔(∂⩏⊆(⋰*⋻934⊾⪯⋞⋰*⋻1034))=⋰*⋻5277","reverse_text":"⋰*⋻5277=≅≯⇸(⋰*⋻2243⩚⊴⇥⋰*⋻1847)⨿(⇜⊴⋰*⋻13A7)⨻⩈⩔(∂⩏⊆(⋰*⋻934⊾⪯⋞⋰*⋻1034))","cot":[{"info":"⋰*⋻2243⩚⊴⇥⋰*⋻1847=⋰*⋻-408A","layer":3},{"info":"⇜⊴⋰*⋻13A7=⋰*⋻-262895","layer":3},{"info":"⋰*⋻-408A⨿⋰*⋻-262895=⋰*⋻61","layer":2},{"info":"⋰*⋻934⊾⪯⋞⋰*⋻1034=⋰*⋻1810","layer":3},{"info":"∂⩏⊆⋰*⋻1810=⋰*⋻-52A2","layer":2},{"info":"⋰*⋻61⨻⩈⩔⋰*⋻-52A2=⋰*⋻-149","layer":1},{"info":"≅≯⇸⋰*⋻-149=⋰*⋻5277","layer":0}]}
{"id":913,"expression_no_base_symbol":"((($4289$∋$1388$)⪣⫩)⨎$2721$∇⊂⋱$2291$≀⫉$3108$≀⫉$5401$)⨂≜((($4751$∙⊟$1592$)⩣⫁∢($1108$∖$2265$))∳⫺(($2789$↸$1469$)⨔≚≋($1123$⨭⪣$1282$)))","expression":"(((⋰*⋻324A∋⋰*⋻1052)⪣⫩)⨎⋰*⋻2054∇⊂⋱⋰*⋻17A3≀⫉⋰*⋻2376≀⫉⋰*⋻4070)⨂≜(((⋰*⋻362A∙⊟⋰*⋻1218)⩣⫁∢(⋰*⋻918∖⋰*⋻177A))∳⫺((⋰*⋻2106↸⋰*⋻1116)⨔≚≋(⋰*⋻931⨭⪣⋰*⋻A66)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10104,"operation_count":14,"complexity_ratio":721.7142857142857,"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":4289,"base":11},"right_expr":{"type":"numeric_atoms","value":1388,"base":11}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2721,"base":11},"right_expr":{"type":"numeric_atoms","value":2291,"base":11}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3108,"base":11},"right_expr":{"type":"numeric_atoms","value":5401,"base":11}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4751,"base":11},"right_expr":{"type":"numeric_atoms","value":1592,"base":11}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1108,"base":11},"right_expr":{"type":"numeric_atoms","value":2265,"base":11}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2789,"base":11},"right_expr":{"type":"numeric_atoms","value":1469,"base":11}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1123,"base":11},"right_expr":{"type":"numeric_atoms","value":1282,"base":11}}}}},"used_operators":["k1SHOSEABc","rJVOvQCfKK","iuk5sVOGFA","ukq6epAj5P","oZj3VtZNQx","nhYeJWJD5X","AzXXKTstlj","JDUIKTTSIa","SxTAKzQCrw","tXD093vOjl","Z57zeUYC9z","1eCjFl0mb9","kn8WO9XteQ"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4289","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=4289, right_input=1388, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3045292","layer":3},{"info":"compute unary expreesion, input=3045292, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=9135843","layer":2},{"info":"number node, value=2721","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=2721, right_input=2291, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4896","layer":3},{"info":"number node, value=3108","layer":4},{"info":"number node, value=5401","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=5401, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=4896, right_input=2822, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=9135843, right_input=2822, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2822","layer":1},{"info":"number node, value=4751","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=4751, right_input=1592, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=71609","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=2265, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=71609, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-143057","layer":2},{"info":"number node, value=2789","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=1469, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2789","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1282, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-156","layer":3},{"info":"compute binary expreesion, left_input=2789, right_input=-156, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=-143057, right_input=9872, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-591910","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-591910, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻324A∋⋰*⋻1052)⪣⫩)⨎⋰*⋻2054∇⊂⋱⋰*⋻17A3≀⫉⋰*⋻2376≀⫉⋰*⋻4070)⨂≜(((⋰*⋻362A∙⊟⋰*⋻1218)⩣⫁∢(⋰*⋻918∖⋰*⋻177A))∳⫺((⋰*⋻2106↸⋰*⋻1116)⨔≚≋(⋰*⋻931⨭⪣⋰*⋻A66)))=NaN","reverse_text":"NaN=(((⋰*⋻324A∋⋰*⋻1052)⪣⫩)⨎⋰*⋻2054∇⊂⋱⋰*⋻17A3≀⫉⋰*⋻2376≀⫉⋰*⋻4070)⨂≜(((⋰*⋻362A∙⊟⋰*⋻1218)⩣⫁∢(⋰*⋻918∖⋰*⋻177A))∳⫺((⋰*⋻2106↸⋰*⋻1116)⨔≚≋(⋰*⋻931⨭⪣⋰*⋻A66)))","cot":[{"info":"⋰*⋻324A∋⋰*⋻1052=⋰*⋻179AA78","layer":3},{"info":"⋰*⋻179AA78⪣⫩=⋰*⋻517A992","layer":2},{"info":"⋰*⋻2054∇⊂⋱⋰*⋻17A3=⋰*⋻3751","layer":3},{"info":"⋰*⋻2376≀⫉⋰*⋻4070=⋰*⋻2136","layer":3},{"info":"⋰*⋻3751≀⫉⋰*⋻2136=⋰*⋻2136","layer":2},{"info":"⋰*⋻517A992⨎⋰*⋻2136=⋰*⋻2136","layer":1},{"info":"⋰*⋻362A∙⊟⋰*⋻1218=⋰*⋻4988A","layer":3},{"info":"⋰*⋻918∖⋰*⋻177A=⋰*⋻0","layer":3},{"info":"⋰*⋻4988A⩣⫁∢⋰*⋻0=⋰*⋻-98532","layer":2},{"info":"⋰*⋻2106↸⋰*⋻1116=⋰*⋻2106","layer":3},{"info":"⋰*⋻931⨭⪣⋰*⋻A66=⋰*⋻-132","layer":3},{"info":"⋰*⋻2106⨔≚≋⋰*⋻-132=⋰*⋻7465","layer":2},{"info":"⋰*⋻-98532∳⫺⋰*⋻7465=⋰*⋻-374790","layer":1},{"info":"⋰*⋻2136⨂≜⋰*⋻-374790=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"((⊖$1586$)∌($2173$⨒$8316$)⊨(⪫⨮⊛$4949$)⪢$1313$↞⋁$3506$)⪒⊣⊆(⪡⇡≛($4713$⋻⩜⩜$1791$))⫁(⨦⪝($3819$+⪬∐$6035$))","expression":"((⊖⋰*⋻1212)∌(⋰*⋻16A6⨒⋰*⋻6280)⊨(⪫⨮⊛⋰*⋻379A)⪢⋰*⋻A94↞⋁⋰*⋻26A8)⪒⊣⊆(⪡⇡≛(⋰*⋻35A5⋻⩜⩜⋰*⋻1389))⫁(⨦⪝(⋰*⋻2962+⪬∐⋰*⋻4597))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3025525,"operation_count":13,"complexity_ratio":232732.6923076923,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1586,"base":11}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2173,"base":11},"right_expr":{"type":"numeric_atoms","value":8316,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":4949,"base":11}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1313,"base":11},"right_expr":{"type":"numeric_atoms","value":3506,"base":11}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4713,"base":11},"right_expr":{"type":"numeric_atoms","value":1791,"base":11}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3819,"base":11},"right_expr":{"type":"numeric_atoms","value":6035,"base":11}}}}},"used_operators":["eRqsBgTDFp","vg4gO5BX6G","8cLx32lpNA","U6pG0PXrV3","y75s1iXyHd","dWAJyo7jo9","w5FWba1tyO","RqrPlJkxDo","0ajvFaJAv0","qL4PrbW1Dq","oDCm7WA9JY","SUjycxNXIR","2GS7woTJqF"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","k8jYdgA6NY","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","cHh1gJQ2o6","AHs5Up7iyr","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","g55IO6H4Gj","D4vGDi5EA2"],"result":"⋰*⋻70751","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1586","layer":4},{"info":"compute unary expreesion, input=1586, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=2173","layer":4},{"info":"number node, value=8316","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=8316, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-12666","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-12666, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=12666","layer":2},{"info":"number node, value=4949","layer":4},{"info":"compute unary expreesion, input=4949, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1313","layer":4},{"info":"number node, value=3506","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=3506, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=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=12666, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=51695","layer":1},{"info":"number node, value=4713","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=4713, right_input=1791, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9426","layer":3},{"info":"compute unary expreesion, input=9426, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-9426","layer":2},{"info":"number node, value=3819","layer":4},{"info":"number node, value=6035","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=6035, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11457","layer":3},{"info":"compute unary expreesion, input=-11457, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=-9426, right_input=-1884, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=51695, right_input=160, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=103390","layer":0}],"base":11,"result_base":11,"text":"((⊖⋰*⋻1212)∌(⋰*⋻16A6⨒⋰*⋻6280)⊨(⪫⨮⊛⋰*⋻379A)⪢⋰*⋻A94↞⋁⋰*⋻26A8)⪒⊣⊆(⪡⇡≛(⋰*⋻35A5⋻⩜⩜⋰*⋻1389))⫁(⨦⪝(⋰*⋻2962+⪬∐⋰*⋻4597))=⋰*⋻70751","reverse_text":"⋰*⋻70751=((⊖⋰*⋻1212)∌(⋰*⋻16A6⨒⋰*⋻6280)⊨(⪫⨮⊛⋰*⋻379A)⪢⋰*⋻A94↞⋁⋰*⋻26A8)⪒⊣⊆(⪡⇡≛(⋰*⋻35A5⋻⩜⩜⋰*⋻1389))⫁(⨦⪝(⋰*⋻2962+⪬∐⋰*⋻4597))","cot":[{"info":"⊖⋰*⋻1212=⋰*⋻0","layer":3},{"info":"⋰*⋻16A6⨒⋰*⋻6280=⋰*⋻-9575","layer":3},{"info":"⋰*⋻0∌⋰*⋻-9575=⋰*⋻9575","layer":2},{"info":"⪫⨮⊛⋰*⋻379A=NaN","layer":3},{"info":"⋰*⋻A94↞⋁⋰*⋻26A8=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"⋰*⋻9575⊨NaN=⋰*⋻35926","layer":1},{"info":"⋰*⋻35A5⋻⩜⩜⋰*⋻1389=⋰*⋻709A","layer":3},{"info":"⪡⇡≛⋰*⋻709A=⋰*⋻-709A","layer":2},{"info":"⋰*⋻2962+⪬∐⋰*⋻4597=⋰*⋻-8676","layer":3},{"info":"⨦⪝⋰*⋻-8676=⋰*⋻-1463","layer":2},{"info":"⋰*⋻-709A⫁⋰*⋻-1463=⋰*⋻136","layer":1},{"info":"⋰*⋻35926⪒⊣⊆⋰*⋻136=⋰*⋻70751","layer":0}]}
{"id":915,"expression_no_base_symbol":"(⇘$3706$)∴($1526$⇄$2040$)∇⊂⋱(($4100$⩣⫁∢$4432$)⩘⨬⇊)⪁((⊿$4250$)⇀∌)⪔($5769$⨽$2733$)≠≀(∨∊⋏$7992$)","expression":"(⇘⋰*⋻286A)∴(⋰*⋻1168⇄⋰*⋻1595)∇⊂⋱((⋰*⋻3098⩣⫁∢⋰*⋻336A)⩘⨬⇊)⪁((⊿⋰*⋻3214)⇀∌)⪔(⋰*⋻4375⨽⋰*⋻2065)≠≀(∨∊⋏⋰*⋻6006)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3580114,"operation_count":13,"complexity_ratio":275393.3846153846,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3706,"base":11}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1526,"base":11},"right_expr":{"type":"numeric_atoms","value":2040,"base":11}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4100,"base":11},"right_expr":{"type":"numeric_atoms","value":4432,"base":11}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4250,"base":11}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5769,"base":11},"right_expr":{"type":"numeric_atoms","value":2733,"base":11}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":7992,"base":11}}}}},"used_operators":["I7sXao9hZE","nhYeJWJD5X","hrf7POJlIJ","MGuIdZPyUC","3EYGwJThht","XXmTpEpWTW","JDUIKTTSIa","GjBEYRfMaF","2k53nXOpI5","DO4fhlbJSI","IwW236VD4Y","8HhzD0ZcuI","R5aXW34M0v"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3706","layer":4},{"info":"compute unary expreesion, input=3706, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=216742","layer":3},{"info":"number node, value=1526","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=2040, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=216742, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=435132","layer":2},{"info":"number node, value=4100","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=4100, right_input=4432, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8039","layer":3},{"info":"compute unary expreesion, input=-8039, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=435132, right_input=-116, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=869718","layer":1},{"info":"number node, value=4250","layer":4},{"info":"compute unary expreesion, input=4250, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-17738","layer":3},{"info":"compute unary expreesion, input=-17738, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"number node, value=5769","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=5769, right_input=2733, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-99850968","layer":3},{"info":"number node, value=7992","layer":4},{"info":"compute unary expreesion, input=7992, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=178607","layer":3},{"info":"compute binary expreesion, left_input=-99850968, right_input=178607, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=199702242","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=199702242, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=869718, right_input=450, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇘⋰*⋻286A)∴(⋰*⋻1168⇄⋰*⋻1595)∇⊂⋱((⋰*⋻3098⩣⫁∢⋰*⋻336A)⩘⨬⇊)⪁((⊿⋰*⋻3214)⇀∌)⪔(⋰*⋻4375⨽⋰*⋻2065)≠≀(∨∊⋏⋰*⋻6006)=NaN","reverse_text":"NaN=(⇘⋰*⋻286A)∴(⋰*⋻1168⇄⋰*⋻1595)∇⊂⋱((⋰*⋻3098⩣⫁∢⋰*⋻336A)⩘⨬⇊)⪁((⊿⋰*⋻3214)⇀∌)⪔(⋰*⋻4375⨽⋰*⋻2065)≠≀(∨∊⋏⋰*⋻6006)","cot":[{"info":"⇘⋰*⋻286A=⋰*⋻138929","layer":3},{"info":"⋰*⋻1168⇄⋰*⋻1595=⋰*⋻0","layer":3},{"info":"⋰*⋻138929∴⋰*⋻0=⋰*⋻277A15","layer":2},{"info":"⋰*⋻3098⩣⫁∢⋰*⋻336A=⋰*⋻-6049","layer":3},{"info":"⋰*⋻-6049⩘⨬⇊=⋰*⋻-A6","layer":2},{"info":"⋰*⋻277A15∇⊂⋱⋰*⋻-A6=⋰*⋻544483","layer":1},{"info":"⊿⋰*⋻3214=⋰*⋻-12366","layer":3},{"info":"⋰*⋻-12366⇀∌=⋰*⋻A3","layer":2},{"info":"⋰*⋻4375⨽⋰*⋻2065=⋰*⋻-513AA568","layer":3},{"info":"∨∊⋏⋰*⋻6006=⋰*⋻112210","layer":3},{"info":"⋰*⋻-513AA568≠≀⋰*⋻112210=⋰*⋻A27AA283","layer":2},{"info":"⋰*⋻A3⪔⋰*⋻A27AA283=⋰*⋻37A","layer":1},{"info":"⋰*⋻544483⪁⋰*⋻37A=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"($3827$↳≱$5497$⪨≂($4435$∽$5418$))⫗⊷⫓(($2459$≃⋄)↢($1197$⪔$1399$))⫢⨠(≛(⪸$2397$)⪟⇏($2014$≀⩗∶$6631$))","expression":"(⋰*⋻296A↳≱⋰*⋻4148⪨≂(⋰*⋻3372∽⋰*⋻4086))⫗⊷⫓((⋰*⋻1936≃⋄)↢(⋰*⋻999⪔⋰*⋻1062))⫢⨠(≛(⪸⋰*⋻188A)⪟⇏(⋰*⋻1571≀⩗∶⋰*⋻4A89))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":218665,"operation_count":12,"complexity_ratio":18222.083333333332,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":5497,"base":11}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4435,"base":11},"right_expr":{"type":"numeric_atoms","value":5418,"base":11}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":2459,"base":11}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1197,"base":11},"right_expr":{"type":"numeric_atoms","value":1399,"base":11}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2397,"base":11}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2014,"base":11},"right_expr":{"type":"numeric_atoms","value":6631,"base":11}}}}},"used_operators":["xlXykHWxX1","zashukvMKz","sdazOOVcIp","JwTKLfZU96","y4ImoPnbV5","WR6HLWljOP","aN9a90urxU","GjBEYRfMaF","W7eaUhjymW","GODebY97qR","86A5ENbKR9","8INZBEW696"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","QMFrweE19q","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","uFcxV4UQCh","jLgFTUHLKL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⋰*⋻1304","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3827","layer":4},{"info":"number node, value=5497","layer":4},{"info":"compute binary expreesion, left_input=3827, right_input=5497, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=4435","layer":4},{"info":"number node, value=5418","layer":4},{"info":"compute binary expreesion, left_input=4435, right_input=5418, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-38251","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-38251, 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=76604","layer":2},{"info":"number node, value=2459","layer":4},{"info":"compute unary expreesion, input=2459, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1399, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=450, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=280","layer":2},{"info":"compute binary expreesion, left_input=76604, right_input=280, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=2397","layer":4},{"info":"compute unary expreesion, input=2397, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-40540","layer":3},{"info":"number node, value=2014","layer":4},{"info":"number node, value=6631","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=6631, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-9","layer":3},{"info":"compute binary expreesion, left_input=-40540, right_input=-9, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-237","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-237, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=1698","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻296A↳≱⋰*⋻4148⪨≂(⋰*⋻3372∽⋰*⋻4086))⫗⊷⫓((⋰*⋻1936≃⋄)↢(⋰*⋻999⪔⋰*⋻1062))⫢⨠(≛(⪸⋰*⋻188A)⪟⇏(⋰*⋻1571≀⩗∶⋰*⋻4A89))=⋰*⋻1304","reverse_text":"⋰*⋻1304=(⋰*⋻296A↳≱⋰*⋻4148⪨≂(⋰*⋻3372∽⋰*⋻4086))⫗⊷⫓((⋰*⋻1936≃⋄)↢(⋰*⋻999⪔⋰*⋻1062))⫢⨠(≛(⪸⋰*⋻188A)⪟⇏(⋰*⋻1571≀⩗∶⋰*⋻4A89))","cot":[{"info":"⋰*⋻296A↳≱⋰*⋻4148=⋰*⋻0","layer":3},{"info":"⋰*⋻3372∽⋰*⋻4086=⋰*⋻-26814","layer":3},{"info":"⋰*⋻0⪨≂⋰*⋻-26814=⋰*⋻52610","layer":2},{"info":"⋰*⋻1936≃⋄=⋰*⋻635","layer":3},{"info":"⋰*⋻999⪔⋰*⋻1062=⋰*⋻37A","layer":3},{"info":"⋰*⋻635↢⋰*⋻37A=⋰*⋻235","layer":2},{"info":"⋰*⋻52610⫗⊷⫓⋰*⋻235=⋰*⋻-112","layer":1},{"info":"⪸⋰*⋻188A=⋰*⋻-28505","layer":3},{"info":"⋰*⋻1571≀⩗∶⋰*⋻4A89=⋰*⋻-9","layer":3},{"info":"⋰*⋻-28505⪟⇏⋰*⋻-9=⋰*⋻0","layer":2},{"info":"≛⋰*⋻0=⋰*⋻-1A6","layer":1},{"info":"⋰*⋻-112⫢⨠⋰*⋻-1A6=⋰*⋻1304","layer":0}]}
{"id":917,"expression_no_base_symbol":"(⊙↵-($1477$⩏))∺≝⩲($2172$⩘$2480$+⇶⊼($4480$⇼⇔∾$1102$))⪄((⨣⨃⇪$1537$)⩼⇪↪($4652$≃$3254$))↳≱($5513$⪃⊛⇣$7427$⨸⪁(⨣⨃⇪$3857$))","expression":"(⊙↵-(⋰*⋻1123⩏))∺≝⩲(⋰*⋻16A5⩘⋰*⋻1955+⇶⊼(⋰*⋻3403⇼⇔∾⋰*⋻912))⪄((⨣⨃⇪⋰*⋻1178)⩼⇪↪(⋰*⋻354A≃⋰*⋻2499))↳≱(⋰*⋻4162⪃⊛⇣⋰*⋻5642⨸⪁(⨣⨃⇪⋰*⋻2997))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1491,"operation_count":14,"complexity_ratio":106.5,"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":1477,"base":11}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2172,"base":11},"right_expr":{"type":"numeric_atoms","value":2480,"base":11}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4480,"base":11},"right_expr":{"type":"numeric_atoms","value":1102,"base":11}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1537,"base":11}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4652,"base":11},"right_expr":{"type":"numeric_atoms","value":3254,"base":11}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5513,"base":11},"right_expr":{"type":"numeric_atoms","value":7427,"base":11}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3857,"base":11}}}}},"used_operators":["SUmda5xLS4","KPf6cnQVty","oWn0xqSxBt","iA2gmKZ3Wj","TpPTUOHfaN","cHh1gJQ2o6","tifHPKVTfV","JwTKLfZU96","ocnLzx9CaJ","AcOhelriW5","YbVcJGFEVW","g55IO6H4Gj","rrgAzCduG9"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","z6LnFrNh4i","Tcnh7f0tEr","AHs5Up7iyr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⋰*⋻-13942","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":4},{"info":"compute unary expreesion, input=1477, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', 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=2172","layer":4},{"info":"number node, value=2480","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=2480, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4480","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=4480, right_input=1102, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3378","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3378, 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 = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=4652","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=3254, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-18648","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=-18648, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=132563","layer":2},{"info":"number node, value=5513","layer":4},{"info":"number node, value=7427","layer":4},{"info":"compute binary expreesion, left_input=5513, right_input=7427, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=3857","layer":4},{"info":"compute unary expreesion, input=3857, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1405, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5278","layer":2},{"info":"compute binary expreesion, left_input=132563, right_input=5278, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-19769","layer":0}],"base":11,"result_base":11,"text":"(⊙↵-(⋰*⋻1123⩏))∺≝⩲(⋰*⋻16A5⩘⋰*⋻1955+⇶⊼(⋰*⋻3403⇼⇔∾⋰*⋻912))⪄((⨣⨃⇪⋰*⋻1178)⩼⇪↪(⋰*⋻354A≃⋰*⋻2499))↳≱(⋰*⋻4162⪃⊛⇣⋰*⋻5642⨸⪁(⨣⨃⇪⋰*⋻2997))=⋰*⋻-13942","reverse_text":"⋰*⋻-13942=(⊙↵-(⋰*⋻1123⩏))∺≝⩲(⋰*⋻16A5⩘⋰*⋻1955+⇶⊼(⋰*⋻3403⇼⇔∾⋰*⋻912))⪄((⨣⨃⇪⋰*⋻1178)⩼⇪↪(⋰*⋻354A≃⋰*⋻2499))↳≱(⋰*⋻4162⪃⊛⇣⋰*⋻5642⨸⪁(⨣⨃⇪⋰*⋻2997))","cot":[{"info":"⋰*⋻1123⩏=⋰*⋻0","layer":3},{"info":"⊙↵-⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻16A5⩘⋰*⋻1955=⋰*⋻136","layer":3},{"info":"⋰*⋻3403⇼⇔∾⋰*⋻912=⋰*⋻-25A1","layer":3},{"info":"⋰*⋻136+⇶⊼⋰*⋻-25A1=NaN","layer":2},{"info":"⋰*⋻0∺≝⩲NaN=⋰*⋻136","layer":1},{"info":"⨣⨃⇪⋰*⋻1178=⋰*⋻1068","layer":3},{"info":"⋰*⋻354A≃⋰*⋻2499=⋰*⋻-13013","layer":3},{"info":"⋰*⋻1068⩼⇪↪⋰*⋻-13013=⋰*⋻90662","layer":2},{"info":"⋰*⋻4162⪃⊛⇣⋰*⋻5642=⋰*⋻A22","layer":3},{"info":"⨣⨃⇪⋰*⋻2997=⋰*⋻1068","layer":3},{"info":"⋰*⋻A22⨸⪁⋰*⋻1068=⋰*⋻3A69","layer":2},{"info":"⋰*⋻90662↳≱⋰*⋻3A69=⋰*⋻0","layer":1},{"info":"⋰*⋻136⪄⋰*⋻0=⋰*⋻-13942","layer":0}]}
{"id":918,"expression_no_base_symbol":"(⪫⨮⊛(($3184$⨉)⊱⇼⊻$5978$⊢$4872$))↳∿⪆(($5568$≀⩗∶$1001$)≃$3236$∋$5177$)⫗⊷⫓(⇜($1982$↙$3581$))","expression":"(⪫⨮⊛((⋰*⋻2435⨉)⊱⇼⊻⋰*⋻4545⊢⋰*⋻372A))↳∿⪆((⋰*⋻4202≀⩗∶⋰*⋻830)≃⋰*⋻2482∋⋰*⋻3987)⫗⊷⫓(⇜(⋰*⋻1542↙⋰*⋻2766))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11609717,"operation_count":11,"complexity_ratio":1055428.8181818181,"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":3184,"base":11}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":5978,"base":11},"right_expr":{"type":"numeric_atoms","value":4872,"base":11}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5568,"base":11},"right_expr":{"type":"numeric_atoms","value":1001,"base":11}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3236,"base":11},"right_expr":{"type":"numeric_atoms","value":5177,"base":11}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1982,"base":11},"right_expr":{"type":"numeric_atoms","value":3581,"base":11}}}}},"used_operators":["Cw4SuJJGHO","w5FWba1tyO","FyVja0WsTP","aMUSaJuDRU","5twsqlHp2o","zashukvMKz","YbVcJGFEVW","8INZBEW696","ukq6epAj5P","lFBm8KRb8F","yyfyN0ffXY"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3184","layer":4},{"info":"compute unary expreesion, input=3184, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=8696","layer":3},{"info":"number node, value=5978","layer":4},{"info":"number node, value=4872","layer":4},{"info":"compute binary expreesion, left_input=5978, right_input=4872, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12200","layer":3},{"info":"compute binary expreesion, left_input=8696, right_input=-12200, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=37586","layer":2},{"info":"compute unary expreesion, input=37586, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"number node, value=5568","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5568, right_input=1001, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3236","layer":4},{"info":"number node, value=5177","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=5177, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10841344","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10841344, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-40","layer":2},{"info":"number node, value=1982","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=3581, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10743","layer":3},{"info":"compute unary expreesion, input=-10743, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute binary expreesion, left_input=-40, right_input=232, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪫⨮⊛((⋰*⋻2435⨉)⊱⇼⊻⋰*⋻4545⊢⋰*⋻372A))↳∿⪆((⋰*⋻4202≀⩗∶⋰*⋻830)≃⋰*⋻2482∋⋰*⋻3987)⫗⊷⫓(⇜(⋰*⋻1542↙⋰*⋻2766))=NaN","reverse_text":"NaN=(⪫⨮⊛((⋰*⋻2435⨉)⊱⇼⊻⋰*⋻4545⊢⋰*⋻372A))↳∿⪆((⋰*⋻4202≀⩗∶⋰*⋻830)≃⋰*⋻2482∋⋰*⋻3987)⫗⊷⫓(⇜(⋰*⋻1542↙⋰*⋻2766))","cot":[{"info":"⋰*⋻2435⨉=⋰*⋻6596","layer":3},{"info":"⋰*⋻4545⊢⋰*⋻372A=⋰*⋻-9191","layer":3},{"info":"⋰*⋻6596⊱⇼⊻⋰*⋻-9191=⋰*⋻2626A","layer":2},{"info":"⪫⨮⊛⋰*⋻2626A=NaN","layer":1},{"info":"⋰*⋻4202≀⩗∶⋰*⋻830=⋰*⋻0","layer":3},{"info":"⋰*⋻2482∋⋰*⋻3987=⋰*⋻6135298","layer":3},{"info":"⋰*⋻0≃⋰*⋻6135298=⋰*⋻-37","layer":2},{"info":"⋰*⋻1542↙⋰*⋻2766=⋰*⋻-8087","layer":3},{"info":"⇜⋰*⋻-8087=⋰*⋻1A1","layer":2},{"info":"⋰*⋻-37⫗⊷⫓⋰*⋻1A1=⋰*⋻-112","layer":1},{"info":"NaN↳∿⪆⋰*⋻-112=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"(($3404$⩺⪪$4004$)⇷(≻⋜$2030$))⋹⋡⊁(∮($1294$≹⇙⪍$1845$))↳≱((($5509$⨑⩅≇$5184$)⪗)↡⊰⫅(↡$5989$)∣(⊵⊁$2029$))","expression":"((⋰*⋻2615⩺⪪⋰*⋻3010)⇷(≻⋜⋰*⋻1586))⋹⋡⊁(∮(⋰*⋻A77≹⇙⪍⋰*⋻1428))↳≱(((⋰*⋻4159⨑⩅≇⋰*⋻3993)⪗)↡⊰⫅(↡⋰*⋻4555)∣(⊵⊁⋰*⋻1585))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":811832,"operation_count":13,"complexity_ratio":62448.61538461538,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":4004,"base":11}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2030,"base":11}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1294,"base":11},"right_expr":{"type":"numeric_atoms","value":1845,"base":11}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5509,"base":11},"right_expr":{"type":"numeric_atoms","value":5184,"base":11}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":5989,"base":11}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2029,"base":11}}}}},"used_operators":["JwTKLfZU96","As8RqfVLgs","mp7IySMOzn","uvdQJvN4PV","3tj9sqzovi","CqXKPLVYql","AHs5Up7iyr","VCtxkLNOzz","VEQNXA0ZBg","h92wMvzauj","PPChnnnBFF","MXaNJeIAZ3","AvED76WdY7"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","dWAJyo7jo9","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","dWAJyo7jo9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","uBihLCJcMX","k8jYdgA6NY"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3404","layer":4},{"info":"number node, value=4004","layer":4},{"info":"compute binary expreesion, left_input=3404, right_input=4004, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=2030","layer":4},{"info":"compute unary expreesion, input=2030, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1294","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1294, 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 = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":1},{"info":"number node, value=5509","layer":4},{"info":"number node, value=5184","layer":4},{"info":"compute binary expreesion, left_input=5509, right_input=5184, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-16527","layer":3},{"info":"compute unary expreesion, input=-16527, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=5989","layer":4},{"info":"compute unary expreesion, input=5989, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=53901","layer":3},{"info":"number node, value=2029","layer":4},{"info":"compute unary expreesion, input=2029, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=11104","layer":3},{"info":"compute binary expreesion, left_input=53901, right_input=11104, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=53901","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=53901, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=107802","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=107802, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2615⩺⪪⋰*⋻3010)⇷(≻⋜⋰*⋻1586))⋹⋡⊁(∮(⋰*⋻A77≹⇙⪍⋰*⋻1428))↳≱(((⋰*⋻4159⨑⩅≇⋰*⋻3993)⪗)↡⊰⫅(↡⋰*⋻4555)∣(⊵⊁⋰*⋻1585))=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻2615⩺⪪⋰*⋻3010)⇷(≻⋜⋰*⋻1586))⋹⋡⊁(∮(⋰*⋻A77≹⇙⪍⋰*⋻1428))↳≱(((⋰*⋻4159⨑⩅≇⋰*⋻3993)⪗)↡⊰⫅(↡⋰*⋻4555)∣(⊵⊁⋰*⋻1585))","cot":[{"info":"⋰*⋻2615⩺⪪⋰*⋻3010=⋰*⋻-1403","layer":3},{"info":"≻⋜⋰*⋻1586=NaN","layer":3},{"info":"⋰*⋻-1403⇷NaN=NaN","layer":2},{"info":"⋰*⋻A77≹⇙⪍⋰*⋻1428=NaN","layer":3},{"info":"∮NaN=NaN","layer":2},{"info":"NaN⋹⋡⊁NaN=NaN","layer":1},{"info":"⋰*⋻4159⨑⩅≇⋰*⋻3993=⋰*⋻-11465","layer":3},{"info":"⋰*⋻-11465⪗=NaN","layer":2},{"info":"↡⋰*⋻4555=⋰*⋻37551","layer":3},{"info":"⊵⊁⋰*⋻1585=⋰*⋻8385","layer":3},{"info":"⋰*⋻37551∣⋰*⋻8385=⋰*⋻37551","layer":2},{"info":"NaN↡⊰⫅⋰*⋻37551=⋰*⋻73AA2","layer":1},{"info":"NaN↳≱⋰*⋻73AA2=⋰*⋻0","layer":0}]}
{"id":920,"expression_no_base_symbol":"($1466$⊬⨰$1572$∁)↳≱(($1056$⇷$5191$)⨚($2505$⨳⩥⨓$2409$))∠⫱(⊄⩳↩(⊥$1398$))⊔($1689$⊎←↗)⊲⩕⊾($1459$⪷)","expression":"(⋰*⋻1113⊬⨰⋰*⋻11AA∁)↳≱((⋰*⋻880⇷⋰*⋻399A)⨚(⋰*⋻1978⨳⩥⨓⋰*⋻18A0))∠⫱(⊄⩳↩(⊥⋰*⋻1061))⊔(⋰*⋻12A6⊎←↗)⊲⩕⊾(⋰*⋻1107⪷)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16439,"operation_count":13,"complexity_ratio":1264.5384615384614,"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":1466,"base":11},"right_expr":{"type":"numeric_atoms","value":1572,"base":11}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1056,"base":11},"right_expr":{"type":"numeric_atoms","value":5191,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2505,"base":11},"right_expr":{"type":"numeric_atoms","value":2409,"base":11}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1398,"base":11}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":1689,"base":11}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1459,"base":11}}}}},"used_operators":["QvoQhV0rrE","JwTKLfZU96","jdwGQqwJi5","s3Fd5m9Dh2","nREPSIbpBE","mp7IySMOzn","nCS4ZIUYfx","E4l6HwMY31","8w2t5hMYqp","Q3PJZHRvZv","DmTXOeWf9t","dwb5p0fa6d","Qctrpi3WzA"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2DDjHMKMc0","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","BjRHVeLaeN","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","COABgblf1C","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=1572, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6698","layer":3},{"info":"compute unary expreesion, input=6698, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=6698","layer":2},{"info":"number node, value=1056","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=5191, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10382","layer":3},{"info":"number node, value=2505","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=2505, right_input=2409, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-96","layer":3},{"info":"compute binary expreesion, left_input=10382, right_input=-96, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=22082","layer":2},{"info":"compute binary expreesion, left_input=6698, right_input=22082, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘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=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-2693","layer":3},{"info":"number node, value=1459","layer":4},{"info":"compute unary expreesion, input=1459, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2693, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1113⊬⨰⋰*⋻11AA∁)↳≱((⋰*⋻880⇷⋰*⋻399A)⨚(⋰*⋻1978⨳⩥⨓⋰*⋻18A0))∠⫱(⊄⩳↩(⊥⋰*⋻1061))⊔(⋰*⋻12A6⊎←↗)⊲⩕⊾(⋰*⋻1107⪷)=NaN","reverse_text":"NaN=(⋰*⋻1113⊬⨰⋰*⋻11AA∁)↳≱((⋰*⋻880⇷⋰*⋻399A)⨚(⋰*⋻1978⨳⩥⨓⋰*⋻18A0))∠⫱(⊄⩳↩(⊥⋰*⋻1061))⊔(⋰*⋻12A6⊎←↗)⊲⩕⊾(⋰*⋻1107⪷)","cot":[{"info":"⋰*⋻1113⊬⨰⋰*⋻11AA=⋰*⋻503A","layer":3},{"info":"⋰*⋻503A∁=⋰*⋻503A","layer":2},{"info":"⋰*⋻880⇷⋰*⋻399A=⋰*⋻7889","layer":3},{"info":"⋰*⋻1978⨳⩥⨓⋰*⋻18A0=⋰*⋻-88","layer":3},{"info":"⋰*⋻7889⨚⋰*⋻-88=⋰*⋻15655","layer":2},{"info":"⋰*⋻503A↳≱⋰*⋻15655=⋰*⋻0","layer":1},{"info":"⊥⋰*⋻1061=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⋰*⋻12A6⊎←↗=⋰*⋻-2029","layer":3},{"info":"⋰*⋻1107⪷=NaN","layer":3},{"info":"⋰*⋻-2029⊲⩕⊾NaN=NaN","layer":2},{"info":"NaN⊔NaN=NaN","layer":1},{"info":"⋰*⋻0∠⫱NaN=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"(($6207$⪚$3022$≬⇓$1636$⪒⊣⊆$5816$)⨻⩈⩔($4752$⪃↞⩐)⊮⊟↴($5334$∪⫐$5235$))∌((($5345$⨔≚≋$1658$)⫠↝⫳)∕⩚$4950$⨻⩈⩔$1053$⇴($1016$⫲≸⪮$7315$))","expression":"((⋰*⋻4733⪚⋰*⋻22A8≬⇓⋰*⋻1258⪒⊣⊆⋰*⋻4408)⨻⩈⩔(⋰*⋻3630⪃↞⩐)⊮⊟↴(⋰*⋻400A∪⫐⋰*⋻3A2A))∌(((⋰*⋻401A⨔≚≋⋰*⋻1278)⫠↝⫳)∕⩚⋰*⋻37A0⨻⩈⩔⋰*⋻878⇴(⋰*⋻844⫲≸⪮⋰*⋻5550))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":318614,"operation_count":14,"complexity_ratio":22758.14285714286,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":6207,"base":11},"right_expr":{"type":"numeric_atoms","value":3022,"base":11}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1636,"base":11},"right_expr":{"type":"numeric_atoms","value":5816,"base":11}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":4752,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5334,"base":11},"right_expr":{"type":"numeric_atoms","value":5235,"base":11}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5345,"base":11},"right_expr":{"type":"numeric_atoms","value":1658,"base":11}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4950,"base":11},"right_expr":{"type":"numeric_atoms","value":1053,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1016,"base":11},"right_expr":{"type":"numeric_atoms","value":7315,"base":11}}}}},"used_operators":["8cLx32lpNA","nEsXyWgiOK","jWTQ2TZYIH","HrjLwUk87U","eRqsBgTDFp","QDVgd2eftb","grXIztHqDa","7YooWSwCyH","z9ffQ9n5Zr","8n5YIzOsVS","Z57zeUYC9z","4JB6nKBMSY","P3lXMJvFrc"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","sdazOOVcIp","W4YGzv6Whe","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","rJVOvQCfKK","2DDjHMKMc0","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6207","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=6207, right_input=3022, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6014","layer":3},{"info":"number node, value=1636","layer":4},{"info":"number node, value=5816","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=5816, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3272","layer":3},{"info":"compute binary expreesion, left_input=6014, right_input=3272, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=4752","layer":4},{"info":"compute unary expreesion, input=4752, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=28818","layer":3},{"info":"number node, value=5334","layer":4},{"info":"number node, value=5235","layer":4},{"info":"compute binary expreesion, left_input=5334, right_input=5235, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5334","layer":3},{"info":"compute binary expreesion, left_input=28818, right_input=5334, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=5345","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=5345, right_input=1658, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=316527","layer":2},{"info":"number node, value=4950","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=4950, right_input=1053, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=31199","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=7315","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=7315, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1016","layer":3},{"info":"compute binary expreesion, left_input=31199, right_input=1016, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=188840","layer":2},{"info":"compute binary expreesion, left_input=316527, right_input=188840, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-316530","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-316530, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-174","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻4733⪚⋰*⋻22A8≬⇓⋰*⋻1258⪒⊣⊆⋰*⋻4408)⨻⩈⩔(⋰*⋻3630⪃↞⩐)⊮⊟↴(⋰*⋻400A∪⫐⋰*⋻3A2A))∌(((⋰*⋻401A⨔≚≋⋰*⋻1278)⫠↝⫳)∕⩚⋰*⋻37A0⨻⩈⩔⋰*⋻878⇴(⋰*⋻844⫲≸⪮⋰*⋻5550))=⋰*⋻-149","reverse_text":"⋰*⋻-149=((⋰*⋻4733⪚⋰*⋻22A8≬⇓⋰*⋻1258⪒⊣⊆⋰*⋻4408)⨻⩈⩔(⋰*⋻3630⪃↞⩐)⊮⊟↴(⋰*⋻400A∪⫐⋰*⋻3A2A))∌(((⋰*⋻401A⨔≚≋⋰*⋻1278)⫠↝⫳)∕⩚⋰*⋻37A0⨻⩈⩔⋰*⋻878⇴(⋰*⋻844⫲≸⪮⋰*⋻5550))","cot":[{"info":"⋰*⋻4733⪚⋰*⋻22A8=⋰*⋻4578","layer":3},{"info":"⋰*⋻1258⪒⊣⊆⋰*⋻4408=⋰*⋻2505","layer":3},{"info":"⋰*⋻4578≬⇓⋰*⋻2505=⋰*⋻-20","layer":2},{"info":"⋰*⋻3630⪃↞⩐=⋰*⋻1A719","layer":3},{"info":"⋰*⋻400A∪⫐⋰*⋻3A2A=⋰*⋻400A","layer":3},{"info":"⋰*⋻1A719⊮⊟↴⋰*⋻400A=⋰*⋻0","layer":2},{"info":"⋰*⋻-20⨻⩈⩔⋰*⋻0=⋰*⋻-149","layer":1},{"info":"⋰*⋻401A⨔≚≋⋰*⋻1278=⋰*⋻7465","layer":3},{"info":"⋰*⋻7465⫠↝⫳=⋰*⋻1A68A2","layer":2},{"info":"⋰*⋻37A0⨻⩈⩔⋰*⋻878=⋰*⋻21493","layer":3},{"info":"⋰*⋻844⫲≸⪮⋰*⋻5550=⋰*⋻844","layer":3},{"info":"⋰*⋻21493⇴⋰*⋻844=⋰*⋻119973","layer":2},{"info":"⋰*⋻1A68A2∕⩚⋰*⋻119973=⋰*⋻-1A68A5","layer":1},{"info":"⋰*⋻-149∌⋰*⋻-1A68A5=⋰*⋻-149","layer":0}]}
{"id":922,"expression_no_base_symbol":"((($3808$⊍⩺⋍$3864$)∙⊟($1105$⊉≛↸$8598$))↺$1007$⨫⇇↔$1666$⫒⫫(≉$3464$))⩒⫫($2702$⫰⋱$1185$⨵⪆(≛$1479$))⪚((↓⇌$7059$)⊹∫⫚(↥$2279$))","expression":"(((⋰*⋻2952⊍⩺⋍⋰*⋻29A3)∙⊟(⋰*⋻915⊉≛↸⋰*⋻6507))↺⋰*⋻836⨫⇇↔⋰*⋻1285⫒⫫(≉⋰*⋻266A))⩒⫫(⋰*⋻2037⫰⋱⋰*⋻988⨵⪆(≛⋰*⋻1125))⪚((↓⇌⋰*⋻5338)⊹∫⫚(↥⋰*⋻1792))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":431,"operation_count":15,"complexity_ratio":28.733333333333334,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3808,"base":11},"right_expr":{"type":"numeric_atoms","value":3864,"base":11}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1105,"base":11},"right_expr":{"type":"numeric_atoms","value":8598,"base":11}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1007,"base":11},"right_expr":{"type":"numeric_atoms","value":1666,"base":11}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3464,"base":11}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2702,"base":11},"right_expr":{"type":"numeric_atoms","value":1185,"base":11}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1479,"base":11}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":7059,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2279,"base":11}}}}},"used_operators":["KFSx94NKJn","7j4O788W3g","SxTAKzQCrw","OXDGMFPWZM","DZ8iAZOCBD","6Ko8hGgeMq","LXhwmt4mBO","e1ybzncUwg","HrjLwUk87U","2DQ55sFlQl","6o9Blt3TJ6","W7eaUhjymW","uWAJUKEvyW","PxpmPgHHJV","A8NUZmVepG"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","k8jYdgA6NY"],"result":"⋰*⋻136","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3808","layer":4},{"info":"number node, value=3864","layer":4},{"info":"compute binary expreesion, left_input=3808, right_input=3864, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=8598","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=8598, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2210","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2210, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1666, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3464","layer":4},{"info":"compute unary expreesion, input=3464, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3995","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=3995, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=-5319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5319, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5319","layer":1},{"info":"number node, value=2702","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=1185, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2669","layer":3},{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-2669, right_input=-10, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=7059","layer":4},{"info":"compute unary expreesion, input=7059, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=7059","layer":3},{"info":"number node, value=2279","layer":4},{"info":"compute unary expreesion, input=2279, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":3},{"info":"compute binary expreesion, left_input=7059, right_input=35, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-256","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-256, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=476","layer":1},{"info":"compute binary expreesion, left_input=-5319, right_input=476, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2952⊍⩺⋍⋰*⋻29A3)∙⊟(⋰*⋻915⊉≛↸⋰*⋻6507))↺⋰*⋻836⨫⇇↔⋰*⋻1285⫒⫫(≉⋰*⋻266A))⩒⫫(⋰*⋻2037⫰⋱⋰*⋻988⨵⪆(≛⋰*⋻1125))⪚((↓⇌⋰*⋻5338)⊹∫⫚(↥⋰*⋻1792))=⋰*⋻136","reverse_text":"⋰*⋻136=(((⋰*⋻2952⊍⩺⋍⋰*⋻29A3)∙⊟(⋰*⋻915⊉≛↸⋰*⋻6507))↺⋰*⋻836⨫⇇↔⋰*⋻1285⫒⫫(≉⋰*⋻266A))⩒⫫(⋰*⋻2037⫰⋱⋰*⋻988⨵⪆(≛⋰*⋻1125))⪚((↓⇌⋰*⋻5338)⊹∫⫚(↥⋰*⋻1792))","cot":[{"info":"⋰*⋻2952⊍⩺⋍⋰*⋻29A3=NaN","layer":3},{"info":"⋰*⋻915⊉≛↸⋰*⋻6507=⋰*⋻172A","layer":3},{"info":"NaN∙⊟⋰*⋻172A=NaN","layer":2},{"info":"⋰*⋻836⨫⇇↔⋰*⋻1285=⋰*⋻-43A","layer":3},{"info":"≉⋰*⋻266A=⋰*⋻3002","layer":3},{"info":"⋰*⋻-43A⫒⫫⋰*⋻3002=⋰*⋻-3AA6","layer":2},{"info":"NaN↺⋰*⋻-3AA6=⋰*⋻-3AA6","layer":1},{"info":"⋰*⋻2037⫰⋱⋰*⋻988=⋰*⋻-2007","layer":3},{"info":"≛⋰*⋻1125=⋰*⋻-A","layer":3},{"info":"⋰*⋻-2007⨵⪆⋰*⋻-A=⋰*⋻136","layer":2},{"info":"↓⇌⋰*⋻5338=⋰*⋻5338","layer":3},{"info":"↥⋰*⋻1792=⋰*⋻32","layer":3},{"info":"⋰*⋻5338⊹∫⫚⋰*⋻32=⋰*⋻-213","layer":2},{"info":"⋰*⋻136⪚⋰*⋻-213=⋰*⋻3A3","layer":1},{"info":"⋰*⋻-3AA6⩒⫫⋰*⋻3A3=⋰*⋻136","layer":0}]}
{"id":923,"expression_no_base_symbol":"(≻⋜($1069$≁$4437$))↤⩊($3498$≓∲$2469$)↞⋁(⋼∭⪍$5048$)⋾⨃∁(⫇($2888$⨓$1292$≳⇉($1478$⪨≂$2350$)))","expression":"(≻⋜(⋰*⋻892≁⋰*⋻3374))↤⩊(⋰*⋻26A0≓∲⋰*⋻1945)↞⋁(⋼∭⪍⋰*⋻387A)⋾⨃∁(⫇(⋰*⋻2196⨓⋰*⋻A75≳⇉(⋰*⋻1124⪨≂⋰*⋻1847)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34680059,"operation_count":11,"complexity_ratio":3152732.6363636362,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1069,"base":11},"right_expr":{"type":"numeric_atoms","value":4437,"base":11}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3498,"base":11},"right_expr":{"type":"numeric_atoms","value":2469,"base":11}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5048,"base":11}}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2888,"base":11},"right_expr":{"type":"numeric_atoms","value":1292,"base":11}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1478,"base":11},"right_expr":{"type":"numeric_atoms","value":2350,"base":11}}}}},"used_operators":["212REbPD9h","13rbtpv6ld","3tj9sqzovi","8N2wDY1A35","RqrPlJkxDo","s1XTVnmDOJ","DbCuESL50I","YjI8oCXuph","V0kx6qeWkN","3ViojmjbAp","sdazOOVcIp"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=4437, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=93287","layer":3},{"info":"compute unary expreesion, input=93287, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=3498","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=3498, right_input=2469, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=35763","layer":3},{"info":"number node, value=5048","layer":4},{"info":"compute unary expreesion, input=5048, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-18452","layer":3},{"info":"compute binary expreesion, left_input=35763, right_input=-18452, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=35763","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=35763, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=2888","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=1292, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1295","layer":3},{"info":"number node, value=1478","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=2350, 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=-1642","layer":3},{"info":"compute binary expreesion, left_input=-1295, right_input=-1642, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≻⋜(⋰*⋻892≁⋰*⋻3374))↤⩊(⋰*⋻26A0≓∲⋰*⋻1945)↞⋁(⋼∭⪍⋰*⋻387A)⋾⨃∁(⫇(⋰*⋻2196⨓⋰*⋻A75≳⇉(⋰*⋻1124⪨≂⋰*⋻1847)))=NaN","reverse_text":"NaN=(≻⋜(⋰*⋻892≁⋰*⋻3374))↤⩊(⋰*⋻26A0≓∲⋰*⋻1945)↞⋁(⋼∭⪍⋰*⋻387A)⋾⨃∁(⫇(⋰*⋻2196⨓⋰*⋻A75≳⇉(⋰*⋻1124⪨≂⋰*⋻1847)))","cot":[{"info":"⋰*⋻892≁⋰*⋻3374=⋰*⋻640A7","layer":3},{"info":"≻⋜⋰*⋻640A7=NaN","layer":2},{"info":"⋰*⋻26A0≓∲⋰*⋻1945=⋰*⋻24962","layer":3},{"info":"⋼∭⪍⋰*⋻387A=⋰*⋻-12955","layer":3},{"info":"⋰*⋻24962↞⋁⋰*⋻-12955=⋰*⋻24962","layer":2},{"info":"NaN↤⩊⋰*⋻24962=NaN","layer":1},{"info":"⋰*⋻2196⨓⋰*⋻A75=⋰*⋻-A78","layer":3},{"info":"⋰*⋻1124⪨≂⋰*⋻1847=⋰*⋻-1263","layer":3},{"info":"⋰*⋻-A78≳⇉⋰*⋻-1263=NaN","layer":2},{"info":"⫇NaN=NaN","layer":1},{"info":"NaN⋾⨃∁NaN=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"(((≋$3491$)≧⫂∧$4174$⇷$4310$)→⨶⪴(∮($3279$⋥≓≎$5414$)))⊬⨰(($2267$↸$1775$)↬($1230$⫢⨠$1502$)⋥≓≎(⨂⪏⇭$4929$)⇄($1163$⊹≧⊝))","expression":"(((≋⋰*⋻2694)≧⫂∧⋰*⋻3155⇷⋰*⋻3269)→⨶⪴(∮(⋰*⋻2511⋥≓≎⋰*⋻4082)))⊬⨰((⋰*⋻1781↸⋰*⋻1374)↬(⋰*⋻A19⫢⨠⋰*⋻1146)⋥≓≎(⨂⪏⇭⋰*⋻3781)⇄(⋰*⋻968⊹≧⊝))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":60656,"operation_count":14,"complexity_ratio":4332.571428571428,"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":3491,"base":11}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4174,"base":11},"right_expr":{"type":"numeric_atoms","value":4310,"base":11}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3279,"base":11},"right_expr":{"type":"numeric_atoms","value":5414,"base":11}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2267,"base":11},"right_expr":{"type":"numeric_atoms","value":1775,"base":11}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1230,"base":11},"right_expr":{"type":"numeric_atoms","value":1502,"base":11}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":4929,"base":11}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1163,"base":11}}}}},"used_operators":["s3Fd5m9Dh2","bF6eod5Gvf","Ph9nP6C5qx","61wBmkZwlr","mp7IySMOzn","CqXKPLVYql","Qy55tPpLXF","B5M0gjZbta","1eCjFl0mb9","xlXykHWxX1","3EYGwJThht","AYdpE9sXAk","LxFB4K6j0n"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"⋰*⋻10586","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3491","layer":4},{"info":"compute unary expreesion, input=3491, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3491","layer":3},{"info":"number node, value=4174","layer":4},{"info":"number node, value=4310","layer":4},{"info":"compute binary expreesion, left_input=4174, right_input=4310, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8620","layer":3},{"info":"compute binary expreesion, left_input=3491, right_input=8620, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8147","layer":2},{"info":"number node, value=3279","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=5414, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7582","layer":3},{"info":"compute unary expreesion, input=7582, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=8147, right_input=67, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=16128","layer":1},{"info":"number node, value=2267","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=2267, right_input=1775, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2267","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1502, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2267, right_input=160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4929","layer":4},{"info":"compute unary expreesion, input=4929, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=13808","layer":3},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-4652","layer":3},{"info":"compute binary expreesion, left_input=13808, right_input=-4652, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', 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":"compute binary expreesion, left_input=16128, right_input=67, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15340","layer":0}],"base":11,"result_base":11,"text":"(((≋⋰*⋻2694)≧⫂∧⋰*⋻3155⇷⋰*⋻3269)→⨶⪴(∮(⋰*⋻2511⋥≓≎⋰*⋻4082)))⊬⨰((⋰*⋻1781↸⋰*⋻1374)↬(⋰*⋻A19⫢⨠⋰*⋻1146)⋥≓≎(⨂⪏⇭⋰*⋻3781)⇄(⋰*⋻968⊹≧⊝))=⋰*⋻10586","reverse_text":"⋰*⋻10586=(((≋⋰*⋻2694)≧⫂∧⋰*⋻3155⇷⋰*⋻3269)→⨶⪴(∮(⋰*⋻2511⋥≓≎⋰*⋻4082)))⊬⨰((⋰*⋻1781↸⋰*⋻1374)↬(⋰*⋻A19⫢⨠⋰*⋻1146)⋥≓≎(⨂⪏⇭⋰*⋻3781)⇄(⋰*⋻968⊹≧⊝))","cot":[{"info":"≋⋰*⋻2694=⋰*⋻2694","layer":3},{"info":"⋰*⋻3155⇷⋰*⋻3269=⋰*⋻6527","layer":3},{"info":"⋰*⋻2694≧⫂∧⋰*⋻6527=⋰*⋻6137","layer":2},{"info":"⋰*⋻2511⋥≓≎⋰*⋻4082=⋰*⋻5773","layer":3},{"info":"∮⋰*⋻5773=⋰*⋻61","layer":2},{"info":"⋰*⋻6137→⨶⪴⋰*⋻61=⋰*⋻11132","layer":1},{"info":"⋰*⋻1781↸⋰*⋻1374=⋰*⋻1781","layer":3},{"info":"⋰*⋻A19⫢⨠⋰*⋻1146=⋰*⋻136","layer":3},{"info":"⋰*⋻1781↬⋰*⋻136=NaN","layer":2},{"info":"⨂⪏⇭⋰*⋻3781=⋰*⋻A413","layer":3},{"info":"⋰*⋻968⊹≧⊝=⋰*⋻-354A","layer":3},{"info":"⋰*⋻A413⇄⋰*⋻-354A=⋰*⋻0","layer":2},{"info":"NaN⋥≓≎⋰*⋻0=⋰*⋻61","layer":1},{"info":"⋰*⋻11132⊬⨰⋰*⋻61=⋰*⋻10586","layer":0}]}
{"id":925,"expression_no_base_symbol":"⨡↴($2342$⊾⪯⋞$5943$)⨐($1271$∛$1627$)∀⇚≩($3915$→⨶⪴$1160$≬⇓$1123$⪇≇⋚$4501$)","expression":"⨡↴(⋰*⋻183A⊾⪯⋞⋰*⋻4513)⨐(⋰*⋻A56∛⋰*⋻124A)∀⇚≩(⋰*⋻2A3A→⨶⪴⋰*⋻965≬⇓⋰*⋻931⪇≇⋚⋰*⋻3422)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":171194,"operation_count":8,"complexity_ratio":21399.25,"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":2342,"base":11},"right_expr":{"type":"numeric_atoms","value":5943,"base":11}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1271,"base":11},"right_expr":{"type":"numeric_atoms","value":1627,"base":11}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3915,"base":11},"right_expr":{"type":"numeric_atoms","value":1160,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1123,"base":11},"right_expr":{"type":"numeric_atoms","value":4501,"base":11}}}}},"used_operators":["liw5iZPkLH","LRNGc0VcxI","Noe24qw2ks","HK0tfVPux8","w2537kitQq","jWTQ2TZYIH","bF6eod5Gvf","3sJ7IOPOlU"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","X99M06cbEe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","8w2t5hMYqp","9FxExcQeMw","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2342","layer":4},{"info":"number node, value=5943","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=5943, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=11460","layer":3},{"info":"number node, value=1271","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=1627, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=11460, right_input=67, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-22920","layer":2},{"info":"number node, value=3915","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=1160, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3480","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=4501","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=4501, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3480, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=121508102","layer":2},{"info":"compute binary expreesion, left_input=-22920, right_input=121508102, 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 = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨡↴(⋰*⋻183A⊾⪯⋞⋰*⋻4513)⨐(⋰*⋻A56∛⋰*⋻124A)∀⇚≩(⋰*⋻2A3A→⨶⪴⋰*⋻965≬⇓⋰*⋻931⪇≇⋚⋰*⋻3422)=NaN","reverse_text":"NaN=⨡↴(⋰*⋻183A⊾⪯⋞⋰*⋻4513)⨐(⋰*⋻A56∛⋰*⋻124A)∀⇚≩(⋰*⋻2A3A→⨶⪴⋰*⋻965≬⇓⋰*⋻931⪇≇⋚⋰*⋻3422)","cot":[{"info":"⋰*⋻183A⊾⪯⋞⋰*⋻4513=⋰*⋻8679","layer":3},{"info":"⋰*⋻A56∛⋰*⋻124A=⋰*⋻61","layer":3},{"info":"⋰*⋻8679⨐⋰*⋻61=⋰*⋻-16247","layer":2},{"info":"⋰*⋻2A3A→⨶⪴⋰*⋻965=⋰*⋻-2684","layer":3},{"info":"⋰*⋻931⪇≇⋚⋰*⋻3422=⋰*⋻0","layer":3},{"info":"⋰*⋻-2684≬⇓⋰*⋻0=⋰*⋻62651921","layer":2},{"info":"⋰*⋻-16247∀⇚≩⋰*⋻62651921=NaN","layer":1},{"info":"⨡↴NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"((⨰⫟⨤$1076$≁↽≥$4930$)⨎(⇜$3025$)∘(≛$2428$))⪛($5465$⇷$1649$∽(∑⇻≧$1237$))∺≝⩲(↑$4726$)⨜⨶($3162$⫔⩽⩺$1671$)","expression":"((⨰⫟⨤⋰*⋻899≁↽≥⋰*⋻3782)⨎(⇜⋰*⋻2300)∘(≛⋰*⋻1908))⪛(⋰*⋻4119⇷⋰*⋻126A∽(∑⇻≧⋰*⋻A25))∺≝⩲(↑⋰*⋻3607)⨜⨶(⋰*⋻2415⫔⩽⩺⋰*⋻128A)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":180605,"operation_count":14,"complexity_ratio":12900.357142857143,"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":1076,"base":11},"right_expr":{"type":"numeric_atoms","value":4930,"base":11}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":3025,"base":11}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2428,"base":11}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5465,"base":11},"right_expr":{"type":"numeric_atoms","value":1649,"base":11}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1237,"base":11}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4726,"base":11}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3162,"base":11},"right_expr":{"type":"numeric_atoms","value":1671,"base":11}}}}},"used_operators":["uFcxV4UQCh","rJVOvQCfKK","Tw270M8GLb","ncHt1X6cMc","Z5m6OM72h2","lFBm8KRb8F","W7eaUhjymW","KPf6cnQVty","y4ImoPnbV5","mp7IySMOzn","l1M9WJ3V7u","HiPekx5b7W","tR7O2zTn5j","i9eR4S00cU"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","oWn0xqSxBt","3Oe9XWJUTD","eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","NTOWxs364D","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Tw270M8GLb","fu6greOZ01"],"result":"⋰*⋻26","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":4},{"info":"number node, value=4930","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=4930, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=26072","layer":3},{"info":"compute unary expreesion, input=26072, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=3025","layer":4},{"info":"compute unary expreesion, input=3025, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-24608","layer":3},{"info":"number node, value=2428","layer":4},{"info":"compute unary expreesion, input=2428, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-24608, right_input=-10, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=24988","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24988, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=24988","layer":1},{"info":"number node, value=5465","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=5465, right_input=1649, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3298","layer":3},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=3298, right_input=-852, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-13756","layer":2},{"info":"number node, value=4726","layer":4},{"info":"compute unary expreesion, input=4726, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=3162","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=1671, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13756, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=24988, right_input=160, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=28","layer":0}],"base":11,"result_base":11,"text":"((⨰⫟⨤⋰*⋻899≁↽≥⋰*⋻3782)⨎(⇜⋰*⋻2300)∘(≛⋰*⋻1908))⪛(⋰*⋻4119⇷⋰*⋻126A∽(∑⇻≧⋰*⋻A25))∺≝⩲(↑⋰*⋻3607)⨜⨶(⋰*⋻2415⫔⩽⩺⋰*⋻128A)=⋰*⋻26","reverse_text":"⋰*⋻26=((⨰⫟⨤⋰*⋻899≁↽≥⋰*⋻3782)⨎(⇜⋰*⋻2300)∘(≛⋰*⋻1908))⪛(⋰*⋻4119⇷⋰*⋻126A∽(∑⇻≧⋰*⋻A25))∺≝⩲(↑⋰*⋻3607)⨜⨶(⋰*⋻2415⫔⩽⩺⋰*⋻128A)","cot":[{"info":"⋰*⋻899≁↽≥⋰*⋻3782=⋰*⋻18652","layer":3},{"info":"⨰⫟⨤⋰*⋻18652=NaN","layer":2},{"info":"⇜⋰*⋻2300=⋰*⋻-17541","layer":3},{"info":"≛⋰*⋻1908=⋰*⋻-A","layer":3},{"info":"⋰*⋻-17541∘⋰*⋻-A=⋰*⋻17857","layer":2},{"info":"NaN⨎⋰*⋻17857=⋰*⋻17857","layer":1},{"info":"⋰*⋻4119⇷⋰*⋻126A=⋰*⋻2529","layer":3},{"info":"∑⇻≧⋰*⋻A25=⋰*⋻-705","layer":3},{"info":"⋰*⋻2529∽⋰*⋻-705=⋰*⋻-A376","layer":2},{"info":"↑⋰*⋻3607=⋰*⋻165","layer":3},{"info":"⋰*⋻2415⫔⩽⩺⋰*⋻128A=NaN","layer":3},{"info":"⋰*⋻165⨜⨶NaN=NaN","layer":2},{"info":"⋰*⋻-A376∺≝⩲NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻17857⪛⋰*⋻136=⋰*⋻26","layer":0}]}
{"id":927,"expression_no_base_symbol":"$1644$⪇≇⋚$3470$⪭≯$2414$⩣⫁∢$1355$≓∲(↥$2217$)∥⊢⊲($2172$⪣⫩)⩨(($1494$⊉≛↸$4115$)∠↢($1547$⨑≵⋬$1168$))⨽($1488$/$2371$)⩍⋽⫝̸$2706$⪬$4363$","expression":"⋰*⋻1265⪇≇⋚⋰*⋻2675⪭≯⋰*⋻18A5⩣⫁∢⋰*⋻1022≓∲(↥⋰*⋻1736)∥⊢⊲(⋰*⋻16A5⪣⫩)⩨((⋰*⋻1139⊉≛↸⋰*⋻3101)∠↢(⋰*⋻1187⨑≵⋬⋰*⋻972))⨽(⋰*⋻1133/⋰*⋻1866)⩍⋽⫝̸⋰*⋻2040⪬⋰*⋻3307","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24922,"operation_count":15,"complexity_ratio":1661.4666666666667,"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":1644,"base":11},"right_expr":{"type":"numeric_atoms","value":3470,"base":11}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2414,"base":11},"right_expr":{"type":"numeric_atoms","value":1355,"base":11}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2217,"base":11}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2172,"base":11}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1494,"base":11},"right_expr":{"type":"numeric_atoms","value":4115,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1547,"base":11},"right_expr":{"type":"numeric_atoms","value":1168,"base":11}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1488,"base":11},"right_expr":{"type":"numeric_atoms","value":2371,"base":11}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2706,"base":11},"right_expr":{"type":"numeric_atoms","value":4363,"base":11}}}}},"used_operators":["2DlMacCsIx","s1XTVnmDOJ","XAx5wpdLa6","3sJ7IOPOlU","JDUIKTTSIa","v1UQAVDJRr","A8NUZmVepG","iuk5sVOGFA","8HhzD0ZcuI","KbjG8mgYpV","DZ8iAZOCBD","XnXgA4xnOs","BiWNJpBvwn","XhwjNDsVaA","Ez1Nq5fNfI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","EBcxylXtPf","rGHVDoGpnC","k8jYdgA6NY","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1644","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=3470, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2414","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=1355, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4667","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4667, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":3},{"info":"number node, value=2172","layer":4},{"info":"compute unary expreesion, input=2172, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=6483","layer":3},{"info":"compute binary expreesion, left_input=24, right_input=6483, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"number node, value=1494","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=4115, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2988","layer":3},{"info":"number node, value=1547","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=1168, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=938","layer":3},{"info":"compute binary expreesion, left_input=2988, right_input=938, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-24002","layer":2},{"info":"number node, value=1488","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=2371, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2706","layer":4},{"info":"number node, value=4363","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=4363, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=288","layer":2},{"info":"compute binary expreesion, left_input=-24002, right_input=288, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1728287562","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1728287562, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1265⪇≇⋚⋰*⋻2675⪭≯⋰*⋻18A5⩣⫁∢⋰*⋻1022≓∲(↥⋰*⋻1736)∥⊢⊲(⋰*⋻16A5⪣⫩)⩨((⋰*⋻1139⊉≛↸⋰*⋻3101)∠↢(⋰*⋻1187⨑≵⋬⋰*⋻972))⨽(⋰*⋻1133/⋰*⋻1866)⩍⋽⫝̸⋰*⋻2040⪬⋰*⋻3307=NaN","reverse_text":"NaN=⋰*⋻1265⪇≇⋚⋰*⋻2675⪭≯⋰*⋻18A5⩣⫁∢⋰*⋻1022≓∲(↥⋰*⋻1736)∥⊢⊲(⋰*⋻16A5⪣⫩)⩨((⋰*⋻1139⊉≛↸⋰*⋻3101)∠↢(⋰*⋻1187⨑≵⋬⋰*⋻972))⨽(⋰*⋻1133/⋰*⋻1866)⩍⋽⫝̸⋰*⋻2040⪬⋰*⋻3307","cot":[{"info":"⋰*⋻1265⪇≇⋚⋰*⋻2675=⋰*⋻0","layer":3},{"info":"⋰*⋻18A5⩣⫁∢⋰*⋻1022=⋰*⋻-3563","layer":3},{"info":"⋰*⋻0⪭≯⋰*⋻-3563=NaN","layer":2},{"info":"↥⋰*⋻1736=⋰*⋻22","layer":3},{"info":"⋰*⋻16A5⪣⫩=⋰*⋻4964","layer":3},{"info":"⋰*⋻22∥⊢⊲⋰*⋻4964=NaN","layer":2},{"info":"NaN≓∲NaN=NaN","layer":1},{"info":"⋰*⋻1139⊉≛↸⋰*⋻3101=⋰*⋻2277","layer":3},{"info":"⋰*⋻1187⨑≵⋬⋰*⋻972=⋰*⋻783","layer":3},{"info":"⋰*⋻2277∠↢⋰*⋻783=⋰*⋻-17040","layer":2},{"info":"⋰*⋻1133/⋰*⋻1866=⋰*⋻0","layer":3},{"info":"⋰*⋻2040⪬⋰*⋻3307=⋰*⋻A22","layer":3},{"info":"⋰*⋻0⩍⋽⫝̸⋰*⋻A22=⋰*⋻242","layer":2},{"info":"⋰*⋻-17040⨽⋰*⋻242=⋰*⋻-807634031","layer":1},{"info":"NaN⩨⋰*⋻-807634031=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"⫶⊄≣(($2097$⪍↜⋙$1606$)⪃⊛⇣($3650$⇐≅)⇷($1048$⪬$6468$≑≱⪘))","expression":"⫶⊄≣((⋰*⋻1637⪍↜⋙⋰*⋻1230)⪃⊛⇣(⋰*⋻2819⇐≅)⇷(⋰*⋻873⪬⋰*⋻4950≑≱⪘))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1039805,"operation_count":7,"complexity_ratio":148543.57142857142,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2097,"base":11},"right_expr":{"type":"numeric_atoms","value":1606,"base":11}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":3650,"base":11}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1048,"base":11},"right_expr":{"type":"numeric_atoms","value":6468,"base":11}}}}},"used_operators":["wxb3vTeyAj","mp7IySMOzn","rrgAzCduG9","L05ObWFQCd","wEfv7U73WA","tGSeddj7UK","Ez1Nq5fNfI"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2097","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=1606, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=982","layer":3},{"info":"number node, value=3650","layer":4},{"info":"compute unary expreesion, input=3650, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=10918","layer":3},{"info":"compute binary expreesion, left_input=982, right_input=10918, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=6468","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=6468, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=28449","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=28449, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=56898","layer":1},{"info":"compute unary expreesion, input=56898, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⫶⊄≣((⋰*⋻1637⪍↜⋙⋰*⋻1230)⪃⊛⇣(⋰*⋻2819⇐≅)⇷(⋰*⋻873⪬⋰*⋻4950≑≱⪘))=NaN","reverse_text":"NaN=⫶⊄≣((⋰*⋻1637⪍↜⋙⋰*⋻1230)⪃⊛⇣(⋰*⋻2819⇐≅)⇷(⋰*⋻873⪬⋰*⋻4950≑≱⪘))","cot":[{"info":"⋰*⋻1637⪍↜⋙⋰*⋻1230=⋰*⋻813","layer":3},{"info":"⋰*⋻2819⇐≅=⋰*⋻8226","layer":3},{"info":"⋰*⋻813⪃⊛⇣⋰*⋻8226=⋰*⋻A22","layer":2},{"info":"⋰*⋻873⪬⋰*⋻4950=⋰*⋻A22","layer":3},{"info":"⋰*⋻A22≑≱⪘=⋰*⋻1A413","layer":2},{"info":"⋰*⋻A22⇷⋰*⋻1A413=⋰*⋻39826","layer":1},{"info":"⫶⊄≣⋰*⋻39826=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"(($1174$⊝⪿⪼$2576$)≚⊃≕($1207$⫸⇳$2995$)⪭≯(⩒∊($3850$⊝⪿⪼$4790$)))⪔((($4872$⊨$5462$)⋾⨃∁($1344$⊹∫⫚$5103$))⫻⋑⊟)","expression":"((⋰*⋻978⊝⪿⪼⋰*⋻1A32)≚⊃≕(⋰*⋻9A8⫸⇳⋰*⋻2283)⪭≯(⩒∊(⋰*⋻2990⊝⪿⪼⋰*⋻3665)))⪔(((⋰*⋻372A⊨⋰*⋻4116)⋾⨃∁(⋰*⋻1012⊹∫⫚⋰*⋻391A))⫻⋑⊟)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":652250,"operation_count":11,"complexity_ratio":59295.454545454544,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1174,"base":11},"right_expr":{"type":"numeric_atoms","value":2576,"base":11}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1207,"base":11},"right_expr":{"type":"numeric_atoms","value":2995,"base":11}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3850,"base":11},"right_expr":{"type":"numeric_atoms","value":4790,"base":11}}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4872,"base":11},"right_expr":{"type":"numeric_atoms","value":5462,"base":11}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1344,"base":11},"right_expr":{"type":"numeric_atoms","value":5103,"base":11}}}}},"used_operators":["GjBEYRfMaF","XAx5wpdLa6","Bmrmz2XGnR","3Oe9XWJUTD","gx7XJ7hdpj","qazvmhNBbN","o575Zjdmzy","212REbPD9h","vg4gO5BX6G","uWAJUKEvyW"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1174","layer":4},{"info":"number node, value=2576","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2576, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=27542","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=2995, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=27542, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"number node, value=3850","layer":4},{"info":"number node, value=4790","layer":4},{"info":"compute binary expreesion, left_input=3850, right_input=4790, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=67682","layer":3},{"info":"compute unary expreesion, input=67682, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=134607","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=134607, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=4872","layer":4},{"info":"number node, value=5462","layer":4},{"info":"compute binary expreesion, left_input=4872, right_input=5462, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=20519","layer":3},{"info":"number node, value=1344","layer":4},{"info":"number node, value=5103","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=5103, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-180","layer":3},{"info":"compute binary expreesion, left_input=20519, right_input=-180, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=326066","layer":2},{"info":"compute unary expreesion, input=326066, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-651622","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-651622, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻978⊝⪿⪼⋰*⋻1A32)≚⊃≕(⋰*⋻9A8⫸⇳⋰*⋻2283)⪭≯(⩒∊(⋰*⋻2990⊝⪿⪼⋰*⋻3665)))⪔(((⋰*⋻372A⊨⋰*⋻4116)⋾⨃∁(⋰*⋻1012⊹∫⫚⋰*⋻391A))⫻⋑⊟)=NaN","reverse_text":"NaN=((⋰*⋻978⊝⪿⪼⋰*⋻1A32)≚⊃≕(⋰*⋻9A8⫸⇳⋰*⋻2283)⪭≯(⩒∊(⋰*⋻2990⊝⪿⪼⋰*⋻3665)))⪔(((⋰*⋻372A⊨⋰*⋻4116)⋾⨃∁(⋰*⋻1012⊹∫⫚⋰*⋻391A))⫻⋑⊟)","cot":[{"info":"⋰*⋻978⊝⪿⪼⋰*⋻1A32=⋰*⋻19769","layer":3},{"info":"⋰*⋻9A8⫸⇳⋰*⋻2283=⋰*⋻0","layer":3},{"info":"⋰*⋻19769≚⊃≕⋰*⋻0=⋰*⋻61","layer":2},{"info":"⋰*⋻2990⊝⪿⪼⋰*⋻3665=⋰*⋻4693A","layer":3},{"info":"⩒∊⋰*⋻4693A=⋰*⋻92150","layer":2},{"info":"⋰*⋻61⪭≯⋰*⋻92150=NaN","layer":1},{"info":"⋰*⋻372A⊨⋰*⋻4116=⋰*⋻14464","layer":3},{"info":"⋰*⋻1012⊹∫⫚⋰*⋻391A=⋰*⋻-154","layer":3},{"info":"⋰*⋻14464⋾⨃∁⋰*⋻-154=⋰*⋻202A84","layer":2},{"info":"⋰*⋻202A84⫻⋑⊟=⋰*⋻-405634","layer":1},{"info":"NaN⪔⋰*⋻-405634=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"($2908$≠≀$2680$≎⊠⪸($1058$⇮⋭$1295$))↓($2425$≝⊿$6435$≨($2812$∙⊟$5391$))⨑≵⋬((∨∊⋏($3807$⨑⩅≇$4801$))⊦⊿)","expression":"(⋰*⋻2204≠≀⋰*⋻2017≎⊠⪸(⋰*⋻882⇮⋭⋰*⋻A78))↓(⋰*⋻1905≝⊿⋰*⋻4920≨(⋰*⋻2127∙⊟⋰*⋻4061))⨑≵⋬((∨∊⋏(⋰*⋻2951⨑⩅≇⋰*⋻3675))⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":556315,"operation_count":11,"complexity_ratio":50574.09090909091,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2908,"base":11},"right_expr":{"type":"numeric_atoms","value":2680,"base":11}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1058,"base":11},"right_expr":{"type":"numeric_atoms","value":1295,"base":11}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2425,"base":11},"right_expr":{"type":"numeric_atoms","value":6435,"base":11}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2812,"base":11},"right_expr":{"type":"numeric_atoms","value":5391,"base":11}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3807,"base":11},"right_expr":{"type":"numeric_atoms","value":4801,"base":11}}}}},"used_operators":["XnXgA4xnOs","Af076pWI7l","bJkvcejdHO","IwW236VD4Y","vkpjKywKVM","0KMCeP1Jsh","OKKcZfAt5B","SxTAKzQCrw","14qkJME0vr","R5aXW34M0v","h92wMvzauj"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","12rbrZMWeM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⋰*⋻-3A07041","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2908","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=2908, right_input=2680, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5510","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1295, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-5510, right_input=-473, 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=2425","layer":4},{"info":"number node, value=6435","layer":4},{"info":"compute binary expreesion, left_input=2425, right_input=6435, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15828","layer":3},{"info":"number node, value=2812","layer":4},{"info":"number node, value=5391","layer":4},{"info":"compute binary expreesion, left_input=2812, right_input=5391, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=46402","layer":3},{"info":"compute binary expreesion, left_input=-15828, right_input=46402, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=32312","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=32312, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=3807","layer":4},{"info":"number node, value=4801","layer":4},{"info":"compute binary expreesion, left_input=3807, right_input=4801, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-11421","layer":3},{"info":"compute unary expreesion, input=-11421, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-330277","layer":2},{"info":"compute unary expreesion, input=-330277, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=990752","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=990752, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-6934555","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2204≠≀⋰*⋻2017≎⊠⪸(⋰*⋻882⇮⋭⋰*⋻A78))↓(⋰*⋻1905≝⊿⋰*⋻4920≨(⋰*⋻2127∙⊟⋰*⋻4061))⨑≵⋬((∨∊⋏(⋰*⋻2951⨑⩅≇⋰*⋻3675))⊦⊿)=⋰*⋻-3A07041","reverse_text":"⋰*⋻-3A07041=(⋰*⋻2204≠≀⋰*⋻2017≎⊠⪸(⋰*⋻882⇮⋭⋰*⋻A78))↓(⋰*⋻1905≝⊿⋰*⋻4920≨(⋰*⋻2127∙⊟⋰*⋻4061))⨑≵⋬((∨∊⋏(⋰*⋻2951⨑⩅≇⋰*⋻3675))⊦⊿)","cot":[{"info":"⋰*⋻2204≠≀⋰*⋻2017=⋰*⋻-415A","layer":3},{"info":"⋰*⋻882⇮⋭⋰*⋻A78=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻-415A≎⊠⪸⋰*⋻-3A0=⋰*⋻61","layer":2},{"info":"⋰*⋻1905≝⊿⋰*⋻4920=⋰*⋻-1098A","layer":3},{"info":"⋰*⋻2127∙⊟⋰*⋻4061=⋰*⋻31954","layer":3},{"info":"⋰*⋻-1098A≨⋰*⋻31954=⋰*⋻22305","layer":2},{"info":"⋰*⋻61↓⋰*⋻22305=⋰*⋻-112","layer":1},{"info":"⋰*⋻2951⨑⩅≇⋰*⋻3675=⋰*⋻-8643","layer":3},{"info":"∨∊⋏⋰*⋻-8643=⋰*⋻-206162","layer":2},{"info":"⋰*⋻-206162⊦⊿=⋰*⋻617404","layer":1},{"info":"⋰*⋻-112⨑≵⋬⋰*⋻617404=⋰*⋻-3A07041","layer":0}]}
{"id":931,"expression_no_base_symbol":"(⪭⩑⪱($2333$⊲⩕⊾$3049$))∥⊢⊲($1032$⋾⨃∁$3205$+$4089$≀⫉$3617$)⫌⩉⩟($1750$⋓$4595$)⪝($5939$≥⨤⩑$1094$)⩁⩘(($1132$∙∹∝$3801$)∌↝($5543$⊾⪯⋞$7012$))","expression":"(⪭⩑⪱(⋰*⋻1831⊲⩕⊾⋰*⋻2322))∥⊢⊲(⋰*⋻859⋾⨃∁⋰*⋻2454+⋰*⋻3088≀⫉⋰*⋻2799)⫌⩉⩟(⋰*⋻1351⋓⋰*⋻34A8)⪝(⋰*⋻450A≥⨤⩑⋰*⋻905)⩁⩘((⋰*⋻93A∙∹∝⋰*⋻2946)∌↝(⋰*⋻418A⊾⪯⋞⋰*⋻52A5))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1022011,"operation_count":14,"complexity_ratio":73000.78571428571,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2333,"base":11},"right_expr":{"type":"numeric_atoms","value":3049,"base":11}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1032,"base":11},"right_expr":{"type":"numeric_atoms","value":3205,"base":11}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4089,"base":11},"right_expr":{"type":"numeric_atoms","value":3617,"base":11}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1750,"base":11},"right_expr":{"type":"numeric_atoms","value":4595,"base":11}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5939,"base":11},"right_expr":{"type":"numeric_atoms","value":1094,"base":11}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1132,"base":11},"right_expr":{"type":"numeric_atoms","value":3801,"base":11}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5543,"base":11},"right_expr":{"type":"numeric_atoms","value":7012,"base":11}}}}},"used_operators":["XIIwhv8d0m","v1UQAVDJRr","SIgE0bArFf","DmTXOeWf9t","W4YGzv6Whe","212REbPD9h","oZj3VtZNQx","gub5Cegaqo","wicAB68Tmb","T2fj7uvVaJ","gJLn6v0xnP","9Isq31Ruls","HmxsFra2vL","HK0tfVPux8"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","EBcxylXtPf","rGHVDoGpnC","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","IWmyXbctLI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⋰*⋻-46","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2333","layer":4},{"info":"number node, value=3049","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=3049, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-64448","layer":3},{"info":"compute unary expreesion, input=-64448, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=3205, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=102681696","layer":3},{"info":"number node, value=4089","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=4089, right_input=3617, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=102681696, right_input=2822, op_id = W4YGzv6Whe binary_op_definition= 'None', output=102684518","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=102684518, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=1750","layer":4},{"info":"number node, value=4595","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=4595, 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=5939","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=5939, right_input=1094, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=3801","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3801, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5543","layer":4},{"info":"number node, value=7012","layer":4},{"info":"compute binary expreesion, left_input=5543, right_input=7012, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=13598","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13598, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-40794","layer":2},{"info":"compute binary expreesion, left_input=237, right_input=-40794, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-162228","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-162228, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":11,"result_base":11,"text":"(⪭⩑⪱(⋰*⋻1831⊲⩕⊾⋰*⋻2322))∥⊢⊲(⋰*⋻859⋾⨃∁⋰*⋻2454+⋰*⋻3088≀⫉⋰*⋻2799)⫌⩉⩟(⋰*⋻1351⋓⋰*⋻34A8)⪝(⋰*⋻450A≥⨤⩑⋰*⋻905)⩁⩘((⋰*⋻93A∙∹∝⋰*⋻2946)∌↝(⋰*⋻418A⊾⪯⋞⋰*⋻52A5))=⋰*⋻-46","reverse_text":"⋰*⋻-46=(⪭⩑⪱(⋰*⋻1831⊲⩕⊾⋰*⋻2322))∥⊢⊲(⋰*⋻859⋾⨃∁⋰*⋻2454+⋰*⋻3088≀⫉⋰*⋻2799)⫌⩉⩟(⋰*⋻1351⋓⋰*⋻34A8)⪝(⋰*⋻450A≥⨤⩑⋰*⋻905)⩁⩘((⋰*⋻93A∙∹∝⋰*⋻2946)∌↝(⋰*⋻418A⊾⪯⋞⋰*⋻52A5))","cot":[{"info":"⋰*⋻1831⊲⩕⊾⋰*⋻2322=⋰*⋻-4446A","layer":3},{"info":"⪭⩑⪱⋰*⋻-4446A=⋰*⋻4773560","layer":2},{"info":"⋰*⋻859⋾⨃∁⋰*⋻2454=⋰*⋻52A63307","layer":3},{"info":"⋰*⋻3088≀⫉⋰*⋻2799=⋰*⋻2136","layer":3},{"info":"⋰*⋻52A63307+⋰*⋻2136=⋰*⋻52A65442","layer":2},{"info":"⋰*⋻4773560∥⊢⊲⋰*⋻52A65442=NaN","layer":1},{"info":"⋰*⋻1351⋓⋰*⋻34A8=⋰*⋻0","layer":3},{"info":"⋰*⋻450A≥⨤⩑⋰*⋻905=⋰*⋻A22","layer":3},{"info":"⋰*⋻0⪝⋰*⋻A22=⋰*⋻1A6","layer":2},{"info":"⋰*⋻93A∙∹∝⋰*⋻2946=⋰*⋻0","layer":3},{"info":"⋰*⋻418A⊾⪯⋞⋰*⋻52A5=⋰*⋻A242","layer":3},{"info":"⋰*⋻0∌↝⋰*⋻A242=⋰*⋻-28716","layer":2},{"info":"⋰*⋻1A6⩁⩘⋰*⋻-28716=⋰*⋻-100980","layer":1},{"info":"NaN⫌⩉⩟⋰*⋻-100980=⋰*⋻-46","layer":0}]}
{"id":932,"expression_no_base_symbol":"(⪹$3788$≴⪞⇿$2426$)≨($2674$⫲)∥⊢⊲(⪸$5214$)⩨(($1011$⪎↠$1440$⪔$1941$⇣⩺⋵$3042$)⫩)","expression":"(⪹⋰*⋻2934≴⪞⇿⋰*⋻1906)≨(⋰*⋻2011⫲)∥⊢⊲(⪸⋰*⋻3A10)⩨((⋰*⋻83A⪎↠⋰*⋻109A⪔⋰*⋻1505⇣⩺⋵⋰*⋻2316)⫩)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":148268219,"operation_count":11,"complexity_ratio":13478929.0,"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":3788,"base":11},"right_expr":{"type":"numeric_atoms","value":2426,"base":11}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":2674,"base":11}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":5214,"base":11}}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1011,"base":11},"right_expr":{"type":"numeric_atoms","value":1440,"base":11}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1941,"base":11},"right_expr":{"type":"numeric_atoms","value":3042,"base":11}}}}},"used_operators":["2DlMacCsIx","0KMCeP1Jsh","USyYr0JgAa","lvlrscuwVU","v1UQAVDJRr","9xnGDUPbC6","86A5ENbKR9","6aG7x05OhS","GjBEYRfMaF","3tVxb0NHM4","F4yD0voBRQ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","tifHPKVTfV","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","dWAJyo7jo9","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3788","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=2426, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=24710684","layer":3},{"info":"compute unary expreesion, input=24710684, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-24710504","layer":2},{"info":"number node, value=2674","layer":4},{"info":"compute unary expreesion, input=2674, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=2401","layer":3},{"info":"number node, value=5214","layer":4},{"info":"compute unary expreesion, input=5214, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-88429","layer":3},{"info":"compute binary expreesion, left_input=2401, right_input=-88429, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-24710504, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=49421664","layer":1},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1440, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1941","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=3042, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-260, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute unary expreesion, input=450, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=49421664, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⪹⋰*⋻2934≴⪞⇿⋰*⋻1906)≨(⋰*⋻2011⫲)∥⊢⊲(⪸⋰*⋻3A10)⩨((⋰*⋻83A⪎↠⋰*⋻109A⪔⋰*⋻1505⇣⩺⋵⋰*⋻2316)⫩)=NaN","reverse_text":"NaN=(⪹⋰*⋻2934≴⪞⇿⋰*⋻1906)≨(⋰*⋻2011⫲)∥⊢⊲(⪸⋰*⋻3A10)⩨((⋰*⋻83A⪎↠⋰*⋻109A⪔⋰*⋻1505⇣⩺⋵⋰*⋻2316)⫩)","cot":[{"info":"⋰*⋻2934≴⪞⇿⋰*⋻1906=⋰*⋻12A48559","layer":3},{"info":"⪹⋰*⋻12A48559=⋰*⋻-12A48405","layer":2},{"info":"⋰*⋻2011⫲=⋰*⋻1893","layer":3},{"info":"⪸⋰*⋻3A10=⋰*⋻-60490","layer":3},{"info":"⋰*⋻1893∥⊢⊲⋰*⋻-60490=NaN","layer":2},{"info":"⋰*⋻-12A48405≨NaN=⋰*⋻25996256","layer":1},{"info":"⋰*⋻83A⪎↠⋰*⋻109A=⋰*⋻136","layer":3},{"info":"⋰*⋻1505⇣⩺⋵⋰*⋻2316=⋰*⋻-217","layer":3},{"info":"⋰*⋻136⪔⋰*⋻-217=⋰*⋻37A","layer":2},{"info":"⋰*⋻37A⫩=NaN","layer":1},{"info":"⋰*⋻25996256⩨NaN=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"($3295$⨸$1283$⨔⇊($2453$⫯⪬∳$1265$)⋥⋵⩄($6188$⫉⨲⊜$4432$≎⊠⪸($3449$≬⇓$4727$)))⨑⩅≇(($2892$⪘⫢$1517$∟)∠↢(⫶⊄≣$5579$)⨽∌($1868$⨼⩣$4355$))","expression":"(⋰*⋻2526⨸⋰*⋻A67⨔⇊(⋰*⋻1930⫯⪬∳⋰*⋻A50)⋥⋵⩄(⋰*⋻4716⫉⨲⊜⋰*⋻336A≎⊠⪸(⋰*⋻2656≬⇓⋰*⋻3608)))⨑⩅≇((⋰*⋻219A⪘⫢⋰*⋻115A∟)∠↢(⫶⊄≣⋰*⋻4212)⨽∌(⋰*⋻1449⨼⩣⋰*⋻32AA))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9721,"operation_count":14,"complexity_ratio":694.3571428571429,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3295,"base":11},"right_expr":{"type":"numeric_atoms","value":1283,"base":11}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2453,"base":11},"right_expr":{"type":"numeric_atoms","value":1265,"base":11}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":6188,"base":11},"right_expr":{"type":"numeric_atoms","value":4432,"base":11}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3449,"base":11},"right_expr":{"type":"numeric_atoms","value":4727,"base":11}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2892,"base":11},"right_expr":{"type":"numeric_atoms","value":1517,"base":11}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":5579,"base":11}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1868,"base":11},"right_expr":{"type":"numeric_atoms","value":4355,"base":11}}}}},"used_operators":["h92wMvzauj","7t3wd0Fuz7","JclMnS0uGI","KmoU8R5UQR","d7ASUq0ydm","bJkvcejdHO","WhqkvtTD3t","jWTQ2TZYIH","KbjG8mgYpV","hTbEZDJLEm","oacrs7FA3X","9samAPKr6k","wxb3vTeyAj","JxwMv5le6e"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eewbuw0ToL","zVYPLywUTj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"⋰*⋻780","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3295","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=3295, right_input=1283, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6590","layer":3},{"info":"number node, value=2453","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=1265, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=11033","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=11033, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=11033","layer":2},{"info":"number node, value=6188","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=6188, right_input=4432, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3449","layer":4},{"info":"number node, value=4727","layer":4},{"info":"compute binary expreesion, left_input=3449, right_input=4727, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-22, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=11033, right_input=-473, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=-18880","layer":1},{"info":"number node, value=2892","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=2892, right_input=1517, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5660","layer":3},{"info":"compute unary expreesion, input=5660, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"number node, value=5579","layer":4},{"info":"compute unary expreesion, input=5579, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=560351449","layer":3},{"info":"number node, value=1868","layer":4},{"info":"number node, value=4355","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=4355, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=560351449, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-18880, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2526⨸⋰*⋻A67⨔⇊(⋰*⋻1930⫯⪬∳⋰*⋻A50)⋥⋵⩄(⋰*⋻4716⫉⨲⊜⋰*⋻336A≎⊠⪸(⋰*⋻2656≬⇓⋰*⋻3608)))⨑⩅≇((⋰*⋻219A⪘⫢⋰*⋻115A∟)∠↢(⫶⊄≣⋰*⋻4212)⨽∌(⋰*⋻1449⨼⩣⋰*⋻32AA))=⋰*⋻780","reverse_text":"⋰*⋻780=(⋰*⋻2526⨸⋰*⋻A67⨔⇊(⋰*⋻1930⫯⪬∳⋰*⋻A50)⋥⋵⩄(⋰*⋻4716⫉⨲⊜⋰*⋻336A≎⊠⪸(⋰*⋻2656≬⇓⋰*⋻3608)))⨑⩅≇((⋰*⋻219A⪘⫢⋰*⋻115A∟)∠↢(⫶⊄≣⋰*⋻4212)⨽∌(⋰*⋻1449⨼⩣⋰*⋻32AA))","cot":[{"info":"⋰*⋻2526⨸⋰*⋻A67=⋰*⋻4A51","layer":3},{"info":"⋰*⋻1930⫯⪬∳⋰*⋻A50=⋰*⋻8320","layer":3},{"info":"⋰*⋻4A51⨔⇊⋰*⋻8320=⋰*⋻8320","layer":2},{"info":"⋰*⋻4716⫉⨲⊜⋰*⋻336A=⋰*⋻0","layer":3},{"info":"⋰*⋻2656≬⇓⋰*⋻3608=⋰*⋻-20","layer":3},{"info":"⋰*⋻0≎⊠⪸⋰*⋻-20=⋰*⋻-3A0","layer":2},{"info":"⋰*⋻8320⋥⋵⩄⋰*⋻-3A0=⋰*⋻-13204","layer":1},{"info":"⋰*⋻219A⪘⫢⋰*⋻115A=⋰*⋻4286","layer":3},{"info":"⋰*⋻4286∟=⋰*⋻A3","layer":2},{"info":"⫶⊄≣⋰*⋻4212=⋰*⋻268338379","layer":3},{"info":"⋰*⋻1449⨼⩣⋰*⋻32AA=NaN","layer":3},{"info":"⋰*⋻268338379⨽∌NaN=NaN","layer":2},{"info":"⋰*⋻A3∠↢NaN=NaN","layer":1},{"info":"⋰*⋻-13204⨑⩅≇NaN=⋰*⋻780","layer":0}]}
{"id":934,"expression_no_base_symbol":"($1138$∙∹∝$1343$)⫗⊷⫓($6659$∛$1782$)⫔⩽⩺($3871$⪬$2102$⊧↖)∙∹∝(⨞⊢$1421$)⫗⊷⫓($3342$⊉↱≁$7995$)⫣⪄⊒($2538$⩘$7452$)⇻⋧≁($1709$↺$1193$)","expression":"(⋰*⋻945∙∹∝⋰*⋻1011)⫗⊷⫓(⋰*⋻5004∛⋰*⋻1380)⫔⩽⩺(⋰*⋻29AA⪬⋰*⋻1641⊧↖)∙∹∝(⨞⊢⋰*⋻1082)⫗⊷⫓(⋰*⋻2569⊉↱≁⋰*⋻6009)⫣⪄⊒(⋰*⋻19A8⩘⋰*⋻5665)⇻⋧≁(⋰*⋻1314↺⋰*⋻995)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":611202,"operation_count":14,"complexity_ratio":43657.28571428572,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1138,"base":11},"right_expr":{"type":"numeric_atoms","value":1343,"base":11}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":6659,"base":11},"right_expr":{"type":"numeric_atoms","value":1782,"base":11}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3871,"base":11},"right_expr":{"type":"numeric_atoms","value":2102,"base":11}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1421,"base":11}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3342,"base":11},"right_expr":{"type":"numeric_atoms","value":7995,"base":11}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2538,"base":11},"right_expr":{"type":"numeric_atoms","value":7452,"base":11}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1709,"base":11},"right_expr":{"type":"numeric_atoms","value":1193,"base":11}}}}},"used_operators":["HmxsFra2vL","i9eR4S00cU","zashukvMKz","w2537kitQq","EKiFHuOFxO","Ez1Nq5fNfI","RabNbG55vr","xUOZtlo3hN","w2P8NbNXyL","jCPkEVoL5K","cHh1gJQ2o6","7j4O788W3g"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1343, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=6659","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=6659, right_input=1782, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-670, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=3871","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=3871, right_input=2102, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=9141068","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=9141068, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1595","layer":3},{"info":"number node, value=3342","layer":4},{"info":"number node, value=7995","layer":4},{"info":"compute binary expreesion, left_input=3342, right_input=7995, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-15664","layer":3},{"info":"compute binary expreesion, left_input=-1595, right_input=-15664, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=2538","layer":4},{"info":"number node, value=7452","layer":4},{"info":"compute binary expreesion, left_input=2538, right_input=7452, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=1193, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1193","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1193, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-1225","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-1225, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻945∙∹∝⋰*⋻1011)⫗⊷⫓(⋰*⋻5004∛⋰*⋻1380)⫔⩽⩺(⋰*⋻29AA⪬⋰*⋻1641⊧↖)∙∹∝(⨞⊢⋰*⋻1082)⫗⊷⫓(⋰*⋻2569⊉↱≁⋰*⋻6009)⫣⪄⊒(⋰*⋻19A8⩘⋰*⋻5665)⇻⋧≁(⋰*⋻1314↺⋰*⋻995)=NaN","reverse_text":"NaN=(⋰*⋻945∙∹∝⋰*⋻1011)⫗⊷⫓(⋰*⋻5004∛⋰*⋻1380)⫔⩽⩺(⋰*⋻29AA⪬⋰*⋻1641⊧↖)∙∹∝(⨞⊢⋰*⋻1082)⫗⊷⫓(⋰*⋻2569⊉↱≁⋰*⋻6009)⫣⪄⊒(⋰*⋻19A8⩘⋰*⋻5665)⇻⋧≁(⋰*⋻1314↺⋰*⋻995)","cot":[{"info":"⋰*⋻945∙∹∝⋰*⋻1011=⋰*⋻0","layer":3},{"info":"⋰*⋻5004∛⋰*⋻1380=⋰*⋻-55A","layer":3},{"info":"⋰*⋻0⫗⊷⫓⋰*⋻-55A=⋰*⋻-112","layer":2},{"info":"⋰*⋻29AA⪬⋰*⋻1641=⋰*⋻A22","layer":3},{"info":"⋰*⋻A22⊧↖=⋰*⋻5183902","layer":2},{"info":"⋰*⋻-112⫔⩽⩺⋰*⋻5183902=NaN","layer":1},{"info":"⨞⊢⋰*⋻1082=⋰*⋻-1220","layer":3},{"info":"⋰*⋻2569⊉↱≁⋰*⋻6009=⋰*⋻-10850","layer":3},{"info":"⋰*⋻-1220⫗⊷⫓⋰*⋻-10850=⋰*⋻-112","layer":2},{"info":"⋰*⋻19A8⩘⋰*⋻5665=⋰*⋻136","layer":3},{"info":"⋰*⋻1314↺⋰*⋻995=⋰*⋻995","layer":3},{"info":"⋰*⋻136⇻⋧≁⋰*⋻995=⋰*⋻-A14","layer":2},{"info":"⋰*⋻-112⫣⪄⊒⋰*⋻-A14=⋰*⋻136","layer":1},{"info":"NaN∙∹∝⋰*⋻136=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"⩷⨜⫀(($2458$⊬⨰$3193$⊵↤)⫌⩉⩟(∟⋨($1905$⇍⊗$2944$)))","expression":"⩷⨜⫀((⋰*⋻1935⊬⨰⋰*⋻2443⊵↤)⫌⩉⩟(∟⋨(⋰*⋻1482⇍⊗⋰*⋻2237)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":539390,"operation_count":6,"complexity_ratio":89898.33333333333,"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":2458,"base":11},"right_expr":{"type":"numeric_atoms","value":3193,"base":11}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1905,"base":11},"right_expr":{"type":"numeric_atoms","value":2944,"base":11}}}}},"used_operators":["CDi0ktkjQ4","XIIwhv8d0m","7IPrd9c3lf","s3Fd5m9Dh2","ctOc4cKSDt","5uvYHDjeKN"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","tmPS8pqC7x","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⋰*⋻-637","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2458","layer":4},{"info":"number node, value=3193","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=3193, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14174","layer":3},{"info":"compute unary expreesion, input=14174, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":2},{"info":"number node, value=1905","layer":4},{"info":"number node, value=2944","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=2944, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=728","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=728, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":0}],"base":11,"result_base":11,"text":"⩷⨜⫀((⋰*⋻1935⊬⨰⋰*⋻2443⊵↤)⫌⩉⩟(∟⋨(⋰*⋻1482⇍⊗⋰*⋻2237)))=⋰*⋻-637","reverse_text":"⋰*⋻-637=⩷⨜⫀((⋰*⋻1935⊬⨰⋰*⋻2443⊵↤)⫌⩉⩟(∟⋨(⋰*⋻1482⇍⊗⋰*⋻2237)))","cot":[{"info":"⋰*⋻1935⊬⨰⋰*⋻2443=⋰*⋻A716","layer":3},{"info":"⋰*⋻A716⊵↤=⋰*⋻61","layer":2},{"info":"⋰*⋻1482⇍⊗⋰*⋻2237=⋰*⋻-202","layer":3},{"info":"∟⋨⋰*⋻-202=⋰*⋻602","layer":2},{"info":"⋰*⋻61⫌⩉⩟⋰*⋻602=⋰*⋻-46","layer":1},{"info":"⩷⨜⫀⋰*⋻-46=⋰*⋻-637","layer":0}]}
{"id":936,"expression_no_base_symbol":"(≻⋜(⪁⇼$3001$))∣(($1919$⨵⪆$1393$)⩺⪪($4020$⫲⨊))⩺⪪((⪡⇡≛$1202$)∷(↪⫪⫘$7094$))≁↽≥(⫡⇟⇯$1055$≎⪠$4158$)","expression":"(≻⋜(⪁⇼⋰*⋻2289))∣((⋰*⋻1495⨵⪆⋰*⋻1057)⩺⪪(⋰*⋻3025⫲⨊))⩺⪪((⪡⇡≛⋰*⋻9A3)∷(↪⫪⫘⋰*⋻536A))≁↽≥(⫡⇟⇯⋰*⋻87A≎⪠⋰*⋻3140)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":21328,"operation_count":13,"complexity_ratio":1640.6153846153845,"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":3001,"base":11}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1919,"base":11},"right_expr":{"type":"numeric_atoms","value":1393,"base":11}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":4020,"base":11}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1202,"base":11}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":7094,"base":11}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1055,"base":11},"right_expr":{"type":"numeric_atoms","value":4158,"base":11}}}}},"used_operators":["uvdQJvN4PV","PPChnnnBFF","3tj9sqzovi","ZNVVrZ94lY","2DQ55sFlQl","CArV6hThFE","ncHt1X6cMc","D3AQDKkPcf","qL4PrbW1Dq","9dWsAM3GFt","qWUSsah53b","aNhz54LH3e"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","NTOWxs364D","7j4O788W3g","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","DZ8iAZOCBD","P8v4zCKN1o","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3001","layer":4},{"info":"compute unary expreesion, input=3001, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=1919","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=1393, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4020","layer":4},{"info":"compute unary expreesion, input=4020, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=20883","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=20883, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-342858","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-342858, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1202","layer":3},{"info":"number node, value=7094","layer":4},{"info":"compute unary expreesion, input=7094, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-1202, right_input=20, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=408","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=4158","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=4158, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=39984","layer":2},{"info":"compute binary expreesion, left_input=408, right_input=39984, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=16052","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16052, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≻⋜(⪁⇼⋰*⋻2289))∣((⋰*⋻1495⨵⪆⋰*⋻1057)⩺⪪(⋰*⋻3025⫲⨊))⩺⪪((⪡⇡≛⋰*⋻9A3)∷(↪⫪⫘⋰*⋻536A))≁↽≥(⫡⇟⇯⋰*⋻87A≎⪠⋰*⋻3140)=NaN","reverse_text":"NaN=(≻⋜(⪁⇼⋰*⋻2289))∣((⋰*⋻1495⨵⪆⋰*⋻1057)⩺⪪(⋰*⋻3025⫲⨊))⩺⪪((⪡⇡≛⋰*⋻9A3)∷(↪⫪⫘⋰*⋻536A))≁↽≥(⫡⇟⇯⋰*⋻87A≎⪠⋰*⋻3140)","cot":[{"info":"⪁⇼⋰*⋻2289=⋰*⋻354","layer":3},{"info":"≻⋜⋰*⋻354=NaN","layer":2},{"info":"⋰*⋻1495⨵⪆⋰*⋻1057=⋰*⋻136","layer":3},{"info":"⋰*⋻3025⫲⨊=⋰*⋻14765","layer":3},{"info":"⋰*⋻136⩺⪪⋰*⋻14765=⋰*⋻-21465A","layer":2},{"info":"NaN∣⋰*⋻-21465A=NaN","layer":1},{"info":"⪡⇡≛⋰*⋻9A3=⋰*⋻-9A3","layer":3},{"info":"↪⫪⫘⋰*⋻536A=⋰*⋻19","layer":3},{"info":"⋰*⋻-9A3∷⋰*⋻19=⋰*⋻341","layer":2},{"info":"⋰*⋻87A≎⪠⋰*⋻3140=⋰*⋻13770","layer":3},{"info":"⫡⇟⇯⋰*⋻13770=⋰*⋻2804A","layer":2},{"info":"⋰*⋻341≁↽≥⋰*⋻2804A=⋰*⋻11073","layer":1},{"info":"NaN⩺⪪⋰*⋻11073=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"($7717$⇻⋧≁$2678$*$5573$≄⊠$8071$)⫁⪎(⨈⪑($3187$⨐⩸⫘$5151$))⪄(⨝⨆$4086$)⫗⊷⫓($1869$∐⫣)↳≱($1180$⫗⊷⫓$4320$⨟⋌⩍($1084$⊨$5378$))","expression":"(⋰*⋻5886⇻⋧≁⋰*⋻2015*⋰*⋻4207≄⊠⋰*⋻6078)⫁⪎(⨈⪑(⋰*⋻2438⨐⩸⫘⋰*⋻3963))⪄(⨝⨆⋰*⋻3085)⫗⊷⫓(⋰*⋻144A∐⫣)↳≱(⋰*⋻983⫗⊷⫓⋰*⋻3278⨟⋌⩍(⋰*⋻8A6⊨⋰*⋻404A))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":436530,"operation_count":14,"complexity_ratio":31180.714285714286,"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":7717,"base":11},"right_expr":{"type":"numeric_atoms","value":2678,"base":11}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5573,"base":11},"right_expr":{"type":"numeric_atoms","value":8071,"base":11}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3187,"base":11},"right_expr":{"type":"numeric_atoms","value":5151,"base":11}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4086,"base":11}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":1869,"base":11}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1180,"base":11},"right_expr":{"type":"numeric_atoms","value":4320,"base":11}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1084,"base":11},"right_expr":{"type":"numeric_atoms","value":5378,"base":11}}}}},"used_operators":["SUmda5xLS4","xRrnTEsQ6j","9HNa5Wba9A","jCPkEVoL5K","vXNesLlMH1","mp94q5OcYM","fu6greOZ01","JwTKLfZU96","zashukvMKz","bQ67fsrMVf","4CyGpkTkEk","rGHVDoGpnC","vg4gO5BX6G"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","3ViojmjbAp","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tifHPKVTfV","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","Tcnh7f0tEr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⋰*⋻2A98","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7717","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=7717, right_input=2678, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=5573","layer":4},{"info":"number node, value=8071","layer":4},{"info":"compute binary expreesion, left_input=5573, right_input=8071, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=133804","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=133804, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-59810388","layer":2},{"info":"number node, value=3187","layer":4},{"info":"number node, value=5151","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=5151, 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 = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-59810388, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"number node, value=4086","layer":4},{"info":"compute unary expreesion, input=4086, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3877","layer":3},{"info":"number node, value=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"compute binary expreesion, left_input=3877, right_input=551, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1180","layer":4},{"info":"number node, value=4320","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=4320, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=5378","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=5378, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5367","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=5367, 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=-134, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=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":11,"result_base":11,"text":"(⋰*⋻5886⇻⋧≁⋰*⋻2015*⋰*⋻4207≄⊠⋰*⋻6078)⫁⪎(⨈⪑(⋰*⋻2438⨐⩸⫘⋰*⋻3963))⪄(⨝⨆⋰*⋻3085)⫗⊷⫓(⋰*⋻144A∐⫣)↳≱(⋰*⋻983⫗⊷⫓⋰*⋻3278⨟⋌⩍(⋰*⋻8A6⊨⋰*⋻404A))=⋰*⋻2A98","reverse_text":"⋰*⋻2A98=(⋰*⋻5886⇻⋧≁⋰*⋻2015*⋰*⋻4207≄⊠⋰*⋻6078)⫁⪎(⨈⪑(⋰*⋻2438⨐⩸⫘⋰*⋻3963))⪄(⨝⨆⋰*⋻3085)⫗⊷⫓(⋰*⋻144A∐⫣)↳≱(⋰*⋻983⫗⊷⫓⋰*⋻3278⨟⋌⩍(⋰*⋻8A6⊨⋰*⋻404A))","cot":[{"info":"⋰*⋻5886⇻⋧≁⋰*⋻2015=⋰*⋻-377","layer":3},{"info":"⋰*⋻4207≄⊠⋰*⋻6078=⋰*⋻91590","layer":3},{"info":"⋰*⋻-377*⋰*⋻91590=⋰*⋻-30841480","layer":2},{"info":"⋰*⋻2438⨐⩸⫘⋰*⋻3963=NaN","layer":3},{"info":"⨈⪑NaN=NaN","layer":2},{"info":"⋰*⋻-30841480⫁⪎NaN=NaN","layer":1},{"info":"⨝⨆⋰*⋻3085=⋰*⋻2A05","layer":3},{"info":"⋰*⋻144A∐⫣=⋰*⋻461","layer":3},{"info":"⋰*⋻2A05⫗⊷⫓⋰*⋻461=⋰*⋻-112","layer":2},{"info":"⋰*⋻983⫗⊷⫓⋰*⋻3278=⋰*⋻-112","layer":3},{"info":"⋰*⋻8A6⊨⋰*⋻404A=⋰*⋻403A","layer":3},{"info":"⋰*⋻-112⨟⋌⩍⋰*⋻403A=NaN","layer":2},{"info":"⋰*⋻-112↳≱NaN=⋰*⋻0","layer":1},{"info":"NaN⪄⋰*⋻0=⋰*⋻2A98","layer":0}]}
{"id":938,"expression_no_base_symbol":"(($1830$⪍↜⋙$2878$⫃⨇(+⊝⨔$2575$))⨐⩸⫘(⨦⪝$5015$)⪭$1486$⩁⩘$1505$)⪚((($5967$⨁⊸⫻)⇌⫙⪟$2181$⇻⋧≁$1039$)⩘⨬⇊)","expression":"((⋰*⋻1414⪍↜⋙⋰*⋻2187⫃⨇(+⊝⨔⋰*⋻1A31))⨐⩸⫘(⨦⪝⋰*⋻384A)⪭⋰*⋻1131⩁⩘⋰*⋻1149)⪚(((⋰*⋻4535⨁⊸⫻)⇌⫙⪟⋰*⋻1703⇻⋧≁⋰*⋻865)⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19775,"operation_count":12,"complexity_ratio":1647.9166666666667,"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":1830,"base":11},"right_expr":{"type":"numeric_atoms","value":2878,"base":11}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2575,"base":11}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":5015,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1486,"base":11},"right_expr":{"type":"numeric_atoms","value":1505,"base":11}}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5967,"base":11}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2181,"base":11},"right_expr":{"type":"numeric_atoms","value":1039,"base":11}}}}},"used_operators":["HrjLwUk87U","fu6greOZ01","09Ly4LVMIf","L05ObWFQCd","DhbWaqg5eL","j9kHMeSvPp","SUjycxNXIR","gub5Cegaqo","XXmTpEpWTW","AFVx7xoS7T","glklzrTFfD","jCPkEVoL5K"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","3ViojmjbAp","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","COABgblf1C","xUOZtlo3hN","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","DpFCA1CohY","IWmyXbctLI","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=2878","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=2878, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-15689","layer":3},{"info":"number node, value=2575","layer":4},{"info":"compute unary expreesion, input=2575, 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=-15689, right_input=1522, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6120","layer":2},{"info":"number node, value=5015","layer":4},{"info":"compute unary expreesion, input=5015, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=1505, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6968","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=6968, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=1710","layer":2},{"info":"compute binary expreesion, left_input=-6120, right_input=1710, 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=5967","layer":4},{"info":"compute unary expreesion, input=5967, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5967","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=1039, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=5967, right_input=-447, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=-9663","layer":2},{"info":"compute unary expreesion, input=-9663, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1414⪍↜⋙⋰*⋻2187⫃⨇(+⊝⨔⋰*⋻1A31))⨐⩸⫘(⨦⪝⋰*⋻384A)⪭⋰*⋻1131⩁⩘⋰*⋻1149)⪚(((⋰*⋻4535⨁⊸⫻)⇌⫙⪟⋰*⋻1703⇻⋧≁⋰*⋻865)⩘⨬⇊)=NaN","reverse_text":"NaN=((⋰*⋻1414⪍↜⋙⋰*⋻2187⫃⨇(+⊝⨔⋰*⋻1A31))⨐⩸⫘(⨦⪝⋰*⋻384A)⪭⋰*⋻1131⩁⩘⋰*⋻1149)⪚(((⋰*⋻4535⨁⊸⫻)⇌⫙⪟⋰*⋻1703⇻⋧≁⋰*⋻865)⩘⨬⇊)","cot":[{"info":"⋰*⋻1414⪍↜⋙⋰*⋻2187=⋰*⋻-10873","layer":3},{"info":"+⊝⨔⋰*⋻1A31=⋰*⋻1164","layer":3},{"info":"⋰*⋻-10873⫃⨇⋰*⋻1164=⋰*⋻-4664","layer":2},{"info":"⨦⪝⋰*⋻384A=⋰*⋻-1463","layer":3},{"info":"⋰*⋻1131⩁⩘⋰*⋻1149=⋰*⋻5265","layer":3},{"info":"⋰*⋻-1463⪭⋰*⋻5265=⋰*⋻1315","layer":2},{"info":"⋰*⋻-4664⨐⩸⫘⋰*⋻1315=NaN","layer":1},{"info":"⋰*⋻4535⨁⊸⫻=⋰*⋻4535","layer":3},{"info":"⋰*⋻1703⇻⋧≁⋰*⋻865=⋰*⋻-377","layer":3},{"info":"⋰*⋻4535⇌⫙⪟⋰*⋻-377=⋰*⋻-7295","layer":2},{"info":"⋰*⋻-7295⩘⨬⇊=⋰*⋻-A6","layer":1},{"info":"NaN⪚⋰*⋻-A6=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"(($1545$⨒$4798$)∼($1534$⨸⪁$8235$)≭($1517$⋛$1255$⊭∹↮))⋣⋖((⪫⨮⊛$3614$)↳∿⪆(⪸$2306$)⫲≸⪮($4302$⨐⩸⫘$1205$≓∲$6974$⪛$3424$))","expression":"((⋰*⋻1185⨒⋰*⋻3672)∼(⋰*⋻1175⨸⪁⋰*⋻6207)≭(⋰*⋻115A⋛⋰*⋻A41⊭∹↮))⋣⋖((⪫⨮⊛⋰*⋻2796)↳∿⪆(⪸⋰*⋻1807)⫲≸⪮(⋰*⋻3261⨐⩸⫘⋰*⋻9A6≓∲⋰*⋻5270⪛⋰*⋻2633))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2186419,"operation_count":14,"complexity_ratio":156172.7857142857,"tree":{"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":11},"right_expr":{"type":"numeric_atoms","value":4798,"base":11}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1534,"base":11},"right_expr":{"type":"numeric_atoms","value":8235,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1517,"base":11},"right_expr":{"type":"numeric_atoms","value":1255,"base":11}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":3614,"base":11}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2306,"base":11}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4302,"base":11},"right_expr":{"type":"numeric_atoms","value":1205,"base":11}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6974,"base":11},"right_expr":{"type":"numeric_atoms","value":3424,"base":11}}}}},"used_operators":["J0M6qkBnIM","rxpJgHHUmx","DyGG3AbaNP","y75s1iXyHd","g55IO6H4Gj","xNBdhnnwKq","YbUVn0Rbpy","P3lXMJvFrc","Cw4SuJJGHO","w5FWba1tyO","86A5ENbKR9","s1XTVnmDOJ","fu6greOZ01","uFcxV4UQCh"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1545","layer":4},{"info":"number node, value=4798","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=4798, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-8898","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=8235","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=8235, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19538","layer":3},{"info":"compute binary expreesion, left_input=-8898, right_input=19538, 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=1517","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=1255, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-118539","layer":3},{"info":"compute unary expreesion, input=-118539, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-118539","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-118539, 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=3614","layer":4},{"info":"compute unary expreesion, input=3614, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=2306","layer":4},{"info":"compute unary expreesion, input=2306, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-38993","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-38993, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=4302","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=1205, 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=6974","layer":4},{"info":"number node, value=3424","layer":4},{"info":"compute binary expreesion, left_input=6974, right_input=3424, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=126","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=126, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1185⨒⋰*⋻3672)∼(⋰*⋻1175⨸⪁⋰*⋻6207)≭(⋰*⋻115A⋛⋰*⋻A41⊭∹↮))⋣⋖((⪫⨮⊛⋰*⋻2796)↳∿⪆(⪸⋰*⋻1807)⫲≸⪮(⋰*⋻3261⨐⩸⫘⋰*⋻9A6≓∲⋰*⋻5270⪛⋰*⋻2633))=NaN","reverse_text":"NaN=((⋰*⋻1185⨒⋰*⋻3672)∼(⋰*⋻1175⨸⪁⋰*⋻6207)≭(⋰*⋻115A⋛⋰*⋻A41⊭∹↮))⋣⋖((⪫⨮⊛⋰*⋻2796)↳∿⪆(⪸⋰*⋻1807)⫲≸⪮(⋰*⋻3261⨐⩸⫘⋰*⋻9A6≓∲⋰*⋻5270⪛⋰*⋻2633))","cot":[{"info":"⋰*⋻1185⨒⋰*⋻3672=⋰*⋻-675A","layer":3},{"info":"⋰*⋻1175⨸⪁⋰*⋻6207=⋰*⋻13752","layer":3},{"info":"⋰*⋻-675A∼⋰*⋻13752=NaN","layer":2},{"info":"⋰*⋻115A⋛⋰*⋻A41=⋰*⋻-81073","layer":3},{"info":"⋰*⋻-81073⊭∹↮=⋰*⋻-81073","layer":2},{"info":"NaN≭⋰*⋻-81073=NaN","layer":1},{"info":"⪫⨮⊛⋰*⋻2796=NaN","layer":3},{"info":"⪸⋰*⋻1807=⋰*⋻-27329","layer":3},{"info":"NaN↳∿⪆⋰*⋻-27329=NaN","layer":2},{"info":"⋰*⋻3261⨐⩸⫘⋰*⋻9A6=NaN","layer":3},{"info":"⋰*⋻5270⪛⋰*⋻2633=⋰*⋻105","layer":3},{"info":"NaN≓∲⋰*⋻105=NaN","layer":2},{"info":"NaN⫲≸⪮NaN=NaN","layer":1},{"info":"NaN⋣⋖NaN=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"(⊽(($7143$⫦⪉$4973$)∇⊂⋱($3140$⨪↰⇹$1704$)))⨑≵⋬(⪫⨮⊛$4213$)≄⊠($6584$∑⇟⊟$1096$)⫲≸⪮($4817$≒∊$2035$⪎⩰)","expression":"(⊽((⋰*⋻5404⫦⪉⋰*⋻3811)∇⊂⋱(⋰*⋻23A5⨪↰⇹⋰*⋻130A)))⨑≵⋬(⪫⨮⊛⋰*⋻3190)≄⊠(⋰*⋻4A46∑⇟⊟⋰*⋻907)⫲≸⪮(⋰*⋻368A≒∊⋰*⋻1590⪎⩰)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2551742,"operation_count":11,"complexity_ratio":231976.54545454544,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7143,"base":11},"right_expr":{"type":"numeric_atoms","value":4973,"base":11}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3140,"base":11},"right_expr":{"type":"numeric_atoms","value":1704,"base":11}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":4213,"base":11}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6584,"base":11},"right_expr":{"type":"numeric_atoms","value":1096,"base":11}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":4817,"base":11},"right_expr":{"type":"numeric_atoms","value":2035,"base":11}}}}},"used_operators":["XnXgA4xnOs","QxG7OkqoLX","nhYeJWJD5X","wscyQdcy20","tmPS8pqC7x","P3lXMJvFrc","vXNesLlMH1","w5FWba1tyO","U7g4x0WXJJ","2ufhKmSs5H","5KTvxBwnZo"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rJVOvQCfKK","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⋰*⋻-6942","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7143","layer":4},{"info":"number node, value=4973","layer":4},{"info":"compute binary expreesion, left_input=7143, right_input=4973, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-9386","layer":3},{"info":"number node, value=3140","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=3140, right_input=1704, 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=3140","layer":3},{"info":"compute binary expreesion, left_input=-9386, right_input=3140, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-6280","layer":2},{"info":"compute unary expreesion, input=-6280, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":1},{"info":"number node, value=4213","layer":4},{"info":"compute unary expreesion, input=4213, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=6584","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=6584, right_input=1096, 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 = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=4817","layer":4},{"info":"number node, value=2035","layer":4},{"info":"compute binary expreesion, left_input=4817, right_input=2035, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4333","layer":3},{"info":"compute unary expreesion, input=-4333, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-99141","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-99141, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1500, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-9121","layer":0}],"base":11,"result_base":11,"text":"(⊽((⋰*⋻5404⫦⪉⋰*⋻3811)∇⊂⋱(⋰*⋻23A5⨪↰⇹⋰*⋻130A)))⨑≵⋬(⪫⨮⊛⋰*⋻3190)≄⊠(⋰*⋻4A46∑⇟⊟⋰*⋻907)⫲≸⪮(⋰*⋻368A≒∊⋰*⋻1590⪎⩰)=⋰*⋻-6942","reverse_text":"⋰*⋻-6942=(⊽((⋰*⋻5404⫦⪉⋰*⋻3811)∇⊂⋱(⋰*⋻23A5⨪↰⇹⋰*⋻130A)))⨑≵⋬(⪫⨮⊛⋰*⋻3190)≄⊠(⋰*⋻4A46∑⇟⊟⋰*⋻907)⫲≸⪮(⋰*⋻368A≒∊⋰*⋻1590⪎⩰)","cot":[{"info":"⋰*⋻5404⫦⪉⋰*⋻3811=⋰*⋻-7063","layer":3},{"info":"⋰*⋻23A5⨪↰⇹⋰*⋻130A=⋰*⋻23A5","layer":3},{"info":"⋰*⋻-7063∇⊂⋱⋰*⋻23A5=⋰*⋻-479A","layer":2},{"info":"⊽⋰*⋻-479A=⋰*⋻0","layer":1},{"info":"⪫⨮⊛⋰*⋻3190=NaN","layer":3},{"info":"⋰*⋻4A46∑⇟⊟⋰*⋻907=NaN","layer":3},{"info":"NaN≄⊠NaN=⋰*⋻1144","layer":2},{"info":"⋰*⋻368A≒∊⋰*⋻1590=⋰*⋻-328A","layer":3},{"info":"⋰*⋻-328A⪎⩰=⋰*⋻-68539","layer":2},{"info":"⋰*⋻1144⫲≸⪮⋰*⋻-68539=⋰*⋻1144","layer":1},{"info":"⋰*⋻0⨑≵⋬⋰*⋻1144=⋰*⋻-6942","layer":0}]}
{"id":941,"expression_no_base_symbol":"(($1010$+⪬∐$1504$⪨≂$7334$∠⫱$5434$)⩨($4368$⨫⇇↔$1797$≫≃))⫲⨊","expression":"((⋰*⋻839+⪬∐⋰*⋻1148⪨≂⋰*⋻5568∠⫱⋰*⋻40A0)⩨(⋰*⋻3311⨫⇇↔⋰*⋻1394≫≃))⫲⨊","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":63,"operation_count":7,"complexity_ratio":9.0,"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":1010,"base":11},"right_expr":{"type":"numeric_atoms","value":1504,"base":11}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":7334,"base":11},"right_expr":{"type":"numeric_atoms","value":5434,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4368,"base":11},"right_expr":{"type":"numeric_atoms","value":1797,"base":11}}}}},"used_operators":["CArV6hThFE","2DlMacCsIx","sdazOOVcIp","2GS7woTJqF","QvoQhV0rrE","X99M06cbEe","LXhwmt4mBO"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⋰*⋻666","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=1504, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3030","layer":3},{"info":"number node, value=7334","layer":4},{"info":"number node, value=5434","layer":4},{"info":"compute binary expreesion, left_input=7334, right_input=5434, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-3030, right_input=1234, 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=-8426","layer":2},{"info":"number node, value=4368","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=4368, right_input=1797, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=347","layer":2},{"info":"compute binary expreesion, left_input=-8426, right_input=347, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"compute unary expreesion, input=3, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=798","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻839+⪬∐⋰*⋻1148⪨≂⋰*⋻5568∠⫱⋰*⋻40A0)⩨(⋰*⋻3311⨫⇇↔⋰*⋻1394≫≃))⫲⨊=⋰*⋻666","reverse_text":"⋰*⋻666=((⋰*⋻839+⪬∐⋰*⋻1148⪨≂⋰*⋻5568∠⫱⋰*⋻40A0)⩨(⋰*⋻3311⨫⇇↔⋰*⋻1394≫≃))⫲⨊","cot":[{"info":"⋰*⋻839+⪬∐⋰*⋻1148=⋰*⋻-2305","layer":3},{"info":"⋰*⋻5568∠⫱⋰*⋻40A0=⋰*⋻A22","layer":3},{"info":"⋰*⋻-2305⪨≂⋰*⋻A22=⋰*⋻-6370","layer":2},{"info":"⋰*⋻3311⨫⇇↔⋰*⋻1394=⋰*⋻-43A","layer":3},{"info":"⋰*⋻-43A≫≃=⋰*⋻296","layer":2},{"info":"⋰*⋻-6370⩨⋰*⋻296=⋰*⋻3","layer":1},{"info":"⋰*⋻3⫲⨊=⋰*⋻666","layer":0}]}
{"id":942,"expression_no_base_symbol":"(∂⩏⊆($5451$⇼⇔∾$1569$)≒∊(↥≼⋛$2510$))⩁⩘((($1095$⫲)⊦⊿)≎⊠⪸(↓⇌($1113$∠⫱$1227$)))","expression":"(∂⩏⊆(⋰*⋻4106⇼⇔∾⋰*⋻11A7)≒∊(↥≼⋛⋰*⋻1982))⩁⩘(((⋰*⋻906⫲)⊦⊿)≎⊠⪸(↓⇌(⋰*⋻922∠⫱⋰*⋻A16)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":355,"operation_count":10,"complexity_ratio":35.5,"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":5451,"base":11},"right_expr":{"type":"numeric_atoms","value":1569,"base":11}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2510,"base":11}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1095,"base":11}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1113,"base":11},"right_expr":{"type":"numeric_atoms","value":1227,"base":11}}}}},"used_operators":["gub5Cegaqo","8WDwsbhb0R","5KTvxBwnZo","tifHPKVTfV","x5lMkHmzsq","bJkvcejdHO","14qkJME0vr","9xnGDUPbC6","PxpmPgHHJV","QvoQhV0rrE"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","14qkJME0vr","eLAdDNolq6","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋰*⋻154170A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5451","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=5451, right_input=1569, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3882","layer":3},{"info":"number node, value=2510","layer":4},{"info":"compute unary expreesion, input=2510, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=-3882, right_input=-113, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=4366","layer":2},{"info":"compute unary expreesion, input=4366, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-13177","layer":1},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=822","layer":3},{"info":"compute unary expreesion, input=822, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-2545","layer":2},{"info":"number node, value=1113","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1227, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-2545, right_input=1234, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=659155","layer":1},{"info":"compute binary expreesion, left_input=-13177, right_input=659155, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=2637568","layer":0}],"base":11,"result_base":11,"text":"(∂⩏⊆(⋰*⋻4106⇼⇔∾⋰*⋻11A7)≒∊(↥≼⋛⋰*⋻1982))⩁⩘(((⋰*⋻906⫲)⊦⊿)≎⊠⪸(↓⇌(⋰*⋻922∠⫱⋰*⋻A16)))=⋰*⋻154170A","reverse_text":"⋰*⋻154170A=(∂⩏⊆(⋰*⋻4106⇼⇔∾⋰*⋻11A7)≒∊(↥≼⋛⋰*⋻1982))⩁⩘(((⋰*⋻906⫲)⊦⊿)≎⊠⪸(↓⇌(⋰*⋻922∠⫱⋰*⋻A16)))","cot":[{"info":"⋰*⋻4106⇼⇔∾⋰*⋻11A7=⋰*⋻-2A0A","layer":3},{"info":"↥≼⋛⋰*⋻1982=⋰*⋻-A3","layer":3},{"info":"⋰*⋻-2A0A≒∊⋰*⋻-A3=⋰*⋻330A","layer":2},{"info":"∂⩏⊆⋰*⋻330A=⋰*⋻-999A","layer":1},{"info":"⋰*⋻906⫲=⋰*⋻688","layer":3},{"info":"⋰*⋻688⊦⊿=⋰*⋻-1A04","layer":2},{"info":"⋰*⋻922∠⫱⋰*⋻A16=⋰*⋻A22","layer":3},{"info":"↓⇌⋰*⋻A22=⋰*⋻A22","layer":2},{"info":"⋰*⋻-1A04≎⊠⪸⋰*⋻A22=⋰*⋻410262","layer":1},{"info":"⋰*⋻-999A⩁⩘⋰*⋻410262=⋰*⋻154170A","layer":0}]}
{"id":943,"expression_no_base_symbol":"(⨂⪏⇭(($1464$⊋≦⊧$8678$)⨓($3551$≃$2043$)))⊕∕(($2298$⊝⪿⪼$3932$)⩘$1681$⫘$1826$⨵⪆(≯(⨙⪌$1455$)))","expression":"(⨂⪏⇭((⋰*⋻1111⊋≦⊧⋰*⋻657A)⨓(⋰*⋻2739≃⋰*⋻1598)))⊕∕((⋰*⋻17AA⊝⪿⪼⋰*⋻2A55)⩘⋰*⋻1299⫘⋰*⋻1410⨵⪆(≯(⨙⪌⋰*⋻1103)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17242,"operation_count":11,"complexity_ratio":1567.4545454545455,"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":1464,"base":11},"right_expr":{"type":"numeric_atoms","value":8678,"base":11}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3551,"base":11},"right_expr":{"type":"numeric_atoms","value":2043,"base":11}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2298,"base":11},"right_expr":{"type":"numeric_atoms","value":3932,"base":11}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1681,"base":11},"right_expr":{"type":"numeric_atoms","value":1826,"base":11}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1455,"base":11}}}}},"used_operators":["9cloC0Ngie","AYdpE9sXAk","3ViojmjbAp","oRDoc9rAEX","YbVcJGFEVW","2DQ55sFlQl","cHh1gJQ2o6","3Oe9XWJUTD","48vC8HMD2b","keWfFq85dY","vEGLkm4Z2k"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","g55IO6H4Gj","JLbD19bQDL","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⋰*⋻293AA","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1464","layer":4},{"info":"number node, value=8678","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=8678, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-9902","layer":3},{"info":"number node, value=3551","layer":4},{"info":"number node, value=2043","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=2043, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-14244","layer":3},{"info":"compute binary expreesion, left_input=-9902, right_input=-14244, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=14241","layer":2},{"info":"compute unary expreesion, input=14241, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=41744","layer":1},{"info":"number node, value=2298","layer":4},{"info":"number node, value=3932","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=3932, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=44402","layer":3},{"info":"number node, value=1681","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=1826, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1981261","layer":3},{"info":"compute binary expreesion, left_input=44402, right_input=1981261, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1455","layer":4},{"info":"compute unary expreesion, input=1455, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, 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=41744, right_input=160, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=41744","layer":0}],"base":11,"result_base":11,"text":"(⨂⪏⇭((⋰*⋻1111⊋≦⊧⋰*⋻657A)⨓(⋰*⋻2739≃⋰*⋻1598)))⊕∕((⋰*⋻17AA⊝⪿⪼⋰*⋻2A55)⩘⋰*⋻1299⫘⋰*⋻1410⨵⪆(≯(⨙⪌⋰*⋻1103)))=⋰*⋻293AA","reverse_text":"⋰*⋻293AA=(⨂⪏⇭((⋰*⋻1111⊋≦⊧⋰*⋻657A)⨓(⋰*⋻2739≃⋰*⋻1598)))⊕∕((⋰*⋻17AA⊝⪿⪼⋰*⋻2A55)⩘⋰*⋻1299⫘⋰*⋻1410⨵⪆(≯(⨙⪌⋰*⋻1103)))","cot":[{"info":"⋰*⋻1111⊋≦⊧⋰*⋻657A=⋰*⋻-7492","layer":3},{"info":"⋰*⋻2739≃⋰*⋻1598=⋰*⋻-A77A","layer":3},{"info":"⋰*⋻-7492⨓⋰*⋻-A77A=⋰*⋻A777","layer":2},{"info":"⨂⪏⇭⋰*⋻A777=⋰*⋻293AA","layer":1},{"info":"⋰*⋻17AA⊝⪿⪼⋰*⋻2A55=⋰*⋻303A6","layer":3},{"info":"⋰*⋻1299⫘⋰*⋻1410=⋰*⋻1133607","layer":3},{"info":"⋰*⋻303A6⩘⋰*⋻1133607=⋰*⋻136","layer":2},{"info":"⨙⪌⋰*⋻1103=⋰*⋻71A","layer":3},{"info":"≯⋰*⋻71A=⋰*⋻0","layer":2},{"info":"⋰*⋻136⨵⪆⋰*⋻0=⋰*⋻136","layer":1},{"info":"⋰*⋻293AA⊕∕⋰*⋻136=⋰*⋻293AA","layer":0}]}
{"id":944,"expression_no_base_symbol":"($1720$≁↽≥$4648$⩘(⇐$1886$)⋣⋖(($3858$⊚⫡⫭)∀⇚≩($3343$⫲≸⪮$4052$)))↦","expression":"(⋰*⋻1324≁↽≥⋰*⋻3546⩘(⇐⋰*⋻1465)⋣⋖((⋰*⋻2998⊚⫡⫭)∀⇚≩(⋰*⋻256A⫲≸⪮⋰*⋻3054)))↦","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":51383,"operation_count":8,"complexity_ratio":6422.875,"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":1720,"base":11},"right_expr":{"type":"numeric_atoms","value":4648,"base":11}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1886,"base":11}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":3858,"base":11}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3343,"base":11},"right_expr":{"type":"numeric_atoms","value":4052,"base":11}}}}},"used_operators":["fFznvYxMfW","J0M6qkBnIM","cHh1gJQ2o6","ncHt1X6cMc","nmZMaaE0Q9","LRNGc0VcxI","SpZWOsLKZJ","P3lXMJvFrc"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1720","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=4648, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=35732","layer":3},{"info":"number node, value=1886","layer":4},{"info":"compute unary expreesion, input=1886, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4218","layer":3},{"info":"compute binary expreesion, left_input=35732, right_input=4218, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=3858","layer":4},{"info":"compute unary expreesion, input=3858, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-6790","layer":3},{"info":"number node, value=3343","layer":4},{"info":"number node, value=4052","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=4052, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3343","layer":3},{"info":"compute binary expreesion, left_input=-6790, right_input=3343, 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 = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1324≁↽≥⋰*⋻3546⩘(⇐⋰*⋻1465)⋣⋖((⋰*⋻2998⊚⫡⫭)∀⇚≩(⋰*⋻256A⫲≸⪮⋰*⋻3054)))↦=NaN","reverse_text":"NaN=(⋰*⋻1324≁↽≥⋰*⋻3546⩘(⇐⋰*⋻1465)⋣⋖((⋰*⋻2998⊚⫡⫭)∀⇚≩(⋰*⋻256A⫲≸⪮⋰*⋻3054)))↦","cot":[{"info":"⋰*⋻1324≁↽≥⋰*⋻3546=⋰*⋻24934","layer":3},{"info":"⇐⋰*⋻1465=⋰*⋻3195","layer":3},{"info":"⋰*⋻24934⩘⋰*⋻3195=⋰*⋻136","layer":2},{"info":"⋰*⋻2998⊚⫡⫭=⋰*⋻-5113","layer":3},{"info":"⋰*⋻256A⫲≸⪮⋰*⋻3054=⋰*⋻256A","layer":3},{"info":"⋰*⋻-5113∀⇚≩⋰*⋻256A=NaN","layer":2},{"info":"⋰*⋻136⋣⋖NaN=⋰*⋻136","layer":1},{"info":"⋰*⋻136↦=NaN","layer":0}]}
{"id":945,"expression_no_base_symbol":"$3706$≦↸$3529$⪘⫢$3001$⪃⊛⇣$1415$≧⫂∧($3288$⪎↠$4233$↡⊰⫅$2647$⊝⪿⪼$4478$)∠⫱($1213$⨪↰⇹$4391$)≀⫉$3058$⋣⋖$5653$⫥∨⫟$1415$⩦$4638$⪇≇⋚$2896$⨽∌$3941$","expression":"⋰*⋻286A≦↸⋰*⋻2719⪘⫢⋰*⋻2289⪃⊛⇣⋰*⋻1077≧⫂∧(⋰*⋻251A⪎↠⋰*⋻31A9↡⊰⫅⋰*⋻1A97⊝⪿⪼⋰*⋻3401)∠⫱(⋰*⋻A03⨪↰⇹⋰*⋻3332)≀⫉⋰*⋻2330⋣⋖⋰*⋻427A⫥∨⫟⋰*⋻1077⩦⋰*⋻3537⪇≇⋚⋰*⋻21A3⨽∌⋰*⋻2A63","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":697183,"operation_count":15,"complexity_ratio":46478.86666666667,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3706,"base":11},"right_expr":{"type":"numeric_atoms","value":3529,"base":11}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3001,"base":11},"right_expr":{"type":"numeric_atoms","value":1415,"base":11}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3288,"base":11},"right_expr":{"type":"numeric_atoms","value":4233,"base":11}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2647,"base":11},"right_expr":{"type":"numeric_atoms","value":4478,"base":11}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1213,"base":11},"right_expr":{"type":"numeric_atoms","value":4391,"base":11}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3058,"base":11},"right_expr":{"type":"numeric_atoms","value":5653,"base":11}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1415,"base":11},"right_expr":{"type":"numeric_atoms","value":4638,"base":11}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2896,"base":11},"right_expr":{"type":"numeric_atoms","value":3941,"base":11}}}}},"used_operators":["QvoQhV0rrE","Ph9nP6C5qx","oacrs7FA3X","RygbFNSyEJ","rrgAzCduG9","VCtxkLNOzz","3tVxb0NHM4","3Oe9XWJUTD","KYD54nUTWz","oZj3VtZNQx","tmPS8pqC7x","J0M6qkBnIM","3sJ7IOPOlU","0kmYd0q39Y","9samAPKr6k"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rJVOvQCfKK","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3706","layer":4},{"info":"number node, value=3529","layer":4},{"info":"compute binary expreesion, left_input=3706, right_input=3529, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13789","layer":3},{"info":"number node, value=3001","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=3001, right_input=1415, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-13789, right_input=1234, 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=3288","layer":4},{"info":"number node, value=4233","layer":4},{"info":"compute binary expreesion, left_input=3288, right_input=4233, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=2647","layer":4},{"info":"number node, value=4478","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=4478, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=49637","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=49637, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=99274","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=99274, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=98801","layer":1},{"info":"number node, value=1213","layer":4},{"info":"number node, value=4391","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=4391, 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=1213","layer":3},{"info":"number node, value=3058","layer":4},{"info":"number node, value=5653","layer":4},{"info":"compute binary expreesion, left_input=3058, right_input=5653, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3058","layer":3},{"info":"compute binary expreesion, left_input=1213, right_input=3058, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=1415","layer":4},{"info":"number node, value=4638","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=4638, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2830","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=3941, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2830, right_input=0, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=98801, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻286A≦↸⋰*⋻2719⪘⫢⋰*⋻2289⪃⊛⇣⋰*⋻1077≧⫂∧(⋰*⋻251A⪎↠⋰*⋻31A9↡⊰⫅⋰*⋻1A97⊝⪿⪼⋰*⋻3401)∠⫱(⋰*⋻A03⨪↰⇹⋰*⋻3332)≀⫉⋰*⋻2330⋣⋖⋰*⋻427A⫥∨⫟⋰*⋻1077⩦⋰*⋻3537⪇≇⋚⋰*⋻21A3⨽∌⋰*⋻2A63=NaN","reverse_text":"NaN=⋰*⋻286A≦↸⋰*⋻2719⪘⫢⋰*⋻2289⪃⊛⇣⋰*⋻1077≧⫂∧(⋰*⋻251A⪎↠⋰*⋻31A9↡⊰⫅⋰*⋻1A97⊝⪿⪼⋰*⋻3401)∠⫱(⋰*⋻A03⨪↰⇹⋰*⋻3332)≀⫉⋰*⋻2330⋣⋖⋰*⋻427A⫥∨⫟⋰*⋻1077⩦⋰*⋻3537⪇≇⋚⋰*⋻21A3⨽∌⋰*⋻2A63","cot":[{"info":"⋰*⋻286A≦↸⋰*⋻2719=⋰*⋻-A3A6","layer":3},{"info":"⋰*⋻2289⪃⊛⇣⋰*⋻1077=⋰*⋻A22","layer":3},{"info":"⋰*⋻-A3A6⪘⫢⋰*⋻A22=⋰*⋻-1","layer":2},{"info":"⋰*⋻251A⪎↠⋰*⋻31A9=⋰*⋻136","layer":3},{"info":"⋰*⋻1A97⊝⪿⪼⋰*⋻3401=⋰*⋻34325","layer":3},{"info":"⋰*⋻136↡⊰⫅⋰*⋻34325=⋰*⋻6864A","layer":2},{"info":"⋰*⋻-1≧⫂∧⋰*⋻6864A=⋰*⋻6825A","layer":1},{"info":"⋰*⋻A03⨪↰⇹⋰*⋻3332=⋰*⋻A03","layer":3},{"info":"⋰*⋻2330⋣⋖⋰*⋻427A=⋰*⋻2330","layer":3},{"info":"⋰*⋻A03≀⫉⋰*⋻2330=⋰*⋻2136","layer":2},{"info":"⋰*⋻1077⩦⋰*⋻3537=⋰*⋻2143","layer":3},{"info":"⋰*⋻21A3⨽∌⋰*⋻2A63=⋰*⋻0","layer":3},{"info":"⋰*⋻2143⪇≇⋚⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻2136⫥∨⫟⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻6825A∠⫱NaN=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"((($4033$⫏⊷)⫚⫇)⊉≛↸$1601$∴$3216$≓∲($5178$⨲∙))⨫⇇↔(⪁⇼($7485$⋥≓≎$1851$)⫣⪄⊒($5049$⫡⨏$1255$))","expression":"(((⋰*⋻3037⫏⊷)⫚⫇)⊉≛↸⋰*⋻1226∴⋰*⋻2464≓∲(⋰*⋻3988⨲∙))⨫⇇↔(⪁⇼(⋰*⋻5695⋥≓≎⋰*⋻1433)⫣⪄⊒(⋰*⋻3880⫡⨏⋰*⋻A41))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12875,"operation_count":11,"complexity_ratio":1170.4545454545455,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":4033,"base":11}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1601,"base":11},"right_expr":{"type":"numeric_atoms","value":3216,"base":11}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":5178,"base":11}}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7485,"base":11},"right_expr":{"type":"numeric_atoms","value":1851,"base":11}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5049,"base":11},"right_expr":{"type":"numeric_atoms","value":1255,"base":11}}}}},"used_operators":["LXhwmt4mBO","DZ8iAZOCBD","SdCjLnB6rR","dcShxvzhyw","s1XTVnmDOJ","hrf7POJlIJ","cRahaglYVE","ZNVVrZ94lY","RabNbG55vr","Qy55tPpLXF","QMFrweE19q"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋰*⋻-43A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4033","layer":4},{"info":"compute unary expreesion, input=4033, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute unary expreesion, input=-820, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"number node, value=1601","layer":4},{"info":"number node, value=3216","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=3216, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4850","layer":3},{"info":"number node, value=5178","layer":4},{"info":"compute unary expreesion, input=5178, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=67991886","layer":3},{"info":"compute binary expreesion, left_input=4850, right_input=67991886, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=49283","layer":2},{"info":"compute binary expreesion, left_input=-522, right_input=49283, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-49283","layer":1},{"info":"number node, value=7485","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=7485, right_input=1851, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3750","layer":3},{"info":"number node, value=5049","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=1255, 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=28538","layer":3},{"info":"compute binary expreesion, left_input=-3750, right_input=28538, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7184","layer":2},{"info":"compute unary expreesion, input=-7184, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute binary expreesion, left_input=-49283, right_input=422, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻3037⫏⊷)⫚⫇)⊉≛↸⋰*⋻1226∴⋰*⋻2464≓∲(⋰*⋻3988⨲∙))⨫⇇↔(⪁⇼(⋰*⋻5695⋥≓≎⋰*⋻1433)⫣⪄⊒(⋰*⋻3880⫡⨏⋰*⋻A41))=⋰*⋻-43A","reverse_text":"⋰*⋻-43A=(((⋰*⋻3037⫏⊷)⫚⫇)⊉≛↸⋰*⋻1226∴⋰*⋻2464≓∲(⋰*⋻3988⨲∙))⨫⇇↔(⪁⇼(⋰*⋻5695⋥≓≎⋰*⋻1433)⫣⪄⊒(⋰*⋻3880⫡⨏⋰*⋻A41))","cot":[{"info":"⋰*⋻3037⫏⊷=⋰*⋻-686","layer":3},{"info":"⋰*⋻-686⫚⫇=⋰*⋻-435","layer":2},{"info":"⋰*⋻1226∴⋰*⋻2464=⋰*⋻370A","layer":3},{"info":"⋰*⋻3988⨲∙=⋰*⋻3541A346","layer":3},{"info":"⋰*⋻370A≓∲⋰*⋻3541A346=⋰*⋻34033","layer":2},{"info":"⋰*⋻-435⊉≛↸⋰*⋻34033=⋰*⋻-34033","layer":1},{"info":"⋰*⋻5695⋥≓≎⋰*⋻1433=⋰*⋻-28AA","layer":3},{"info":"⋰*⋻3880⫡⨏⋰*⋻A41=⋰*⋻1A494","layer":3},{"info":"⋰*⋻-28AA⫣⪄⊒⋰*⋻1A494=⋰*⋻-5441","layer":2},{"info":"⪁⇼⋰*⋻-5441=⋰*⋻354","layer":1},{"info":"⋰*⋻-34033⨫⇇↔⋰*⋻354=⋰*⋻-43A","layer":0}]}
{"id":947,"expression_no_base_symbol":"($1689$≳⇉$2369$∛≔)⪔⊥((+⊝⨔$1091$)≒∊$1002$⩁⩘$4951$)⪍↜⋙(∂$4970$≦↸$8620$)⊉↱≁(($4550$⫌⩉⩟$1230$)≫≃)","expression":"(⋰*⋻12A6≳⇉⋰*⋻1864∛≔)⪔⊥((+⊝⨔⋰*⋻902)≒∊⋰*⋻831⩁⩘⋰*⋻37A1)⪍↜⋙(∂⋰*⋻3809≦↸⋰*⋻6527)⊉↱≁((⋰*⋻3467⫌⩉⩟⋰*⋻A19)≫≃)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":72827327,"operation_count":12,"complexity_ratio":6068943.916666667,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1689,"base":11},"right_expr":{"type":"numeric_atoms","value":2369,"base":11}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1091,"base":11}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1002,"base":11},"right_expr":{"type":"numeric_atoms","value":4951,"base":11}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4970,"base":11},"right_expr":{"type":"numeric_atoms","value":8620,"base":11}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4550,"base":11},"right_expr":{"type":"numeric_atoms","value":1230,"base":11}}}}},"used_operators":["L05ObWFQCd","HJ9erzHUuu","mGnSCrte3L","V0kx6qeWkN","5KTvxBwnZo","DhbWaqg5eL","gub5Cegaqo","w2P8NbNXyL","Uaa54Peajs","RygbFNSyEJ","X99M06cbEe","XIIwhv8d0m"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1689","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=2369, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":2},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, 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=1002","layer":4},{"info":"number node, value=4951","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=4951, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=20752","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=20752, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1038","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1038, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=4970","layer":4},{"info":"number node, value=8620","layer":4},{"info":"compute binary expreesion, left_input=4970, right_input=8620, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-26499","layer":3},{"info":"compute unary expreesion, input=-26499, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=26235","layer":2},{"info":"number node, value=4550","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=4550, right_input=1230, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1301","layer":2},{"info":"compute binary expreesion, left_input=26235, right_input=1301, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=254492","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=254492, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻12A6≳⇉⋰*⋻1864∛≔)⪔⊥((+⊝⨔⋰*⋻902)≒∊⋰*⋻831⩁⩘⋰*⋻37A1)⪍↜⋙(∂⋰*⋻3809≦↸⋰*⋻6527)⊉↱≁((⋰*⋻3467⫌⩉⩟⋰*⋻A19)≫≃)=NaN","reverse_text":"NaN=(⋰*⋻12A6≳⇉⋰*⋻1864∛≔)⪔⊥((+⊝⨔⋰*⋻902)≒∊⋰*⋻831⩁⩘⋰*⋻37A1)⪍↜⋙(∂⋰*⋻3809≦↸⋰*⋻6527)⊉↱≁((⋰*⋻3467⫌⩉⩟⋰*⋻A19)≫≃)","cot":[{"info":"⋰*⋻12A6≳⇉⋰*⋻1864=NaN","layer":3},{"info":"NaN∛≔=NaN","layer":2},{"info":"+⊝⨔⋰*⋻902=⋰*⋻1164","layer":3},{"info":"⋰*⋻831⩁⩘⋰*⋻37A1=⋰*⋻14656","layer":3},{"info":"⋰*⋻1164≒∊⋰*⋻14656=⋰*⋻-864","layer":2},{"info":"NaN⪔⊥⋰*⋻-864=NaN","layer":1},{"info":"⋰*⋻3809≦↸⋰*⋻6527=⋰*⋻-18A00","layer":3},{"info":"∂⋰*⋻-18A00=⋰*⋻18790","layer":2},{"info":"⋰*⋻3467⫌⩉⩟⋰*⋻A19=⋰*⋻-46","layer":3},{"info":"⋰*⋻-46≫≃=⋰*⋻A83","layer":2},{"info":"⋰*⋻18790⊉↱≁⋰*⋻A83=⋰*⋻164227","layer":1},{"info":"NaN⪍↜⋙⋰*⋻164227=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"(($1161$∲⫓$2117$)⪔$2734$⩘$2658$)⋣⋖(↩$4324$)⨂≜($2111$⩷∴$1631$)∌↝(($1714$≭$3982$)↳≱($7953$⪁$1997$)⩒⫫($2487$⇤$3839$≬⇓$1139$⩚⊴⇥$1479$))","expression":"((⋰*⋻966∲⫓⋰*⋻1655)⪔⋰*⋻2066⩘⋰*⋻1AA7)⋣⋖(↩⋰*⋻3281)⨂≜(⋰*⋻164A⩷∴⋰*⋻1253)∌↝((⋰*⋻1319≭⋰*⋻2AA0)↳≱(⋰*⋻5A80⪁⋰*⋻1556)⩒⫫(⋰*⋻1961⇤⋰*⋻2980≬⇓⋰*⋻946⩚⊴⇥⋰*⋻1125))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":55041662,"operation_count":15,"complexity_ratio":3669444.1333333333,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1161,"base":11},"right_expr":{"type":"numeric_atoms","value":2117,"base":11}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2734,"base":11},"right_expr":{"type":"numeric_atoms","value":2658,"base":11}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4324,"base":11}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2111,"base":11},"right_expr":{"type":"numeric_atoms","value":1631,"base":11}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1714,"base":11},"right_expr":{"type":"numeric_atoms","value":3982,"base":11}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":7953,"base":11},"right_expr":{"type":"numeric_atoms","value":1997,"base":11}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2487,"base":11},"right_expr":{"type":"numeric_atoms","value":3839,"base":11}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1139,"base":11},"right_expr":{"type":"numeric_atoms","value":1479,"base":11}}}}},"used_operators":["9Isq31Ruls","J0M6qkBnIM","GjBEYRfMaF","i8ToyICDmI","cHh1gJQ2o6","k1SHOSEABc","jLgFTUHLKL","9FxExcQeMw","KFSx94NKJn","JwTKLfZU96","rxpJgHHUmx","I7sXao9hZE","jWTQ2TZYIH","YSKBFp38Pu","NTOWxs364D"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=2117, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2734","layer":4},{"info":"number node, value=2658","layer":4},{"info":"compute binary expreesion, left_input=2734, right_input=2658, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"number node, value=4324","layer":4},{"info":"compute unary expreesion, input=4324, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-31812","layer":3},{"info":"number node, value=2111","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=1631, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=928","layer":3},{"info":"compute binary expreesion, left_input=-31812, right_input=928, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"number node, value=1714","layer":4},{"info":"number node, value=3982","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=3982, 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=7953","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=7953, right_input=1997, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=2487","layer":4},{"info":"number node, value=3839","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=3839, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-28782","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1479, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2739","layer":3},{"info":"compute binary expreesion, left_input=-28782, right_input=-2739, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=inf, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻966∲⫓⋰*⋻1655)⪔⋰*⋻2066⩘⋰*⋻1AA7)⋣⋖(↩⋰*⋻3281)⨂≜(⋰*⋻164A⩷∴⋰*⋻1253)∌↝((⋰*⋻1319≭⋰*⋻2AA0)↳≱(⋰*⋻5A80⪁⋰*⋻1556)⩒⫫(⋰*⋻1961⇤⋰*⋻2980≬⇓⋰*⋻946⩚⊴⇥⋰*⋻1125))=NaN","reverse_text":"NaN=((⋰*⋻966∲⫓⋰*⋻1655)⪔⋰*⋻2066⩘⋰*⋻1AA7)⋣⋖(↩⋰*⋻3281)⨂≜(⋰*⋻164A⩷∴⋰*⋻1253)∌↝((⋰*⋻1319≭⋰*⋻2AA0)↳≱(⋰*⋻5A80⪁⋰*⋻1556)⩒⫫(⋰*⋻1961⇤⋰*⋻2980≬⇓⋰*⋻946⩚⊴⇥⋰*⋻1125))","cot":[{"info":"⋰*⋻966∲⫓⋰*⋻1655=⋰*⋻0","layer":3},{"info":"⋰*⋻2066⩘⋰*⋻1AA7=⋰*⋻136","layer":3},{"info":"⋰*⋻0⪔⋰*⋻136=NaN","layer":2},{"info":"↩⋰*⋻3281=⋰*⋻-219A0","layer":3},{"info":"⋰*⋻164A⩷∴⋰*⋻1253=⋰*⋻774","layer":3},{"info":"⋰*⋻-219A0⨂≜⋰*⋻774=NaN","layer":2},{"info":"NaN⋣⋖NaN=NaN","layer":1},{"info":"⋰*⋻1319≭⋰*⋻2AA0=NaN","layer":3},{"info":"⋰*⋻5A80⪁⋰*⋻1556=NaN","layer":3},{"info":"NaN↳≱NaN=⋰*⋻0","layer":2},{"info":"⋰*⋻1961⇤⋰*⋻2980=⋰*⋻-1A696","layer":3},{"info":"⋰*⋻946⩚⊴⇥⋰*⋻1125=⋰*⋻-2070","layer":3},{"info":"⋰*⋻-1A696≬⇓⋰*⋻-2070=Inf","layer":2},{"info":"⋰*⋻0⩒⫫Inf=NaN","layer":1},{"info":"NaN∌↝NaN=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"($5552$⊲⩕⊾$4273$⋅⇍$1922$∘$2027$)⫲≸⪮(⩦⊞$1100$≨$1320$)⫩⊇","expression":"(⋰*⋻4198⊲⩕⊾⋰*⋻3235⋅⇍⋰*⋻1498∘⋰*⋻1583)⫲≸⪮(⩦⊞⋰*⋻910≨⋰*⋻AA0)⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":132,"operation_count":7,"complexity_ratio":18.857142857142858,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5552,"base":11},"right_expr":{"type":"numeric_atoms","value":4273,"base":11}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1922,"base":11},"right_expr":{"type":"numeric_atoms","value":2027,"base":11}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1100,"base":11},"right_expr":{"type":"numeric_atoms","value":1320,"base":11}}}}},"used_operators":["BjRHVeLaeN","P3lXMJvFrc","AdZkA7nFnk","DmTXOeWf9t","Z5m6OM72h2","u7fv1HBiaC","0KMCeP1Jsh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⋰*⋻59","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5552","layer":4},{"info":"number node, value=4273","layer":4},{"info":"compute binary expreesion, left_input=5552, right_input=4273, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-128192","layer":3},{"info":"number node, value=1922","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=2027, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3844","layer":3},{"info":"compute binary expreesion, left_input=-128192, right_input=3844, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1100","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1320, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8524","layer":3},{"info":"compute unary expreesion, input=-8524, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-17104","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-17104, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=64","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4198⊲⩕⊾⋰*⋻3235⋅⇍⋰*⋻1498∘⋰*⋻1583)⫲≸⪮(⩦⊞⋰*⋻910≨⋰*⋻AA0)⫩⊇=⋰*⋻59","reverse_text":"⋰*⋻59=(⋰*⋻4198⊲⩕⊾⋰*⋻3235⋅⇍⋰*⋻1498∘⋰*⋻1583)⫲≸⪮(⩦⊞⋰*⋻910≨⋰*⋻AA0)⫩⊇","cot":[{"info":"⋰*⋻4198⊲⩕⊾⋰*⋻3235=⋰*⋻-88349","layer":3},{"info":"⋰*⋻1498∘⋰*⋻1583=⋰*⋻2985","layer":3},{"info":"⋰*⋻-88349⋅⇍⋰*⋻2985=⋰*⋻-20","layer":2},{"info":"⋰*⋻910≨⋰*⋻AA0=⋰*⋻-644A","layer":3},{"info":"⩦⊞⋰*⋻-644A=⋰*⋻-1193A","layer":2},{"info":"⋰*⋻-20⫲≸⪮⋰*⋻-1193A=⋰*⋻-20","layer":1},{"info":"⋰*⋻-20⫩⊇=⋰*⋻59","layer":0}]}
{"id":950,"expression_no_base_symbol":"(↘(($1451$⪨≂$1803$)≧⫂∧$1805$↤⩊$1116$))≠≀(∂⩏⊆$4683$⩒⫫$5623$)⩌⋺(⇁⨣⪵$1124$)⩦($3603$⋭≵$7211$)","expression":"(↘((⋰*⋻10AA⪨≂⋰*⋻139A)≧⫂∧⋰*⋻13A1↤⩊⋰*⋻925))≠≀(∂⩏⊆⋰*⋻3578⩒⫫⋰*⋻4252)⩌⋺(⇁⨣⪵⋰*⋻932)⩦(⋰*⋻2786⋭≵⋰*⋻5466)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":306,"operation_count":11,"complexity_ratio":27.818181818181817,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1451,"base":11},"right_expr":{"type":"numeric_atoms","value":1803,"base":11}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1805,"base":11},"right_expr":{"type":"numeric_atoms","value":1116,"base":11}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4683,"base":11},"right_expr":{"type":"numeric_atoms","value":5623,"base":11}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1124,"base":11}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3603,"base":11},"right_expr":{"type":"numeric_atoms","value":7211,"base":11}}}}},"used_operators":["IwW236VD4Y","LdNpr8hQHL","Ph9nP6C5qx","sdazOOVcIp","13rbtpv6ld","g7Hmc5v1ko","8WDwsbhb0R","KFSx94NKJn","0kmYd0q39Y","inkyxCbjAn","jBncVCNhdl"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","uFcxV4UQCh","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","14qkJME0vr","eLAdDNolq6","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","B5M0gjZbta","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1451","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1803, 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=-602","layer":3},{"info":"number node, value=1805","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=1116, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-602, 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 = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=nan","layer":1},{"info":"number node, value=4683","layer":4},{"info":"number node, value=5623","layer":4},{"info":"compute binary expreesion, left_input=4683, right_input=5623, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4381","layer":3},{"info":"compute unary expreesion, input=4381, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-13222","layer":2},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3603","layer":4},{"info":"number node, value=7211","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=7211, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13222, right_input=nan, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(↘((⋰*⋻10AA⪨≂⋰*⋻139A)≧⫂∧⋰*⋻13A1↤⩊⋰*⋻925))≠≀(∂⩏⊆⋰*⋻3578⩒⫫⋰*⋻4252)⩌⋺(⇁⨣⪵⋰*⋻932)⩦(⋰*⋻2786⋭≵⋰*⋻5466)=NaN","reverse_text":"NaN=(↘((⋰*⋻10AA⪨≂⋰*⋻139A)≧⫂∧⋰*⋻13A1↤⩊⋰*⋻925))≠≀(∂⩏⊆⋰*⋻3578⩒⫫⋰*⋻4252)⩌⋺(⇁⨣⪵⋰*⋻932)⩦(⋰*⋻2786⋭≵⋰*⋻5466)","cot":[{"info":"⋰*⋻10AA⪨≂⋰*⋻139A=⋰*⋻-4A8","layer":3},{"info":"⋰*⋻13A1↤⩊⋰*⋻925=NaN","layer":3},{"info":"⋰*⋻-4A8≧⫂∧NaN=NaN","layer":2},{"info":"↘NaN=NaN","layer":1},{"info":"⋰*⋻3578⩒⫫⋰*⋻4252=⋰*⋻3323","layer":3},{"info":"∂⩏⊆⋰*⋻3323=⋰*⋻-9A30","layer":2},{"info":"⇁⨣⪵⋰*⋻932=NaN","layer":3},{"info":"⋰*⋻2786⋭≵⋰*⋻5466=⋰*⋻61","layer":3},{"info":"NaN⩦⋰*⋻61=NaN","layer":2},{"info":"⋰*⋻-9A30⩌⋺NaN=NaN","layer":1},{"info":"NaN≠≀NaN=NaN","layer":0}]}
{"id":951,"expression_no_base_symbol":"(($6939$⨑≵⋬$2186$)⩁⩘($1526$∪⫐$4060$)∝$6249$⩧⪆$2235$∝$4049$⩇∃⫛$1996$)⊋≦⊧($3554$⊍⩺⋍$1808$)⨸$5867$≴⪞⇿$9197$∓⋝($4685$⪕$1136$)⪎↠($1295$/$4019$)","expression":"((⋰*⋻5239⨑≵⋬⋰*⋻1708)⩁⩘(⋰*⋻1168∪⫐⋰*⋻3061)∝⋰*⋻4771⩧⪆⋰*⋻1752∝⋰*⋻3051⩇∃⫛⋰*⋻1555)⊋≦⊧(⋰*⋻2741⊍⩺⋍⋰*⋻13A4)⨸⋰*⋻4454≴⪞⇿⋰*⋻6A01∓⋝(⋰*⋻357A⪕⋰*⋻943)⪎↠(⋰*⋻A78/⋰*⋻3024)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6083,"operation_count":15,"complexity_ratio":405.53333333333336,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6939,"base":11},"right_expr":{"type":"numeric_atoms","value":2186,"base":11}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1526,"base":11},"right_expr":{"type":"numeric_atoms","value":4060,"base":11}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6249,"base":11},"right_expr":{"type":"numeric_atoms","value":2235,"base":11}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4049,"base":11},"right_expr":{"type":"numeric_atoms","value":1996,"base":11}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3554,"base":11},"right_expr":{"type":"numeric_atoms","value":1808,"base":11}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5867,"base":11},"right_expr":{"type":"numeric_atoms","value":9197,"base":11}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4685,"base":11},"right_expr":{"type":"numeric_atoms","value":1136,"base":11}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1295,"base":11},"right_expr":{"type":"numeric_atoms","value":4019,"base":11}}}}},"used_operators":["oRDoc9rAEX","cTDWOvIxvz","gub5Cegaqo","XnXgA4xnOs","7YooWSwCyH","Ikt5ks8PT7","1aApVXNlOP","PoHhknlbAi","KmoU8R5UQR","OXDGMFPWZM","lvlrscuwVU","3tVxb0NHM4","umQnsF7QlU","XhwjNDsVaA"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DpFCA1CohY","IWmyXbctLI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z"],"result":"⋰*⋻97","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6939","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=2186, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=20772","layer":3},{"info":"number node, value=1526","layer":4},{"info":"number node, value=4060","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=4060, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1526","layer":3},{"info":"compute binary expreesion, left_input=20772, right_input=1526, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7052","layer":2},{"info":"number node, value=6249","layer":4},{"info":"number node, value=2235","layer":4},{"info":"compute binary expreesion, left_input=6249, right_input=2235, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2235","layer":3},{"info":"number node, value=4049","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=1996, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-1580","layer":3},{"info":"compute binary expreesion, left_input=-2235, right_input=-1580, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-2230","layer":2},{"info":"compute binary expreesion, left_input=7052, right_input=-2230, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=7057","layer":1},{"info":"number node, value=3554","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=3554, right_input=1808, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=5867","layer":4},{"info":"number node, value=9197","layer":4},{"info":"compute binary expreesion, left_input=5867, right_input=9197, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=62585906","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=62585906, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"number node, value=4685","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=4685, right_input=1136, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9135","layer":3},{"info":"number node, value=1295","layer":4},{"info":"number node, value=4019","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=4019, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=9135, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=7057, right_input=67, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=106","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5239⨑≵⋬⋰*⋻1708)⩁⩘(⋰*⋻1168∪⫐⋰*⋻3061)∝⋰*⋻4771⩧⪆⋰*⋻1752∝⋰*⋻3051⩇∃⫛⋰*⋻1555)⊋≦⊧(⋰*⋻2741⊍⩺⋍⋰*⋻13A4)⨸⋰*⋻4454≴⪞⇿⋰*⋻6A01∓⋝(⋰*⋻357A⪕⋰*⋻943)⪎↠(⋰*⋻A78/⋰*⋻3024)=⋰*⋻97","reverse_text":"⋰*⋻97=((⋰*⋻5239⨑≵⋬⋰*⋻1708)⩁⩘(⋰*⋻1168∪⫐⋰*⋻3061)∝⋰*⋻4771⩧⪆⋰*⋻1752∝⋰*⋻3051⩇∃⫛⋰*⋻1555)⊋≦⊧(⋰*⋻2741⊍⩺⋍⋰*⋻13A4)⨸⋰*⋻4454≴⪞⇿⋰*⋻6A01∓⋝(⋰*⋻357A⪕⋰*⋻943)⪎↠(⋰*⋻A78/⋰*⋻3024)","cot":[{"info":"⋰*⋻5239⨑≵⋬⋰*⋻1708=⋰*⋻14674","layer":3},{"info":"⋰*⋻1168∪⫐⋰*⋻3061=⋰*⋻1168","layer":3},{"info":"⋰*⋻14674⩁⩘⋰*⋻1168=⋰*⋻5331","layer":2},{"info":"⋰*⋻4771⩧⪆⋰*⋻1752=⋰*⋻-1752","layer":3},{"info":"⋰*⋻3051⩇∃⫛⋰*⋻1555=⋰*⋻-1207","layer":3},{"info":"⋰*⋻-1752∝⋰*⋻-1207=⋰*⋻-1748","layer":2},{"info":"⋰*⋻5331∝⋰*⋻-1748=⋰*⋻5336","layer":1},{"info":"⋰*⋻2741⊍⩺⋍⋰*⋻13A4=NaN","layer":3},{"info":"⋰*⋻4454≴⪞⇿⋰*⋻6A01=⋰*⋻32367799","layer":3},{"info":"NaN⨸⋰*⋻32367799=NaN","layer":2},{"info":"⋰*⋻357A⪕⋰*⋻943=⋰*⋻6955","layer":3},{"info":"⋰*⋻A78/⋰*⋻3024=⋰*⋻0","layer":3},{"info":"⋰*⋻6955⪎↠⋰*⋻0=⋰*⋻136","layer":2},{"info":"NaN∓⋝⋰*⋻136=⋰*⋻61","layer":1},{"info":"⋰*⋻5336⊋≦⊧⋰*⋻61=⋰*⋻97","layer":0}]}
{"id":952,"expression_no_base_symbol":"⨰⫟⨤($7419$⩦$5671$⊝⪿⪼($4273$⇉⇱⇎))⨪↰⇹(($2536$⇼⇔∾$1029$)⋅⇍$2789$⪍↜⋙$8301$)","expression":"⨰⫟⨤(⋰*⋻5635⩦⋰*⋻4296⊝⪿⪼(⋰*⋻3235⇉⇱⇎))⨪↰⇹((⋰*⋻19A6⇼⇔∾⋰*⋻856)⋅⇍⋰*⋻2106⪍↜⋙⋰*⋻6267)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1053502,"operation_count":8,"complexity_ratio":131687.75,"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":7419,"base":11},"right_expr":{"type":"numeric_atoms","value":5671,"base":11}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4273,"base":11}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2536,"base":11},"right_expr":{"type":"numeric_atoms","value":1029,"base":11}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2789,"base":11},"right_expr":{"type":"numeric_atoms","value":8301,"base":11}}}}},"used_operators":["Tw270M8GLb","tmPS8pqC7x","3Oe9XWJUTD","0kmYd0q39Y","MRPaB8lBjK","AdZkA7nFnk","tifHPKVTfV","L05ObWFQCd"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rJVOvQCfKK","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7419","layer":4},{"info":"number node, value=5671","layer":4},{"info":"compute binary expreesion, left_input=7419, right_input=5671, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=14838","layer":3},{"info":"number node, value=4273","layer":4},{"info":"compute unary expreesion, input=4273, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-4055","layer":3},{"info":"compute binary expreesion, left_input=14838, right_input=-4055, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=210848","layer":2},{"info":"number node, value=2536","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=1029, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1507","layer":3},{"info":"number node, value=2789","layer":4},{"info":"number node, value=8301","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=8301, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-31330","layer":3},{"info":"compute binary expreesion, left_input=-1507, right_input=-31330, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=934","layer":2},{"info":"compute binary expreesion, left_input=210848, right_input=934, 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=210848","layer":1},{"info":"compute unary expreesion, input=210848, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⨰⫟⨤(⋰*⋻5635⩦⋰*⋻4296⊝⪿⪼(⋰*⋻3235⇉⇱⇎))⨪↰⇹((⋰*⋻19A6⇼⇔∾⋰*⋻856)⋅⇍⋰*⋻2106⪍↜⋙⋰*⋻6267)=NaN","reverse_text":"NaN=⨰⫟⨤(⋰*⋻5635⩦⋰*⋻4296⊝⪿⪼(⋰*⋻3235⇉⇱⇎))⨪↰⇹((⋰*⋻19A6⇼⇔∾⋰*⋻856)⋅⇍⋰*⋻2106⪍↜⋙⋰*⋻6267)","cot":[{"info":"⋰*⋻5635⩦⋰*⋻4296=⋰*⋻1016A","layer":3},{"info":"⋰*⋻3235⇉⇱⇎=⋰*⋻-3057","layer":3},{"info":"⋰*⋻1016A⊝⪿⪼⋰*⋻-3057=⋰*⋻134460","layer":2},{"info":"⋰*⋻19A6⇼⇔∾⋰*⋻856=⋰*⋻-1150","layer":3},{"info":"⋰*⋻2106⪍↜⋙⋰*⋻6267=⋰*⋻-215A2","layer":3},{"info":"⋰*⋻-1150⋅⇍⋰*⋻-215A2=⋰*⋻77A","layer":2},{"info":"⋰*⋻134460⨪↰⇹⋰*⋻77A=⋰*⋻134460","layer":1},{"info":"⨰⫟⨤⋰*⋻134460=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"⪁⇼(⇁⨣⪵($2007$⨵⪆$1068$)⫣⪄⊒($4027$⨔≚≋$2762$))","expression":"⪁⇼(⇁⨣⪵(⋰*⋻1565⨵⪆⋰*⋻891)⫣⪄⊒(⋰*⋻3031⨔≚≋⋰*⋻2091))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":88,"operation_count":5,"complexity_ratio":17.6,"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":2007,"base":11},"right_expr":{"type":"numeric_atoms","value":1068,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4027,"base":11},"right_expr":{"type":"numeric_atoms","value":2762,"base":11}}}}},"used_operators":["ZNVVrZ94lY","inkyxCbjAn","RabNbG55vr","2DQ55sFlQl","Z57zeUYC9z"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","B5M0gjZbta","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2007","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1068, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4027","layer":4},{"info":"number node, value=2762","layer":4},{"info":"compute binary expreesion, left_input=4027, right_input=2762, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=9872, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-59424","layer":2},{"info":"compute unary expreesion, input=-59424, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⪁⇼(⇁⨣⪵(⋰*⋻1565⨵⪆⋰*⋻891)⫣⪄⊒(⋰*⋻3031⨔≚≋⋰*⋻2091))=NaN","reverse_text":"NaN=⪁⇼(⇁⨣⪵(⋰*⋻1565⨵⪆⋰*⋻891)⫣⪄⊒(⋰*⋻3031⨔≚≋⋰*⋻2091))","cot":[{"info":"⋰*⋻1565⨵⪆⋰*⋻891=⋰*⋻136","layer":3},{"info":"⋰*⋻3031⨔≚≋⋰*⋻2091=⋰*⋻7465","layer":3},{"info":"⋰*⋻136⫣⪄⊒⋰*⋻7465=⋰*⋻-40712","layer":2},{"info":"⇁⨣⪵⋰*⋻-40712=NaN","layer":1},{"info":"⪁⇼NaN=NaN","layer":0}]}
{"id":954,"expression_no_base_symbol":"⊿($7279$⊮⊟↴$4497$⩺⋐⫨)⪔⊥(⨩∲⋌($1493$⊾⪯⋞$1606$))","expression":"⊿(⋰*⋻5518⊮⊟↴⋰*⋻3419⩺⋐⫨)⪔⊥(⨩∲⋌(⋰*⋻1138⊾⪯⋞⋰*⋻1230))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":209,"operation_count":6,"complexity_ratio":34.833333333333336,"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":7279,"base":11},"right_expr":{"type":"numeric_atoms","value":4497,"base":11}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1493,"base":11},"right_expr":{"type":"numeric_atoms","value":1606,"base":11}}}}},"used_operators":["DO4fhlbJSI","HJ9erzHUuu","yS9ePUuUdn","QDVgd2eftb","aSik1wnThz","HK0tfVPux8"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⋰*⋻-2A57","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7279","layer":4},{"info":"number node, value=4497","layer":4},{"info":"compute binary expreesion, left_input=7279, right_input=4497, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"number node, value=1493","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=1606, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2786","layer":3},{"info":"compute unary expreesion, input=2786, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3309","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3309, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=799","layer":1},{"info":"compute unary expreesion, input=799, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-3934","layer":0}],"base":11,"result_base":11,"text":"⊿(⋰*⋻5518⊮⊟↴⋰*⋻3419⩺⋐⫨)⪔⊥(⨩∲⋌(⋰*⋻1138⊾⪯⋞⋰*⋻1230))=⋰*⋻-2A57","reverse_text":"⋰*⋻-2A57=⊿(⋰*⋻5518⊮⊟↴⋰*⋻3419⩺⋐⫨)⪔⊥(⨩∲⋌(⋰*⋻1138⊾⪯⋞⋰*⋻1230))","cot":[{"info":"⋰*⋻5518⊮⊟↴⋰*⋻3419=⋰*⋻0","layer":3},{"info":"⋰*⋻0⩺⋐⫨=⋰*⋻0","layer":2},{"info":"⋰*⋻1138⊾⪯⋞⋰*⋻1230=⋰*⋻2103","layer":3},{"info":"⨩∲⋌⋰*⋻2103=⋰*⋻-2539","layer":2},{"info":"⋰*⋻0⪔⊥⋰*⋻-2539=⋰*⋻667","layer":1},{"info":"⊿⋰*⋻667=⋰*⋻-2A57","layer":0}]}
{"id":955,"expression_no_base_symbol":"(($4893$↺$2437$)⨚($4131$⫌⩹⨱))⫗⊷⫓($1982$⊱⇼⊻$1195$⊉≛↸(↥$1154$))⪝((⪫⨮⊛$2323$)⨑⩅≇($1036$⇆⨓≜)≀⩗∶($1788$⨽∌$1017$⨱∎))","expression":"((⋰*⋻3749↺⋰*⋻1916)⨚(⋰*⋻3116⫌⩹⨱))⫗⊷⫓(⋰*⋻1542⊱⇼⊻⋰*⋻997⊉≛↸(↥⋰*⋻95A))⪝((⪫⨮⊛⋰*⋻1822)⨑⩅≇(⋰*⋻862⇆⨓≜)≀⩗∶(⋰*⋻1386⨽∌⋰*⋻845⨱∎))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1486174,"operation_count":14,"complexity_ratio":106155.28571428571,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4893,"base":11},"right_expr":{"type":"numeric_atoms","value":2437,"base":11}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4131,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1982,"base":11},"right_expr":{"type":"numeric_atoms","value":1195,"base":11}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1154,"base":11}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2323,"base":11}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1036,"base":11}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1788,"base":11},"right_expr":{"type":"numeric_atoms","value":1017,"base":11}}}}},"used_operators":["wicAB68Tmb","zashukvMKz","nREPSIbpBE","7j4O788W3g","EBcxylXtPf","DZ8iAZOCBD","FyVja0WsTP","A8NUZmVepG","8INZBEW696","h92wMvzauj","w5FWba1tyO","KvvgdUaMHJ","MmTdOpaElr","9samAPKr6k"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","k8jYdgA6NY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Uaa54Peajs","KYD54nUTWz","tifHPKVTfV","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⋰*⋻-1037","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4893","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=4893, right_input=2437, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2437","layer":3},{"info":"number node, value=4131","layer":4},{"info":"compute unary expreesion, input=4131, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9663","layer":3},{"info":"compute binary expreesion, left_input=2437, right_input=9663, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-32844","layer":2},{"info":"number node, value=1982","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=1195, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=32","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=32, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-32844, right_input=868, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=2323","layer":4},{"info":"compute unary expreesion, input=2323, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"number node, value=1788","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1017, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1371","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3749↺⋰*⋻1916)⨚(⋰*⋻3116⫌⩹⨱))⫗⊷⫓(⋰*⋻1542⊱⇼⊻⋰*⋻997⊉≛↸(↥⋰*⋻95A))⪝((⪫⨮⊛⋰*⋻1822)⨑⩅≇(⋰*⋻862⇆⨓≜)≀⩗∶(⋰*⋻1386⨽∌⋰*⋻845⨱∎))=⋰*⋻-1037","reverse_text":"⋰*⋻-1037=((⋰*⋻3749↺⋰*⋻1916)⨚(⋰*⋻3116⫌⩹⨱))⫗⊷⫓(⋰*⋻1542⊱⇼⊻⋰*⋻997⊉≛↸(↥⋰*⋻95A))⪝((⪫⨮⊛⋰*⋻1822)⨑⩅≇(⋰*⋻862⇆⨓≜)≀⩗∶(⋰*⋻1386⨽∌⋰*⋻845⨱∎))","cot":[{"info":"⋰*⋻3749↺⋰*⋻1916=⋰*⋻1916","layer":3},{"info":"⋰*⋻3116⫌⩹⨱=⋰*⋻7295","layer":3},{"info":"⋰*⋻1916⨚⋰*⋻7295=⋰*⋻-22749","layer":2},{"info":"⋰*⋻1542⊱⇼⊻⋰*⋻997=⋰*⋻365","layer":3},{"info":"↥⋰*⋻95A=⋰*⋻2A","layer":3},{"info":"⋰*⋻365⊉≛↸⋰*⋻2A=⋰*⋻71A","layer":2},{"info":"⋰*⋻-22749⫗⊷⫓⋰*⋻71A=⋰*⋻-112","layer":1},{"info":"⪫⨮⊛⋰*⋻1822=NaN","layer":3},{"info":"⋰*⋻862⇆⨓≜=NaN","layer":3},{"info":"NaN⨑⩅≇NaN=⋰*⋻780","layer":2},{"info":"⋰*⋻1386⨽∌⋰*⋻845=⋰*⋻0","layer":3},{"info":"⋰*⋻0⨱∎=⋰*⋻0","layer":2},{"info":"⋰*⋻780≀⩗∶⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻-112⪝⋰*⋻0=⋰*⋻-1037","layer":0}]}
{"id":956,"expression_no_base_symbol":"(($6964$⫥∨⫟$8479$)+⪬∐(⊗$2879$)⨽(⊖∈$5535$)⇷(↡$6699$))⩧⪆((∓$4697$⇤$4385$)⪛⫼(⨵≀≌$3986$)⫥∨⫟$3692$≌$1507$)","expression":"((⋰*⋻5261⫥∨⫟⋰*⋻6409)+⪬∐(⊗⋰*⋻2188)⨽(⊖∈⋰*⋻4182)⇷(↡⋰*⋻5040))⩧⪆((∓⋰*⋻3590⇤⋰*⋻3327)⪛⫼(⨵≀≌⋰*⋻2AA4)⫥∨⫟⋰*⋻2857≌⋰*⋻1150)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1486086,"operation_count":14,"complexity_ratio":106149.0,"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":6964,"base":11},"right_expr":{"type":"numeric_atoms","value":8479,"base":11}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2879,"base":11}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5535,"base":11}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":6699,"base":11}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4697,"base":11},"right_expr":{"type":"numeric_atoms","value":4385,"base":11}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3986,"base":11}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3692,"base":11},"right_expr":{"type":"numeric_atoms","value":1507,"base":11}}}}},"used_operators":["Ikt5ks8PT7","8HhzD0ZcuI","2GS7woTJqF","KYD54nUTWz","RhiyfpczSx","mp7IySMOzn","YFxL8Sc2Zy","MXaNJeIAZ3","hyuBjUqXlG","OwUj7dcsQK","YSKBFp38Pu","srAu1WTS94","lyWz822IDG"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","g55IO6H4Gj","D4vGDi5EA2","8HhzD0ZcuI","rGHVDoGpnC","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6964","layer":4},{"info":"number node, value=8479","layer":4},{"info":"compute binary expreesion, left_input=6964, right_input=8479, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2879","layer":4},{"info":"compute unary expreesion, input=2879, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-5758","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5758, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=5535","layer":4},{"info":"compute unary expreesion, input=5535, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=105106","layer":3},{"info":"number node, value=6699","layer":4},{"info":"compute unary expreesion, input=6699, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=60291","layer":3},{"info":"compute binary expreesion, left_input=105106, right_input=60291, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=120582","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=120582, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=4697","layer":4},{"info":"number node, value=4385","layer":4},{"info":"compute binary expreesion, left_input=4697, right_input=4385, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-42562","layer":3},{"info":"compute unary expreesion, input=-42562, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=633558","layer":2},{"info":"number node, value=3986","layer":4},{"info":"compute unary expreesion, input=3986, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11958","layer":3},{"info":"number node, value=3692","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=1507, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11958, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=633558, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5261⫥∨⫟⋰*⋻6409)+⪬∐(⊗⋰*⋻2188)⨽(⊖∈⋰*⋻4182)⇷(↡⋰*⋻5040))⩧⪆((∓⋰*⋻3590⇤⋰*⋻3327)⪛⫼(⨵≀≌⋰*⋻2AA4)⫥∨⫟⋰*⋻2857≌⋰*⋻1150)=NaN","reverse_text":"NaN=((⋰*⋻5261⫥∨⫟⋰*⋻6409)+⪬∐(⊗⋰*⋻2188)⨽(⊖∈⋰*⋻4182)⇷(↡⋰*⋻5040))⩧⪆((∓⋰*⋻3590⇤⋰*⋻3327)⪛⫼(⨵≀≌⋰*⋻2AA4)⫥∨⫟⋰*⋻2857≌⋰*⋻1150)","cot":[{"info":"⋰*⋻5261⫥∨⫟⋰*⋻6409=NaN","layer":3},{"info":"⊗⋰*⋻2188=⋰*⋻-4365","layer":3},{"info":"NaN+⪬∐⋰*⋻-4365=NaN","layer":2},{"info":"⊖∈⋰*⋻4182=⋰*⋻71A71","layer":3},{"info":"↡⋰*⋻5040=⋰*⋻41330","layer":3},{"info":"⋰*⋻71A71⇷⋰*⋻41330=⋰*⋻82660","layer":2},{"info":"NaN⨽⋰*⋻82660=NaN","layer":1},{"info":"⋰*⋻3590⇤⋰*⋻3327=⋰*⋻-29A83","layer":3},{"info":"∓⋰*⋻-29A83=⋰*⋻3A3002","layer":2},{"info":"⨵≀≌⋰*⋻2AA4=⋰*⋻-8A91","layer":3},{"info":"⋰*⋻2857≌⋰*⋻1150=NaN","layer":3},{"info":"⋰*⋻-8A91⫥∨⫟NaN=NaN","layer":2},{"info":"⋰*⋻3A3002⪛⫼NaN=NaN","layer":1},{"info":"NaN⩧⪆NaN=NaN","layer":0}]}
{"id":957,"expression_no_base_symbol":"((⪲⇎$4514$)⫚↹⊑($4182$⨘⋶⪀))⊝⪿⪼(($2175$⊎←↗)⫸⇳$1899$∺≝⩲$3245$)⨎((↓⇌$2274$)⩘($1570$⪶≀⋏$5091$))⪃⊛⇣($2362$↞⋁$4372$⪔$2208$≹⇙⪍$5054$)","expression":"((⪲⇎⋰*⋻3434)⫚↹⊑(⋰*⋻3162⨘⋶⪀))⊝⪿⪼((⋰*⋻16A8⊎←↗)⫸⇳⋰*⋻1477∺≝⩲⋰*⋻2490)⨎((↓⇌⋰*⋻1788)⩘(⋰*⋻11A8⪶≀⋏⋰*⋻3909))⪃⊛⇣(⋰*⋻1858↞⋁⋰*⋻3315⪔⋰*⋻1728≹⇙⪍⋰*⋻3885)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":26673,"operation_count":15,"complexity_ratio":1778.2,"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":4514,"base":11}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":4182,"base":11}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":2175,"base":11}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1899,"base":11},"right_expr":{"type":"numeric_atoms","value":3245,"base":11}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2274,"base":11}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1570,"base":11},"right_expr":{"type":"numeric_atoms","value":5091,"base":11}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2362,"base":11},"right_expr":{"type":"numeric_atoms","value":4372,"base":11}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2208,"base":11},"right_expr":{"type":"numeric_atoms","value":5054,"base":11}}}}},"used_operators":["rJVOvQCfKK","3Oe9XWJUTD","dfKe02y8D2","XPYlsWDdGa","XVKwrhznBb","gx7XJ7hdpj","dwb5p0fa6d","KPf6cnQVty","rrgAzCduG9","cHh1gJQ2o6","PxpmPgHHJV","zR4jO40bMj","GjBEYRfMaF","RqrPlJkxDo","AHs5Up7iyr"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","dWAJyo7jo9"],"result":"⋰*⋻A22","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4514","layer":4},{"info":"compute unary expreesion, input=4514, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9028","layer":3},{"info":"number node, value=4182","layer":4},{"info":"compute unary expreesion, input=4182, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9028, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2175","layer":4},{"info":"compute unary expreesion, input=2175, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-3665","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=3245","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=3245, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-3665, right_input=160, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=3227","layer":1},{"info":"number node, value=2274","layer":4},{"info":"compute unary expreesion, input=2274, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2274","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=5091","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=5091, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15124","layer":3},{"info":"compute binary expreesion, left_input=2274, right_input=-15124, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=2362","layer":4},{"info":"number node, value=4372","layer":4},{"info":"compute binary expreesion, left_input=2362, right_input=4372, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=5054","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=5054, 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 = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=3227, right_input=1234, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1234","layer":0}],"base":11,"result_base":11,"text":"((⪲⇎⋰*⋻3434)⫚↹⊑(⋰*⋻3162⨘⋶⪀))⊝⪿⪼((⋰*⋻16A8⊎←↗)⫸⇳⋰*⋻1477∺≝⩲⋰*⋻2490)⨎((↓⇌⋰*⋻1788)⩘(⋰*⋻11A8⪶≀⋏⋰*⋻3909))⪃⊛⇣(⋰*⋻1858↞⋁⋰*⋻3315⪔⋰*⋻1728≹⇙⪍⋰*⋻3885)=⋰*⋻A22","reverse_text":"⋰*⋻A22=((⪲⇎⋰*⋻3434)⫚↹⊑(⋰*⋻3162⨘⋶⪀))⊝⪿⪼((⋰*⋻16A8⊎←↗)⫸⇳⋰*⋻1477∺≝⩲⋰*⋻2490)⨎((↓⇌⋰*⋻1788)⩘(⋰*⋻11A8⪶≀⋏⋰*⋻3909))⪃⊛⇣(⋰*⋻1858↞⋁⋰*⋻3315⪔⋰*⋻1728≹⇙⪍⋰*⋻3885)","cot":[{"info":"⪲⇎⋰*⋻3434=⋰*⋻6868","layer":3},{"info":"⋰*⋻3162⨘⋶⪀=NaN","layer":3},{"info":"⋰*⋻6868⫚↹⊑NaN=⋰*⋻-377","layer":2},{"info":"⋰*⋻16A8⊎←↗=⋰*⋻-2832","layer":3},{"info":"⋰*⋻1477∺≝⩲⋰*⋻2490=⋰*⋻136","layer":3},{"info":"⋰*⋻-2832⫸⇳⋰*⋻136=⋰*⋻0","layer":2},{"info":"⋰*⋻-377⊝⪿⪼⋰*⋻0=⋰*⋻2474","layer":1},{"info":"↓⇌⋰*⋻1788=⋰*⋻1788","layer":3},{"info":"⋰*⋻11A8⪶≀⋏⋰*⋻3909=⋰*⋻-103AA","layer":3},{"info":"⋰*⋻1788⩘⋰*⋻-103AA=⋰*⋻136","layer":2},{"info":"⋰*⋻1858↞⋁⋰*⋻3315=NaN","layer":3},{"info":"⋰*⋻1728≹⇙⪍⋰*⋻3885=NaN","layer":3},{"info":"NaN⪔NaN=NaN","layer":2},{"info":"⋰*⋻136⪃⊛⇣NaN=⋰*⋻A22","layer":1},{"info":"⋰*⋻2474⨎⋰*⋻A22=⋰*⋻A22","layer":0}]}
{"id":958,"expression_no_base_symbol":"(($1416$⫻⋑⊟)⪚($4140$≳⇉$1674$))⊕∕((↡$3127$)⨚⇆$1720$⨐$1909$)⩒⫫(⇁⨣⪵(⫛⫱⨽(⩦⊞$2169$)))","expression":"((⋰*⋻1078⫻⋑⊟)⪚(⋰*⋻3124≳⇉⋰*⋻1292))⊕∕((↡⋰*⋻2393)⨚⇆⋰*⋻1324⨐⋰*⋻1486)⩒⫫(⇁⨣⪵(⫛⫱⨽(⩦⊞⋰*⋻16A2)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42075410,"operation_count":11,"complexity_ratio":3825037.272727273,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1416,"base":11}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4140,"base":11},"right_expr":{"type":"numeric_atoms","value":1674,"base":11}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3127,"base":11}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1720,"base":11},"right_expr":{"type":"numeric_atoms","value":1909,"base":11}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2169,"base":11}}}}},"used_operators":["KFSx94NKJn","9cloC0Ngie","HrjLwUk87U","o575Zjdmzy","V0kx6qeWkN","lwHaAYXP2r","MXaNJeIAZ3","Noe24qw2ks","inkyxCbjAn","DlLNRPXxWL","u7fv1HBiaC"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","rGHVDoGpnC","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⋰*⋻2671","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2322","layer":3},{"info":"number node, value=4140","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=4140, right_input=1674, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2322, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3768","layer":2},{"info":"number node, value=3127","layer":4},{"info":"compute unary expreesion, input=3127, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=28143","layer":3},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1909, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3440","layer":3},{"info":"compute binary expreesion, left_input=28143, right_input=-3440, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3768, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3768","layer":1},{"info":"number node, value=2169","layer":4},{"info":"compute unary expreesion, input=2169, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1896","layer":3},{"info":"compute unary expreesion, input=-1896, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3768, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3466","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1078⫻⋑⊟)⪚(⋰*⋻3124≳⇉⋰*⋻1292))⊕∕((↡⋰*⋻2393)⨚⇆⋰*⋻1324⨐⋰*⋻1486)⩒⫫(⇁⨣⪵(⫛⫱⨽(⩦⊞⋰*⋻16A2)))=⋰*⋻2671","reverse_text":"⋰*⋻2671=((⋰*⋻1078⫻⋑⊟)⪚(⋰*⋻3124≳⇉⋰*⋻1292))⊕∕((↡⋰*⋻2393)⨚⇆⋰*⋻1324⨐⋰*⋻1486)⩒⫫(⇁⨣⪵(⫛⫱⨽(⩦⊞⋰*⋻16A2)))","cot":[{"info":"⋰*⋻1078⫻⋑⊟=⋰*⋻-1821","layer":3},{"info":"⋰*⋻3124≳⇉⋰*⋻1292=NaN","layer":3},{"info":"⋰*⋻-1821⪚NaN=⋰*⋻2916","layer":2},{"info":"↡⋰*⋻2393=⋰*⋻1A165","layer":3},{"info":"⋰*⋻1324⨐⋰*⋻1486=⋰*⋻-2648","layer":3},{"info":"⋰*⋻1A165⨚⇆⋰*⋻-2648=NaN","layer":2},{"info":"⋰*⋻2916⊕∕NaN=⋰*⋻2916","layer":1},{"info":"⩦⊞⋰*⋻16A2=⋰*⋻-1474","layer":3},{"info":"⫛⫱⨽⋰*⋻-1474=⋰*⋻0","layer":2},{"info":"⇁⨣⪵⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻2916⩒⫫⋰*⋻0=⋰*⋻2671","layer":0}]}
{"id":959,"expression_no_base_symbol":"(≋($1981$∥⊢⊲$4375$⫭))⩼⇪↪(($3368$⪡$5154$⋅⇍$7315$≬⇓$7252$)⨐⩸⫘($1144$⨚⇆$3112$)⊲⩕⊾($3458$∲⫓$3578$))","expression":"(≋(⋰*⋻1541∥⊢⊲⋰*⋻3318⫭))⩼⇪↪((⋰*⋻2592⪡⋰*⋻3966⋅⇍⋰*⋻5550≬⇓⋰*⋻54A3)⨐⩸⫘(⋰*⋻950⨚⇆⋰*⋻237A)⊲⩕⊾(⋰*⋻2664∲⫓⋰*⋻2763))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8125,"operation_count":11,"complexity_ratio":738.6363636363636,"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":11},"right_expr":{"type":"numeric_atoms","value":4375,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3368,"base":11},"right_expr":{"type":"numeric_atoms","value":5154,"base":11}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":7315,"base":11},"right_expr":{"type":"numeric_atoms","value":7252,"base":11}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1144,"base":11},"right_expr":{"type":"numeric_atoms","value":3112,"base":11}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3458,"base":11},"right_expr":{"type":"numeric_atoms","value":3578,"base":11}}}}},"used_operators":["ocnLzx9CaJ","61wBmkZwlr","t4WUHVGj7f","v1UQAVDJRr","fu6greOZ01","AdZkA7nFnk","oraRL2iQuh","jWTQ2TZYIH","DmTXOeWf9t","lwHaAYXP2r","i8ToyICDmI"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","7j4O788W3g","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC","3ViojmjbAp","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":11,"flag":false},"cot_info":[{"info":"number node, value=1981","layer":4},{"info":"number node, value=4375","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=4375, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":1},{"info":"number node, value=3368","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=5154, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=7315","layer":4},{"info":"number node, value=7252","layer":4},{"info":"compute binary expreesion, left_input=7315, right_input=7252, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-22, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=1144","layer":4},{"info":"number node, value=3112","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=3112, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3458","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=3458, right_input=3578, 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 = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, 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 = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(≋(⋰*⋻1541∥⊢⊲⋰*⋻3318⫭))⩼⇪↪((⋰*⋻2592⪡⋰*⋻3966⋅⇍⋰*⋻5550≬⇓⋰*⋻54A3)⨐⩸⫘(⋰*⋻950⨚⇆⋰*⋻237A)⊲⩕⊾(⋰*⋻2664∲⫓⋰*⋻2763))=NaN","reverse_text":"NaN=(≋(⋰*⋻1541∥⊢⊲⋰*⋻3318⫭))⩼⇪↪((⋰*⋻2592⪡⋰*⋻3966⋅⇍⋰*⋻5550≬⇓⋰*⋻54A3)⨐⩸⫘(⋰*⋻950⨚⇆⋰*⋻237A)⊲⩕⊾(⋰*⋻2664∲⫓⋰*⋻2763))","cot":[{"info":"⋰*⋻1541∥⊢⊲⋰*⋻3318=NaN","layer":3},{"info":"NaN⫭=NaN","layer":2},{"info":"≋NaN=NaN","layer":1},{"info":"⋰*⋻2592⪡⋰*⋻3966=⋰*⋻98","layer":3},{"info":"⋰*⋻5550≬⇓⋰*⋻54A3=⋰*⋻-20","layer":3},{"info":"⋰*⋻98⋅⇍⋰*⋻-20=⋰*⋻-20","layer":2},{"info":"⋰*⋻950⨚⇆⋰*⋻237A=NaN","layer":3},{"info":"⋰*⋻2664∲⫓⋰*⋻2763=⋰*⋻0","layer":3},{"info":"NaN⊲⩕⊾⋰*⋻0=NaN","layer":2},{"info":"⋰*⋻-20⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⩼⇪↪NaN=NaN","layer":0}]}
{"id":960,"expression_no_base_symbol":"((⩷($2235$⋣⋖$1397$))≧⫂∧($4563$⊾⪯⋞$7122$↱($3452$⨑≵⋬$2591$)))⫉⨲⊜(($1041$⊨$4042$≬⇓($3832$⋷$1069$))⫉⨲⊜((⇘$3241$)⩭))","expression":"((⩷(⋰*⋻1752⋣⋖⋰*⋻1060))≧⫂∧(⋰*⋻3479⊾⪯⋞⋰*⋻5395↱(⋰*⋻2659⨑≵⋬⋰*⋻1A46)))⫉⨲⊜((⋰*⋻867⊨⋰*⋻3045≬⇓(⋰*⋻2974⋷⋰*⋻892))⫉⨲⊜((⇘⋰*⋻2487)⩭))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1013989,"operation_count":13,"complexity_ratio":77999.15384615384,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2235,"base":11},"right_expr":{"type":"numeric_atoms","value":1397,"base":11}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4563,"base":11},"right_expr":{"type":"numeric_atoms","value":7122,"base":11}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3452,"base":11},"right_expr":{"type":"numeric_atoms","value":2591,"base":11}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1041,"base":11},"right_expr":{"type":"numeric_atoms","value":4042,"base":11}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3832,"base":11},"right_expr":{"type":"numeric_atoms","value":1069,"base":11}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3241,"base":11}}}}},"used_operators":["WhqkvtTD3t","Ph9nP6C5qx","1h0rLqGiFr","J0M6qkBnIM","SR5kFfdi6N","HK0tfVPux8","XnXgA4xnOs","jWTQ2TZYIH","vg4gO5BX6G","23Mk6UjR3U","yIPP7u6H5x","MGuIdZPyUC"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"Inf","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2235","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=1397, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2235","layer":3},{"info":"compute unary expreesion, input=2235, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-26899","layer":2},{"info":"number node, value=4563","layer":4},{"info":"number node, value=7122","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=7122, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=13818","layer":3},{"info":"number node, value=3452","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=2591, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=502","layer":3},{"info":"compute binary expreesion, left_input=13818, right_input=502, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-984","layer":2},{"info":"compute binary expreesion, left_input=-26899, right_input=-984, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-25915","layer":1},{"info":"number node, value=1041","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=4042, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5195","layer":3},{"info":"number node, value=3832","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=3832, right_input=1069, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1694","layer":3},{"info":"compute binary expreesion, left_input=5195, right_input=-1694, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-5768","layer":2},{"info":"number node, value=3241","layer":4},{"info":"compute unary expreesion, input=3241, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=188842","layer":3},{"info":"compute unary expreesion, input=188842, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5768, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=333367750","layer":1},{"info":"compute binary expreesion, left_input=-25915, right_input=333367750, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=inf","layer":0}],"base":11,"result_base":11,"text":"((⩷(⋰*⋻1752⋣⋖⋰*⋻1060))≧⫂∧(⋰*⋻3479⊾⪯⋞⋰*⋻5395↱(⋰*⋻2659⨑≵⋬⋰*⋻1A46)))⫉⨲⊜((⋰*⋻867⊨⋰*⋻3045≬⇓(⋰*⋻2974⋷⋰*⋻892))⫉⨲⊜((⇘⋰*⋻2487)⩭))=Inf","reverse_text":"Inf=((⩷(⋰*⋻1752⋣⋖⋰*⋻1060))≧⫂∧(⋰*⋻3479⊾⪯⋞⋰*⋻5395↱(⋰*⋻2659⨑≵⋬⋰*⋻1A46)))⫉⨲⊜((⋰*⋻867⊨⋰*⋻3045≬⇓(⋰*⋻2974⋷⋰*⋻892))⫉⨲⊜((⇘⋰*⋻2487)⩭))","cot":[{"info":"⋰*⋻1752⋣⋖⋰*⋻1060=⋰*⋻1752","layer":3},{"info":"⩷⋰*⋻1752=⋰*⋻-19234","layer":2},{"info":"⋰*⋻3479⊾⪯⋞⋰*⋻5395=⋰*⋻A422","layer":3},{"info":"⋰*⋻2659⨑≵⋬⋰*⋻1A46=⋰*⋻417","layer":3},{"info":"⋰*⋻A422↱⋰*⋻417=⋰*⋻-815","layer":2},{"info":"⋰*⋻-19234≧⫂∧⋰*⋻-815=⋰*⋻-1851A","layer":1},{"info":"⋰*⋻867⊨⋰*⋻3045=⋰*⋻39A3","layer":3},{"info":"⋰*⋻2974⋷⋰*⋻892=⋰*⋻-1300","layer":3},{"info":"⋰*⋻39A3≬⇓⋰*⋻-1300=⋰*⋻-4374","layer":2},{"info":"⇘⋰*⋻2487=⋰*⋻119975","layer":3},{"info":"⋰*⋻119975⩭=NaN","layer":2},{"info":"⋰*⋻-4374⫉⨲⊜NaN=⋰*⋻1611A5141","layer":1},{"info":"⋰*⋻-1851A⫉⨲⊜⋰*⋻1611A5141=Inf","layer":0}]}
{"id":961,"expression_no_base_symbol":"((⩷⨜⫀$1404$)⩺⪪$5221$⪬$1005$∙∹∝($5135$⪚⩙≫)∌($3394$⪇≇⋚$1901$))⪝((≔($7069$⫔⩽⩺$1527$))⨐⩸⫘$3411$≨$3199$⩚⊴⇥(↸⊣$3363$))","expression":"((⩷⨜⫀⋰*⋻1067)⩺⪪⋰*⋻3A17⪬⋰*⋻834∙∹∝(⋰*⋻3949⪚⩙≫)∌(⋰*⋻2606⪇≇⋚⋰*⋻1479))⪝((≔(⋰*⋻5347⫔⩽⩺⋰*⋻1169))⨐⩸⫘⋰*⋻2621≨⋰*⋻2449⩚⊴⇥(↸⊣⋰*⋻2588))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1301,"operation_count":14,"complexity_ratio":92.92857142857143,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1404,"base":11}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5221,"base":11},"right_expr":{"type":"numeric_atoms","value":1005,"base":11}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":5135,"base":11}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3394,"base":11},"right_expr":{"type":"numeric_atoms","value":1901,"base":11}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7069,"base":11},"right_expr":{"type":"numeric_atoms","value":1527,"base":11}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3411,"base":11},"right_expr":{"type":"numeric_atoms","value":3199,"base":11}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3363,"base":11}}}}},"used_operators":["wicAB68Tmb","HmxsFra2vL","uvdQJvN4PV","CDi0ktkjQ4","Ez1Nq5fNfI","8cLx32lpNA","4n53wtyJvv","3sJ7IOPOlU","fu6greOZ01","8FLs4eVsLt","i9eR4S00cU","NTOWxs364D","0KMCeP1Jsh","wztAlM01eG"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","ruOEQAzv1W","nhYeJWJD5X","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","3ViojmjbAp","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1404","layer":4},{"info":"compute unary expreesion, input=1404, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1131","layer":3},{"info":"number node, value=5221","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=5221, right_input=1005, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1131, right_input=1234, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=5135","layer":4},{"info":"compute unary expreesion, input=5135, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"number node, value=3394","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=3394, right_input=1901, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=7069","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=7069, right_input=1527, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":2},{"info":"number node, value=3411","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=3411, right_input=3199, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-31634","layer":3},{"info":"number node, value=3363","layer":4},{"info":"compute unary expreesion, input=3363, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3076","layer":3},{"info":"compute binary expreesion, left_input=-31634, right_input=-3076, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=34589","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=34589, 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 = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⩷⨜⫀⋰*⋻1067)⩺⪪⋰*⋻3A17⪬⋰*⋻834∙∹∝(⋰*⋻3949⪚⩙≫)∌(⋰*⋻2606⪇≇⋚⋰*⋻1479))⪝((≔(⋰*⋻5347⫔⩽⩺⋰*⋻1169))⨐⩸⫘⋰*⋻2621≨⋰*⋻2449⩚⊴⇥(↸⊣⋰*⋻2588))=NaN","reverse_text":"NaN=((⩷⨜⫀⋰*⋻1067)⩺⪪⋰*⋻3A17⪬⋰*⋻834∙∹∝(⋰*⋻3949⪚⩙≫)∌(⋰*⋻2606⪇≇⋚⋰*⋻1479))⪝((≔(⋰*⋻5347⫔⩽⩺⋰*⋻1169))⨐⩸⫘⋰*⋻2621≨⋰*⋻2449⩚⊴⇥(↸⊣⋰*⋻2588))","cot":[{"info":"⩷⨜⫀⋰*⋻1067=⋰*⋻-939","layer":3},{"info":"⋰*⋻3A17⪬⋰*⋻834=⋰*⋻A22","layer":3},{"info":"⋰*⋻-939⩺⪪⋰*⋻A22=⋰*⋻-1403","layer":2},{"info":"⋰*⋻3949⪚⩙≫=NaN","layer":3},{"info":"⋰*⋻2606⪇≇⋚⋰*⋻1479=⋰*⋻0","layer":3},{"info":"NaN∌⋰*⋻0=⋰*⋻0","layer":2},{"info":"⋰*⋻-1403∙∹∝⋰*⋻0=⋰*⋻0","layer":1},{"info":"⋰*⋻5347⫔⩽⩺⋰*⋻1169=NaN","layer":3},{"info":"≔NaN=NaN","layer":2},{"info":"⋰*⋻2621≨⋰*⋻2449=⋰*⋻-21849","layer":3},{"info":"↸⊣⋰*⋻2588=⋰*⋻-2347","layer":3},{"info":"⋰*⋻-21849⩚⊴⇥⋰*⋻-2347=⋰*⋻23A95","layer":2},{"info":"NaN⨐⩸⫘⋰*⋻23A95=NaN","layer":1},{"info":"⋰*⋻0⪝NaN=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"(⊵⊁($1592$↡⊰⫅$1141$))⪮%⊝(($3506$⩚⊴⇥$3369$)⊝⪿⪼($4877$⩢≌))⇷($4042$⩁⩘$5462$)⋕⪉⪜($1260$⇤$2996$)↼⊘⨖(($3687$⩉⊫⨁)↑)","expression":"(⊵⊁(⋰*⋻1218↡⊰⫅⋰*⋻948))⪮%⊝((⋰*⋻26A8⩚⊴⇥⋰*⋻2593)⊝⪿⪼(⋰*⋻3734⩢≌))⇷(⋰*⋻3045⩁⩘⋰*⋻4116)⋕⪉⪜(⋰*⋻A46⇤⋰*⋻2284)↼⊘⨖((⋰*⋻2852⩉⊫⨁)↑)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":374210,"operation_count":13,"complexity_ratio":28785.384615384617,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1592,"base":11},"right_expr":{"type":"numeric_atoms","value":1141,"base":11}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3506,"base":11},"right_expr":{"type":"numeric_atoms","value":3369,"base":11}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":4877,"base":11}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4042,"base":11},"right_expr":{"type":"numeric_atoms","value":5462,"base":11}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1260,"base":11},"right_expr":{"type":"numeric_atoms","value":2996,"base":11}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":3687,"base":11}}}}},"used_operators":["mp7IySMOzn","IWmyXbctLI","AvED76WdY7","VCtxkLNOzz","3Oe9XWJUTD","NTOWxs364D","D617RFjZIq","bPywburJMS","z6LnFrNh4i","gub5Cegaqo","YSKBFp38Pu","BThhyOhh10","7qqUquhhSb"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","uBihLCJcMX","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","hTbEZDJLEm","o20kRiQErp","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","7j4O788W3g"],"result":"⋰*⋻374","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1592","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=1141, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2282","layer":3},{"info":"compute unary expreesion, input=2282, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=12622","layer":2},{"info":"number node, value=3506","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=3506, right_input=3369, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6996","layer":3},{"info":"number node, value=4877","layer":4},{"info":"compute unary expreesion, input=4877, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-6996, right_input=113, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-95008","layer":2},{"info":"compute binary expreesion, left_input=12622, right_input=-95008, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=25560","layer":1},{"info":"number node, value=4042","layer":4},{"info":"number node, value=5462","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=5462, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=22796","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2996, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-18432","layer":3},{"info":"compute binary expreesion, left_input=22796, right_input=-18432, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=3687","layer":4},{"info":"compute unary expreesion, input=3687, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=3687","layer":3},{"info":"compute unary expreesion, input=3687, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=222, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=222","layer":1},{"info":"compute binary expreesion, left_input=25560, right_input=222, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=444","layer":0}],"base":11,"result_base":11,"text":"(⊵⊁(⋰*⋻1218↡⊰⫅⋰*⋻948))⪮%⊝((⋰*⋻26A8⩚⊴⇥⋰*⋻2593)⊝⪿⪼(⋰*⋻3734⩢≌))⇷(⋰*⋻3045⩁⩘⋰*⋻4116)⋕⪉⪜(⋰*⋻A46⇤⋰*⋻2284)↼⊘⨖((⋰*⋻2852⩉⊫⨁)↑)=⋰*⋻374","reverse_text":"⋰*⋻374=(⊵⊁(⋰*⋻1218↡⊰⫅⋰*⋻948))⪮%⊝((⋰*⋻26A8⩚⊴⇥⋰*⋻2593)⊝⪿⪼(⋰*⋻3734⩢≌))⇷(⋰*⋻3045⩁⩘⋰*⋻4116)⋕⪉⪜(⋰*⋻A46⇤⋰*⋻2284)↼⊘⨖((⋰*⋻2852⩉⊫⨁)↑)","cot":[{"info":"⋰*⋻1218↡⊰⫅⋰*⋻948=⋰*⋻1795","layer":3},{"info":"⊵⊁⋰*⋻1795=⋰*⋻9535","layer":2},{"info":"⋰*⋻26A8⩚⊴⇥⋰*⋻2593=⋰*⋻-5290","layer":3},{"info":"⋰*⋻3734⩢≌=⋰*⋻A3","layer":3},{"info":"⋰*⋻-5290⊝⪿⪼⋰*⋻A3=⋰*⋻-65421","layer":2},{"info":"⋰*⋻9535⪮%⊝⋰*⋻-65421=⋰*⋻18227","layer":1},{"info":"⋰*⋻3045⩁⩘⋰*⋻4116=⋰*⋻16144","layer":3},{"info":"⋰*⋻A46⇤⋰*⋻2284=⋰*⋻-12937","layer":3},{"info":"⋰*⋻16144⋕⪉⪜⋰*⋻-12937=⋰*⋻2118","layer":2},{"info":"⋰*⋻2852⩉⊫⨁=⋰*⋻2852","layer":3},{"info":"⋰*⋻2852↑=⋰*⋻192","layer":2},{"info":"⋰*⋻2118↼⊘⨖⋰*⋻192=⋰*⋻192","layer":1},{"info":"⋰*⋻18227⇷⋰*⋻192=⋰*⋻374","layer":0}]}
{"id":963,"expression_no_base_symbol":"(((⩏⊷≩$5814$)↡⊰⫅($6537$⊴⇁⪶))⪊≅)⪇≇⋚(⨮↦↱(⊆⋠($4171$⩚⊴⇥$1180$)))","expression":"(((⩏⊷≩⋰*⋻4406)↡⊰⫅(⋰*⋻4A03⊴⇁⪶))⪊≅)⪇≇⋚(⨮↦↱(⊆⋠(⋰*⋻3152⩚⊴⇥⋰*⋻983)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1916280,"operation_count":8,"complexity_ratio":239535.0,"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":5814,"base":11}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":6537,"base":11}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4171,"base":11},"right_expr":{"type":"numeric_atoms","value":1180,"base":11}}}}},"used_operators":["3sJ7IOPOlU","bjFbhXSADs","VCtxkLNOzz","uOZ1tnYMDE","oo9mF6JIpo","sYcpBQ0cFf","EBhcHTkKd8","NTOWxs364D"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","23Mk6UjR3U","12rbrZMWeM","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5814","layer":4},{"info":"compute unary expreesion, input=5814, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=11327","layer":3},{"info":"number node, value=6537","layer":4},{"info":"compute unary expreesion, input=6537, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=136136","layer":3},{"info":"compute binary expreesion, left_input=11327, right_input=136136, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=272272","layer":2},{"info":"compute unary expreesion, input=272272, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":1},{"info":"number node, value=4171","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=1180, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5472","layer":3},{"info":"compute unary expreesion, input=-5472, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-36478431","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-36478431, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":11,"result_base":11,"text":"(((⩏⊷≩⋰*⋻4406)↡⊰⫅(⋰*⋻4A03⊴⇁⪶))⪊≅)⪇≇⋚(⨮↦↱(⊆⋠(⋰*⋻3152⩚⊴⇥⋰*⋻983)))=⋰*⋻0","reverse_text":"⋰*⋻0=(((⩏⊷≩⋰*⋻4406)↡⊰⫅(⋰*⋻4A03⊴⇁⪶))⪊≅)⪇≇⋚(⨮↦↱(⊆⋠(⋰*⋻3152⩚⊴⇥⋰*⋻983)))","cot":[{"info":"⩏⊷≩⋰*⋻4406=⋰*⋻8568","layer":3},{"info":"⋰*⋻4A03⊴⇁⪶=⋰*⋻93310","layer":3},{"info":"⋰*⋻8568↡⊰⫅⋰*⋻93310=⋰*⋻176620","layer":2},{"info":"⋰*⋻176620⪊≅=⋰*⋻0","layer":1},{"info":"⋰*⋻3152⩚⊴⇥⋰*⋻983=⋰*⋻-4125","layer":3},{"info":"⊆⋠⋰*⋻-4125=⋰*⋻2A98","layer":2},{"info":"⨮↦↱⋰*⋻2A98=⋰*⋻-19655870","layer":1},{"info":"⋰*⋻0⪇≇⋚⋰*⋻-19655870=⋰*⋻0","layer":0}]}
{"id":964,"expression_no_base_symbol":"($1408$↤⩊$2943$⪘⫢($3632$⇽⩪))⩇∃⫛$1987$⪝$5310$≀⫉(⨩∲⋌$3533$)∖(↔$3960$)⩒⫫($2061$⇴∐$2129$)+⇶⊼($5636$⪶≀⋏$3407$⊭∹↮)","expression":"(⋰*⋻1070↤⩊⋰*⋻2236⪘⫢(⋰*⋻2802⇽⩪))⩇∃⫛⋰*⋻1547⪝⋰*⋻3A98≀⫉(⨩∲⋌⋰*⋻2722)∖(↔⋰*⋻2A80)⩒⫫(⋰*⋻1604⇴∐⋰*⋻1666)+⇶⊼(⋰*⋻4264⪶≀⋏⋰*⋻2618⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1024,"operation_count":14,"complexity_ratio":73.14285714285714,"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":1408,"base":11},"right_expr":{"type":"numeric_atoms","value":2943,"base":11}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":3632,"base":11}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1987,"base":11},"right_expr":{"type":"numeric_atoms","value":5310,"base":11}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":3533,"base":11}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3960,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2061,"base":11},"right_expr":{"type":"numeric_atoms","value":2129,"base":11}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5636,"base":11},"right_expr":{"type":"numeric_atoms","value":3407,"base":11}}}}},"used_operators":["tXD093vOjl","1aApVXNlOP","oacrs7FA3X","13rbtpv6ld","FonBHBYJbU","oZj3VtZNQx","wicAB68Tmb","aSik1wnThz","TpPTUOHfaN","KFSx94NKJn","ruOEQAzv1W","HnzytWxmAO","xNBdhnnwKq","zR4jO40bMj"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","AHs5Up7iyr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1408","layer":4},{"info":"number node, value=2943","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=2943, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3632","layer":4},{"info":"compute unary expreesion, input=3632, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=7786","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7786, 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=1987","layer":4},{"info":"number node, value=5310","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=5310, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=3533","layer":4},{"info":"compute unary expreesion, input=3533, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4056","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=-4056, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"number node, value=3960","layer":4},{"info":"compute unary expreesion, input=3960, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3687","layer":3},{"info":"number node, value=2061","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=2129, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3687, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"number node, value=5636","layer":4},{"info":"number node, value=3407","layer":4},{"info":"compute binary expreesion, left_input=5636, right_input=3407, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-23954","layer":3},{"info":"compute unary expreesion, input=-23954, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-23954","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-23954, 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 = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1070↤⩊⋰*⋻2236⪘⫢(⋰*⋻2802⇽⩪))⩇∃⫛⋰*⋻1547⪝⋰*⋻3A98≀⫉(⨩∲⋌⋰*⋻2722)∖(↔⋰*⋻2A80)⩒⫫(⋰*⋻1604⇴∐⋰*⋻1666)+⇶⊼(⋰*⋻4264⪶≀⋏⋰*⋻2618⊭∹↮)=⋰*⋻0","reverse_text":"⋰*⋻0=(⋰*⋻1070↤⩊⋰*⋻2236⪘⫢(⋰*⋻2802⇽⩪))⩇∃⫛⋰*⋻1547⪝⋰*⋻3A98≀⫉(⨩∲⋌⋰*⋻2722)∖(↔⋰*⋻2A80)⩒⫫(⋰*⋻1604⇴∐⋰*⋻1666)+⇶⊼(⋰*⋻4264⪶≀⋏⋰*⋻2618⊭∹↮)","cot":[{"info":"⋰*⋻1070↤⩊⋰*⋻2236=NaN","layer":3},{"info":"⋰*⋻2802⇽⩪=⋰*⋻5939","layer":3},{"info":"NaN⪘⫢⋰*⋻5939=NaN","layer":2},{"info":"⋰*⋻1547⪝⋰*⋻3A98=⋰*⋻1A6","layer":3},{"info":"⨩∲⋌⋰*⋻2722=⋰*⋻-3058","layer":3},{"info":"⋰*⋻1A6≀⫉⋰*⋻-3058=⋰*⋻2136","layer":2},{"info":"NaN⩇∃⫛⋰*⋻2136=NaN","layer":1},{"info":"↔⋰*⋻2A80=⋰*⋻-2852","layer":3},{"info":"⋰*⋻1604⇴∐⋰*⋻1666=NaN","layer":3},{"info":"⋰*⋻-2852⩒⫫NaN=⋰*⋻136","layer":2},{"info":"⋰*⋻4264⪶≀⋏⋰*⋻2618=⋰*⋻-16AA7","layer":3},{"info":"⋰*⋻-16AA7⊭∹↮=⋰*⋻-16AA7","layer":2},{"info":"⋰*⋻136+⇶⊼⋰*⋻-16AA7=NaN","layer":1},{"info":"NaN∖NaN=⋰*⋻0","layer":0}]}
{"id":965,"expression_no_base_symbol":"(⇋↷((⊆⋠$5568$)⇯⋐))⩁⩘($2129$≧⫂∧$1923$≃$1685$⫣⪄⊒$3718$↺(⪫⨮⊛$2995$)≠≀$2186$⪪$4291$)","expression":"(⇋↷((⊆⋠⋰*⋻4202)⇯⋐))⩁⩘(⋰*⋻1666≧⫂∧⋰*⋻1499≃⋰*⋻12A2⫣⪄⊒⋰*⋻2880↺(⪫⨮⊛⋰*⋻2283)≠≀⋰*⋻1708⪪⋰*⋻3251)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1813226,"operation_count":11,"complexity_ratio":164838.72727272726,"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":5568,"base":11}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2129,"base":11},"right_expr":{"type":"numeric_atoms","value":1923,"base":11}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1685,"base":11},"right_expr":{"type":"numeric_atoms","value":3718,"base":11}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2995,"base":11}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2186,"base":11},"right_expr":{"type":"numeric_atoms","value":4291,"base":11}}}}},"used_operators":["gub5Cegaqo","SWo3A1KBJH","LkLIoiE525","EBhcHTkKd8","7j4O788W3g","YbVcJGFEVW","Ph9nP6C5qx","RabNbG55vr","IwW236VD4Y","w5FWba1tyO","xD69zh8xqp"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5568","layer":4},{"info":"compute unary expreesion, input=5568, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=878","layer":2},{"info":"compute unary expreesion, input=878, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=7024","layer":1},{"info":"number node, value=2129","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=1923, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1450","layer":3},{"info":"number node, value=1685","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=3718, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-19450","layer":3},{"info":"compute binary expreesion, left_input=1450, right_input=-19450, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=77760","layer":2},{"info":"number node, value=2995","layer":4},{"info":"compute unary expreesion, input=2995, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=2186","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=4291, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-326175","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-326175, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=77760, 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=7024, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⇋↷((⊆⋠⋰*⋻4202)⇯⋐))⩁⩘(⋰*⋻1666≧⫂∧⋰*⋻1499≃⋰*⋻12A2⫣⪄⊒⋰*⋻2880↺(⪫⨮⊛⋰*⋻2283)≠≀⋰*⋻1708⪪⋰*⋻3251)=NaN","reverse_text":"NaN=(⇋↷((⊆⋠⋰*⋻4202)⇯⋐))⩁⩘(⋰*⋻1666≧⫂∧⋰*⋻1499≃⋰*⋻12A2⫣⪄⊒⋰*⋻2880↺(⪫⨮⊛⋰*⋻2283)≠≀⋰*⋻1708⪪⋰*⋻3251)","cot":[{"info":"⊆⋠⋰*⋻4202=⋰*⋻0","layer":3},{"info":"⋰*⋻0⇯⋐=⋰*⋻729","layer":2},{"info":"⇋↷⋰*⋻729=⋰*⋻5306","layer":1},{"info":"⋰*⋻1666≧⫂∧⋰*⋻1499=⋰*⋻10A9","layer":3},{"info":"⋰*⋻12A2⫣⪄⊒⋰*⋻2880=⋰*⋻-13682","layer":3},{"info":"⋰*⋻10A9≃⋰*⋻-13682=⋰*⋻53471","layer":2},{"info":"⪫⨮⊛⋰*⋻2283=NaN","layer":3},{"info":"⋰*⋻1708⪪⋰*⋻3251=⋰*⋻-203073","layer":3},{"info":"NaN≠≀⋰*⋻-203073=NaN","layer":2},{"info":"⋰*⋻53471↺NaN=NaN","layer":1},{"info":"⋰*⋻5306⩁⩘NaN=NaN","layer":0}]}
{"id":966,"expression_no_base_symbol":"($4062$⊵↤)⫗⊷⫓(≪$8994$)⪟⇏(⇈($1491$↺$1975$))∥⊢⊲((⫯$1778$)⨔≚≋(∥⊫$1297$))⨜⨶(($1800$↳∿⪆$1293$)⫻⋑⊟)","expression":"(⋰*⋻3063⊵↤)⫗⊷⫓(≪⋰*⋻6837)⪟⇏(⇈(⋰*⋻1136↺⋰*⋻1536))∥⊢⊲((⫯⋰*⋻1377)⨔≚≋(∥⊫⋰*⋻A7A))⨜⨶((⋰*⋻1397↳∿⪆⋰*⋻A76)⫻⋑⊟)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":712378,"operation_count":13,"complexity_ratio":54798.307692307695,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":4062,"base":11}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":8994,"base":11}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1491,"base":11},"right_expr":{"type":"numeric_atoms","value":1975,"base":11}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1778,"base":11}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1297,"base":11}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1800,"base":11},"right_expr":{"type":"numeric_atoms","value":1293,"base":11}}}}},"used_operators":["v1UQAVDJRr","GODebY97qR","zashukvMKz","7IPrd9c3lf","Qtd6bqUJcN","SLLxy00UIr","7j4O788W3g","HiPekx5b7W","Z57zeUYC9z","H6BK1Evt7c","P8v4zCKN1o","o575Zjdmzy","Cw4SuJJGHO"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4062","layer":4},{"info":"compute unary expreesion, input=4062, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"number node, value=8994","layer":4},{"info":"compute unary expreesion, input=8994, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=913, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1491","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=1975, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1975","layer":3},{"info":"compute unary expreesion, input=1975, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-447, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=1778","layer":4},{"info":"compute unary expreesion, input=1778, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-59888","layer":3},{"info":"number node, value=1297","layer":4},{"info":"compute unary expreesion, input=1297, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2165","layer":3},{"info":"compute binary expreesion, left_input=-59888, right_input=2165, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=938128","layer":2},{"info":"number node, value=1800","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=1293, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=938128, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻3063⊵↤)⫗⊷⫓(≪⋰*⋻6837)⪟⇏(⇈(⋰*⋻1136↺⋰*⋻1536))∥⊢⊲((⫯⋰*⋻1377)⨔≚≋(∥⊫⋰*⋻A7A))⨜⨶((⋰*⋻1397↳∿⪆⋰*⋻A76)⫻⋑⊟)=NaN","reverse_text":"NaN=(⋰*⋻3063⊵↤)⫗⊷⫓(≪⋰*⋻6837)⪟⇏(⇈(⋰*⋻1136↺⋰*⋻1536))∥⊢⊲((⫯⋰*⋻1377)⨔≚≋(∥⊫⋰*⋻A7A))⨜⨶((⋰*⋻1397↳∿⪆⋰*⋻A76)⫻⋑⊟)","cot":[{"info":"⋰*⋻3063⊵↤=⋰*⋻61","layer":3},{"info":"≪⋰*⋻6837=⋰*⋻760","layer":3},{"info":"⋰*⋻61⫗⊷⫓⋰*⋻760=⋰*⋻-112","layer":2},{"info":"⋰*⋻1136↺⋰*⋻1536=⋰*⋻1536","layer":3},{"info":"⇈⋰*⋻1536=⋰*⋻-377","layer":2},{"info":"⋰*⋻-112⪟⇏⋰*⋻-377=⋰*⋻0","layer":1},{"info":"⫯⋰*⋻1377=⋰*⋻-40AA4","layer":3},{"info":"∥⊫⋰*⋻A7A=⋰*⋻1699","layer":3},{"info":"⋰*⋻-40AA4⨔≚≋⋰*⋻1699=⋰*⋻590914","layer":2},{"info":"⋰*⋻1397↳∿⪆⋰*⋻A76=NaN","layer":3},{"info":"NaN⫻⋑⊟=NaN","layer":2},{"info":"⋰*⋻590914⨜⨶NaN=NaN","layer":1},{"info":"⋰*⋻0∥⊢⊲NaN=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"↨($2608$⫣⪄⊒$6142$⪶≀⋏$2279$⪚$1420$)≦↸($3402$⇡⇂$2087$+⪬∐$1836$∋$3887$)","expression":"↨(⋰*⋻1A61⫣⪄⊒⋰*⋻4684⪶≀⋏⋰*⋻1792⪚⋰*⋻1081)≦↸(⋰*⋻2613⇡⇂⋰*⋻1628+⪬∐⋰*⋻141A∋⋰*⋻2A14)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10359,"operation_count":8,"complexity_ratio":1294.875,"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":2608,"base":11},"right_expr":{"type":"numeric_atoms","value":6142,"base":11}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2279,"base":11},"right_expr":{"type":"numeric_atoms","value":1420,"base":11}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3402,"base":11},"right_expr":{"type":"numeric_atoms","value":2087,"base":11}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1836,"base":11},"right_expr":{"type":"numeric_atoms","value":3887,"base":11}}}}},"used_operators":["jiX4gk2v2Q","RygbFNSyEJ","zR4jO40bMj","RabNbG55vr","HrjLwUk87U","2GS7woTJqF","UMwdvZNt44","ukq6epAj5P"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2608","layer":4},{"info":"number node, value=6142","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=6142, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-32148","layer":3},{"info":"number node, value=2279","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=1420, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1362","layer":3},{"info":"compute binary expreesion, left_input=-32148, right_input=1362, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=10896","layer":2},{"info":"number node, value=3402","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=2087, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=3887, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=8095664","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8095664, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10896, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↨(⋰*⋻1A61⫣⪄⊒⋰*⋻4684⪶≀⋏⋰*⋻1792⪚⋰*⋻1081)≦↸(⋰*⋻2613⇡⇂⋰*⋻1628+⪬∐⋰*⋻141A∋⋰*⋻2A14)=NaN","reverse_text":"NaN=↨(⋰*⋻1A61⫣⪄⊒⋰*⋻4684⪶≀⋏⋰*⋻1792⪚⋰*⋻1081)≦↸(⋰*⋻2613⇡⇂⋰*⋻1628+⪬∐⋰*⋻141A∋⋰*⋻2A14)","cot":[{"info":"⋰*⋻1A61⫣⪄⊒⋰*⋻4684=⋰*⋻-22176","layer":3},{"info":"⋰*⋻1792⪚⋰*⋻1081=⋰*⋻1029","layer":3},{"info":"⋰*⋻-22176⪶≀⋏⋰*⋻1029=⋰*⋻8206","layer":2},{"info":"⋰*⋻2613⇡⇂⋰*⋻1628=NaN","layer":3},{"info":"⋰*⋻141A∋⋰*⋻2A14=⋰*⋻462A435","layer":3},{"info":"NaN+⪬∐⋰*⋻462A435=NaN","layer":2},{"info":"⋰*⋻8206≦↸NaN=NaN","layer":1},{"info":"↨NaN=NaN","layer":0}]}
{"id":968,"expression_no_base_symbol":"(($3787$≬⋮$1382$)↳≱(⇤←$4491$))⫗⊷⫓(($6687$∊∟⩊$4101$)⪬($1694$⊀⩕))↱(($3564$⩎⪣⊞)⩌⋺(⇜$7343$))∴(→⩰$6814$∀⇚≩$2011$)","expression":"((⋰*⋻2933≬⋮⋰*⋻1047)↳≱(⇤←⋰*⋻3413))⫗⊷⫓((⋰*⋻502A∊∟⩊⋰*⋻3099)⪬(⋰*⋻1300⊀⩕))↱((⋰*⋻2750⩎⪣⊞)⩌⋺(⇜⋰*⋻5576))∴(→⩰⋰*⋻5135∀⇚≩⋰*⋻1569)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1058229,"operation_count":14,"complexity_ratio":75587.78571428571,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3787,"base":11},"right_expr":{"type":"numeric_atoms","value":1382,"base":11}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":4491,"base":11}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6687,"base":11},"right_expr":{"type":"numeric_atoms","value":4101,"base":11}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1694,"base":11}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":3564,"base":11}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":7343,"base":11}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6814,"base":11},"right_expr":{"type":"numeric_atoms","value":2011,"base":11}}}}},"used_operators":["SR5kFfdi6N","zashukvMKz","JwTKLfZU96","kbkesczE7y","jfAgQ2OQeM","Ez1Nq5fNfI","ddLRYrp01A","r0FS3hW4cC","hrf7POJlIJ","g7Hmc5v1ko","waWucp1uQ4","lFBm8KRb8F","o8Pngz0Tml","LRNGc0VcxI"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rGHVDoGpnC","nhYeJWJD5X","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","mp7IySMOzn","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","X99M06cbEe"],"result":"⋰*⋻-1A6328","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3787","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=1382, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=4491","layer":4},{"info":"compute unary expreesion, input=4491, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-21089","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-21089, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=6687","layer":4},{"info":"number node, value=4101","layer":4},{"info":"compute binary expreesion, left_input=6687, right_input=4101, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4101","layer":3},{"info":"number node, value=1694","layer":4},{"info":"compute unary expreesion, input=1694, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4101, right_input=0, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=3564","layer":4},{"info":"compute unary expreesion, input=3564, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=7128","layer":3},{"info":"number node, value=7343","layer":4},{"info":"compute unary expreesion, input=7343, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-59152","layer":3},{"info":"compute binary expreesion, left_input=7128, right_input=-59152, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=51903","layer":2},{"info":"number node, value=6814","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=6814, right_input=2011, 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 = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=51903, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=105454","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=105454, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-315840","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2933≬⋮⋰*⋻1047)↳≱(⇤←⋰*⋻3413))⫗⊷⫓((⋰*⋻502A∊∟⩊⋰*⋻3099)⪬(⋰*⋻1300⊀⩕))↱((⋰*⋻2750⩎⪣⊞)⩌⋺(⇜⋰*⋻5576))∴(→⩰⋰*⋻5135∀⇚≩⋰*⋻1569)=⋰*⋻-1A6328","reverse_text":"⋰*⋻-1A6328=((⋰*⋻2933≬⋮⋰*⋻1047)↳≱(⇤←⋰*⋻3413))⫗⊷⫓((⋰*⋻502A∊∟⩊⋰*⋻3099)⪬(⋰*⋻1300⊀⩕))↱((⋰*⋻2750⩎⪣⊞)⩌⋺(⇜⋰*⋻5576))∴(→⩰⋰*⋻5135∀⇚≩⋰*⋻1569)","cot":[{"info":"⋰*⋻2933≬⋮⋰*⋻1047=⋰*⋻71A","layer":3},{"info":"⇤←⋰*⋻3413=⋰*⋻-14932","layer":3},{"info":"⋰*⋻71A↳≱⋰*⋻-14932=⋰*⋻0","layer":2},{"info":"⋰*⋻502A∊∟⩊⋰*⋻3099=⋰*⋻3099","layer":3},{"info":"⋰*⋻1300⊀⩕=⋰*⋻0","layer":3},{"info":"⋰*⋻3099⪬⋰*⋻0=⋰*⋻A22","layer":2},{"info":"⋰*⋻0⫗⊷⫓⋰*⋻A22=⋰*⋻-112","layer":1},{"info":"⋰*⋻2750⩎⪣⊞=⋰*⋻53A0","layer":3},{"info":"⇜⋰*⋻5576=⋰*⋻-40495","layer":3},{"info":"⋰*⋻53A0⩌⋺⋰*⋻-40495=⋰*⋻35AA5","layer":2},{"info":"⋰*⋻5135∀⇚≩⋰*⋻1569=NaN","layer":3},{"info":"→⩰NaN=NaN","layer":2},{"info":"⋰*⋻35AA5∴NaN=⋰*⋻72258","layer":1},{"info":"⋰*⋻-112↱⋰*⋻72258=⋰*⋻-1A6328","layer":0}]}
{"id":969,"expression_no_base_symbol":"(⨦⪝(⨈⪑$1170$≴⪞⇿$4085$))↺(($2395$⪓⨏)≀⫉$1587$∴$1309$)⊕∕($2828$⫞⩸⩒$3870$⨽∌(⪨⨬$6959$))","expression":"(⨦⪝(⨈⪑⋰*⋻974≴⪞⇿⋰*⋻3084))↺((⋰*⋻1888⪓⨏)≀⫉⋰*⋻1213∴⋰*⋻A90)⊕∕(⋰*⋻2141⫞⩸⩒⋰*⋻29A9⨽∌(⪨⨬⋰*⋻5257))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3901,"operation_count":11,"complexity_ratio":354.6363636363636,"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":1170,"base":11},"right_expr":{"type":"numeric_atoms","value":4085,"base":11}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":2395,"base":11}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1587,"base":11},"right_expr":{"type":"numeric_atoms","value":1309,"base":11}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2828,"base":11},"right_expr":{"type":"numeric_atoms","value":3870,"base":11}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":6959,"base":11}}}}},"used_operators":["7j4O788W3g","SUjycxNXIR","mp94q5OcYM","lvlrscuwVU","9cloC0Ngie","oZj3VtZNQx","4X9JU4Jbn6","hrf7POJlIJ","9samAPKr6k","XGcMNugi78","5obUd6DV38"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","T2fj7uvVaJ","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1170","layer":4},{"info":"number node, value=4085","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=4085, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1609452","layer":3},{"info":"compute unary expreesion, input=1609452, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"number node, value=2395","layer":4},{"info":"compute unary expreesion, input=2395, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"number node, value=1587","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=1309, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4822, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"number node, value=2828","layer":4},{"info":"number node, value=3870","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=3870, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3870","layer":3},{"info":"number node, value=6959","layer":4},{"info":"compute unary expreesion, input=6959, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=3870, right_input=-526, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1884, 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":11,"result_base":11,"text":"(⨦⪝(⨈⪑⋰*⋻974≴⪞⇿⋰*⋻3084))↺((⋰*⋻1888⪓⨏)≀⫉⋰*⋻1213∴⋰*⋻A90)⊕∕(⋰*⋻2141⫞⩸⩒⋰*⋻29A9⨽∌(⪨⨬⋰*⋻5257))=NaN","reverse_text":"NaN=(⨦⪝(⨈⪑⋰*⋻974≴⪞⇿⋰*⋻3084))↺((⋰*⋻1888⪓⨏)≀⫉⋰*⋻1213∴⋰*⋻A90)⊕∕(⋰*⋻2141⫞⩸⩒⋰*⋻29A9⨽∌(⪨⨬⋰*⋻5257))","cot":[{"info":"⋰*⋻974≴⪞⇿⋰*⋻3084=⋰*⋻9AA229","layer":3},{"info":"⨈⪑⋰*⋻9AA229=⋰*⋻71A","layer":2},{"info":"⨦⪝⋰*⋻71A=⋰*⋻-1463","layer":1},{"info":"⋰*⋻1888⪓⨏=NaN","layer":3},{"info":"⋰*⋻1213∴⋰*⋻A90=⋰*⋻3694","layer":3},{"info":"NaN≀⫉⋰*⋻3694=NaN","layer":2},{"info":"⋰*⋻2141⫞⩸⩒⋰*⋻29A9=⋰*⋻29A9","layer":3},{"info":"⪨⨬⋰*⋻5257=⋰*⋻-439","layer":3},{"info":"⋰*⋻29A9⨽∌⋰*⋻-439=⋰*⋻0","layer":2},{"info":"NaN⊕∕⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻-1463↺NaN=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"(⋗⩴⪓(($2550$⇉⇱⇎)∑⇟⊟$3884$∇⊂⋱$1149$))⊕∕((⩎⋉$3353$)⪨⊡$1526$≝⊿$7382$⪉⨛(⋎⨆$8241$)⇍⊗($1192$-$2670$))","expression":"(⋗⩴⪓((⋰*⋻1A09⇉⇱⇎)∑⇟⊟⋰*⋻2A11∇⊂⋱⋰*⋻955))⊕∕((⩎⋉⋰*⋻2579)⪨⊡⋰*⋻1168≝⊿⋰*⋻5601⪉⨛(⋎⨆⋰*⋻6212)⇍⊗(⋰*⋻994-⋰*⋻2008))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":717,"operation_count":12,"complexity_ratio":59.75,"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":2550,"base":11}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3884,"base":11},"right_expr":{"type":"numeric_atoms","value":1149,"base":11}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":3353,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1526,"base":11},"right_expr":{"type":"numeric_atoms","value":7382,"base":11}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":8241,"base":11}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1192,"base":11},"right_expr":{"type":"numeric_atoms","value":2670,"base":11}}}}},"used_operators":["9cloC0Ngie","nOKPl9n5zu","U7g4x0WXJJ","MRPaB8lBjK","nhYeJWJD5X","EWw2JM7wp4","kuIXHzHcAH","FlXk3pOYe8","OKKcZfAt5B","5uvYHDjeKN","E64sFOc4tB","rysDP5nf3Z"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","12rbrZMWeM","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2550","layer":4},{"info":"compute unary expreesion, input=2550, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-2332","layer":3},{"info":"number node, value=3884","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=3884, right_input=1149, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7222","layer":3},{"info":"compute binary expreesion, left_input=-2332, right_input=7222, 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 = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":1},{"info":"number node, value=3353","layer":4},{"info":"compute unary expreesion, input=3353, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=1526","layer":4},{"info":"number node, value=7382","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=7382, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16823","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-16823, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=68081","layer":2},{"info":"number node, value=8241","layer":4},{"info":"compute unary expreesion, input=8241, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1192","layer":4},{"info":"number node, value=2670","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=2670, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1478","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1478, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=68081, right_input=-244, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=204702","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204702, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(⋗⩴⪓((⋰*⋻1A09⇉⇱⇎)∑⇟⊟⋰*⋻2A11∇⊂⋱⋰*⋻955))⊕∕((⩎⋉⋰*⋻2579)⪨⊡⋰*⋻1168≝⊿⋰*⋻5601⪉⨛(⋎⨆⋰*⋻6212)⇍⊗(⋰*⋻994-⋰*⋻2008))=NaN","reverse_text":"NaN=(⋗⩴⪓((⋰*⋻1A09⇉⇱⇎)∑⇟⊟⋰*⋻2A11∇⊂⋱⋰*⋻955))⊕∕((⩎⋉⋰*⋻2579)⪨⊡⋰*⋻1168≝⊿⋰*⋻5601⪉⨛(⋎⨆⋰*⋻6212)⇍⊗(⋰*⋻994-⋰*⋻2008))","cot":[{"info":"⋰*⋻1A09⇉⇱⇎=⋰*⋻-1830","layer":3},{"info":"⋰*⋻2A11∇⊂⋱⋰*⋻955=⋰*⋻5476","layer":3},{"info":"⋰*⋻-1830∑⇟⊟⋰*⋻5476=NaN","layer":2},{"info":"⋗⩴⪓NaN=NaN","layer":1},{"info":"⩎⋉⋰*⋻2579=⋰*⋻1270","layer":3},{"info":"⋰*⋻1168≝⊿⋰*⋻5601=⋰*⋻-11704","layer":3},{"info":"⋰*⋻1270⪨⊡⋰*⋻-11704=⋰*⋻47172","layer":2},{"info":"⋎⨆⋰*⋻6212=⋰*⋻0","layer":3},{"info":"⋰*⋻994-⋰*⋻2008=⋰*⋻-1124","layer":3},{"info":"⋰*⋻0⇍⊗⋰*⋻-1124=⋰*⋻-202","layer":2},{"info":"⋰*⋻47172⪉⨛⋰*⋻-202=⋰*⋻12A883","layer":1},{"info":"NaN⊕∕⋰*⋻12A883=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"⩦⊞(((≱⇩⩕$1730$)⩉⊫⨁)⨰($2495$≝⊿$1641$⪨≂(↓⇌$4560$)))","expression":"⩦⊞(((≱⇩⩕⋰*⋻1333)⩉⊫⨁)⨰(⋰*⋻1969≝⊿⋰*⋻1262⪨≂(↓⇌⋰*⋻3476)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":58,"operation_count":7,"complexity_ratio":8.285714285714286,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1730,"base":11}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2495,"base":11},"right_expr":{"type":"numeric_atoms","value":1641,"base":11}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":4560,"base":11}}}}},"used_operators":["u7fv1HBiaC","eewbuw0ToL","7qqUquhhSb","3DZMoQKiUl","sdazOOVcIp","OKKcZfAt5B","PxpmPgHHJV"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","12rbrZMWeM","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"⋰*⋻-15165","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1730","layer":4},{"info":"compute unary expreesion, input=1730, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=113","layer":2},{"info":"number node, value=2495","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=2495, right_input=1641, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6310","layer":3},{"info":"number node, value=4560","layer":4},{"info":"compute unary expreesion, input=4560, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4560","layer":3},{"info":"compute binary expreesion, left_input=-6310, 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=-21638","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-21638, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=21761","layer":1},{"info":"compute unary expreesion, input=21761, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-21488","layer":0}],"base":11,"result_base":11,"text":"⩦⊞(((≱⇩⩕⋰*⋻1333)⩉⊫⨁)⨰(⋰*⋻1969≝⊿⋰*⋻1262⪨≂(↓⇌⋰*⋻3476)))=⋰*⋻-15165","reverse_text":"⋰*⋻-15165=⩦⊞(((≱⇩⩕⋰*⋻1333)⩉⊫⨁)⨰(⋰*⋻1969≝⊿⋰*⋻1262⪨≂(↓⇌⋰*⋻3476)))","cot":[{"info":"≱⇩⩕⋰*⋻1333=⋰*⋻A3","layer":3},{"info":"⋰*⋻A3⩉⊫⨁=⋰*⋻A3","layer":2},{"info":"⋰*⋻1969≝⊿⋰*⋻1262=⋰*⋻-4817","layer":3},{"info":"↓⇌⋰*⋻3476=⋰*⋻3476","layer":3},{"info":"⋰*⋻-4817⪨≂⋰*⋻3476=⋰*⋻-15291","layer":2},{"info":"⋰*⋻A3⨰⋰*⋻-15291=⋰*⋻15393","layer":1},{"info":"⩦⊞⋰*⋻15393=⋰*⋻-15165","layer":0}]}
{"id":972,"expression_no_base_symbol":"(($6749$⩣⫁∢$3652$)⨿(⩪∧⨌$4910$)⫲)⨿(($6665$⨐⩸⫘$4893$)∣(⊄⩳↩$2476$)⪭≯($4564$≦≮≮)≴⪞⇿($2141$⇴∐$3345$))","expression":"((⋰*⋻5086⩣⫁∢⋰*⋻2820)⨿(⩪∧⨌⋰*⋻3764)⫲)⨿((⋰*⋻500A⨐⩸⫘⋰*⋻3749)∣(⊄⩳↩⋰*⋻1951)⪭≯(⋰*⋻347A≦≮≮)≴⪞⇿(⋰*⋻1677⇴∐⋰*⋻2571))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":41091,"operation_count":12,"complexity_ratio":3424.25,"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":6749,"base":11},"right_expr":{"type":"numeric_atoms","value":3652,"base":11}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4910,"base":11}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6665,"base":11},"right_expr":{"type":"numeric_atoms","value":4893,"base":11}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2476,"base":11}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4564,"base":11}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2141,"base":11},"right_expr":{"type":"numeric_atoms","value":3345,"base":11}}}}},"used_operators":["abYXlopdE0","9xnGDUPbC6","JDUIKTTSIa","6iOiAJX1F8","XAx5wpdLa6","PPChnnnBFF","fu6greOZ01","8w2t5hMYqp","lvlrscuwVU","D4vGDi5EA2","HnzytWxmAO"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"⋰*⋻100","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6749","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=6749, right_input=3652, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-13337","layer":3},{"info":"number node, value=4910","layer":4},{"info":"compute unary expreesion, input=4910, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=49100","layer":3},{"info":"compute binary expreesion, left_input=-13337, right_input=49100, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-206","layer":1},{"info":"number node, value=6665","layer":4},{"info":"number node, value=4893","layer":4},{"info":"compute binary expreesion, left_input=6665, right_input=4893, 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=2476","layer":4},{"info":"compute unary expreesion, input=2476, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7428","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7428, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"number node, value=4564","layer":4},{"info":"compute unary expreesion, input=4564, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13692","layer":3},{"info":"number node, value=2141","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=3345, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-13692, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-168804","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-168804, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-206, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻5086⩣⫁∢⋰*⋻2820)⨿(⩪∧⨌⋰*⋻3764)⫲)⨿((⋰*⋻500A⨐⩸⫘⋰*⋻3749)∣(⊄⩳↩⋰*⋻1951)⪭≯(⋰*⋻347A≦≮≮)≴⪞⇿(⋰*⋻1677⇴∐⋰*⋻2571))=⋰*⋻100","reverse_text":"⋰*⋻100=((⋰*⋻5086⩣⫁∢⋰*⋻2820)⨿(⩪∧⨌⋰*⋻3764)⫲)⨿((⋰*⋻500A⨐⩸⫘⋰*⋻3749)∣(⊄⩳↩⋰*⋻1951)⪭≯(⋰*⋻347A≦≮≮)≴⪞⇿(⋰*⋻1677⇴∐⋰*⋻2571))","cot":[{"info":"⋰*⋻5086⩣⫁∢⋰*⋻2820=⋰*⋻-A025","layer":3},{"info":"⩪∧⨌⋰*⋻3764=⋰*⋻33987","layer":3},{"info":"⋰*⋻-A025⨿⋰*⋻33987=⋰*⋻61","layer":2},{"info":"⋰*⋻61⫲=⋰*⋻-178","layer":1},{"info":"⋰*⋻500A⨐⩸⫘⋰*⋻3749=NaN","layer":3},{"info":"⊄⩳↩⋰*⋻1951=⋰*⋻-5643","layer":3},{"info":"NaN∣⋰*⋻-5643=NaN","layer":2},{"info":"⋰*⋻347A≦≮≮=⋰*⋻-A318","layer":3},{"info":"⋰*⋻1677⇴∐⋰*⋻2571=NaN","layer":3},{"info":"⋰*⋻-A318≴⪞⇿NaN=⋰*⋻-105909","layer":2},{"info":"NaN⪭≯⋰*⋻-105909=NaN","layer":1},{"info":"⋰*⋻-178⨿NaN=⋰*⋻100","layer":0}]}
{"id":973,"expression_no_base_symbol":"($3513$≄⊠$1441$⫠↝⫳)≎⪠(($2007$⩤)⨚($3186$⊝))→⨶⪴((($4738$⊿∆)⪨≂(⨆≐≲$1504$))⩹(↸⊣$1333$⫗⊷⫓$1283$))","expression":"(⋰*⋻2704≄⊠⋰*⋻10A0⫠↝⫳)≎⪠((⋰*⋻1565⩤)⨚(⋰*⋻2437⊝))→⨶⪴(((⋰*⋻3618⊿∆)⪨≂(⨆≐≲⋰*⋻1148))⩹(↸⊣⋰*⋻1002⫗⊷⫓⋰*⋻A67))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1015552,"operation_count":13,"complexity_ratio":78119.38461538461,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3513,"base":11},"right_expr":{"type":"numeric_atoms","value":1441,"base":11}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2007,"base":11}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":3186,"base":11}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":4738,"base":11}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1504,"base":11}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1333,"base":11},"right_expr":{"type":"numeric_atoms","value":1283,"base":11}}}}},"used_operators":["bF6eod5Gvf","aNhz54LH3e","8n5YIzOsVS","vXNesLlMH1","nREPSIbpBE","Z2TMIBDE3Q","O6EZ0fifGK","2Wsdkap16l","sdazOOVcIp","fv3ZujxkQL","Bi9z9uYZqW","wztAlM01eG","zashukvMKz"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⋰*⋻-666","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3513","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=1441, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=27724","layer":3},{"info":"compute unary expreesion, input=27724, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=887791","layer":2},{"info":"number node, value=2007","layer":4},{"info":"compute unary expreesion, input=2007, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2007","layer":3},{"info":"number node, value=3186","layer":4},{"info":"compute unary expreesion, input=3186, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=3186","layer":3},{"info":"compute binary expreesion, left_input=-2007, right_input=3186, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-15824","layer":2},{"info":"compute binary expreesion, left_input=887791, right_input=-15824, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=4738","layer":4},{"info":"compute unary expreesion, input=4738, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-9597","layer":3},{"info":"number node, value=1504","layer":4},{"info":"compute unary expreesion, input=1504, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=16126296","layer":3},{"info":"compute binary expreesion, left_input=-9597, right_input=16126296, 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=-32271684","layer":2},{"info":"number node, value=1333","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1283, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=268","layer":2},{"info":"compute binary expreesion, left_input=-32271684, right_input=268, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=266","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=266, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-798","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻2704≄⊠⋰*⋻10A0⫠↝⫳)≎⪠((⋰*⋻1565⩤)⨚(⋰*⋻2437⊝))→⨶⪴(((⋰*⋻3618⊿∆)⪨≂(⨆≐≲⋰*⋻1148))⩹(↸⊣⋰*⋻1002⫗⊷⫓⋰*⋻A67))=⋰*⋻-666","reverse_text":"⋰*⋻-666=(⋰*⋻2704≄⊠⋰*⋻10A0⫠↝⫳)≎⪠((⋰*⋻1565⩤)⨚(⋰*⋻2437⊝))→⨶⪴(((⋰*⋻3618⊿∆)⪨≂(⨆≐≲⋰*⋻1148))⩹(↸⊣⋰*⋻1002⫗⊷⫓⋰*⋻A67))","cot":[{"info":"⋰*⋻2704≄⊠⋰*⋻10A0=⋰*⋻19914","layer":3},{"info":"⋰*⋻19914⫠↝⫳=⋰*⋻557013","layer":2},{"info":"⋰*⋻1565⩤=⋰*⋻-1565","layer":3},{"info":"⋰*⋻2437⊝=⋰*⋻2437","layer":3},{"info":"⋰*⋻-1565⨚⋰*⋻2437=⋰*⋻-10986","layer":2},{"info":"⋰*⋻557013≎⪠⋰*⋻-10986=⋰*⋻13770","layer":1},{"info":"⋰*⋻3618⊿∆=⋰*⋻-7235","layer":3},{"info":"⨆≐≲⋰*⋻1148=⋰*⋻9114A1A","layer":3},{"info":"⋰*⋻-7235⪨≂⋰*⋻9114A1A=⋰*⋻-17242215","layer":2},{"info":"⋰*⋻1002⫗⊷⫓⋰*⋻A67=⋰*⋻-112","layer":3},{"info":"↸⊣⋰*⋻-112=⋰*⋻224","layer":2},{"info":"⋰*⋻-17242215⩹⋰*⋻224=⋰*⋻222","layer":1},{"info":"⋰*⋻13770→⨶⪴⋰*⋻222=⋰*⋻-666","layer":0}]}
{"id":974,"expression_no_base_symbol":"≦∁(↽≂$4455$)⨿(⨰⫟⨤$7279$)⨐⩸⫘((⊬↢$9872$)≓∲$2731$⫗⊷⫓$1051$)","expression":"≦∁(↽≂⋰*⋻3390)⨿(⨰⫟⨤⋰*⋻5518)⨐⩸⫘((⊬↢⋰*⋻7465)≓∲⋰*⋻2063⫗⊷⫓⋰*⋻876)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":881315,"operation_count":8,"complexity_ratio":110164.375,"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":4455,"base":11}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7279,"base":11}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":9872,"base":11}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2731,"base":11},"right_expr":{"type":"numeric_atoms","value":1051,"base":11}}}}},"used_operators":["9ICcGScMcE","fu6greOZ01","abYXlopdE0","u6S6b8DprG","Tw270M8GLb","s1XTVnmDOJ","WPoGxAaPR1","zashukvMKz"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3ViojmjbAp","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4455","layer":4},{"info":"compute unary expreesion, input=4455, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8910","layer":3},{"info":"number node, value=7279","layer":4},{"info":"compute unary expreesion, input=7279, 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=-8910, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=9872","layer":4},{"info":"compute unary expreesion, input=9872, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=2731","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2731, right_input=1051, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=-134, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-8165","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-8165, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"≦∁(↽≂⋰*⋻3390)⨿(⨰⫟⨤⋰*⋻5518)⨐⩸⫘((⊬↢⋰*⋻7465)≓∲⋰*⋻2063⫗⊷⫓⋰*⋻876)=NaN","reverse_text":"NaN=≦∁(↽≂⋰*⋻3390)⨿(⨰⫟⨤⋰*⋻5518)⨐⩸⫘((⊬↢⋰*⋻7465)≓∲⋰*⋻2063⫗⊷⫓⋰*⋻876)","cot":[{"info":"↽≂⋰*⋻3390=⋰*⋻-6770","layer":3},{"info":"⨰⫟⨤⋰*⋻5518=NaN","layer":3},{"info":"⋰*⋻-6770⨿NaN=⋰*⋻61","layer":2},{"info":"⊬↢⋰*⋻7465=⋰*⋻189","layer":3},{"info":"⋰*⋻2063⫗⊷⫓⋰*⋻876=⋰*⋻-112","layer":3},{"info":"⋰*⋻189≓∲⋰*⋻-112=⋰*⋻-6153","layer":2},{"info":"⋰*⋻61⨐⩸⫘⋰*⋻-6153=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":975,"expression_no_base_symbol":"$2475$⇻⋧≁$1131$⨑⩅≇($3710$⨑⩅≇$5980$)⪟⇏(($4858$↦)∘(∓$1036$))⊜","expression":"⋰*⋻1950⇻⋧≁⋰*⋻939⨑⩅≇(⋰*⋻2873⨑⩅≇⋰*⋻4547)⪟⇏((⋰*⋻3717↦)∘(∓⋰*⋻862))⊜","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":232953,"operation_count":8,"complexity_ratio":29119.125,"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":2475,"base":11},"right_expr":{"type":"numeric_atoms","value":1131,"base":11}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3710,"base":11},"right_expr":{"type":"numeric_atoms","value":5980,"base":11}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":4858,"base":11}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1036,"base":11}}}}},"used_operators":["Eev2Q7dYIw","GODebY97qR","h92wMvzauj","jCPkEVoL5K","Z5m6OM72h2","fFznvYxMfW","OwUj7dcsQK"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eH2TOUuTDT","rysDP5nf3Z","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"⋰*⋻1342","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2475","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=1131, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=3710","layer":4},{"info":"number node, value=5980","layer":4},{"info":"compute binary expreesion, left_input=3710, right_input=5980, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-11130","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-11130, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=3952","layer":2},{"info":"number node, value=4858","layer":4},{"info":"compute unary expreesion, input=4858, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-20412","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20412, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3952, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1740","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1950⇻⋧≁⋰*⋻939⨑⩅≇(⋰*⋻2873⨑⩅≇⋰*⋻4547)⪟⇏((⋰*⋻3717↦)∘(∓⋰*⋻862))⊜=⋰*⋻1342","reverse_text":"⋰*⋻1342=⋰*⋻1950⇻⋧≁⋰*⋻939⨑⩅≇(⋰*⋻2873⨑⩅≇⋰*⋻4547)⪟⇏((⋰*⋻3717↦)∘(∓⋰*⋻862))⊜","cot":[{"info":"⋰*⋻1950⇻⋧≁⋰*⋻939=⋰*⋻-377","layer":3},{"info":"⋰*⋻2873⨑⩅≇⋰*⋻4547=⋰*⋻-83A9","layer":3},{"info":"⋰*⋻-377⨑⩅≇⋰*⋻-83A9=⋰*⋻2A73","layer":2},{"info":"⋰*⋻3717↦=NaN","layer":3},{"info":"∓⋰*⋻862=⋰*⋻-14377","layer":3},{"info":"NaN∘⋰*⋻-14377=NaN","layer":2},{"info":"⋰*⋻2A73⪟⇏NaN=⋰*⋻-1","layer":1},{"info":"⋰*⋻-1⊜=⋰*⋻1342","layer":0}]}
{"id":976,"expression_no_base_symbol":"(($2968$≝⊿$1586$)∓⋝($1151$⊉↱≁$5308$)⋘⨑⨽)⩏","expression":"((⋰*⋻2259≝⊿⋰*⋻1212)∓⋝(⋰*⋻957⊉↱≁⋰*⋻3A96)⋘⨑⨽)⩏","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":635,"operation_count":5,"complexity_ratio":127.0,"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":2968,"base":11},"right_expr":{"type":"numeric_atoms","value":1586,"base":11}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1151,"base":11},"right_expr":{"type":"numeric_atoms","value":5308,"base":11}}}}},"used_operators":["iA2gmKZ3Wj","WmT3o8z6ya","PoHhknlbAi","OKKcZfAt5B","w2P8NbNXyL"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","12rbrZMWeM","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2968","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=1586, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6673","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=5308","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=5308, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-21452","layer":3},{"info":"compute binary expreesion, left_input=-6673, right_input=-21452, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=1118","layer":1},{"info":"compute unary expreesion, input=1118, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻2259≝⊿⋰*⋻1212)∓⋝(⋰*⋻957⊉↱≁⋰*⋻3A96)⋘⨑⨽)⩏=⋰*⋻0","reverse_text":"⋰*⋻0=((⋰*⋻2259≝⊿⋰*⋻1212)∓⋝(⋰*⋻957⊉↱≁⋰*⋻3A96)⋘⨑⨽)⩏","cot":[{"info":"⋰*⋻2259≝⊿⋰*⋻1212=⋰*⋻-5017","layer":3},{"info":"⋰*⋻957⊉↱≁⋰*⋻3A96=⋰*⋻-15132","layer":3},{"info":"⋰*⋻-5017∓⋝⋰*⋻-15132=⋰*⋻61","layer":2},{"info":"⋰*⋻61⋘⨑⨽=⋰*⋻927","layer":1},{"info":"⋰*⋻927⩏=⋰*⋻0","layer":0}]}
{"id":977,"expression_no_base_symbol":"(⪓⩚($3699$⫗⊷⫓$1654$∠↢$4182$⪭≯$2274$))⨻⩈⩔(((↓⇌$2304$)⨵⪆$4600$⇂≾⫗$1414$)⫌⩉⩟($2413$⨴∎)⊉≛↸($1767$⨝⩣∺))","expression":"(⪓⩚(⋰*⋻2863⫗⊷⫓⋰*⋻1274∠↢⋰*⋻3162⪭≯⋰*⋻1788))⨻⩈⩔(((↓⇌⋰*⋻1805)⨵⪆⋰*⋻3502⇂≾⫗⋰*⋻1076)⫌⩉⩟(⋰*⋻18A4⨴∎)⊉≛↸(⋰*⋻1367⨝⩣∺))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1291132,"operation_count":12,"complexity_ratio":107594.33333333333,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3699,"base":11},"right_expr":{"type":"numeric_atoms","value":1654,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4182,"base":11},"right_expr":{"type":"numeric_atoms","value":2274,"base":11}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2304,"base":11}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4600,"base":11},"right_expr":{"type":"numeric_atoms","value":1414,"base":11}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2413,"base":11}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1767,"base":11}}}}},"used_operators":["nEsXyWgiOK","u0R0Locfp2","KbjG8mgYpV","zashukvMKz","XAx5wpdLa6","XIIwhv8d0m","2DQ55sFlQl","PxpmPgHHJV","aBQ6xLxuTc","DZ8iAZOCBD","CpSg5vQTgA","ancx8kZcWl"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","DZ8iAZOCBD","t8gj7n24qd"],"result":"⋰*⋻-149","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3699","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=1654, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=4182","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=4182, right_input=2274, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=2304","layer":4},{"info":"compute unary expreesion, input=2304, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2304","layer":3},{"info":"number node, value=4600","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=4600, right_input=1414, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=2304, right_input=-676, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2413","layer":4},{"info":"compute unary expreesion, input=2413, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=1767","layer":4},{"info":"compute unary expreesion, input=1767, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-3534","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3534, 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=160, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=426, right_input=-50, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":11,"result_base":11,"text":"(⪓⩚(⋰*⋻2863⫗⊷⫓⋰*⋻1274∠↢⋰*⋻3162⪭≯⋰*⋻1788))⨻⩈⩔(((↓⇌⋰*⋻1805)⨵⪆⋰*⋻3502⇂≾⫗⋰*⋻1076)⫌⩉⩟(⋰*⋻18A4⨴∎)⊉≛↸(⋰*⋻1367⨝⩣∺))=⋰*⋻-149","reverse_text":"⋰*⋻-149=(⪓⩚(⋰*⋻2863⫗⊷⫓⋰*⋻1274∠↢⋰*⋻3162⪭≯⋰*⋻1788))⨻⩈⩔(((↓⇌⋰*⋻1805)⨵⪆⋰*⋻3502⇂≾⫗⋰*⋻1076)⫌⩉⩟(⋰*⋻18A4⨴∎)⊉≛↸(⋰*⋻1367⨝⩣∺))","cot":[{"info":"⋰*⋻2863⫗⊷⫓⋰*⋻1274=⋰*⋻-112","layer":3},{"info":"⋰*⋻3162⪭≯⋰*⋻1788=NaN","layer":3},{"info":"⋰*⋻-112∠↢NaN=NaN","layer":2},{"info":"⪓⩚NaN=⋰*⋻358","layer":1},{"info":"↓⇌⋰*⋻1805=⋰*⋻1805","layer":3},{"info":"⋰*⋻3502⇂≾⫗⋰*⋻1076=⋰*⋻-565","layer":3},{"info":"⋰*⋻1805⨵⪆⋰*⋻-565=⋰*⋻136","layer":2},{"info":"⋰*⋻18A4⨴∎=NaN","layer":3},{"info":"⋰*⋻1367⨝⩣∺=⋰*⋻-2723","layer":3},{"info":"NaN⊉≛↸⋰*⋻-2723=NaN","layer":2},{"info":"⋰*⋻136⫌⩉⩟NaN=⋰*⋻-46","layer":1},{"info":"⋰*⋻358⨻⩈⩔⋰*⋻-46=⋰*⋻-149","layer":0}]}
{"id":978,"expression_no_base_symbol":"((⫓⪴$4215$)∌($1058$+⇶⊼$2734$)⪄(($3590$⪒$1007$)↠))↼⊘⨖(⪫⨮⊛$9654$)⫞⩸⩒(⨩∲⋌$2099$)∺≝⩲(($3208$⇌⫙⪟$5219$)⨫⇇↔($7208$⫸⊐$1471$))","expression":"((⫓⪴⋰*⋻3192)∌(⋰*⋻882+⇶⊼⋰*⋻2066)⪄((⋰*⋻2774⪒⋰*⋻836)↠))↼⊘⨖(⪫⨮⊛⋰*⋻7287)⫞⩸⩒(⨩∲⋌⋰*⋻1639)∺≝⩲((⋰*⋻2457⇌⫙⪟⋰*⋻3A15)⨫⇇↔(⋰*⋻5463⫸⊐⋰*⋻1118))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2933982,"operation_count":14,"complexity_ratio":209570.14285714287,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4215,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1058,"base":11},"right_expr":{"type":"numeric_atoms","value":2734,"base":11}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3590,"base":11},"right_expr":{"type":"numeric_atoms","value":1007,"base":11}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":9654,"base":11}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2099,"base":11}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3208,"base":11},"right_expr":{"type":"numeric_atoms","value":5219,"base":11}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7208,"base":11},"right_expr":{"type":"numeric_atoms","value":1471,"base":11}}}}},"used_operators":["bPywburJMS","SUmda5xLS4","8cLx32lpNA","eLxqMNBOBk","TpPTUOHfaN","LBdsKIvxzf","f6k1SAg4EE","KPf6cnQVty","XGcMNugi78","w5FWba1tyO","aSik1wnThz","LXhwmt4mBO","AFVx7xoS7T","mqXw5SEYmG"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9HNa5Wba9A","AHs5Up7iyr","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋰*⋻8A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4215","layer":4},{"info":"compute unary expreesion, input=4215, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=17766225","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=2734, 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=17766225, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":2},{"info":"number node, value=3590","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=3590, right_input=1007, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4597","layer":3},{"info":"compute unary expreesion, input=-4597, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=9654","layer":4},{"info":"compute unary expreesion, input=9654, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=2099","layer":4},{"info":"compute unary expreesion, input=2099, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2622","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2622, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":2},{"info":"number node, value=3208","layer":4},{"info":"number node, value=5219","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=5219, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=7208","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=7208, right_input=1471, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5759","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=5759, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=160, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=98","layer":0}],"base":11,"result_base":11,"text":"((⫓⪴⋰*⋻3192)∌(⋰*⋻882+⇶⊼⋰*⋻2066)⪄((⋰*⋻2774⪒⋰*⋻836)↠))↼⊘⨖(⪫⨮⊛⋰*⋻7287)⫞⩸⩒(⨩∲⋌⋰*⋻1639)∺≝⩲((⋰*⋻2457⇌⫙⪟⋰*⋻3A15)⨫⇇↔(⋰*⋻5463⫸⊐⋰*⋻1118))=⋰*⋻8A","reverse_text":"⋰*⋻8A=((⫓⪴⋰*⋻3192)∌(⋰*⋻882+⇶⊼⋰*⋻2066)⪄((⋰*⋻2774⪒⋰*⋻836)↠))↼⊘⨖(⪫⨮⊛⋰*⋻7287)⫞⩸⩒(⨩∲⋌⋰*⋻1639)∺≝⩲((⋰*⋻2457⇌⫙⪟⋰*⋻3A15)⨫⇇↔(⋰*⋻5463⫸⊐⋰*⋻1118))","cot":[{"info":"⫓⪴⋰*⋻3192=⋰*⋻A035034","layer":3},{"info":"⋰*⋻882+⇶⊼⋰*⋻2066=NaN","layer":3},{"info":"⋰*⋻A035034∌NaN=NaN","layer":2},{"info":"⋰*⋻2774⪒⋰*⋻836=⋰*⋻-34AA","layer":3},{"info":"⋰*⋻-34AA↠=NaN","layer":2},{"info":"NaN⪄NaN=⋰*⋻2A98","layer":1},{"info":"⪫⨮⊛⋰*⋻7287=NaN","layer":3},{"info":"⨩∲⋌⋰*⋻1639=⋰*⋻-1A74","layer":3},{"info":"NaN⫞⩸⩒⋰*⋻-1A74=NaN","layer":2},{"info":"⋰*⋻2457⇌⫙⪟⋰*⋻3A15=⋰*⋻A3","layer":3},{"info":"⋰*⋻5463⫸⊐⋰*⋻1118=⋰*⋻4366","layer":3},{"info":"⋰*⋻A3⨫⇇↔⋰*⋻4366=⋰*⋻-43A","layer":2},{"info":"NaN∺≝⩲⋰*⋻-43A=⋰*⋻136","layer":1},{"info":"⋰*⋻2A98↼⊘⨖⋰*⋻136=⋰*⋻8A","layer":0}]}
{"id":979,"expression_no_base_symbol":"((⨑⩽⪐$2329$⨚$3991$)⩺⪪(⇈($1645$⪛$2076$)))⊔(($3475$⇆⨓≜)⇞)≀⫉$1119$⪟⇏$6172$⫉⨲⊜($2369$↛⩡⫤)","expression":"((⨑⩽⪐⋰*⋻1828⨚⋰*⋻2AA9)⩺⪪(⇈(⋰*⋻1266⪛⋰*⋻1618)))⊔((⋰*⋻267A⇆⨓≜)⇞)≀⫉⋰*⋻928⪟⇏⋰*⋻4701⫉⨲⊜(⋰*⋻1864↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8780,"operation_count":12,"complexity_ratio":731.6666666666666,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2329,"base":11},"right_expr":{"type":"numeric_atoms","value":3991,"base":11}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1645,"base":11},"right_expr":{"type":"numeric_atoms","value":2076,"base":11}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3475,"base":11}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1119,"base":11},"right_expr":{"type":"numeric_atoms","value":6172,"base":11}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2369,"base":11}}}}},"used_operators":["E4l6HwMY31","uvdQJvN4PV","AF7qkfDlqP","nREPSIbpBE","SLLxy00UIr","uFcxV4UQCh","oZj3VtZNQx","5JYyxRJd4f","KvvgdUaMHJ","WhqkvtTD3t","GODebY97qR","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","12rbrZMWeM","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","Uaa54Peajs","KYD54nUTWz","eewbuw0ToL","zVYPLywUTj","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2329","layer":4},{"info":"number node, value=3991","layer":4},{"info":"compute binary expreesion, left_input=2329, right_input=3991, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-10372","layer":3},{"info":"compute unary expreesion, input=-10372, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=21533","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=2076, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1645","layer":3},{"info":"compute unary expreesion, input=1645, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=21533, right_input=-447, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-352578","layer":1},{"info":"number node, value=3475","layer":4},{"info":"compute unary expreesion, input=3475, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":2},{"info":"number node, value=1119","layer":4},{"info":"number node, value=6172","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=6172, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2369","layer":4},{"info":"compute unary expreesion, input=2369, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-353808","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-353808, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-353918","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-353918, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-352578, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⨑⩽⪐⋰*⋻1828⨚⋰*⋻2AA9)⩺⪪(⇈(⋰*⋻1266⪛⋰*⋻1618)))⊔((⋰*⋻267A⇆⨓≜)⇞)≀⫉⋰*⋻928⪟⇏⋰*⋻4701⫉⨲⊜(⋰*⋻1864↛⩡⫤)=NaN","reverse_text":"NaN=((⨑⩽⪐⋰*⋻1828⨚⋰*⋻2AA9)⩺⪪(⇈(⋰*⋻1266⪛⋰*⋻1618)))⊔((⋰*⋻267A⇆⨓≜)⇞)≀⫉⋰*⋻928⪟⇏⋰*⋻4701⫉⨲⊜(⋰*⋻1864↛⩡⫤)","cot":[{"info":"⋰*⋻1828⨚⋰*⋻2AA9=⋰*⋻-787A","layer":3},{"info":"⨑⩽⪐⋰*⋻-787A=⋰*⋻151A6","layer":2},{"info":"⋰*⋻1266⪛⋰*⋻1618=⋰*⋻1266","layer":3},{"info":"⇈⋰*⋻1266=⋰*⋻-377","layer":2},{"info":"⋰*⋻151A6⩺⪪⋰*⋻-377=⋰*⋻-220996","layer":1},{"info":"⋰*⋻267A⇆⨓≜=NaN","layer":3},{"info":"NaN⇞=NaN","layer":2},{"info":"⋰*⋻928⪟⇏⋰*⋻4701=⋰*⋻-1","layer":3},{"info":"⋰*⋻1864↛⩡⫤=⋰*⋻-221904","layer":3},{"info":"⋰*⋻-1⫉⨲⊜⋰*⋻-221904=⋰*⋻-2219A4","layer":2},{"info":"NaN≀⫉⋰*⋻-2219A4=NaN","layer":1},{"info":"⋰*⋻-220996⊔NaN=NaN","layer":0}]}
{"id":980,"expression_no_base_symbol":"($1756$⫲≸⪮$5116$⩵∡$2834$⨔≚≋$4179$⪄(⊄⩳↩$2044$⫗⊷⫓$1610$))⩁⩘(($2239$⨿$1613$)⊮⊟↴($3822$↸$2788$)⩧⪆($1936$≥⨤⩑$6147$)⨻⩈⩔($2276$⨳⩥⨓$3799$))","expression":"(⋰*⋻1357⫲≸⪮⋰*⋻3931⩵∡⋰*⋻2147⨔≚≋⋰*⋻315A⪄(⊄⩳↩⋰*⋻1599⫗⊷⫓⋰*⋻1234))⩁⩘((⋰*⋻1756⨿⋰*⋻1237)⊮⊟↴(⋰*⋻2965↸⋰*⋻2105)⩧⪆(⋰*⋻1500≥⨤⩑⋰*⋻4689)⨻⩈⩔(⋰*⋻178A⨳⩥⨓⋰*⋻2944))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1255392,"operation_count":14,"complexity_ratio":89670.85714285714,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1756,"base":11},"right_expr":{"type":"numeric_atoms","value":5116,"base":11}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2834,"base":11},"right_expr":{"type":"numeric_atoms","value":4179,"base":11}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2044,"base":11},"right_expr":{"type":"numeric_atoms","value":1610,"base":11}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2239,"base":11},"right_expr":{"type":"numeric_atoms","value":1613,"base":11}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3822,"base":11},"right_expr":{"type":"numeric_atoms","value":2788,"base":11}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1936,"base":11},"right_expr":{"type":"numeric_atoms","value":6147,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2276,"base":11},"right_expr":{"type":"numeric_atoms","value":3799,"base":11}}}}},"used_operators":["gub5Cegaqo","SUmda5xLS4","Y7wcNGrDQJ","P3lXMJvFrc","Z57zeUYC9z","8w2t5hMYqp","zashukvMKz","Ikt5ks8PT7","QDVgd2eftb","abYXlopdE0","1eCjFl0mb9","nEsXyWgiOK","gJLn6v0xnP","nCS4ZIUYfx"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eewbuw0ToL","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋰*⋻1265","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1756","layer":4},{"info":"number node, value=5116","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=5116, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1756","layer":3},{"info":"number node, value=2834","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=4179, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=1756, right_input=9872, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=6239","layer":2},{"info":"number node, value=2044","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=1610, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=402","layer":2},{"info":"compute binary expreesion, left_input=6239, right_input=402, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-921069","layer":1},{"info":"number node, value=2239","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=1613, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3822","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=2788, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3822","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=3822, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=1936","layer":4},{"info":"number node, value=6147","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=6147, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2276","layer":4},{"info":"number node, value=3799","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=3799, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1523","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1523, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-174, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=174","layer":1},{"info":"compute binary expreesion, left_input=-921069, right_input=174, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=1644","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻1357⫲≸⪮⋰*⋻3931⩵∡⋰*⋻2147⨔≚≋⋰*⋻315A⪄(⊄⩳↩⋰*⋻1599⫗⊷⫓⋰*⋻1234))⩁⩘((⋰*⋻1756⨿⋰*⋻1237)⊮⊟↴(⋰*⋻2965↸⋰*⋻2105)⩧⪆(⋰*⋻1500≥⨤⩑⋰*⋻4689)⨻⩈⩔(⋰*⋻178A⨳⩥⨓⋰*⋻2944))=⋰*⋻1265","reverse_text":"⋰*⋻1265=(⋰*⋻1357⫲≸⪮⋰*⋻3931⩵∡⋰*⋻2147⨔≚≋⋰*⋻315A⪄(⊄⩳↩⋰*⋻1599⫗⊷⫓⋰*⋻1234))⩁⩘((⋰*⋻1756⨿⋰*⋻1237)⊮⊟↴(⋰*⋻2965↸⋰*⋻2105)⩧⪆(⋰*⋻1500≥⨤⩑⋰*⋻4689)⨻⩈⩔(⋰*⋻178A⨳⩥⨓⋰*⋻2944))","cot":[{"info":"⋰*⋻1357⫲≸⪮⋰*⋻3931=⋰*⋻1357","layer":3},{"info":"⋰*⋻2147⨔≚≋⋰*⋻315A=⋰*⋻7465","layer":3},{"info":"⋰*⋻1357⩵∡⋰*⋻7465=⋰*⋻4762","layer":2},{"info":"⋰*⋻1599⫗⊷⫓⋰*⋻1234=⋰*⋻-112","layer":3},{"info":"⊄⩳↩⋰*⋻-112=⋰*⋻336","layer":2},{"info":"⋰*⋻4762⪄⋰*⋻336=⋰*⋻-57A016","layer":1},{"info":"⋰*⋻1756⨿⋰*⋻1237=⋰*⋻-270","layer":3},{"info":"⋰*⋻2965↸⋰*⋻2105=⋰*⋻2965","layer":3},{"info":"⋰*⋻-270⊮⊟↴⋰*⋻2965=⋰*⋻0","layer":2},{"info":"⋰*⋻1500≥⨤⩑⋰*⋻4689=⋰*⋻A22","layer":3},{"info":"⋰*⋻178A⨳⩥⨓⋰*⋻2944=⋰*⋻1165","layer":3},{"info":"⋰*⋻A22⨻⩈⩔⋰*⋻1165=⋰*⋻-149","layer":2},{"info":"⋰*⋻0⩧⪆⋰*⋻-149=⋰*⋻149","layer":1},{"info":"⋰*⋻-57A016⩁⩘⋰*⋻149=⋰*⋻1265","layer":0}]}
{"id":981,"expression_no_base_symbol":"((($2426$⫡⨏$1606$)⨫⇇↔($3019$≎⊠⪸$2790$))⨟⋌⩍(⊀$1790$)→⨶⪴($1089$+⇶⊼$1333$))⪔⊥($1967$⨥⫆$2480$≝⊿(⨮↦↱$4714$)∙⊟($4617$-$1064$)⇻⋧≁$3222$⫗⊷⫓$1504$)","expression":"(((⋰*⋻1906⫡⨏⋰*⋻1230)⨫⇇↔(⋰*⋻22A5≎⊠⪸⋰*⋻2107))⨟⋌⩍(⊀⋰*⋻1388)→⨶⪴(⋰*⋻900+⇶⊼⋰*⋻1002))⪔⊥(⋰*⋻1529⨥⫆⋰*⋻1955≝⊿(⨮↦↱⋰*⋻35A6)∙⊟(⋰*⋻3518-⋰*⋻888)⇻⋧≁⋰*⋻246A⫗⊷⫓⋰*⋻1148)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1176200,"operation_count":15,"complexity_ratio":78413.33333333333,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2426,"base":11},"right_expr":{"type":"numeric_atoms","value":1606,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3019,"base":11},"right_expr":{"type":"numeric_atoms","value":2790,"base":11}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1790,"base":11}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1089,"base":11},"right_expr":{"type":"numeric_atoms","value":1333,"base":11}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1967,"base":11},"right_expr":{"type":"numeric_atoms","value":2480,"base":11}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4714,"base":11}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4617,"base":11},"right_expr":{"type":"numeric_atoms","value":1064,"base":11}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3222,"base":11},"right_expr":{"type":"numeric_atoms","value":1504,"base":11}}}}},"used_operators":["HJ9erzHUuu","rGHVDoGpnC","LXhwmt4mBO","QMFrweE19q","bJkvcejdHO","bF6eod5Gvf","oPMjh9089D","TpPTUOHfaN","SxTAKzQCrw","OKKcZfAt5B","yXekIHxTD4","sYcpBQ0cFf","jCPkEVoL5K","rysDP5nf3Z","zashukvMKz"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Tcnh7f0tEr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","AHs5Up7iyr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","12rbrZMWeM","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2426","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=1606, 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=16125","layer":3},{"info":"number node, value=3019","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=2790, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=781448","layer":3},{"info":"compute binary expreesion, left_input=16125, right_input=781448, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1790","layer":4},{"info":"compute unary expreesion, input=1790, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6898","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=1333, 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=6898, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-527, 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=1967","layer":4},{"info":"number node, value=2480","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=2480, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4836","layer":3},{"info":"number node, value=4714","layer":4},{"info":"compute unary expreesion, input=4714, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-53481186","layer":3},{"info":"compute binary expreesion, left_input=4836, right_input=-53481186, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=106957003","layer":2},{"info":"number node, value=4617","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=1064, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3553","layer":3},{"info":"number node, value=3222","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=1504, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=3553, right_input=-134, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=106957003, right_input=-447, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=1390450885","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1390450885, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1906⫡⨏⋰*⋻1230)⨫⇇↔(⋰*⋻22A5≎⊠⪸⋰*⋻2107))⨟⋌⩍(⊀⋰*⋻1388)→⨶⪴(⋰*⋻900+⇶⊼⋰*⋻1002))⪔⊥(⋰*⋻1529⨥⫆⋰*⋻1955≝⊿(⨮↦↱⋰*⋻35A6)∙⊟(⋰*⋻3518-⋰*⋻888)⇻⋧≁⋰*⋻246A⫗⊷⫓⋰*⋻1148)=NaN","reverse_text":"NaN=(((⋰*⋻1906⫡⨏⋰*⋻1230)⨫⇇↔(⋰*⋻22A5≎⊠⪸⋰*⋻2107))⨟⋌⩍(⊀⋰*⋻1388)→⨶⪴(⋰*⋻900+⇶⊼⋰*⋻1002))⪔⊥(⋰*⋻1529⨥⫆⋰*⋻1955≝⊿(⨮↦↱⋰*⋻35A6)∙⊟(⋰*⋻3518-⋰*⋻888)⇻⋧≁⋰*⋻246A⫗⊷⫓⋰*⋻1148)","cot":[{"info":"⋰*⋻1906⫡⨏⋰*⋻1230=⋰*⋻1112A","layer":3},{"info":"⋰*⋻22A5≎⊠⪸⋰*⋻2107=⋰*⋻494128","layer":3},{"info":"⋰*⋻1112A⨫⇇↔⋰*⋻494128=⋰*⋻-43A","layer":2},{"info":"⊀⋰*⋻1388=⋰*⋻5201","layer":3},{"info":"⋰*⋻900+⇶⊼⋰*⋻1002=NaN","layer":3},{"info":"⋰*⋻5201→⨶⪴NaN=NaN","layer":2},{"info":"⋰*⋻-43A⨟⋌⩍NaN=NaN","layer":1},{"info":"⋰*⋻1529⨥⫆⋰*⋻1955=⋰*⋻36A7","layer":3},{"info":"⨮↦↱⋰*⋻35A6=⋰*⋻-28209230","layer":3},{"info":"⋰*⋻36A7≝⊿⋰*⋻-28209230=⋰*⋻5541341A","layer":2},{"info":"⋰*⋻3518-⋰*⋻888=⋰*⋻2740","layer":3},{"info":"⋰*⋻246A⫗⊷⫓⋰*⋻1148=⋰*⋻-112","layer":3},{"info":"⋰*⋻2740⇻⋧≁⋰*⋻-112=⋰*⋻-377","layer":2},{"info":"⋰*⋻5541341A∙⊟⋰*⋻-377=⋰*⋻65396736A","layer":1},{"info":"NaN⪔⊥⋰*⋻65396736A=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"((⨣⨃⇪$2119$)↤⩊$1393$⫗⊷⫓$1273$∀⇚≩(($3769$⫸⊐$1243$)⪭≯$2029$↼⊘⨖$2027$))⨿((⪲⇎($1817$∴≳≥))∴($5105$⨑⩅≇$3344$⫌⩉⩟$3424$⪶≀⋏$1315$))","expression":"((⨣⨃⇪⋰*⋻1657)↤⩊⋰*⋻1057⫗⊷⫓⋰*⋻A58∀⇚≩((⋰*⋻2917⫸⊐⋰*⋻A30)⪭≯⋰*⋻1585↼⊘⨖⋰*⋻1583))⨿((⪲⇎(⋰*⋻1402∴≳≥))∴(⋰*⋻3921⨑⩅≇⋰*⋻2570⫌⩉⩟⋰*⋻2633⪶≀⋏⋰*⋻A96))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1062096,"operation_count":14,"complexity_ratio":75864.0,"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":2119,"base":11}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1393,"base":11},"right_expr":{"type":"numeric_atoms","value":1273,"base":11}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3769,"base":11},"right_expr":{"type":"numeric_atoms","value":1243,"base":11}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2029,"base":11},"right_expr":{"type":"numeric_atoms","value":2027,"base":11}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1817,"base":11}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5105,"base":11},"right_expr":{"type":"numeric_atoms","value":3344,"base":11}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3424,"base":11},"right_expr":{"type":"numeric_atoms","value":1315,"base":11}}}}},"used_operators":["abYXlopdE0","LRNGc0VcxI","13rbtpv6ld","AcOhelriW5","zashukvMKz","XAx5wpdLa6","mqXw5SEYmG","bPywburJMS","hrf7POJlIJ","XPYlsWDdGa","a3N2hFLK0J","XIIwhv8d0m","h92wMvzauj","zR4jO40bMj"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","X99M06cbEe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2119","layer":4},{"info":"compute unary expreesion, input=2119, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=1393","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1273, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=-134, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=3769","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=1243, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4847","layer":3},{"info":"number node, value=2029","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=2027, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3832","layer":3},{"info":"compute binary expreesion, left_input=4847, right_input=3832, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋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=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=7268","layer":3},{"info":"compute unary expreesion, input=7268, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14536","layer":2},{"info":"number node, value=5105","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=5105, right_input=3344, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-15315","layer":3},{"info":"number node, value=3424","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=1315, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13134","layer":3},{"info":"compute binary expreesion, left_input=-15315, right_input=-13134, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=14536, right_input=-50, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=30720","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=30720, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":11,"result_base":11,"text":"((⨣⨃⇪⋰*⋻1657)↤⩊⋰*⋻1057⫗⊷⫓⋰*⋻A58∀⇚≩((⋰*⋻2917⫸⊐⋰*⋻A30)⪭≯⋰*⋻1585↼⊘⨖⋰*⋻1583))⨿((⪲⇎(⋰*⋻1402∴≳≥))∴(⋰*⋻3921⨑⩅≇⋰*⋻2570⫌⩉⩟⋰*⋻2633⪶≀⋏⋰*⋻A96))=⋰*⋻61","reverse_text":"⋰*⋻61=((⨣⨃⇪⋰*⋻1657)↤⩊⋰*⋻1057⫗⊷⫓⋰*⋻A58∀⇚≩((⋰*⋻2917⫸⊐⋰*⋻A30)⪭≯⋰*⋻1585↼⊘⨖⋰*⋻1583))⨿((⪲⇎(⋰*⋻1402∴≳≥))∴(⋰*⋻3921⨑⩅≇⋰*⋻2570⫌⩉⩟⋰*⋻2633⪶≀⋏⋰*⋻A96))","cot":[{"info":"⨣⨃⇪⋰*⋻1657=⋰*⋻1068","layer":3},{"info":"⋰*⋻1057⫗⊷⫓⋰*⋻A58=⋰*⋻-112","layer":3},{"info":"⋰*⋻1068↤⩊⋰*⋻-112=NaN","layer":2},{"info":"⋰*⋻2917⫸⊐⋰*⋻A30=⋰*⋻3707","layer":3},{"info":"⋰*⋻1585↼⊘⨖⋰*⋻1583=⋰*⋻2974","layer":3},{"info":"⋰*⋻3707⪭≯⋰*⋻2974=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⋰*⋻1402∴≳≥=⋰*⋻5508","layer":3},{"info":"⪲⇎⋰*⋻5508=⋰*⋻AA15","layer":2},{"info":"⋰*⋻3921⨑⩅≇⋰*⋻2570=⋰*⋻-10563","layer":3},{"info":"⋰*⋻2633⪶≀⋏⋰*⋻A96=⋰*⋻-9960","layer":3},{"info":"⋰*⋻-10563⫌⩉⩟⋰*⋻-9960=⋰*⋻-46","layer":2},{"info":"⋰*⋻AA15∴⋰*⋻-46=⋰*⋻21098","layer":1},{"info":"NaN⨿⋰*⋻21098=⋰*⋻61","layer":0}]}
{"id":983,"expression_no_base_symbol":"((($2669$∧)⫸⇳$7335$⩒⫫$1209$)⪨⊡($8011$⪚$2570$)⨑⩅≇($5269$≝⊿$1441$))∛(⩩(⇜(≦∁$3931$)))","expression":"(((⋰*⋻2007∧)⫸⇳⋰*⋻5569⩒⫫⋰*⋻9AA)⪨⊡(⋰*⋻6023⪚⋰*⋻1A27)⨑⩅≇(⋰*⋻3A60≝⊿⋰*⋻10A0))∛(⩩(⇜(≦∁⋰*⋻2A54)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":41985,"operation_count":11,"complexity_ratio":3816.818181818182,"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":2669,"base":11}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":7335,"base":11},"right_expr":{"type":"numeric_atoms","value":1209,"base":11}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":8011,"base":11},"right_expr":{"type":"numeric_atoms","value":2570,"base":11}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":5269,"base":11},"right_expr":{"type":"numeric_atoms","value":1441,"base":11}}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3931,"base":11}}}}},"used_operators":["w2537kitQq","kuIXHzHcAH","gx7XJ7hdpj","z63VuFQld9","KFSx94NKJn","h92wMvzauj","HrjLwUk87U","OKKcZfAt5B","kMhfGuqI2H","lFBm8KRb8F","9ICcGScMcE"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","12rbrZMWeM","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⋰*⋻61","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2669","layer":4},{"info":"compute unary expreesion, input=2669, 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=7335","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=7335, right_input=1209, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7033","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7033, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"number node, value=8011","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=8011, right_input=2570, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=10526","layer":3},{"info":"number node, value=5269","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=5269, right_input=1441, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8684","layer":3},{"info":"compute binary expreesion, left_input=10526, right_input=-8684, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-31578","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-31578, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=127101","layer":1},{"info":"number node, value=3931","layer":4},{"info":"compute unary expreesion, input=3931, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3931","layer":3},{"info":"compute unary expreesion, input=3931, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-31856","layer":2},{"info":"compute unary expreesion, input=-31856, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=127101, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻2007∧)⫸⇳⋰*⋻5569⩒⫫⋰*⋻9AA)⪨⊡(⋰*⋻6023⪚⋰*⋻1A27)⨑⩅≇(⋰*⋻3A60≝⊿⋰*⋻10A0))∛(⩩(⇜(≦∁⋰*⋻2A54)))=⋰*⋻61","reverse_text":"⋰*⋻61=(((⋰*⋻2007∧)⫸⇳⋰*⋻5569⩒⫫⋰*⋻9AA)⪨⊡(⋰*⋻6023⪚⋰*⋻1A27)⨑⩅≇(⋰*⋻3A60≝⊿⋰*⋻10A0))∛(⩩(⇜(≦∁⋰*⋻2A54)))","cot":[{"info":"⋰*⋻2007∧=NaN","layer":3},{"info":"⋰*⋻5569⩒⫫⋰*⋻9AA=⋰*⋻5314","layer":3},{"info":"NaN⫸⇳⋰*⋻5314=NaN","layer":2},{"info":"⋰*⋻6023⪚⋰*⋻1A27=⋰*⋻79AA","layer":3},{"info":"⋰*⋻3A60≝⊿⋰*⋻10A0=⋰*⋻-6585","layer":3},{"info":"⋰*⋻79AA⨑⩅≇⋰*⋻-6585=⋰*⋻-217A8","layer":2},{"info":"NaN⪨⊡⋰*⋻-217A8=⋰*⋻87547","layer":1},{"info":"≦∁⋰*⋻2A54=⋰*⋻2A54","layer":3},{"info":"⇜⋰*⋻2A54=⋰*⋻-21A30","layer":2},{"info":"⩩⋰*⋻-21A30=NaN","layer":1},{"info":"⋰*⋻87547∛NaN=⋰*⋻61","layer":0}]}
{"id":984,"expression_no_base_symbol":"((($1754$⋹)⫌⩉⩟$2078$≎⊠⪸$3664$)⪉⨛($1274$⪡$1015$)∴($4450$⪭≯$3393$))⇴($8577$⫁$9022$↳≱(⇠$1315$)⫦⪉((≸$7054$)⪬∳))","expression":"(((⋰*⋻1355⋹)⫌⩉⩟⋰*⋻161A≎⊠⪸⋰*⋻2831)⪉⨛(⋰*⋻A59⪡⋰*⋻843)∴(⋰*⋻3386⪭≯⋰*⋻2605))⇴(⋰*⋻6498⫁⋰*⋻6862↳≱(⇠⋰*⋻A96)⫦⪉((≸⋰*⋻5333)⪬∳))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2713771,"operation_count":14,"complexity_ratio":193840.7857142857,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1754,"base":11}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2078,"base":11},"right_expr":{"type":"numeric_atoms","value":3664,"base":11}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1274,"base":11},"right_expr":{"type":"numeric_atoms","value":1015,"base":11}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4450,"base":11},"right_expr":{"type":"numeric_atoms","value":3393,"base":11}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":8577,"base":11},"right_expr":{"type":"numeric_atoms","value":9022,"base":11}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1315,"base":11}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":7054,"base":11}}}}},"used_operators":["4JB6nKBMSY","EWw2JM7wp4","XIIwhv8d0m","opAxDRczMr","bJkvcejdHO","hrf7POJlIJ","oraRL2iQuh","XAx5wpdLa6","wscyQdcy20","JwTKLfZU96","0ajvFaJAv0","18saOjeKKm","O9U3z1385E","eOf03JbCpp"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"⋰*⋻-168A7","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1754","layer":4},{"info":"compute unary expreesion, input=1754, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=2078","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=3664, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=537729","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=537729, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1274","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=1015, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=4450","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=4450, right_input=3393, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1862","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=1862, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-5521","layer":1},{"info":"number node, value=8577","layer":4},{"info":"number node, value=9022","layer":4},{"info":"compute binary expreesion, left_input=8577, right_input=9022, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1315","layer":4},{"info":"compute unary expreesion, input=1315, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1073","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1073, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=7054","layer":4},{"info":"compute unary expreesion, input=7054, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute unary expreesion, input=58, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-709, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4900","layer":1},{"info":"compute binary expreesion, left_input=-5521, right_input=4900, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-23712","layer":0}],"base":11,"result_base":11,"text":"(((⋰*⋻1355⋹)⫌⩉⩟⋰*⋻161A≎⊠⪸⋰*⋻2831)⪉⨛(⋰*⋻A59⪡⋰*⋻843)∴(⋰*⋻3386⪭≯⋰*⋻2605))⇴(⋰*⋻6498⫁⋰*⋻6862↳≱(⇠⋰*⋻A96)⫦⪉((≸⋰*⋻5333)⪬∳))=⋰*⋻-168A7","reverse_text":"⋰*⋻-168A7=(((⋰*⋻1355⋹)⫌⩉⩟⋰*⋻161A≎⊠⪸⋰*⋻2831)⪉⨛(⋰*⋻A59⪡⋰*⋻843)∴(⋰*⋻3386⪭≯⋰*⋻2605))⇴(⋰*⋻6498⫁⋰*⋻6862↳≱(⇠⋰*⋻A96)⫦⪉((≸⋰*⋻5333)⪬∳))","cot":[{"info":"⋰*⋻1355⋹=⋰*⋻-19","layer":3},{"info":"⋰*⋻161A≎⊠⪸⋰*⋻2831=⋰*⋻338005","layer":3},{"info":"⋰*⋻-19⫌⩉⩟⋰*⋻338005=⋰*⋻-46","layer":2},{"info":"⋰*⋻A59⪡⋰*⋻843=⋰*⋻98","layer":3},{"info":"⋰*⋻3386⪭≯⋰*⋻2605=NaN","layer":3},{"info":"⋰*⋻98∴NaN=⋰*⋻1443","layer":2},{"info":"⋰*⋻-46⪉⨛⋰*⋻1443=⋰*⋻-416A","layer":1},{"info":"⋰*⋻6498⫁⋰*⋻6862=⋰*⋻136","layer":3},{"info":"⇠⋰*⋻A96=⋰*⋻-896","layer":3},{"info":"⋰*⋻136↳≱⋰*⋻-896=⋰*⋻0","layer":2},{"info":"≸⋰*⋻5333=⋰*⋻53","layer":3},{"info":"⋰*⋻53⪬∳=⋰*⋻-595","layer":2},{"info":"⋰*⋻0⫦⪉⋰*⋻-595=⋰*⋻3755","layer":1},{"info":"⋰*⋻-416A⇴⋰*⋻3755=⋰*⋻-168A7","layer":0}]}
{"id":985,"expression_no_base_symbol":"(((⪛⨧$7919$)∼($7368$⫥∨⫟$6300$))⪔⊥(⫛⫱⨽(⪹$1021$)))≝⊿(($1914$⨪↰⇹$1276$)∓⋝($1986$⩍⋽⫝̸$4561$)↡⊰⫅($1719$⪥⨬⪅)⊹∫⫚$3476$∘$2054$)","expression":"(((⪛⨧⋰*⋻5A4A)∼(⋰*⋻5599⫥∨⫟⋰*⋻4808))⪔⊥(⫛⫱⨽(⪹⋰*⋻849)))≝⊿((⋰*⋻1490⨪↰⇹⋰*⋻A60)∓⋝(⋰*⋻1546⩍⋽⫝̸⋰*⋻3477)↡⊰⫅(⋰*⋻1323⪥⨬⪅)⊹∫⫚⋰*⋻2680∘⋰*⋻15A8)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8411,"operation_count":14,"complexity_ratio":600.7857142857143,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":7919,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7368,"base":11},"right_expr":{"type":"numeric_atoms","value":6300,"base":11}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1021,"base":11}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1914,"base":11},"right_expr":{"type":"numeric_atoms","value":1276,"base":11}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1986,"base":11},"right_expr":{"type":"numeric_atoms","value":4561,"base":11}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":1719,"base":11}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3476,"base":11},"right_expr":{"type":"numeric_atoms","value":2054,"base":11}}}}},"used_operators":["OKKcZfAt5B","HJ9erzHUuu","DyGG3AbaNP","6NJAcO2OWT","KYD54nUTWz","DlLNRPXxWL","USyYr0JgAa","VCtxkLNOzz","PoHhknlbAi","tmPS8pqC7x","BiWNJpBvwn","uWAJUKEvyW","zNRQejTB5A","Z5m6OM72h2"],"dependent_operators":["12rbrZMWeM","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","tifHPKVTfV","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rJVOvQCfKK","Ph9nP6C5qx","xUOZtlo3hN","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=7919","layer":4},{"info":"compute unary expreesion, input=7919, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=17239","layer":3},{"info":"number node, value=7368","layer":4},{"info":"number node, value=6300","layer":4},{"info":"compute binary expreesion, left_input=7368, right_input=6300, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17239, 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=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-841","layer":3},{"info":"compute unary expreesion, input=-841, 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 = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"number node, value=1914","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=1276, 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=1914","layer":3},{"info":"number node, value=1986","layer":4},{"info":"number node, value=4561","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=4561, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3615","layer":3},{"info":"compute binary expreesion, left_input=1914, right_input=3615, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=1719","layer":4},{"info":"compute unary expreesion, input=1719, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"number node, value=3476","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=3476, right_input=2054, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=6952","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=6952, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-308","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-308, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⪛⨧⋰*⋻5A4A)∼(⋰*⋻5599⫥∨⫟⋰*⋻4808))⪔⊥(⫛⫱⨽(⪹⋰*⋻849)))≝⊿((⋰*⋻1490⨪↰⇹⋰*⋻A60)∓⋝(⋰*⋻1546⩍⋽⫝̸⋰*⋻3477)↡⊰⫅(⋰*⋻1323⪥⨬⪅)⊹∫⫚⋰*⋻2680∘⋰*⋻15A8)=NaN","reverse_text":"NaN=(((⪛⨧⋰*⋻5A4A)∼(⋰*⋻5599⫥∨⫟⋰*⋻4808))⪔⊥(⫛⫱⨽(⪹⋰*⋻849)))≝⊿((⋰*⋻1490⨪↰⇹⋰*⋻A60)∓⋝(⋰*⋻1546⩍⋽⫝̸⋰*⋻3477)↡⊰⫅(⋰*⋻1323⪥⨬⪅)⊹∫⫚⋰*⋻2680∘⋰*⋻15A8)","cot":[{"info":"⪛⨧⋰*⋻5A4A=⋰*⋻11A52","layer":3},{"info":"⋰*⋻5599⫥∨⫟⋰*⋻4808=NaN","layer":3},{"info":"⋰*⋻11A52∼NaN=NaN","layer":2},{"info":"⪹⋰*⋻849=⋰*⋻-6A5","layer":3},{"info":"⫛⫱⨽⋰*⋻-6A5=⋰*⋻0","layer":2},{"info":"NaN⪔⊥⋰*⋻0=NaN","layer":1},{"info":"⋰*⋻1490⨪↰⇹⋰*⋻A60=⋰*⋻1490","layer":3},{"info":"⋰*⋻1546⩍⋽⫝̸⋰*⋻3477=⋰*⋻2797","layer":3},{"info":"⋰*⋻1490∓⋝⋰*⋻2797=⋰*⋻61","layer":2},{"info":"⋰*⋻1323⪥⨬⪅=⋰*⋻-3A0","layer":3},{"info":"⋰*⋻2680∘⋰*⋻15A8=⋰*⋻5250","layer":3},{"info":"⋰*⋻-3A0⊹∫⫚⋰*⋻5250=⋰*⋻-260","layer":2},{"info":"⋰*⋻61↡⊰⫅⋰*⋻-260=NaN","layer":1},{"info":"NaN≝⊿NaN=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"(((⇘$3228$)⫚↹⊑$4435$⋾⨃∁$2990$)⪨⊡($3950$⋅⇍$2002$)⪢($2296$≥⨤⩑$4251$))⋹⋡⊁(((⩏⊷≩$1213$)⪉⨛$5456$⨚⇆$2097$)∼($3613$⫻⋑⊟)⪥($1373$⫽⇹≛))","expression":"(((⇘⋰*⋻2475)⫚↹⊑⋰*⋻3372⋾⨃∁⋰*⋻2279)⪨⊡(⋰*⋻2A71⋅⇍⋰*⋻1560)⪢(⋰*⋻17A8≥⨤⩑⋰*⋻3215))⋹⋡⊁(((⩏⊷≩⋰*⋻A03)⪉⨛⋰*⋻4110⨚⇆⋰*⋻1637)∼(⋰*⋻2795⫻⋑⊟)⪥(⋰*⋻1039⫽⇹≛))","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":49194,"operation_count":15,"complexity_ratio":3279.6,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3228,"base":11}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4435,"base":11},"right_expr":{"type":"numeric_atoms","value":2990,"base":11}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3950,"base":11},"right_expr":{"type":"numeric_atoms","value":2002,"base":11}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2296,"base":11},"right_expr":{"type":"numeric_atoms","value":4251,"base":11}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1213,"base":11}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5456,"base":11},"right_expr":{"type":"numeric_atoms","value":2097,"base":11}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":3613,"base":11}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":1373,"base":11}}}}},"used_operators":["As8RqfVLgs","kuIXHzHcAH","dfKe02y8D2","MGuIdZPyUC","212REbPD9h","dWAJyo7jo9","AdZkA7nFnk","gJLn6v0xnP","DyGG3AbaNP","EWw2JM7wp4","uOZ1tnYMDE","lwHaAYXP2r","QbnwKVWMIQ","o575Zjdmzy","NNaDxxp6OQ"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","k8jYdgA6NY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","12rbrZMWeM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3228","layer":4},{"info":"compute unary expreesion, input=3228, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=188062","layer":3},{"info":"number node, value=4435","layer":4},{"info":"number node, value=2990","layer":4},{"info":"compute binary expreesion, left_input=4435, right_input=2990, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=89365026","layer":3},{"info":"compute binary expreesion, left_input=188062, right_input=89365026, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=3950","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=3950, right_input=2002, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2296","layer":4},{"info":"number node, value=4251","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=4251, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=1234, 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=-447, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2125","layer":3},{"info":"number node, value=5456","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=2097, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2125, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"number node, value=3613","layer":4},{"info":"compute unary expreesion, input=3613, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-6716","layer":3},{"info":"number node, value=1373","layer":4},{"info":"compute unary expreesion, input=1373, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute binary expreesion, left_input=-6716, right_input=272, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2, 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 = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((⇘⋰*⋻2475)⫚↹⊑⋰*⋻3372⋾⨃∁⋰*⋻2279)⪨⊡(⋰*⋻2A71⋅⇍⋰*⋻1560)⪢(⋰*⋻17A8≥⨤⩑⋰*⋻3215))⋹⋡⊁(((⩏⊷≩⋰*⋻A03)⪉⨛⋰*⋻4110⨚⇆⋰*⋻1637)∼(⋰*⋻2795⫻⋑⊟)⪥(⋰*⋻1039⫽⇹≛))=NaN","reverse_text":"NaN=(((⇘⋰*⋻2475)⫚↹⊑⋰*⋻3372⋾⨃∁⋰*⋻2279)⪨⊡(⋰*⋻2A71⋅⇍⋰*⋻1560)⪢(⋰*⋻17A8≥⨤⩑⋰*⋻3215))⋹⋡⊁(((⩏⊷≩⋰*⋻A03)⪉⨛⋰*⋻4110⨚⇆⋰*⋻1637)∼(⋰*⋻2795⫻⋑⊟)⪥(⋰*⋻1039⫽⇹≛))","cot":[{"info":"⇘⋰*⋻2475=⋰*⋻119326","layer":3},{"info":"⋰*⋻3372⋾⨃∁⋰*⋻2279=⋰*⋻464982A3","layer":3},{"info":"⋰*⋻119326⫚↹⊑⋰*⋻464982A3=⋰*⋻-377","layer":2},{"info":"⋰*⋻2A71⋅⇍⋰*⋻1560=⋰*⋻-20","layer":3},{"info":"⋰*⋻17A8≥⨤⩑⋰*⋻3215=⋰*⋻A22","layer":3},{"info":"⋰*⋻-20⪢⋰*⋻A22=NaN","layer":2},{"info":"⋰*⋻-377⪨⊡NaN=NaN","layer":1},{"info":"⩏⊷≩⋰*⋻A03=⋰*⋻1662","layer":3},{"info":"⋰*⋻4110⨚⇆⋰*⋻1637=NaN","layer":3},{"info":"⋰*⋻1662⪉⨛NaN=NaN","layer":2},{"info":"⋰*⋻2795⫻⋑⊟=⋰*⋻-5056","layer":3},{"info":"⋰*⋻1039⫽⇹≛=⋰*⋻228","layer":3},{"info":"⋰*⋻-5056⪥⋰*⋻228=⋰*⋻-2","layer":2},{"info":"NaN∼⋰*⋻-2=⋰*⋻0","layer":1},{"info":"NaN⋹⋡⊁⋰*⋻0=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"(((⊢≑≆$4371$)⫩⊇)⨔≚≋($1259$∛$1314$)∓⋝($2349$⩺⋐⫨))⪡(($5219$⫲⨊)⫑)⩌⋺($1143$⨔≚≋$1734$⊾⪯⋞$1169$⫗⊷⫓$2268$)","expression":"(((⊢≑≆⋰*⋻3314)⫩⊇)⨔≚≋(⋰*⋻A45∛⋰*⋻A95)∓⋝(⋰*⋻1846⩺⋐⫨))⪡((⋰*⋻3A15⫲⨊)⫑)⩌⋺(⋰*⋻94A⨔≚≋⋰*⋻1337⊾⪯⋞⋰*⋻973⫗⊷⫓⋰*⋻1782)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1762554,"operation_count":13,"complexity_ratio":135581.07692307694,"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":4371,"base":11}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1259,"base":11},"right_expr":{"type":"numeric_atoms","value":1314,"base":11}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":2349,"base":11}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":5219,"base":11}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1143,"base":11},"right_expr":{"type":"numeric_atoms","value":1734,"base":11}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1169,"base":11},"right_expr":{"type":"numeric_atoms","value":2268,"base":11}}}}},"used_operators":["oraRL2iQuh","Z57zeUYC9z","BjRHVeLaeN","27wFxooxGf","PoHhknlbAi","w2537kitQq","yS9ePUuUdn","g7Hmc5v1ko","CgIo77xlM2","CArV6hThFE","HK0tfVPux8","zashukvMKz"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⋰*⋻-2425","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=4371","layer":4},{"info":"compute unary expreesion, input=4371, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=17936","layer":3},{"info":"compute unary expreesion, input=17936, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-17894","layer":2},{"info":"number node, value=1259","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1314, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2349","layer":4},{"info":"compute unary expreesion, input=2349, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-147","layer":2},{"info":"compute binary expreesion, left_input=-17894, right_input=-147, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=284720","layer":1},{"info":"number node, value=5219","layer":4},{"info":"compute unary expreesion, input=5219, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=26878","layer":3},{"info":"compute unary expreesion, input=26878, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1734, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=2268, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-134, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-822","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-822, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3278","layer":1},{"info":"compute binary expreesion, left_input=284720, right_input=-3278, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-3173","layer":0}],"base":11,"result_base":11,"text":"(((⊢≑≆⋰*⋻3314)⫩⊇)⨔≚≋(⋰*⋻A45∛⋰*⋻A95)∓⋝(⋰*⋻1846⩺⋐⫨))⪡((⋰*⋻3A15⫲⨊)⫑)⩌⋺(⋰*⋻94A⨔≚≋⋰*⋻1337⊾⪯⋞⋰*⋻973⫗⊷⫓⋰*⋻1782)=⋰*⋻-2425","reverse_text":"⋰*⋻-2425=(((⊢≑≆⋰*⋻3314)⫩⊇)⨔≚≋(⋰*⋻A45∛⋰*⋻A95)∓⋝(⋰*⋻1846⩺⋐⫨))⪡((⋰*⋻3A15⫲⨊)⫑)⩌⋺(⋰*⋻94A⨔≚≋⋰*⋻1337⊾⪯⋞⋰*⋻973⫗⊷⫓⋰*⋻1782)","cot":[{"info":"⊢≑≆⋰*⋻3314=⋰*⋻12526","layer":3},{"info":"⋰*⋻12526⫩⊇=⋰*⋻-12498","layer":2},{"info":"⋰*⋻A45∛⋰*⋻A95=⋰*⋻61","layer":3},{"info":"⋰*⋻1846⩺⋐⫨=⋰*⋻0","layer":3},{"info":"⋰*⋻61∓⋝⋰*⋻0=⋰*⋻-124","layer":2},{"info":"⋰*⋻-12498⨔≚≋⋰*⋻-124=⋰*⋻184A07","layer":1},{"info":"⋰*⋻3A15⫲⨊=⋰*⋻19215","layer":3},{"info":"⋰*⋻19215⫑=⋰*⋻2A98","layer":2},{"info":"⋰*⋻94A⨔≚≋⋰*⋻1337=⋰*⋻7465","layer":3},{"info":"⋰*⋻973⫗⊷⫓⋰*⋻1782=⋰*⋻-112","layer":3},{"info":"⋰*⋻7465⊾⪯⋞⋰*⋻-112=⋰*⋻-688","layer":2},{"info":"⋰*⋻2A98⩌⋺⋰*⋻-688=⋰*⋻-2510","layer":1},{"info":"⋰*⋻184A07⪡⋰*⋻-2510=⋰*⋻-2425","layer":0}]}
{"id":988,"expression_no_base_symbol":"(($1694$+$1519$)⪄(⫡⇟⇯$2022$))⫲≸⪮(↡($3019$≥⨤⩑$5692$))↛⩡⫤","expression":"((⋰*⋻1300+⋰*⋻1161)⪄(⫡⇟⇯⋰*⋻1579))⫲≸⪮(↡(⋰*⋻22A5≥⨤⩑⋰*⋻4305))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1965308,"operation_count":7,"complexity_ratio":280758.28571428574,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1694,"base":11},"right_expr":{"type":"numeric_atoms","value":1519,"base":11}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2022,"base":11}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3019,"base":11},"right_expr":{"type":"numeric_atoms","value":5692,"base":11}}}}},"used_operators":["FU0Cs4j7VP","P3lXMJvFrc","SUmda5xLS4","W4YGzv6Whe","qWUSsah53b","MXaNJeIAZ3","gJLn6v0xnP"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","P8v4zCKN1o","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"⋰*⋻-389639A2","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1694","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=1519, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3213","layer":3},{"info":"number node, value=2022","layer":4},{"info":"compute unary expreesion, input=2022, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4912","layer":3},{"info":"compute binary expreesion, left_input=3213, right_input=4912, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-491261","layer":2},{"info":"number node, value=3019","layer":4},{"info":"number node, value=5692","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=5692, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=11106","layer":2},{"info":"compute binary expreesion, left_input=-491261, right_input=11106, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=491261","layer":1},{"info":"compute unary expreesion, input=491261, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-74176500","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻1300+⋰*⋻1161)⪄(⫡⇟⇯⋰*⋻1579))⫲≸⪮(↡(⋰*⋻22A5≥⨤⩑⋰*⋻4305))↛⩡⫤=⋰*⋻-389639A2","reverse_text":"⋰*⋻-389639A2=((⋰*⋻1300+⋰*⋻1161)⪄(⫡⇟⇯⋰*⋻1579))⫲≸⪮(↡(⋰*⋻22A5≥⨤⩑⋰*⋻4305))↛⩡⫤","cot":[{"info":"⋰*⋻1300+⋰*⋻1161=⋰*⋻2461","layer":3},{"info":"⫡⇟⇯⋰*⋻1579=⋰*⋻3766","layer":3},{"info":"⋰*⋻2461⪄⋰*⋻3766=⋰*⋻-306101","layer":2},{"info":"⋰*⋻22A5≥⨤⩑⋰*⋻4305=⋰*⋻A22","layer":3},{"info":"↡⋰*⋻A22=⋰*⋻8387","layer":2},{"info":"⋰*⋻-306101⫲≸⪮⋰*⋻8387=⋰*⋻306101","layer":1},{"info":"⋰*⋻306101↛⩡⫤=⋰*⋻-389639A2","layer":0}]}
{"id":989,"expression_no_base_symbol":"⩦⊞(⋗⩴⪓$1086$)⪟⇏($2859$⊬⨰$1216$)⇤(($2361$⫥∨⫟$5179$)⇀∌)","expression":"⩦⊞(⋗⩴⪓⋰*⋻8A8)⪟⇏(⋰*⋻216A⊬⨰⋰*⋻A06)⇤((⋰*⋻1857⫥∨⫟⋰*⋻3989)⇀∌)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1401,"operation_count":7,"complexity_ratio":200.14285714285714,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1086,"base":11}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2859,"base":11},"right_expr":{"type":"numeric_atoms","value":1216,"base":11}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2361,"base":11},"right_expr":{"type":"numeric_atoms","value":5179,"base":11}}}}},"used_operators":["u7fv1HBiaC","YSKBFp38Pu","GODebY97qR","nOKPl9n5zu","s3Fd5m9Dh2","2k53nXOpI5","KYD54nUTWz"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-173","layer":3},{"info":"number node, value=2859","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=2859, right_input=1216, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6667","layer":3},{"info":"compute binary expreesion, left_input=-173, right_input=6667, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=2361","layer":4},{"info":"number node, value=5179","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=5179, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⩦⊞(⋗⩴⪓⋰*⋻8A8)⪟⇏(⋰*⋻216A⊬⨰⋰*⋻A06)⇤((⋰*⋻1857⫥∨⫟⋰*⋻3989)⇀∌)=NaN","reverse_text":"NaN=⩦⊞(⋗⩴⪓⋰*⋻8A8)⪟⇏(⋰*⋻216A⊬⨰⋰*⋻A06)⇤((⋰*⋻1857⫥∨⫟⋰*⋻3989)⇀∌)","cot":[{"info":"⋗⩴⪓⋰*⋻8A8=⋰*⋻-148","layer":3},{"info":"⋰*⋻216A⊬⨰⋰*⋻A06=⋰*⋻5011","layer":3},{"info":"⋰*⋻-148⪟⇏⋰*⋻5011=⋰*⋻0","layer":2},{"info":"⋰*⋻1857⫥∨⫟⋰*⋻3989=NaN","layer":3},{"info":"NaN⇀∌=NaN","layer":2},{"info":"⋰*⋻0⇤NaN=NaN","layer":1},{"info":"⩦⊞NaN=NaN","layer":0}]}
{"id":990,"expression_no_base_symbol":"((⊤⊝$6054$⇻⋧≁$4864$)↦)⨚((⫓⪴$7046$⫗⊷⫓$2403$)⊠≄⫣)","expression":"((⊤⊝⋰*⋻4604⇻⋧≁⋰*⋻3722)↦)⨚((⫓⪴⋰*⋻5326⫗⊷⫓⋰*⋻1895)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1872853,"operation_count":7,"complexity_ratio":267550.4285714286,"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":6054,"base":11},"right_expr":{"type":"numeric_atoms","value":4864,"base":11}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":7046,"base":11},"right_expr":{"type":"numeric_atoms","value":2403,"base":11}}}}},"used_operators":["nREPSIbpBE","fFznvYxMfW","rXAclfmB4M","jCPkEVoL5K","DIvbN7qnHd","eLxqMNBOBk","zashukvMKz"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","sdazOOVcIp","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⋰*⋻19A","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6054","layer":4},{"info":"number node, value=4864","layer":4},{"info":"compute binary expreesion, left_input=6054, right_input=4864, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-2192","layer":2},{"info":"compute unary expreesion, input=-2192, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-352","layer":1},{"info":"number node, value=7046","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=7046, right_input=2403, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=17956","layer":2},{"info":"compute unary expreesion, input=17956, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-352, right_input=0, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=230","layer":0}],"base":11,"result_base":11,"text":"((⊤⊝⋰*⋻4604⇻⋧≁⋰*⋻3722)↦)⨚((⫓⪴⋰*⋻5326⫗⊷⫓⋰*⋻1895)⊠≄⫣)=⋰*⋻19A","reverse_text":"⋰*⋻19A=((⊤⊝⋰*⋻4604⇻⋧≁⋰*⋻3722)↦)⨚((⫓⪴⋰*⋻5326⫗⊷⫓⋰*⋻1895)⊠≄⫣)","cot":[{"info":"⋰*⋻4604⇻⋧≁⋰*⋻3722=⋰*⋻-377","layer":3},{"info":"⊤⊝⋰*⋻-377=⋰*⋻-1713","layer":2},{"info":"⋰*⋻-1713↦=⋰*⋻-2A0","layer":1},{"info":"⋰*⋻5326⫗⊷⫓⋰*⋻1895=⋰*⋻-112","layer":3},{"info":"⫓⪴⋰*⋻-112=⋰*⋻12544","layer":2},{"info":"⋰*⋻12544⊠≄⫣=⋰*⋻0","layer":1},{"info":"⋰*⋻-2A0⨚⋰*⋻0=⋰*⋻19A","layer":0}]}
{"id":991,"expression_no_base_symbol":"∓((⊈$1139$)⊢$7987$∌$4407$⩚⊴⇥$3751$⫗⊷⫓$2750$⫯⪬∳($1068$⩉⊫⨁))","expression":"∓((⊈⋰*⋻946)⊢⋰*⋻6001∌⋰*⋻3347⩚⊴⇥⋰*⋻2900⫗⊷⫓⋰*⋻2080⫯⪬∳(⋰*⋻891⩉⊫⨁))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2136124,"operation_count":8,"complexity_ratio":267015.5,"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":1139,"base":11}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":7987,"base":11},"right_expr":{"type":"numeric_atoms","value":4407,"base":11}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3751,"base":11},"right_expr":{"type":"numeric_atoms","value":2750,"base":11}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1068,"base":11}}}}},"used_operators":["OwUj7dcsQK","NTOWxs364D","5twsqlHp2o","RHru8klgy8","8cLx32lpNA","d7ASUq0ydm","zashukvMKz","7qqUquhhSb"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","12rbrZMWeM","xUOZtlo3hN","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","7j4O788W3g"],"result":"⋰*⋻21825","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1313","layer":3},{"info":"number node, value=7987","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=7987, right_input=4407, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4407","layer":3},{"info":"compute binary expreesion, left_input=-1313, right_input=-4407, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=2382","layer":2},{"info":"number node, value=3751","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=3751, right_input=2750, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1068","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=1068, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-71","layer":2},{"info":"compute binary expreesion, left_input=2382, right_input=-71, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2432","layer":1},{"info":"compute unary expreesion, input=-2432, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=31608","layer":0}],"base":11,"result_base":11,"text":"∓((⊈⋰*⋻946)⊢⋰*⋻6001∌⋰*⋻3347⩚⊴⇥⋰*⋻2900⫗⊷⫓⋰*⋻2080⫯⪬∳(⋰*⋻891⩉⊫⨁))=⋰*⋻21825","reverse_text":"⋰*⋻21825=∓((⊈⋰*⋻946)⊢⋰*⋻6001∌⋰*⋻3347⩚⊴⇥⋰*⋻2900⫗⊷⫓⋰*⋻2080⫯⪬∳(⋰*⋻891⩉⊫⨁))","cot":[{"info":"⊈⋰*⋻946=⋰*⋻-A94","layer":3},{"info":"⋰*⋻6001∌⋰*⋻3347=⋰*⋻-3347","layer":3},{"info":"⋰*⋻-A94⊢⋰*⋻-3347=⋰*⋻1876","layer":2},{"info":"⋰*⋻2900⫗⊷⫓⋰*⋻2080=⋰*⋻-112","layer":3},{"info":"⋰*⋻891⩉⊫⨁=⋰*⋻891","layer":3},{"info":"⋰*⋻-112⫯⪬∳⋰*⋻891=⋰*⋻-65","layer":2},{"info":"⋰*⋻1876⩚⊴⇥⋰*⋻-65=⋰*⋻-1911","layer":1},{"info":"∓⋰*⋻-1911=⋰*⋻21825","layer":0}]}
{"id":992,"expression_no_base_symbol":"↓⇌(⇺⋃($3658$⨪↰⇹$1174$≧⫂∧$3772$⩌⋺$1371$))","expression":"↓⇌(⇺⋃(⋰*⋻2826⨪↰⇹⋰*⋻978≧⫂∧⋰*⋻291A⩌⋺⋰*⋻1037))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3723,"operation_count":5,"complexity_ratio":744.6,"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":3658,"base":11},"right_expr":{"type":"numeric_atoms","value":1174,"base":11}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3772,"base":11},"right_expr":{"type":"numeric_atoms","value":1371,"base":11}}}}},"used_operators":["PxpmPgHHJV","E5v5B3UAjG","Ph9nP6C5qx","tmPS8pqC7x","g7Hmc5v1ko"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=3658","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=1174, 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=3658","layer":3},{"info":"number node, value=3772","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3772, right_input=1371, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5264","layer":3},{"info":"compute binary expreesion, left_input=3658, right_input=-5264, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8922","layer":2},{"info":"compute unary expreesion, input=8922, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"↓⇌(⇺⋃(⋰*⋻2826⨪↰⇹⋰*⋻978≧⫂∧⋰*⋻291A⩌⋺⋰*⋻1037))=NaN","reverse_text":"NaN=↓⇌(⇺⋃(⋰*⋻2826⨪↰⇹⋰*⋻978≧⫂∧⋰*⋻291A⩌⋺⋰*⋻1037))","cot":[{"info":"⋰*⋻2826⨪↰⇹⋰*⋻978=⋰*⋻2826","layer":3},{"info":"⋰*⋻291A⩌⋺⋰*⋻1037=⋰*⋻-3A56","layer":3},{"info":"⋰*⋻2826≧⫂∧⋰*⋻-3A56=⋰*⋻6781","layer":2},{"info":"⇺⋃⋰*⋻6781=NaN","layer":1},{"info":"↓⇌NaN=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"(($5220$⊋$1472$)⫗⊷⫓($3616$⨳⩥⨓$1273$)⨳⩥⨓($1001$⫩)≁↽≥($3094$⇴$2103$))∼($8920$⪃↞⩐)⨔⇊$1663$⇡⇂$8043$↓(($3758$⇽⩪)⊵↤)","expression":"((⋰*⋻3A16⊋⋰*⋻1119)⫗⊷⫓(⋰*⋻2798⨳⩥⨓⋰*⋻A58)⨳⩥⨓(⋰*⋻830⫩)≁↽≥(⋰*⋻2363⇴⋰*⋻1642))∼(⋰*⋻677A⪃↞⩐)⨔⇊⋰*⋻1282⇡⇂⋰*⋻6052↓((⋰*⋻2907⇽⩪)⊵↤)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1874847,"operation_count":14,"complexity_ratio":133917.64285714287,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5220,"base":11},"right_expr":{"type":"numeric_atoms","value":1472,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3616,"base":11},"right_expr":{"type":"numeric_atoms","value":1273,"base":11}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1001,"base":11}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3094,"base":11},"right_expr":{"type":"numeric_atoms","value":2103,"base":11}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":8920,"base":11}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1663,"base":11},"right_expr":{"type":"numeric_atoms","value":8043,"base":11}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":3758,"base":11}}}}},"used_operators":["DyGG3AbaNP","nCS4ZIUYfx","zashukvMKz","W4tP9CfskL","ncHt1X6cMc","6aG7x05OhS","4JB6nKBMSY","Af076pWI7l","JclMnS0uGI","grXIztHqDa","UMwdvZNt44","7IPrd9c3lf","FonBHBYJbU"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","oWn0xqSxBt","3Oe9XWJUTD","dWAJyo7jo9","sdazOOVcIp","NTOWxs364D","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5220","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=5220, right_input=1472, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=42156884","layer":3},{"info":"number node, value=3616","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=1273, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2343","layer":3},{"info":"compute binary expreesion, left_input=42156884, right_input=-2343, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3094","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=3094, right_input=2103, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=22384","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22384, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=8920","layer":4},{"info":"compute unary expreesion, input=8920, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=53826","layer":3},{"info":"number node, value=1663","layer":4},{"info":"number node, value=8043","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=8043, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=53826, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"number node, value=3758","layer":4},{"info":"compute unary expreesion, input=3758, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=8038","layer":3},{"info":"compute unary expreesion, input=8038, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=9220","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9220, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":11,"result_base":11,"text":"((⋰*⋻3A16⊋⋰*⋻1119)⫗⊷⫓(⋰*⋻2798⨳⩥⨓⋰*⋻A58)⨳⩥⨓(⋰*⋻830⫩)≁↽≥(⋰*⋻2363⇴⋰*⋻1642))∼(⋰*⋻677A⪃↞⩐)⨔⇊⋰*⋻1282⇡⇂⋰*⋻6052↓((⋰*⋻2907⇽⩪)⊵↤)=NaN","reverse_text":"NaN=((⋰*⋻3A16⊋⋰*⋻1119)⫗⊷⫓(⋰*⋻2798⨳⩥⨓⋰*⋻A58)⨳⩥⨓(⋰*⋻830⫩)≁↽≥(⋰*⋻2363⇴⋰*⋻1642))∼(⋰*⋻677A⪃↞⩐)⨔⇊⋰*⋻1282⇡⇂⋰*⋻6052↓((⋰*⋻2907⇽⩪)⊵↤)","cot":[{"info":"⋰*⋻3A16⊋⋰*⋻1119=⋰*⋻21884100","layer":3},{"info":"⋰*⋻2798⨳⩥⨓⋰*⋻A58=⋰*⋻-1840","layer":3},{"info":"⋰*⋻21884100⫗⊷⫓⋰*⋻-1840=⋰*⋻-112","layer":2},{"info":"⋰*⋻830⫩=NaN","layer":3},{"info":"⋰*⋻2363⇴⋰*⋻1642=⋰*⋻158AA","layer":3},{"info":"NaN≁↽≥⋰*⋻158AA=NaN","layer":2},{"info":"⋰*⋻-112⨳⩥⨓NaN=NaN","layer":1},{"info":"⋰*⋻677A⪃↞⩐=⋰*⋻37493","layer":3},{"info":"⋰*⋻1282⇡⇂⋰*⋻6052=NaN","layer":3},{"info":"⋰*⋻37493⨔⇊NaN=NaN","layer":2},{"info":"⋰*⋻2907⇽⩪=⋰*⋻6048","layer":3},{"info":"⋰*⋻6048⊵↤=⋰*⋻61","layer":2},{"info":"NaN↓⋰*⋻61=⋰*⋻6A22","layer":1},{"info":"NaN∼⋰*⋻6A22=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"(∓⪦$1635$≴⪞⇿$5272$)⫚↹⊑($3090$⩺⋐⫨)↬$1479$⫞⩸⩒$4961$∕⩚(($1407$⩇∃⫛$4986$∲⫓$4326$≠≀$1065$)⇟⨁⪰)","expression":"(∓⪦⋰*⋻1257≴⪞⇿⋰*⋻3A63)⫚↹⊑(⋰*⋻235A⩺⋐⫨)↬⋰*⋻1125⫞⩸⩒⋰*⋻3800∕⩚((⋰*⋻106A⩇∃⫛⋰*⋻3823∲⫓⋰*⋻3283≠≀⋰*⋻889)⇟⨁⪰)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2069,"operation_count":11,"complexity_ratio":188.0909090909091,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1635,"base":11},"right_expr":{"type":"numeric_atoms","value":5272,"base":11}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":3090,"base":11}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1479,"base":11},"right_expr":{"type":"numeric_atoms","value":4961,"base":11}}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1407,"base":11},"right_expr":{"type":"numeric_atoms","value":4986,"base":11}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4326,"base":11},"right_expr":{"type":"numeric_atoms","value":1065,"base":11}}}}},"used_operators":["z9ffQ9n5Zr","dfKe02y8D2","D309nIvmXG","lvlrscuwVU","B5M0gjZbta","yS9ePUuUdn","XGcMNugi78","BX1lVwlMe0","i8ToyICDmI","1aApVXNlOP","IwW236VD4Y"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rGHVDoGpnC","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","2DDjHMKMc0","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋰*⋻-403","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1635","layer":4},{"info":"number node, value=5272","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=5272, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3710322","layer":3},{"info":"compute unary expreesion, input=3710322, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=3709914","layer":2},{"info":"number node, value=3090","layer":4},{"info":"compute unary expreesion, input=3090, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=1479","layer":4},{"info":"number node, value=4961","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=4961, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4961","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4961, 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=4961","layer":2},{"info":"compute binary expreesion, left_input=3709914, right_input=4961, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1407","layer":4},{"info":"number node, value=4986","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=4986, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=4052","layer":3},{"info":"number node, value=4326","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=4326, right_input=1065, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8346","layer":3},{"info":"compute binary expreesion, left_input=4052, right_input=-8346, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4052","layer":2},{"info":"compute unary expreesion, input=4052, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4226","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-4226, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":11,"result_base":11,"text":"(∓⪦⋰*⋻1257≴⪞⇿⋰*⋻3A63)⫚↹⊑(⋰*⋻235A⩺⋐⫨)↬⋰*⋻1125⫞⩸⩒⋰*⋻3800∕⩚((⋰*⋻106A⩇∃⫛⋰*⋻3823∲⫓⋰*⋻3283≠≀⋰*⋻889)⇟⨁⪰)=⋰*⋻-403","reverse_text":"⋰*⋻-403=(∓⪦⋰*⋻1257≴⪞⇿⋰*⋻3A63)⫚↹⊑(⋰*⋻235A⩺⋐⫨)↬⋰*⋻1125⫞⩸⩒⋰*⋻3800∕⩚((⋰*⋻106A⩇∃⫛⋰*⋻3823∲⫓⋰*⋻3283≠≀⋰*⋻889)⇟⨁⪰)","cot":[{"info":"⋰*⋻1257≴⪞⇿⋰*⋻3A63=⋰*⋻2104690","layer":3},{"info":"∓⪦⋰*⋻2104690=⋰*⋻210434A","layer":2},{"info":"⋰*⋻235A⩺⋐⫨=⋰*⋻0","layer":3},{"info":"⋰*⋻1125⫞⩸⩒⋰*⋻3800=⋰*⋻3800","layer":3},{"info":"⋰*⋻0↬⋰*⋻3800=⋰*⋻3800","layer":2},{"info":"⋰*⋻210434A⫚↹⊑⋰*⋻3800=⋰*⋻-377","layer":1},{"info":"⋰*⋻106A⩇∃⫛⋰*⋻3823=⋰*⋻3054","layer":3},{"info":"⋰*⋻3283≠≀⋰*⋻889=⋰*⋻-62A8","layer":3},{"info":"⋰*⋻3054∲⫓⋰*⋻-62A8=⋰*⋻3054","layer":2},{"info":"⋰*⋻3054⇟⨁⪰=⋰*⋻-31A2","layer":1},{"info":"⋰*⋻-377∕⩚⋰*⋻-31A2=⋰*⋻-403","layer":0}]}
{"id":995,"expression_no_base_symbol":"≦∁($2435$⫌⩉⩟$1086$)⫣⪄⊒($1224$⩖⊿$3009$)⫘($3457$+⪬∐$1248$∙⊟$7592$⨸$8096$)","expression":"≦∁(⋰*⋻1914⫌⩉⩟⋰*⋻8A8)⫣⪄⊒(⋰*⋻A13⩖⊿⋰*⋻2296)⫘(⋰*⋻2663+⪬∐⋰*⋻A35∙⊟⋰*⋻5782⨸⋰*⋻60A0)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":141098,"operation_count":8,"complexity_ratio":17637.25,"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":2435,"base":11},"right_expr":{"type":"numeric_atoms","value":1086,"base":11}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1224,"base":11},"right_expr":{"type":"numeric_atoms","value":3009,"base":11}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3457,"base":11},"right_expr":{"type":"numeric_atoms","value":1248,"base":11}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":7592,"base":11},"right_expr":{"type":"numeric_atoms","value":8096,"base":11}}}}},"used_operators":["9ICcGScMcE","48vC8HMD2b","RabNbG55vr","XIIwhv8d0m","RZ5CV9rWsJ","SxTAKzQCrw","2GS7woTJqF","KmoU8R5UQR"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","g55IO6H4Gj","D4vGDi5EA2","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⋰*⋻240783807","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=2435","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=2435, right_input=1086, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1224","layer":4},{"info":"number node, value=3009","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=3009, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=19094","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=19094, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-115176","layer":2},{"info":"number node, value=3457","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=1248, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10371","layer":3},{"info":"number node, value=7592","layer":4},{"info":"number node, value=8096","layer":4},{"info":"compute binary expreesion, left_input=7592, right_input=8096, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=15184","layer":3},{"info":"compute binary expreesion, left_input=-10371, right_input=15184, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=150567","layer":2},{"info":"compute binary expreesion, left_input=-115176, right_input=150567, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=507915899","layer":1},{"info":"compute unary expreesion, input=507915899, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=507915899","layer":0}],"base":11,"result_base":11,"text":"≦∁(⋰*⋻1914⫌⩉⩟⋰*⋻8A8)⫣⪄⊒(⋰*⋻A13⩖⊿⋰*⋻2296)⫘(⋰*⋻2663+⪬∐⋰*⋻A35∙⊟⋰*⋻5782⨸⋰*⋻60A0)=⋰*⋻240783807","reverse_text":"⋰*⋻240783807=≦∁(⋰*⋻1914⫌⩉⩟⋰*⋻8A8)⫣⪄⊒(⋰*⋻A13⩖⊿⋰*⋻2296)⫘(⋰*⋻2663+⪬∐⋰*⋻A35∙⊟⋰*⋻5782⨸⋰*⋻60A0)","cot":[{"info":"⋰*⋻1914⫌⩉⩟⋰*⋻8A8=⋰*⋻-46","layer":3},{"info":"⋰*⋻A13⩖⊿⋰*⋻2296=⋰*⋻13389","layer":3},{"info":"⋰*⋻-46⫣⪄⊒⋰*⋻13389=⋰*⋻-79596","layer":2},{"info":"⋰*⋻2663+⪬∐⋰*⋻A35=⋰*⋻-7879","layer":3},{"info":"⋰*⋻5782⨸⋰*⋻60A0=⋰*⋻10454","layer":3},{"info":"⋰*⋻-7879∙⊟⋰*⋻10454=⋰*⋻A313A","layer":2},{"info":"⋰*⋻-79596⫘⋰*⋻A313A=⋰*⋻240783807","layer":1},{"info":"≦∁⋰*⋻240783807=⋰*⋻240783807","layer":0}]}
{"id":996,"expression_no_base_symbol":"(∟⋨(⫡⇟⇯($1996$∙∹∝$1126$)))⊘","expression":"(∟⋨(⫡⇟⇯(⋰*⋻1555∙∹∝⋰*⋻934)))⊘","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":904,"operation_count":4,"complexity_ratio":226.0,"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":1996,"base":11},"right_expr":{"type":"numeric_atoms","value":1126,"base":11}}}}},"used_operators":["gu96TGCTMs","ctOc4cKSDt","qWUSsah53b","HmxsFra2vL"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","eLAdDNolq6","tmPS8pqC7x","DZ8iAZOCBD","P8v4zCKN1o","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⋰*⋻0","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1996","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=1126, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-384","layer":1},{"info":"compute unary expreesion, input=-384, 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":11,"result_base":11,"text":"(∟⋨(⫡⇟⇯(⋰*⋻1555∙∹∝⋰*⋻934)))⊘=⋰*⋻0","reverse_text":"⋰*⋻0=(∟⋨(⫡⇟⇯(⋰*⋻1555∙∹∝⋰*⋻934)))⊘","cot":[{"info":"⋰*⋻1555∙∹∝⋰*⋻934=⋰*⋻0","layer":3},{"info":"⫡⇟⇯⋰*⋻0=⋰*⋻71A","layer":2},{"info":"∟⋨⋰*⋻71A=⋰*⋻-31A","layer":1},{"info":"⋰*⋻-31A⊘=⋰*⋻0","layer":0}]}
{"id":997,"expression_no_base_symbol":"$1989$⨑⩅≇$2402$⋥⋵⩄($6104$⪢$6565$)+⪬∐$4150$⫗⊷⫓$2868$⊉↱≁($5908$⫢⨠$2322$)≀⫉$1571$↤⩊$5035$∊∟⩊$3129$⨂≜$9347$∛($1797$⋛$1845$⨔≚≋$1050$⇤$1081$)","expression":"⋰*⋻1549⨑⩅≇⋰*⋻1894⋥⋵⩄(⋰*⋻464A⪢⋰*⋻4A29)+⪬∐⋰*⋻3133⫗⊷⫓⋰*⋻2178⊉↱≁(⋰*⋻4491⫢⨠⋰*⋻1821)≀⫉⋰*⋻11A9↤⩊⋰*⋻3868∊∟⩊⋰*⋻2395⨂≜⋰*⋻7028∛(⋰*⋻1394⋛⋰*⋻1428⨔≚≋⋰*⋻875⇤⋰*⋻8A3)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2240793,"operation_count":15,"complexity_ratio":149386.2,"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":1989,"base":11},"right_expr":{"type":"numeric_atoms","value":2402,"base":11}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6104,"base":11},"right_expr":{"type":"numeric_atoms","value":6565,"base":11}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4150,"base":11},"right_expr":{"type":"numeric_atoms","value":2868,"base":11}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5908,"base":11},"right_expr":{"type":"numeric_atoms","value":2322,"base":11}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1571,"base":11},"right_expr":{"type":"numeric_atoms","value":5035,"base":11}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3129,"base":11},"right_expr":{"type":"numeric_atoms","value":9347,"base":11}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1797,"base":11},"right_expr":{"type":"numeric_atoms","value":1845,"base":11}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1050,"base":11},"right_expr":{"type":"numeric_atoms","value":1081,"base":11}}}}},"used_operators":["oZj3VtZNQx","2GS7woTJqF","7t3wd0Fuz7","h92wMvzauj","dWAJyo7jo9","w2P8NbNXyL","zashukvMKz","xlXykHWxX1","w2537kitQq","ddLRYrp01A","13rbtpv6ld","k1SHOSEABc","Z57zeUYC9z","YbUVn0Rbpy","YSKBFp38Pu"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","g55IO6H4Gj","D4vGDi5EA2","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1989","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=2402, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5967","layer":3},{"info":"number node, value=6104","layer":4},{"info":"number node, value=6565","layer":4},{"info":"compute binary expreesion, left_input=6104, right_input=6565, 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=-5967, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=4150","layer":4},{"info":"number node, value=2868","layer":4},{"info":"compute binary expreesion, left_input=4150, right_input=2868, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=5908","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=5908, right_input=2322, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=160, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-3414","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3414, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"number node, value=1571","layer":4},{"info":"number node, value=5035","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=5035, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3129","layer":4},{"info":"number node, value=9347","layer":4},{"info":"compute binary expreesion, left_input=3129, right_input=9347, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":2},{"info":"number node, value=1797","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1845, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-116019","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1081, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-7807","layer":3},{"info":"compute binary expreesion, left_input=-116019, right_input=-7807, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=1916000","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1916000, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"⋰*⋻1549⨑⩅≇⋰*⋻1894⋥⋵⩄(⋰*⋻464A⪢⋰*⋻4A29)+⪬∐⋰*⋻3133⫗⊷⫓⋰*⋻2178⊉↱≁(⋰*⋻4491⫢⨠⋰*⋻1821)≀⫉⋰*⋻11A9↤⩊⋰*⋻3868∊∟⩊⋰*⋻2395⨂≜⋰*⋻7028∛(⋰*⋻1394⋛⋰*⋻1428⨔≚≋⋰*⋻875⇤⋰*⋻8A3)=NaN","reverse_text":"NaN=⋰*⋻1549⨑⩅≇⋰*⋻1894⋥⋵⩄(⋰*⋻464A⪢⋰*⋻4A29)+⪬∐⋰*⋻3133⫗⊷⫓⋰*⋻2178⊉↱≁(⋰*⋻4491⫢⨠⋰*⋻1821)≀⫉⋰*⋻11A9↤⩊⋰*⋻3868∊∟⩊⋰*⋻2395⨂≜⋰*⋻7028∛(⋰*⋻1394⋛⋰*⋻1428⨔≚≋⋰*⋻875⇤⋰*⋻8A3)","cot":[{"info":"⋰*⋻1549⨑⩅≇⋰*⋻1894=⋰*⋻-4535","layer":3},{"info":"⋰*⋻464A⪢⋰*⋻4A29=NaN","layer":3},{"info":"⋰*⋻-4535⋥⋵⩄NaN=NaN","layer":2},{"info":"⋰*⋻3133⫗⊷⫓⋰*⋻2178=⋰*⋻-112","layer":3},{"info":"⋰*⋻4491⫢⨠⋰*⋻1821=⋰*⋻136","layer":3},{"info":"⋰*⋻-112⊉↱≁⋰*⋻136=⋰*⋻-2624","layer":2},{"info":"NaN+⪬∐⋰*⋻-2624=NaN","layer":1},{"info":"⋰*⋻11A9↤⩊⋰*⋻3868=NaN","layer":3},{"info":"⋰*⋻2395⨂≜⋰*⋻7028=NaN","layer":3},{"info":"NaN∊∟⩊NaN=NaN","layer":2},{"info":"⋰*⋻1394⋛⋰*⋻1428=⋰*⋻-7A192","layer":3},{"info":"⋰*⋻875⇤⋰*⋻8A3=⋰*⋻-5958","layer":3},{"info":"⋰*⋻-7A192⨔≚≋⋰*⋻-5958=⋰*⋻1099579","layer":2},{"info":"NaN∛⋰*⋻1099579=NaN","layer":1},{"info":"NaN≀⫉NaN=NaN","layer":0}]}
{"id":998,"expression_no_base_symbol":"(∮(↥$5443$))⨿(($1358$↺$4755$)⩺⪪$2217$⫥∨⫟$1011$)⊭↱(($1370$⩺⪪$4051$)⊴($1200$⪑⩈))⇂≾⫗($3580$⨸$4563$⪪$1067$⊱⇼⊻$3843$)","expression":"(∮(↥⋰*⋻40A9))⨿((⋰*⋻1025↺⋰*⋻3633)⩺⪪⋰*⋻1736⫥∨⫟⋰*⋻83A)⊭↱((⋰*⋻1036⩺⪪⋰*⋻3053)⊴(⋰*⋻9A1⪑⩈))⇂≾⫗(⋰*⋻2765⨸⋰*⋻3479⪪⋰*⋻890⊱⇼⊻⋰*⋻2984)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":742432,"operation_count":14,"complexity_ratio":53030.857142857145,"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":5443,"base":11}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1358,"base":11},"right_expr":{"type":"numeric_atoms","value":4755,"base":11}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2217,"base":11},"right_expr":{"type":"numeric_atoms","value":1011,"base":11}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1370,"base":11},"right_expr":{"type":"numeric_atoms","value":4051,"base":11}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1200,"base":11}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3580,"base":11},"right_expr":{"type":"numeric_atoms","value":4563,"base":11}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1067,"base":11},"right_expr":{"type":"numeric_atoms","value":3843,"base":11}}}}},"used_operators":["COABgblf1C","abYXlopdE0","CqXKPLVYql","A8NUZmVepG","uvdQJvN4PV","7j4O788W3g","KYD54nUTWz","aBQ6xLxuTc","Nsiff2A1zJ","C6VvDP6HwP","xD69zh8xqp","KmoU8R5UQR","FyVja0WsTP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=5443","layer":4},{"info":"compute unary expreesion, input=5443, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=37","layer":3},{"info":"compute unary expreesion, input=37, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238099","layer":2},{"info":"number node, value=1358","layer":4},{"info":"number node, value=4755","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=4755, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4755","layer":3},{"info":"number node, value=2217","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=1011, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4755, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-238099, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=1370","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=4051, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-1158","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=-1158, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3580","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=3580, right_input=4563, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7160","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=3843","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=3843, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=7160, right_input=434, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1077249","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1077249, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(∮(↥⋰*⋻40A9))⨿((⋰*⋻1025↺⋰*⋻3633)⩺⪪⋰*⋻1736⫥∨⫟⋰*⋻83A)⊭↱((⋰*⋻1036⩺⪪⋰*⋻3053)⊴(⋰*⋻9A1⪑⩈))⇂≾⫗(⋰*⋻2765⨸⋰*⋻3479⪪⋰*⋻890⊱⇼⊻⋰*⋻2984)=NaN","reverse_text":"NaN=(∮(↥⋰*⋻40A9))⨿((⋰*⋻1025↺⋰*⋻3633)⩺⪪⋰*⋻1736⫥∨⫟⋰*⋻83A)⊭↱((⋰*⋻1036⩺⪪⋰*⋻3053)⊴(⋰*⋻9A1⪑⩈))⇂≾⫗(⋰*⋻2765⨸⋰*⋻3479⪪⋰*⋻890⊱⇼⊻⋰*⋻2984)","cot":[{"info":"↥⋰*⋻40A9=⋰*⋻34","layer":3},{"info":"∮⋰*⋻34=⋰*⋻-152984","layer":2},{"info":"⋰*⋻1025↺⋰*⋻3633=⋰*⋻3633","layer":3},{"info":"⋰*⋻1736⫥∨⫟⋰*⋻83A=NaN","layer":3},{"info":"⋰*⋻3633⩺⪪NaN=NaN","layer":2},{"info":"⋰*⋻-152984⨿NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻1036⩺⪪⋰*⋻3053=⋰*⋻-1403","layer":3},{"info":"⋰*⋻9A1⪑⩈=⋰*⋻-963","layer":3},{"info":"⋰*⋻-1403⊴⋰*⋻-963=NaN","layer":2},{"info":"⋰*⋻2765⨸⋰*⋻3479=⋰*⋻541A","layer":3},{"info":"⋰*⋻890⊱⇼⊻⋰*⋻2984=⋰*⋻365","layer":3},{"info":"⋰*⋻541A⪪⋰*⋻365=⋰*⋻-676398","layer":2},{"info":"NaN⇂≾⫗⋰*⋻-676398=NaN","layer":1},{"info":"⋰*⋻61⊭↱NaN=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"($6073$∇⊂⋱$3133$⊭↱(⨡↴$1207$))⋥≓≎(↨$2171$)↹⊜($5842$⊋$2920$)⊉≛↸(+⊝⨔($1237$⫗⊷⫓$3295$⨟⋌⩍(⇤←$2309$)))","expression":"(⋰*⋻4621∇⊂⋱⋰*⋻2399⊭↱(⨡↴⋰*⋻9A8))⋥≓≎(↨⋰*⋻16A4)↹⊜(⋰*⋻4431⊋⋰*⋻2215)⊉≛↸(+⊝⨔(⋰*⋻A25⫗⊷⫓⋰*⋻2526⨟⋌⩍(⇤←⋰*⋻180A)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2565758,"operation_count":12,"complexity_ratio":213813.16666666666,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":6073,"base":11},"right_expr":{"type":"numeric_atoms","value":3133,"base":11}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1207,"base":11}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2171,"base":11}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5842,"base":11},"right_expr":{"type":"numeric_atoms","value":2920,"base":11}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1237,"base":11},"right_expr":{"type":"numeric_atoms","value":3295,"base":11}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2309,"base":11}}}}},"used_operators":["DZ8iAZOCBD","Qy55tPpLXF","COABgblf1C","nhYeJWJD5X","liw5iZPkLH","9bazX3JMtO","jiX4gk2v2Q","W4tP9CfskL","DhbWaqg5eL","rGHVDoGpnC","zashukvMKz","jfAgQ2OQeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","P8v4zCKN1o","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rGHVDoGpnC","oZj3VtZNQx","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Tcnh7f0tEr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"⋰*⋻112","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=6073","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=6073, right_input=3133, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11600","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2256","layer":3},{"info":"compute binary expreesion, left_input=11600, right_input=2256, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-18683","layer":2},{"info":"number node, value=2171","layer":4},{"info":"compute unary expreesion, input=2171, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=5842","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=5842, right_input=2920, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=67262076","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67262076, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18683, 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=1237","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=3295, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2309","layer":4},{"info":"compute unary expreesion, input=2309, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-10179","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-10179, 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 = 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=67, right_input=1522, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=134","layer":0}],"base":11,"result_base":11,"text":"(⋰*⋻4621∇⊂⋱⋰*⋻2399⊭↱(⨡↴⋰*⋻9A8))⋥≓≎(↨⋰*⋻16A4)↹⊜(⋰*⋻4431⊋⋰*⋻2215)⊉≛↸(+⊝⨔(⋰*⋻A25⫗⊷⫓⋰*⋻2526⨟⋌⩍(⇤←⋰*⋻180A)))=⋰*⋻112","reverse_text":"⋰*⋻112=(⋰*⋻4621∇⊂⋱⋰*⋻2399⊭↱(⨡↴⋰*⋻9A8))⋥≓≎(↨⋰*⋻16A4)↹⊜(⋰*⋻4431⊋⋰*⋻2215)⊉≛↸(+⊝⨔(⋰*⋻A25⫗⊷⫓⋰*⋻2526⨟⋌⩍(⇤←⋰*⋻180A)))","cot":[{"info":"⋰*⋻4621∇⊂⋱⋰*⋻2399=⋰*⋻8796","layer":3},{"info":"⨡↴⋰*⋻9A8=⋰*⋻1771","layer":3},{"info":"⋰*⋻8796⊭↱⋰*⋻1771=⋰*⋻-13045","layer":2},{"info":"↨⋰*⋻16A4=NaN","layer":3},{"info":"⋰*⋻4431⊋⋰*⋻2215=⋰*⋻34A70AA2","layer":3},{"info":"NaN↹⊜⋰*⋻34A70AA2=NaN","layer":2},{"info":"⋰*⋻-13045⋥≓≎NaN=⋰*⋻61","layer":1},{"info":"⋰*⋻A25⫗⊷⫓⋰*⋻2526=⋰*⋻-112","layer":3},{"info":"⇤←⋰*⋻180A=⋰*⋻-7714","layer":3},{"info":"⋰*⋻-112⨟⋌⩍⋰*⋻-7714=NaN","layer":2},{"info":"+⊝⨔NaN=⋰*⋻1164","layer":1},{"info":"⋰*⋻61⊉≛↸⋰*⋻1164=⋰*⋻112","layer":0}]}
{"id":1000,"expression_no_base_symbol":"(((↯⪼$1085$)≭($6984$⨳⩥⨓$5214$))≀⫉(⊆⋠$1098$⨑⩅≇$8420$))⩦((⊄⩳↩(⊿$4044$))⪔⊥(∂⩏⊆(↯⪼$6367$)))","expression":"(((↯⪼⋰*⋻8A7)≭(⋰*⋻527A⨳⩥⨓⋰*⋻3A10))≀⫉(⊆⋠⋰*⋻909⨑⩅≇⋰*⋻6365))⩦((⊄⩳↩(⊿⋰*⋻3047))⪔⊥(∂⩏⊆(↯⪼⋰*⋻4869)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8866,"operation_count":12,"complexity_ratio":738.8333333333334,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1085,"base":11}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6984,"base":11},"right_expr":{"type":"numeric_atoms","value":5214,"base":11}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1098,"base":11},"right_expr":{"type":"numeric_atoms","value":8420,"base":11}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4044,"base":11}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6367,"base":11}}}}},"used_operators":["0kmYd0q39Y","oZj3VtZNQx","rxpJgHHUmx","8jW3W4yZS5","nCS4ZIUYfx","EBhcHTkKd8","h92wMvzauj","HJ9erzHUuu","8w2t5hMYqp","DO4fhlbJSI","8WDwsbhb0R"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","14qkJME0vr","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":11,"flag":true},"cot_info":[{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, 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=6984","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=6984, right_input=5214, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1770","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1770, 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=1098","layer":4},{"info":"number node, value=8420","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=8420, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3294","layer":3},{"info":"compute unary expreesion, input=-3294, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"number node, value=4044","layer":4},{"info":"compute unary expreesion, input=4044, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-16914","layer":3},{"info":"compute unary expreesion, input=-16914, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=50742","layer":2},{"info":"number node, value=6367","layer":4},{"info":"compute unary expreesion, input=6367, 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 = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=505","layer":2},{"info":"compute binary expreesion, left_input=50742, right_input=505, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=201759","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=201759, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":11,"result_base":11,"text":"(((↯⪼⋰*⋻8A7)≭(⋰*⋻527A⨳⩥⨓⋰*⋻3A10))≀⫉(⊆⋠⋰*⋻909⨑⩅≇⋰*⋻6365))⩦((⊄⩳↩(⊿⋰*⋻3047))⪔⊥(∂⩏⊆(↯⪼⋰*⋻4869)))=NaN","reverse_text":"NaN=(((↯⪼⋰*⋻8A7)≭(⋰*⋻527A⨳⩥⨓⋰*⋻3A10))≀⫉(⊆⋠⋰*⋻909⨑⩅≇⋰*⋻6365))⩦((⊄⩳↩(⊿⋰*⋻3047))⪔⊥(∂⩏⊆(↯⪼⋰*⋻4869)))","cot":[{"info":"↯⪼⋰*⋻8A7=⋰*⋻-1A","layer":3},{"info":"⋰*⋻527A⨳⩥⨓⋰*⋻3A10=⋰*⋻-136A","layer":3},{"info":"⋰*⋻-1A≭⋰*⋻-136A=NaN","layer":2},{"info":"⋰*⋻909⨑⩅≇⋰*⋻6365=⋰*⋻-2525","layer":3},{"info":"⊆⋠⋰*⋻-2525=⋰*⋻2A98","layer":2},{"info":"NaN≀⫉⋰*⋻2A98=NaN","layer":1},{"info":"⊿⋰*⋻3047=⋰*⋻-11787","layer":3},{"info":"⊄⩳↩⋰*⋻-11787=⋰*⋻3513A","layer":2},{"info":"↯⪼⋰*⋻4869=⋰*⋻-1A","layer":3},{"info":"∂⩏⊆⋰*⋻-1A=⋰*⋻41A","layer":2},{"info":"⋰*⋻3513A⪔⊥⋰*⋻41A=⋰*⋻128648","layer":1},{"info":"NaN⩦⋰*⋻128648=NaN","layer":0}]}